%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SCT080-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.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 05:05:57 PM UTC 2026
% Result : Unsatisfiable 0.76s 5.69s
% Output : CNFRefutation 9.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_689)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_insert__def_0,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__def_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_complete__lattice_OInf__binary_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__binary_0) ).
cnf(cls_complete__lattice_OSup__binary_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__binary_0) ).
cnf(cls_complete__lattice_OInf__singleton_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__singleton_0) ).
cnf(cls_complete__lattice_OSup__singleton_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__singleton_0) ).
cnf(cls_complete__lattice_OInf__insert_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__insert_0) ).
cnf(cls_complete__lattice_OSup__insert_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__insert_0) ).
cnf(cls_equiv__class__nondisjoint_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),c_Relation_OImage(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),tc_fun(X1,tc_bool))))
| ~ c_Equiv__Relations_Oequiv(X6,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__nondisjoint_0) ).
cnf(cls_inj__on__insert_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1)))
| ~ c_Fun_Oinj__on(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_1) ).
cnf(cls_compose__assoc_0,axiom,
( c_FuncSet_Ocompose(X1,X2,c_FuncSet_Ocompose(X1,X3,X4,X5,X6,X7),X5,X7,X8) = c_FuncSet_Ocompose(X1,c_FuncSet_Ocompose(X9,X2,X3,X6,X7,X8),X4,X5,X6,X8)
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X7,X8)),X2),c_FuncSet_OPi(X10,c_COMBK(X11,tc_fun(X8,tc_bool),X7),X7,X8)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X6,X7)),X3),c_FuncSet_OPi(X9,c_COMBK(X10,tc_fun(X7,tc_bool),X6),X6,X7)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X6)),X4),c_FuncSet_OPi(X1,c_COMBK(X9,tc_fun(X6,tc_bool),X5),X5,X6))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compose__assoc_0) ).
cnf(cls_compose__def_0,axiom,
c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6) = c_FuncSet_Orestrict(c_COMBB(X2,X3,X5,X6,X4),X1,X4,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compose__def_0) ).
cnf(cls_funcset__compose_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Ocompose(X3,X4,X5,X1,X6,X2)),c_FuncSet_OPi(X3,c_COMBK(X7,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X6,X2)),X4),c_FuncSet_OPi(X8,c_COMBK(X7,tc_fun(X2,tc_bool),X6),X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X6)),X5),c_FuncSet_OPi(X3,c_COMBK(X8,tc_fun(X6,tc_bool),X1),X1,X6))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcset__compose_0) ).
cnf(cls_inj__on__insert_2,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5)))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_2) ).
cnf(cls_Diff1__fold__graph_0,axiom,
( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ hBOOL(hAPP(hAPP(c_in(X6),X4),X3))
| ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff1__fold__graph_0) ).
cnf(cls_compose__extensional_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Ocompose(X3,X4,X5,X1,X6,X2)),c_FuncSet_Oextensional(X3,X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compose__extensional_0) ).
cnf(cls_quotientI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_Relation_OImage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1)),c_Equiv__Relations_Oquotient(X4,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_quotientI_0) ).
cnf(cls_subset__equiv__class_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X5))
| ~ c_lessequals(c_Relation_OImage(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),tc_fun(X1,tc_bool))
| ~ c_Equiv__Relations_Oequiv(X5,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__equiv__class_0) ).
cnf(cls_Image__singleton__iff_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),c_Relation_OImage(X5,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__singleton__iff_0) ).
cnf(cls_fold__graph_OinsertI_0,axiom,
( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X3),X6),X5,X7)
| hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
| ~ c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_OinsertI_0) ).
cnf(cls_vimage__singleton__eq_0,axiom,
( hAPP(X1,X2) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X4,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__singleton__eq_0) ).
cnf(cls_equiv__class__subset_0,axiom,
( c_lessequals(c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__subset_0) ).
cnf(cls_fun__upd__image_0,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_0) ).
cnf(cls_Image__singleton__iff_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X4,X2,X5,X1)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__singleton__iff_1) ).
cnf(cls_vimage__singleton__eq_1,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(hAPP(X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X1,X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__singleton__eq_1) ).
cnf(cls_equiv__class__eq__iff_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_3) ).
cnf(cls_eq__equiv__class__iff_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__equiv__class__iff_0) ).
cnf(cls_doubleton__eq__iff_0,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
cnf(cls_doubleton__eq__iff_1,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
cnf(cls_doubleton__eq__iff_2,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
cnf(cls_doubleton__eq__iff_3,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
cnf(cls_equiv__class__self_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_Equiv__Relations_Oequiv(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__self_0) ).
cnf(cls_eq__equiv__class_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__equiv__class_0) ).
cnf(cls_bij__betw__compose_0,axiom,
( c_Fun_Obij__betw(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X1,X7,X4,X6)
| ~ c_Fun_Obij__betw(X2,X8,X7,X5,X6)
| ~ c_Fun_Obij__betw(X3,X1,X8,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__betw__compose_0) ).
cnf(cls_eq__equiv__class__iff2_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X1,X4,X2,X2)),X3))
| c_Equiv__Relations_Oquotient(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2) != c_Equiv__Relations_Oquotient(c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2)
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__equiv__class__iff2_0) ).
cnf(cls_diff__single__insert_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__single__insert_0) ).
cnf(cls_subset__insert__iff_3,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_3) ).
cnf(cls_subset__insert__iff_4,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_4) ).
cnf(cls_eq__equiv__class__iff_1,axiom,
( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__equiv__class__iff_1) ).
cnf(cls_compose__id__inv__into_0,axiom,
c_FuncSet_Ocompose(c_Set_Oimage(X1,X2,X3,X4),X1,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3),X4,X3,X4) = c_FuncSet_Orestrict(c_COMBI(X4),c_Set_Oimage(X1,X2,X3,X4),X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compose__id__inv__into_0) ).
cnf(cls_equiv__class__eq__iff_0,axiom,
( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_0) ).
cnf(cls_equiv__class__eq_0,axiom,
( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__eq_0) ).
cnf(cls_eq__equiv__class__iff2_1,axiom,
( c_Equiv__Relations_Oquotient(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2) = c_Equiv__Relations_Oquotient(c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X1,X4,X2,X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__equiv__class__iff2_1) ).
cnf(cls_subset__insert__iff_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_0) ).
cnf(cls_vimage__insert_0,axiom,
c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__insert_0) ).
cnf(cls_inj__on__compose_0,axiom,
( c_Fun_Oinj__on(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X1,X4,X6)
| ~ c_Fun_Oinj__on(X2,X7,X5,X6)
| ~ c_Fun_Obij__betw(X3,X1,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__compose_0) ).
cnf(cls_compose__inv__into__id_0,axiom,
( c_FuncSet_Ocompose(X1,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3),X2,X3,X4,X3) = c_FuncSet_Orestrict(c_COMBI(X3),X1,X3,X3)
| ~ c_Fun_Obij__betw(X2,X1,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compose__inv__into__id_0) ).
cnf(cls_Id__compose_0,axiom,
( c_FuncSet_Ocompose(X1,c_FuncSet_Orestrict(c_COMBI(X2),X3,X2,X2),X4,X5,X2,X2) = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X2)),X4),c_FuncSet_Oextensional(X1,X5,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X2)),X4),c_FuncSet_OPi(X1,c_COMBK(X3,tc_fun(X2,tc_bool),X5),X5,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__compose_0) ).
cnf(cls_compose__Id_0,axiom,
( c_FuncSet_Ocompose(X1,X2,c_FuncSet_Orestrict(c_COMBI(X3),X1,X3,X3),X3,X3,X4) = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X2),c_FuncSet_Oextensional(X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X2),c_FuncSet_OPi(X1,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compose__Id_0) ).
cnf(cls_singletonE_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_0) ).
cnf(cls_insertE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
cnf(cls_Diff__insert2_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_insert__Diff__single_0,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__single_0) ).
cnf(cls_Inf__binary_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__binary_0) ).
cnf(cls_Sup__binary_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__binary_0) ).
cnf(cls_in__above_6,axiom,
( X1 = X2
| X1 = X3
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X4),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_6) ).
cnf(cls_in__below_6,axiom,
( X1 = X2
| X3 = X1
| X2 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X4),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_6) ).
cnf(cls_in__above_12,axiom,
( X1 = X2
| X1 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_12) ).
cnf(cls_in__below_12,axiom,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_12) ).
cnf(cls_in__above_7,axiom,
( X1 = X4
| X1 = X4
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_7) ).
cnf(cls_in__below_7,axiom,
( X2 = X4
| X4 = X2
| X4 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_7) ).
cnf(cls_in__below_11,axiom,
( X1 = X2
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_11) ).
cnf(cls_in__above_11,axiom,
( X1 = X2
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_11) ).
cnf(cls_doubleton__eq__iff_4,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_surj__compose_0,axiom,
c_Set_Oimage(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X1,X4,X6) = c_Set_Oimage(X2,c_Set_Oimage(X3,X1,X4,X5),X5,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_surj__compose_0) ).
cnf(cls_insert__Diff_0,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff_0) ).
cnf(cls_vimage__def_0,axiom,
c_Set_Ovimage(X1,X2,X3,X4) = c_Collect(hAPP(c_COMBC(c_COMBB(c_in(X4),X1,X4,tc_fun(tc_fun(X4,tc_bool),tc_bool),X3),X3,tc_fun(X4,tc_bool),tc_bool),X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__def_0) ).
cnf(cls_insert__inter__insert_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).
cnf(cls_compose__eq_0,axiom,
( hAPP(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X7) = hAPP(X2,hAPP(X3,X7))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X7),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compose__eq_0) ).
cnf(cls_setsum__diff1__nat_1,axiom,
( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,tc_nat) = c_Finite__Set_Osetsum(X1,X2,X4,tc_nat)
| hBOOL(hAPP(hAPP(c_in(X4),X3),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1__nat_1) ).
cnf(cls_quotientE_0,axiom,
( X1 = c_Relation_OImage(X2,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(X3,X1,X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4,X4)
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,tc_bool)),X1),c_Equiv__Relations_Oquotient(X3,X2,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_quotientE_0) ).
cnf(cls_subset__singletonD_0,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
cnf(cls_Diff__insert_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert_0) ).
cnf(cls_singleton__iff_1,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
cnf(cls_Diff__insert__absorb_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).
cnf(cls_insertCI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_0) ).
cnf(cls_insert__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
cnf(cls_insert__mono_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_insertCI_1,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
cnf(cls_insertI1_0,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertI1_0) ).
cnf(cls_insert__iff_1,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_inj__on__insert_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).
cnf(cls_image__insert_0,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
cnf(cls_subset__insert__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
cnf(cls_subset__insert_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_0) ).
cnf(cls_Int__insert__left_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).
cnf(cls_Int__insert__right_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X4)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).
cnf(cls_insert__subset_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
cnf(cls_insert__ident_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
| hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
| X2 = X4
| c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__ident_0) ).
cnf(cls_insert__subset_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
cnf(cls_insert__Diff__if_1,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).
cnf(cls_singleton__inject_0,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
cnf(cls_Un__insert__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
cnf(cls_Un__insert__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
cnf(cls_insert__is__Un_0,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
cnf(cls_quotient__eq__iff_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X4,X2,X1,X1)),X6))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),c_Equiv__Relations_Oquotient(X5,X6,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),c_Equiv__Relations_Oquotient(X5,X6,X1)))
| ~ c_Equiv__Relations_Oequiv(X5,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_quotient__eq__iff_0) ).
cnf(cls_in__above_5,axiom,
( X1 = X2
| X1 = X2
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_5) ).
cnf(cls_in__below_5,axiom,
( X1 = X2
| X2 = X1
| X2 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_5) ).
cnf(cls_UN__insert_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__insert_0) ).
cnf(cls_UN__extend__simps_I1_J_0,axiom,
c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I1_J_0) ).
cnf(cls_insert__subset_2,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_insert__Diff1_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).
cnf(cls_subset__insert__iff_2,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
cnf(cls_subset__insert_1,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_1) ).
cnf(cls_Int__insert__left_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).
cnf(cls_Int__insert__right_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).
cnf(cls_subset__insertI2_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
cnf(cls_Inf__singleton_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__singleton_0) ).
cnf(cls_Sup__singleton_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__singleton_0) ).
cnf(cls_Inf__insert_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Complete__Lattice_OInf__class_OInf(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__insert_0) ).
cnf(cls_Sup__insert_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__insert_0) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_in__mktop_4,axiom,
( X1 = X2
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_4) ).
cnf(cls_in__mkbot_4,axiom,
( X1 = X2
| X2 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_4) ).
cnf(cls_insert__image_0,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
cnf(cls_empty__not__insert_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
cnf(cls_image__constant_0,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant_0) ).
cnf(cls_singleton__conv_0,axiom,
c_Collect(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv_0) ).
cnf(cls_image__constant__conv_1,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(cls_Int__Collect_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_Collect(X4,X1),tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Collect_0) ).
cnf(cls_Int__Collect_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,c_Collect(X1,X3),tc_fun(X3,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Collect_1) ).
cnf(cls_Int__Collect_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_Collect(X4,X1),tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Collect_2) ).
cnf(cls_Collect__mem__eq_0,axiom,
c_Collect(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__mem__eq_0) ).
cnf(cls_CollectD_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectD_0) ).
cnf(cls_CollectI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectI_0) ).
cnf(cls_empty__Collect__eq_0,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Collect(X2,X1)
| ~ hBOOL(hAPP(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Collect__eq_0) ).
cnf(cls_Collect__empty__eq_0,axiom,
( c_Collect(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__empty__eq_0) ).
cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom,
( c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_COMBC(X3,X4,X4,tc_bool),c_COMBC(X5,X4,X4,tc_bool),X6,X7,X8,X9,X4)
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X1,X3,X5,X7,X6,X9,X8,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_Odual__complete__lattice_0) ).
cnf(cls_complete__lattice_OInf__lower_0,axiom,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__lower_0) ).
cnf(cls_complete__lattice_OSup__upper_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__upper_0) ).
cnf(cls_complete__lattice_OInf__UNIV_0,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X3,X9,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__UNIV_0) ).
cnf(cls_complete__lattice_OSup__UNIV_0,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__UNIV_0) ).
cnf(cls_complete__lattice_OInf__empty_0,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__empty_0) ).
cnf(cls_complete__lattice_OSup__empty_0,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__empty_0) ).
cnf(cls_2_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X2__1(X3,X6,X1,X4,X2,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X2__1(X3,X6,X1,X4,X2,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_3) ).
cnf(cls_2_2,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X2__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X2__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_2) ).
cnf(cls_1_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X1__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X1__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_1_1) ).
cnf(cls_pairwise__neutrality_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__Xpairwise__neutrality__1(X3,X6,X1,X4,X2,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__Xpairwise__neutrality__1(X3,X6,X1,X4,X2,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pairwise__neutrality_3) ).
cnf(cls_pairwise__neutrality_2,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__Xpairwise__neutrality__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__Xpairwise__neutrality__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pairwise__neutrality_2) ).
cnf(cls_2_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X2__1(X3,X6,X1,X4,X2,X5))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X2__1(X3,X6,X1,X4,X2,X5))))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_1) ).
cnf(cls_2_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X2__1(X6,X3,X4,X1,X5,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X2__1(X6,X3,X4,X1,X5,X2))))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_0) ).
cnf(cls_1_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X1__1(X6,X3,X4,X1,X5,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X1__1(X6,X3,X4,X1,X5,X2))))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_1_0) ).
cnf(cls_pairwise__neutrality_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__Xpairwise__neutrality__1(X3,X6,X1,X4,X2,X5))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__Xpairwise__neutrality__1(X3,X6,X1,X4,X2,X5))))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pairwise__neutrality_1) ).
cnf(cls_pairwise__neutrality_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__Xpairwise__neutrality__1(X6,X3,X4,X1,X5,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__Xpairwise__neutrality__1(X6,X3,X4,X1,X5,X2))))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pairwise__neutrality_0) ).
cnf(cls_restrictI_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_OPi(X4,X5,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(X4,X5,X3,X1,X2))),hAPP(X5,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(X4,X5,X3,X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_restrictI_1) ).
cnf(cls_4_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__local__X4__1(X3,X5,X1,X2,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X4__1(X3,X5,X1,X2,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_4_3) ).
cnf(cls_4_2,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X4__1(X5,X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__local__X4__1(X5,X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_4_2) ).
cnf(cls_Pi__I_H_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X4,X5,X3,X1,X2))),hAPP(X5,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X4,X5,X3,X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pi__I_H_1) ).
cnf(cls_Pi__I_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X4,X5,X3,X1,X2))),hAPP(X5,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X4,X5,X3,X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pi__I_1) ).
cnf(cls_restrict__in__funcset_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(X4,X5,X3,X1,X2))),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_restrict__in__funcset_1) ).
cnf(cls_4_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__local__X4__1(X3,X5,X1,X2,X4))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X4__1(X3,X5,X1,X2,X4))))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_4_1) ).
cnf(cls_4_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X4__1(X5,X3,X4,X1,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__local__X4__1(X5,X3,X4,X1,X2))))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_4_0) ).
cnf(cls_funcsetI_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X4,X5,X3,X1,X2))),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcsetI_1) ).
cnf(cls_IIA__def_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IIA__def_3) ).
cnf(cls_IIA__def_2,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X5,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X5,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IIA__def_2) ).
cnf(cls_3_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__local__X3__1(X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X3__1(X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_3_3) ).
cnf(cls_3_2,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X3__1(X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__local__X3__1(X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_3_2) ).
cnf(cls_IIA__def_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X4,X5))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IIA__def_1) ).
cnf(cls_IIA__def_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X5,X4))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X5,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IIA__def_0) ).
cnf(cls_3_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__local__X3__1(X3,X4,X1,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X3__1(X3,X4,X1,X2))))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_3_1) ).
cnf(cls_3_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X3__1(X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__local__X3__1(X4,X3,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_3_0) ).
cnf(cls_in__below_14,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X5,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_14) ).
cnf(cls_in__above_14,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_14) ).
cnf(cls_inv__into__funcset_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X3,X4,X2,X1),c_Set_Oimage(X4,X3,X2,X1),X1,X2)),c_FuncSet_OPi(c_Set_Oimage(X4,X3,X2,X1),c_COMBK(X3,tc_fun(X2,tc_bool),X1),X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__funcset_0) ).
cnf(cls_restrict__in__funcset_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(X4,X5,X3,X1,X2)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_restrict__in__funcset_0) ).
cnf(cls_restrictI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_OPi(X4,X5,X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XrestrictI__1__1(X4,X5,X3,X1,X2)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_restrictI_0) ).
cnf(cls_funcsetI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X4,X5,X3,X1,X2)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcsetI_0) ).
cnf(cls_extensionalityI_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(X3),c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(X4,X1,X2,X3,X5)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X5)),X2),c_FuncSet_Oextensional(X4,X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X5)),X1),c_FuncSet_Oextensional(X4,X3,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_extensionalityI_0) ).
cnf(cls_bex__UN_3,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X4,X5,X1)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X5,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(X4,X6))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X6),hAPP(X3,X7)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X7),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__UN_3) ).
cnf(cls_Pi__I_H_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X4,X5,X3,X1,X2)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pi__I_H_0) ).
cnf(cls_Pi__I_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XPi__I__1__1(X4,X5,X3,X1,X2)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pi__I_0) ).
cnf(cls_in__below_10,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| X1 = X4
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_10) ).
cnf(cls_in__above_8,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5)))
| X1 = X5
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_8) ).
cnf(cls_in__below_8,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| X2 = X4
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X5,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_8) ).
cnf(cls_in__above_10,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5)))
| X2 = X5
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_10) ).
cnf(cls_in__above_13,axiom,
( X1 = X4
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_13) ).
cnf(cls_in__below_13,axiom,
( X4 = X2
| X4 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_13) ).
cnf(cls_empty__fold__graphE_0,axiom,
( X1 = X2
| ~ c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__fold__graphE_0) ).
cnf(cls_extensionalityI_1,axiom,
( X1 = X3
| hAPP(X1,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(X2,X1,X3,X4,X5)) != hAPP(X3,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(X2,X1,X3,X4,X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,X5)),X3),c_FuncSet_Oextensional(X2,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,X5)),X1),c_FuncSet_Oextensional(X2,X4,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_extensionalityI_1) ).
cnf(cls_unanimity__def_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1(X1,X2,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unanimity__def_0) ).
cnf(cls_CHAINED_0_01,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_notin__Lin__iff_1,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_notin__Lin__iff_1) ).
cnf(cls_Lin__irrefl_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Lin__irrefl_0) ).
cnf(cls_ord_OatLeastLessThan__iff_1,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastLessThan(X5,X1,X6,X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OatLeastLessThan__iff_1) ).
cnf(cls_ord_OatLeastLessThan__iff_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastLessThan(X1,X5,X2,X6,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OatLeastLessThan__iff_0) ).
cnf(cls_inj__transfer_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X4,X3,X5),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X4,X3,X5))))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__transfer_1) ).
cnf(cls_fun__upd__twist_0,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__twist_0) ).
cnf(cls_in__above_2,axiom,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_2) ).
cnf(cls_in__below_2,axiom,
( X1 = X2
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_2) ).
cnf(cls_in__below_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X1 = X4
| X2 = X4
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_3) ).
cnf(cls_in__above_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X2 = X4
| X1 = X4
| X5 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X5,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_3) ).
cnf(cls_in__above_1,axiom,
( X4 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_1) ).
cnf(cls_in__below_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_1) ).
cnf(cls_in__below_4,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| X1 = X4
| X2 = X4
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_4) ).
cnf(cls_in__above_4,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5)))
| X2 = X5
| X1 = X5
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_4) ).
cnf(cls_in__below_9,axiom,
( X1 = X4
| X4 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_9) ).
cnf(cls_in__above_9,axiom,
( X4 = X2
| X1 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_9) ).
cnf(cls_converseD_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),c_Relation_Oconverse(X5,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converseD_0) ).
cnf(cls_converse__iff_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Relation_Oconverse(X5,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__iff_1) ).
cnf(cls_converseI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Relation_Oconverse(X5,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converseI_0) ).
cnf(cls_fold__graph_OemptyI_0,axiom,
c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_OemptyI_0) ).
cnf(cls_inv__into__into_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,X1,X4),X5)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),c_Set_Oimage(X3,X2,X1,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__into_0) ).
cnf(cls_in__mkbot_2,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_2) ).
cnf(cls_in__mktop_2,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_2) ).
cnf(cls_in__mktop_5,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X2
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_5) ).
cnf(cls_in__mkbot_5,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X2
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_5) ).
cnf(cls_in__mktop_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X2 = X4
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_3) ).
cnf(cls_in__mkbot_3,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X4
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_3) ).
cnf(cls_quotient__eqI_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X4,X5,X3,X3)),X6))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X2),c_Equiv__Relations_Oquotient(X7,X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X1),c_Equiv__Relations_Oquotient(X7,X6,X3)))
| ~ c_Equiv__Relations_Oequiv(X7,X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_quotient__eqI_0) ).
cnf(cls_notin__Lin__iff_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_notin__Lin__iff_0) ).
cnf(cls_bex__UN_4,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X1,X4,X5)))
| ~ hBOOL(hAPP(X1,X6))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),hAPP(X3,X7)))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X7),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__UN_4) ).
cnf(cls_SigmaD2_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X4,X2,X5,X1)),c_Product__Type_OSigma(X6,X3,X5,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SigmaD2_0) ).
cnf(cls_SigmaD1_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X4)),c_Pair(X2,X5,X1,X4)),c_Product__Type_OSigma(X3,X6,X1,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SigmaD1_0) ).
cnf(cls_ord_OatLeastLessThan__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastLessThan(X3,X4,X5,X6,X1)))
| ~ hBOOL(hAPP(hAPP(X4,X2),X6))
| ~ hBOOL(hAPP(hAPP(X3,X5),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OatLeastLessThan__iff_2) ).
cnf(cls_inv__into__injective_0,axiom,
( X5 = X6
| hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X6),c_Set_Oimage(X2,X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),c_Set_Oimage(X2,X1,X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__injective_0) ).
cnf(cls_Image__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X6,X2,X5,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__iff_2) ).
cnf(cls_rev__ImageI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X6,X2,X5,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__ImageI_0) ).
cnf(cls_fun__upd__upd_0,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__upd_0) ).
cnf(cls_in__below_0,axiom,
( X3 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X2),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__below_0) ).
cnf(cls_in__above_0,axiom,
( X3 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X2),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__above_0) ).
cnf(cls_range__ex1__eq_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)))
| hAPP(X1,X4) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X4),X1,X4,X3,X2))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_2) ).
cnf(cls_inj__on__fun__updI_0,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Oimage(X1,X6,X4,X5)))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__fun__updI_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_bij__betw__restrict__eq_0,axiom,
( c_Fun_Obij__betw(X1,X2,X3,X4,X5)
| ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X4,X5),X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__betw__restrict__eq_0) ).
cnf(cls_inj__on__Un_3,axiom,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_3) ).
cnf(cls_range__ex1__eq_3,axiom,
( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X2)),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)))
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4) != X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_3) ).
cnf(cls_bij__betw__imp__funcset_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ c_Fun_Obij__betw(X3,X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__betw__imp__funcset_0) ).
cnf(cls_equiv__class__eq__iff_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),X5))
| ~ c_Equiv__Relations_Oequiv(X3,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_1) ).
cnf(cls_equiv__class__eq__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X4,X2,X1,X1)),X5))
| ~ c_Equiv__Relations_Oequiv(X3,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_2) ).
cnf(cls_inj__transfer_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X4,X5,X3)),c_Set_Oimage(X4,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3)))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__transfer_0) ).
cnf(cls_pred__subset__eq_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pred__subset__eq_0) ).
cnf(cls_mem__Sigma__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Product__Type_OSigma(X5,X6,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__Sigma__iff_2) ).
cnf(cls_SigmaI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Product__Type_OSigma(X5,X6,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SigmaI_0) ).
cnf(cls_bij__betw__restrict__eq_1,axiom,
( c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X5,X3,X4)
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__betw__restrict__eq_1) ).
cnf(cls_bij__betw__inv__into_0,axiom,
( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X1,X4,X3)
| ~ c_Fun_Obij__betw(X2,X1,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__betw__inv__into_0) ).
cnf(cls_funcset__image_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X1),c_FuncSet_OPi(X2,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcset__image_0) ).
cnf(cls_in__mktop_1,axiom,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_1) ).
cnf(cls_in__mkbot_1,axiom,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_1) ).
cnf(cls_in__mktop_0,axiom,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_0) ).
cnf(cls_in__mkbot_0,axiom,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mkbot_0) ).
cnf(cls_range__composition_0,axiom,
c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__composition_0) ).
cnf(cls_UN__extend__simps_I10_J_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBB(X2,X3,X4,tc_fun(X5,tc_bool),X6),X6,tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(X3,X1,X6,X4),X2,X4,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I10_J_0) ).
cnf(cls_UN__simps_I10_J_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(X1,X2,X3,X4),X5,X4,tc_fun(X6,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBB(X5,X1,X4,tc_fun(X6,tc_bool),X3),X3,tc_fun(X6,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__simps_I10_J_0) ).
cnf(cls_image__image_0,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__image_0) ).
cnf(cls_ball__conj__distrib_2,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_2) ).
cnf(cls_ball__conj__distrib_3,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_3) ).
cnf(cls_funcset__mem_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X6,c_COMBK(X4,tc_fun(X1,tc_bool),X5),X5,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcset__mem_0) ).
cnf(cls_const__Lin__Prof_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_const__Lin__Prof_0) ).
cnf(cls_SUP2__I_0,axiom,
( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))
| ~ hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X8),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP2__I_0) ).
cnf(cls_SUP2__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))
| ~ hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X8),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP2__iff_2) ).
cnf(cls_range__ex1__eq_0,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X2,X3,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)))
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_0) ).
cnf(cls_fun__upd__image_1,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| hBOOL(hAPP(hAPP(c_in(X4),X2),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_1) ).
cnf(cls_image__diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).
cnf(cls_Image__Int__subset_0,axiom,
c_lessequals(c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Int__subset_0) ).
cnf(cls_image__Int__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).
cnf(cls_range__ex1__eq_1,axiom,
( X3 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X2,X3),X2,X1,X4)
| ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1)))
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_1) ).
cnf(cls_quotientE_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_List_Osko__Equiv__Relations__XquotientE__1__1(X2,X3,X4,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),c_Equiv__Relations_Oquotient(X2,X4,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_quotientE_1) ).
cnf(cls_f__inv__into__f_0,axiom,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),c_Set_Oimage(X1,X2,X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_f__inv__into__f_0) ).
cnf(cls_bex__Un_4,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(X4,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__Un_4) ).
cnf(cls_bex__Un_6,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(X4,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__Un_6) ).
cnf(cls_restrict__extensional_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_restrict__extensional_0) ).
cnf(cls_Pi__mem_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),hAPP(X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X6,X4,X5,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pi__mem_0) ).
cnf(cls_PiE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X3,X6,X1,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PiE_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBB__def_0) ).
cnf(cls_inj__image__mem__iff_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
| ~ c_Fun_Oinj__on(X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).
cnf(cls_pred__subset__eq_1,axiom,
( c_lessequals(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pred__subset__eq_1) ).
cnf(cls_fun__upd__other_0,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__other_0) ).
cnf(cls_fun__upd__apply_1,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_1) ).
cnf(cls_fun__upd__same_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__same_0) ).
cnf(cls_fun__upd__apply_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).
cnf(cls_inj__on__Un_2,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_2) ).
cnf(cls_ball__conj__distrib_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_0) ).
cnf(cls_ball__conj__distrib_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_1) ).
cnf(cls_complete__Lin_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2)))
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__Lin_1) ).
cnf(cls_inj__image__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_0) ).
cnf(cls_converse__in__Lin_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__in__Lin_0) ).
cnf(cls_bij__betw__def_1,axiom,
( c_Set_Oimage(X1,X2,X3,X4) = X5
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__betw__def_1) ).
cnf(cls_bij__betw__def_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__betw__def_0) ).
cnf(cls_inj__on__image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__set__diff_0) ).
cnf(cls_inj__on__image__Int_0,axiom,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__Int_0) ).
cnf(cls_bij__betw__def_2,axiom,
( c_Fun_Obij__betw(X1,X2,c_Set_Oimage(X1,X2,X3,X4),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bij__betw__def_2) ).
cnf(cls_Un__Int__crazy_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).
cnf(cls_below__Lin_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_below__Lin_0) ).
cnf(cls_above__Lin_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_above__Lin_0) ).
cnf(cls_converse__in__Lin_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__in__Lin_1) ).
cnf(cls_vimage__subsetI_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__subsetI_0) ).
cnf(cls_funcset__id_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X1)),c_COMBI(X1)),c_FuncSet_OPi(X2,c_COMBK(X2,tc_fun(X1,tc_bool),X1),X1,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcset__id_0) ).
cnf(cls_image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__set__diff_0) ).
cnf(cls_image__Int_0,axiom,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Int_0) ).
cnf(cls_vimageD_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageD_0) ).
cnf(cls_vimageE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageE_0) ).
cnf(cls_fun__upd__idem__iff_0,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_0) ).
cnf(cls_inj__image__mem__iff_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_1) ).
cnf(cls_image__inv__f__f_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__inv__f__f_0) ).
cnf(cls_inv__image__comp_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__image__comp_0) ).
cnf(cls_ord_OgreaterThanLessThan__iff_1,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OgreaterThanLessThan(X1,X5,X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OgreaterThanLessThan__iff_1) ).
cnf(cls_ord_OatLeastAtMost__iff_1,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X5,X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OatLeastAtMost__iff_1) ).
cnf(cls_ord_OgreaterThanLessThan__iff_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThanLessThan(X1,X2,X5,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OgreaterThanLessThan__iff_0) ).
cnf(cls_ord_OatLeastAtMost__iff_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastAtMost(X1,X2,X5,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OatLeastAtMost__iff_0) ).
cnf(cls_quotient__disj_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X2),c_Equiv__Relations_Oquotient(X4,X5,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X1),c_Equiv__Relations_Oquotient(X4,X5,X3)))
| ~ c_Equiv__Relations_Oequiv(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_quotient__disj_0) ).
cnf(cls_pred__equals__eq_0,axiom,
( X2 = X3
| hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) != hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pred__equals__eq_0) ).
cnf(cls_inv__into__image__cancel_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
| ~ c_lessequals(X5,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__image__cancel_0) ).
cnf(cls_vimage__code_0,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__code_0) ).
cnf(cls_mktop__Lin_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mktop__Lin_0) ).
cnf(cls_mkbot__Lin_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mkbot__Lin_0) ).
cnf(cls_inj__image__subset__iff_1,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).
cnf(cls_inj__on__inv__into_0,axiom,
( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
| ~ c_lessequals(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__inv__into_0) ).
cnf(cls_UN__I_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__I_0) ).
cnf(cls_UN__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__iff_2) ).
cnf(cls_UN__Un_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,X3,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X4,X3,tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__Un_0) ).
cnf(cls_image__vimage__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__subset_0) ).
cnf(cls_vimage__Diff_0,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Diff_0) ).
cnf(cls_vimage__Un_0,axiom,
c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Un_0) ).
cnf(cls_vimage__Int_0,axiom,
c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Int_0) ).
cnf(cls_Image__Un_0,axiom,
c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Un_0) ).
cnf(cls_image__Un_0,axiom,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_0) ).
cnf(cls_Times__eq__cancel2_0,axiom,
( X1 = X5
| c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3) != c_Product__Type_OSigma(X5,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Times__eq__cancel2_0) ).
cnf(cls_vimageI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageI_0) ).
cnf(cls_vimageI2_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageI2_0) ).
cnf(cls_vimage__eq_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__eq_1) ).
cnf(cls_image__vimage__eq_0,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__eq_0) ).
cnf(cls_inj__on__restrict__eq_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__restrict__eq_0) ).
cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).
cnf(cls_SUP1__I_0,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP1__I_0) ).
cnf(cls_SUP1__iff_2,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP1__iff_2) ).
cnf(cls_rangeI_0,axiom,
hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).
cnf(cls_imageI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
cnf(cls_image__eqI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__eqI_0) ).
cnf(cls_image__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__iff_2) ).
cnf(cls_rev__image__eqI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
cnf(cls_ord_OgreaterThanLessThan__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThanLessThan(X3,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X5))
| ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OgreaterThanLessThan__iff_2) ).
cnf(cls_ord_OatLeastAtMost__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X5))
| ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OatLeastAtMost__iff_2) ).
cnf(cls_image__subset__iff_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X6))
| ~ c_lessequals(c_Set_Oimage(X2,X6,X5,X1),X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
cnf(cls_inj__image__eq__iff_0,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).
cnf(cls_UN__subset__iff_0,axiom,
( c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X6))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X6,X1,X5,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__subset__iff_0) ).
cnf(cls_bex__Un_5,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))
| ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__Un_5) ).
cnf(cls_bex__Un_7,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))
| ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__Un_7) ).
cnf(cls_fun__upd__idem_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem_0) ).
cnf(cls_fun__upd__triv_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__triv_0) ).
cnf(cls_fun__upd__idem__iff_1,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_1) ).
cnf(cls_inj__vimage__image__eq_0,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__vimage__image__eq_0) ).
cnf(cls_vimage__mono_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__mono_0) ).
cnf(cls_image__mono_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__mono_0) ).
cnf(cls_subset__image__iff_2,axiom,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
cnf(cls_vimage__code_1,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__code_1) ).
cnf(cls_inj__on__restrict__eq_1,axiom,
( c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__restrict__eq_1) ).
cnf(cls_UnionE_1,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X2,X3,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnionE_1) ).
cnf(cls_inv__f__f_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__f__f_0) ).
cnf(cls_inv__f__eq_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__f__eq_0) ).
cnf(cls_inv__into__f__f_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X1))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__f__f_0) ).
cnf(cls_inv__into__f__eq_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X3,X4,X1,X5),hAPP(X4,X2)) = X2
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_Fun_Oinj__on(X4,X3,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__f__eq_0) ).
cnf(cls_UN__absorb_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__absorb_0) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
cnf(cls_iso__tuple__update__accessor__cong__assist__def_0,axiom,
( hAPP(hAPP(X1,c_COMBK(hAPP(X2,hAPP(X3,X4)),X5,X5)),X4) = hAPP(hAPP(X1,X2),X4)
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X1,X3,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_iso__tuple__update__accessor__cong__assist__def_0) ).
cnf(cls_image__restrict__eq_0,axiom,
c_Set_Oimage(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4) = c_Set_Oimage(X1,X2,X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__restrict__eq_0) ).
cnf(cls_InterI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,tc_fun(X1,tc_bool))))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X2,X3,X1)),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_InterI_0) ).
cnf(cls_InterD_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OInf__class_OInf(X4,tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_InterD_0) ).
cnf(cls_extensional__arb_0,axiom,
( hAPP(X1,X2) = c_HOL_Oundefined(X3)
| hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,X3)),X1),c_FuncSet_Oextensional(X5,X4,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_extensional__arb_0) ).
cnf(cls_bexCI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
| ~ hBOOL(hAPP(X3,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bexCI_0) ).
cnf(cls_distrib__inf__le_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__inf__le_0) ).
cnf(cls_distrib__sup__le_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__sup__le_0) ).
cnf(cls_Union__disjoint_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X2,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(X3,X1,X2)),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Union__disjoint_1) ).
cnf(cls_inj__on__Un_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_0) ).
cnf(cls_inj__on__Un_1,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_1) ).
cnf(cls_UnionI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnionI_0) ).
cnf(cls_UnE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
cnf(cls_Union__disjoint_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X2,tc_bool)),X4),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Union__disjoint_0) ).
cnf(cls_DiffE_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_1) ).
cnf(cls_UN__upper_0,axiom,
( c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__upper_0) ).
cnf(cls_Un__Int__assoc__eq_0,axiom,
( c_lessequals(X4,X1,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).
cnf(cls_inj__on__diff_0,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__diff_0) ).
cnf(cls_Pair__eq_0,axiom,
( X1 = X5
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_0) ).
cnf(cls_Pair__eq_1,axiom,
( X2 = X6
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_1) ).
cnf(cls_inj__onD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__onD_0) ).
cnf(cls_inj__on__def_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__def_0) ).
cnf(cls_inj__on__iff_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__iff_0) ).
cnf(cls_inj__on__contraD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__contraD_0) ).
cnf(cls_subset__inj__on_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).
cnf(cls_DiffE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_0) ).
cnf(cls_IntE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_0) ).
cnf(cls_IntE_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_1) ).
cnf(cls_InterI_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X2,X3,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_InterI_1) ).
cnf(cls_rev__bexI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__bexI_0) ).
cnf(cls_bexE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bexE_0) ).
cnf(cls_bexI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
| ~ hBOOL(hAPP(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bexI_0) ).
cnf(cls_bexCI_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
| ~ hBOOL(hAPP(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bexCI_2) ).
cnf(cls_le__SUPI_0,axiom,
( c_lessequals(hAPP(X2,X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__SUPI_0) ).
cnf(cls_IntI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntI_0) ).
cnf(cls_Int__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__iff_2) ).
cnf(cls_ballE_0,axiom,
( hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ballE_0) ).
cnf(cls_UN__extend__simps_I2_J_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I2_J_0) ).
cnf(cls_INT__extend__simps_I4_J_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_INT__extend__simps_I4_J_0) ).
cnf(cls_UN__extend__simps_I3_J_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I3_J_0) ).
cnf(cls_UnionE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X2,X3,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnionE_0) ).
cnf(cls_complete__Lin_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__Lin_0) ).
cnf(cls_restrict__apply_0,axiom,
( hAPP(c_FuncSet_Orestrict(X1,X2,X3,X4),X5) = hAPP(X1,X5)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_restrict__apply_0) ).
cnf(cls_DiffI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffI_0) ).
cnf(cls_Diff__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__iff_2) ).
cnf(cls_UNION__empty__conv_I2_J_0,axiom,
( hAPP(X2,X5) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNION__empty__conv_I2_J_0) ).
cnf(cls_UNION__empty__conv_I1_J_0,axiom,
( hAPP(X3,X5) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNION__empty__conv_I1_J_0) ).
cnf(cls_bexCI_1,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bexCI_1) ).
cnf(cls_Diff__mono_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__mono_0) ).
cnf(cls_Un__mono_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
cnf(cls_Int__mono_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__mono_0) ).
cnf(cls_restrict__apply_1,axiom,
( hAPP(c_FuncSet_Orestrict(X1,X2,X3,X4),X5) = c_HOL_Oundefined(X4)
| hBOOL(hAPP(hAPP(c_in(X3),X5),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_restrict__apply_1) ).
cnf(cls_PowD_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X1),c_Set_OPow(X2,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PowD_0) ).
cnf(cls_Diff__Int2_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int2_0) ).
cnf(cls_Un__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff_0) ).
cnf(cls_Un__Int__distrib2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).
cnf(cls_Diff__Int__distrib2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).
cnf(cls_Int__Un__distrib2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).
cnf(cls_Diff__Un_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Un_0) ).
cnf(cls_Diff__Int_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int_0) ).
cnf(cls_Un__Int__distrib_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).
cnf(cls_Diff__Int__distrib_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).
cnf(cls_Int__Un__distrib_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).
cnf(cls_Inter__lower_0,axiom,
( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X2,tc_bool)),X3),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inter__lower_0) ).
cnf(cls_Union__upper_0,axiom,
( c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Union__upper_0) ).
cnf(cls_CHAINED_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_linear__alt_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linear__alt_0) ).
cnf(cls_update__accessor__congruence__foldE_0,axiom,
( hAPP(hAPP(X5,X1),X3) = hAPP(hAPP(X5,X4),X3)
| hAPP(X1,hAPP(X2,X3)) != hAPP(X4,hAPP(X2,X3))
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X5,X2,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_update__accessor__congruence__foldE_0) ).
cnf(cls_Diff__subset__conv_1,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_1) ).
cnf(cls_Diff__subset__conv_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_0) ).
cnf(cls_sup1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).
cnf(cls_ord_OlessThan__iff_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OlessThan__iff_0) ).
cnf(cls_ord_OatMost__iff_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OatMost__iff_0) ).
cnf(cls_ord_OgreaterThan__iff_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OgreaterThan__iff_0) ).
cnf(cls_Un__Int__assoc__eq_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X1,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).
cnf(cls_ballE_1,axiom,
( hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ballE_1) ).
cnf(cls_UnCI_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_1) ).
cnf(cls_UnCI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_0) ).
cnf(cls_inf1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1E_0) ).
cnf(cls_inf1E_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1E_1) ).
cnf(cls_UN__empty2_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool),X3),X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__empty2_0) ).
cnf(cls_vimage__const_0,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_0) ).
cnf(cls_Pow__bottom_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Set_OPow(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pow__bottom_0) ).
cnf(cls_injD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_injD_0) ).
cnf(cls_update__accessor__noopE_0,axiom,
( hAPP(hAPP(X4,X1),X3) = X3
| hAPP(X1,hAPP(X2,X3)) != hAPP(X2,X3)
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X4,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_update__accessor__noopE_0) ).
cnf(cls_Union__disjoint_2,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(X1,X2,X3),X1,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Union__disjoint_2) ).
cnf(cls_UN__constant_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_COMBK(X2,tc_fun(X3,tc_bool),X1),X1,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__constant_0) ).
cnf(cls_disjoint__iff__not__equal_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).
cnf(cls_vimage__const_1,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_1) ).
cnf(cls_double__diff_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__diff_0) ).
cnf(cls_Un__least_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__least_0) ).
cnf(cls_Un__subset__iff_2,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
cnf(cls_Int__subset__iff_2,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_2) ).
cnf(cls_Int__greatest_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__greatest_0) ).
cnf(cls_PowI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X3,X1)))
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PowI_0) ).
cnf(cls_Int__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Diff_0) ).
cnf(cls_Un__assoc_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
cnf(cls_Int__assoc_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__assoc_0) ).
cnf(cls_Un__left__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
cnf(cls_Int__left__commute_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).
cnf(cls_rev__bexI_1,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__bexI_1) ).
cnf(cls_bexE_1,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bexE_1) ).
cnf(cls_bexI_1,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bexI_1) ).
cnf(cls_bexCI_3,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bexCI_3) ).
cnf(cls_empty__is__image_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
cnf(cls_image__is__empty_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
cnf(cls_UN__constant_1,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,tc_fun(X3,tc_bool)) = X2
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__constant_1) ).
cnf(cls_ord_OlessThan__iff_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OlessThan(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OlessThan__iff_1) ).
cnf(cls_ord_OgreaterThan__iff_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThan(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OgreaterThan__iff_1) ).
cnf(cls_ord_OatMost__iff_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatMost(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OatMost__iff_1) ).
cnf(cls_Un__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
cnf(cls_Un__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
cnf(cls_Int__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).
cnf(cls_Int__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).
cnf(cls_sup__inf__distrib2_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).
cnf(cls_inf__sup__distrib2_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).
cnf(cls_sup__inf__distrib1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).
cnf(cls_inf__sup__distrib1_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).
cnf(cls_image__constant__conv_0,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_0) ).
cnf(cls_inf1I_0,axiom,
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1I_0) ).
cnf(cls_set__mp_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).
cnf(cls_subsetD_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subsetD_0) ).
cnf(cls_set__rev__mp_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
cnf(cls_subset__iff_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_SUP__const_0,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBK(X3,X1,X4),X4,X1) = X3
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP__const_0) ).
cnf(cls_Un__Diff__Int_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__Int_0) ).
cnf(cls_sup1CI_1,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).
cnf(cls_sup1CI_0,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).
cnf(cls_bex__empty_0,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
cnf(cls_ball__empty_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__empty_0) ).
cnf(cls_Diff__partition_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__partition_0) ).
cnf(cls_Pow__top_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pow__top_0) ).
cnf(cls_le__sup__iff_2,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
cnf(cls_sup__least_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__least_0) ).
cnf(cls_le__supI_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI_0) ).
cnf(cls_inf__greatest_0,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__greatest_0) ).
cnf(cls_le__inf__iff_2,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_2) ).
cnf(cls_le__infI_0,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI_0) ).
cnf(cls_emptyE_0,axiom,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
cnf(cls_empty__iff_0,axiom,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__iff_0) ).
cnf(cls_ex__in__conv_0,axiom,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
cnf(cls_sup__assoc_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
cnf(cls_inf__sup__aci_I6_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
cnf(cls_inf__sup__aci_I2_J_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).
cnf(cls_inf__assoc_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__assoc_0) ).
cnf(cls_sup__left__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
cnf(cls_inf__sup__aci_I7_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
cnf(cls_inf__sup__aci_I3_J_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).
cnf(cls_inf__left__commute_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__left__commute_0) ).
cnf(cls_vimage__UNIV_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__UNIV_0) ).
cnf(cls_vimage__empty_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__empty_0) ).
cnf(cls_Image__empty_0,axiom,
c_Relation_OImage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__empty_0) ).
cnf(cls_image__empty_0,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
cnf(cls_empty__is__image_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
cnf(cls_subset__trans_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_le__eqI_1,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_1) ).
cnf(cls_le__eqI_0,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_0) ).
cnf(cls_le__supE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).
cnf(cls_le__sup__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
cnf(cls_le__supE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).
cnf(cls_le__sup__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
cnf(cls_le__inf__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_0) ).
cnf(cls_le__infE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infE_0) ).
cnf(cls_le__inf__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_1) ).
cnf(cls_le__infE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infE_1) ).
cnf(cls_Diff__idemp_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).
cnf(cls_Un__Diff__cancel2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel2_0) ).
cnf(cls_Un__Diff__cancel_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).
cnf(cls_Un__left__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
cnf(cls_Int__left__absorb_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).
cnf(cls_inj__on__empty_0,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).
cnf(cls_Diff__disjoint_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__disjoint_0) ).
cnf(cls_Inf__lower_0,axiom,
( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X1),X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__lower_0) ).
cnf(cls_Sup__upper_0,axiom,
( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__upper_0) ).
cnf(cls_le__infI1_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI1_0) ).
cnf(cls_le__infI2_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI2_0) ).
cnf(cls_le__supI1_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
cnf(cls_le__supI2_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
cnf(cls_vimage__ident_0,axiom,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__ident_0) ).
cnf(cls_image__ident_0,axiom,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__ident_0) ).
cnf(cls_inj__on__id2_0,axiom,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__id2_0) ).
cnf(cls_equalityI_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
cnf(cls_set__eq__subset_2,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_Diff__triv_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__triv_0) ).
cnf(cls_le__funD_0,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(cls_order__trans_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_xt1_I6_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_subset__empty_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).
cnf(cls_Union__quotient_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(X1,X2,X3),tc_fun(X3,tc_bool)) = X1
| ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Union__quotient_0) ).
cnf(cls_Diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset_0) ).
cnf(cls_Int__lower1_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower1_0) ).
cnf(cls_Int__lower2_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
cnf(cls_sup__left__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
cnf(cls_inf__sup__aci_I8_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
cnf(cls_inf__sup__aci_I4_J_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).
cnf(cls_inf__left__idem_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).
cnf(cls_lfp__lowerbound_0,axiom,
( c_lessequals(c_Inductive_Ocomplete__lattice__class_Olfp(X2,X1),X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_lessequals(hAPP(X2,X3),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lfp__lowerbound_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_UNIV__I_0,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
cnf(cls_Un__empty_2,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_2) ).
cnf(cls_subset__Un__eq_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_Un__absorb2_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
cnf(cls_Un__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_Int__absorb2_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).
cnf(cls_Int__absorb1_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).
cnf(cls_rev__predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_Un__empty_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
cnf(cls_Un__empty_1,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
cnf(cls_order__eq__iff_2,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_order__antisym_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym_0) ).
cnf(cls_order__antisym__conv_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_subset__empty_1,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_1) ).
cnf(cls_eq__eqI_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_1) ).
cnf(cls_eq__eqI_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_sup__inf__absorb_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).
cnf(cls_inf__sup__absorb_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
cnf(cls_inf__sup__ord_I1_J_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).
cnf(cls_inf__le1_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__le1_0) ).
cnf(cls_inf__sup__ord_I2_J_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
cnf(cls_inf__le2_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__le2_0) ).
cnf(cls_sup__ge1_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
cnf(cls_sup__ge2_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
cnf(cls_inf__sup__ord_I4_J_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
cnf(cls_converse__converse_0,axiom,
c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__converse_0) ).
cnf(cls_empty__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Diff_0) ).
cnf(cls_Un__UNIV__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
cnf(cls_Int__empty__left_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).
cnf(cls_Diff__UNIV_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__UNIV_0) ).
cnf(cls_Un__UNIV__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
cnf(cls_Int__empty__right_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__right_0) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_Int__commute_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__commute_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_le__iff__sup_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
cnf(cls_le__iff__inf_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).
cnf(cls_sup__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
cnf(cls_le__iff__sup_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
cnf(cls_le__iff__inf_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_0) ).
cnf(cls_inf__absorb2_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top1I_0) ).
cnf(cls_Un__empty__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(cls_Int__UNIV__left_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__left_0) ).
cnf(cls_Diff__empty_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__empty_0) ).
cnf(cls_Un__empty__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(cls_Int__UNIV__right_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__right_0) ).
cnf(cls_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_lfp__const_0,axiom,
( c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBK(X2,X1,X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lfp__const_0) ).
cnf(cls_ATP__Linkup_OCOMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBK__def_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_sup__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__commute_0) ).
cnf(cls_inf__sup__aci_I5_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
cnf(cls_inf__sup__aci_I1_J_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
cnf(cls_inf__commute_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__commute_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_inf__eq__top__eq1_0,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq1_0) ).
cnf(cls_sup__eq__bot__eq1_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
cnf(cls_inf__eq__top__eq2_0,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq2_0) ).
cnf(cls_sup__eq__bot__eq2_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
cnf(cls_Diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).
cnf(cls_UNIV__not__empty_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_Int__absorb_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_Inf__UNIV_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__UNIV_0) ).
cnf(cls_Inf__empty_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__empty_0) ).
cnf(cls_Sup__UNIV_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__UNIV_0) ).
cnf(cls_Sup__empty_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__empty_0) ).
cnf(cls_sup__top__left_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
cnf(cls_inf__bot__left_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).
cnf(cls_sup__top__right_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
cnf(cls_inf__bot__right_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__right_0) ).
cnf(cls_sup__bot__left_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
cnf(cls_inf__top__left_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__left_0) ).
cnf(cls_sup__bot__right_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
cnf(cls_inf__top__right_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Otop__class_Otop(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__right_0) ).
cnf(cls_bot__least_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
cnf(cls_top__greatest_0,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__greatest_0) ).
cnf(cls_Union__Pow__eq_0,axiom,
c_Complete__Lattice_OSup__class_OSup(c_Set_OPow(X1,X2),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Union__Pow__eq_0) ).
cnf(cls_sup__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
cnf(cls_inf__idem_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__idem_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(clsarity_fun__Orderings_Obot,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
| ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).
cnf(clsarity_fun__Orderings_Otop,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
cnf(clsarity_fun__Lattices_Olattice,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
cnf(cls_ATP__Linkup_OCOMBI__def_0,axiom,
hAPP(c_COMBI(X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBI__def_0) ).
cnf(cls_COMBI__def_0,axiom,
hAPP(c_COMBI(X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
cnf(cls_u_0,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_u_0) ).
cnf(cls_assms_I3_J_0,axiom,
c_Arrow__Order__Mirabelle_OIIA(v_F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_0) ).
cnf(clsarity_nat__HOL_Oord,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(clsarity_nat__Orderings_Obot,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Odistrib__lattice) ).
cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(clsarity_nat__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(i_0_688,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
cls_insert__def_0 ).
cnf(i_0_689,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(i_0_690,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
cls_complete__lattice_OInf__binary_0 ).
cnf(i_0_691,plain,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[i_0_688,c_0_689]) ).
cnf(i_0_692,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
cls_complete__lattice_OSup__binary_0 ).
cnf(i_0_693,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3) ),
cls_complete__lattice_OInf__singleton_0 ).
cnf(i_0_694,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3) ),
cls_complete__lattice_OSup__singleton_0 ).
cnf(i_0_695,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
cls_complete__lattice_OInf__insert_0 ).
cnf(i_0_696,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
cls_complete__lattice_OSup__insert_0 ).
cnf(i_0_697,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),c_Relation_OImage(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),tc_fun(X1,tc_bool))))
| ~ c_Equiv__Relations_Oequiv(X6,X4,X1) ),
cls_equiv__class__nondisjoint_0 ).
cnf(i_0_698,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1)))
| ~ c_Fun_Oinj__on(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) ),
cls_inj__on__insert_1 ).
cnf(i_0_699,axiom,
( c_FuncSet_Ocompose(X1,X2,c_FuncSet_Ocompose(X1,X3,X4,X5,X6,X7),X5,X7,X8) = c_FuncSet_Ocompose(X1,c_FuncSet_Ocompose(X9,X2,X3,X6,X7,X8),X4,X5,X6,X8)
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X7,X8)),X2),c_FuncSet_OPi(X10,c_COMBK(X11,tc_fun(X8,tc_bool),X7),X7,X8)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X6,X7)),X3),c_FuncSet_OPi(X9,c_COMBK(X10,tc_fun(X7,tc_bool),X6),X6,X7)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X6)),X4),c_FuncSet_OPi(X1,c_COMBK(X9,tc_fun(X6,tc_bool),X5),X5,X6))) ),
cls_compose__assoc_0 ).
cnf(i_0_700,axiom,
c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6) = c_FuncSet_Orestrict(c_COMBB(X2,X3,X5,X6,X4),X1,X4,X6),
cls_compose__def_0 ).
cnf(i_0_701,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Ocompose(X3,X4,X5,X1,X6,X2)),c_FuncSet_OPi(X3,c_COMBK(X7,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X6,X2)),X4),c_FuncSet_OPi(X8,c_COMBK(X7,tc_fun(X2,tc_bool),X6),X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X6)),X5),c_FuncSet_OPi(X3,c_COMBK(X8,tc_fun(X6,tc_bool),X1),X1,X6))) ),
cls_funcset__compose_0 ).
cnf(i_0_702,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5)))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
cls_inj__on__insert_2 ).
cnf(i_0_703,axiom,
( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ hBOOL(hAPP(hAPP(c_in(X6),X4),X3))
| ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7) ),
cls_Diff1__fold__graph_0 ).
cnf(i_0_704,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Ocompose(X3,X4,X5,X1,X6,X2)),c_FuncSet_Oextensional(X3,X1,X2))),
cls_compose__extensional_0 ).
cnf(i_0_705,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_Relation_OImage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1)),c_Equiv__Relations_Oquotient(X4,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X4)) ),
cls_quotientI_0 ).
cnf(i_0_706,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X5))
| ~ c_lessequals(c_Relation_OImage(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1),tc_fun(X1,tc_bool))
| ~ c_Equiv__Relations_Oequiv(X5,X4,X1) ),
cls_subset__equiv__class_0 ).
cnf(i_0_707,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),c_Relation_OImage(X5,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X2))) ),
cls_Image__singleton__iff_0 ).
cnf(i_0_708,axiom,
( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X3),X6),X5,X7)
| hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
| ~ c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7) ),
cls_fold__graph_OinsertI_0 ).
cnf(i_0_709,axiom,
( hAPP(X1,X2) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X4,X5))) ),
cls_vimage__singleton__eq_0 ).
cnf(i_0_710,axiom,
( c_lessequals(c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
cls_equiv__class__subset_0 ).
cnf(i_0_711,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X6)) ),
cls_fun__upd__image_0 ).
cnf(i_0_712,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X4,X2,X5,X1)),X3)) ),
cls_Image__singleton__iff_1 ).
cnf(i_0_713,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(hAPP(X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X1,X4))),
cls_vimage__singleton__eq_1 ).
cnf(i_0_714,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X5)) ),
cls_equiv__class__eq__iff_3 ).
cnf(i_0_715,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
cls_eq__equiv__class__iff_0 ).
cnf(i_0_716,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_0 ).
cnf(i_0_717,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_1 ).
cnf(i_0_718,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_2 ).
cnf(i_0_719,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_3 ).
cnf(i_0_720,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_Equiv__Relations_Oequiv(X4,X3,X1) ),
cls_equiv__class__self_0 ).
cnf(i_0_721,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
cls_eq__equiv__class_0 ).
cnf(i_0_722,axiom,
( c_Fun_Obij__betw(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X1,X7,X4,X6)
| ~ c_Fun_Obij__betw(X2,X8,X7,X5,X6)
| ~ c_Fun_Obij__betw(X3,X1,X8,X4,X5) ),
cls_bij__betw__compose_0 ).
cnf(i_0_723,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X1,X4,X2,X2)),X3))
| c_Equiv__Relations_Oquotient(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2) != c_Equiv__Relations_Oquotient(c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2)
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X3,X2) ),
cls_eq__equiv__class__iff2_0 ).
cnf(i_0_724,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_diff__single__insert_0 ).
cnf(i_0_725,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_3 ).
cnf(i_0_726,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_4 ).
cnf(i_0_727,axiom,
( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
cls_eq__equiv__class__iff_1 ).
cnf(i_0_728,axiom,
c_FuncSet_Ocompose(c_Set_Oimage(X1,X2,X3,X4),X1,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3),X4,X3,X4) = c_FuncSet_Orestrict(c_COMBI(X4),c_Set_Oimage(X1,X2,X3,X4),X4,X4),
cls_compose__id__inv__into_0 ).
cnf(i_0_729,axiom,
( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
cls_equiv__class__eq__iff_0 ).
cnf(i_0_730,axiom,
( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
cls_equiv__class__eq_0 ).
cnf(i_0_731,axiom,
( c_Equiv__Relations_Oquotient(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2) = c_Equiv__Relations_Oquotient(c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X1,X4,X2,X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X3,X2) ),
cls_eq__equiv__class__iff2_1 ).
cnf(i_0_732,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert__iff_0 ).
cnf(i_0_733,axiom,
c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__insert_0 ).
cnf(i_0_734,axiom,
( c_Fun_Oinj__on(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X1,X4,X6)
| ~ c_Fun_Oinj__on(X2,X7,X5,X6)
| ~ c_Fun_Obij__betw(X3,X1,X7,X4,X5) ),
cls_inj__on__compose_0 ).
cnf(i_0_735,axiom,
( c_FuncSet_Ocompose(X1,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3),X2,X3,X4,X3) = c_FuncSet_Orestrict(c_COMBI(X3),X1,X3,X3)
| ~ c_Fun_Obij__betw(X2,X1,X5,X3,X4) ),
cls_compose__inv__into__id_0 ).
cnf(i_0_736,axiom,
( c_FuncSet_Ocompose(X1,c_FuncSet_Orestrict(c_COMBI(X2),X3,X2,X2),X4,X5,X2,X2) = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X2)),X4),c_FuncSet_Oextensional(X1,X5,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X2)),X4),c_FuncSet_OPi(X1,c_COMBK(X3,tc_fun(X2,tc_bool),X5),X5,X2))) ),
cls_Id__compose_0 ).
cnf(i_0_737,axiom,
( c_FuncSet_Ocompose(X1,X2,c_FuncSet_Orestrict(c_COMBI(X3),X1,X3,X3),X3,X3,X4) = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X2),c_FuncSet_Oextensional(X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X2),c_FuncSet_OPi(X1,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4))) ),
cls_compose__Id_0 ).
cnf(i_0_738,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
cls_singletonE_0 ).
cnf(i_0_739,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
cls_insertE_0 ).
cnf(i_0_740,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
cls_Diff__insert2_0 ).
cnf(i_0_741,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0 ).
cnf(i_0_742,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__Diff__single_0 ).
cnf(i_0_743,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__binary_0 ).
cnf(i_0_744,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__binary_0 ).
cnf(i_0_745,axiom,
( X1 = X2
| X1 = X3
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X4),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)) ),
cls_in__above_6 ).
cnf(i_0_746,axiom,
( X1 = X2
| X3 = X1
| X2 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X4),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)) ),
cls_in__below_6 ).
cnf(i_0_747,axiom,
( X1 = X2
| X1 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
cls_in__above_12 ).
cnf(i_0_748,axiom,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
cls_in__below_12 ).
cnf(i_0_749,plain,
( X1 = X4
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
inference(fof_simplification,[status(thm)],[cls_in__above_7]) ).
cnf(i_0_750,axiom,
( X2 = X4
| X4 = X2
| X4 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_7 ).
cnf(i_0_751,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
inference(fof_simplification,[status(thm)],[cls_in__below_11]) ).
cnf(i_0_752,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
inference(fof_simplification,[status(thm)],[cls_in__above_11]) ).
cnf(i_0_753,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
cls_doubleton__eq__iff_4 ).
cnf(i_0_754,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
cls_insert__commute_0 ).
cnf(i_0_755,axiom,
c_Set_Oimage(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X1,X4,X6) = c_Set_Oimage(X2,c_Set_Oimage(X3,X1,X4,X5),X5,X6),
cls_surj__compose_0 ).
cnf(i_0_756,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
cls_insert__Diff_0 ).
cnf(i_0_757,axiom,
c_Set_Ovimage(X1,X2,X3,X4) = c_Collect(hAPP(c_COMBC(c_COMBB(c_in(X4),X1,X4,tc_fun(tc_fun(X4,tc_bool),tc_bool),X3),X3,tc_fun(X4,tc_bool),tc_bool),X2),X3),
cls_vimage__def_0 ).
cnf(i_0_758,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3),
cls_insert__inter__insert_0 ).
cnf(i_0_759,axiom,
( hAPP(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X7) = hAPP(X2,hAPP(X3,X7))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X7),X1)) ),
cls_compose__eq_0 ).
cnf(i_0_760,axiom,
( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,tc_nat) = c_Finite__Set_Osetsum(X1,X2,X4,tc_nat)
| hBOOL(hAPP(hAPP(c_in(X4),X3),X2)) ),
cls_setsum__diff1__nat_1 ).
cnf(i_0_761,axiom,
( X1 = c_Relation_OImage(X2,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(X3,X1,X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4,X4)
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,tc_bool)),X1),c_Equiv__Relations_Oquotient(X3,X2,X4))) ),
cls_quotientE_0 ).
cnf(i_0_762,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
cls_subset__singletonD_0 ).
cnf(i_0_763,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
cls_Diff__insert_0 ).
cnf(i_0_764,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
cls_singleton__iff_1 ).
cnf(i_0_765,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
cls_Diff__insert__absorb_0 ).
cnf(i_0_766,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
cls_insertCI_0 ).
cnf(i_0_767,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
cls_insert__iff_2 ).
cnf(i_0_768,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
cls_insert__mono_0 ).
cnf(i_0_769,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
cls_insertCI_1 ).
cnf(i_0_770,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
cls_insertI1_0 ).
cnf(i_0_771,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
cls_insert__iff_1 ).
cnf(i_0_772,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2 ).
cnf(i_0_773,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(i_0_774,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__absorb2_0 ).
cnf(i_0_775,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
cls_inj__on__insert_0 ).
cnf(i_0_776,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
cls_image__insert_0 ).
cnf(i_0_777,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert__iff_1 ).
cnf(i_0_778,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert_0 ).
cnf(i_0_779,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
cls_Int__insert__left_0 ).
cnf(i_0_780,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X4)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
cls_Int__insert__right_0 ).
cnf(i_0_781,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) ),
cls_insert__subset_0 ).
cnf(i_0_782,axiom,
( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
| hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
| X2 = X4
| c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
cls_insert__ident_0 ).
cnf(i_0_783,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
cls_insert__subset_1 ).
cnf(i_0_784,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
cls_insert__Diff__if_1 ).
cnf(i_0_785,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
cls_singleton__inject_0 ).
cnf(i_0_786,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
cls_Un__insert__left_0 ).
cnf(i_0_787,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),
cls_Un__insert__right_0 ).
cnf(i_0_788,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
cls_insert__is__Un_0 ).
cnf(i_0_789,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X4,X2,X1,X1)),X6))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),c_Equiv__Relations_Oquotient(X5,X6,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),c_Equiv__Relations_Oquotient(X5,X6,X1)))
| ~ c_Equiv__Relations_Oequiv(X5,X6,X1) ),
cls_quotient__eq__iff_0 ).
cnf(i_0_790,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
inference(fof_simplification,[status(thm)],[cls_in__above_5]) ).
cnf(i_0_791,axiom,
( X1 = X2
| X2 = X1
| X2 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_5 ).
cnf(i_0_792,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
cls_UN__insert_0 ).
cnf(i_0_793,axiom,
c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
cls_UN__extend__simps_I1_J_0 ).
cnf(i_0_794,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
cls_insert__subset_2 ).
cnf(i_0_795,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
cls_insert__Diff1_0 ).
cnf(i_0_796,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_2 ).
cnf(i_0_797,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert_1 ).
cnf(i_0_798,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
cls_Int__insert__left_1 ).
cnf(i_0_799,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
cls_Int__insert__right_1 ).
cnf(i_0_800,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insertI2_0 ).
cnf(i_0_801,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__singleton_0 ).
cnf(i_0_802,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__singleton_0 ).
cnf(i_0_803,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Complete__Lattice_OInf__class_OInf(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__insert_0 ).
cnf(i_0_804,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__insert_0 ).
cnf(i_0_805,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0 ).
cnf(i_0_806,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X2))) ),
inference(fof_simplification,[status(thm)],[cls_in__mktop_4]) ).
cnf(i_0_807,axiom,
( X1 = X2
| X2 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X1))) ),
cls_in__mkbot_4 ).
cnf(i_0_808,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
cls_insert__image_0 ).
cnf(i_0_809,axiom,
( hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_comm__monoid__add_Ononempty__iff_2 ).
cnf(i_0_810,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_insert__not__empty_0 ).
cnf(i_0_811,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
cls_empty__not__insert_0 ).
cnf(i_0_812,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X4)) ),
cls_image__constant_0 ).
cnf(i_0_813,axiom,
c_Collect(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_singleton__conv_0 ).
cnf(i_0_814,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_image__constant__conv_1 ).
cnf(i_0_815,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
cls_insert__absorb_0 ).
cnf(i_0_816,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_singleton__conv2_0 ).
cnf(i_0_817,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_Collect(X4,X1),tc_fun(X1,tc_bool)))) ),
cls_Int__Collect_0 ).
cnf(i_0_818,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,c_Collect(X1,X3),tc_fun(X3,tc_bool)))) ),
cls_Int__Collect_1 ).
cnf(i_0_819,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_Collect(X4,X1),tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_Int__Collect_2 ).
cnf(i_0_820,axiom,
c_Collect(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),X1) = X2,
cls_Collect__mem__eq_0 ).
cnf(i_0_821,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
cls_CollectD_0 ).
cnf(i_0_822,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_CollectI_0 ).
cnf(i_0_823,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Collect(X2,X1)
| ~ hBOOL(hAPP(X2,X3)) ),
cls_empty__Collect__eq_0 ).
cnf(i_0_824,axiom,
( c_Collect(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
cls_Collect__empty__eq_0 ).
cnf(i_0_825,axiom,
( c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_COMBC(X3,X4,X4,tc_bool),c_COMBC(X5,X4,X4,tc_bool),X6,X7,X8,X9,X4)
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X1,X3,X5,X7,X6,X9,X8,X4) ),
cls_complete__lattice_Odual__complete__lattice_0,
[final] ).
cnf(i_0_826,plain,
( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_690,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_827,plain,
( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_692,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_828,plain,
( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3) ),
inference(rw,[status(thm)],[i_0_693,c_0_691]),
[final] ).
cnf(i_0_829,plain,
( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3) ),
inference(rw,[status(thm)],[i_0_694,c_0_691]),
[final] ).
cnf(i_0_830,plain,
( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool))) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
inference(rw,[status(thm)],[i_0_695,c_0_691]),
[final] ).
cnf(i_0_831,plain,
( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool))) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
inference(rw,[status(thm)],[i_0_696,c_0_691]),
[final] ).
cnf(i_0_832,axiom,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
cls_complete__lattice_OInf__lower_0,
[final] ).
cnf(i_0_833,axiom,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
cls_complete__lattice_OSup__upper_0,
[final] ).
cnf(i_0_834,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X3,X9,X2) ),
cls_complete__lattice_OInf__UNIV_0,
[final] ).
cnf(i_0_835,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X3,X2) ),
cls_complete__lattice_OSup__UNIV_0,
[final] ).
cnf(i_0_836,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2) ),
cls_complete__lattice_OInf__empty_0,
[final] ).
cnf(i_0_837,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2) ),
cls_complete__lattice_OSup__empty_0,
[final] ).
cnf(i_0_838,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X2__1(X3,X6,X1,X4,X2,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X2__1(X3,X6,X1,X4,X2,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
cls_2_3,
[final] ).
cnf(i_0_839,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X2__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X2__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
cls_2_2,
[final] ).
cnf(i_0_840,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X1__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X1__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
cls_1_1,
[final] ).
cnf(i_0_841,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__Xpairwise__neutrality__1(X3,X6,X1,X4,X2,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__Xpairwise__neutrality__1(X3,X6,X1,X4,X2,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
cls_pairwise__neutrality_3,
[final] ).
cnf(i_0_842,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__Xpairwise__neutrality__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__Xpairwise__neutrality__1(X6,X3,X4,X1,X5,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
cls_pairwise__neutrality_2,
[final] ).
cnf(i_0_843,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X2__1(X3,X6,X1,X4,X2,X5))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X2__1(X3,X6,X1,X4,X2,X5))))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
cls_2_1,
[final] ).
cnf(i_0_844,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X2__1(X6,X3,X4,X1,X5,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X2__1(X6,X3,X4,X1,X5,X2))))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
cls_2_0,
[final] ).
cnf(i_0_845,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X1__1(X6,X3,X4,X1,X5,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__X1__1(X6,X3,X4,X1,X5,X2))))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
cls_1_0,
[final] ).
cnf(i_0_846,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__Xpairwise__neutrality__1(X3,X6,X1,X4,X2,X5))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__Xpairwise__neutrality__1(X3,X6,X1,X4,X2,X5))))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
cls_pairwise__neutrality_1,
[final] ).
cnf(i_0_847,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__Xpairwise__neutrality__1(X6,X3,X4,X1,X5,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X6,v_sko__local__Xpairwise__neutrality__1(X6,X3,X4,X1,X5,X2))))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X6),c_Arrow__Order__Mirabelle_OProf)) ),
cls_pairwise__neutrality_0,
[final] ).
cnf(i_0_848,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))
| ~ c_Equiv__Relations_Oequiv(X6,X4,X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1),c_Relation_OImage(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1),tc_fun(X1,tc_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_697,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_849,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_OPi(X4,X5,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(X4,X5,X3,X1,X2))),hAPP(X5,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(X4,X5,X3,X1,X2)))) ),
cls_restrictI_1,
[final] ).
cnf(i_0_850,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__local__X4__1(X3,X5,X1,X2,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X4__1(X3,X5,X1,X2,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
cls_4_3,
[final] ).
cnf(i_0_851,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X4__1(X5,X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__local__X4__1(X5,X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf)) ),
cls_4_2,
[final] ).
cnf(i_0_852,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X4,X5,X3,X1,X2))),hAPP(X5,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X4,X5,X3,X1,X2)))) ),
cls_Pi__I_H_1,
[final] ).
cnf(i_0_853,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X4,X5,X3,X1,X2))),hAPP(X5,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X4,X5,X3,X1,X2)))) ),
cls_Pi__I_1,
[final] ).
cnf(i_0_854,plain,
( ~ c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),X4,tc_fun(X5,tc_bool)),X5,X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),X5,X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_698,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_855,plain,
( c_FuncSet_Orestrict(c_COMBB(X2,c_FuncSet_Orestrict(c_COMBB(X3,X4,X6,X7,X5),X1,X5,X7),X7,X8,X5),X1,X5,X8) = c_FuncSet_Orestrict(c_COMBB(c_FuncSet_Orestrict(c_COMBB(X2,X3,X7,X8,X6),X9,X6,X8),X4,X6,X8,X5),X1,X5,X8)
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X7,X8)),X2),c_FuncSet_OPi(X10,c_COMBK(X11,tc_fun(X8,tc_bool),X7),X7,X8)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X6,X7)),X3),c_FuncSet_OPi(X9,c_COMBK(X10,tc_fun(X7,tc_bool),X6),X6,X7)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X6)),X4),c_FuncSet_OPi(X1,c_COMBK(X9,tc_fun(X6,tc_bool),X5),X5,X6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_699,c_0_700]),c_0_700]),c_0_700]),c_0_700]),
[final] ).
cnf(i_0_856,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(X4,X5,X3,X1,X2))),X5)) ),
cls_restrict__in__funcset_1,
[final] ).
cnf(i_0_857,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__local__X4__1(X3,X5,X1,X2,X4))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X4__1(X3,X5,X1,X2,X4))))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
cls_4_1,
[final] ).
cnf(i_0_858,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X4__1(X5,X3,X4,X1,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__local__X4__1(X5,X3,X4,X1,X2))))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf)) ),
cls_4_0,
[final] ).
cnf(i_0_859,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X4,X5,X3,X1,X2))),X5)) ),
cls_funcsetI_1,
[final] ).
cnf(i_0_860,plain,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(c_COMBB(X4,X5,X6,X2,X1),X3,X1,X2)),c_FuncSet_OPi(X3,c_COMBK(X7,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X6,X2)),X4),c_FuncSet_OPi(X8,c_COMBK(X7,tc_fun(X2,tc_bool),X6),X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X6)),X5),c_FuncSet_OPi(X3,c_COMBK(X8,tc_fun(X6,tc_bool),X1),X1,X6))) ),
inference(rw,[status(thm)],[i_0_701,c_0_700]),
[final] ).
cnf(i_0_861,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X3) ),
cls_IIA__def_3,
[final] ).
cnf(i_0_862,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X5,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X5,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X3) ),
cls_IIA__def_2,
[final] ).
cnf(i_0_863,plain,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),X4,X5)
| hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X4,X5)))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_702,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_864,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__local__X3__1(X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X3__1(X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
cls_3_3,
[final] ).
cnf(i_0_865,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X3__1(X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__local__X3__1(X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf)) ),
cls_3_2,
[final] ).
cnf(i_0_866,plain,
( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ hBOOL(hAPP(hAPP(c_in(X6),X4),X3))
| ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X6),X6,X6,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),X5,X6,X7) ),
inference(rw,[status(thm)],[i_0_703,c_0_691]),
[final] ).
cnf(i_0_867,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(c_COMBB(X4,X5,X6,X2,X1),X3,X1,X2)),c_FuncSet_Oextensional(X3,X1,X2))),
inference(rw,[status(thm)],[i_0_704,c_0_700]),
[final] ).
cnf(i_0_868,plain,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_Relation_OImage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1)),c_Equiv__Relations_Oquotient(X4,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X4)) ),
inference(rw,[status(thm)],[i_0_705,c_0_691]),
[final] ).
cnf(i_0_869,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))
| ~ c_Equiv__Relations_Oequiv(X5,X4,X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X5))
| ~ c_lessequals(c_Relation_OImage(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1),c_Relation_OImage(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1),tc_fun(X1,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_706,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_870,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),c_Relation_OImage(X5,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X2))) ),
inference(rw,[status(thm)],[i_0_707,c_0_691]),
[final] ).
cnf(i_0_871,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X4,X5))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X3) ),
cls_IIA__def_1,
[final] ).
cnf(i_0_872,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X5,X4))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X5,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(X1,X2,X5,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X3) ),
cls_IIA__def_0,
[final] ).
cnf(i_0_873,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__local__X3__1(X3,X4,X1,X2))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X3__1(X3,X4,X1,X2))))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf)) ),
cls_3_1,
[final] ).
cnf(i_0_874,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X3)))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,v_sko__local__X3__1(X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__local__X3__1(X4,X3,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf)) ),
cls_3_0,
[final] ).
cnf(i_0_875,plain,
( hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
| c_Finite__Set_Ofold__graph(X1,X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),X4,tc_fun(X5,tc_bool)),hAPP(hAPP(X1,X3),X6),X5,X7)
| ~ c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7) ),
inference(rw,[status(thm)],[i_0_708,c_0_691]),
[final] ).
cnf(i_0_876,plain,
( hAPP(X1,X2) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),X4,X5))) ),
inference(rw,[status(thm)],[i_0_709,c_0_691]),
[final] ).
cnf(i_0_877,plain,
( c_lessequals(c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3),c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3),tc_fun(X3,tc_bool))
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_710,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_878,plain,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X6)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_711,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_879,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X4,X2,X5,X1)),X3)) ),
inference(rw,[status(thm)],[i_0_712,c_0_691]),
[final] ).
cnf(i_0_880,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X5,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_14,
[final] ).
cnf(i_0_881,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_14,
[final] ).
cnf(i_0_882,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X3,X4,X2,X1),c_Set_Oimage(X4,X3,X2,X1),X1,X2)),c_FuncSet_OPi(c_Set_Oimage(X4,X3,X2,X1),c_COMBK(X3,tc_fun(X2,tc_bool),X1),X1,X2))),
cls_inv__into__funcset_0,
[final] ).
cnf(i_0_883,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(X4,X5,X3,X1,X2)),X4)) ),
cls_restrict__in__funcset_0,
[final] ).
cnf(i_0_884,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_OPi(X4,X5,X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XrestrictI__1__1(X4,X5,X3,X1,X2)),X4)) ),
cls_restrictI_0,
[final] ).
cnf(i_0_885,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X4,X5,X3,X1,X2)),X4)) ),
cls_funcsetI_0,
[final] ).
cnf(i_0_886,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(X3),c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(X4,X1,X2,X3,X5)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X5)),X2),c_FuncSet_Oextensional(X4,X3,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X5)),X1),c_FuncSet_Oextensional(X4,X3,X5))) ),
cls_extensionalityI_0,
[final] ).
cnf(i_0_887,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X4,X5,X1)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X5,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(X4,X6))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X6),hAPP(X3,X7)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X7),X2)) ),
cls_bex__UN_3,
[final] ).
cnf(i_0_888,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X4,X5,X3,X1,X2)),X4)) ),
cls_Pi__I_H_0,
[final] ).
cnf(i_0_889,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XPi__I__1__1(X4,X5,X3,X1,X2)),X4)) ),
cls_Pi__I_0,
[final] ).
cnf(i_0_890,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X1,X4))),
inference(rw,[status(thm)],[i_0_713,c_0_691]),
[final] ).
cnf(i_0_891,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3) != c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3)
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X5)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_714,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_892,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3) != c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3)
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X5)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_715,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_893,plain,
( X1 = X5
| X1 = X4
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_716,c_0_691]),c_0_691]),c_0_691]),c_0_691]),
[final] ).
cnf(i_0_894,plain,
( X2 = X4
| X1 = X4
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_717,c_0_691]),c_0_691]),c_0_691]),c_0_691]),
[final] ).
cnf(i_0_895,plain,
( X2 = X5
| X1 = X5
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_718,c_0_691]),c_0_691]),c_0_691]),c_0_691]),
[final] ).
cnf(i_0_896,plain,
( X2 = X5
| X2 = X4
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_719,c_0_691]),c_0_691]),c_0_691]),c_0_691]),
[final] ).
cnf(i_0_897,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1)))
| ~ c_Equiv__Relations_Oequiv(X4,X3,X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
inference(rw,[status(thm)],[i_0_720,c_0_691]),
[final] ).
cnf(i_0_898,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1))
| c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3) != c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3)
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_721,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_899,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| X1 = X4
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_10,
[final] ).
cnf(i_0_900,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5)))
| X1 = X5
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_8,
[final] ).
cnf(i_0_901,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| X2 = X4
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X5,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_8,
[final] ).
cnf(i_0_902,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5)))
| X2 = X5
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_10,
[final] ).
cnf(i_0_903,axiom,
( X1 = X4
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_13,
[final] ).
cnf(i_0_904,axiom,
( X4 = X2
| X4 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_13,
[final] ).
cnf(i_0_905,plain,
( c_Fun_Obij__betw(c_FuncSet_Orestrict(c_COMBB(X2,X3,X5,X6,X4),X1,X4,X6),X1,X7,X4,X6)
| ~ c_Fun_Obij__betw(X3,X1,X8,X4,X5)
| ~ c_Fun_Obij__betw(X2,X8,X7,X5,X6) ),
inference(rw,[status(thm)],[i_0_722,c_0_700]),
[final] ).
cnf(i_0_906,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X1,X4,X2,X2)),X3))
| c_Equiv__Relations_Oquotient(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X3,X2) != c_Equiv__Relations_Oquotient(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X3,X2)
| ~ c_Equiv__Relations_Oequiv(X5,X3,X2)
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X5)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_723,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_907,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_724,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_908,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_725,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_909,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_726,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_910,axiom,
( X1 = X2
| ~ c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X5) ),
cls_empty__fold__graphE_0,
[final] ).
cnf(i_0_911,axiom,
( X1 = X3
| hAPP(X1,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(X2,X1,X3,X4,X5)) != hAPP(X3,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(X2,X1,X3,X4,X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,X5)),X3),c_FuncSet_Oextensional(X2,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,X5)),X1),c_FuncSet_Oextensional(X2,X4,X5))) ),
cls_extensionalityI_1,
[final] ).
cnf(i_0_912,plain,
( c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3) = c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3)
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_727,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_913,plain,
c_FuncSet_Orestrict(c_COMBB(X1,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3),X3,X4,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X4) = c_FuncSet_Orestrict(c_COMBI(X4),c_Set_Oimage(X1,X2,X3,X4),X4,X4),
inference(rw,[status(thm)],[i_0_728,c_0_700]),
[final] ).
cnf(i_0_914,plain,
( c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3) = c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3)
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_729,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_915,plain,
( c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3) = c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X3,X3)
| ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X2,X4,X3,X3)),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_730,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_916,plain,
( c_Equiv__Relations_Oquotient(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X3,X2) = c_Equiv__Relations_Oquotient(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X3,X2)
| ~ c_Equiv__Relations_Oequiv(X5,X3,X2)
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X2)),c_Pair(X1,X4,X2,X2)),X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_731,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_917,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_732,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_918,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(X4,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1(X1,X2,X4))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X3) ),
cls_unanimity__def_0,
[final] ).
cnf(i_0_919,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
cls_CHAINED_0_01,
[final] ).
cnf(i_0_920,plain,
c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_733,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_921,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_notin__Lin__iff_1,
[final] ).
cnf(i_0_922,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_Lin__irrefl_0,
[final] ).
cnf(i_0_923,plain,
( c_Fun_Oinj__on(c_FuncSet_Orestrict(c_COMBB(X2,X3,X5,X6,X4),X1,X4,X6),X1,X4,X6)
| ~ c_Fun_Oinj__on(X2,X7,X5,X6)
| ~ c_Fun_Obij__betw(X3,X1,X7,X4,X5) ),
inference(rw,[status(thm)],[i_0_734,c_0_700]),
[final] ).
cnf(i_0_924,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastLessThan(X5,X1,X6,X3,X4))) ),
cls_ord_OatLeastLessThan__iff_1,
[final] ).
cnf(i_0_925,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastLessThan(X1,X5,X2,X6,X4))) ),
cls_ord_OatLeastLessThan__iff_0,
[final] ).
cnf(i_0_926,plain,
( c_FuncSet_Orestrict(c_COMBB(c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3),X2,X4,X3,X3),X1,X3,X3) = c_FuncSet_Orestrict(c_COMBI(X3),X1,X3,X3)
| ~ c_Fun_Obij__betw(X2,X1,X5,X3,X4) ),
inference(rw,[status(thm)],[i_0_735,c_0_700]),
[final] ).
cnf(i_0_927,plain,
( c_FuncSet_Orestrict(c_COMBB(c_FuncSet_Orestrict(c_COMBI(X2),X3,X2,X2),X4,X2,X2,X5),X1,X5,X2) = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X2)),X4),c_FuncSet_Oextensional(X1,X5,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X2)),X4),c_FuncSet_OPi(X1,c_COMBK(X3,tc_fun(X2,tc_bool),X5),X5,X2))) ),
inference(rw,[status(thm)],[i_0_736,c_0_700]),
[final] ).
cnf(i_0_928,plain,
( c_FuncSet_Orestrict(c_COMBB(X2,c_FuncSet_Orestrict(c_COMBI(X3),X1,X3,X3),X3,X4,X3),X1,X3,X4) = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X2),c_FuncSet_Oextensional(X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X2),c_FuncSet_OPi(X1,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4))) ),
inference(rw,[status(thm)],[i_0_737,c_0_700]),
[final] ).
cnf(i_0_929,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X4,X3,X5),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X4,X3,X5))))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__transfer_1,
[final] ).
cnf(i_0_930,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))) ),
inference(rw,[status(thm)],[i_0_738,c_0_691]),
[final] ).
cnf(i_0_931,plain,
( X2 = X4
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X4),X3,tc_fun(X1,tc_bool)))) ),
inference(rw,[status(thm)],[i_0_739,c_0_691]),
[final] ).
cnf(i_0_932,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
cls_fun__upd__twist_0,
[final] ).
cnf(i_0_933,plain,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_740,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_934,plain,
( X2 = X3
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X1,tc_fun(X4,tc_bool)),X2)) ),
inference(rw,[status(thm)],[i_0_741,c_0_691]),
[final] ).
cnf(i_0_935,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_HOL_Ominus__class_Ominus(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_742,c_0_691]),c_0_691]),c_0_691]),
[final] ).
cnf(i_0_936,axiom,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_2,
[final] ).
cnf(i_0_937,axiom,
( X1 = X2
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_2,
[final] ).
cnf(i_0_938,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X1 = X4
| X2 = X4
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_3,
[final] ).
cnf(i_0_939,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X2 = X4
| X1 = X4
| X5 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X5,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_3,
[final] ).
cnf(i_0_940,axiom,
( X4 = X1
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_1,
[final] ).
cnf(i_0_941,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_1,
[final] ).
cnf(i_0_942,plain,
( c_Complete__Lattice_OInf__class_OInf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_743,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_943,plain,
( c_Complete__Lattice_OSup__class_OSup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_744,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_944,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5)))
| X1 = X4
| X2 = X4
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_4,
[final] ).
cnf(i_0_945,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5)))
| X2 = X5
| X1 = X5
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_4,
[final] ).
cnf(i_0_946,axiom,
( X1 = X3
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X4),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)) ),
inference(cn,[status(thm)],[i_0_745]),
[final] ).
cnf(i_0_947,axiom,
( X1 = X3
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X4),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4)) ),
inference(cn,[status(thm)],[i_0_746]),
[final] ).
cnf(i_0_948,axiom,
( X1 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
inference(cn,[status(thm)],[i_0_747]),
[final] ).
cnf(i_0_949,axiom,
( X2 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
inference(cn,[status(thm)],[i_0_748]),
[final] ).
cnf(i_0_950,axiom,
( X1 = X4
| X4 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_9,
[final] ).
cnf(i_0_951,plain,
( X1 = X4
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_749,
[final] ).
cnf(i_0_952,axiom,
( X2 = X4
| X1 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
inference(cn,[status(thm)],[i_0_750]),
[final] ).
cnf(i_0_953,axiom,
( X4 = X2
| X1 = X4
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_9,
[final] ).
cnf(i_0_954,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_751,
[final] ).
cnf(i_0_955,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_752,
[final] ).
cnf(i_0_956,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_753,c_0_691]),c_0_691]),c_0_691]),c_0_691]),
[final] ).
cnf(i_0_957,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_754,c_0_691]),c_0_691]),c_0_691]),c_0_691]),
[final] ).
cnf(i_0_958,plain,
c_Set_Oimage(c_FuncSet_Orestrict(c_COMBB(X2,X3,X5,X6,X4),X1,X4,X6),X1,X4,X6) = c_Set_Oimage(X2,c_Set_Oimage(X3,X1,X4,X5),X5,X6),
inference(rw,[status(thm)],[i_0_755,c_0_700]),
[final] ).
cnf(i_0_959,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),c_Relation_Oconverse(X5,X1,X2))) ),
cls_converseD_0,
[final] ).
cnf(i_0_960,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Relation_Oconverse(X5,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),X5)) ),
cls_converse__iff_1,
[final] ).
cnf(i_0_961,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Relation_Oconverse(X5,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),X5)) ),
cls_converseI_0,
[final] ).
cnf(i_0_962,plain,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_HOL_Ominus__class_Ominus(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_756,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_963,axiom,
c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
cls_fold__graph_OemptyI_0,
[final] ).
cnf(i_0_964,plain,
c_Set_Ovimage(X1,X2,X3,X4) = hAPP(c_COMBC(c_COMBB(c_in(X4),X1,X4,tc_fun(tc_fun(X4,tc_bool),tc_bool),X3),X3,tc_fun(X4,tc_bool),tc_bool),X2),
inference(rw,[status(thm)],[i_0_757,c_0_689]),
[final] ).
cnf(i_0_965,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,X1,X4),X5)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),c_Set_Oimage(X3,X2,X1,X4))) ),
cls_inv__into__into_0,
[final] ).
cnf(i_0_966,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
cls_in__mkbot_2,
[final] ).
cnf(i_0_967,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
cls_in__mktop_2,
[final] ).
cnf(i_0_968,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_758,c_0_691]),c_0_691]),c_0_691]),
[final] ).
cnf(i_0_969,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X2
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
cls_in__mktop_5,
[final] ).
cnf(i_0_970,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X2
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
cls_in__mkbot_5,
[final] ).
cnf(i_0_971,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X2 = X4
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
cls_in__mktop_3,
[final] ).
cnf(i_0_972,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X4
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3)) ),
cls_in__mkbot_3,
[final] ).
cnf(i_0_973,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X4,X5,X3,X3)),X6))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X2),c_Equiv__Relations_Oquotient(X7,X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X1),c_Equiv__Relations_Oquotient(X7,X6,X3)))
| ~ c_Equiv__Relations_Oequiv(X7,X6,X3) ),
cls_quotient__eqI_0,
[final] ).
cnf(i_0_974,plain,
( hAPP(c_FuncSet_Orestrict(c_COMBB(X2,X3,X5,X6,X4),X1,X4,X6),X7) = hAPP(X2,hAPP(X3,X7))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X7),X1)) ),
inference(rw,[status(thm)],[i_0_759,c_0_700]),
[final] ).
cnf(i_0_975,plain,
( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X4,tc_nat) = c_Finite__Set_Osetsum(X1,X2,X4,tc_nat)
| hBOOL(hAPP(hAPP(c_in(X4),X3),X2)) ),
inference(rw,[status(thm)],[i_0_760,c_0_691]),
[final] ).
cnf(i_0_976,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
cls_notin__Lin__iff_0,
[final] ).
cnf(i_0_977,plain,
( X1 = c_Relation_OImage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),c_List_Osko__Equiv__Relations__XquotientE__1__1(X3,X1,X2,X4)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X4,X4)
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,tc_bool)),X1),c_Equiv__Relations_Oquotient(X3,X2,X4))) ),
inference(rw,[status(thm)],[i_0_761,c_0_691]),
[final] ).
cnf(i_0_978,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X1,X4,X5)))
| ~ hBOOL(hAPP(X1,X6))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),hAPP(X3,X7)))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X7),X2)) ),
cls_bex__UN_4,
[final] ).
cnf(i_0_979,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X4,X2,X5,X1)),c_Product__Type_OSigma(X6,X3,X5,X1))) ),
cls_SigmaD2_0,
[final] ).
cnf(i_0_980,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X4)),c_Pair(X2,X5,X1,X4)),c_Product__Type_OSigma(X3,X6,X1,X4))) ),
cls_SigmaD1_0,
[final] ).
cnf(i_0_981,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastLessThan(X3,X4,X5,X6,X1)))
| ~ hBOOL(hAPP(hAPP(X4,X2),X6))
| ~ hBOOL(hAPP(hAPP(X3,X5),X2)) ),
cls_ord_OatLeastLessThan__iff_2,
[final] ).
cnf(i_0_982,axiom,
( X5 = X6
| hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X6),c_Set_Oimage(X2,X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),c_Set_Oimage(X2,X1,X3,X4))) ),
cls_inv__into__injective_0,
[final] ).
cnf(i_0_983,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_762,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_984,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X6,X2,X5,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X4)) ),
cls_Image__iff_2,
[final] ).
cnf(i_0_985,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(X3,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),c_Pair(X6,X2,X5,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X4)) ),
cls_rev__ImageI_0,
[final] ).
cnf(i_0_986,plain,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_763,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_987,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
cls_fun__upd__upd_0,
[final] ).
cnf(i_0_988,axiom,
( X3 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X2),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__below_0,
[final] ).
cnf(i_0_989,axiom,
( X3 = X4
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X2),c_Arrow__Order__Mirabelle_OLin)) ),
cls_in__above_0,
[final] ).
cnf(i_0_990,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))),
inference(rw,[status(thm)],[i_0_764,c_0_691]),
[final] ).
cnf(i_0_991,plain,
( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_765,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_992,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
inference(rw,[status(thm)],[i_0_766,c_0_691]),
[final] ).
cnf(i_0_993,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
inference(rw,[status(thm)],[i_0_767,c_0_691]),
[final] ).
cnf(i_0_994,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_768,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_995,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
inference(rw,[status(thm)],[i_0_769,c_0_691]),
[final] ).
cnf(i_0_996,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
inference(rw,[status(thm)],[i_0_770,c_0_691]),
[final] ).
cnf(i_0_997,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
inference(rw,[status(thm)],[i_0_771,c_0_691]),
[final] ).
cnf(i_0_998,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(rw,[status(thm)],[i_0_772,c_0_691]),
[final] ).
cnf(i_0_999,plain,
hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X1)),
inference(rw,[status(thm)],[i_0_773,c_0_691]),
[final] ).
cnf(i_0_1000,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_774,c_0_691]),c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1001,axiom,
( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)))
| hAPP(X1,X4) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X4),X1,X4,X3,X2))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
cls_range__ex1__eq_2,
[final] ).
cnf(i_0_1002,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Oimage(X1,X6,X4,X5)))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__fun__updI_0,
[final] ).
cnf(i_0_1003,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),X2,tc_fun(X3,tc_bool)),X3,X4) ),
inference(rw,[status(thm)],[i_0_775,c_0_691]),
[final] ).
cnf(i_0_1004,plain,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),hAPP(X1,X2)),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_776,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1005,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin)),
cls_conjecture_0,
[final] ).
cnf(i_0_1006,axiom,
( c_Fun_Obij__betw(X1,X2,X3,X4,X5)
| ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X4,X5),X2,X3,X4,X5) ),
cls_bij__betw__restrict__eq_0,
[final] ).
cnf(i_0_1007,axiom,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
cls_inj__on__Un_3,
[final] ).
cnf(i_0_1008,axiom,
( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X2)),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)))
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4) != X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
cls_range__ex1__eq_3,
[final] ).
cnf(i_0_1009,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ c_Fun_Obij__betw(X3,X4,X5,X1,X2) ),
cls_bij__betw__imp__funcset_0,
[final] ).
cnf(i_0_1010,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X4,X1,X1)),X5))
| ~ c_Equiv__Relations_Oequiv(X3,X5,X1) ),
cls_equiv__class__eq__iff_1,
[final] ).
cnf(i_0_1011,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X4,X2,X1,X1)),X5))
| ~ c_Equiv__Relations_Oequiv(X3,X5,X1) ),
cls_equiv__class__eq__iff_2,
[final] ).
cnf(i_0_1012,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[i_0_777,c_0_691]),
[final] ).
cnf(i_0_1013,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[i_0_778,c_0_691]),
[final] ).
cnf(i_0_1014,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X4,X5,X3)),c_Set_Oimage(X4,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3)))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3) ),
cls_inj__transfer_0,
[final] ).
cnf(i_0_1015,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2),tc_fun(X3,tc_bool)) ),
cls_pred__subset__eq_0,
[final] ).
cnf(i_0_1016,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_779,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1017,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_780,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1018,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) ),
inference(rw,[status(thm)],[i_0_781,c_0_691]),
[final] ).
cnf(i_0_1019,plain,
( X2 = X4
| hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
| hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X4,tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_782,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1020,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Product__Type_OSigma(X5,X6,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X5)) ),
cls_mem__Sigma__iff_2,
[final] ).
cnf(i_0_1021,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Product__Type_OSigma(X5,X6,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X5)) ),
cls_SigmaI_0,
[final] ).
cnf(i_0_1022,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[i_0_783,c_0_691]),
[final] ).
cnf(i_0_1023,plain,
( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_784,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1024,plain,
( X1 = X3
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_785,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1025,axiom,
( c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X5,X3,X4)
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
cls_bij__betw__restrict__eq_1,
[final] ).
cnf(i_0_1026,axiom,
( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X1,X4,X3)
| ~ c_Fun_Obij__betw(X2,X1,X5,X3,X4) ),
cls_bij__betw__inv__into_0,
[final] ).
cnf(i_0_1027,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X1),c_FuncSet_OPi(X2,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4))) ),
cls_funcset__image_0,
[final] ).
cnf(i_0_1028,axiom,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X2,X1))),
cls_in__mktop_1,
[final] ).
cnf(i_0_1029,axiom,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X2,X1))),
cls_in__mkbot_1,
[final] ).
cnf(i_0_1030,axiom,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X1))),
cls_in__mktop_0,
[final] ).
cnf(i_0_1031,axiom,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X2))),
cls_in__mkbot_0,
[final] ).
cnf(i_0_1032,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_786,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1033,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_787,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1034,axiom,
c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3,X4),
cls_range__composition_0,
[final] ).
cnf(i_0_1035,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_788,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1036,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X4,X2,X1,X1)),X6))
| ~ c_Equiv__Relations_Oequiv(X5,X6,X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),c_Equiv__Relations_Oquotient(X5,X6,X1))) ),
inference(cn,[status(thm)],[i_0_789]),
[final] ).
cnf(i_0_1037,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBB(X2,X3,X4,tc_fun(X5,tc_bool),X6),X6,tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(X3,X1,X6,X4),X2,X4,tc_fun(X5,tc_bool)),
cls_UN__extend__simps_I10_J_0,
[final] ).
cnf(i_0_1038,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(X1,X2,X3,X4),X5,X4,tc_fun(X6,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBB(X5,X1,X4,tc_fun(X6,tc_bool),X3),X3,tc_fun(X6,tc_bool)),
cls_UN__simps_I10_J_0,
[final] ).
cnf(i_0_1039,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
cls_image__image_0,
[final] ).
cnf(i_0_1040,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3))) ),
cls_ball__conj__distrib_2,
[final] ).
cnf(i_0_1041,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3))) ),
cls_ball__conj__distrib_3,
[final] ).
cnf(i_0_1042,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X6,c_COMBK(X4,tc_fun(X1,tc_bool),X5),X5,X1))) ),
cls_funcset__mem_0,
[final] ).
cnf(i_0_1043,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_790,
[final] ).
cnf(i_0_1044,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
inference(cn,[status(thm)],[i_0_791]),
[final] ).
cnf(i_0_1045,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
cls_const__Lin__Prof_0,
[final] ).
cnf(i_0_1046,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,X3,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
inference(rw,[status(thm)],[i_0_792,c_0_691]),
[final] ).
cnf(i_0_1047,axiom,
( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))
| ~ hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X8),X1)) ),
cls_SUP2__I_0,
[final] ).
cnf(i_0_1048,axiom,
( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))
| ~ hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X8),X1)) ),
cls_SUP2__iff_2,
[final] ).
cnf(i_0_1049,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X2,X3,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)))
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
cls_range__ex1__eq_0,
[final] ).
cnf(i_0_1050,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| hBOOL(hAPP(hAPP(c_in(X4),X2),X6)) ),
cls_fun__upd__image_1,
[final] ).
cnf(i_0_1051,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
cls_image__diff__subset_0,
[final] ).
cnf(i_0_1052,axiom,
c_lessequals(c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
cls_Image__Int__subset_0,
[final] ).
cnf(i_0_1053,axiom,
c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
cls_image__Int__subset_0,
[final] ).
cnf(i_0_1054,axiom,
( X3 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X2,X3),X2,X1,X4)
| ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1)))
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1) ),
cls_range__ex1__eq_1,
[final] ).
cnf(i_0_1055,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_793,c_0_691]),c_0_691]),
[final] ).
cnf(i_0_1056,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_List_Osko__Equiv__Relations__XquotientE__1__1(X2,X3,X4,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),c_Equiv__Relations_Oquotient(X2,X4,X1))) ),
cls_quotientE_1,
[final] ).
cnf(i_0_1057,axiom,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),c_Set_Oimage(X1,X2,X3,X4))) ),
cls_f__inv__into__f_0,
[final] ).
cnf(i_0_1058,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(X4,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X2)) ),
cls_bex__Un_4,
[final] ).
cnf(i_0_1059,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(X4,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X3)) ),
cls_bex__Un_6,
[final] ).
cnf(i_0_1060,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
inference(rw,[status(thm)],[i_0_794,c_0_691]),
[final] ).
cnf(i_0_1061,plain,
( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
inference(rw,[status(thm)],[i_0_795,c_0_691]),
[final] ).
cnf(i_0_1062,plain,
( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[i_0_796,c_0_691]),
[final] ).
cnf(i_0_1063,plain,
( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[i_0_797,c_0_691]),
[final] ).
cnf(i_0_1064,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
cls_restrict__extensional_0,
[final] ).
cnf(i_0_1065,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
inference(rw,[status(thm)],[i_0_798,c_0_691]),
[final] ).
cnf(i_0_1066,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
inference(rw,[status(thm)],[i_0_799,c_0_691]),
[final] ).
cnf(i_0_1067,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),hAPP(X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X6,X4,X5,X1))) ),
cls_Pi__mem_0,
[final] ).
cnf(i_0_1068,axiom,
( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X3,X6,X1,X4))) ),
cls_PiE_0,
[final] ).
cnf(i_0_1069,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
cls_COMBB__def_0,
[final] ).
cnf(i_0_1070,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
| ~ c_Fun_Oinj__on(X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4) ),
cls_inj__image__mem__iff_0,
[final] ).
cnf(i_0_1071,axiom,
( c_lessequals(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3),tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_pred__subset__eq_1,
[final] ).
cnf(i_0_1072,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__other_0,
[final] ).
cnf(i_0_1073,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__apply_1,
[final] ).
cnf(i_0_1074,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__same_0,
[final] ).
cnf(i_0_1075,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__apply_0,
[final] ).
cnf(i_0_1076,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[i_0_800,c_0_691]),
[final] ).
cnf(i_0_1077,plain,
( c_Complete__Lattice_OInf__class_OInf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(rw,[status(thm)],[i_0_801,c_0_691]),
[final] ).
cnf(i_0_1078,plain,
( c_Complete__Lattice_OSup__class_OSup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(rw,[status(thm)],[i_0_802,c_0_691]),
[final] ).
cnf(i_0_1079,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
cls_inj__on__Un_2,
[final] ).
cnf(i_0_1080,plain,
( c_Complete__Lattice_OInf__class_OInf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Complete__Lattice_OInf__class_OInf(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(rw,[status(thm)],[i_0_803,c_0_691]),
[final] ).
cnf(i_0_1081,plain,
( c_Complete__Lattice_OSup__class_OSup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(rw,[status(thm)],[i_0_804,c_0_691]),
[final] ).
cnf(i_0_1082,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[i_0_805,c_0_691]),
[final] ).
cnf(i_0_1083,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
cls_ball__conj__distrib_0,
[final] ).
cnf(i_0_1084,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
cls_ball__conj__distrib_1,
[final] ).
cnf(i_0_1085,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2)))
| X1 = X2 ),
cls_complete__Lin_1,
[final] ).
cnf(i_0_1086,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X2))) ),
c_0_806,
[final] ).
cnf(i_0_1087,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X1))) ),
inference(cn,[status(thm)],[i_0_807]),
[final] ).
cnf(i_0_1088,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__image__subset__iff_0,
[final] ).
cnf(i_0_1089,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)) ),
cls_converse__in__Lin_0,
[final] ).
cnf(i_0_1090,axiom,
( c_Set_Oimage(X1,X2,X3,X4) = X5
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
cls_bij__betw__def_1,
[final] ).
cnf(i_0_1091,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
cls_bij__betw__def_0,
[final] ).
cnf(i_0_1092,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__image__set__diff_0,
[final] ).
cnf(i_0_1093,axiom,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__image__Int_0,
[final] ).
cnf(i_0_1094,axiom,
( c_Fun_Obij__betw(X1,X2,c_Set_Oimage(X1,X2,X3,X4),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
cls_bij__betw__def_2,
[final] ).
cnf(i_0_1095,plain,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),hAPP(X1,X2)),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)) = c_Set_Oimage(X1,X3,X4,X5)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
inference(rw,[status(thm)],[i_0_808,c_0_691]),
[final] ).
cnf(i_0_1096,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__Int__crazy_0,
[final] ).
cnf(i_0_1097,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
cls_below__Lin_0,
[final] ).
cnf(i_0_1098,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
cls_above__Lin_0,
[final] ).
cnf(i_0_1099,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
cls_converse__in__Lin_1,
[final] ).
cnf(i_0_1100,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_vimage__subsetI_0,
[final] ).
cnf(i_0_1101,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X1)),c_COMBI(X1)),c_FuncSet_OPi(X2,c_COMBK(X2,tc_fun(X1,tc_bool),X1),X1,X1))),
cls_funcset__id_0,
[final] ).
cnf(i_0_1102,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_image__set__diff_0,
[final] ).
cnf(i_0_1103,axiom,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_image__Int_0,
[final] ).
cnf(i_0_1104,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
cls_vimageD_0,
[final] ).
cnf(i_0_1105,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
cls_vimageE_0,
[final] ).
cnf(i_0_1106,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
cls_fun__upd__idem__iff_0,
[final] ).
cnf(i_0_1107,plain,
( hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[i_0_809,c_0_691]),
[final] ).
cnf(i_0_1108,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X1) ),
cls_inj__image__mem__iff_1,
[final] ).
cnf(i_0_1109,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_image__inv__f__f_0,
[final] ).
cnf(i_0_1110,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_inv__image__comp_0,
[final] ).
cnf(i_0_1111,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OgreaterThanLessThan(X1,X5,X3,X4))) ),
cls_ord_OgreaterThanLessThan__iff_1,
[final] ).
cnf(i_0_1112,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X5,X3,X4))) ),
cls_ord_OatLeastAtMost__iff_1,
[final] ).
cnf(i_0_1113,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThanLessThan(X1,X2,X5,X4))) ),
cls_ord_OgreaterThanLessThan__iff_0,
[final] ).
cnf(i_0_1114,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastAtMost(X1,X2,X5,X4))) ),
cls_ord_OatLeastAtMost__iff_0,
[final] ).
cnf(i_0_1115,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[i_0_810,c_0_691]),
[final] ).
cnf(i_0_1116,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[i_0_811,c_0_691]),
[final] ).
cnf(i_0_1117,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X2),c_Equiv__Relations_Oquotient(X4,X5,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X1),c_Equiv__Relations_Oquotient(X4,X5,X3)))
| ~ c_Equiv__Relations_Oequiv(X4,X5,X3) ),
cls_quotient__disj_0,
[final] ).
cnf(i_0_1118,axiom,
( X2 = X3
| hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) != hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3) ),
cls_pred__equals__eq_0,
[final] ).
cnf(i_0_1119,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
| ~ c_lessequals(X5,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inv__into__image__cancel_0,
[final] ).
cnf(i_0_1120,plain,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X4)) ),
inference(rw,[status(thm)],[i_0_812,c_0_691]),
[final] ).
cnf(i_0_1121,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
cls_vimage__code_0,
[final] ).
cnf(i_0_1122,plain,
hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_813,c_0_689]),c_0_691]),
[final] ).
cnf(i_0_1123,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
cls_mktop__Lin_0,
[final] ).
cnf(i_0_1124,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
cls_mkbot__Lin_0,
[final] ).
cnf(i_0_1125,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__subset__iff_1,
[final] ).
cnf(i_0_1126,axiom,
( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
| ~ c_lessequals(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)) ),
cls_inj__on__inv__into_0,
[final] ).
cnf(i_0_1127,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X3)) ),
cls_UN__I_0,
[final] ).
cnf(i_0_1128,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X3)) ),
cls_UN__iff_2,
[final] ).
cnf(i_0_1129,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,X3,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X4,X3,tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
cls_UN__Un_0,
[final] ).
cnf(i_0_1130,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
cls_image__vimage__subset_0,
[final] ).
cnf(i_0_1131,plain,
( X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rw,[status(thm)],[i_0_814,c_0_691]),
[final] ).
cnf(i_0_1132,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Diff_0,
[final] ).
cnf(i_0_1133,axiom,
c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Un_0,
[final] ).
cnf(i_0_1134,axiom,
c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Int_0,
[final] ).
cnf(i_0_1135,axiom,
c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
cls_Image__Un_0,
[final] ).
cnf(i_0_1136,axiom,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
cls_image__Un_0,
[final] ).
cnf(i_0_1137,axiom,
( X1 = X5
| c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3) != c_Product__Type_OSigma(X5,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
cls_Times__eq__cancel2_0,
[final] ).
cnf(i_0_1138,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
cls_vimageI_0,
[final] ).
cnf(i_0_1139,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
cls_vimageI2_0,
[final] ).
cnf(i_0_1140,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
cls_vimage__eq_1,
[final] ).
cnf(i_0_1141,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
cls_image__vimage__eq_0,
[final] ).
cnf(i_0_1142,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4) ),
cls_inj__on__restrict__eq_0,
[final] ).
cnf(i_0_1143,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__on__Un__image__eq__iff_0,
[final] ).
cnf(i_0_1144,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
cls_SUP1__I_0,
[final] ).
cnf(i_0_1145,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
cls_SUP1__iff_2,
[final] ).
cnf(i_0_1146,axiom,
hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1))),
cls_rangeI_0,
[final] ).
cnf(i_0_1147,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
cls_imageI_0,
[final] ).
cnf(i_0_1148,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
cls_image__eqI_0,
[final] ).
cnf(i_0_1149,axiom,
( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_image__iff_2,
[final] ).
cnf(i_0_1150,axiom,
( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_rev__image__eqI_0,
[final] ).
cnf(i_0_1151,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThanLessThan(X3,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X5))
| ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
cls_ord_OgreaterThanLessThan__iff_2,
[final] ).
cnf(i_0_1152,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X5))
| ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
cls_ord_OatLeastAtMost__iff_2,
[final] ).
cnf(i_0_1153,plain,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
inference(rw,[status(thm)],[i_0_815,c_0_691]),
[final] ).
cnf(i_0_1154,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X6))
| ~ c_lessequals(c_Set_Oimage(X2,X6,X5,X1),X4,tc_fun(X1,tc_bool)) ),
cls_image__subset__iff_0,
[final] ).
cnf(i_0_1155,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__eq__iff_0,
[final] ).
cnf(i_0_1156,axiom,
( c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X6))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X6,X1,X5,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_UN__subset__iff_0,
[final] ).
cnf(i_0_1157,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))
| ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X2)) ),
cls_bex__Un_5,
[final] ).
cnf(i_0_1158,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))
| ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X3)) ),
cls_bex__Un_7,
[final] ).
cnf(i_0_1159,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem_0,
[final] ).
cnf(i_0_1160,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__triv_0,
[final] ).
cnf(i_0_1161,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem__iff_1,
[final] ).
cnf(i_0_1162,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__vimage__image__eq_0,
[final] ).
cnf(i_0_1163,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
cls_vimage__mono_0,
[final] ).
cnf(i_0_1164,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
cls_image__mono_0,
[final] ).
cnf(i_0_1165,axiom,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_subset__image__iff_2,
[final] ).
cnf(i_0_1166,plain,
hAPP(c_fequal(X1),X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_816,c_0_689]),c_0_691]),
[final] ).
cnf(i_0_1167,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
cls_vimage__code_1,
[final] ).
cnf(i_0_1168,axiom,
( c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
cls_inj__on__restrict__eq_1,
[final] ).
cnf(i_0_1169,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X2,X3,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool)))) ),
cls_UnionE_1,
[final] ).
cnf(i_0_1170,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_inv__f__f_0,
[final] ).
cnf(i_0_1171,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
cls_inv__f__eq_0,
[final] ).
cnf(i_0_1172,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X1))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inv__into__f__f_0,
[final] ).
cnf(i_0_1173,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X3,X4,X1,X5),hAPP(X4,X2)) = X2
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_Fun_Oinj__on(X4,X3,X1,X5) ),
cls_inv__into__f__eq_0,
[final] ).
cnf(i_0_1174,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
cls_UN__absorb_0,
[final] ).
cnf(i_0_1175,axiom,
hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
cls_COMBC__def_0,
[final] ).
cnf(i_0_1176,axiom,
( hAPP(hAPP(X1,c_COMBK(hAPP(X2,hAPP(X3,X4)),X5,X5)),X4) = hAPP(hAPP(X1,X2),X4)
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X1,X3,X5,X6) ),
cls_iso__tuple__update__accessor__cong__assist__def_0,
[final] ).
cnf(i_0_1177,axiom,
c_Set_Oimage(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4) = c_Set_Oimage(X1,X2,X3,X4),
cls_image__restrict__eq_0,
[final] ).
cnf(i_0_1178,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,tc_fun(X1,tc_bool))))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X2,X3,X1)),X3)) ),
cls_InterI_0,
[final] ).
cnf(i_0_1179,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OInf__class_OInf(X4,tc_fun(X1,tc_bool)))) ),
cls_InterD_0,
[final] ).
cnf(i_0_1180,axiom,
( hAPP(X1,X2) = c_HOL_Oundefined(X3)
| hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X4,X3)),X1),c_FuncSet_Oextensional(X5,X4,X3))) ),
cls_extensional__arb_0,
[final] ).
cnf(i_0_1181,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
| ~ hBOOL(hAPP(X3,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X2)) ),
cls_bexCI_0,
[final] ).
cnf(i_0_1182,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__inf__le_0,
[final] ).
cnf(i_0_1183,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__sup__le_0,
[final] ).
cnf(i_0_1184,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X2,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(X3,X1,X2)),X1)) ),
cls_Union__disjoint_1,
[final] ).
cnf(i_0_1185,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__on__Un_0,
[final] ).
cnf(i_0_1186,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__on__Un_1,
[final] ).
cnf(i_0_1187,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X4),X3)) ),
cls_UnionI_0,
[final] ).
cnf(i_0_1188,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))) ),
cls_UnE_0,
[final] ).
cnf(i_0_1189,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X2,tc_bool)),X4),X1)) ),
cls_Union__disjoint_0,
[final] ).
cnf(i_0_1190,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)))) ),
cls_DiffE_1,
[final] ).
cnf(i_0_1191,axiom,
( c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
cls_UN__upper_0,
[final] ).
cnf(i_0_1192,axiom,
( c_lessequals(X4,X1,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Un__Int__assoc__eq_0,
[final] ).
cnf(i_0_1193,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
cls_inj__on__diff_0,
[final] ).
cnf(i_0_1194,axiom,
( X1 = X5
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
cls_Pair__eq_0,
[final] ).
cnf(i_0_1195,axiom,
( X2 = X6
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
cls_Pair__eq_1,
[final] ).
cnf(i_0_1196,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4)) ),
cls_inj__onD_0,
[final] ).
cnf(i_0_1197,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
cls_inj__on__def_0,
[final] ).
cnf(i_0_1198,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
cls_inj__on__iff_0,
[final] ).
cnf(i_0_1199,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
| ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
cls_inj__on__contraD_0,
[final] ).
cnf(i_0_1200,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
cls_subset__inj__on_0,
[final] ).
cnf(i_0_1201,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
cls_DiffE_0,
[final] ).
cnf(i_0_1202,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))) ),
cls_IntE_0,
[final] ).
cnf(i_0_1203,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))) ),
inference(rw,[status(thm)],[i_0_817,c_0_689]),
[final] ).
cnf(i_0_1204,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)))) ),
cls_IntE_1,
[final] ).
cnf(i_0_1205,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X2,X3,X1))) ),
cls_InterI_1,
[final] ).
cnf(i_0_1206,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
cls_rev__bexI_0,
[final] ).
cnf(i_0_1207,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
cls_bexE_0,
[final] ).
cnf(i_0_1208,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
| ~ hBOOL(hAPP(X3,X4)) ),
cls_bexI_0,
[final] ).
cnf(i_0_1209,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X3,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
| ~ hBOOL(hAPP(X3,X4)) ),
cls_bexCI_2,
[final] ).
cnf(i_0_1210,axiom,
( c_lessequals(hAPP(X2,X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
cls_le__SUPI_0,
[final] ).
cnf(i_0_1211,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_IntI_0,
[final] ).
cnf(i_0_1212,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_Int__iff_2,
[final] ).
cnf(i_0_1213,axiom,
( hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_ballE_0,
[final] ).
cnf(i_0_1214,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = X4,
cls_UN__extend__simps_I2_J_0,
[final] ).
cnf(i_0_1215,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
cls_INT__extend__simps_I4_J_0,
[final] ).
cnf(i_0_1216,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
cls_UN__extend__simps_I3_J_0,
[final] ).
cnf(i_0_1217,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X2,X3,X1)))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool)))) ),
cls_UnionE_0,
[final] ).
cnf(i_0_1218,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| X1 = X2 ),
cls_complete__Lin_0,
[final] ).
cnf(i_0_1219,axiom,
( hAPP(c_FuncSet_Orestrict(X1,X2,X3,X4),X5) = hAPP(X1,X5)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2)) ),
cls_restrict__apply_0,
[final] ).
cnf(i_0_1220,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_DiffI_0,
[final] ).
cnf(i_0_1221,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_Diff__iff_2,
[final] ).
cnf(i_0_1222,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)))) ),
inference(rw,[status(thm)],[i_0_818,c_0_689]),
[final] ).
cnf(i_0_1223,axiom,
( hAPP(X2,X5) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X1)) ),
cls_UNION__empty__conv_I2_J_0,
[final] ).
cnf(i_0_1224,axiom,
( hAPP(X3,X5) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X2)) ),
cls_UNION__empty__conv_I1_J_0,
[final] ).
cnf(i_0_1225,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2)) ),
cls_bexCI_1,
[final] ).
cnf(i_0_1226,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(rw,[status(thm)],[i_0_819,c_0_689]),
[final] ).
cnf(i_0_1227,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Diff__mono_0,
[final] ).
cnf(i_0_1228,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__mono_0,
[final] ).
cnf(i_0_1229,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Int__mono_0,
[final] ).
cnf(i_0_1230,axiom,
( hAPP(c_FuncSet_Orestrict(X1,X2,X3,X4),X5) = c_HOL_Oundefined(X4)
| hBOOL(hAPP(hAPP(c_in(X3),X5),X2)) ),
cls_restrict__apply_1,
[final] ).
cnf(i_0_1231,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X1),c_Set_OPow(X2,X3))) ),
cls_PowD_0,
[final] ).
cnf(i_0_1232,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
cls_Diff__Int2_0,
[final] ).
cnf(i_0_1233,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__Diff_0,
[final] ).
cnf(i_0_1234,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__Int__distrib2_0,
[final] ).
cnf(i_0_1235,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Diff__Int__distrib2_0,
[final] ).
cnf(i_0_1236,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Int__Un__distrib2_0,
[final] ).
cnf(i_0_1237,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Diff__Un_0,
[final] ).
cnf(i_0_1238,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Diff__Int_0,
[final] ).
cnf(i_0_1239,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Un__Int__distrib_0,
[final] ).
cnf(i_0_1240,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Diff__Int__distrib_0,
[final] ).
cnf(i_0_1241,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Int__Un__distrib_0,
[final] ).
cnf(i_0_1242,axiom,
( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X2,tc_bool)),X3),X1)) ),
cls_Inter__lower_0,
[final] ).
cnf(i_0_1243,axiom,
( c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,tc_bool)),X1),X2)) ),
cls_Union__upper_0,
[final] ).
cnf(i_0_1244,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)),
cls_CHAINED_0,
[final] ).
cnf(i_0_1245,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
cls_linear__alt_0,
[final] ).
cnf(i_0_1246,axiom,
( hAPP(hAPP(X5,X1),X3) = hAPP(hAPP(X5,X4),X3)
| hAPP(X1,hAPP(X2,X3)) != hAPP(X4,hAPP(X2,X3))
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X5,X2,X6,X7) ),
cls_update__accessor__congruence__foldE_0,
[final] ).
cnf(i_0_1247,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Diff__subset__conv_1,
[final] ).
cnf(i_0_1248,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_Diff__subset__conv_0,
[final] ).
cnf(i_0_1249,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
cls_sup1E_0,
[final] ).
cnf(i_0_1250,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))) ),
cls_ord_OlessThan__iff_0,
[final] ).
cnf(i_0_1251,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))) ),
cls_ord_OatMost__iff_0,
[final] ).
cnf(i_0_1252,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))) ),
cls_ord_OgreaterThan__iff_0,
[final] ).
cnf(i_0_1253,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X1,tc_fun(X3,tc_bool)) ),
cls_Un__Int__assoc__eq_1,
[final] ).
cnf(i_0_1254,axiom,
( hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1))) ),
cls_ballE_1,
[final] ).
cnf(i_0_1255,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_UnCI_1,
[final] ).
cnf(i_0_1256,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
cls_UnCI_0,
[final] ).
cnf(i_0_1257,plain,
hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) = X2,
inference(rw,[status(thm)],[i_0_820,c_0_689]),
[final] ).
cnf(i_0_1258,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
cls_inf1E_0,
[final] ).
cnf(i_0_1259,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
cls_inf1E_1,
[final] ).
cnf(i_0_1260,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool),X3),X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_UN__empty2_0,
[final] ).
cnf(i_0_1261,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
cls_vimage__const_0,
[final] ).
cnf(i_0_1262,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Set_OPow(X2,X1))),
cls_Pow__bottom_0,
[final] ).
cnf(i_0_1263,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_injD_0,
[final] ).
cnf(i_0_1264,axiom,
( hAPP(hAPP(X4,X1),X3) = X3
| hAPP(X1,hAPP(X2,X3)) != hAPP(X2,X3)
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X4,X2,X5,X6) ),
cls_update__accessor__noopE_0,
[final] ).
cnf(i_0_1265,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(X1,X2,X3),X1,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Union__disjoint_2,
[final] ).
cnf(i_0_1266,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_COMBK(X2,tc_fun(X3,tc_bool),X1),X1,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_UN__constant_0,
[final] ).
cnf(i_0_1267,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_disjoint__iff__not__equal_0,
[final] ).
cnf(i_0_1268,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
cls_vimage__const_1,
[final] ).
cnf(i_0_1269,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_double__diff_0,
[final] ).
cnf(i_0_1270,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__least_0,
[final] ).
cnf(i_0_1271,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_2,
[final] ).
cnf(i_0_1272,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
cls_Int__subset__iff_2,
[final] ).
cnf(i_0_1273,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
cls_Int__greatest_0,
[final] ).
cnf(i_0_1274,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X3,X1)))
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_PowI_0,
[final] ).
cnf(i_0_1275,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Int__Diff_0,
[final] ).
cnf(i_0_1276,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__assoc_0,
[final] ).
cnf(i_0_1277,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Int__assoc_0,
[final] ).
cnf(i_0_1278,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Un__left__commute_0,
[final] ).
cnf(i_0_1279,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Int__left__commute_0,
[final] ).
cnf(i_0_1280,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
cls_rev__bexI_1,
[final] ).
cnf(i_0_1281,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
cls_bexE_1,
[final] ).
cnf(i_0_1282,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ hBOOL(hAPP(X1,X4)) ),
cls_bexI_1,
[final] ).
cnf(i_0_1283,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexCI__1__1(X2,X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ hBOOL(hAPP(X1,X4)) ),
cls_bexCI_3,
[final] ).
cnf(i_0_1284,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
cls_empty__is__image_0,
[final] ).
cnf(i_0_1285,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
cls_image__is__empty_0,
[final] ).
cnf(i_0_1286,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,tc_fun(X3,tc_bool)) = X2
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
cls_UN__constant_1,
[final] ).
cnf(i_0_1287,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OlessThan(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X4)) ),
cls_ord_OlessThan__iff_1,
[final] ).
cnf(i_0_1288,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThan(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
cls_ord_OgreaterThan__iff_1,
[final] ).
cnf(i_0_1289,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatMost(X3,X4,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X4)) ),
cls_ord_OatMost__iff_1,
[final] ).
cnf(i_0_1290,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_0,
[final] ).
cnf(i_0_1291,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_1,
[final] ).
cnf(i_0_1292,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_0,
[final] ).
cnf(i_0_1293,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_1,
[final] ).
cnf(i_0_1294,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib2_0,
[final] ).
cnf(i_0_1295,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib2_0,
[final] ).
cnf(i_0_1296,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib1_0,
[final] ).
cnf(i_0_1297,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib1_0,
[final] ).
cnf(i_0_1298,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_image__constant__conv_0,
[final] ).
cnf(i_0_1299,axiom,
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
cls_inf1I_0,
[final] ).
cnf(i_0_1300,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
cls_set__mp_0,
[final] ).
cnf(i_0_1301,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
cls_subsetD_0,
[final] ).
cnf(i_0_1302,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
cls_set__rev__mp_0,
[final] ).
cnf(i_0_1303,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
cls_subset__iff_0,
[final] ).
cnf(i_0_1304,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBK(X3,X1,X4),X4,X1) = X3
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_SUP__const_0,
[final] ).
cnf(i_0_1305,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
cls_Un__Diff__Int_0,
[final] ).
cnf(i_0_1306,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X1,X4)) ),
cls_sup1CI_1,
[final] ).
cnf(i_0_1307,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_sup1CI_0,
[final] ).
cnf(i_0_1308,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
cls_bex__empty_0,
[final] ).
cnf(i_0_1309,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
cls_ball__empty_0,
[final] ).
cnf(i_0_1310,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Diff__partition_0,
[final] ).
cnf(i_0_1311,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
cls_Pow__top_0,
[final] ).
cnf(i_0_1312,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__sup__iff_2,
[final] ).
cnf(i_0_1313,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_sup__least_0,
[final] ).
cnf(i_0_1314,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI_0,
[final] ).
cnf(i_0_1315,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_inf__greatest_0,
[final] ).
cnf(i_0_1316,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__inf__iff_2,
[final] ).
cnf(i_0_1317,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__infI_0,
[final] ).
cnf(i_0_1318,axiom,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
cls_emptyE_0,
[final] ).
cnf(i_0_1319,axiom,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
cls_empty__iff_0,
[final] ).
cnf(i_0_1320,axiom,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
cls_ex__in__conv_0,
[final] ).
cnf(i_0_1321,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__assoc_0,
[final] ).
cnf(i_0_1322,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I6_J_0,
[final] ).
cnf(i_0_1323,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I2_J_0,
[final] ).
cnf(i_0_1324,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__assoc_0,
[final] ).
cnf(i_0_1325,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__commute_0,
[final] ).
cnf(i_0_1326,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I7_J_0,
[final] ).
cnf(i_0_1327,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I3_J_0,
[final] ).
cnf(i_0_1328,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__commute_0,
[final] ).
cnf(i_0_1329,axiom,
c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
cls_vimage__UNIV_0,
[final] ).
cnf(i_0_1330,axiom,
c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_vimage__empty_0,
[final] ).
cnf(i_0_1331,axiom,
c_Relation_OImage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_Image__empty_0,
[final] ).
cnf(i_0_1332,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_image__empty_0,
[final] ).
cnf(i_0_1333,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
cls_empty__is__image_1,
[final] ).
cnf(i_0_1334,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_subset__trans_0,
[final] ).
cnf(i_0_1335,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
cls_le__eqI_1,
[final] ).
cnf(i_0_1336,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__eqI_0,
[final] ).
cnf(i_0_1337,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
cls_le__supE_0,
[final] ).
cnf(i_0_1338,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
cls_le__sup__iff_0,
[final] ).
cnf(i_0_1339,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
cls_le__supE_1,
[final] ).
cnf(i_0_1340,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
cls_le__sup__iff_1,
[final] ).
cnf(i_0_1341,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
cls_le__inf__iff_0,
[final] ).
cnf(i_0_1342,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
cls_le__infE_0,
[final] ).
cnf(i_0_1343,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
cls_le__inf__iff_1,
[final] ).
cnf(i_0_1344,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
cls_le__infE_1,
[final] ).
cnf(i_0_1345,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
cls_Diff__idemp_0,
[final] ).
cnf(i_0_1346,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
cls_Un__Diff__cancel2_0,
[final] ).
cnf(i_0_1347,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
cls_Un__Diff__cancel_0,
[final] ).
cnf(i_0_1348,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
cls_Un__left__absorb_0,
[final] ).
cnf(i_0_1349,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
cls_Int__left__absorb_0,
[final] ).
cnf(i_0_1350,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
cls_inj__on__empty_0,
[final] ).
cnf(i_0_1351,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_Diff__disjoint_0,
[final] ).
cnf(i_0_1352,axiom,
( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X1),X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2)) ),
cls_Inf__lower_0,
[final] ).
cnf(i_0_1353,axiom,
( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_Sup__upper_0,
[final] ).
cnf(i_0_1354,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__infI1_0,
[final] ).
cnf(i_0_1355,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_le__infI2_0,
[final] ).
cnf(i_0_1356,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__supI1_0,
[final] ).
cnf(i_0_1357,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI2_0,
[final] ).
cnf(i_0_1358,axiom,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
cls_vimage__ident_0,
[final] ).
cnf(i_0_1359,axiom,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
cls_image__ident_0,
[final] ).
cnf(i_0_1360,axiom,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
cls_inj__on__id2_0,
[final] ).
cnf(i_0_1361,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_equalityI_0,
[final] ).
cnf(i_0_1362,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_set__eq__subset_2,
[final] ).
cnf(i_0_1363,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Diff__triv_0,
[final] ).
cnf(i_0_1364,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
cls_le__funD_0,
[final] ).
cnf(i_0_1365,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__trans_0,
[final] ).
cnf(i_0_1366,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I6_J_0,
[final] ).
cnf(i_0_1367,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
cls_subset__empty_0,
[final] ).
cnf(i_0_1368,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(X1,X2,X3),tc_fun(X3,tc_bool)) = X1
| ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
cls_Union__quotient_0,
[final] ).
cnf(i_0_1369,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
cls_Diff__subset_0,
[final] ).
cnf(i_0_1370,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
cls_Int__lower1_0,
[final] ).
cnf(i_0_1371,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
cls_Int__lower2_0,
[final] ).
cnf(i_0_1372,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper1_0,
[final] ).
cnf(i_0_1373,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper2_0,
[final] ).
cnf(i_0_1374,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__idem_0,
[final] ).
cnf(i_0_1375,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I8_J_0,
[final] ).
cnf(i_0_1376,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I4_J_0,
[final] ).
cnf(i_0_1377,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__idem_0,
[final] ).
cnf(i_0_1378,axiom,
( c_lessequals(c_Inductive_Ocomplete__lattice__class_Olfp(X2,X1),X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_lessequals(hAPP(X2,X3),X3,X1) ),
cls_lfp__lowerbound_0,
[final] ).
cnf(i_0_1379,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0,
[final] ).
cnf(i_0_1380,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
cls_UNIV__I_0,
[final] ).
cnf(i_0_1381,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Un__empty_2,
[final] ).
cnf(i_0_1382,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
cls_subset__Un__eq_1,
[final] ).
cnf(i_0_1383,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
cls_Un__absorb2_0,
[final] ).
cnf(i_0_1384,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Un__absorb1_0,
[final] ).
cnf(i_0_1385,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Int__absorb2_0,
[final] ).
cnf(i_0_1386,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
cls_Int__absorb1_0,
[final] ).
cnf(i_0_1387,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_rev__predicate1D_0,
[final] ).
cnf(i_0_1388,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0,
[final] ).
cnf(i_0_1389,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
cls_mem__def_0,
[final] ).
cnf(i_0_1390,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
inference(rw,[status(thm)],[i_0_821,c_0_689]),
[final] ).
cnf(i_0_1391,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Un__empty_0,
[final] ).
cnf(i_0_1392,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Un__empty_1,
[final] ).
cnf(i_0_1393,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__eq__iff_2,
[final] ).
cnf(i_0_1394,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__antisym_0,
[final] ).
cnf(i_0_1395,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_order__antisym__conv_0,
[final] ).
cnf(i_0_1396,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
cls_subset__empty_1,
[final] ).
cnf(i_0_1397,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
cls_eq__eqI_1,
[final] ).
cnf(i_0_1398,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
cls_eq__eqI_0,
[final] ).
cnf(i_0_1399,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_1400,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_sup__inf__absorb_0,
[final] ).
cnf(i_0_1401,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__absorb_0,
[final] ).
cnf(i_0_1402,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I1_J_0,
[final] ).
cnf(i_0_1403,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le1_0,
[final] ).
cnf(i_0_1404,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I2_J_0,
[final] ).
cnf(i_0_1405,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le2_0,
[final] ).
cnf(i_0_1406,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge1_0,
[final] ).
cnf(i_0_1407,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I3_J_0,
[final] ).
cnf(i_0_1408,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge2_0,
[final] ).
cnf(i_0_1409,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I4_J_0,
[final] ).
cnf(i_0_1410,axiom,
c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
cls_converse__converse_0,
[final] ).
cnf(i_0_1411,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_empty__Diff_0,
[final] ).
cnf(i_0_1412,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
cls_Un__UNIV__left_0,
[final] ).
cnf(i_0_1413,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__left_0,
[final] ).
cnf(i_0_1414,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__UNIV_0,
[final] ).
cnf(i_0_1415,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
cls_Un__UNIV__right_0,
[final] ).
cnf(i_0_1416,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Int__empty__right_0,
[final] ).
cnf(i_0_1417,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
cls_Un__commute_0,
[final] ).
cnf(i_0_1418,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
cls_Int__commute_0,
[final] ).
cnf(i_0_1419,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_1420,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(rw,[status(thm)],[i_0_822,c_0_689]),
[final] ).
cnf(i_0_1421,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
cls_le__iff__sup_1,
[final] ).
cnf(i_0_1422,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
cls_le__iff__inf_1,
[final] ).
cnf(i_0_1423,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_sup__absorb1_0,
[final] ).
cnf(i_0_1424,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__sup_0,
[final] ).
cnf(i_0_1425,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__inf_0,
[final] ).
cnf(i_0_1426,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_inf__absorb2_0,
[final] ).
cnf(i_0_1427,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0,
[final] ).
cnf(i_0_1428,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
cls_Un__empty__left_0,
[final] ).
cnf(i_0_1429,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
cls_Int__UNIV__left_0,
[final] ).
cnf(i_0_1430,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Diff__empty_0,
[final] ).
cnf(i_0_1431,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Un__empty__right_0,
[final] ).
cnf(i_0_1432,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Int__UNIV__right_0,
[final] ).
cnf(i_0_1433,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
cls_empty__subsetI_0,
[final] ).
cnf(i_0_1434,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_subset__UNIV_0,
[final] ).
cnf(i_0_1435,axiom,
( c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBK(X2,X1,X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_lfp__const_0,
[final] ).
cnf(i_0_1436,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_ATP__Linkup_OCOMBK__def_0,
[final] ).
cnf(i_0_1437,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0,
[final] ).
cnf(i_0_1438,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_1439,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__commute_0,
[final] ).
cnf(i_0_1440,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I5_J_0,
[final] ).
cnf(i_0_1441,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I1_J_0,
[final] ).
cnf(i_0_1442,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__commute_0,
[final] ).
cnf(i_0_1443,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_1444,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq1_0,
[final] ).
cnf(i_0_1445,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq1_0,
[final] ).
cnf(i_0_1446,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq2_0,
[final] ).
cnf(i_0_1447,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq2_0,
[final] ).
cnf(i_0_1448,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__cancel_0,
[final] ).
cnf(i_0_1449,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rw,[status(thm)],[i_0_823,c_0_689]),
[final] ).
cnf(i_0_1450,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rw,[status(thm)],[i_0_824,c_0_689]),
[final] ).
cnf(i_0_1451,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_UNIV__not__empty_0,
[final] ).
cnf(i_0_1452,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0,
[final] ).
cnf(i_0_1453,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Int__absorb_0,
[final] ).
cnf(i_0_1454,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_1455,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_1456,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__UNIV_0,
[final] ).
cnf(i_0_1457,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__empty_0,
[final] ).
cnf(i_0_1458,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__UNIV_0,
[final] ).
cnf(i_0_1459,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__empty_0,
[final] ).
cnf(i_0_1460,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__left_0,
[final] ).
cnf(i_0_1461,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__left_0,
[final] ).
cnf(i_0_1462,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__right_0,
[final] ).
cnf(i_0_1463,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__right_0,
[final] ).
cnf(i_0_1464,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__left_0,
[final] ).
cnf(i_0_1465,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__left_0,
[final] ).
cnf(i_0_1466,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__right_0,
[final] ).
cnf(i_0_1467,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Otop__class_Otop(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__right_0,
[final] ).
cnf(i_0_1468,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0,
[final] ).
cnf(i_0_1469,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__greatest_0,
[final] ).
cnf(i_0_1470,axiom,
c_Complete__Lattice_OSup__class_OSup(c_Set_OPow(X1,X2),tc_fun(X2,tc_bool)) = X1,
cls_Union__Pow__eq_0,
[final] ).
cnf(i_0_1471,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__idem_0,
[final] ).
cnf(i_0_1472,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__idem_0,
[final] ).
cnf(i_0_1473,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1474,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1475,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_1476,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
clsarity_fun__Orderings_Obot,
[final] ).
cnf(i_0_1477,axiom,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
| ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
clsarity_fun__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_1478,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_1479,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
clsarity_fun__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1480,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
clsarity_fun__Orderings_Otop,
[final] ).
cnf(i_0_1481,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
clsarity_fun__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1482,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_1483,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1484,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_1485,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1486,axiom,
hAPP(c_COMBI(X1),X2) = X2,
cls_ATP__Linkup_OCOMBI__def_0,
[final] ).
cnf(i_0_1487,axiom,
hAPP(c_COMBI(X1),X2) = X2,
cls_COMBI__def_0,
[final] ).
cnf(i_0_1488,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
cls_u_0,
[final] ).
cnf(i_0_1489,axiom,
c_Arrow__Order__Mirabelle_OIIA(v_F),
cls_assms_I3_J_0,
[final] ).
cnf(i_0_1490,axiom,
class_HOL_Oord(tc_nat),
clsarity_nat__HOL_Oord,
[final] ).
cnf(i_0_1491,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_1492,axiom,
class_Orderings_Obot(tc_nat),
clsarity_nat__Orderings_Obot,
[final] ).
cnf(i_0_1493,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot,
[final] ).
cnf(i_0_1494,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_1495,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
clsarity_bool__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_1496,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_1497,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_1498,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
clsarity_nat__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1499,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
clsarity_bool__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1500,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop,
[final] ).
cnf(i_0_1501,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1502,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_1503,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_1504,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
clsarity_nat__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1505,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1506,axiom,
class_Lattices_Olattice(tc_nat),
clsarity_nat__Lattices_Olattice,
[final] ).
cnf(i_0_1507,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_1508,axiom,
class_Lattices_Olower__semilattice(tc_nat),
clsarity_nat__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1509,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1510,axiom,
X1 = X1 ).
cnf(i_0_1511,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1512,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1513,axiom,
( X1 != X2
| c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).
cnf(i_0_1514,axiom,
( X1 != X2
| c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).
cnf(i_0_1515,axiom,
( X1 != X2
| c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).
cnf(i_0_1516,axiom,
( X1 != X2
| c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).
cnf(i_0_1517,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).
cnf(i_0_1518,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).
cnf(i_0_1519,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).
cnf(i_0_1520,axiom,
( X1 != X2
| c_Relation_OImage(X1,X3,X4,X5) = c_Relation_OImage(X2,X3,X4,X5) ) ).
cnf(i_0_1521,axiom,
( X1 != X2
| c_Relation_OImage(X3,X1,X4,X5) = c_Relation_OImage(X3,X2,X4,X5) ) ).
cnf(i_0_1522,axiom,
( X1 != X2
| c_Relation_OImage(X3,X4,X1,X5) = c_Relation_OImage(X3,X4,X2,X5) ) ).
cnf(i_0_1523,axiom,
( X1 != X2
| c_Relation_OImage(X3,X4,X5,X1) = c_Relation_OImage(X3,X4,X5,X2) ) ).
cnf(i_0_1524,axiom,
( X1 != X2
| c_FuncSet_Orestrict(X1,X3,X4,X5) = c_FuncSet_Orestrict(X2,X3,X4,X5) ) ).
cnf(i_0_1525,axiom,
( X1 != X2
| c_FuncSet_Orestrict(X3,X1,X4,X5) = c_FuncSet_Orestrict(X3,X2,X4,X5) ) ).
cnf(i_0_1526,axiom,
( X1 != X2
| c_FuncSet_Orestrict(X3,X4,X1,X5) = c_FuncSet_Orestrict(X3,X4,X2,X5) ) ).
cnf(i_0_1527,axiom,
( X1 != X2
| c_FuncSet_Orestrict(X3,X4,X5,X1) = c_FuncSet_Orestrict(X3,X4,X5,X2) ) ).
cnf(i_0_1528,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1529,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1530,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1531,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1532,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1533,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1534,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1535,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1536,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1537,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1538,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1539,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1540,axiom,
( X1 != X2
| c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).
cnf(i_0_1541,axiom,
( X1 != X2
| c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).
cnf(i_0_1542,axiom,
( X1 != X2
| c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).
cnf(i_0_1543,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1544,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1545,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1546,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1547,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1548,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1549,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1550,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1551,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1552,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,X5) ) ).
cnf(i_0_1553,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X2,X4,X5) ) ).
cnf(i_0_1554,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X2,X5) ) ).
cnf(i_0_1555,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X2) ) ).
cnf(i_0_1556,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).
cnf(i_0_1557,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).
cnf(i_0_1558,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_1559,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_1560,axiom,
( X1 != X2
| c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).
cnf(i_0_1561,axiom,
( X1 != X2
| c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).
cnf(i_0_1562,axiom,
( X1 != X2
| c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).
cnf(i_0_1563,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_1564,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_1565,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_1566,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_1567,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1568,axiom,
( X1 != X2
| c_Product__Type_OSigma(X1,X3,X4,X5) = c_Product__Type_OSigma(X2,X3,X4,X5) ) ).
cnf(i_0_1569,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X1,X4,X5) = c_Product__Type_OSigma(X3,X2,X4,X5) ) ).
cnf(i_0_1570,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X4,X1,X5) = c_Product__Type_OSigma(X3,X4,X2,X5) ) ).
cnf(i_0_1571,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X4,X5,X1) = c_Product__Type_OSigma(X3,X4,X5,X2) ) ).
cnf(i_0_1572,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X1,X3,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1573,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X1,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1574,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X1,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1575,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X1,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1576,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1577,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X3,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X2,X3,X4,X5) ) ).
cnf(i_0_1578,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X1,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X2,X4,X5) ) ).
cnf(i_0_1579,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X1,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X2,X5) ) ).
cnf(i_0_1580,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X2) ) ).
cnf(i_0_1581,axiom,
( X1 != X2
| c_HOL_Oundefined(X1) = c_HOL_Oundefined(X2) ) ).
cnf(i_0_1582,axiom,
( X1 != X2
| c_Inductive_Ocomplete__lattice__class_Olfp(X1,X3) = c_Inductive_Ocomplete__lattice__class_Olfp(X2,X3) ) ).
cnf(i_0_1583,axiom,
( X1 != X2
| c_Inductive_Ocomplete__lattice__class_Olfp(X3,X1) = c_Inductive_Ocomplete__lattice__class_Olfp(X3,X2) ) ).
cnf(i_0_1584,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1585,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X3,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1586,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X1,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1587,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X1,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1588,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X1,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1589,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X1,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).
cnf(i_0_1590,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X1,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).
cnf(i_0_1591,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X1,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).
cnf(i_0_1592,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X1,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).
cnf(i_0_1593,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X1)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).
cnf(i_0_1594,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1595,axiom,
( X1 != X2
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X1,X3,X4,X5)
| c_Record_Oiso__tuple__update__accessor__cong__assist(X2,X3,X4,X5) ) ).
cnf(i_0_1596,axiom,
( X1 != X2
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X1,X4,X5)
| c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X2,X4,X5) ) ).
cnf(i_0_1597,axiom,
( X1 != X2
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X4,X1,X5)
| c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X4,X2,X5) ) ).
cnf(i_0_1598,axiom,
( X1 != X2
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X4,X5,X1)
| c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X4,X5,X2) ) ).
cnf(i_0_1599,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1600,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1601,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1602,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1603,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1604,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1605,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1606,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1607,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1608,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1609,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1610,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1611,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1612,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1613,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X1,X3,X4)
| c_Equiv__Relations_Oequiv(X2,X3,X4) ) ).
cnf(i_0_1614,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X3,X1,X4)
| c_Equiv__Relations_Oequiv(X3,X2,X4) ) ).
cnf(i_0_1615,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X3,X4,X1)
| c_Equiv__Relations_Oequiv(X3,X4,X2) ) ).
cnf(i_0_1616,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1617,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1618,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1619,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1620,axiom,
( X1 != X2
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| c_Arrow__Order__Mirabelle_OIIA(X2) ) ).
cnf(i_0_1621,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_1622,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X1,X4,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_1623,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_1624,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X1,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_1625,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X1,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_1626,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X1)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_1627,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1628,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1629,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1630,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X1,X3,X4,X5,X6)
| c_Fun_Obij__betw(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1631,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X3,X1,X4,X5,X6)
| c_Fun_Obij__betw(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1632,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X3,X4,X1,X5,X6)
| c_Fun_Obij__betw(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1633,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X3,X4,X5,X1,X6)
| c_Fun_Obij__betw(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1634,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X3,X4,X5,X6,X1)
| c_Fun_Obij__betw(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1635,axiom,
( X1 != X2
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X1)
| c_Arrow__Order__Mirabelle_Ounanimity(X2) ) ).
cnf(i_0_1510_001,axiom,
X1 = X1 ).
cnf(i_0_1511_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1512_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1513_004,axiom,
( X1 != X2
| c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).
cnf(i_0_1514_005,axiom,
( X1 != X2
| c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).
cnf(i_0_1515_006,axiom,
( X1 != X2
| c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).
cnf(i_0_1516_007,axiom,
( X1 != X2
| c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).
cnf(i_0_1517_008,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).
cnf(i_0_1518_009,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).
cnf(i_0_1519_010,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).
cnf(i_0_1520_011,axiom,
( X1 != X2
| c_Relation_OImage(X1,X3,X4,X5) = c_Relation_OImage(X2,X3,X4,X5) ) ).
cnf(i_0_1521_012,axiom,
( X1 != X2
| c_Relation_OImage(X3,X1,X4,X5) = c_Relation_OImage(X3,X2,X4,X5) ) ).
cnf(i_0_1522_013,axiom,
( X1 != X2
| c_Relation_OImage(X3,X4,X1,X5) = c_Relation_OImage(X3,X4,X2,X5) ) ).
cnf(i_0_1523_014,axiom,
( X1 != X2
| c_Relation_OImage(X3,X4,X5,X1) = c_Relation_OImage(X3,X4,X5,X2) ) ).
cnf(i_0_1524_015,axiom,
( X1 != X2
| c_FuncSet_Orestrict(X1,X3,X4,X5) = c_FuncSet_Orestrict(X2,X3,X4,X5) ) ).
cnf(i_0_1525_016,axiom,
( X1 != X2
| c_FuncSet_Orestrict(X3,X1,X4,X5) = c_FuncSet_Orestrict(X3,X2,X4,X5) ) ).
cnf(i_0_1526_017,axiom,
( X1 != X2
| c_FuncSet_Orestrict(X3,X4,X1,X5) = c_FuncSet_Orestrict(X3,X4,X2,X5) ) ).
cnf(i_0_1527_018,axiom,
( X1 != X2
| c_FuncSet_Orestrict(X3,X4,X5,X1) = c_FuncSet_Orestrict(X3,X4,X5,X2) ) ).
cnf(i_0_1528_019,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1529_020,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1530_021,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1531_022,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1532_023,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1533_024,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1534_025,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1535_026,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1536_027,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1537_028,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1538_029,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1539_030,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1540_031,axiom,
( X1 != X2
| c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).
cnf(i_0_1541_032,axiom,
( X1 != X2
| c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).
cnf(i_0_1542_033,axiom,
( X1 != X2
| c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).
cnf(i_0_1543_034,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1544_035,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1545_036,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1546_037,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1547_038,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1548_039,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1549_040,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1550_041,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1551_042,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1552_043,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,X5) ) ).
cnf(i_0_1553_044,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X2,X4,X5) ) ).
cnf(i_0_1554_045,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X2,X5) ) ).
cnf(i_0_1555_046,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X2) ) ).
cnf(i_0_1556_047,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).
cnf(i_0_1557_048,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).
cnf(i_0_1558_049,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_1559_050,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_1560_051,axiom,
( X1 != X2
| c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).
cnf(i_0_1561_052,axiom,
( X1 != X2
| c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).
cnf(i_0_1562_053,axiom,
( X1 != X2
| c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).
cnf(i_0_1563_054,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_1564_055,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_1565_056,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_1566_057,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_1567_058,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1568_059,axiom,
( X1 != X2
| c_Product__Type_OSigma(X1,X3,X4,X5) = c_Product__Type_OSigma(X2,X3,X4,X5) ) ).
cnf(i_0_1569_060,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X1,X4,X5) = c_Product__Type_OSigma(X3,X2,X4,X5) ) ).
cnf(i_0_1570_061,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X4,X1,X5) = c_Product__Type_OSigma(X3,X4,X2,X5) ) ).
cnf(i_0_1571_062,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X4,X5,X1) = c_Product__Type_OSigma(X3,X4,X5,X2) ) ).
cnf(i_0_1572_063,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X1,X3,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1573_064,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X1,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1574_065,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X1,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1575_066,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X1,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1576_067,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1577_068,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X3,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X2,X3,X4,X5) ) ).
cnf(i_0_1578_069,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X1,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X2,X4,X5) ) ).
cnf(i_0_1579_070,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X1,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X2,X5) ) ).
cnf(i_0_1580_071,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X2) ) ).
cnf(i_0_1581_072,axiom,
( X1 != X2
| c_HOL_Oundefined(X1) = c_HOL_Oundefined(X2) ) ).
cnf(i_0_1582_073,axiom,
( X1 != X2
| c_Inductive_Ocomplete__lattice__class_Olfp(X1,X3) = c_Inductive_Ocomplete__lattice__class_Olfp(X2,X3) ) ).
cnf(i_0_1583_074,axiom,
( X1 != X2
| c_Inductive_Ocomplete__lattice__class_Olfp(X3,X1) = c_Inductive_Ocomplete__lattice__class_Olfp(X3,X2) ) ).
cnf(i_0_1584_075,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1585_076,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X3,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1586_077,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X1,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1587_078,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X1,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1588_079,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X1,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).
cnf(i_0_1589_080,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X1,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).
cnf(i_0_1590_081,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X1,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).
cnf(i_0_1591_082,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X1,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).
cnf(i_0_1592_083,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X1,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).
cnf(i_0_1593_084,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X1)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).
cnf(i_0_1594_085,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1595_086,axiom,
( X1 != X2
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X1,X3,X4,X5)
| c_Record_Oiso__tuple__update__accessor__cong__assist(X2,X3,X4,X5) ) ).
cnf(i_0_1596_087,axiom,
( X1 != X2
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X1,X4,X5)
| c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X2,X4,X5) ) ).
cnf(i_0_1597_088,axiom,
( X1 != X2
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X4,X1,X5)
| c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X4,X2,X5) ) ).
cnf(i_0_1598_089,axiom,
( X1 != X2
| ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X4,X5,X1)
| c_Record_Oiso__tuple__update__accessor__cong__assist(X3,X4,X5,X2) ) ).
cnf(i_0_1599_090,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1600_091,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1601_092,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1602_093,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1603_094,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1604_095,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1605_096,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1606_097,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1607_098,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1608_099,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1609_100,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1610_101,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1611_102,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1612_103,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1613_104,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X1,X3,X4)
| c_Equiv__Relations_Oequiv(X2,X3,X4) ) ).
cnf(i_0_1614_105,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X3,X1,X4)
| c_Equiv__Relations_Oequiv(X3,X2,X4) ) ).
cnf(i_0_1615_106,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X3,X4,X1)
| c_Equiv__Relations_Oequiv(X3,X4,X2) ) ).
cnf(i_0_1616_107,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1617_108,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1618_109,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1619_110,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1620_111,axiom,
( X1 != X2
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| c_Arrow__Order__Mirabelle_OIIA(X2) ) ).
cnf(i_0_1621_112,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_1622_113,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X1,X4,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_1623_114,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_1624_115,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X1,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_1625_116,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X1,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_1626_117,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X1)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_1627_118,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1628_119,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1629_120,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1630_121,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X1,X3,X4,X5,X6)
| c_Fun_Obij__betw(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1631_122,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X3,X1,X4,X5,X6)
| c_Fun_Obij__betw(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1632_123,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X3,X4,X1,X5,X6)
| c_Fun_Obij__betw(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1633_124,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X3,X4,X5,X1,X6)
| c_Fun_Obij__betw(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1634_125,axiom,
( X1 != X2
| ~ c_Fun_Obij__betw(X3,X4,X5,X6,X1)
| c_Fun_Obij__betw(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1635_126,axiom,
( X1 != X2
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X1)
| c_Arrow__Order__Mirabelle_Ounanimity(X2) ) ).
cnf(i_0_1636,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[893]) ).
cnf(i_0_1637,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[894]) ).
cnf(i_0_1638,plain,
( X1 = X1
| X2 = X1 ),
inference(equality_inference,[],[895]) ).
cnf(i_0_1639,plain,
( X1 = X1
| X1 = X2 ),
inference(equality_inference,[],[896]) ).
cnf(i_0_1640,plain,
( ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X4,X4,X3,X3)),X2)) ),
inference(equality_inference,[],[898]) ).
cnf(i_0_1641,plain,
( ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),c_Pair(X4,X4,X3,X3)),X2)) ),
inference(equality_inference,[],[906]) ).
cnf(i_0_1642,plain,
( X1 = X1
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X2,X3)),X1),c_FuncSet_Oextensional(X4,X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X2,X3)),X1),c_FuncSet_Oextensional(X4,X2,X3))) ),
inference(equality_inference,[],[911]) ).
cnf(i_0_1643,plain,
( X1 = X1
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Set_Oimage(X3,X4,X5,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Set_Oimage(X3,X4,X5,X2))) ),
inference(equality_inference,[],[982]) ).
cnf(i_0_1644,plain,
( X1 = X1
| hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
| hBOOL(hAPP(hAPP(c_in(X2),X3),X1)) ),
inference(equality_inference,[],[1019]) ).
cnf(i_0_1645,plain,
X1 = X1,
inference(equality_inference,[],[1024]) ).
cnf(i_0_1646,plain,
X1 = X1,
inference(equality_inference,[],[1118]) ).
cnf(i_0_1647,plain,
( X1 = X1
| ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X4)) ),
inference(equality_inference,[],[1137]) ).
cnf(i_0_1648,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[1143]) ).
cnf(i_0_1649,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[1155]) ).
cnf(i_0_1650,plain,
X1 = X1,
inference(equality_inference,[],[1194]) ).
cnf(i_0_1651,plain,
X1 = X1,
inference(equality_inference,[],[1195]) ).
cnf(i_0_1652,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,X3,X4,X5)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3)) ),
inference(equality_inference,[],[1199]) ).
cnf(i_0_1653,plain,
( ~ c_Record_Oiso__tuple__update__accessor__cong__assist(X1,X2,X3,X4)
| hAPP(hAPP(X1,X5),X6) = hAPP(hAPP(X1,X5),X6) ),
inference(equality_inference,[],[1246]) ).
cnf(i_0_1654,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[1263]) ).
cnf(i_0_1655,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1397]) ).
cnf(i_0_1656,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1398]) ).
cnf(i_0_1657,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[1449]) ).
cnf(i_0_1658,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[1450]) ).
cnf(i_0_1659,plain,
c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X2,tc_nat) = c_Finite__Set_Osetsum(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,tc_nat),
inference(scs_inference,[],[i_0_1320,i_0_975]) ).
cnf(i_0_1660,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,tc_nat) = c_Finite__Set_Osetsum(X4,X3,X1,tc_nat) ),
inference(rename_variables,[],[i_0_975]) ).
cnf(i_0_1661,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X1)),c_Pair(hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),X2,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X1)),c_Product__Type_OSigma(c_Arrow__Order__Mirabelle_OLin,X3,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X1))),
inference(scs_inference,[],[i_0_1005,i_0_1320,i_0_975,i_0_980]) ).
cnf(i_0_1662,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X4)),c_Pair(X2,X5,X1,X4)),c_Product__Type_OSigma(X3,X6,X1,X4))) ),
inference(rename_variables,[],[i_0_980]) ).
cnf(i_0_1663,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) = c_Arrow__Order__Mirabelle_Omktop(X3,X1),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991]) ).
cnf(i_0_1664,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X3 ),
inference(rename_variables,[],[i_0_991]) ).
cnf(i_0_1665,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),X1,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018]) ).
cnf(i_0_1666,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1018]) ).
cnf(i_0_1667,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(X4,X1),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_HOL_Ominus__class_Ominus(X3,c_Arrow__Order__Mirabelle_Omktop(X4,X1),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023]) ).
cnf(i_0_1668,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1023]) ).
cnf(i_0_1669,plain,
c_Set_Oimage(c_Fun_Ofun__upd(X1,hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),X2,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X3),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X3) = c_Set_Oimage(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X3),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050]) ).
cnf(i_0_1670,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Set_Oimage(c_Fun_Ofun__upd(X4,X2,X5,X1,X6),X3,X1,X6) = c_Set_Oimage(X4,X3,X1,X6) ),
inference(rename_variables,[],[i_0_1050]) ).
cnf(i_0_1671,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(X4,X1),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Arrow__Order__Mirabelle_Omktop(X4,X1),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065]) ).
cnf(i_0_1672,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1065]) ).
cnf(i_0_1673,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omktop(X1,X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omktop(X1,X2),X4,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066]) ).
cnf(i_0_1674,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1066]) ).
cnf(i_0_1675,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089]) ).
cnf(i_0_1676,plain,
( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(rename_variables,[],[i_0_1089]) ).
cnf(i_0_1677,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Set_Ovimage(v_F,c_Arrow__Order__Mirabelle_OLin,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105]) ).
cnf(i_0_1678,plain,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_1679,plain,
hAPP(c_FuncSet_Orestrict(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X2),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))) = c_HOL_Oundefined(X2),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230]) ).
cnf(i_0_1680,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hAPP(c_FuncSet_Orestrict(X4,X3,X1,X5),X2) = c_HOL_Oundefined(X5) ),
inference(rename_variables,[],[i_0_1230]) ).
cnf(i_0_1681,plain,
c_Set_Ovimage(c_COMBK(hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X1),c_Arrow__Order__Mirabelle_OLin,X1,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268]) ).
cnf(i_0_1682,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1268]) ).
cnf(i_0_1683,plain,
hBOOL(hAPP(c_FuncSet_Oextensional(X1,X2,X3),c_FuncSet_Orestrict(X4,X1,X2,X3))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390]) ).
cnf(i_0_1684,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(X3,X2)) ),
inference(rename_variables,[],[i_0_1390]) ).
cnf(i_0_1685,plain,
~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420]) ).
cnf(i_0_1686,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(rename_variables,[],[i_0_1420]) ).
cnf(i_0_1687,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_Relation_OImage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1)),c_Equiv__Relations_Oquotient(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool)),X2,X1))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868]) ).
cnf(i_0_1688,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_Relation_OImage(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1)),c_Equiv__Relations_Oquotient(X3,X4,X1))) ),
inference(rename_variables,[],[i_0_868]) ).
cnf(i_0_1689,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2)),c_FuncSet_OPi(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,X1,X2))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884]) ).
cnf(i_0_1690,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1320]) ).
cnf(i_0_1691,plain,
( hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XrestrictI__1__1(X2,X3,X4,X1,X5)),X2))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X5)),c_FuncSet_Orestrict(X4,X2,X1,X5)),c_FuncSet_OPi(X2,X3,X1,X5))) ),
inference(rename_variables,[],[i_0_884]) ).
cnf(i_0_1692,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,X1,X2))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888]) ).
cnf(i_0_1693,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1320]) ).
cnf(i_0_1694,plain,
( hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X4,X1,X5)),X2))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X5)),X4),c_FuncSet_OPi(X2,X3,X1,X5))) ),
inference(rename_variables,[],[i_0_888]) ).
cnf(i_0_1695,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Relation_Oconverse(c_Arrow__Order__Mirabelle_Omktop(X3,X2),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959]) ).
cnf(i_0_1696,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),X5))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),c_Relation_Oconverse(X5,X1,X2))) ),
inference(rename_variables,[],[i_0_959]) ).
cnf(i_0_1697,plain,
hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),c_Relation_Oconverse(c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X2,X1),tc_bool)),X2,X1))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1380,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961]) ).
cnf(i_0_1698,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1380]) ).
cnf(i_0_1699,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),c_Pair(X3,X4,X1,X2)),X5))
| hBOOL(hAPP(hAPP(c_in(tc_prod(X2,X1)),c_Pair(X4,X3,X2,X1)),c_Relation_Oconverse(X5,X1,X2))) ),
inference(rename_variables,[],[i_0_961]) ).
cnf(i_0_1700,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1380,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962]) ).
cnf(i_0_1701,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X3 ),
inference(rename_variables,[],[i_0_962]) ).
cnf(i_0_1702,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X1))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1380,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965]) ).
cnf(i_0_1703,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1320]) ).
cnf(i_0_1704,plain,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,X1,X4),X5)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X5),c_Set_Oimage(X3,X2,X1,X4))) ),
inference(rename_variables,[],[i_0_965]) ).
cnf(i_0_1705,plain,
hAPP(c_FuncSet_Orestrict(c_COMBB(X1,X2,X3,X4,tc_fun(X5,X6)),c_FuncSet_Oextensional(X7,X5,X6),tc_fun(X5,X6),X4),c_FuncSet_Orestrict(X8,X7,X5,X6)) = hAPP(X1,hAPP(X2,c_FuncSet_Orestrict(X8,X7,X5,X6))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1380,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974]) ).
cnf(i_0_1706,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hAPP(c_FuncSet_Orestrict(c_COMBB(X4,X5,X6,X7,X1),X3,X1,X7),X2) = hAPP(X4,hAPP(X5,X2)) ),
inference(rename_variables,[],[i_0_974]) ).
cnf(i_0_1707,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(X1,X2)),tc_fun(X1,X2),tc_fun(X1,X2),tc_bool),c_FuncSet_Orestrict(X3,X4,X1,X2)),X5,tc_fun(tc_fun(X1,X2),tc_bool)),c_FuncSet_Oextensional(X4,X1,X2),tc_fun(tc_fun(X1,X2),tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(X1,X2)),tc_fun(X1,X2),tc_fun(X1,X2),tc_bool),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_Lattices_Olower__semilattice__class_Oinf(X5,c_FuncSet_Oextensional(X4,X1,X2),tc_fun(tc_fun(X1,X2),tc_bool)),tc_fun(tc_fun(X1,X2),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1380,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016]) ).
cnf(i_0_1708,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1016]) ).
cnf(i_0_1709,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_FuncSet_Oextensional(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(X2,X3)),tc_fun(X2,X3),tc_fun(X2,X3),tc_bool),c_FuncSet_Orestrict(X4,X1,X2,X3)),X5,tc_fun(tc_fun(X2,X3),tc_bool)),tc_fun(tc_fun(X2,X3),tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(X2,X3)),tc_fun(X2,X3),tc_fun(X2,X3),tc_bool),c_FuncSet_Orestrict(X4,X1,X2,X3)),c_Lattices_Olower__semilattice__class_Oinf(c_FuncSet_Oextensional(X1,X2,X3),X5,tc_fun(tc_fun(X2,X3),tc_bool)),tc_fun(tc_fun(X2,X3),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1380,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017]) ).
cnf(i_0_1710,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1017]) ).
cnf(i_0_1711,plain,
c_lessequals(c_Set_Oimage(c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),c_Set_Oimage(X2,X1,X3,X4),X4,X3),X1,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1380,i_0_882,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027]) ).
cnf(i_0_1712,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| c_lessequals(c_Set_Oimage(X3,X4,X1,X2),X5,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1027]) ).
cnf(i_0_1713,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Equiv__Relations_Oquotient(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X3,X1))),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_882,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056]) ).
cnf(i_0_1714,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1320]) ).
cnf(i_0_1715,plain,
( hBOOL(hAPP(hAPP(c_in(X1),c_List_Osko__Equiv__Relations__XquotientE__1__1(X2,X3,X4,X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X3),c_Equiv__Relations_Oquotient(X2,X4,X1))) ),
inference(rename_variables,[],[i_0_1056]) ).
cnf(i_0_1716,plain,
hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4))) = hAPP(X1,X4),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_882,i_0_1146,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057]) ).
cnf(i_0_1717,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oimage(X3,X4,X5,X1)))
| hAPP(X3,hAPP(c_Hilbert__Choice_Oinv__into(X4,X3,X5,X1),X2)) = X2 ),
inference(rename_variables,[],[i_0_1057]) ).
cnf(i_0_1718,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(X1,X2)),tc_fun(X1,X2),tc_fun(X1,X2),tc_bool),c_FuncSet_Orestrict(X3,X4,X1,X2)),X5,tc_fun(tc_fun(X1,X2),tc_bool)),c_FuncSet_Oextensional(X4,X1,X2),tc_fun(tc_fun(X1,X2),tc_bool)) = c_HOL_Ominus__class_Ominus(X5,c_FuncSet_Oextensional(X4,X1,X2),tc_fun(tc_fun(X1,X2),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_882,i_0_1146,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061]) ).
cnf(i_0_1719,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1061]) ).
cnf(i_0_1720,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),hAPP(X2,c_FuncSet_Orestrict(X3,X4,X5,X6))),c_Set_Oimage(X2,c_FuncSet_Oextensional(X4,X5,X6),tc_fun(X5,X6),X1),tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_FuncSet_Oextensional(X4,X5,X6),tc_fun(X5,X6),X1),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_882,i_0_1146,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095]) ).
cnf(i_0_1721,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X5,X3,X1,X4) ),
inference(rename_variables,[],[i_0_1095]) ).
cnf(i_0_1722,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(v_Lba____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_882,i_0_1146,i_0_1244,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099]) ).
cnf(i_0_1723,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(rename_variables,[],[i_0_1099]) ).
cnf(i_0_1724,plain,
hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_COMBC(c_in(X2),X2,tc_fun(X2,tc_bool),tc_bool),X1,X3),hAPP(c_COMBC(c_in(X2),X2,tc_fun(X2,tc_bool),tc_bool),X4)) = X4,
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_882,i_0_1146,i_0_1244,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118]) ).
cnf(i_0_1725,plain,
( hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) != hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_1118]) ).
cnf(i_0_1726,plain,
c_Set_Oimage(c_COMBK(X1,X2,tc_fun(X3,X4)),c_FuncSet_Oextensional(X5,X3,X4),tc_fun(X3,X4),X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_882,i_0_1146,i_0_1244,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120]) ).
cnf(i_0_1727,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Set_Oimage(c_COMBK(X4,X5,X1),X3,X1,X5) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1120]) ).
cnf(i_0_1728,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121]) ).
cnf(i_0_1729,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1379]) ).
cnf(i_0_1730,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1731,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(v_Lba____,X1)),c_Arrow__Order__Mirabelle_OLin)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123]) ).
cnf(i_0_1732,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(X1,X2)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(rename_variables,[],[i_0_1123]) ).
cnf(i_0_1733,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(v_Lba____,X1)),c_Arrow__Order__Mirabelle_OLin)),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124]) ).
cnf(i_0_1734,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(X1,X2)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_1735,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(scs_inference,[],[i_0_1005,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126]) ).
cnf(i_0_1736,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_1737,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
inference(rename_variables,[],[i_0_1126]) ).
cnf(i_0_1738,plain,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X5,tc_fun(X3,tc_bool)),X3,X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131]) ).
cnf(i_0_1739,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Set_Oimage(c_COMBK(X3,X4,X2),X1,X2,X4) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1131]) ).
cnf(i_0_1740,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_OPow(hAPP(X3,X2),X4),X1,tc_fun(X4,tc_bool)))),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1311,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140]) ).
cnf(i_0_1741,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
inference(rename_variables,[],[i_0_1311]) ).
cnf(i_0_1742,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
inference(rename_variables,[],[i_0_1140]) ).
cnf(i_0_1743,plain,
hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,c_FuncSet_Orestrict(X3,X4,X5,X6))),c_Set_Oimage(X2,c_FuncSet_Oextensional(X4,X5,X6),tc_fun(X5,X6),X1))),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1311,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150]) ).
cnf(i_0_1744,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4))) ),
inference(rename_variables,[],[i_0_1150]) ).
cnf(i_0_1745,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(X1,X2)),tc_fun(X1,X2),tc_fun(X1,X2),tc_bool),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2),tc_fun(tc_fun(X1,X2),tc_bool)) = c_FuncSet_Oextensional(X4,X1,X2),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1311,i_0_1030,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153]) ).
cnf(i_0_1746,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)) = X3 ),
inference(rename_variables,[],[i_0_1153]) ).
cnf(i_0_1747,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,hAPP(c_fequal(X2),hAPP(X1,X3)),X4,X5),X3)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167]) ).
cnf(i_0_1748,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(rename_variables,[],[i_0_1443]) ).
cnf(i_0_1749,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_1167]) ).
cnf(i_0_1750,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,c_FuncSet_Orestrict(X2,X3,X4,X5)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_FuncSet_Oextensional(X3,X4,X5),X1,tc_fun(X4,X5),tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_FuncSet_Oextensional(X3,X4,X5),X1,tc_fun(X4,X5),tc_fun(X6,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174]) ).
cnf(i_0_1751,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1174]) ).
cnf(i_0_1752,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_bool),tc_bool)),tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184]) ).
cnf(i_0_1753,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1320]) ).
cnf(i_0_1754,plain,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(X2,X3,X1)),X3))
| c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1184]) ).
cnf(i_0_1755,plain,
c_lessequals(hAPP(X1,c_FuncSet_Orestrict(X2,X3,X4,X5)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_FuncSet_Oextensional(X3,X4,X5),X1,tc_fun(X4,X5),tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191]) ).
cnf(i_0_1756,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1191]) ).
cnf(i_0_1757,plain,
hAPP(c_FuncSet_Orestrict(X1,c_FuncSet_Oextensional(X2,X3,X4),tc_fun(X3,X4),X5),c_FuncSet_Orestrict(X6,X2,X3,X4)) = hAPP(X1,c_FuncSet_Orestrict(X6,X2,X3,X4)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219]) ).
cnf(i_0_1758,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hAPP(c_FuncSet_Orestrict(X4,X3,X1,X5),X2) = hAPP(X4,X2) ),
inference(rename_variables,[],[i_0_1219]) ).
cnf(i_0_1759,plain,
c_lessequals(c_Complete__Lattice_OInf__class_OInf(c_FuncSet_Oextensional(X1,X2,tc_bool),tc_fun(X2,tc_bool)),c_FuncSet_Orestrict(X3,X1,X2,tc_bool),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242]) ).
cnf(i_0_1760,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1761,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),X3))
| c_lessequals(c_Complete__Lattice_OInf__class_OInf(X3,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1242]) ).
cnf(i_0_1762,plain,
c_lessequals(c_FuncSet_Orestrict(X1,X2,X3,tc_bool),c_Complete__Lattice_OSup__class_OSup(c_FuncSet_Oextensional(X2,X3,tc_bool),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1760,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243]) ).
cnf(i_0_1763,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1764,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),X3))
| c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1243]) ).
cnf(i_0_1765,plain,
c_Set_Ovimage(c_COMBK(c_FuncSet_Orestrict(X1,X2,X3,X4),tc_fun(X3,X4),X5),c_FuncSet_Oextensional(X2,X3,X4),X5,tc_fun(X3,X4)) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261]) ).
cnf(i_0_1766,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Set_Ovimage(c_COMBK(X2,X1,X4),X3,X4,X1) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1261]) ).
cnf(i_0_1767,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_COMBK(X4,tc_fun(X5,tc_bool),X1),X1,tc_fun(X5,tc_bool)) = X4,
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286]) ).
cnf(i_0_1768,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,tc_fun(X4,tc_bool),X2),X2,tc_fun(X4,tc_bool)) = X3 ),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1769,plain,
hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Orestrict(X2,X3,X4,X5)),c_SetInterval_Oord_OlessThan(c_in(tc_fun(X4,X5)),c_FuncSet_Oextensional(X3,X4,X5),X1))),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287]) ).
cnf(i_0_1770,plain,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))) ),
inference(rename_variables,[],[i_0_1287]) ).
cnf(i_0_1771,plain,
hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Oextensional(X2,X3,X4)),c_SetInterval_Oord_OgreaterThan(c_in(tc_fun(X3,X4)),c_FuncSet_Orestrict(X5,X2,X3,X4),X1))),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288]) ).
cnf(i_0_1772,plain,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))) ),
inference(rename_variables,[],[i_0_1288]) ).
cnf(i_0_1773,plain,
hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Orestrict(X2,X3,X4,X5)),c_SetInterval_Oord_OatMost(c_in(tc_fun(X4,X5)),c_FuncSet_Oextensional(X3,X4,X5),X1))),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289]) ).
cnf(i_0_1774,plain,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))) ),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_1775,plain,
~ c_lessequals(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1115,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310]) ).
cnf(i_0_1776,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1115]) ).
cnf(i_0_1777,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1310]) ).
cnf(i_0_1778,plain,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(scs_inference,[],[i_0_1005,i_0_1351,i_0_1115,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363]) ).
cnf(i_0_1779,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1 ),
inference(rename_variables,[],[i_0_1363]) ).
cnf(i_0_1780,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1351,i_0_1115,i_0_1776,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367]) ).
cnf(i_0_1781,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1367]) ).
cnf(i_0_1782,plain,
c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382]) ).
cnf(i_0_1783,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2
| c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1382]) ).
cnf(i_0_1784,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391]) ).
cnf(i_0_1785,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = X4,
inference(rename_variables,[],[i_0_1214]) ).
cnf(i_0_1786,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1391]) ).
cnf(i_0_1787,plain,
~ hBOOL(hAPP(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4)),
inference(scs_inference,[],[i_0_1005,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449]) ).
cnf(i_0_1788,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_1449]) ).
cnf(i_0_1789,plain,
~ hBOOL(hAPP(c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1),X3)),
inference(scs_inference,[],[i_0_1005,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450]) ).
cnf(i_0_1790,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1359]) ).
cnf(i_0_1791,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_1450]) ).
cnf(i_0_1792,plain,
c_FuncSet_Orestrict(c_COMBI(X1),c_Set_Oimage(X2,X3,X4,X1),X1,X1) = c_FuncSet_Orestrict(c_COMBB(X2,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X1),c_Set_Oimage(X2,X3,X4,X1),X1,X4),X4,X1,X1),c_Set_Oimage(X2,X3,X4,X1),X1,X1),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511]) ).
cnf(i_0_1793,plain,
c_lessequals(c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163]) ).
cnf(i_0_1794,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1163]) ).
cnf(i_0_1795,plain,
c_lessequals(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165]) ).
cnf(i_0_1796,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1165]) ).
cnf(i_0_1797,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1372,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290]) ).
cnf(i_0_1798,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1372]) ).
cnf(i_0_1799,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1290]) ).
cnf(i_0_1800,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1372,i_0_1798,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291]) ).
cnf(i_0_1801,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1372]) ).
cnf(i_0_1802,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1803,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1372,i_0_1798,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292]) ).
cnf(i_0_1804,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1369]) ).
cnf(i_0_1805,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1292]) ).
cnf(i_0_1806,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293]) ).
cnf(i_0_1807,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1369]) ).
cnf(i_0_1808,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1809,plain,
c_lessequals(X1,X1,tc_nat),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473]) ).
cnf(i_0_1810,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1473]) ).
cnf(i_0_1811,plain,
c_lessequals(X1,X1,tc_bool),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474]) ).
cnf(i_0_1812,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1474]) ).
cnf(i_0_1813,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_in(X3),X4,X5,X6,X7,X8,tc_fun(X9,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832]) ).
cnf(i_0_1814,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1320]) ).
cnf(i_0_1815,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
inference(rename_variables,[],[i_0_1311]) ).
cnf(i_0_1816,plain,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
inference(rename_variables,[],[i_0_832]) ).
cnf(i_0_1817,plain,
c_Finite__Set_Ofold__graph(X1,X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),hAPP(hAPP(X1,X4),X2),X3,X5),
inference(scs_inference,[],[i_0_1005,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875]) ).
cnf(i_0_1818,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1320]) ).
cnf(i_0_1819,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Finite__Set_Ofold__graph(X4,X5,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),hAPP(hAPP(X4,X2),X6),X1,X7)
| ~ c_Finite__Set_Ofold__graph(X4,X5,X3,X6,X1,X7) ),
inference(rename_variables,[],[i_0_875]) ).
cnf(i_0_1820,plain,
~ c_Equiv__Relations_Oequiv(c_Arrow__Order__Mirabelle_OLin,c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010]) ).
cnf(i_0_1821,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1380]) ).
cnf(i_0_1822,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X4,X1) ),
inference(rename_variables,[],[i_0_1010]) ).
cnf(i_0_1823,plain,
~ c_Equiv__Relations_Oequiv(c_Arrow__Order__Mirabelle_OLin,c_Relation_Oconverse(c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011]) ).
cnf(i_0_1824,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X3,X1,X1)),X4))
| hBOOL(hAPP(hAPP(c_in(X1),X3),X5))
| ~ c_Equiv__Relations_Oequiv(X5,X4,X1) ),
inference(rename_variables,[],[i_0_1011]) ).
cnf(i_0_1825,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf)),
inference(scs_inference,[],[i_0_1005,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042]) ).
cnf(i_0_1826,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X2),hAPP(X3,X6)),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X6),X4)) ),
inference(rename_variables,[],[i_0_1042]) ).
cnf(i_0_1827,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBI(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)))),c_Set_Oimage(c_COMBI(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070]) ).
cnf(i_0_1828,plain,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
inference(rename_variables,[],[i_0_1360]) ).
cnf(i_0_1829,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
| ~ c_Fun_Oinj__on(X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4) ),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1830,plain,
~ c_lessequals(c_Set_Oimage(v_F,c_Set_OPow(c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1),tc_fun(X1,tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1815,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154]) ).
cnf(i_0_1831,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
inference(rename_variables,[],[i_0_1311]) ).
cnf(i_0_1832,plain,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X6))
| ~ c_lessequals(c_Set_Oimage(X2,X6,X5,X1),X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1154]) ).
cnf(i_0_1833,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Complete__Lattice_OInf__class_OInf(c_Set_OPow(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179]) ).
cnf(i_0_1834,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
inference(rename_variables,[],[i_0_1311]) ).
cnf(i_0_1835,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),c_Complete__Lattice_OInf__class_OInf(X3,tc_fun(X1,tc_bool))))
| hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_1836,plain,
hAPP(c_FuncSet_Orestrict(X1,c_Arrow__Order__Mirabelle_Omktop(X2,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),c_Pair(X3,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) = c_HOL_Oundefined(X4),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1030,i_0_1443,i_0_997,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180]) ).
cnf(i_0_1837,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1838,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X4)),X5),c_FuncSet_Oextensional(X3,X1,X4)))
| hAPP(X5,X2) = c_HOL_Oundefined(X4) ),
inference(rename_variables,[],[i_0_1180]) ).
cnf(i_0_1839,plain,
hBOOL(hAPP(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),c_Arrow__Order__Mirabelle_OLin),c_Arrow__Order__Mirabelle_OLin)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1030,i_0_1443,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249]) ).
cnf(i_0_1840,plain,
hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_999]) ).
cnf(i_0_1841,plain,
( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(X1,X4)) ),
inference(rename_variables,[],[i_0_1249]) ).
cnf(i_0_1842,plain,
~ c_lessequals(c_Set_OPow(hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1443,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303]) ).
cnf(i_0_1843,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
inference(rename_variables,[],[i_0_1311]) ).
cnf(i_0_1844,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1303]) ).
cnf(i_0_1845,plain,
~ c_lessequals(hAPP(c_fequal(X1),c_Arrow__Order__Mirabelle_OLin),hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1443,i_0_1748,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388]) ).
cnf(i_0_1846,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(rename_variables,[],[i_0_1443]) ).
cnf(i_0_1847,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1388]) ).
cnf(i_0_1848,plain,
hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2)) != hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1443,i_0_1748,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607]) ).
cnf(i_0_1849,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(c_COMBB(c_COMBI(X2),c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X3,X4,X2,X1),c_Set_Oimage(X4,X3,X2,X1),X1,X2),X2,X2,X1),c_Set_Oimage(X4,X3,X2,X1),X1,X2)),c_FuncSet_OPi(c_Set_Oimage(X4,X3,X2,X1),c_COMBK(X3,tc_fun(X2,tc_bool),X1),X1,X2))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1443,i_0_1748,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860]) ).
cnf(i_0_1850,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X3,X4,X2,X1),c_Set_Oimage(X4,X3,X2,X1),X1,X2)),c_FuncSet_OPi(c_Set_Oimage(X4,X3,X2,X1),c_COMBK(X3,tc_fun(X2,tc_bool),X1),X1,X2))),
inference(rename_variables,[],[i_0_882]) ).
cnf(i_0_1851,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X6)),c_FuncSet_Orestrict(c_COMBB(X7,X3,X2,X6,X1),X4,X1,X6)),c_FuncSet_OPi(X4,c_COMBK(X8,tc_fun(X6,tc_bool),X1),X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X2,X6)),X7),c_FuncSet_OPi(X5,c_COMBK(X8,tc_fun(X6,tc_bool),X2),X2,X6))) ),
inference(rename_variables,[],[i_0_860]) ).
cnf(i_0_1852,plain,
c_lessequals(c_FuncSet_Oextensional(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(X2,X3)),tc_fun(X2,X3),tc_fun(X2,X3),tc_bool),c_FuncSet_Orestrict(X4,X1,X2,X3)),c_HOL_Ominus__class_Ominus(c_FuncSet_Oextensional(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(X2,X3)),tc_fun(X2,X3),tc_fun(X2,X3),tc_bool),c_FuncSet_Orestrict(X4,X1,X2,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X2,X3),tc_bool)),tc_fun(tc_fun(X2,X3),tc_bool)),tc_fun(tc_fun(X2,X3),tc_bool)),tc_fun(tc_fun(X2,X3),tc_bool)),tc_fun(tc_fun(X2,X3),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1443,i_0_1748,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908]) ).
cnf(i_0_1853,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_1854,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_lessequals(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_908]) ).
cnf(i_0_1855,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1443,i_0_1748,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917]) ).
cnf(i_0_1856,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_997]) ).
cnf(i_0_1857,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_1858,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_lessequals(c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_917]) ).
cnf(i_0_1859,plain,
c_FuncSet_Orestrict(c_COMBB(c_FuncSet_Orestrict(c_COMBI(X1),X2,X1,X1),c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X2,X3,X1,X4),c_Set_Oimage(X3,X2,X1,X4),X4,X1),X1,X1,X4),c_Set_Oimage(X3,X2,X1,X4),X4,X1) = c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X2,X3,X1,X4),c_Set_Oimage(X3,X2,X1,X4),X4,X1),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1443,i_0_1748,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1850,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927]) ).
cnf(i_0_1860,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X3,X4,X2,X1),c_Set_Oimage(X4,X3,X2,X1),X1,X2)),c_FuncSet_OPi(c_Set_Oimage(X4,X3,X2,X1),c_COMBK(X3,tc_fun(X2,tc_bool),X1),X1,X2))),
inference(rename_variables,[],[i_0_882]) ).
cnf(i_0_1861,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1862,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_Oextensional(X4,X1,X2)))
| c_FuncSet_Orestrict(c_COMBB(c_FuncSet_Orestrict(c_COMBI(X2),X5,X2,X2),X3,X2,X2,X1),X4,X1,X2) = X3 ),
inference(rename_variables,[],[i_0_927]) ).
cnf(i_0_1863,plain,
c_FuncSet_Orestrict(c_COMBB(c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),c_FuncSet_Orestrict(c_COMBI(X4),c_Set_Oimage(X2,X1,X3,X4),X4,X4),X4,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3) = c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1443,i_0_1748,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928]) ).
cnf(i_0_1864,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X3,X4,X2,X1),c_Set_Oimage(X4,X3,X2,X1),X1,X2)),c_FuncSet_OPi(c_Set_Oimage(X4,X3,X2,X1),c_COMBK(X3,tc_fun(X2,tc_bool),X1),X1,X2))),
inference(rename_variables,[],[i_0_882]) ).
cnf(i_0_1865,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1866,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,c_COMBK(X5,tc_fun(X2,tc_bool),X1),X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_Oextensional(X4,X1,X2)))
| c_FuncSet_Orestrict(c_COMBB(X3,c_FuncSet_Orestrict(c_COMBI(X1),X4,X1,X1),X1,X2,X1),X4,X1,X2) = X3 ),
inference(rename_variables,[],[i_0_928]) ).
cnf(i_0_1867,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(c_Arrow__Order__Mirabelle_Omktop(X5,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1443,i_0_1748,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966]) ).
cnf(i_0_1868,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X1))),
inference(rename_variables,[],[i_0_1030]) ).
cnf(i_0_1869,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X4 ),
inference(rename_variables,[],[i_0_966]) ).
cnf(i_0_1870,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),X4,tc_fun(X2,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Omktop(X5,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967]) ).
cnf(i_0_1871,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X1))),
inference(rename_variables,[],[i_0_1030]) ).
cnf(i_0_1872,plain,
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X2 = X4 ),
inference(rename_variables,[],[i_0_967]) ).
cnf(i_0_1873,plain,
hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Orestrict(X2,X3,X4,X5)),c_SetInterval_Oord_OatLeastLessThan(c_fequal(X6),c_in(tc_fun(X4,X5)),c_FuncSet_Orestrict(X2,X3,X4,X5),c_FuncSet_Oextensional(X3,X4,X5),X1))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981]) ).
cnf(i_0_1874,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(rename_variables,[],[i_0_1443]) ).
cnf(i_0_1875,plain,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X5),X2))
| hBOOL(hAPP(hAPP(c_in(X6),X2),c_SetInterval_Oord_OatLeastLessThan(X4,X1,X5,X3,X6))) ),
inference(rename_variables,[],[i_0_981]) ).
cnf(i_0_1876,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Relation_OImage(c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X3,X1),tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X5,tc_fun(X3,tc_bool)),X3,X1))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985]) ).
cnf(i_0_1877,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1380]) ).
cnf(i_0_1878,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X4)),c_Pair(X2,X5,X1,X4)),X6))
| hBOOL(hAPP(hAPP(c_in(X4),X5),c_Relation_OImage(X6,X3,X1,X4))) ),
inference(rename_variables,[],[i_0_985]) ).
cnf(i_0_1879,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(v_Lba____,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),X4,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988]) ).
cnf(i_0_1880,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X1,X3,X4)))
| X3 = X4 ),
inference(rename_variables,[],[i_0_988]) ).
cnf(i_0_1881,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(v_Lba____,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),X4,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989]) ).
cnf(i_0_1882,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X1,X3,X4)))
| X3 = X4 ),
inference(rename_variables,[],[i_0_989]) ).
cnf(i_0_1883,plain,
c_Fun_Oinj__on(c_Fun_Ofun__upd(c_COMBI(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1,hAPP(c_COMBI(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002]) ).
cnf(i_0_1884,plain,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
inference(rename_variables,[],[i_0_1360]) ).
cnf(i_0_1885,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oimage(X3,X4,X5,X1)))
| c_Fun_Oinj__on(c_Fun_Ofun__upd(X3,X6,X2,X5,X1),X4,X5,X1)
| ~ c_Fun_Oinj__on(X3,X4,X5,X1) ),
inference(rename_variables,[],[i_0_1002]) ).
cnf(i_0_1886,plain,
hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(v_Lba____,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043]) ).
cnf(i_0_1887,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3)))
| X2 = X3 ),
inference(rename_variables,[],[i_0_1043]) ).
cnf(i_0_1888,plain,
hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(v_Lba____,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool))))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044]) ).
cnf(i_0_1889,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3)))
| X3 = X2 ),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_1890,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(X1,X2)),tc_fun(X1,X2),tc_fun(X1,X2),tc_bool),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2),tc_fun(tc_fun(X1,X2),tc_bool)),c_FuncSet_Oextensional(X4,X1,X2),tc_fun(tc_fun(X1,X2),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060]) ).
cnf(i_0_1891,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_1892,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1060]) ).
cnf(i_0_1893,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),hAPP(c_COMBI(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2))),hAPP(c_COMBK(c_FuncSet_Oextensional(X4,X1,X2),tc_fun(tc_fun(X1,X2),tc_bool),tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068]) ).
cnf(i_0_1894,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X1)),c_COMBI(X1)),c_FuncSet_OPi(X2,c_COMBK(X2,tc_fun(X1,tc_bool),X1),X1,X1))),
inference(rename_variables,[],[i_0_1101]) ).
cnf(i_0_1895,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X3,X6,X1,X4)))
| hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(X6,X2))) ),
inference(rename_variables,[],[i_0_1068]) ).
cnf(i_0_1896,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Obelow(v_Lba____,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),c_Arrow__Order__Mirabelle_OLin)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097]) ).
cnf(i_0_1897,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3 ),
inference(rename_variables,[],[i_0_1097]) ).
cnf(i_0_1898,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Oabove(v_Lba____,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),c_Arrow__Order__Mirabelle_OLin)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098]) ).
cnf(i_0_1899,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3 ),
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1900,plain,
c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_COMBK(c_FuncSet_Oextensional(X4,X5,X6),tc_fun(tc_fun(X5,X6),tc_bool),X7),X7,tc_fun(X5,X6)) != c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_COMBK(c_FuncSet_Oextensional(X4,X5,X6),tc_fun(tc_fun(X5,X6),tc_bool),X7),X7,tc_fun(X5,X6)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137]) ).
cnf(i_0_1901,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Product__Type_OSigma(X4,c_COMBK(X3,tc_fun(X1,tc_bool),X5),X5,X1) != c_Product__Type_OSigma(X6,c_COMBK(X3,tc_fun(X1,tc_bool),X5),X5,X1)
| X4 = X6 ),
inference(rename_variables,[],[i_0_1137]) ).
cnf(i_0_1902,plain,
hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Oextensional(X2,X3,tc_bool)),c_SetInterval_Oord_OgreaterThanLessThan(c_in(tc_fun(X3,tc_bool)),c_FuncSet_Orestrict(X4,X2,X3,tc_bool),c_Set_OPow(c_FuncSet_Oextensional(X2,X3,tc_bool),X3),X1))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151]) ).
cnf(i_0_1903,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
inference(rename_variables,[],[i_0_1311]) ).
cnf(i_0_1904,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1905,plain,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),X2))
| hBOOL(hAPP(hAPP(c_in(X5),X2),c_SetInterval_Oord_OgreaterThanLessThan(X1,X4,X3,X5))) ),
inference(rename_variables,[],[i_0_1151]) ).
cnf(i_0_1906,plain,
hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Oextensional(X2,X3,tc_bool)),c_SetInterval_Oord_OatLeastAtMost(c_in(tc_fun(X3,tc_bool)),c_FuncSet_Orestrict(X4,X2,X3,tc_bool),c_Set_OPow(c_FuncSet_Oextensional(X2,X3,tc_bool),X3),X1))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152]) ).
cnf(i_0_1907,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
inference(rename_variables,[],[i_0_1311]) ).
cnf(i_0_1908,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1909,plain,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),X2))
| hBOOL(hAPP(hAPP(c_in(X5),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X4,X3,X5))) ),
inference(rename_variables,[],[i_0_1152]) ).
cnf(i_0_1910,plain,
c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_OPow(X2,X3),X1,tc_fun(X3,tc_bool),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156]) ).
cnf(i_0_1911,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_1912,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),X6,tc_fun(X5,tc_bool))
| c_lessequals(hAPP(X4,X2),X6,tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_1156]) ).
cnf(i_0_1913,plain,
hAPP(c_Hilbert__Choice_Oinv__into(c_FuncSet_Oextensional(X1,X2,X3),c_COMBI(tc_fun(X2,X3)),tc_fun(X2,X3),tc_fun(X2,X3)),hAPP(c_COMBI(tc_fun(X2,X3)),c_FuncSet_Orestrict(X4,X1,X2,X3))) = c_FuncSet_Orestrict(X4,X1,X2,X3),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173]) ).
cnf(i_0_1914,plain,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
inference(rename_variables,[],[i_0_1360]) ).
cnf(i_0_1915,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hAPP(c_Hilbert__Choice_Oinv__into(X3,X4,X1,X5),hAPP(X4,X2)) = X2
| ~ c_Fun_Oinj__on(X4,X3,X1,X5) ),
inference(rename_variables,[],[i_0_1173]) ).
cnf(i_0_1916,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_Complete__Lattice_OSup__class_OSup(c_Set_OPow(c_FuncSet_Oextensional(X4,X1,X2),tc_fun(X1,X2)),tc_fun(tc_fun(X1,X2),tc_bool)))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187]) ).
cnf(i_0_1917,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
inference(rename_variables,[],[i_0_1311]) ).
cnf(i_0_1918,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),X4),c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool))))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
inference(rename_variables,[],[i_0_1187]) ).
cnf(i_0_1919,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_FuncSet_Orestrict(X1,X2,X3,tc_bool),c_HOL_Ominus__class_Ominus(X4,c_Complete__Lattice_OSup__class_OSup(c_FuncSet_Oextensional(X2,X3,tc_bool),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189]) ).
cnf(i_0_1920,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_FuncSet_Orestrict(X3,X4,X1,X2)),c_FuncSet_Oextensional(X4,X1,X2))),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1921,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1351]) ).
cnf(i_0_1922,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),X3))
| c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X3,tc_fun(X1,tc_bool)),X4,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1189]) ).
cnf(i_0_1923,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_FuncSet_Oextensional(X3,X1,X2),hAPP(c_fequal(X4),c_FuncSet_Orestrict(X5,X3,X1,X2)),tc_fun(X1,X2))),c_FuncSet_Oextensional(X3,X1,X2))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206]) ).
cnf(i_0_1924,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(rename_variables,[],[i_0_1443]) ).
cnf(i_0_1925,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X3,X4,X1)),X3))
| ~ hBOOL(hAPP(X4,X2)) ),
inference(rename_variables,[],[i_0_1206]) ).
cnf(i_0_1926,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),c_ATP__Linkup_Osko__Set__XbexE__1__1(c_FuncSet_Oextensional(X3,X1,X2),hAPP(c_fequal(X4),c_FuncSet_Orestrict(X5,X3,X1,X2)),tc_fun(X1,X2))),c_FuncSet_Oextensional(X3,X1,X2))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207]) ).
cnf(i_0_1927,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(rename_variables,[],[i_0_1443]) ).
cnf(i_0_1928,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(X3,X4,X1)),X3))
| ~ hBOOL(hAPP(X4,X2)) ),
inference(rename_variables,[],[i_0_1207]) ).
cnf(i_0_1929,plain,
c_lessequals(hAPP(X1,c_FuncSet_Orestrict(X2,X3,X4,X5)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_FuncSet_Oextensional(X3,X4,X5),X1,tc_fun(X4,X5),tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210]) ).
cnf(i_0_1930,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5),X5)
| ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
inference(rename_variables,[],[i_0_1210]) ).
cnf(i_0_1931,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_FuncSet_Oextensional(X1,X2,X3),c_FuncSet_Oextensional(X1,X2,X3),tc_fun(tc_fun(X2,X3),tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X2,X3),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267]) ).
cnf(i_0_1932,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1267]) ).
cnf(i_0_1933,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_COMBK(X4,tc_bool,X1),X1,tc_bool) = X4,
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304]) ).
cnf(i_0_1934,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
| ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
inference(rename_variables,[],[i_0_1304]) ).
cnf(i_0_1935,plain,
c_lessequals(c_Complete__Lattice_OInf__class_OInf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_bool),tc_bool,tc_bool,tc_bool),X1),X2,tc_fun(tc_bool,tc_bool)),tc_bool),X1,tc_bool),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352]) ).
cnf(i_0_1936,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_997]) ).
cnf(i_0_1937,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_lessequals(c_Complete__Lattice_OInf__class_OInf(X3,X1),X2,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1938,plain,
c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_bool),tc_bool,tc_bool,tc_bool),X1),X2,tc_fun(tc_bool,tc_bool)),tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1372,i_0_1798,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353]) ).
cnf(i_0_1939,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_997]) ).
cnf(i_0_1940,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(rename_variables,[],[i_0_1353]) ).
cnf(i_0_1941,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_1351,i_0_1115,i_0_1776,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362]) ).
cnf(i_0_1942,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1369]) ).
cnf(i_0_1943,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1433]) ).
cnf(i_0_1944,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_1362]) ).
cnf(i_0_1945,plain,
~ class_OrderedGroup_Oab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397]) ).
cnf(i_0_1946,plain,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_933]) ).
cnf(i_0_1947,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1116]) ).
cnf(i_0_1948,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(rename_variables,[],[i_0_1397]) ).
cnf(i_0_1949,plain,
~ c_Equiv__Relations_Oequiv(c_FuncSet_Oextensional(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(X2,X3),tc_fun(X2,X3)),tc_bool)),tc_fun(X2,X3)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640]) ).
cnf(i_0_1950,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1320]) ).
cnf(i_0_1951,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X2,X2,X1,X1)),X4))
| ~ c_Equiv__Relations_Oequiv(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1640]) ).
cnf(i_0_1952,plain,
c_Set_Ovimage(c_COMBI(X1),c_FuncSet_Orestrict(c_COMBB(X2,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),c_Set_Oimage(X2,X3,X4,X5),X5,X4),X4,X5,X5),c_Set_Oimage(X2,X3,X4,X5),X5,X5),X1,X1) = c_FuncSet_Orestrict(c_COMBI(X5),c_Set_Oimage(X2,X3,X4,X5),X5,X5),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1358,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512]) ).
cnf(i_0_1953,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1358]) ).
cnf(i_0_1954,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_Set_Ovimage(c_COMBI(X3),c_in(X4),X3,X3),X5,X6,X7,X8,X9,tc_fun(X10,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587]) ).
cnf(i_0_1955,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1358]) ).
cnf(i_0_1956,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_in(X3),X4,X5,X6,X7,X8,c_Set_Ovimage(c_COMBI(X9),tc_fun(X10,tc_bool),X9,X9)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593]) ).
cnf(i_0_1957,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1358]) ).
cnf(i_0_1958,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),X1,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),c_Arrow__Order__Mirabelle_OLin,c_Set_Ovimage(c_COMBI(X2),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),X2,X2)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629]) ).
cnf(i_0_1959,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1358]) ).
cnf(i_0_1960,plain,
c_lessequals(c_Set_Ovimage(c_COMBI(X1),c_Set_Oimage(c_COMBI(X1),X2,X1,X1),X1,X1),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100]) ).
cnf(i_0_1961,plain,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
inference(rename_variables,[],[i_0_1360]) ).
cnf(i_0_1962,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_1963,plain,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1100]) ).
cnf(i_0_1964,plain,
~ c_lessequals(hAPP(c_COMBC(c_fequal(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271]) ).
cnf(i_0_1965,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_1966,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1271]) ).
cnf(i_0_1967,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338]) ).
cnf(i_0_1968,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1338]) ).
cnf(i_0_1969,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340]) ).
cnf(i_0_1970,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1340]) ).
cnf(i_0_1971,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X1,tc_bool),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342]) ).
cnf(i_0_1972,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4)
| c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1342]) ).
cnf(i_0_1973,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X2,tc_bool),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344]) ).
cnf(i_0_1974,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4)
| c_lessequals(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1344]) ).
cnf(i_0_1975,plain,
~ c_Equiv__Relations_Oequiv(c_Set_Ovimage(c_COMBI(X1),c_Arrow__Order__Mirabelle_OLin,X1,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613]) ).
cnf(i_0_1976,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1358]) ).
cnf(i_0_1977,plain,
~ c_Equiv__Relations_Oequiv(c_Arrow__Order__Mirabelle_OLin,c_Set_Ovimage(c_COMBI(X1),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_bool)),X1,X1),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614]) ).
cnf(i_0_1978,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1358]) ).
cnf(i_0_1979,plain,
~ c_Equiv__Relations_Oequiv(c_Arrow__Order__Mirabelle_OLin,c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_bool)),c_Set_Ovimage(c_COMBI(X1),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),X1,X1)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615]) ).
cnf(i_0_1980,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1358]) ).
cnf(i_0_1981,plain,
~ c_lessequals(c_Set_Ovimage(c_COMBI(X1),hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),X1,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1980,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615,i_0_1627]) ).
cnf(i_0_1982,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1358]) ).
cnf(i_0_1983,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),c_Set_Ovimage(c_COMBI(X1),c_Arrow__Order__Mirabelle_OLin,X1,X1),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1980,i_0_1982,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615,i_0_1627,i_0_1628]) ).
cnf(i_0_1984,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1358]) ).
cnf(i_0_1985,plain,
~ c_Equiv__Relations_Oequiv(c_Set_OPow(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1980,i_0_1982,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1917,i_0_1030,i_0_1868,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1950,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1965,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615,i_0_1627,i_0_1628,i_0_869]) ).
cnf(i_0_1986,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1320]) ).
cnf(i_0_1987,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_1988,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),c_Pair(X4,X2,X1,X1)),X5))
| ~ c_lessequals(c_Relation_OImage(X5,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1),c_Relation_OImage(X5,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X1,X1),tc_fun(X1,tc_bool))
| ~ c_Equiv__Relations_Oequiv(X3,X5,X1) ),
inference(rename_variables,[],[i_0_869]) ).
cnf(i_0_1989,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(c_Arrow__Order__Mirabelle_Omktop(v_Lba____,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1980,i_0_1982,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1917,i_0_1030,i_0_1868,i_0_1871,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1950,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1965,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615,i_0_1627,i_0_1628,i_0_869,i_0_940]) ).
cnf(i_0_1990,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X1))),
inference(rename_variables,[],[i_0_1030]) ).
cnf(i_0_1991,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X1))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X4,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X4)))
| X2 = X4 ),
inference(rename_variables,[],[i_0_940]) ).
cnf(i_0_1992,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Omktop(v_Lba____,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1980,i_0_1982,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1917,i_0_1030,i_0_1868,i_0_1871,i_0_1990,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1950,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1965,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615,i_0_1627,i_0_1628,i_0_869,i_0_940,i_0_941]) ).
cnf(i_0_1993,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(X3,X1))),
inference(rename_variables,[],[i_0_1030]) ).
cnf(i_0_1994,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X1))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X1,X4,X3)))
| X4 = X3 ),
inference(rename_variables,[],[i_0_941]) ).
cnf(i_0_1995,plain,
hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Oabove(v_Lba____,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1980,i_0_1982,i_0_1359,i_0_1214,i_0_933,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1917,i_0_1030,i_0_1868,i_0_1871,i_0_1990,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1950,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1965,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615,i_0_1627,i_0_1628,i_0_869,i_0_940,i_0_941,i_0_954]) ).
cnf(i_0_1996,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X1))
| hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3)))
| X2 = X3 ),
inference(rename_variables,[],[i_0_954]) ).
cnf(i_0_1997,plain,
~ class_OrderedGroup_Opordered__ab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1980,i_0_1982,i_0_1359,i_0_1214,i_0_933,i_0_1946,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1917,i_0_1030,i_0_1868,i_0_1871,i_0_1990,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1950,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1965,i_0_1987,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615,i_0_1627,i_0_1628,i_0_869,i_0_940,i_0_941,i_0_954,i_0_1335]) ).
cnf(i_0_1998,plain,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_933]) ).
cnf(i_0_1999,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_2000,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X5,X4,X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1335]) ).
cnf(i_0_2001,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(c_Set_Oimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X1),X6,X1,X2))),
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1980,i_0_1982,i_0_1359,i_0_1214,i_0_933,i_0_1946,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1917,i_0_1030,i_0_1868,i_0_1871,i_0_1990,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1950,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1965,i_0_1987,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615,i_0_1627,i_0_1628,i_0_869,i_0_940,i_0_941,i_0_954,i_0_1335,i_0_889]) ).
cnf(i_0_2002,plain,
( hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X4,X1,X5)),X2))
| hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X5)),X4),c_FuncSet_OPi(X2,X3,X1,X5))) ),
inference(rename_variables,[],[i_0_889]) ).
cnf(i_0_2003,plain,
$false,
inference(scs_inference,[],[i_0_1005,i_0_1360,i_0_1828,i_0_1884,i_0_1914,i_0_963,i_0_913,i_0_1358,i_0_1953,i_0_1955,i_0_1957,i_0_1959,i_0_1976,i_0_1978,i_0_1980,i_0_1982,i_0_1359,i_0_1214,i_0_933,i_0_1946,i_0_1351,i_0_1115,i_0_1776,i_0_1116,i_0_1333,i_0_1064,i_0_1760,i_0_1763,i_0_1837,i_0_1861,i_0_1865,i_0_1904,i_0_1908,i_0_1920,i_0_1311,i_0_1741,i_0_1815,i_0_1831,i_0_1834,i_0_1843,i_0_1903,i_0_1907,i_0_1917,i_0_1030,i_0_1868,i_0_1871,i_0_1990,i_0_1443,i_0_1748,i_0_1846,i_0_1874,i_0_1924,i_0_997,i_0_1856,i_0_1936,i_0_999,i_0_1320,i_0_1690,i_0_1693,i_0_1703,i_0_1714,i_0_1753,i_0_1814,i_0_1818,i_0_1950,i_0_1380,i_0_1698,i_0_1821,i_0_1379,i_0_882,i_0_1850,i_0_1860,i_0_1101,i_0_1146,i_0_919,i_0_1244,i_0_1455,i_0_1736,i_0_1853,i_0_1857,i_0_1891,i_0_1911,i_0_1962,i_0_1965,i_0_1987,i_0_1369,i_0_1804,i_0_1807,i_0_1372,i_0_1798,i_0_1433,i_0_1495,i_0_1496,i_0_1503,i_0_1504,i_0_1509,i_0_975,i_0_980,i_0_991,i_0_1018,i_0_1023,i_0_1050,i_0_1065,i_0_1066,i_0_1089,i_0_1105,i_0_1230,i_0_1268,i_0_1390,i_0_1420,i_0_868,i_0_884,i_0_888,i_0_959,i_0_961,i_0_962,i_0_965,i_0_974,i_0_1016,i_0_1017,i_0_1027,i_0_1056,i_0_1057,i_0_1061,i_0_1095,i_0_1099,i_0_1118,i_0_1120,i_0_1121,i_0_1123,i_0_1124,i_0_1126,i_0_1131,i_0_1140,i_0_1150,i_0_1153,i_0_1167,i_0_1174,i_0_1184,i_0_1191,i_0_1219,i_0_1242,i_0_1243,i_0_1261,i_0_1286,i_0_1287,i_0_1288,i_0_1289,i_0_1310,i_0_1363,i_0_1367,i_0_1382,i_0_1391,i_0_1449,i_0_1450,i_0_1511,i_0_1163,i_0_1165,i_0_1290,i_0_1291,i_0_1292,i_0_1293,i_0_1473,i_0_1474,i_0_832,i_0_875,i_0_1010,i_0_1011,i_0_1042,i_0_1070,i_0_1154,i_0_1179,i_0_1180,i_0_1249,i_0_1303,i_0_1388,i_0_1607,i_0_860,i_0_908,i_0_917,i_0_927,i_0_928,i_0_966,i_0_967,i_0_981,i_0_985,i_0_988,i_0_989,i_0_1002,i_0_1043,i_0_1044,i_0_1060,i_0_1068,i_0_1097,i_0_1098,i_0_1137,i_0_1151,i_0_1152,i_0_1156,i_0_1173,i_0_1187,i_0_1189,i_0_1206,i_0_1207,i_0_1210,i_0_1267,i_0_1304,i_0_1352,i_0_1353,i_0_1362,i_0_1397,i_0_1640,i_0_1512,i_0_1587,i_0_1593,i_0_1629,i_0_1100,i_0_1271,i_0_1338,i_0_1340,i_0_1342,i_0_1344,i_0_1613,i_0_1614,i_0_1615,i_0_1627,i_0_1628,i_0_869,i_0_940,i_0_941,i_0_954,i_0_1335,i_0_889,i_0_1045]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT080-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n009.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:56:41 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.76/5.69 % Version : CSE_E---1.7
% 0.76/5.69 % Problem : theBenchmark.p
% 0.76/5.69 % SZS status Unsatisfiable for theBenchmark.p
% 0.76/5.69 % SZS output start CNFRefutation
% See solution above
% 9.29/8.77 % Total time : 5.337s
%------------------------------------------------------------------------------