%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV861-1 : 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 : n029.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 05:27:33 PM UTC 2026
% Result : Unsatisfiable 1.34s 1.66s
% Output : CNFRefutation 4.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_607)
% 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_inj__on__insert_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X5),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4,X1)))
| ~ c_Fun_Oinj__on(X2,c_Set_Oinsert(X3,X5,X4),X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_1) ).
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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4,X5)))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_2) ).
cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom,
( c_Nitpick_Ofold__graph_H(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ c_Nitpick_Ofold__graph_H(X1,X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6)),X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(c_in(X6),X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold__graph_H_Ointros_I2_J_0) ).
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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6)),X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff1__fold__graph_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_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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X6),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),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_Diff__insert2_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).
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_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_psubset__insert__iff_8,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_8) ).
cnf(cls_psubset__insert__iff_4,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_4) ).
cnf(cls_psubset__insert__iff_9,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_9) ).
cnf(cls_psubset__insert__iff_5,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_5) ).
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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_4) ).
cnf(cls_psubset__insert__iff_1,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X4,tc_fun(X1,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X1),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2))
| ~ c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X3,X4,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_1) ).
cnf(cls_subset__insert__iff_0,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X4,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2))
| ~ c_lessequals(X2,c_Set_Oinsert(X3,X4,X1),tc_fun(X1,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_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_insert__Diff__single_0,axiom,
c_Set_Oinsert(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2) = c_Set_Oinsert(X1,X3,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__single_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_Diff__insert__absorb_0,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X3
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).
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_insert__Diff_0,axiom,
( c_Set_Oinsert(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff_0) ).
cnf(cls_insert__Diff__if_1,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),X1)
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).
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_setsum__diff1__nat_1,axiom,
( c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2,tc_nat) = c_Finite__Set_Osetsum(X1,X3,X2,tc_nat)
| hBOOL(hAPP(hAPP(c_in(X2),X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__diff1__nat_1) ).
cnf(cls_Diff__insert_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert_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_insert__Diff1_0,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff1_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_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_psubset__insert__iff_2,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_2) ).
cnf(cls_psubset__insert__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_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_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_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_card__Suc__eq_5,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
| c_Finite__Set_Ocard(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Suc__eq_5) ).
cnf(cls_psubset__insert__iff_7,axiom,
( c_HOL_Oord__class_Oless(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))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_7) ).
cnf(cls_psubset__insert__iff_3,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_3) ).
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_psubset__insert__iff_6,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_6) ).
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_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_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__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_evaln__max2_0,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X1,X3,X2,X4,X5,X6),X5)
| ~ c_Natural_Oevaln(X3,X4,X7,X6)
| ~ c_Natural_Oevaln(X1,X2,X8,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__max2_0) ).
cnf(cls_evaln__max2_1,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X3,X1,X4,X2,X5,X6),X6)
| ~ c_Natural_Oevaln(X1,X2,X7,X6)
| ~ c_Natural_Oevaln(X3,X4,X8,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__max2_1) ).
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_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_setsum__subtractf_0,axiom,
( c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Ominus__class_Ominus(X1),X2,X1,tc_fun(X1,X1),X3),X4,X3,X1,X1),X5,X3,X1) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),c_Finite__Set_Osetsum(X2,X5,X3,X1)),c_Finite__Set_Osetsum(X4,X5,X3,X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__subtractf_0) ).
cnf(cls_ord_OgreaterThanAtMost__iff_1,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OgreaterThanAtMost(X1,X5,X6,X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OgreaterThanAtMost__iff_1) ).
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_OgreaterThanAtMost__iff_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThanAtMost(X5,X1,X2,X6,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OgreaterThanAtMost__iff_0) ).
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_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_fold__graph_H_Ointros_I1_J_0,axiom,
c_Nitpick_Ofold__graph_H(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_H_Ointros_I1_J_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_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_ord_OgreaterThanAtMost__iff_2,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThanAtMost(X3,X4,X5,X6,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X6))
| ~ hBOOL(hAPP(hAPP(X4,X5),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ord_OgreaterThanAtMost__iff_2) ).
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_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_inj__on__Un_3,axiom,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X2,tc_bool)),X2,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),X3),X2,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,X4,X2,X5)
| ~ c_Fun_Oinj__on(X1,X3,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_3) ).
cnf(cls_image__diff__subset_0,axiom,
c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,X3,X4,X1)),c_Set_Oimage(X2,X5,X4,X1)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),X5),X4,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).
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_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_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_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_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__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_inj__on__Un_2,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),X3),X2,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(X3,X4,tc_fun(X2,tc_bool)),X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_2) ).
cnf(cls_inj__on__image__set__diff_0,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_lessequals(X4,X6,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__set__diff_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_COMBS__def_0,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBS__def_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_COMBS__def__raw_0,axiom,
hAPP(c_COMBS(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBS__def__raw_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_COMBB__def__raw_0,axiom,
hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(v_P,hAPP(v_Q,v_R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBB__def__raw_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_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_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_vimage__Diff_0,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__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_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_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_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_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_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_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__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_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_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_triple__valid__def2_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_Natural_Oevaln(X4,X5,X6,X3)
| ~ hBOOL(hAPP(hAPP(X7,X2),X5))
| ~ c_Hoare__Mirabelle_Otriple__valid(X6,c_Hoare__Mirabelle_Otriple_Otriple(X7,X4,X1,t_a),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple__valid__def2_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_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_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_peek__and__def_0,axiom,
c_Hoare__Mirabelle_Opeek__and(X1,X2,v_Z,v_s,t_a) = c_and(hAPP(hAPP(X1,v_Z),v_s),hAPP(X2,v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_peek__and__def_0) ).
cnf(cls_peek__and__def__raw_0,axiom,
c_Hoare__Mirabelle_Opeek__and(v_P,v_p,v_Z,v_s,t_a) = c_and(hAPP(hAPP(v_P,v_Z),v_s),hAPP(v_p,v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_peek__and__def__raw_0) ).
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_ball__conj__distrib_4,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_4) ).
cnf(cls_ball__conj__distrib_5,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_5) ).
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_DiffE_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_1) ).
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__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_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_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_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_DiffE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_0) ).
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_evaln_OWhileTrue_0,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5)
| ~ c_Natural_Oevaln(X2,X3,X4,X6)
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OWhileTrue_0) ).
cnf(cls_ball__conj__distrib_6,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_6) ).
cnf(cls_ball__conj__distrib_9,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_9) ).
cnf(cls_ball__conj__distrib_7,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_7) ).
cnf(cls_ball__conj__distrib_8,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_8) ).
cnf(cls_Un__Diff_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))),X4) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff_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_evaln__elim__cases_I5_J_2,axiom,
( c_Natural_Oevaln(X1,X2,X3,X4)
| c_Natural_Oevaln(X5,X2,X3,X4)
| ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I5_J_2) ).
cnf(cls_evaln_OSemi_0,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
| ~ c_Natural_Oevaln(X2,X6,X4,X5)
| ~ c_Natural_Oevaln(X1,X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OSemi_0) ).
cnf(cls_Diff__Int2_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int2_0) ).
cnf(cls_COMBC__def__raw_0,axiom,
hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R) = hAPP(hAPP(v_P,v_R),v_Q),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBC__def__raw_0) ).
cnf(cls_ball__conj__distrib_10,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__3(X4,X5,X3)))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_10) ).
cnf(cls_ball__conj__distrib_11,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__3(X4,X1,X3)))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__conj__distrib_11) ).
cnf(cls_Diff__Int__distrib2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X1,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).
cnf(cls_Diff__Int__distrib_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X2,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).
cnf(cls_DiffI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))
| 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),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))
| 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_Diff__Int_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int_0) ).
cnf(cls_Diff__Un_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Un_0) ).
cnf(cls_inj__on__diff_0,axiom,
( c_Fun_Oinj__on(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
| ~ c_Fun_Oinj__on(X1,X3,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__diff_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_card__image_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__image_0) ).
cnf(cls_Diff__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__mono_0) ).
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_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_Diff__idemp_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X3) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).
cnf(cls_evaln__elim__cases_I5_J_1,axiom,
( c_Natural_Oevaln(X3,X2,X4,X5)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I5_J_1) ).
cnf(cls_evaln__elim__cases_I5_J_0,axiom,
( c_Natural_Oevaln(X1,X2,X3,X4)
| hBOOL(hAPP(X5,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I5_J_0) ).
cnf(cls_Int__Diff_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Diff_0) ).
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_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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),X2),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_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_evaln_OIfTrue_0,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
| ~ c_Natural_Oevaln(X2,X4,X5,X6)
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OIfTrue_0) ).
cnf(cls_INT__extend__simps_I4_J_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_INT__extend__simps_I4_J_0) ).
cnf(cls_triple_Oinject_0,axiom,
( X1 = X5
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple_Oinject_0) ).
cnf(cls_triple_Oinject_1,axiom,
( X2 = X6
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple_Oinject_1) ).
cnf(cls_triple_Oinject_2,axiom,
( X3 = X7
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple_Oinject_2) ).
cnf(cls_evaln_OIfFalse_0,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
| hBOOL(hAPP(X1,X4))
| ~ c_Natural_Oevaln(X3,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OIfFalse_0) ).
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_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_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_Diff__subset__conv_1,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_1) ).
cnf(cls_evaln__nonstrict_0,axiom,
( c_Natural_Oevaln(X1,X2,X3,X4)
| ~ c_lessequals(X5,X3,tc_nat)
| ~ c_Natural_Oevaln(X1,X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__nonstrict_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_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_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_double__diff_0,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)) = X4
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__diff_0) ).
cnf(cls_evaln__Suc_0,axiom,
( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__Suc_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_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_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__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_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_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_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_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_conjecture_6,negated_conjecture,
( hBOOL(hAPP(hAPP(v_R,X1),X2))
| ~ c_Natural_Oevaln(v_d,X3,v_n,X2)
| ~ hBOOL(hAPP(hAPP(v_Q,X1),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_5,negated_conjecture,
( hBOOL(hAPP(hAPP(v_Q,X1),X2))
| ~ c_Natural_Oevaln(v_c,X3,v_n,X2)
| ~ hBOOL(hAPP(hAPP(v_P,X1),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
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_hoare__valids__def_0,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
| ~ c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__valids__def_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__Diff__Int_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__Int_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_triples__valid__Suc_0,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triples__valid__Suc_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_Diff__partition_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)) = X3
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__partition_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_hoare__valids__def_1,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__valids__def_1) ).
cnf(cls_evaln__WHILE__case_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X4),X2,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__WHILE__case_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__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__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_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_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_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_eval__eq_1,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eval__eq_1) ).
cnf(cls_evaln__evalc_0,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__evalc_0) ).
cnf(cls_Un__Diff__cancel2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).
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_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__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__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_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_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_psubsetD_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_HOL_Oord__class_Oless(X4,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubsetD_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_triples__valid__Suc_1,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
| ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triples__valid__Suc_1) ).
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_Diff__disjoint_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),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__disjoint_0) ).
cnf(cls_evaln__elim__cases_I1_J_0,axiom,
( X1 = X2
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_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_evalc__elim__cases_I5_J_2,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| c_Natural_Oevalc(X4,X2,X3)
| ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X5,X4,X1),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I5_J_2) ).
cnf(cls_Diff__subset_0,axiom,
c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset_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_evalc__elim__cases_I5_J_1,axiom,
( c_Natural_Oevalc(X3,X2,X4)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X5),X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I5_J_1) ).
cnf(cls_evalc_OWhileTrue_0,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X4)
| ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X5,X4)
| ~ c_Natural_Oevalc(X2,X3,X5)
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OWhileTrue_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_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_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_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_evalc__elim__cases_I5_J_0,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| hBOOL(hAPP(X4,X2))
| ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X5,X1),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I5_J_0) ).
cnf(cls_hoare__valids__def_2,axiom,
( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
| c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X1,X2),X3,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__valids__def_2) ).
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_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_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__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_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__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_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__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_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_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_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_psubset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__trans_0) ).
cnf(cls_subset__psubset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(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__psubset__trans_0) ).
cnf(cls_psubset__subset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__subset__trans_0) ).
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__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_less__eqI_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eqI_1) ).
cnf(cls_less__eqI_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eqI_0) ).
cnf(cls_le__eqI_1,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)
| ~ 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)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_0) ).
cnf(cls_Diff__triv_0,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X1),X2) = 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_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_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_evaln_OWhileFalse_0,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)
| hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OWhileFalse_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_less__fun__def_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))
| c_lessequals(X3,X2,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_2) ).
cnf(cls_evalc_OIfTrue_0,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)
| ~ c_Natural_Oevalc(X2,X4,X5)
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OIfTrue_0) ).
cnf(cls_hoare__valids__def_3,axiom,
( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__3(X1,X2)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__valids__def_3) ).
cnf(cls_evalc_OIfFalse_0,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)
| hBOOL(hAPP(X1,X4))
| ~ c_Natural_Oevalc(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OIfFalse_0) ).
cnf(cls_empty__Diff_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Diff_0) ).
cnf(cls_less__fun__def_1,axiom,
( ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_1) ).
cnf(cls_less__infI1_0,axiom,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__infI1_0) ).
cnf(cls_less__infI2_0,axiom,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__infI2_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_less__supI1_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__supI1_0) ).
cnf(cls_less__supI2_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__supI2_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_evalc_OSemi_0,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
| ~ c_Natural_Oevalc(X2,X5,X4)
| ~ c_Natural_Oevalc(X1,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OSemi_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_n,X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
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_evaln_OSkip_0,axiom,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OSkip_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
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_xt1_I10_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
cnf(cls_xt1_I7_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).
cnf(cls_xt1_I8_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).
cnf(cls_order__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
cnf(cls_order__le__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).
cnf(cls_order__less__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le__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_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_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_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_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_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__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_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_le__trans_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__trans_0) ).
cnf(cls_hoare__valids__def_4,axiom,
( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X1,X2),v_sko__Hoare__Mirabelle__Xhoare__valids__def__3(X1,X2),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__valids__def_4) ).
cnf(cls_less__fun__def_0,axiom,
( c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_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_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_not__psubset__empty_0,axiom,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__psubset__empty_0) ).
cnf(cls_less__le__not__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).
cnf(cls_subset__iff__psubset__eq_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff__psubset__eq_0) ).
cnf(cls_psubset__eq_2,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_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_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_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_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_psubset__eq_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_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_Diff__empty_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__empty_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__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_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__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_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_not__less__iff__gr__or__eq_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
cnf(cls_linorder__antisym__conv2_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).
cnf(cls_linorder__not__le_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
cnf(cls_linorder__not__less_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
cnf(cls_xt1_I9_J_0,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
cnf(cls_order__less__asym_H_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
cnf(cls_order__less__asym_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
cnf(cls_not__less__eq__eq_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X2),X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq__eq_1) ).
cnf(cls_com__det_0,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com__det_0) ).
cnf(cls_eq__eqI_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X4) ),
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)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
cnf(cls_com_Osimps_I4_J_0,axiom,
( X1 = X4
| c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_0) ).
cnf(cls_com_Osimps_I4_J_1,axiom,
( X2 = X5
| c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_1) ).
cnf(cls_com_Osimps_I4_J_2,axiom,
( X3 = X6
| c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_2) ).
cnf(cls_Diff__cancel_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).
cnf(cls_le__antisym_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__antisym_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_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_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__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_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__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_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__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__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_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_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_evalc__WHILE__case_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X4),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__WHILE__case_0) ).
cnf(cls_Suc__le__mono_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__le__mono_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_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_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_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_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__SucE_0,axiom,
( X1 = c_Suc(X2)
| c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__SucE_0) ).
cnf(cls_triple__valid__Suc_0,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple__valid__Suc_0) ).
cnf(cls_linorder__antisym__conv2_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).
cnf(cls_linorder__antisym__conv1_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).
cnf(cls_order__neq__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).
cnf(cls_order__le__neq__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__neq__trans_0) ).
cnf(cls_order__less__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_2) ).
cnf(cls_order__le__less_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_0) ).
cnf(cls_xt1_I12_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I12_J_0) ).
cnf(cls_xt1_I11_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I11_J_0) ).
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_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_Suc__le__mono_1,axiom,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__le__mono_1) ).
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_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_order__le__less_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_1) ).
cnf(cls_order__less__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).
cnf(cls_Suc__leD_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__leD_0) ).
cnf(cls_le__SucI_0,axiom,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__SucI_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_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_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_psubset__eq_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_1) ).
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__neqE__ordered__idom_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).
cnf(cls_linorder__antisym__conv3_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).
cnf(cls_linorder__less__linear_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).
cnf(cls_linorder__neqE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE_0) ).
cnf(cls_not__less__iff__gr__or__eq_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).
cnf(cls_linorder__antisym__conv1_1,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_1) ).
cnf(cls_linorder__not__less_0,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).
cnf(cls_linorder__not__le_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
cnf(cls_not__leE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_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_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_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__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_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_not__less__eq__eq_0,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__eq__eq_0) ).
cnf(cls_evalc_OWhileFalse_0,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X3)
| hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OWhileFalse_0) ).
cnf(cls_COMBK__def__raw_0,axiom,
hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def__raw_0) ).
cnf(cls_com_Osimps_I45_J_0,axiom,
c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I45_J_0) ).
cnf(cls_com_Osimps_I52_J_0,axiom,
c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I52_J_0) ).
cnf(cls_com_Osimps_I44_J_0,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I44_J_0) ).
cnf(cls_com_Osimps_I53_J_0,axiom,
c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I53_J_0) ).
cnf(cls_nat__le__linear_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__le__linear_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_conjecture_3,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
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_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_linorder__neq__iff_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
cnf(cls_order__less__le_1,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_1) ).
cnf(cls_order__less__irrefl_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
cnf(cls_Suc__n__not__le__n_0,axiom,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).
cnf(cls_com_Osimps_I15_J_0,axiom,
c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I15_J_0) ).
cnf(cls_com_Osimps_I14_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I14_J_0) ).
cnf(cls_evalc__elim__cases_I1_J_0,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I1_J_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_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_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__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_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_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_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_conjecture_0,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_le__Suc__eq_2,axiom,
c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__Suc__eq_2) ).
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_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_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(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_evalc_OSkip_0,axiom,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OSkip_0) ).
cnf(cls_eq__imp__le_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).
cnf(cls_le__refl_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__refl_0) ).
cnf(cls_com_Osimps_I3_J_0,axiom,
( X1 = X3
| c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_0) ).
cnf(cls_com_Osimps_I5_J_0,axiom,
( X1 = X3
| c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I5_J_0) ).
cnf(cls_com_Osimps_I3_J_1,axiom,
( X2 = X4
| c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_1) ).
cnf(cls_com_Osimps_I5_J_1,axiom,
( X2 = X4
| c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I5_J_1) ).
cnf(cls_com_Osimps_I46_J_0,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I46_J_0) ).
cnf(cls_com_Osimps_I47_J_0,axiom,
c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I47_J_0) ).
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_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__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_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(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__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__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_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__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__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(cls_com_Osimps_I13_J_0,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).
cnf(cls_com_Osimps_I17_J_0,axiom,
c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I17_J_0) ).
cnf(cls_com_Osimps_I12_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).
cnf(cls_com_Osimps_I16_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I16_J_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_COMBI__def__raw_0,axiom,
hAPP(c_COMBI(t_a),v_P) = v_P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
cnf(cls_nat_Oinject_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat_Oinject_0) ).
cnf(cls_Suc__inject_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__inject_0) ).
cnf(cls_Suc__n__not__n_0,axiom,
c_Suc(X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
cnf(cls_n__not__Suc__n_0,axiom,
X1 != c_Suc(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
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_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
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__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_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(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_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__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_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_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__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(i_0_606,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_607,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(i_0_608,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_609,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_606,c_0_607]) ).
cnf(i_0_610,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_611,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_612,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_613,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_614,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_615,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X5),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4,X1)))
| ~ c_Fun_Oinj__on(X2,c_Set_Oinsert(X3,X5,X4),X4,X1) ),
cls_inj__on__insert_1 ).
cnf(i_0_616,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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4,X5)))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
cls_inj__on__insert_2 ).
cnf(i_0_617,axiom,
( c_Nitpick_Ofold__graph_H(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ c_Nitpick_Ofold__graph_H(X1,X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6)),X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(c_in(X6),X4),X3)) ),
cls_fold__graph_H_Ointros_I2_J_0 ).
cnf(i_0_618,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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6)),X5,X6,X7) ),
cls_Diff1__fold__graph_0 ).
cnf(i_0_619,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_620,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_621,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X6),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4,X5),X5)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X6)) ),
cls_fun__upd__image_0 ).
cnf(i_0_622,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),X4),
cls_Diff__insert2_0 ).
cnf(i_0_623,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_624,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_625,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_626,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_627,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_628,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_8 ).
cnf(i_0_629,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_4 ).
cnf(i_0_630,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_9 ).
cnf(i_0_631,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_5 ).
cnf(i_0_632,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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool)) ),
cls_diff__single__insert_0 ).
cnf(i_0_633,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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_3 ).
cnf(i_0_634,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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_4 ).
cnf(i_0_635,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X4,tc_fun(X1,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X1),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2))
| ~ c_HOL_Oord__class_Oless(X2,c_Set_Oinsert(X3,X4,X1),tc_fun(X1,tc_bool)) ),
cls_psubset__insert__iff_1 ).
cnf(i_0_636,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X4,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2))
| ~ c_lessequals(X2,c_Set_Oinsert(X3,X4,X1),tc_fun(X1,tc_bool)) ),
cls_subset__insert__iff_0 ).
cnf(i_0_637,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_638,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_639,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_640,axiom,
c_Set_Oinsert(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2) = c_Set_Oinsert(X1,X3,X2),
cls_insert__Diff__single_0 ).
cnf(i_0_641,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0 ).
cnf(i_0_642,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X3
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_Diff__insert__absorb_0 ).
cnf(i_0_643,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_644,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_645,axiom,
( c_Set_Oinsert(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X3)) ),
cls_insert__Diff_0 ).
cnf(i_0_646,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),X1)
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
cls_insert__Diff__if_1 ).
cnf(i_0_647,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_648,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_649,axiom,
( c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2,tc_nat) = c_Finite__Set_Osetsum(X1,X3,X2,tc_nat)
| hBOOL(hAPP(hAPP(c_in(X2),X4),X3)) ),
cls_setsum__diff1__nat_1 ).
cnf(i_0_650,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
cls_Diff__insert_0 ).
cnf(i_0_651,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_652,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
cls_insert__Diff1_0 ).
cnf(i_0_653,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_654,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_655,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_656,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_657,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
cls_insertCI_1 ).
cnf(i_0_658,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
cls_insertI1_0 ).
cnf(i_0_659,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
cls_insert__iff_1 ).
cnf(i_0_660,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2 ).
cnf(i_0_661,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(i_0_662,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_663,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_664,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_665,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_2 ).
cnf(i_0_666,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_0 ).
cnf(i_0_667,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_668,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_669,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_670,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_671,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_672,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_673,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_674,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_675,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_676,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_677,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_678,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_679,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_680,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
| c_Finite__Set_Ocard(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) ),
cls_card__Suc__eq_5 ).
cnf(i_0_681,axiom,
( c_HOL_Oord__class_Oless(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))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_7 ).
cnf(i_0_682,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_3 ).
cnf(i_0_683,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_684,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_6 ).
cnf(i_0_685,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_686,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_687,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_688,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_689,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_690,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0 ).
cnf(i_0_691,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_692,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_693,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_694,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_695,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_696,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_697,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_698,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
cls_insert__absorb_0 ).
cnf(i_0_699,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_700,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_701,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_702,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_703,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_704,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
cls_CollectD_0 ).
cnf(i_0_705,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_CollectI_0 ).
cnf(i_0_706,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_707,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_708,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_709,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_608,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_710,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_610,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_711,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_611,c_0_609]),
[final] ).
cnf(i_0_712,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_612,c_0_609]),
[final] ).
cnf(i_0_713,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_613,c_0_609]),
[final] ).
cnf(i_0_714,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_614,c_0_609]),
[final] ).
cnf(i_0_715,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_716,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_717,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_718,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_719,plain,
( ~ c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X5,tc_fun(X4,tc_bool)),X4,X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X5),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))),X4,X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_615,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_720,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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),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))),X4,X5)))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_616,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_721,plain,
( c_Nitpick_Ofold__graph_H(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ hBOOL(hAPP(hAPP(c_in(X6),X4),X3))
| ~ c_Nitpick_Ofold__graph_H(X1,X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),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))),X5,X6,X7) ),
inference(rw,[status(thm)],[i_0_617,c_0_609]),
[final] ).
cnf(i_0_722,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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),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))),X5,X6,X7) ),
inference(rw,[status(thm)],[i_0_618,c_0_609]),
[final] ).
cnf(i_0_723,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_619,c_0_609]),
[final] ).
cnf(i_0_724,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_620,c_0_609]),
[final] ).
cnf(i_0_725,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,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),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))),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_621,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_726,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X1,X3,X2,X4,X5,X6),X5)
| ~ c_Natural_Oevaln(X3,X4,X7,X6)
| ~ c_Natural_Oevaln(X1,X2,X8,X5) ),
cls_evaln__max2_0,
[final] ).
cnf(i_0_727,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X3,X1,X4,X2,X5,X6),X6)
| ~ c_Natural_Oevaln(X1,X2,X7,X6)
| ~ c_Natural_Oevaln(X3,X4,X8,X5) ),
cls_evaln__max2_1,
[final] ).
cnf(i_0_728,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(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)))),X4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_622,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_729,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_730,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_623,c_0_609]),
[final] ).
cnf(i_0_731,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_624,c_0_609]),c_0_609]),c_0_609]),c_0_609]),
[final] ).
cnf(i_0_732,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_625,c_0_609]),c_0_609]),c_0_609]),c_0_609]),
[final] ).
cnf(i_0_733,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_626,c_0_609]),c_0_609]),c_0_609]),c_0_609]),
[final] ).
cnf(i_0_734,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_627,c_0_609]),c_0_609]),c_0_609]),c_0_609]),
[final] ).
cnf(i_0_735,plain,
( c_HOL_Oord__class_Oless(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_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),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))),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_628,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_736,plain,
( hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),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))),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_629,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_737,plain,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),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))),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_630,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_738,plain,
( hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),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))),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_631,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_739,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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),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))),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_632,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_740,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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),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))),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_633,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_741,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(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),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))),X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_634,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_742,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_743,axiom,
( c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Ominus__class_Ominus(X1),X2,X1,tc_fun(X1,X1),X3),X4,X3,X1,X1),X5,X3,X1) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),c_Finite__Set_Osetsum(X2,X5,X3,X1)),c_Finite__Set_Osetsum(X4,X5,X3,X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_setsum__subtractf_0,
[final] ).
cnf(i_0_744,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X3),X4))
| c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(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))),X4,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2))
| ~ c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_635,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_745,plain,
( c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(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))),X4,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2))
| ~ c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_636,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_746,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_637,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_747,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OgreaterThanAtMost(X1,X5,X6,X3,X4))) ),
cls_ord_OgreaterThanAtMost__iff_1,
[final] ).
cnf(i_0_748,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_749,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThanAtMost(X5,X1,X2,X6,X4))) ),
cls_ord_OgreaterThanAtMost__iff_0,
[final] ).
cnf(i_0_750,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_751,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_638,c_0_609]),
[final] ).
cnf(i_0_752,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_639,c_0_609]),
[final] ).
cnf(i_0_753,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_754,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),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))),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),X3,tc_fun(X2,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_640,c_0_609]),c_0_609]),c_0_609]),
[final] ).
cnf(i_0_755,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_641,c_0_609]),
[final] ).
cnf(i_0_756,plain,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_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))) = X3
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_642,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_757,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_643,c_0_609]),c_0_609]),c_0_609]),c_0_609]),
[final] ).
cnf(i_0_758,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_644,c_0_609]),c_0_609]),c_0_609]),c_0_609]),
[final] ).
cnf(i_0_759,plain,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),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))),tc_fun(X2,tc_bool)) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_645,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_760,plain,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(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))),X4) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_646,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_761,axiom,
c_Nitpick_Ofold__graph_H(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
cls_fold__graph_H_Ointros_I1_J_0,
[final] ).
cnf(i_0_762,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_763,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_647,c_0_607]),
[final] ).
cnf(i_0_764,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_648,c_0_609]),c_0_609]),c_0_609]),
[final] ).
cnf(i_0_765,plain,
( c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),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))),X2,tc_nat) = c_Finite__Set_Osetsum(X1,X3,X2,tc_nat)
| hBOOL(hAPP(hAPP(c_in(X2),X4),X3)) ),
inference(rw,[status(thm)],[i_0_649,c_0_609]),
[final] ).
cnf(i_0_766,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),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))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_650,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_767,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_768,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThanAtMost(X3,X4,X5,X6,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),X6))
| ~ hBOOL(hAPP(hAPP(X4,X5),X2)) ),
cls_ord_OgreaterThanAtMost__iff_2,
[final] ).
cnf(i_0_769,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_770,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_651,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_771,plain,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(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))),X4) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
inference(rw,[status(thm)],[i_0_652,c_0_609]),
[final] ).
cnf(i_0_772,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_773,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_653,c_0_609]),
[final] ).
cnf(i_0_774,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_654,c_0_609]),
[final] ).
cnf(i_0_775,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_655,c_0_609]),
[final] ).
cnf(i_0_776,axiom,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X2,tc_bool)),X2,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),X3),X2,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,X4,X2,X5)
| ~ c_Fun_Oinj__on(X1,X3,X2,X5) ),
cls_inj__on__Un_3,
[final] ).
cnf(i_0_777,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_656,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_778,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_657,c_0_609]),
[final] ).
cnf(i_0_779,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_658,c_0_609]),
[final] ).
cnf(i_0_780,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_659,c_0_609]),
[final] ).
cnf(i_0_781,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_660,c_0_609]),
[final] ).
cnf(i_0_782,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_661,c_0_609]),
[final] ).
cnf(i_0_783,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_662,c_0_609]),c_0_609]),c_0_609]),
[final] ).
cnf(i_0_784,axiom,
c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,X3,X4,X1)),c_Set_Oimage(X2,X5,X4,X1)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),X5),X4,X1),tc_fun(X1,tc_bool)),
cls_image__diff__subset_0,
[final] ).
cnf(i_0_785,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_786,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_663,c_0_609]),
[final] ).
cnf(i_0_787,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_664,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_788,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
| ~ c_HOL_Oord__class_Oless(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_665,c_0_609]),
[final] ).
cnf(i_0_789,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ c_HOL_Oord__class_Oless(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_666,c_0_609]),
[final] ).
cnf(i_0_790,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_667,c_0_609]),
[final] ).
cnf(i_0_791,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_668,c_0_609]),
[final] ).
cnf(i_0_792,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_793,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_669,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_794,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_670,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_795,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_671,c_0_609]),
[final] ).
cnf(i_0_796,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_672,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_797,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_673,c_0_609]),
[final] ).
cnf(i_0_798,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_674,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_799,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_675,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_800,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_676,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_801,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_677,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_802,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_803,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_804,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_805,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_806,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_807,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_678,c_0_609]),
[final] ).
cnf(i_0_808,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_809,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_810,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_811,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_812,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_679,c_0_609]),c_0_609]),
[final] ).
cnf(i_0_813,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),X3),X2,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(X3,X4,tc_fun(X2,tc_bool)),X2,X5) ),
cls_inj__on__Un_2,
[final] ).
cnf(i_0_814,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_lessequals(X4,X6,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
cls_inj__on__image__set__diff_0,
[final] ).
cnf(i_0_815,plain,
( c_Finite__Set_Ocard(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) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))
| hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) ),
inference(rw,[status(thm)],[i_0_680,c_0_609]),
[final] ).
cnf(i_0_816,plain,
( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[i_0_681,c_0_609]),
[final] ).
cnf(i_0_817,plain,
( hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
| c_HOL_Oord__class_Oless(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_682,c_0_609]),
[final] ).
cnf(i_0_818,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_819,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_820,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_683,c_0_609]),
[final] ).
cnf(i_0_821,plain,
( c_HOL_Oord__class_Oless(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_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
inference(rw,[status(thm)],[i_0_684,c_0_609]),
[final] ).
cnf(i_0_822,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_685,c_0_609]),
[final] ).
cnf(i_0_823,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_686,c_0_609]),
[final] ).
cnf(i_0_824,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
cls_COMBS__def_0,
[final] ).
cnf(i_0_825,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_687,c_0_609]),
[final] ).
cnf(i_0_826,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_688,c_0_609]),
[final] ).
cnf(i_0_827,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
cls_COMBB__def_0,
[final] ).
cnf(i_0_828,axiom,
hAPP(c_COMBS(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)),
cls_COMBS__def__raw_0,
[final] ).
cnf(i_0_829,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_830,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_831,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_832,axiom,
hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(v_P,hAPP(v_Q,v_R)),
cls_COMBB__def__raw_0,
[final] ).
cnf(i_0_833,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__apply_0,
[final] ).
cnf(i_0_834,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__same_0,
[final] ).
cnf(i_0_835,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_689,c_0_609]),
[final] ).
cnf(i_0_836,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_690,c_0_609]),
[final] ).
cnf(i_0_837,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_838,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_839,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
cls_vimage__Diff_0,
[final] ).
cnf(i_0_840,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_841,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_691,c_0_609]),
[final] ).
cnf(i_0_842,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_843,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_844,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_845,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_846,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_692,c_0_609]),
[final] ).
cnf(i_0_847,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_848,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_849,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_850,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_851,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_693,c_0_609]),
[final] ).
cnf(i_0_852,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_694,c_0_609]),
[final] ).
cnf(i_0_853,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_854,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_695,c_0_609]),
[final] ).
cnf(i_0_855,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_856,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_696,c_0_607]),c_0_609]),
[final] ).
cnf(i_0_857,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_858,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_859,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_860,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_861,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_697,c_0_609]),
[final] ).
cnf(i_0_862,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_863,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_864,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_865,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_Natural_Oevaln(X4,X5,X6,X3)
| ~ hBOOL(hAPP(hAPP(X7,X2),X5))
| ~ c_Hoare__Mirabelle_Otriple__valid(X6,c_Hoare__Mirabelle_Otriple_Otriple(X7,X4,X1,t_a),t_a) ),
cls_triple__valid__def2_0,
[final] ).
cnf(i_0_866,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_867,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_868,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_869,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_870,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_871,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_872,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_873,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_874,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_875,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_876,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_877,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_878,axiom,
c_Hoare__Mirabelle_Opeek__and(X1,X2,v_Z,v_s,t_a) = c_and(hAPP(hAPP(X1,v_Z),v_s),hAPP(X2,v_s)),
cls_peek__and__def_0,
[final] ).
cnf(i_0_879,axiom,
c_Hoare__Mirabelle_Opeek__and(v_P,v_p,v_Z,v_s,t_a) = c_and(hAPP(hAPP(v_P,v_Z),v_s),hAPP(v_p,v_s)),
cls_peek__and__def__raw_0,
[final] ).
cnf(i_0_880,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_698,c_0_609]),
[final] ).
cnf(i_0_881,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_882,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
cls_ball__conj__distrib_4,
[final] ).
cnf(i_0_883,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
cls_ball__conj__distrib_5,
[final] ).
cnf(i_0_884,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_885,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X3))) ),
cls_DiffE_1,
[final] ).
cnf(i_0_886,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_887,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_888,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem__iff_1,
[final] ).
cnf(i_0_889,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__triv_0,
[final] ).
cnf(i_0_890,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem_0,
[final] ).
cnf(i_0_891,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_892,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_893,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_894,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_699,c_0_607]),c_0_609]),
[final] ).
cnf(i_0_895,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4))) ),
cls_DiffE_0,
[final] ).
cnf(i_0_896,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_897,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5)
| ~ c_Natural_Oevaln(X2,X3,X4,X6)
| ~ hBOOL(hAPP(X1,X3)) ),
cls_evaln_OWhileTrue_0,
[final] ).
cnf(i_0_898,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3))) ),
cls_ball__conj__distrib_6,
[final] ).
cnf(i_0_899,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3))) ),
cls_ball__conj__distrib_9,
[final] ).
cnf(i_0_900,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3))) ),
cls_ball__conj__distrib_7,
[final] ).
cnf(i_0_901,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3))) ),
cls_ball__conj__distrib_8,
[final] ).
cnf(i_0_902,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))),X4) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
cls_Un__Diff_0,
[final] ).
cnf(i_0_903,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_904,axiom,
hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
cls_COMBC__def_0,
[final] ).
cnf(i_0_905,axiom,
( c_Natural_Oevaln(X1,X2,X3,X4)
| c_Natural_Oevaln(X5,X2,X3,X4)
| ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4) ),
cls_evaln__elim__cases_I5_J_2,
[final] ).
cnf(i_0_906,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
| ~ c_Natural_Oevaln(X2,X6,X4,X5)
| ~ c_Natural_Oevaln(X1,X3,X4,X6) ),
cls_evaln_OSemi_0,
[final] ).
cnf(i_0_907,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))),X4),
cls_Diff__Int2_0,
[final] ).
cnf(i_0_908,axiom,
hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R) = hAPP(hAPP(v_P,v_R),v_Q),
cls_COMBC__def__raw_0,
[final] ).
cnf(i_0_909,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__3(X4,X5,X3)))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X1,X3))) ),
cls_ball__conj__distrib_10,
[final] ).
cnf(i_0_910,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__3(X4,X1,X3)))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3(X4,X5,X3))) ),
cls_ball__conj__distrib_11,
[final] ).
cnf(i_0_911,axiom,
c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X1,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))),
cls_Diff__Int__distrib2_0,
[final] ).
cnf(i_0_912,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool))),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X2,tc_bool))),
cls_Diff__Int__distrib_0,
[final] ).
cnf(i_0_913,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_DiffI_0,
[final] ).
cnf(i_0_914,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_Diff__iff_2,
[final] ).
cnf(i_0_915,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)),
cls_Diff__Int_0,
[final] ).
cnf(i_0_916,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)),
cls_Diff__Un_0,
[final] ).
cnf(i_0_917,axiom,
( c_Fun_Oinj__on(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5)
| ~ c_Fun_Oinj__on(X1,X3,X2,X5) ),
cls_inj__on__diff_0,
[final] ).
cnf(i_0_918,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_919,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_920,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_921,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
cls_card__image_0,
[final] ).
cnf(i_0_922,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Diff__mono_0,
[final] ).
cnf(i_0_923,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_924,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_925,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_926,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X3) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),
cls_Diff__idemp_0,
[final] ).
cnf(i_0_927,axiom,
( c_Natural_Oevaln(X3,X2,X4,X5)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5) ),
cls_evaln__elim__cases_I5_J_1,
[final] ).
cnf(i_0_928,axiom,
( c_Natural_Oevaln(X1,X2,X3,X4)
| hBOOL(hAPP(X5,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4) ),
cls_evaln__elim__cases_I5_J_0,
[final] ).
cnf(i_0_929,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool))),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
cls_Int__Diff_0,
[final] ).
cnf(i_0_930,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_931,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X1),X2),X3,tc_fun(X4,tc_bool)) ),
cls_Diff__subset__conv_0,
[final] ).
cnf(i_0_932,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_933,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
| ~ c_Natural_Oevaln(X2,X4,X5,X6)
| ~ hBOOL(hAPP(X1,X4)) ),
cls_evaln_OIfTrue_0,
[final] ).
cnf(i_0_934,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool))) = X2,
cls_INT__extend__simps_I4_J_0,
[final] ).
cnf(i_0_935,axiom,
( X1 = X5
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
cls_triple_Oinject_0,
[final] ).
cnf(i_0_936,axiom,
( X2 = X6
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
cls_triple_Oinject_1,
[final] ).
cnf(i_0_937,axiom,
( X3 = X7
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
cls_triple_Oinject_2,
[final] ).
cnf(i_0_938,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
| hBOOL(hAPP(X1,X4))
| ~ c_Natural_Oevaln(X3,X4,X5,X6) ),
cls_evaln_OIfFalse_0,
[final] ).
cnf(i_0_939,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_940,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_941,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_942,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_943,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_944,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_945,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_700,c_0_607]),
[final] ).
cnf(i_0_946,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_947,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_948,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_949,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_950,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_951,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_952,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_953,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_954,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_955,axiom,
( c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
cls_Diff__subset__conv_1,
[final] ).
cnf(i_0_956,axiom,
( c_Natural_Oevaln(X1,X2,X3,X4)
| ~ c_lessequals(X5,X3,tc_nat)
| ~ c_Natural_Oevaln(X1,X2,X5,X4) ),
cls_evaln__nonstrict_0,
[final] ).
cnf(i_0_957,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_958,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_959,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_701,c_0_607]),
[final] ).
cnf(i_0_960,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_961,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_962,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)) = X4
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
cls_double__diff_0,
[final] ).
cnf(i_0_963,axiom,
( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
cls_evaln__Suc_0,
[final] ).
cnf(i_0_964,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_965,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_702,c_0_607]),
[final] ).
cnf(i_0_966,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_967,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_968,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_969,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_970,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_971,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_972,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_973,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_974,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_975,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_976,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_977,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_978,negated_conjecture,
( hBOOL(hAPP(hAPP(v_R,X1),X2))
| ~ c_Natural_Oevaln(v_d,X3,v_n,X2)
| ~ hBOOL(hAPP(hAPP(v_Q,X1),X3)) ),
cls_conjecture_6,
[final] ).
cnf(i_0_979,negated_conjecture,
( hBOOL(hAPP(hAPP(v_Q,X1),X2))
| ~ c_Natural_Oevaln(v_c,X3,v_n,X2)
| ~ hBOOL(hAPP(hAPP(v_P,X1),X3)) ),
cls_conjecture_5,
[final] ).
cnf(i_0_980,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_981,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_982,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
| ~ c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a) ),
cls_hoare__valids__def_0,
[final] ).
cnf(i_0_983,plain,
hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) = X2,
inference(rw,[status(thm)],[i_0_703,c_0_607]),
[final] ).
cnf(i_0_984,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_985,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_986,axiom,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X2,
cls_Un__Diff__Int_0,
[final] ).
cnf(i_0_987,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_988,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)) ),
cls_triples__valid__Suc_0,
[final] ).
cnf(i_0_989,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_990,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)) = X3
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
cls_Diff__partition_0,
[final] ).
cnf(i_0_991,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_992,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_993,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_994,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_995,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a) ),
cls_hoare__valids__def_1,
[final] ).
cnf(i_0_996,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X4),X2,X5,X3) ),
cls_evaln__WHILE__case_0,
[final] ).
cnf(i_0_997,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_998,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_999,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_1000,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_1001,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_1002,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_1003,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_1004,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_1005,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_1006,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_1007,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_1008,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_1009,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_1010,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
cls_eval__eq_1,
[final] ).
cnf(i_0_1011,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
cls_evaln__evalc_0,
[final] ).
cnf(i_0_1012,axiom,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool)),
cls_Un__Diff__cancel2_0,
[final] ).
cnf(i_0_1013,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),
cls_Un__Diff__cancel_0,
[final] ).
cnf(i_0_1014,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_1015,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_1016,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_1017,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_1018,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_1019,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_1020,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_1021,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_1022,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_1023,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_1024,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_HOL_Oord__class_Oless(X4,X3,tc_fun(X1,tc_bool)) ),
cls_psubsetD_0,
[final] ).
cnf(i_0_1025,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_1026,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_1027,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_1028,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_1029,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
| ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3),t_a) ),
cls_triples__valid__Suc_1,
[final] ).
cnf(i_0_1030,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_1031,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__disjoint_0,
[final] ).
cnf(i_0_1032,axiom,
( X1 = X2
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1) ),
cls_evaln__elim__cases_I1_J_0,
[final] ).
cnf(i_0_1033,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_1034,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_1035,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_1036,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| c_Natural_Oevalc(X4,X2,X3)
| ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X5,X4,X1),X2,X3) ),
cls_evalc__elim__cases_I5_J_2,
[final] ).
cnf(i_0_1037,axiom,
c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
cls_Diff__subset_0,
[final] ).
cnf(i_0_1038,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_1039,axiom,
( c_Natural_Oevalc(X3,X2,X4)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X5),X2,X4) ),
cls_evalc__elim__cases_I5_J_1,
[final] ).
cnf(i_0_1040,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X4)
| ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X5,X4)
| ~ c_Natural_Oevalc(X2,X3,X5)
| ~ hBOOL(hAPP(X1,X3)) ),
cls_evalc_OWhileTrue_0,
[final] ).
cnf(i_0_1041,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_1042,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_1043,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_1044,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_1045,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_1046,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_1047,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| hBOOL(hAPP(X4,X2))
| ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X5,X1),X2,X3) ),
cls_evalc__elim__cases_I5_J_0,
[final] ).
cnf(i_0_1048,axiom,
( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
| c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X1,X2),X3,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X1)) ),
cls_hoare__valids__def_2,
[final] ).
cnf(i_0_1049,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_1050,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_1051,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_1052,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_1053,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_1054,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_1055,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_1056,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_1057,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_1058,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_1059,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_1060,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_1061,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_1062,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_1063,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
cls_psubset__trans_0,
[final] ).
cnf(i_0_1064,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_subset__psubset__trans_0,
[final] ).
cnf(i_0_1065,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
cls_psubset__subset__trans_0,
[final] ).
cnf(i_0_1066,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_1067,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_1068,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_1069,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_1070,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_1071,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_1072,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_1073,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_1074,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_1075,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
cls_less__eqI_1,
[final] ).
cnf(i_0_1076,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__eqI_0,
[final] ).
cnf(i_0_1077,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)
| ~ c_lessequals(X5,X4,X1) ),
cls_le__eqI_1,
[final] ).
cnf(i_0_1078,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__eqI_0,
[final] ).
cnf(i_0_1079,axiom,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X1),X2) = 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_1080,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_1081,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_1082,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)
| hBOOL(hAPP(X1,X3)) ),
cls_evaln_OWhileFalse_0,
[final] ).
cnf(i_0_1083,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_1084,axiom,
( c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))
| c_lessequals(X3,X2,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1)) ),
cls_less__fun__def_2,
[final] ).
cnf(i_0_1085,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)
| ~ c_Natural_Oevalc(X2,X4,X5)
| ~ hBOOL(hAPP(X1,X4)) ),
cls_evalc_OIfTrue_0,
[final] ).
cnf(i_0_1086,axiom,
( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__3(X1,X2)),X2)) ),
cls_hoare__valids__def_3,
[final] ).
cnf(i_0_1087,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)
| hBOOL(hAPP(X1,X4))
| ~ c_Natural_Oevalc(X3,X4,X5) ),
cls_evalc_OIfFalse_0,
[final] ).
cnf(i_0_1088,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_empty__Diff_0,
[final] ).
cnf(i_0_1089,axiom,
( ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)) ),
cls_less__fun__def_1,
[final] ).
cnf(i_0_1090,axiom,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__infI1_0,
[final] ).
cnf(i_0_1091,axiom,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_less__infI2_0,
[final] ).
cnf(i_0_1092,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_1093,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_1094,axiom,
( c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__supI1_0,
[final] ).
cnf(i_0_1095,axiom,
( c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__supI2_0,
[final] ).
cnf(i_0_1096,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_1097,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_1098,axiom,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
cls_vimage__ident_0,
[final] ).
cnf(i_0_1099,axiom,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
cls_image__ident_0,
[final] ).
cnf(i_0_1100,axiom,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
cls_inj__on__id2_0,
[final] ).
cnf(i_0_1101,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
| ~ c_Natural_Oevalc(X2,X5,X4)
| ~ c_Natural_Oevalc(X1,X3,X5) ),
cls_evalc_OSemi_0,
[final] ).
cnf(i_0_1102,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(v_n,X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
cls_conjecture_4,
[final] ).
cnf(i_0_1103,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_1104,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_1105,axiom,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
cls_evaln_OSkip_0,
[final] ).
cnf(i_0_1106,negated_conjecture,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
cls_conjecture_2,
[final] ).
cnf(i_0_1107,negated_conjecture,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
cls_conjecture_1,
[final] ).
cnf(i_0_1108,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_1109,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I10_J_0,
[final] ).
cnf(i_0_1110,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I7_J_0,
[final] ).
cnf(i_0_1111,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I8_J_0,
[final] ).
cnf(i_0_1112,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__trans_0,
[final] ).
cnf(i_0_1113,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__le__less__trans_0,
[final] ).
cnf(i_0_1114,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__le__trans_0,
[final] ).
cnf(i_0_1115,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_1116,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_1117,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_1118,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_1119,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_1120,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_1121,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_1122,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_1123,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_1124,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_1125,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_1126,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_le__trans_0,
[final] ).
cnf(i_0_1127,axiom,
( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X1,X2),v_sko__Hoare__Mirabelle__Xhoare__valids__def__3(X1,X2),t_a) ),
cls_hoare__valids__def_4,
[final] ).
cnf(i_0_1128,axiom,
( c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)) ),
cls_less__fun__def_0,
[final] ).
cnf(i_0_1129,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0,
[final] ).
cnf(i_0_1130,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_1131,axiom,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_not__psubset__empty_0,
[final] ).
cnf(i_0_1132,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_less__le__not__le_2,
[final] ).
cnf(i_0_1133,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_subset__iff__psubset__eq_0,
[final] ).
cnf(i_0_1134,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_psubset__eq_2,
[final] ).
cnf(i_0_1135,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_1136,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_1137,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_1138,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_1139,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_1140,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_1141,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_1142,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
cls_psubset__eq_0,
[final] ).
cnf(i_0_1143,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
cls_mem__def_0,
[final] ).
cnf(i_0_1144,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
inference(rw,[status(thm)],[i_0_704,c_0_607]),
[final] ).
cnf(i_0_1145,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
cls_Diff__empty_0,
[final] ).
cnf(i_0_1146,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_1147,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_1148,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_1149,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_1150,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_1151,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_1152,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_not__less__iff__gr__or__eq_1,
[final] ).
cnf(i_0_1153,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__antisym__conv2_1,
[final] ).
cnf(i_0_1154,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_linorder__not__le_1,
[final] ).
cnf(i_0_1155,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_linorder__not__less_1,
[final] ).
cnf(i_0_1156,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_xt1_I9_J_0,
[final] ).
cnf(i_0_1157,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_H_0,
[final] ).
cnf(i_0_1158,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_0,
[final] ).
cnf(i_0_1159,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_less__le__not__le_1,
[final] ).
cnf(i_0_1160,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X2),X1,tc_nat) ),
cls_not__less__eq__eq_1,
[final] ).
cnf(i_0_1161,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
cls_com__det_0,
[final] ).
cnf(i_0_1162,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X4) ),
cls_eq__eqI_1,
[final] ).
cnf(i_0_1163,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4) ),
cls_eq__eqI_0,
[final] ).
cnf(i_0_1164,axiom,
( X1 = X4
| c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
cls_com_Osimps_I4_J_0,
[final] ).
cnf(i_0_1165,axiom,
( X2 = X5
| c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
cls_com_Osimps_I4_J_1,
[final] ).
cnf(i_0_1166,axiom,
( X3 = X6
| c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
cls_com_Osimps_I4_J_2,
[final] ).
cnf(i_0_1167,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Diff__cancel_0,
[final] ).
cnf(i_0_1168,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__antisym_0,
[final] ).
cnf(i_0_1169,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_1170,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_1171,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_1172,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_1173,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_1174,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_1175,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_1176,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_1177,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_1178,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_1179,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_1180,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X4),X2,X3) ),
cls_evalc__WHILE__case_0,
[final] ).
cnf(i_0_1181,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
cls_Suc__le__mono_0,
[final] ).
cnf(i_0_1182,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_1183,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_1184,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_1185,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_1186,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_1187,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(rw,[status(thm)],[i_0_705,c_0_607]),
[final] ).
cnf(i_0_1188,axiom,
( X1 = c_Suc(X2)
| c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
cls_le__SucE_0,
[final] ).
cnf(i_0_1189,axiom,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
cls_triple__valid__Suc_0,
[final] ).
cnf(i_0_1190,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv2_0,
[final] ).
cnf(i_0_1191,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv1_0,
[final] ).
cnf(i_0_1192,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__neq__le__trans_0,
[final] ).
cnf(i_0_1193,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__neq__trans_0,
[final] ).
cnf(i_0_1194,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__less__le_2,
[final] ).
cnf(i_0_1195,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__less_0,
[final] ).
cnf(i_0_1196,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I12_J_0,
[final] ).
cnf(i_0_1197,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I11_J_0,
[final] ).
cnf(i_0_1198,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_1199,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_1200,axiom,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_Suc__le__mono_1,
[final] ).
cnf(i_0_1201,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_1202,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_1203,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_1204,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_1205,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__le__less_1,
[final] ).
cnf(i_0_1206,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__less__imp__le_0,
[final] ).
cnf(i_0_1207,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
cls_Suc__leD_0,
[final] ).
cnf(i_0_1208,axiom,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__SucI_0,
[final] ).
cnf(i_0_1209,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_1210,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_1211,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_1212,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
cls_psubset__eq_1,
[final] ).
cnf(i_0_1213,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0,
[final] ).
cnf(i_0_1214,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_linorder__neqE__ordered__idom_0,
[final] ).
cnf(i_0_1215,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv3_0,
[final] ).
cnf(i_0_1216,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__less__linear_0,
[final] ).
cnf(i_0_1217,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__neqE_0,
[final] ).
cnf(i_0_1218,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__less__iff__gr__or__eq_0,
[final] ).
cnf(i_0_1219,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv1_1,
[final] ).
cnf(i_0_1220,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__less_0,
[final] ).
cnf(i_0_1221,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__le_0,
[final] ).
cnf(i_0_1222,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__leE_0,
[final] ).
cnf(i_0_1223,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_1224,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_1225,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_1226,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_1227,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_1228,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_not__less__eq__eq_0,
[final] ).
cnf(i_0_1229,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X3)
| hBOOL(hAPP(X1,X3)) ),
cls_evalc_OWhileFalse_0,
[final] ).
cnf(i_0_1230,axiom,
hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P,
cls_COMBK__def__raw_0,
[final] ).
cnf(i_0_1231,axiom,
c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
cls_com_Osimps_I45_J_0,
[final] ).
cnf(i_0_1232,axiom,
c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
cls_com_Osimps_I52_J_0,
[final] ).
cnf(i_0_1233,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
cls_com_Osimps_I44_J_0,
[final] ).
cnf(i_0_1234,axiom,
c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
cls_com_Osimps_I53_J_0,
[final] ).
cnf(i_0_1235,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_nat__le__linear_0,
[final] ).
cnf(i_0_1236,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_1237,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
cls_conjecture_3,
[final] ).
cnf(i_0_1238,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_1239,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_1240,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__neq__iff_1,
[final] ).
cnf(i_0_1241,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__le_1,
[final] ).
cnf(i_0_1242,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__irrefl_0,
[final] ).
cnf(i_0_1243,axiom,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
cls_Suc__n__not__le__n_0,
[final] ).
cnf(i_0_1244,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rw,[status(thm)],[i_0_706,c_0_607]),
[final] ).
cnf(i_0_1245,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rw,[status(thm)],[i_0_707,c_0_607]),
[final] ).
cnf(i_0_1246,axiom,
c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSKIP,
cls_com_Osimps_I15_J_0,
[final] ).
cnf(i_0_1247,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X1,X2,X3),
cls_com_Osimps_I14_J_0,
[final] ).
cnf(i_0_1248,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1) ),
cls_evalc__elim__cases_I1_J_0,
[final] ).
cnf(i_0_1249,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Int__absorb_0,
[final] ).
cnf(i_0_1250,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0,
[final] ).
cnf(i_0_1251,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_1252,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_1253,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_1254,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_1255,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_1256,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_1257,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0,
[final] ).
cnf(i_0_1258,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
cls_conjecture_0,
[final] ).
cnf(i_0_1259,axiom,
c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
cls_le__Suc__eq_2,
[final] ).
cnf(i_0_1260,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__idem_0,
[final] ).
cnf(i_0_1261,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__idem_0,
[final] ).
cnf(i_0_1262,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1263,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1264,axiom,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
cls_evalc_OSkip_0,
[final] ).
cnf(i_0_1265,axiom,
c_lessequals(X1,X1,tc_nat),
cls_eq__imp__le_0,
[final] ).
cnf(i_0_1266,axiom,
c_lessequals(X1,X1,tc_nat),
cls_le__refl_0,
[final] ).
cnf(i_0_1267,axiom,
( X1 = X3
| c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
cls_com_Osimps_I3_J_0,
[final] ).
cnf(i_0_1268,axiom,
( X1 = X3
| c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
cls_com_Osimps_I5_J_0,
[final] ).
cnf(i_0_1269,axiom,
( X2 = X4
| c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
cls_com_Osimps_I3_J_1,
[final] ).
cnf(i_0_1270,axiom,
( X2 = X4
| c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
cls_com_Osimps_I5_J_1,
[final] ).
cnf(i_0_1271,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
cls_com_Osimps_I46_J_0,
[final] ).
cnf(i_0_1272,axiom,
c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
cls_com_Osimps_I47_J_0,
[final] ).
cnf(i_0_1273,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_1274,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_1275,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_1276,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1277,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
clsarity_fun__Orderings_Obot,
[final] ).
cnf(i_0_1278,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
clsarity_fun__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1279,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_1280,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
clsarity_fun__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1281,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1282,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_1283,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSKIP,
cls_com_Osimps_I13_J_0,
[final] ).
cnf(i_0_1284,axiom,
c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSKIP,
cls_com_Osimps_I17_J_0,
[final] ).
cnf(i_0_1285,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
cls_com_Osimps_I12_J_0,
[final] ).
cnf(i_0_1286,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(X1,X2),
cls_com_Osimps_I16_J_0,
[final] ).
cnf(i_0_1287,axiom,
hAPP(c_COMBI(X1),X2) = X2,
cls_COMBI__def_0,
[final] ).
cnf(i_0_1288,axiom,
hAPP(c_COMBI(t_a),v_P) = v_P,
cls_COMBI__def__raw_0,
[final] ).
cnf(i_0_1289,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
cls_nat_Oinject_0,
[final] ).
cnf(i_0_1290,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
cls_Suc__inject_0,
[final] ).
cnf(i_0_1291,axiom,
c_Suc(X1) != X1,
cls_Suc__n__not__n_0,
[final] ).
cnf(i_0_1292,axiom,
X1 != c_Suc(X1),
cls_n__not__Suc__n_0,
[final] ).
cnf(i_0_1293,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
clsarity_bool__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_1294,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_1295,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_1296,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_1297,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_1298,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_1299,axiom,
class_Lattices_Olower__semilattice(tc_nat),
clsarity_nat__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1300,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1301,axiom,
class_Orderings_Obot(tc_nat),
clsarity_nat__Orderings_Obot,
[final] ).
cnf(i_0_1302,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot,
[final] ).
cnf(i_0_1303,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1304,axiom,
class_Lattices_Olattice(tc_nat),
clsarity_nat__Lattices_Olattice,
[final] ).
cnf(i_0_1305,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_1306,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
clsarity_nat__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1307,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
clsarity_bool__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1308,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
clsarity_nat__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1309,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1310,axiom,
class_HOL_Oord(tc_nat),
clsarity_nat__HOL_Oord,
[final] ).
cnf(i_0_1311,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_1312,axiom,
X1 = X1 ).
cnf(i_0_1313,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1314,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1315,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1316,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1317,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1318,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1319,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1320,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1321,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1322,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1323,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1324,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_1325,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_1326,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_1327,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_1328,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_1329,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_1330,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_1331,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_1332,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1333,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1334,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).
cnf(i_0_1335,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).
cnf(i_0_1336,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).
cnf(i_0_1337,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).
cnf(i_0_1338,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).
cnf(i_0_1339,axiom,
( X1 != X2
| c_Suc(X1) = c_Suc(X2) ) ).
cnf(i_0_1340,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,X5) ) ).
cnf(i_0_1341,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X2,X4,X5) ) ).
cnf(i_0_1342,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X2,X5) ) ).
cnf(i_0_1343,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X2) ) ).
cnf(i_0_1344,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X1,X3,X4,X5,X6) = c_Hoare__Mirabelle_Opeek__and(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1345,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X3,X1,X4,X5,X6) = c_Hoare__Mirabelle_Opeek__and(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1346,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X3,X4,X1,X5,X6) = c_Hoare__Mirabelle_Opeek__and(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1347,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X3,X4,X5,X1,X6) = c_Hoare__Mirabelle_Opeek__and(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1348,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X3,X4,X5,X6,X1) = c_Hoare__Mirabelle_Opeek__and(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1349,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1350,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1351,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1352,axiom,
( X1 != X2
| c_and(X1,X3) = c_and(X2,X3) ) ).
cnf(i_0_1353,axiom,
( X1 != X2
| c_and(X3,X1) = c_and(X3,X2) ) ).
cnf(i_0_1354,axiom,
( X1 != X2
| c_Com_Ocom_OWhile(X1,X3) = c_Com_Ocom_OWhile(X2,X3) ) ).
cnf(i_0_1355,axiom,
( X1 != X2
| c_Com_Ocom_OWhile(X3,X1) = c_Com_Ocom_OWhile(X3,X2) ) ).
cnf(i_0_1356,axiom,
( X1 != X2
| c_Com_Ocom_OCond(X1,X3,X4) = c_Com_Ocom_OCond(X2,X3,X4) ) ).
cnf(i_0_1357,axiom,
( X1 != X2
| c_Com_Ocom_OCond(X3,X1,X4) = c_Com_Ocom_OCond(X3,X2,X4) ) ).
cnf(i_0_1358,axiom,
( X1 != X2
| c_Com_Ocom_OCond(X3,X4,X1) = c_Com_Ocom_OCond(X3,X4,X2) ) ).
cnf(i_0_1359,axiom,
( X1 != X2
| c_Com_Ocom_OSemi(X1,X3) = c_Com_Ocom_OSemi(X2,X3) ) ).
cnf(i_0_1360,axiom,
( X1 != X2
| c_Com_Ocom_OSemi(X3,X1) = c_Com_Ocom_OSemi(X3,X2) ) ).
cnf(i_0_1361,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1362,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1363,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1364,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1365,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1366,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_1367,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_1368,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_1369,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_1370,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_1371,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_1372,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_1373,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_1374,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_1375,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,X3,X4)
| c_Hoare__Mirabelle_Otriple__valid(X2,X3,X4) ) ).
cnf(i_0_1376,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Otriple__valid(X3,X1,X4)
| c_Hoare__Mirabelle_Otriple__valid(X3,X2,X4) ) ).
cnf(i_0_1377,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Otriple__valid(X3,X4,X1)
| c_Hoare__Mirabelle_Otriple__valid(X3,X4,X2) ) ).
cnf(i_0_1378,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1379,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1380,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X3,X4)
| c_Hoare__Mirabelle_Ohoare__valids(X2,X3,X4) ) ).
cnf(i_0_1381,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X1,X4)
| c_Hoare__Mirabelle_Ohoare__valids(X3,X2,X4) ) ).
cnf(i_0_1382,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X1)
| c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X2) ) ).
cnf(i_0_1383,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X1,X3,X4)
| c_Natural_Oevalc(X2,X3,X4) ) ).
cnf(i_0_1384,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X3,X1,X4)
| c_Natural_Oevalc(X3,X2,X4) ) ).
cnf(i_0_1385,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| c_Natural_Oevalc(X3,X4,X2) ) ).
cnf(i_0_1386,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1387,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1388,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1389,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1390,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1391,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1392,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1393,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1394,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1395,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1396,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1397,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1398,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1399,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1400,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1401,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1402,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_1403,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X1,X4,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_1404,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X1,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_1405,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X1,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_1406,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X1,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_1407,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X1)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_1408,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_1409,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_1410,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_1411,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_1412,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_1413,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_1414,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X1,X3,X4,X5)
| c_Natural_Oevaln(X2,X3,X4,X5) ) ).
cnf(i_0_1415,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X1,X4,X5)
| c_Natural_Oevaln(X3,X2,X4,X5) ) ).
cnf(i_0_1416,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X4,X1,X5)
| c_Natural_Oevaln(X3,X4,X2,X5) ) ).
cnf(i_0_1417,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X4,X5,X1)
| c_Natural_Oevaln(X3,X4,X5,X2) ) ).
cnf(i_0_1418,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1419,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1420,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1421,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1422,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1423,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1424,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1312_001,axiom,
X1 = X1 ).
cnf(i_0_1313_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1314_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1315_004,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1316_005,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1317_006,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1318_007,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1319_008,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1320_009,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1321_010,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1322_011,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1323_012,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1324_013,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_1325_014,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_1326_015,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_1327_016,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_1328_017,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_1329_018,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_1330_019,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_1331_020,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_1332_021,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1333_022,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1334_023,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).
cnf(i_0_1335_024,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).
cnf(i_0_1336_025,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).
cnf(i_0_1337_026,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).
cnf(i_0_1338_027,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).
cnf(i_0_1339_028,axiom,
( X1 != X2
| c_Suc(X1) = c_Suc(X2) ) ).
cnf(i_0_1340_029,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,X5) ) ).
cnf(i_0_1341_030,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X2,X4,X5) ) ).
cnf(i_0_1342_031,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X2,X5) ) ).
cnf(i_0_1343_032,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X2) ) ).
cnf(i_0_1344_033,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X1,X3,X4,X5,X6) = c_Hoare__Mirabelle_Opeek__and(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1345_034,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X3,X1,X4,X5,X6) = c_Hoare__Mirabelle_Opeek__and(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1346_035,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X3,X4,X1,X5,X6) = c_Hoare__Mirabelle_Opeek__and(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1347_036,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X3,X4,X5,X1,X6) = c_Hoare__Mirabelle_Opeek__and(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1348_037,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Opeek__and(X3,X4,X5,X6,X1) = c_Hoare__Mirabelle_Opeek__and(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1349_038,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1350_039,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1351_040,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1352_041,axiom,
( X1 != X2
| c_and(X1,X3) = c_and(X2,X3) ) ).
cnf(i_0_1353_042,axiom,
( X1 != X2
| c_and(X3,X1) = c_and(X3,X2) ) ).
cnf(i_0_1354_043,axiom,
( X1 != X2
| c_Com_Ocom_OWhile(X1,X3) = c_Com_Ocom_OWhile(X2,X3) ) ).
cnf(i_0_1355_044,axiom,
( X1 != X2
| c_Com_Ocom_OWhile(X3,X1) = c_Com_Ocom_OWhile(X3,X2) ) ).
cnf(i_0_1356_045,axiom,
( X1 != X2
| c_Com_Ocom_OCond(X1,X3,X4) = c_Com_Ocom_OCond(X2,X3,X4) ) ).
cnf(i_0_1357_046,axiom,
( X1 != X2
| c_Com_Ocom_OCond(X3,X1,X4) = c_Com_Ocom_OCond(X3,X2,X4) ) ).
cnf(i_0_1358_047,axiom,
( X1 != X2
| c_Com_Ocom_OCond(X3,X4,X1) = c_Com_Ocom_OCond(X3,X4,X2) ) ).
cnf(i_0_1359_048,axiom,
( X1 != X2
| c_Com_Ocom_OSemi(X1,X3) = c_Com_Ocom_OSemi(X2,X3) ) ).
cnf(i_0_1360_049,axiom,
( X1 != X2
| c_Com_Ocom_OSemi(X3,X1) = c_Com_Ocom_OSemi(X3,X2) ) ).
cnf(i_0_1361_050,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1362_051,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1363_052,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1364_053,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1365_054,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1366_055,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_1367_056,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_1368_057,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_1369_058,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_1370_059,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_1371_060,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_1372_061,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_1373_062,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_1374_063,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_1375_064,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,X3,X4)
| c_Hoare__Mirabelle_Otriple__valid(X2,X3,X4) ) ).
cnf(i_0_1376_065,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Otriple__valid(X3,X1,X4)
| c_Hoare__Mirabelle_Otriple__valid(X3,X2,X4) ) ).
cnf(i_0_1377_066,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Otriple__valid(X3,X4,X1)
| c_Hoare__Mirabelle_Otriple__valid(X3,X4,X2) ) ).
cnf(i_0_1378_067,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1379_068,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1380_069,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X3,X4)
| c_Hoare__Mirabelle_Ohoare__valids(X2,X3,X4) ) ).
cnf(i_0_1381_070,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X1,X4)
| c_Hoare__Mirabelle_Ohoare__valids(X3,X2,X4) ) ).
cnf(i_0_1382_071,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X1)
| c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X2) ) ).
cnf(i_0_1383_072,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X1,X3,X4)
| c_Natural_Oevalc(X2,X3,X4) ) ).
cnf(i_0_1384_073,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X3,X1,X4)
| c_Natural_Oevalc(X3,X2,X4) ) ).
cnf(i_0_1385_074,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| c_Natural_Oevalc(X3,X4,X2) ) ).
cnf(i_0_1386_075,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1387_076,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1388_077,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1389_078,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1390_079,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1391_080,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1392_081,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1393_082,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1394_083,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1395_084,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1396_085,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1397_086,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1398_087,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1399_088,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1400_089,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1401_090,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1402_091,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_1403_092,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X1,X4,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_1404_093,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X1,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_1405_094,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X1,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_1406_095,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X1,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_1407_096,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X1)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_1408_097,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_1409_098,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_1410_099,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_1411_100,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_1412_101,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_1413_102,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_1414_103,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X1,X3,X4,X5)
| c_Natural_Oevaln(X2,X3,X4,X5) ) ).
cnf(i_0_1415_104,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X1,X4,X5)
| c_Natural_Oevaln(X3,X2,X4,X5) ) ).
cnf(i_0_1416_105,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X4,X1,X5)
| c_Natural_Oevaln(X3,X4,X2,X5) ) ).
cnf(i_0_1417_106,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X4,X5,X1)
| c_Natural_Oevaln(X3,X4,X5,X2) ) ).
cnf(i_0_1418_107,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1419_108,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1420_109,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1421_110,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1422_111,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1423_112,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1424_113,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1425,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[731]) ).
cnf(i_0_1426,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[732]) ).
cnf(i_0_1427,plain,
( X1 = X1
| X2 = X1 ),
inference(equality_inference,[],[733]) ).
cnf(i_0_1428,plain,
( X1 = X1
| X1 = X2 ),
inference(equality_inference,[],[734]) ).
cnf(i_0_1429,plain,
( X1 = X1
| hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
| hBOOL(hAPP(hAPP(c_in(X2),X3),X1)) ),
inference(equality_inference,[],[796]) ).
cnf(i_0_1430,plain,
X1 = X1,
inference(equality_inference,[],[798]) ).
cnf(i_0_1431,plain,
X1 = X1,
inference(equality_inference,[],[853]) ).
cnf(i_0_1432,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,[],[869]) ).
cnf(i_0_1433,plain,
X1 = X1,
inference(equality_inference,[],[935]) ).
cnf(i_0_1434,plain,
X1 = X1,
inference(equality_inference,[],[936]) ).
cnf(i_0_1435,plain,
X1 = X1,
inference(equality_inference,[],[937]) ).
cnf(i_0_1436,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,[],[942]) ).
cnf(i_0_1437,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1162]) ).
cnf(i_0_1438,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1163]) ).
cnf(i_0_1439,plain,
X1 = X1,
inference(equality_inference,[],[1164]) ).
cnf(i_0_1440,plain,
X1 = X1,
inference(equality_inference,[],[1165]) ).
cnf(i_0_1441,plain,
X1 = X1,
inference(equality_inference,[],[1166]) ).
cnf(i_0_1442,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[1244]) ).
cnf(i_0_1443,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[1245]) ).
cnf(i_0_1444,plain,
X1 = X1,
inference(equality_inference,[],[1267]) ).
cnf(i_0_1445,plain,
X1 = X1,
inference(equality_inference,[],[1268]) ).
cnf(i_0_1446,plain,
X1 = X1,
inference(equality_inference,[],[1269]) ).
cnf(i_0_1447,plain,
X1 = X1,
inference(equality_inference,[],[1270]) ).
cnf(i_0_1448,plain,
X1 = X1,
inference(equality_inference,[],[1290]) ).
cnf(i_0_1449,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(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))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1051,i_0_760]) ).
cnf(i_0_1450,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool))),X3) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X3),tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_760]) ).
cnf(i_0_1451,plain,
c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),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))),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_1051,i_0_760,i_0_765]) ).
cnf(i_0_1452,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_Finite__Set_Osetsum(X4,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),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,tc_nat) = c_Finite__Set_Osetsum(X4,X3,X1,tc_nat) ),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_1453,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_1051,i_0_760,i_0_765,i_0_795]) ).
cnf(i_0_1454,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_795]) ).
cnf(i_0_1455,plain,
c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5) = c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),
inference(scs_inference,[],[i_0_1051,i_0_760,i_0_765,i_0_795,i_0_810]) ).
cnf(i_0_1456,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_810]) ).
cnf(i_0_1457,plain,
c_Lattices_Olower__semilattice__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)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1051,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825]) ).
cnf(i_0_1458,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_825]) ).
cnf(i_0_1459,plain,
c_Lattices_Olower__semilattice__class_Oinf(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_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1051,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826]) ).
cnf(i_0_1460,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_826]) ).
cnf(i_0_1461,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4))),
inference(scs_inference,[],[i_0_1051,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844]) ).
cnf(i_0_1462,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1051]) ).
cnf(i_0_1463,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_844]) ).
cnf(i_0_1464,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_1051,i_0_1129,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855]) ).
cnf(i_0_1465,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1129]) ).
cnf(i_0_1466,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_855]) ).
cnf(i_0_1467,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,hAPP(c_fequal(X2),hAPP(X1,X3)),X4,X5),X3)),
inference(scs_inference,[],[i_0_1236,i_0_1051,i_0_1129,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896]) ).
cnf(i_0_1468,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(rename_variables,[],[i_0_1236]) ).
cnf(i_0_1469,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_896]) ).
cnf(i_0_1470,plain,
c_Set_Ovimage(c_COMBK(X1,X2,X3),c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X2,X5),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1236,i_0_1051,i_0_1129,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989]) ).
cnf(i_0_1471,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_989]) ).
cnf(i_0_1472,plain,
hBOOL(hAPP(hAPP(c_in(X1),v_Z),c_SetInterval_Oord_OlessThan(v_P,v_s,X1))),
inference(scs_inference,[],[i_0_1258,i_0_1236,i_0_1051,i_0_1129,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007]) ).
cnf(i_0_1473,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_1007]) ).
cnf(i_0_1474,plain,
hBOOL(hAPP(hAPP(c_in(X1),v_s),c_SetInterval_Oord_OgreaterThan(v_P,v_Z,X1))),
inference(scs_inference,[],[i_0_1258,i_0_1236,i_0_1051,i_0_1129,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008]) ).
cnf(i_0_1475,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_1008]) ).
cnf(i_0_1476,plain,
hBOOL(hAPP(hAPP(c_in(X1),v_Z),c_SetInterval_Oord_OatMost(v_P,v_s,X1))),
inference(scs_inference,[],[i_0_1258,i_0_1236,i_0_1051,i_0_1129,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009]) ).
cnf(i_0_1477,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_1009]) ).
cnf(i_0_1478,plain,
c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(v_R,v_Z),X1),v_s_H,X2,v_s_H),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1236,i_0_1051,i_0_1129,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082]) ).
cnf(i_0_1479,plain,
( hBOOL(hAPP(X1,X2))
| c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X2) ),
inference(rename_variables,[],[i_0_1082]) ).
cnf(i_0_1480,plain,
c_Hoare__Mirabelle_Ohoare__valids(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1236,i_0_1051,i_0_1462,i_0_1129,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086]) ).
cnf(i_0_1481,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1051]) ).
cnf(i_0_1482,plain,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__3(X1,X2)),X2))
| c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a) ),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1483,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),hAPP(X1,X3)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4,X2),X3)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1236,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144]) ).
cnf(i_0_1484,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(X3,X2)) ),
inference(rename_variables,[],[i_0_1144]) ).
cnf(i_0_1485,plain,
c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(v_R,v_Z),X1),v_s_H,v_s_H),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1236,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229]) ).
cnf(i_0_1486,plain,
( hBOOL(hAPP(X1,X2))
| c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X3),X2,X2) ),
inference(rename_variables,[],[i_0_1229]) ).
cnf(i_0_1487,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_1258,i_0_1237,i_0_1062,i_0_1236,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244]) ).
cnf(i_0_1488,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_1244]) ).
cnf(i_0_1489,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_1258,i_0_1237,i_0_1099,i_0_1062,i_0_1236,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245]) ).
cnf(i_0_1490,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1099]) ).
cnf(i_0_1491,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1492,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X8),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1292,i_0_1099,i_0_1062,i_0_1236,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717]) ).
cnf(i_0_1493,plain,
X1 != c_Suc(X1),
inference(rename_variables,[],[i_0_1292]) ).
cnf(i_0_1494,plain,
( 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) ),
inference(rename_variables,[],[i_0_717]) ).
cnf(i_0_1495,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8,X7),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718]) ).
cnf(i_0_1496,plain,
X1 != c_Suc(X1),
inference(rename_variables,[],[i_0_1292]) ).
cnf(i_0_1497,plain,
( 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) ),
inference(rename_variables,[],[i_0_718]) ).
cnf(i_0_1498,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_Z),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_SetInterval_Oord_OlessThan(v_P,v_s,X1)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_Z),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))),tc_fun(X1,tc_bool)) = c_SetInterval_Oord_OlessThan(v_P,v_s,X1),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759]) ).
cnf(i_0_1499,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),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),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)) = X3 ),
inference(rename_variables,[],[i_0_759]) ).
cnf(i_0_1500,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool))),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771]) ).
cnf(i_0_1501,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool))),X3) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X3) ),
inference(rename_variables,[],[i_0_771]) ).
cnf(i_0_1502,plain,
c_Lattices_Olower__semilattice__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)),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,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)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793]) ).
cnf(i_0_1503,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_793]) ).
cnf(i_0_1504,plain,
c_Lattices_Olower__semilattice__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)),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(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_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1051,i_0_1462,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794]) ).
cnf(i_0_1505,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_794]) ).
cnf(i_0_1506,plain,
c_Finite__Set_Ocard(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) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815]) ).
cnf(i_0_1507,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
| c_Finite__Set_Ocard(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) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) ),
inference(rename_variables,[],[i_0_815]) ).
cnf(i_0_1508,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),hAPP(X2,X3)),c_Set_Oimage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X5,tc_fun(X4,tc_bool)),X4,X1),tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X5,tc_fun(X4,tc_bool)),X4,X1),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841]) ).
cnf(i_0_1509,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_841]) ).
cnf(i_0_1510,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_1258,i_0_1237,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854]) ).
cnf(i_0_1511,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_854]) ).
cnf(i_0_1512,plain,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Suc(c_Orderings_Obot__class_Obot(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_1258,i_0_1237,i_0_1291,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861]) ).
cnf(i_0_1513,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1514,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_861]) ).
cnf(i_0_1515,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)),X5,tc_fun(X4,tc_bool)),X1,X4))),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1291,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868]) ).
cnf(i_0_1516,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_780]) ).
cnf(i_0_1517,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_868]) ).
cnf(i_0_1518,plain,
hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X5,tc_fun(X4,tc_bool)),X4,X1))),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1291,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875]) ).
cnf(i_0_1519,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_875]) ).
cnf(i_0_1520,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),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),tc_fun(X1,tc_bool)) = 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(scs_inference,[],[i_0_1258,i_0_1237,i_0_1291,i_0_1292,i_0_1493,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880]) ).
cnf(i_0_1521,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_880]) ).
cnf(i_0_1522,plain,
c_lessequals(c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(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_1258,i_0_1237,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891]) ).
cnf(i_0_1523,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_891]) ).
cnf(i_0_1524,plain,
c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(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_1258,i_0_1237,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893]) ).
cnf(i_0_1525,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_893]) ).
cnf(i_0_1526,plain,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X4,tc_fun(X3,tc_bool)),X1,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X4,tc_fun(X3,tc_bool)),X1,X3,tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903]) ).
cnf(i_0_1527,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_903]) ).
cnf(i_0_1528,plain,
c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X4,tc_fun(X3,tc_bool)),X1,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930]) ).
cnf(i_0_1529,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_930]) ).
cnf(i_0_1530,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1252,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1099,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931]) ).
cnf(i_0_1531,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_1532,plain,
( ~ c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_931]) ).
cnf(i_0_1533,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_1258,i_0_1237,i_0_1252,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1099,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990]) ).
cnf(i_0_1534,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_851]) ).
cnf(i_0_1535,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)) = X3
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_990]) ).
cnf(i_0_1536,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_1258,i_0_1237,i_0_1252,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1120,i_0_1099,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014]) ).
cnf(i_0_1537,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_1120]) ).
cnf(i_0_1538,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_1014]) ).
cnf(i_0_1539,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_1258,i_0_1237,i_0_1252,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1120,i_0_1537,i_0_1099,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015]) ).
cnf(i_0_1540,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_1120]) ).
cnf(i_0_1541,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_1015]) ).
cnf(i_0_1542,plain,
c_lessequals(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)),X1,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1252,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1120,i_0_1537,i_0_1099,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016]) ).
cnf(i_0_1543,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1118]) ).
cnf(i_0_1544,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_1016]) ).
cnf(i_0_1545,plain,
c_lessequals(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)),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1252,i_0_1291,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_1099,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017]) ).
cnf(i_0_1546,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1118]) ).
cnf(i_0_1547,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_1017]) ).
cnf(i_0_1548,plain,
~ c_lessequals(c_Suc(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)),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_1099,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117]) ).
cnf(i_0_1549,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1550,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_1117]) ).
cnf(i_0_1551,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_1258,i_0_1237,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135]) ).
cnf(i_0_1552,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_1135]) ).
cnf(i_0_1553,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_1258,i_0_1237,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146]) ).
cnf(i_0_1554,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_957]) ).
cnf(i_0_1555,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_1146]) ).
cnf(i_0_1556,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207]) ).
cnf(i_0_1557,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1266]) ).
cnf(i_0_1558,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1207]) ).
cnf(i_0_1559,plain,
~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_1243,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208]) ).
cnf(i_0_1560,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1243]) ).
cnf(i_0_1561,plain,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1208]) ).
cnf(i_0_1562,plain,
c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_1243,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235]) ).
cnf(i_0_1563,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1235]) ).
cnf(i_0_1564,plain,
c_lessequals(X1,X1,tc_bool),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262]) ).
cnf(i_0_1565,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1262]) ).
cnf(i_0_1566,plain,
c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313]) ).
cnf(i_0_1567,plain,
~ c_lessequals(c_Suc(c_Suc(c_Suc(X1))),X1,tc_nat),
inference(scs_inference,[],[i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160]) ).
cnf(i_0_1568,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1160]) ).
cnf(i_0_1569,plain,
hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1)),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979]) ).
cnf(i_0_1570,plain,
( ~ hBOOL(hAPP(hAPP(v_P,X1),X2))
| hBOOL(hAPP(hAPP(v_Q,X1),X3))
| ~ c_Natural_Oevaln(v_c,X2,v_n,X3) ),
inference(rename_variables,[],[i_0_979]) ).
cnf(i_0_1571,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_in(X3),X4,X5,X6,X7,X8,X9),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1129,i_0_730,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715]) ).
cnf(i_0_1572,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1051]) ).
cnf(i_0_1573,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_780]) ).
cnf(i_0_1574,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_715]) ).
cnf(i_0_1575,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_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723]) ).
cnf(i_0_1576,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1051]) ).
cnf(i_0_1577,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_723]) ).
cnf(i_0_1578,plain,
hBOOL(hAPP(hAPP(c_in(X1),v_Z),c_SetInterval_Oord_OgreaterThanAtMost(v_P,c_fequal(X2),v_Z,v_s,X1))),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768]) ).
cnf(i_0_1579,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(rename_variables,[],[i_0_1236]) ).
cnf(i_0_1580,plain,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X5),X2))
| hBOOL(hAPP(hAPP(c_in(X6),X2),c_SetInterval_Oord_OgreaterThanAtMost(X1,X4,X5,X3,X6))) ),
inference(rename_variables,[],[i_0_768]) ).
cnf(i_0_1581,plain,
hBOOL(hAPP(hAPP(c_in(X1),v_Z),c_SetInterval_Oord_OatLeastLessThan(c_fequal(X2),v_P,v_Z,v_s,X1))),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769]) ).
cnf(i_0_1582,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(rename_variables,[],[i_0_1236]) ).
cnf(i_0_1583,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_769]) ).
cnf(i_0_1584,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThanLessThan(c_fequal(X3),X2,X2,X1))),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876]) ).
cnf(i_0_1585,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_876]) ).
cnf(i_0_1586,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877]) ).
cnf(i_0_1587,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_877]) ).
cnf(i_0_1588,plain,
~ c_lessequals(c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),X4,tc_fun(X2,tc_bool)),X2,X5),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881]) ).
cnf(i_0_1589,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1051]) ).
cnf(i_0_1590,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_881]) ).
cnf(i_0_1591,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2))),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925]) ).
cnf(i_0_1592,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_780]) ).
cnf(i_0_1593,plain,
( ~ 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))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(rename_variables,[],[i_0_925]) ).
cnf(i_0_1594,plain,
c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(v_P,v_Z),v_c,X1),v_s,v_n,v_s1),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933]) ).
cnf(i_0_1595,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
| ~ c_Natural_Oevaln(X3,X2,X5,X6) ),
inference(rename_variables,[],[i_0_933]) ).
cnf(i_0_1596,plain,
c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(v_R,v_Z),X1,c_Com_Ocom_OSKIP),v_s_H,X2,v_s_H),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938]) ).
cnf(i_0_1597,plain,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_1598,plain,
( hBOOL(hAPP(X1,X2))
| c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
| ~ c_Natural_Oevaln(X4,X2,X5,X6) ),
inference(rename_variables,[],[i_0_938]) ).
cnf(i_0_1599,plain,
hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_s),X2,tc_fun(X1,tc_bool)),hAPP(v_P,v_Z),X1)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_s),X2,tc_fun(X1,tc_bool)))),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947]) ).
cnf(i_0_1600,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_780]) ).
cnf(i_0_1601,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_947]) ).
cnf(i_0_1602,plain,
hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_s),X2,tc_fun(X1,tc_bool)),hAPP(v_P,v_Z),X1)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_s),X2,tc_fun(X1,tc_bool)))),
inference(scs_inference,[],[i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948]) ).
cnf(i_0_1603,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_780]) ).
cnf(i_0_1604,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_948]) ).
cnf(i_0_1605,plain,
c_Natural_Oevaln(v_d,v_s1,c_Suc(v_n),v_s_H),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956]) ).
cnf(i_0_1606,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_Natural_Oevaln(X3,X4,X1,X5)
| c_Natural_Oevaln(X3,X4,X2,X5) ),
inference(rename_variables,[],[i_0_956]) ).
cnf(i_0_1607,plain,
hBOOL(hAPP(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_s_H),v_s_H)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972]) ).
cnf(i_0_1608,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_782]) ).
cnf(i_0_1609,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_972]) ).
cnf(i_0_1610,plain,
~ hBOOL(hAPP(hAPP(v_R,v_Z),c_ATP__Linkup_Osko__Set__XballE__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_s_H),X2,tc_fun(X1,tc_bool)),hAPP(v_R,v_Z),X1))),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977]) ).
cnf(i_0_1611,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_780]) ).
cnf(i_0_1612,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1)))
| hBOOL(hAPP(X4,X2)) ),
inference(rename_variables,[],[i_0_977]) ).
cnf(i_0_1613,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996]) ).
cnf(i_0_1614,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1615,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X5)
| X5 = X2 ),
inference(rename_variables,[],[i_0_996]) ).
cnf(i_0_1616,plain,
~ c_HOL_Oord__class_Oless(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024]) ).
cnf(i_0_1617,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| ~ c_HOL_Oord__class_Oless(X4,X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1024]) ).
cnf(i_0_1618,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_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028]) ).
cnf(i_0_1619,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_1028]) ).
cnf(i_0_1620,plain,
c_Natural_Oevalc(c_Com_Ocom_OCond(hAPP(v_P,v_Z),c_Com_Ocom_OSKIP,X1),v_s,v_s),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085]) ).
cnf(i_0_1621,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
inference(rename_variables,[],[i_0_1264]) ).
cnf(i_0_1622,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X4),X2,X5)
| ~ c_Natural_Oevalc(X3,X2,X5) ),
inference(rename_variables,[],[i_0_1085]) ).
cnf(i_0_1623,plain,
c_Natural_Oevalc(c_Com_Ocom_OCond(hAPP(v_R,v_Z),X1,c_Com_Ocom_OSKIP),v_s_H,v_s_H),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087]) ).
cnf(i_0_1624,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
inference(rename_variables,[],[i_0_1264]) ).
cnf(i_0_1625,plain,
( hBOOL(hAPP(X1,X2))
| c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X4),X2,X5)
| ~ c_Natural_Oevalc(X4,X2,X5) ),
inference(rename_variables,[],[i_0_1087]) ).
cnf(i_0_1626,plain,
~ c_lessequals(hAPP(c_fequal(X1),v_s_H),hAPP(v_R,v_Z),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141]) ).
cnf(i_0_1627,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(rename_variables,[],[i_0_1236]) ).
cnf(i_0_1628,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1141]) ).
cnf(i_0_1629,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180]) ).
cnf(i_0_1630,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1631,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X3),X2,X4)
| X4 = X2 ),
inference(rename_variables,[],[i_0_1180]) ).
cnf(i_0_1632,plain,
hAPP(hAPP(v_P,v_Z),v_s) != hAPP(hAPP(v_R,v_Z),v_s_H),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391]) ).
cnf(i_0_1633,plain,
~ c_Natural_Oevaln(c_Set_Ovimage(c_COMBI(X1),c_Com_Ocom_OWhile(hAPP(c_in(X2),X3),X4),X1,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X5,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414]) ).
cnf(i_0_1634,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1635,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Set_Ovimage(c_COMBI(X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,X4),X5,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415]) ).
cnf(i_0_1636,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1637,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,c_Set_Ovimage(c_COMBI(X5),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X5,X5)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417]) ).
cnf(i_0_1638,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1639,plain,
c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_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))),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1531,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745]) ).
cnf(i_0_1640,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_780]) ).
cnf(i_0_1641,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_1642,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),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))),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_745]) ).
cnf(i_0_1643,plain,
~ c_HOL_Oord__class_Oless(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_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1531,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789]) ).
cnf(i_0_1644,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_780]) ).
cnf(i_0_1645,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1212]) ).
cnf(i_0_1646,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ c_HOL_Oord__class_Oless(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| c_HOL_Oord__class_Oless(X4,X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_789]) ).
cnf(i_0_1647,plain,
c_lessequals(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),X2),X3,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)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1531,i_0_1641,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820]) ).
cnf(i_0_1648,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_780]) ).
cnf(i_0_1649,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_1650,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_820]) ).
cnf(i_0_1651,plain,
~ c_HOL_Oord__class_Oless(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),X2),X3,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)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1531,i_0_1641,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821]) ).
cnf(i_0_1652,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_780]) ).
cnf(i_0_1653,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1212]) ).
cnf(i_0_1654,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| c_HOL_Oord__class_Oless(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_821]) ).
cnf(i_0_1655,plain,
c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(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)),X5,X4),X1,X5,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884]) ).
cnf(i_0_1656,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_1657,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_884]) ).
cnf(i_0_1658,plain,
c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X4,tc_fun(X3,tc_bool)),X1,X3,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1293,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951]) ).
cnf(i_0_1659,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_951]) ).
cnf(i_0_1660,plain,
c_Lattices_Olower__semilattice__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)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1293,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987]) ).
cnf(i_0_1661,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_987]) ).
cnf(i_0_1662,plain,
~ c_lessequals(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1293,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992]) ).
cnf(i_0_1663,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_1664,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_992]) ).
cnf(i_0_1665,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_COMBK(X2,tc_bool,X1),X1,tc_bool) = X2,
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1293,i_0_1296,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030]) ).
cnf(i_0_1666,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1667,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_1030]) ).
cnf(i_0_1668,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1293,i_0_1296,i_0_1308,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068]) ).
cnf(i_0_1669,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1266]) ).
cnf(i_0_1670,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_1068]) ).
cnf(i_0_1671,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1669,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1293,i_0_1296,i_0_1308,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070]) ).
cnf(i_0_1672,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1266]) ).
cnf(i_0_1673,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_1070]) ).
cnf(i_0_1674,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072]) ).
cnf(i_0_1675,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1266]) ).
cnf(i_0_1676,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_1072]) ).
cnf(i_0_1677,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074]) ).
cnf(i_0_1678,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1266]) ).
cnf(i_0_1679,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_1074]) ).
cnf(i_0_1680,plain,
~ c_lessequals(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat)),X1,tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096]) ).
cnf(i_0_1681,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1243]) ).
cnf(i_0_1682,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4)
| ~ c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1096]) ).
cnf(i_0_1683,plain,
~ c_lessequals(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat)),X2,tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1120,i_0_1537,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097]) ).
cnf(i_0_1684,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1243]) ).
cnf(i_0_1685,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4)
| ~ c_lessequals(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1097]) ).
cnf(i_0_1686,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104]) ).
cnf(i_0_1687,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1118]) ).
cnf(i_0_1688,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1211]) ).
cnf(i_0_1689,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_1104]) ).
cnf(i_0_1690,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X1),X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126]) ).
cnf(i_0_1691,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1126]) ).
cnf(i_0_1692,plain,
~ c_HOL_Oord__class_Oless(hAPP(c_fequal(X1),v_s_H),hAPP(v_R,v_Z),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128]) ).
cnf(i_0_1693,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1128]) ).
cnf(i_0_1694,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_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),X2),X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134]) ).
cnf(i_0_1695,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1696,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(rename_variables,[],[i_0_1134]) ).
cnf(i_0_1697,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,c_Suc(X1)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161]) ).
cnf(i_0_1698,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
inference(rename_variables,[],[i_0_1264]) ).
cnf(i_0_1699,plain,
( ~ c_Natural_Oevalc(X1,X2,X3)
| X4 = X3
| ~ c_Natural_Oevalc(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1161]) ).
cnf(i_0_1700,plain,
~ class_OrderedGroup_Oab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163]) ).
cnf(i_0_1701,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_852]) ).
cnf(i_0_1702,plain,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4)
| X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(rename_variables,[],[i_0_1163]) ).
cnf(i_0_1703,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205]) ).
cnf(i_0_1704,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X2,X3,X1) ),
inference(rename_variables,[],[i_0_1205]) ).
cnf(i_0_1705,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222]) ).
cnf(i_0_1706,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1222]) ).
cnf(i_0_1707,plain,
c_lessequals(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223]) ).
cnf(i_0_1708,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1223]) ).
cnf(i_0_1709,plain,
c_Suc(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4)) != c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314]) ).
cnf(i_0_1710,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1711,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X7,X8,X9,X10,X11,X12,c_Suc(hAPP(c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)))),X13),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366]) ).
cnf(i_0_1712,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Oimage(X2,c_Set_Oimage(X3,X4,X5,X6),X6,X7),X8,X9,X10,X11,c_Suc(hAPP(c_Set_Oimage(c_COMBB(X2,X3,X6,X7,X5),X4,X5,X7),c_Orderings_Obot__class_Obot(tc_fun(X12,tc_bool)))),X13,X12),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367]) ).
cnf(i_0_1713,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_Set_Ovimage(c_COMBI(X3),c_in(X4),X3,X3),X5,X6,X7,X8,X9,X10),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368]) ).
cnf(i_0_1714,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1715,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Oimage(c_COMBB(X2,X3,X4,X5,X6),X7,X6,X5),X8,X9,X10,X11,c_Set_Ovimage(c_COMBI(X12),c_Suc(hAPP(c_Set_Oimage(c_COMBB(X2,X3,X4,X5,X6),X7,X6,X5),c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)))),X12,X12),X14,X13),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372]) ).
cnf(i_0_1716,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1717,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4),X7,X8,X9,X10,X11,X12,c_Set_Ovimage(c_COMBI(X13),c_Suc(hAPP(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4),c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)))),X13,X13),X14),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373]) ).
cnf(i_0_1718,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1719,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4),X7,X8,X9,X10,X11,X12,c_Suc(hAPP(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4),c_Orderings_Obot__class_Obot(tc_fun(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4),tc_bool)))),c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374]) ).
cnf(i_0_1720,plain,
~ c_Natural_Oevalc(c_Set_Ovimage(c_COMBI(X1),c_Com_Ocom_OWhile(hAPP(c_in(X2),X3),X4),X1,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383]) ).
cnf(i_0_1721,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1722,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Set_Ovimage(c_COMBI(X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,X4),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384]) ).
cnf(i_0_1723,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1724,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Ovimage(c_COMBI(X4),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X4,X4)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385]) ).
cnf(i_0_1725,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1726,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_Set_Ovimage(c_COMBI(X2),tc_fun(X3,tc_bool),X2,X2)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420]) ).
cnf(i_0_1727,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1728,plain,
~ c_lessequals(c_Set_Ovimage(c_COMBI(X1),c_Suc(X2),X1,X1),X2,tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421]) ).
cnf(i_0_1729,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1730,plain,
~ c_lessequals(c_Suc(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4)),c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4),tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422]) ).
cnf(i_0_1731,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1243]) ).
cnf(i_0_1732,plain,
~ c_lessequals(c_Suc(X1),X1,c_Set_Ovimage(c_COMBI(X2),tc_nat,X2,X2)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423]) ).
cnf(i_0_1733,plain,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1734,plain,
~ c_HOL_Oord__class_Oless(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089]) ).
cnf(i_0_1735,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1089]) ).
cnf(i_0_1736,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155]) ).
cnf(i_0_1737,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1155]) ).
cnf(i_0_1738,plain,
~ c_HOL_Oord__class_Oless(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),tc_fun(X7,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418]) ).
cnf(i_0_1739,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1212]) ).
cnf(i_0_1740,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4),c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4),tc_fun(X7,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419]) ).
cnf(i_0_1741,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1212]) ).
cnf(i_0_1742,plain,
~ c_HOL_Oord__class_Oless(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)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744]) ).
cnf(i_0_1743,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_780]) ).
cnf(i_0_1744,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1051]) ).
cnf(i_0_1745,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1131]) ).
cnf(i_0_1746,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),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))),X4,tc_fun(X1,tc_bool))
| ~ c_HOL_Oord__class_Oless(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_744]) ).
cnf(i_0_1747,plain,
c_HOL_Oord__class_Oless(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),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817]) ).
cnf(i_0_1748,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1051]) ).
cnf(i_0_1749,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
inference(rename_variables,[],[i_0_1051]) ).
cnf(i_0_1750,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_1751,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| c_HOL_Oord__class_Oless(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_817]) ).
cnf(i_0_1752,plain,
~ class_OrderedGroup_Opordered__ab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075]) ).
cnf(i_0_1753,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_1754,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1131]) ).
cnf(i_0_1755,plain,
( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1) ),
inference(rename_variables,[],[i_0_1075]) ).
cnf(i_0_1756,plain,
c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(c_Suc(c_Suc(X1))),tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1297,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075,i_0_1132]) ).
cnf(i_0_1757,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1132]) ).
cnf(i_0_1758,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4),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))) = c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1297,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075,i_0_1132,i_0_756]) ).
cnf(i_0_1759,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_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))) = X3 ),
inference(rename_variables,[],[i_0_756]) ).
cnf(i_0_1760,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4),X7,c_Suc(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4))),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1297,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075,i_0_1132,i_0_756,i_0_1011]) ).
cnf(i_0_1761,plain,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_1011]) ).
cnf(i_0_1762,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Oimage(c_COMBB(X2,X3,X4,X5,X6),X7,X6,X5),X8,X9,X10,X11,c_Suc(hAPP(c_Set_Oimage(c_COMBB(X2,X3,X4,X5,X6),X7,X6,X5),c_Orderings_Obot__class_Obot(tc_fun(c_Set_Oimage(c_COMBB(X2,X3,X4,X5,X6),X7,X6,X5),tc_bool)))),X12,c_Set_Oimage(X2,c_Set_Oimage(X3,X7,X6,X4),X4,X5)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1297,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075,i_0_1132,i_0_756,i_0_1011,i_0_708]) ).
cnf(i_0_1763,plain,
( 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) ),
inference(rename_variables,[],[i_0_708]) ).
cnf(i_0_1764,plain,
c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_s),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),hAPP(v_P,v_Z),X1) = v_s,
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1297,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075,i_0_1132,i_0_756,i_0_1011,i_0_708,i_0_751]) ).
cnf(i_0_1765,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),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))))
| X2 = X3 ),
inference(rename_variables,[],[i_0_751]) ).
cnf(i_0_1766,plain,
~ c_HOL_Oord__class_Oless(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1297,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075,i_0_1132,i_0_756,i_0_1011,i_0_708,i_0_751,i_0_1142]) ).
cnf(i_0_1767,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1142]) ).
cnf(i_0_1768,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Suc(X2),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1297,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075,i_0_1132,i_0_756,i_0_1011,i_0_708,i_0_751,i_0_1142,i_0_1200]) ).
cnf(i_0_1769,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1200]) ).
cnf(i_0_1770,plain,
c_lessequals(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),tc_nat),
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1297,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075,i_0_1132,i_0_756,i_0_1011,i_0_708,i_0_751,i_0_1142,i_0_1200,i_0_1228]) ).
cnf(i_0_1771,plain,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1228]) ).
cnf(i_0_1772,plain,
$false,
inference(scs_inference,[],[i_0_1106,i_0_1107,i_0_1258,i_0_1237,i_0_1105,i_0_1264,i_0_1621,i_0_1624,i_0_1266,i_0_1557,i_0_1669,i_0_1672,i_0_1675,i_0_1678,i_0_1252,i_0_1531,i_0_1641,i_0_1649,i_0_1656,i_0_1663,i_0_1291,i_0_1513,i_0_1549,i_0_1614,i_0_1630,i_0_1666,i_0_1292,i_0_1493,i_0_1118,i_0_1543,i_0_1546,i_0_1687,i_0_1120,i_0_1537,i_0_1121,i_0_1211,i_0_804,i_0_1098,i_0_1634,i_0_1636,i_0_1638,i_0_1714,i_0_1716,i_0_1718,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1099,i_0_957,i_0_851,i_0_852,i_0_1145,i_0_1062,i_0_1236,i_0_1468,i_0_1579,i_0_1582,i_0_780,i_0_1516,i_0_1573,i_0_1592,i_0_1600,i_0_1603,i_0_1611,i_0_1640,i_0_1644,i_0_1648,i_0_1652,i_0_782,i_0_1051,i_0_1462,i_0_1481,i_0_1572,i_0_1576,i_0_1589,i_0_1744,i_0_1129,i_0_730,i_0_762,i_0_1212,i_0_1645,i_0_1653,i_0_1739,i_0_1243,i_0_1560,i_0_1681,i_0_1684,i_0_1731,i_0_1131,i_0_1745,i_0_1293,i_0_1294,i_0_1295,i_0_1296,i_0_1297,i_0_1299,i_0_1308,i_0_1311,i_0_760,i_0_765,i_0_795,i_0_810,i_0_825,i_0_826,i_0_844,i_0_855,i_0_896,i_0_989,i_0_1007,i_0_1008,i_0_1009,i_0_1082,i_0_1086,i_0_1144,i_0_1229,i_0_1244,i_0_1245,i_0_717,i_0_718,i_0_759,i_0_771,i_0_793,i_0_794,i_0_815,i_0_841,i_0_854,i_0_861,i_0_868,i_0_875,i_0_880,i_0_891,i_0_893,i_0_903,i_0_930,i_0_931,i_0_990,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1117,i_0_1135,i_0_1146,i_0_1207,i_0_1208,i_0_1235,i_0_1262,i_0_1313,i_0_1160,i_0_979,i_0_715,i_0_723,i_0_768,i_0_769,i_0_876,i_0_877,i_0_881,i_0_925,i_0_933,i_0_938,i_0_947,i_0_948,i_0_956,i_0_972,i_0_977,i_0_996,i_0_1024,i_0_1028,i_0_1085,i_0_1087,i_0_1141,i_0_1180,i_0_1391,i_0_1414,i_0_1415,i_0_1417,i_0_745,i_0_789,i_0_820,i_0_821,i_0_884,i_0_951,i_0_987,i_0_992,i_0_1030,i_0_1068,i_0_1070,i_0_1072,i_0_1074,i_0_1096,i_0_1097,i_0_1104,i_0_1126,i_0_1128,i_0_1134,i_0_1161,i_0_1163,i_0_1205,i_0_1222,i_0_1223,i_0_1314,i_0_1366,i_0_1367,i_0_1368,i_0_1372,i_0_1373,i_0_1374,i_0_1383,i_0_1384,i_0_1385,i_0_1420,i_0_1421,i_0_1422,i_0_1423,i_0_1089,i_0_1155,i_0_1418,i_0_1419,i_0_744,i_0_817,i_0_1075,i_0_1132,i_0_756,i_0_1011,i_0_708,i_0_751,i_0_1142,i_0_1200,i_0_1228,i_0_978]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV861-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n029.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 06:05:14 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.34/1.66 % Version : CSE_E---1.7
% 1.34/1.66 % Problem : theBenchmark.p
% 1.34/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 1.34/1.66 % SZS output start CNFRefutation
% See solution above
% 4.48/4.81 % Total time : 1.325s
%------------------------------------------------------------------------------