%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT019-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:07:34 PM UTC 2026
% Result : Unsatisfiable 128.68s 19.24s
% Output : CNFRefutation 128.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 85
% Syntax : Number of clauses : 394 ( 153 unt; 34 nHn; 164 RR)
% Number of literals : 686 ( 174 equ; 297 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 6 con; 0-5 aty)
% Number of variables : 892 ( 344 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_top__fun__eq_0,axiom,
( ~ class_Orderings_Otop(X1)
| hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__fun__eq_0) ).
cnf(cls_UNIV__eq__I_0,axiom,
( ~ hBOOL(c_in(c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1(X2,X1),X2,X1))
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__eq__I_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_sup__top__left_0,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X1),X2) = c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
cnf(cls_inf__sup__aci_I5_J_0,axiom,
( ~ class_Lattices_Olattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
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(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top1I_0) ).
cnf(cls_sup__top__right_0,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
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_top__greatest_0,axiom,
( ~ class_Orderings_Otop(X1)
| c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top__greatest_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_UNIV__I_0,axiom,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
cnf(cls_insert__absorb_0,axiom,
( ~ hBOOL(c_in(X1,X3,X2))
| hAPP(c_Set_Oinsert(X1,X2),X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_order__eq__iff_2,axiom,
( ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1)
| ~ class_Orderings_Oorder(X1)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(X2,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(cls_sup__inf__absorb_0,axiom,
( ~ class_Lattices_Olattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).
cnf(cls_inf__absorb2_0,axiom,
( ~ c_lessequals(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
cnf(cls_ball__UNIV_1,axiom,
( ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1(X1,X3)))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__UNIV_1) ).
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(cls_sup__bot__left_0,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X1),X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
cnf(cls_bex__UNIV_2,axiom,
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__UNIV_2) ).
cnf(cls_le__infI2_0,axiom,
( ~ c_lessequals(X3,X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3),X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI2_0) ).
cnf(cls_inf__sup__absorb_0,axiom,
( ~ class_Lattices_Olattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
cnf(cls_bot__fun__eq_0,axiom,
( ~ class_Orderings_Obot(X1)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
cnf(cls_inf__bot__left_0,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X1),X2) = c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).
cnf(cls_le__funD_0,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X5,X1))
| ~ class_HOL_Oord(X1)
| c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
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_le__infE_0,axiom,
( ~ c_lessequals(X2,hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infE_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(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(cls_fun__diff__def_0,axiom,
( ~ class_HOL_Ominus(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2,tc_fun(t_a,X1)),X3),v_x) = hAPP(c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),X1),hAPP(X3,v_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__diff__def_0) ).
cnf(clsarity_bool__HOL_Ominus,axiom,
class_HOL_Ominus(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Ominus) ).
cnf(cls_empty__Diff_0,axiom,
hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),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_order__eq__iff_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_bex__UNIV_0,axiom,
( ~ hBOOL(c_in(X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__UNIV_0) ).
cnf(cls_acc__wfI_0,axiom,
( ~ hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2))
| c_Wellfounded_Owf(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acc__wfI_0) ).
cnf(cls_not__acc__down_0,axiom,
( hBOOL(c_in(X2,c_Wellfounded_Oacc(X1,X3),X3))
| hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__acc__down_0) ).
cnf(cls_inf__sup__ord_I1_J_0,axiom,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).
cnf(cls_Id__onE_0,axiom,
( ~ hBOOL(c_in(X2,c_Relation_OId__on(X1,X3),tc_prod(X3,X3)))
| hBOOL(c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__onE_0) ).
cnf(cls_wfE__pf_0,axiom,
( ~ c_Wellfounded_Owf(X3,X2)
| ~ c_lessequals(X1,hAPP(c_Relation_OImage(X3,X2,X2),X1),tc_fun(X2,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wfE__pf_0) ).
cnf(cls_Diff__triv_0,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(X2,tc_bool)),X3) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__triv_0) ).
cnf(cls_inf__top__left_0,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X1),X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__left_0) ).
cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| class_Lattices_Obounded__lattice(tc_fun(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
cnf(cls_irrefl__def_0,axiom,
( ~ c_Relation_Oirrefl(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_0) ).
cnf(cls_Image__Id__on_0,axiom,
hAPP(c_Relation_OImage(c_Relation_OId__on(X1,X2),X2,X2),X3) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Id__on_0) ).
cnf(cls_irrefl__diff__Id_0,axiom,
c_Relation_Oirrefl(hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(tc_prod(X2,X2),tc_bool)),c_Relation_OId(X2)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__diff__Id_0) ).
cnf(cls_Int__absorb_0,axiom,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb_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__top__right_0,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),c_Orderings_Otop__class_Otop(X1)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__right_0) ).
cnf(cls_inf1E_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X3,tc_bool)),X4),X2))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1E_0) ).
cnf(cls_Int__empty__left_0,axiom,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).
cnf(cls_wf__irrefl_0,axiom,
( ~ c_Wellfounded_Owf(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__irrefl_0) ).
cnf(cls_pair__in__Id__conv_1,axiom,
hBOOL(c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pair__in__Id__conv_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Relation_Oirrefl(hAPP(v_xa,X1),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_antisym__Id_0,axiom,
c_Relation_Oantisym(c_Relation_OId(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__Id_0) ).
cnf(cls_le__sup__iff_1,axiom,
( ~ c_lessequals(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4,X1),X2),X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(X1,hAPP(c_Set_Oinsert(X2,X3),X1),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_acyclic__converse_0,axiom,
( ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__converse_0) ).
cnf(cls_wf__acyclic_0,axiom,
( ~ c_Wellfounded_Owf(X1,X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__acyclic_0) ).
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(cls_antisym__subset_0,axiom,
( ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool))
| ~ c_Relation_Oantisym(X3,X2)
| c_Relation_Oantisym(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__subset_0) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_acyclic__subset_0,axiom,
( ~ c_Wellfounded_Oacyclic(X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool))
| c_Wellfounded_Oacyclic(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__subset_0) ).
cnf(cls_converse__converse_0,axiom,
c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__converse_0) ).
cnf(cls_Un__empty_1,axiom,
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
cnf(cls_antisym__def_0,axiom,
( ~ c_Relation_Oantisym(X4,X3)
| ~ hBOOL(c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)))
| ~ hBOOL(c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)))
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_antisym__def_0) ).
cnf(cls_wf__inv__image_0,axiom,
( ~ c_Wellfounded_Owf(X1,X3)
| c_Wellfounded_Owf(c_Relation_Oinv__image(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__inv__image_0) ).
cnf(cls_rtrancl__reflcl__absorb_0,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Relation_OId(X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__reflcl__absorb_0) ).
cnf(cls_rtrancl__reflcl_0,axiom,
c_Transitive__Closure_Ortrancl(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(tc_prod(X2,X2),tc_bool)),c_Relation_OId(X2)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__reflcl_0) ).
cnf(cls_Un__commute_0,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_fun(X2,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_trancl__id_0,axiom,
( ~ c_Relation_Otrans(X1,X2)
| c_Transitive__Closure_Otrancl(X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__id_0) ).
cnf(cls_conjecture_3,negated_conjecture,
v_F(v_xa) != hAPP(v_xa,v_i),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Diff__subset_0,axiom,
c_lessequals(hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(X2,tc_bool)),X3),X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset_0) ).
cnf(cls_acyclic__def_0,axiom,
( ~ c_Wellfounded_Oacyclic(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_acyclic__def_0) ).
cnf(cls_trancl__unfold__left_0,axiom,
c_Transitive__Closure_Otrancl(X1,X2) = c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__unfold__left_0) ).
cnf(cls_mem__def_0,axiom,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_r__into__rtrancl_0,axiom,
( ~ hBOOL(c_in(X1,X2,tc_prod(X3,X3)))
| hBOOL(c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_r__into__rtrancl_0) ).
cnf(cls_Id__O__R_0,axiom,
c_Relation_Orel__comp(c_Relation_OId(X1),X2,X1,X1,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Id__O__R_0) ).
cnf(cls_trans__Id_0,axiom,
c_Relation_Otrans(c_Relation_OId(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__Id_0) ).
cnf(cls_R__O__Id_0,axiom,
c_Relation_Orel__comp(X1,c_Relation_OId(X2),X3,X2,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_R__O__Id_0) ).
cnf(cls_UNIV__not__empty_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
cnf(c_0_85,plain,
( ~ class_Orderings_Otop(X1)
| hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1) ),
inference(fof_simplification,[status(thm)],[cls_top__fun__eq_0]) ).
cnf(c_0_86,plain,
( ~ hBOOL(c_in(c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1(X2,X1),X2,X1))
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = X2 ),
inference(fof_simplification,[status(thm)],[cls_UNIV__eq__I_0]) ).
cnf(c_0_87,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_88,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X1),X2) = c_Orderings_Otop__class_Otop(X1) ),
inference(fof_simplification,[status(thm)],[cls_sup__top__left_0]) ).
cnf(c_0_89,plain,
( ~ class_Orderings_Otop(X1)
| hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1) ),
c_0_85 ).
cnf(c_0_90,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop ).
cnf(c_0_91,plain,
( ~ class_Lattices_Olattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1),X2) ),
inference(fof_simplification,[status(thm)],[cls_inf__sup__aci_I5_J_0]) ).
cnf(c_0_92,plain,
( ~ hBOOL(c_in(c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1(X2,X1),X2,X1))
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = X2 ),
c_0_86 ).
cnf(c_0_93,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
c_0_87 ).
cnf(c_0_94,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X1),X2) = c_Orderings_Otop__class_Otop(X1) ),
c_0_88 ).
cnf(c_0_95,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice ).
cnf(c_0_96,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0 ).
cnf(c_0_97,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,tc_bool)),v_x) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_98,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1) ),
inference(fof_simplification,[status(thm)],[cls_sup__top__right_0]) ).
cnf(c_0_99,plain,
( ~ class_Lattices_Olattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1),X2) ),
c_0_91 ).
cnf(c_0_100,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice ).
cnf(c_0_101,plain,
( ~ hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1(X2,X1)))
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = X2 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_102,plain,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),X1) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_103,plain,
hBOOL(c_Orderings_Otop__class_Otop(tc_bool)),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1) ),
c_0_98 ).
cnf(c_0_105,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0 ).
cnf(c_0_106,plain,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,tc_bool),X1),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
cnf(c_0_108,plain,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),c_Orderings_Otop__class_Otop(tc_bool)) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_104,c_0_95]) ).
cnf(c_0_109,plain,
( ~ class_Orderings_Otop(X1)
| c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_top__greatest_0]) ).
cnf(c_0_110,plain,
( ~ hBOOL(X2)
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_COMBK(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_101,c_0_105]) ).
cnf(c_0_111,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2) = c_Orderings_Otop__class_Otop(tc_bool),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_112,plain,
( ~ class_Orderings_Otop(X1)
| c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1) ),
c_0_109 ).
cnf(c_0_113,plain,
( ~ hBOOL(X1)
| c_Orderings_Otop__class_Otop(tc_bool) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_110]),c_0_111]) ).
cnf(c_0_114,axiom,
hBOOL(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1)),
cls_insert__code_1 ).
cnf(c_0_115,axiom,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
cls_UNIV__I_0 ).
cnf(c_0_116,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),
inference(spm,[status(thm)],[c_0_112,c_0_90]) ).
cnf(c_0_117,plain,
c_Orderings_Otop__class_Otop(tc_bool) = hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
( ~ hBOOL(c_in(X1,X3,X2))
| hAPP(c_Set_Oinsert(X1,X2),X3) = X3 ),
inference(fof_simplification,[status(thm)],[cls_insert__absorb_0]) ).
cnf(c_0_119,plain,
hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),X2)),
inference(spm,[status(thm)],[c_0_115,c_0_107]) ).
cnf(c_0_120,plain,
c_lessequals(X1,hAPP(hAPP(c_Set_Oinsert(X2,X3),X4),X2),tc_bool),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_121,plain,
( ~ hBOOL(c_in(X1,X3,X2))
| hAPP(c_Set_Oinsert(X1,X2),X3) = X3 ),
c_0_118 ).
cnf(c_0_122,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3)),
inference(spm,[status(thm)],[c_0_119,c_0_107]) ).
cnf(c_0_123,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1)
| ~ class_Orderings_Oorder(X1)
| X2 = X3 ),
inference(fof_simplification,[status(thm)],[cls_order__eq__iff_2]) ).
cnf(c_0_124,plain,
( ~ hBOOL(c_in(X3,X2,X4))
| c_lessequals(X1,hAPP(X2,X3),tc_bool) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( ~ hBOOL(X2)
| hBOOL(c_in(X1,c_COMBK(X2,X3,X4),X5)) ),
inference(spm,[status(thm)],[c_0_122,c_0_110]) ).
cnf(c_0_126,plain,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(X2,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3),X1) ),
inference(fof_simplification,[status(thm)],[cls_inf__sup__ord_I3_J_0]) ).
cnf(c_0_127,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1)
| ~ class_Orderings_Oorder(X1)
| X2 = X3 ),
c_0_123 ).
cnf(c_0_128,plain,
( ~ hBOOL(X2)
| c_lessequals(X1,X2,tc_bool) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_105]) ).
cnf(c_0_129,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder ).
cnf(c_0_130,plain,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(X2,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3),X1) ),
c_0_126 ).
cnf(c_0_131,plain,
( ~ class_Lattices_Olattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3)) = X2 ),
inference(fof_simplification,[status(thm)],[cls_sup__inf__absorb_0]) ).
cnf(c_0_132,plain,
( ~ c_lessequals(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3) = X3 ),
inference(fof_simplification,[status(thm)],[cls_inf__absorb2_0]) ).
cnf(c_0_133,plain,
( ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1(X1,X3)))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_ball__UNIV_1]) ).
cnf(c_0_134,plain,
( ~ c_lessequals(X1,X2,tc_bool)
| ~ hBOOL(X1)
| X1 = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
cnf(c_0_135,plain,
c_lessequals(X1,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2),tc_bool),
inference(spm,[status(thm)],[c_0_130,c_0_100]) ).
cnf(c_0_136,plain,
( ~ class_Lattices_Olattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3)) = X2 ),
c_0_131 ).
cnf(c_0_137,plain,
( ~ c_lessequals(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3) = X3 ),
c_0_132 ).
cnf(c_0_138,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice ).
cnf(c_0_139,plain,
( ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1(X1,X3)))
| hBOOL(hAPP(X1,X2)) ),
c_0_133 ).
cnf(c_0_140,plain,
( ~ hBOOL(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2) = X1 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_141,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X1),X2) = X2 ),
inference(fof_simplification,[status(thm)],[cls_sup__bot__left_0]) ).
cnf(c_0_142,plain,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X2)) = X1,
inference(spm,[status(thm)],[c_0_136,c_0_100]) ).
cnf(c_0_143,plain,
( ~ c_lessequals(X2,X1,tc_bool)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X2) = X2 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_144,plain,
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(X1,X2))) ),
inference(fof_simplification,[status(thm)],[cls_bex__UNIV_2]) ).
cnf(c_0_145,plain,
( ~ hBOOL(X1)
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2)) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_146,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X1),X2) = X2 ),
c_0_141 ).
cnf(c_0_147,plain,
( ~ c_lessequals(X2,X1,tc_bool)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2) = X1 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_148,plain,
( ~ c_lessequals(X3,X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3),X4,X1) ),
inference(fof_simplification,[status(thm)],[cls_le__infI2_0]) ).
cnf(c_0_149,plain,
( ~ class_Lattices_Olattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3)) = X2 ),
inference(fof_simplification,[status(thm)],[cls_inf__sup__absorb_0]) ).
cnf(c_0_150,plain,
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(X1,X2))) ),
c_0_144 ).
cnf(c_0_151,plain,
( ~ hBOOL(X2)
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2)) ),
inference(spm,[status(thm)],[c_0_145,c_0_106]) ).
cnf(c_0_152,plain,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),X1) = X1,
inference(spm,[status(thm)],[c_0_146,c_0_95]) ).
cnf(c_0_153,plain,
( ~ class_Orderings_Obot(X1)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1) ),
inference(fof_simplification,[status(thm)],[cls_bot__fun__eq_0]) ).
cnf(c_0_154,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X1),X2) = c_Orderings_Obot__class_Obot(X1) ),
inference(fof_simplification,[status(thm)],[cls_inf__bot__left_0]) ).
cnf(c_0_155,plain,
( ~ c_lessequals(X2,X4,tc_fun(X5,X1))
| ~ class_HOL_Oord(X1)
| c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1) ),
inference(fof_simplification,[status(thm)],[cls_le__funD_0]) ).
cnf(c_0_156,plain,
( ~ c_lessequals(X1,X2,tc_bool)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2) = X2 ),
inference(spm,[status(thm)],[c_0_106,c_0_147]) ).
cnf(c_0_157,plain,
( ~ c_lessequals(X3,X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3),X4,X1) ),
c_0_148 ).
cnf(c_0_158,plain,
( ~ class_Lattices_Olattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3)) = X2 ),
c_0_149 ).
cnf(c_0_159,plain,
( ~ hBOOL(X3)
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2))) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_160,plain,
( ~ hBOOL(X2)
| hBOOL(c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_152]),c_0_152]) ).
cnf(c_0_161,plain,
( ~ class_Orderings_Obot(X1)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1) ),
c_0_153 ).
cnf(c_0_162,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot ).
cnf(c_0_163,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(fof_simplification,[status(thm)],[cls_bot1E_0]) ).
cnf(c_0_164,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X1),X2) = c_Orderings_Obot__class_Obot(X1) ),
c_0_154 ).
cnf(c_0_165,plain,
( ~ c_lessequals(X2,hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_le__infE_0]) ).
cnf(c_0_166,plain,
( ~ c_lessequals(X2,X4,tc_fun(X5,X1))
| ~ class_HOL_Oord(X1)
| c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1) ),
c_0_155 ).
cnf(c_0_167,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
cls_empty__subsetI_0 ).
cnf(c_0_168,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord ).
cnf(c_0_169,plain,
( ~ c_lessequals(X2,X1,tc_bool)
| ~ hBOOL(X2)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_156]) ).
cnf(c_0_170,plain,
( ~ c_lessequals(X2,X3,tc_bool)
| c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X2),X3,tc_bool) ),
inference(spm,[status(thm)],[c_0_157,c_0_138]) ).
cnf(c_0_171,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2)) = X1,
inference(spm,[status(thm)],[c_0_158,c_0_100]) ).
cnf(c_0_172,plain,
hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2))),
inference(spm,[status(thm)],[c_0_159,c_0_103]) ).
cnf(c_0_173,plain,
hBOOL(c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),X1)),
inference(spm,[status(thm)],[c_0_160,c_0_115]) ).
cnf(c_0_174,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_175,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
c_0_163 ).
cnf(c_0_176,plain,
( ~ class_HOL_Ominus(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2,tc_fun(t_a,X1)),X3),v_x) = hAPP(c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),X1),hAPP(X3,v_x)) ),
inference(fof_simplification,[status(thm)],[cls_fun__diff__def_0]) ).
cnf(c_0_177,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),X1) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_164,c_0_95]) ).
cnf(c_0_178,plain,
( ~ c_lessequals(X2,hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_lessequals(X2,X3,X1) ),
c_0_165 ).
cnf(c_0_179,plain,
c_lessequals(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),hAPP(X3,X2),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168])]) ).
cnf(c_0_180,plain,
( ~ c_lessequals(X3,X1,tc_bool)
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,tc_bool),X3))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_181,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,tc_bool),X1)) = X1,
inference(spm,[status(thm)],[c_0_171,c_0_106]) ).
cnf(c_0_182,plain,
( ~ c_lessequals(c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2),X1,tc_bool)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_147]) ).
cnf(c_0_183,plain,
c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),X1) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_113,c_0_173]) ).
cnf(c_0_184,plain,
~ hBOOL(c_Orderings_Obot__class_Obot(tc_bool)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_174]),c_0_175]) ).
cnf(c_0_185,plain,
( ~ class_HOL_Ominus(X1)
| hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2,tc_fun(t_a,X1)),X3),v_x) = hAPP(c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),X1),hAPP(X3,v_x)) ),
c_0_176 ).
cnf(c_0_186,axiom,
class_HOL_Ominus(tc_bool),
clsarity_bool__HOL_Ominus ).
cnf(c_0_187,plain,
( ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_bool),tc_bool)
| X1 = c_Orderings_Obot__class_Obot(tc_bool) ),
inference(spm,[status(thm)],[c_0_177,c_0_143]) ).
cnf(c_0_188,plain,
c_lessequals(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),X3,tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_138])]) ).
cnf(c_0_189,plain,
hBOOL(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(hAPP(c_Set_Oinsert(X1,X2),X3),X4))),
inference(spm,[status(thm)],[c_0_150,c_0_114]) ).
cnf(c_0_190,plain,
( ~ c_lessequals(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_bool),X2),X1,tc_bool)
| ~ hBOOL(X2)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_191,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_bool),c_Orderings_Obot__class_Obot(tc_bool),tc_bool),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_192,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(t_a,tc_bool)),X2),v_x) = hAPP(c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),tc_bool),hAPP(X2,v_x)),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_193,axiom,
hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_empty__Diff_0 ).
cnf(c_0_194,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_195,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_order__eq__iff_0]) ).
cnf(c_0_196,plain,
( ~ hBOOL(c_in(X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1(X1,X2))) ),
inference(fof_simplification,[status(thm)],[cls_bex__UNIV_0]) ).
cnf(c_0_197,plain,
( ~ hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2))
| c_Wellfounded_Owf(X1,X2) ),
inference(fof_simplification,[status(thm)],[cls_acc__wfI_0]) ).
cnf(c_0_198,plain,
( ~ hBOOL(c_in(X3,X1,X4))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_189,c_0_121]) ).
cnf(c_0_199,axiom,
( hBOOL(c_in(X2,c_Wellfounded_Oacc(X1,X3),X3))
| hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))) ),
cls_not__acc__down_0 ).
cnf(c_0_200,plain,
( ~ c_lessequals(c_Orderings_Otop__class_Otop(tc_bool),X1,tc_bool)
| hBOOL(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_108]),c_0_103])]) ).
cnf(c_0_201,plain,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3),X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_inf__sup__ord_I1_J_0]) ).
cnf(c_0_202,plain,
~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1),c_Orderings_Obot__class_Obot(tc_bool),tc_bool),
inference(spm,[status(thm)],[c_0_191,c_0_117]) ).
cnf(c_0_203,plain,
hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),hAPP(X1,v_x)) = c_Orderings_Obot__class_Obot(tc_bool),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_194]) ).
cnf(c_0_204,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
c_0_195 ).
cnf(c_0_205,plain,
( ~ hBOOL(c_in(X2,c_Relation_OId__on(X1,X3),tc_prod(X3,X3)))
| hBOOL(c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X1,X3)) ),
inference(fof_simplification,[status(thm)],[cls_Id__onE_0]) ).
cnf(c_0_206,plain,
( ~ hBOOL(c_in(X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1(X1,X2))) ),
c_0_196 ).
cnf(c_0_207,plain,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_113,c_0_122]) ).
cnf(c_0_208,plain,
( ~ hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2))
| c_Wellfounded_Owf(X1,X2) ),
c_0_197 ).
cnf(c_0_209,plain,
( hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(X2,X4)))
| hBOOL(c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_210,plain,
( ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(X2,X3),X4),X2),X1,tc_bool)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_117]) ).
cnf(c_0_211,plain,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3),X2,X1) ),
c_0_201 ).
cnf(c_0_212,plain,
( ~ c_Wellfounded_Owf(X3,X2)
| ~ c_lessequals(X1,hAPP(c_Relation_OImage(X3,X2,X2),X1),tc_fun(X2,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_wfE__pf_0]) ).
cnf(c_0_213,plain,
( ~ c_lessequals(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_bool),tc_bool)
| ~ hBOOL(c_in(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_202,c_0_121]) ).
cnf(c_0_214,plain,
hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),X1) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_203,c_0_105]) ).
cnf(c_0_215,plain,
c_lessequals(X1,X1,tc_bool),
inference(spm,[status(thm)],[c_0_204,c_0_129]) ).
cnf(c_0_216,plain,
( ~ hBOOL(c_in(X2,c_Relation_OId__on(X1,X3),tc_prod(X3,X3)))
| hBOOL(c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X1,X3)) ),
c_0_205 ).
cnf(c_0_217,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_Orderings_Otop__class_Otop(tc_bool) = c_in(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_113,c_0_93]) ).
cnf(c_0_218,plain,
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1(X1,X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_207]),c_0_103])]) ).
cnf(c_0_219,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(X1,X3)))
| c_Wellfounded_Owf(X1,X2) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_220,plain,
( ~ c_lessequals(hAPP(X3,X2),X1,tc_bool)
| ~ hBOOL(c_in(X2,X3,X4))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_210,c_0_121]) ).
cnf(c_0_221,plain,
c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X2),X1,tc_bool),
inference(spm,[status(thm)],[c_0_211,c_0_100]) ).
cnf(c_0_222,plain,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(X2,tc_bool)),X3) = X1 ),
inference(fof_simplification,[status(thm)],[cls_Diff__triv_0]) ).
cnf(c_0_223,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X1),X2) = X2 ),
inference(fof_simplification,[status(thm)],[cls_inf__top__left_0]) ).
cnf(c_0_224,plain,
( ~ class_Lattices_Obounded__lattice(X2)
| class_Lattices_Obounded__lattice(tc_fun(X1,X2)) ),
inference(fof_simplification,[status(thm)],[clsarity_fun__Lattices_Obounded__lattice]) ).
cnf(c_0_225,plain,
( ~ c_Relation_Oirrefl(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))) ),
inference(fof_simplification,[status(thm)],[cls_irrefl__def_0]) ).
cnf(c_0_226,plain,
( ~ c_Wellfounded_Owf(X3,X2)
| ~ c_lessequals(X1,hAPP(c_Relation_OImage(X3,X2,X2),X1),tc_fun(X2,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
c_0_212 ).
cnf(c_0_227,axiom,
hAPP(c_Relation_OImage(c_Relation_OId__on(X1,X2),X2,X2),X3) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3),
cls_Image__Id__on_0 ).
cnf(c_0_228,plain,
~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215])]) ).
cnf(c_0_229,plain,
( ~ hBOOL(hAPP(c_Relation_OId__on(X1,X3),X2))
| hBOOL(c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X1,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_103])]) ).
cnf(c_0_230,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1(X1,X3)))
| c_Wellfounded_Owf(X1,X2) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_231,plain,
( ~ hBOOL(c_in(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X3))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_232,axiom,
c_Relation_Oirrefl(hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(tc_prod(X2,X2),tc_bool)),c_Relation_OId(X2)),X2),
cls_irrefl__diff__Id_0 ).
cnf(c_0_233,plain,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(X2,tc_bool)),X3) = X1 ),
c_0_222 ).
cnf(c_0_234,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X1),X2) = X2 ),
c_0_223 ).
cnf(c_0_235,plain,
( ~ class_Lattices_Obounded__lattice(X2)
| class_Lattices_Obounded__lattice(tc_fun(X1,X2)) ),
c_0_224 ).
cnf(c_0_236,plain,
( ~ c_Relation_Oirrefl(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))) ),
c_0_225 ).
cnf(c_0_237,plain,
c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),X2) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_113,c_0_119]) ).
cnf(c_0_238,plain,
( ~ c_lessequals(X1,hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool))
| ~ c_Wellfounded_Owf(c_Relation_OId__on(X3,X2),X2)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_239,axiom,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X1) = X1,
cls_Int__absorb_0 ).
cnf(c_0_240,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0 ).
cnf(c_0_241,plain,
~ hBOOL(hAPP(c_Relation_OId__on(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),X1),X2)),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_242,plain,
( c_Wellfounded_Owf(X1,X3)
| hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1(X1,X2)) = c_Orderings_Otop__class_Otop(tc_bool) ),
inference(spm,[status(thm)],[c_0_113,c_0_230]) ).
cnf(c_0_243,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),c_Orderings_Otop__class_Otop(X1)) = X2 ),
inference(fof_simplification,[status(thm)],[cls_inf__top__right_0]) ).
cnf(c_0_244,plain,
( ~ hBOOL(hAPP(c_Relation_OId__on(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X2),X3))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_229]) ).
cnf(c_0_245,plain,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(tc_prod(X2,X2),tc_bool)),c_Relation_OId(X2)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool))
| c_Relation_Oirrefl(X1,X2) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_246,plain,
( ~ class_Lattices_Obounded__lattice(X2)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X1,X2)),tc_fun(X1,X2)),X3) = X3 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_247,plain,
~ c_Relation_Oirrefl(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_103])]) ).
cnf(c_0_248,plain,
( ~ c_Wellfounded_Owf(c_Relation_OId__on(X1,X2),X2)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240])]) ).
cnf(c_0_249,plain,
c_Wellfounded_Owf(c_Relation_OId__on(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),X1),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_103])]) ).
cnf(c_0_250,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),c_Orderings_Otop__class_Otop(X1)) = X2 ),
c_0_243 ).
cnf(c_0_251,plain,
( hBOOL(X1)
| c_Wellfounded_Owf(c_Relation_OId__on(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X2),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_242]),c_0_103])]) ).
cnf(c_0_252,plain,
( ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X3,tc_bool)),X4),X2))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_inf1E_0]) ).
cnf(c_0_253,axiom,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__left_0 ).
cnf(c_0_254,plain,
c_Relation_OId(X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_107]),c_0_95])]),c_0_247]) ).
cnf(c_0_255,plain,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_bool),tc_bool) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_256,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),c_Orderings_Otop__class_Otop(tc_bool)) = X1,
inference(spm,[status(thm)],[c_0_250,c_0_95]) ).
cnf(c_0_257,plain,
( hBOOL(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(spm,[status(thm)],[c_0_248,c_0_251]) ).
cnf(c_0_258,plain,
( ~ c_Wellfounded_Owf(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))) ),
inference(fof_simplification,[status(thm)],[cls_wf__irrefl_0]) ).
cnf(c_0_259,plain,
( ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X3,tc_bool)),X4),X2))
| hBOOL(hAPP(X1,X2)) ),
c_0_252 ).
cnf(c_0_260,plain,
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(spm,[status(thm)],[c_0_101,c_0_253]) ).
cnf(c_0_261,plain,
c_Relation_OId(X1) != c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_262,plain,
( hBOOL(X1)
| c_Orderings_Obot__class_Obot(tc_bool) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_194]) ).
cnf(c_0_263,plain,
( ~ c_Wellfounded_Owf(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))) ),
c_0_258 ).
cnf(c_0_264,axiom,
hBOOL(c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2))),
cls_pair__in__Id__conv_1 ).
cnf(c_0_265,plain,
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| ~ hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_bool),X1)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_194]),c_0_111]),c_0_184]) ).
cnf(c_0_266,plain,
c_Relation_OId(X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(spm,[status(thm)],[c_0_261,c_0_255]) ).
cnf(c_0_267,plain,
( hBOOL(X2)
| hBOOL(X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_262,c_0_262]) ).
cnf(c_0_268,plain,
~ c_Wellfounded_Owf(c_Relation_OId(X1),X1),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_269,plain,
( c_Orderings_Otop__class_Otop(tc_bool) = X1
| c_Orderings_Obot__class_Obot(tc_bool) = X1 ),
inference(spm,[status(thm)],[c_0_113,c_0_262]) ).
cnf(c_0_270,plain,
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| c_Wellfounded_Owf(c_Orderings_Otop__class_Otop(tc_bool),X1) ),
inference(spm,[status(thm)],[c_0_265,c_0_219]) ).
cnf(c_0_271,plain,
( hBOOL(c_Relation_OId(X2))
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267])]) ).
cnf(c_0_272,plain,
~ c_Relation_Oirrefl(c_Relation_OId(X1),X1),
inference(spm,[status(thm)],[c_0_236,c_0_264]) ).
cnf(c_0_273,negated_conjecture,
c_Relation_Oirrefl(hAPP(v_xa,X1),tc_Arrow__Order__Mirabelle_Oalt),
cls_conjecture_1 ).
cnf(c_0_274,plain,
( c_Wellfounded_Owf(X1,X3)
| hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(X1,X2)) = c_Orderings_Otop__class_Otop(tc_bool) ),
inference(spm,[status(thm)],[c_0_113,c_0_219]) ).
cnf(c_0_275,plain,
( ~ c_Wellfounded_Owf(c_Orderings_Otop__class_Otop(tc_bool),X1)
| c_Relation_OId(X1) = c_Orderings_Obot__class_Obot(tc_bool) ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_276,plain,
( hBOOL(c_Relation_OId(X2))
| c_Wellfounded_Owf(c_Orderings_Otop__class_Otop(tc_bool),X1) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_277,plain,
( ~ c_Relation_Oirrefl(c_Orderings_Otop__class_Otop(tc_bool),X1)
| c_Relation_OId(X1) = c_Orderings_Obot__class_Obot(tc_bool) ),
inference(spm,[status(thm)],[c_0_272,c_0_269]) ).
cnf(c_0_278,negated_conjecture,
( c_Wellfounded_Owf(v_xa,X1)
| c_Relation_Oirrefl(c_Orderings_Otop__class_Otop(tc_bool),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_279,axiom,
c_Relation_Oantisym(c_Relation_OId(X1),X1),
cls_antisym__Id_0 ).
cnf(c_0_280,plain,
( hBOOL(c_Relation_OId(X2))
| c_Relation_OId(X1) = c_Orderings_Obot__class_Obot(tc_bool) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_281,negated_conjecture,
( c_Wellfounded_Owf(v_xa,X1)
| c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt) = c_Orderings_Obot__class_Obot(tc_bool) ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_282,plain,
( ~ c_lessequals(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4,X1),X2),X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_le__sup__iff_1]) ).
cnf(c_0_283,axiom,
c_lessequals(X1,hAPP(c_Set_Oinsert(X2,X3),X1),tc_fun(X3,tc_bool)),
cls_subset__insertI_0 ).
cnf(c_0_284,plain,
( ~ hBOOL(hAPP(X1,c_Pair(X3,X3,X2,X2)))
| ~ c_Wellfounded_Owf(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_217]),c_0_103])]) ).
cnf(c_0_285,negated_conjecture,
( hBOOL(hAPP(v_xa,X1))
| c_Relation_Oirrefl(c_Orderings_Obot__class_Obot(tc_bool),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(spm,[status(thm)],[c_0_273,c_0_262]) ).
cnf(c_0_286,plain,
( hBOOL(c_Relation_OId(X2))
| c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_bool),X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_287,negated_conjecture,
( c_Wellfounded_Owf(v_xa,X2)
| c_Relation_OId(X1) = c_Orderings_Obot__class_Obot(tc_bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_184]) ).
cnf(c_0_288,plain,
( ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
inference(fof_simplification,[status(thm)],[cls_acyclic__converse_0]) ).
cnf(c_0_289,plain,
( ~ c_Wellfounded_Owf(X1,X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
inference(fof_simplification,[status(thm)],[cls_wf__acyclic_0]) ).
cnf(c_0_290,plain,
( ~ c_lessequals(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4,X1),X2),X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X3,X1) ),
c_0_282 ).
cnf(c_0_291,plain,
c_lessequals(hAPP(X1,X2),hAPP(hAPP(c_Set_Oinsert(X3,X4),X1),X2),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_283]),c_0_168])]) ).
cnf(c_0_292,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice ).
cnf(c_0_293,plain,
( ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool))
| ~ c_Relation_Oantisym(X3,X2)
| c_Relation_Oantisym(X1,X2) ),
inference(fof_simplification,[status(thm)],[cls_antisym__subset_0]) ).
cnf(c_0_294,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_subset__UNIV_0 ).
cnf(c_0_295,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(spm,[status(thm)],[c_0_101,c_0_96]) ).
cnf(c_0_296,negated_conjecture,
( ~ c_Wellfounded_Owf(v_xa,X1)
| c_Relation_Oirrefl(c_Orderings_Obot__class_Obot(tc_bool),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_297,negated_conjecture,
( c_Wellfounded_Owf(v_xa,X2)
| c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_bool),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_184]) ).
cnf(c_0_298,plain,
( ~ c_Wellfounded_Oacyclic(X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool))
| c_Wellfounded_Oacyclic(X1,X2) ),
inference(fof_simplification,[status(thm)],[cls_acyclic__subset_0]) ).
cnf(c_0_299,plain,
( ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
c_0_288 ).
cnf(c_0_300,plain,
( ~ c_Wellfounded_Owf(X1,X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
c_0_289 ).
cnf(c_0_301,plain,
c_lessequals(X1,hAPP(hAPP(c_Set_Oinsert(X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X4,tc_bool)),X1),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292])]) ).
cnf(c_0_302,plain,
( ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool))
| ~ c_Relation_Oantisym(X3,X2)
| c_Relation_Oantisym(X1,X2) ),
c_0_293 ).
cnf(c_0_303,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X3,tc_bool)),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_304,negated_conjecture,
( c_Relation_Oirrefl(c_Orderings_Obot__class_Obot(tc_bool),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_bool),X1) ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_305,plain,
( ~ c_Wellfounded_Oacyclic(X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool))
| c_Wellfounded_Oacyclic(X1,X2) ),
c_0_298 ).
cnf(c_0_306,plain,
( ~ c_Wellfounded_Owf(c_Relation_Oconverse(X1,X2,X2),X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_307,axiom,
c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
cls_converse__converse_0 ).
cnf(c_0_308,plain,
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_Un__empty_1]) ).
cnf(c_0_309,plain,
( ~ c_Relation_Oantisym(X4,X3)
| ~ hBOOL(c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)))
| ~ hBOOL(c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)))
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[cls_antisym__def_0]) ).
cnf(c_0_310,negated_conjecture,
( c_Wellfounded_Owf(v_xa,X4)
| c_Relation_Oirrefl(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(spm,[status(thm)],[c_0_278,c_0_117]) ).
cnf(c_0_311,plain,
( ~ hBOOL(X4)
| hAPP(hAPP(c_Set_Oinsert(X1,X2),c_Lattices_Oupper__semilattice__class_Osup(X3,tc_bool)),X4) = X4 ),
inference(spm,[status(thm)],[c_0_134,c_0_301]) ).
cnf(c_0_312,plain,
( ~ c_Relation_Oantisym(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X2)
| c_Relation_Oantisym(X1,X2) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_313,negated_conjecture,
( hBOOL(X1)
| c_Relation_Oirrefl(X1,tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Oantisym(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_267]),c_0_184]) ).
cnf(c_0_314,plain,
~ c_Relation_Oirrefl(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_207]),c_0_103])]) ).
cnf(c_0_315,plain,
( ~ c_Wellfounded_Oacyclic(X2,X1)
| c_Wellfounded_Oacyclic(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
inference(spm,[status(thm)],[c_0_305,c_0_167]) ).
cnf(c_0_316,plain,
( ~ c_Wellfounded_Owf(X1,X2)
| c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_317,plain,
( ~ c_Wellfounded_Owf(X1,X3)
| c_Wellfounded_Owf(c_Relation_Oinv__image(X1,X2,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[cls_wf__inv__image_0]) ).
cnf(c_0_318,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_194]),c_0_215])]) ).
cnf(c_0_319,plain,
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
c_0_308 ).
cnf(c_0_320,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Relation_OId(X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
cls_rtrancl__reflcl__absorb_0 ).
cnf(c_0_321,axiom,
c_Transitive__Closure_Ortrancl(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(tc_prod(X2,X2),tc_bool)),c_Relation_OId(X2)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
cls_rtrancl__reflcl_0 ).
cnf(c_0_322,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_fun(X2,tc_bool)),X1),
cls_Un__commute_0 ).
cnf(c_0_323,plain,
( ~ c_Relation_Oantisym(X4,X3)
| ~ hBOOL(c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)))
| ~ hBOOL(c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)))
| X1 = X2 ),
c_0_309 ).
cnf(c_0_324,negated_conjecture,
( ~ hBOOL(X1)
| c_Wellfounded_Owf(v_xa,X2)
| c_Relation_Oirrefl(X1,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
cnf(c_0_325,negated_conjecture,
( hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))
| c_Relation_Oantisym(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_314]) ).
cnf(c_0_326,plain,
( ~ c_Wellfounded_Owf(X2,X1)
| c_Wellfounded_Oacyclic(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_327,plain,
( ~ c_Wellfounded_Owf(X1,X3)
| c_Wellfounded_Owf(c_Relation_Oinv__image(X1,X2,X3,X4),X4) ),
c_0_317 ).
cnf(c_0_328,plain,
hBOOL(c_in(X1,c_Wellfounded_Oacc(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),X3)),
inference(spm,[status(thm)],[c_0_318,c_0_199]) ).
cnf(c_0_329,plain,
( c_Transitive__Closure_Ortrancl(X2,X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool))
| c_Relation_OId(X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)) ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_330,plain,
c_Transitive__Closure_Ortrancl(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X2),X1) = c_Transitive__Closure_Ortrancl(X2,X1),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_331,plain,
( ~ c_Relation_Otrans(X1,X2)
| c_Transitive__Closure_Otrancl(X1,X2) = X1 ),
inference(fof_simplification,[status(thm)],[cls_trancl__id_0]) ).
cnf(c_0_332,plain,
( ~ c_Relation_Oirrefl(c_Orderings_Obot__class_Obot(tc_bool),X2)
| hBOOL(c_Relation_OId(X1)) ),
inference(spm,[status(thm)],[c_0_272,c_0_280]) ).
cnf(c_0_333,negated_conjecture,
( hBOOL(X1)
| hBOOL(hAPP(v_xa,X2))
| c_Relation_Oirrefl(X1,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(spm,[status(thm)],[c_0_273,c_0_267]) ).
cnf(c_0_334,negated_conjecture,
v_F(v_xa) != hAPP(v_xa,v_i),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_335,plain,
( ~ c_Relation_Oantisym(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X4)
| X1 = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_207]),c_0_103]),c_0_207]),c_0_103])]) ).
cnf(c_0_336,negated_conjecture,
( c_Wellfounded_Owf(v_xa,X3)
| c_Relation_Oantisym(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_314]) ).
cnf(c_0_337,axiom,
c_lessequals(hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(X2,tc_bool)),X3),X1,tc_fun(X2,tc_bool)),
cls_Diff__subset_0 ).
cnf(c_0_338,plain,
( ~ c_Wellfounded_Owf(X2,X3)
| c_Wellfounded_Oacyclic(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_339,plain,
c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),
inference(spm,[status(thm)],[c_0_208,c_0_328]) ).
cnf(c_0_340,plain,
~ hBOOL(hAPP(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),X3)),
inference(spm,[status(thm)],[c_0_318,c_0_229]) ).
cnf(c_0_341,plain,
c_Transitive__Closure_Ortrancl(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_254]) ).
cnf(c_0_342,plain,
( ~ c_Wellfounded_Oacyclic(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))) ),
inference(fof_simplification,[status(thm)],[cls_acyclic__def_0]) ).
cnf(c_0_343,plain,
( ~ c_Relation_Otrans(X1,X2)
| c_Transitive__Closure_Otrancl(X1,X2) = X1 ),
c_0_331 ).
cnf(c_0_344,axiom,
c_Transitive__Closure_Otrancl(X1,X2) = c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),
cls_trancl__unfold__left_0 ).
cnf(c_0_345,negated_conjecture,
( hBOOL(c_Relation_OId(X2))
| hBOOL(hAPP(v_xa,X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_184]) ).
cnf(c_0_346,negated_conjecture,
v_F(v_xa) != hAPP(v_xa,v_i),
c_0_334 ).
cnf(c_0_347,negated_conjecture,
( c_Wellfounded_Owf(v_xa,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_348,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_349,plain,
( ~ hBOOL(c_in(X1,X2,tc_prod(X3,X3)))
| hBOOL(c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))) ),
inference(fof_simplification,[status(thm)],[cls_r__into__rtrancl_0]) ).
cnf(c_0_350,plain,
( ~ c_Wellfounded_Oacyclic(X1,X2)
| c_Wellfounded_Oacyclic(hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(tc_prod(X2,X2),tc_bool)),X3),X2) ),
inference(spm,[status(thm)],[c_0_305,c_0_337]) ).
cnf(c_0_351,plain,
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(spm,[status(thm)],[c_0_101,c_0_193]) ).
cnf(c_0_352,plain,
c_Wellfounded_Oacyclic(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_353,plain,
c_Wellfounded_Owf(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_242]),c_0_103])]) ).
cnf(c_0_354,plain,
c_Transitive__Closure_Ortrancl(X1,X2) != c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_bool),tc_bool),
inference(spm,[status(thm)],[c_0_341,c_0_255]) ).
cnf(c_0_355,plain,
( ~ c_Wellfounded_Oacyclic(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))) ),
c_0_342 ).
cnf(c_0_356,axiom,
c_Relation_Orel__comp(c_Relation_OId(X1),X2,X1,X1,X3) = X2,
cls_Id__O__R_0 ).
cnf(c_0_357,plain,
( ~ c_Relation_Otrans(X1,X2)
| c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = X1 ),
inference(rw,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_358,axiom,
c_Relation_Otrans(c_Relation_OId(X1),X1),
cls_trans__Id_0 ).
cnf(c_0_359,negated_conjecture,
( ~ c_Wellfounded_Owf(v_xa,X2)
| hBOOL(c_Relation_OId(X1)) ),
inference(spm,[status(thm)],[c_0_284,c_0_345]) ).
cnf(c_0_360,negated_conjecture,
c_Wellfounded_Owf(v_xa,X1),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347])]) ).
cnf(c_0_361,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
c_0_348 ).
cnf(c_0_362,plain,
( ~ hBOOL(c_in(X1,X2,tc_prod(X3,X3)))
| hBOOL(c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))) ),
c_0_349 ).
cnf(c_0_363,plain,
( ~ hBOOL(X2)
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,tc_bool) ),
inference(spm,[status(thm)],[c_0_101,c_0_140]) ).
cnf(c_0_364,plain,
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)))
| c_Wellfounded_Oacyclic(c_Orderings_Otop__class_Otop(tc_bool),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_111]),c_0_352])]) ).
cnf(c_0_365,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(spm,[status(thm)],[c_0_248,c_0_353]) ).
cnf(c_0_366,plain,
c_Transitive__Closure_Ortrancl(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(spm,[status(thm)],[c_0_354,c_0_255]) ).
cnf(c_0_367,plain,
( ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X2),X2,X2,X2),tc_prod(X2,X2)))
| ~ c_Wellfounded_Oacyclic(X3,X2) ),
inference(rw,[status(thm)],[c_0_355,c_0_344]) ).
cnf(c_0_368,plain,
c_Transitive__Closure_Ortrancl(c_Relation_OId(X1),X1) = c_Relation_OId(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_358])]) ).
cnf(c_0_369,axiom,
c_Relation_Orel__comp(X1,c_Relation_OId(X2),X3,X2,X2) = X1,
cls_R__O__Id_0 ).
cnf(c_0_370,negated_conjecture,
hBOOL(c_Relation_OId(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_360])]) ).
cnf(c_0_371,plain,
( ~ hBOOL(c_in(X3,X1,tc_prod(X2,X2)))
| hBOOL(hAPP(c_Transitive__Closure_Ortrancl(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_372,plain,
( ~ hBOOL(X2)
| c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,tc_bool),X3) = c_Orderings_Otop__class_Otop(tc_bool) ),
inference(spm,[status(thm)],[c_0_207,c_0_363]) ).
cnf(c_0_373,plain,
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| c_Wellfounded_Oacyclic(c_Orderings_Otop__class_Otop(tc_bool),X1) ),
inference(spm,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_374,plain,
( hBOOL(c_Transitive__Closure_Ortrancl(X2,X3))
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_267])]) ).
cnf(c_0_375,plain,
~ c_Wellfounded_Oacyclic(c_Relation_OId(X1),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_369]),c_0_264])]) ).
cnf(c_0_376,negated_conjecture,
c_Relation_OId(X1) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_113,c_0_370]) ).
cnf(c_0_377,plain,
( ~ hBOOL(X1)
| hBOOL(hAPP(c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2),X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_103])]) ).
cnf(c_0_378,plain,
( hBOOL(c_Transitive__Closure_Ortrancl(X2,X3))
| c_Wellfounded_Oacyclic(c_Orderings_Otop__class_Otop(tc_bool),X1) ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_379,plain,
~ c_Wellfounded_Oacyclic(c_Orderings_Otop__class_Otop(tc_bool),X1),
inference(rw,[status(thm)],[c_0_375,c_0_376]) ).
cnf(c_0_380,plain,
( ~ hBOOL(X2)
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X2,tc_bool),X3) ),
inference(spm,[status(thm)],[c_0_101,c_0_377]) ).
cnf(c_0_381,plain,
hBOOL(c_Transitive__Closure_Ortrancl(X1,X2)),
inference(sr,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_382,negated_conjecture,
( ~ c_Wellfounded_Owf(v_xa,X2)
| hBOOL(X1)
| c_Relation_Oirrefl(X1,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(spm,[status(thm)],[c_0_284,c_0_333]) ).
cnf(c_0_383,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(fof_simplification,[status(thm)],[cls_UNIV__not__empty_0]) ).
cnf(c_0_384,plain,
( ~ hBOOL(X3)
| ~ c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_bool),X4),X5)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_335,c_0_380]) ).
cnf(c_0_385,plain,
c_Orderings_Otop__class_Otop(tc_bool) = c_Transitive__Closure_Ortrancl(X1,X2),
inference(spm,[status(thm)],[c_0_113,c_0_381]) ).
cnf(c_0_386,plain,
c_Relation_Oantisym(c_Orderings_Otop__class_Otop(tc_bool),X1),
inference(rw,[status(thm)],[c_0_279,c_0_376]) ).
cnf(c_0_387,negated_conjecture,
( hBOOL(X1)
| c_Relation_Oirrefl(X1,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_360])]) ).
cnf(c_0_388,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
c_0_383 ).
cnf(c_0_389,plain,
( ~ hBOOL(X3)
| X1 = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_385]),c_0_386])]) ).
cnf(c_0_390,negated_conjecture,
hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),
inference(spm,[status(thm)],[c_0_314,c_0_387]) ).
cnf(c_0_391,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_bool),tc_bool) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(spm,[status(thm)],[c_0_388,c_0_107]) ).
cnf(c_0_392,negated_conjecture,
X1 = X2,
inference(spm,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_393,plain,
$false,
inference(sr,[status(thm)],[c_0_391,c_0_392]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT019-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 04:24:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 128.68/19.24 % Version: 3.5.1
% 128.68/19.24 % Preprocessing class: FSLMSMSMSSSNFFN.
% 128.68/19.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 128.68/19.24 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 128.68/19.24 % Starting new_bool_3 with 600s (2) cores
% 128.68/19.24 % Starting new_bool_1 with 300s (1) cores
% 128.68/19.24 % Starting sh5l with 300s (1) cores
% 128.68/19.24 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 166803 completed with status 0
% 128.68/19.24 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 128.68/19.24 % Preprocessing class: FSLMSMSMSSSNFFN.
% 128.68/19.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 128.68/19.24 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 128.68/19.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 128.68/19.24 % No SInE strategy applied
% 128.68/19.24 % Search class: FGHSM-FSLM32-DFFFFFNN
% 128.68/19.24 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 128.68/19.24 % Starting SubtermCWHack with 109s (1) cores
% 128.68/19.24 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 128.68/19.24 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 128.68/19.24 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 128.68/19.24 % SubtermCWHack with pid 166811 completed with status 0
% 128.68/19.24 % Result found by SubtermCWHack
% 128.68/19.24 % Preprocessing class: FSLMSMSMSSSNFFN.
% 128.68/19.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 128.68/19.24 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 128.68/19.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 128.68/19.24 % No SInE strategy applied
% 128.68/19.24 % Search class: FGHSM-FSLM32-DFFFFFNN
% 128.68/19.24 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 128.68/19.24 % Starting SubtermCWHack with 109s (1) cores
% 128.68/19.24 % Preprocessing time : 0.006 s
% 128.68/19.24
% 128.68/19.24 % Proof found!
% 128.68/19.24 % SZS status Unsatisfiable
% 128.68/19.24 % SZS output start CNFRefutation
% See solution above
% 128.68/19.24 % Parsed axioms : 712
% 128.68/19.24 % Removed by relevancy pruning/SinE : 0
% 128.68/19.24 % Initial clauses : 712
% 128.68/19.24 % Removed in clause preprocessing : 4
% 128.68/19.24 % Initial clauses in saturation : 708
% 128.68/19.24 % Processed clauses : 52768
% 128.68/19.24 % ...of these trivial : 842
% 128.68/19.24 % ...subsumed : 45029
% 128.68/19.24 % ...remaining for further processing : 6897
% 128.68/19.24 % Other redundant clauses eliminated : 12675
% 128.68/19.24 % Clauses deleted for lack of memory : 0
% 128.68/19.24 % Backward-subsumed : 2402
% 128.68/19.24 % Backward-rewritten : 1221
% 128.68/19.24 % Generated clauses : 1805166
% 128.68/19.24 % ...of the previous two non-redundant : 1684173
% 128.68/19.24 % ...aggressively subsumed : 0
% 128.68/19.24 % Contextual simplify-reflections : 24
% 128.68/19.24 % Paramodulations : 1792281
% 128.68/19.24 % Factorizations : 66
% 128.68/19.24 % NegExts : 0
% 128.68/19.24 % Equation resolutions : 12685
% 128.68/19.24 % Disequality decompositions : 0
% 128.68/19.24 % Total rewrite steps : 279417
% 128.68/19.24 % ...of those cached : 254284
% 128.68/19.24 % Propositional unsat checks : 0
% 128.68/19.24 % Propositional check models : 0
% 128.68/19.24 % Propositional check unsatisfiable : 0
% 128.68/19.24 % Propositional clauses : 0
% 128.68/19.24 % Propositional clauses after purity: 0
% 128.68/19.24 % Propositional unsat core size : 0
% 128.68/19.24 % Propositional preprocessing time : 0.000
% 128.68/19.24 % Propositional encoding time : 0.000
% 128.68/19.24 % Propositional solver time : 0.000
% 128.68/19.24 % Success case prop preproc time : 0.000
% 128.68/19.24 % Success case prop encoding time : 0.000
% 128.68/19.24 % Success case prop solver time : 0.000
% 128.68/19.24 % Current number of processed clauses : 3138
% 128.68/19.24 % Positive orientable unit clauses : 357
% 128.68/19.24 % Positive unorientable unit clauses: 1
% 128.68/19.24 % Negative unit clauses : 82
% 128.68/19.24 % Non-unit-clauses : 2698
% 128.68/19.24 % Current number of unprocessed clauses: 1624648
% 128.68/19.24 % ...number of literals in the above : 5861104
% 128.68/19.24 % Current number of archived formulas : 0
% 128.68/19.24 % Current number of archived clauses : 3759
% 128.68/19.24 % Clause-clause subsumption calls (NU) : 3338630
% 128.68/19.24 % Rec. Clause-clause subsumption calls : 2200498
% 128.68/19.24 % Non-unit clause-clause subsumptions : 40113
% 128.68/19.24 % Unit Clause-clause subsumption calls : 114196
% 128.68/19.24 % Rewrite failures with RHS unbound : 7208
% 128.68/19.24 % BW rewrite match attempts : 16704
% 128.68/19.24 % BW rewrite match successes : 6816
% 128.68/19.24 % Condensation attempts : 0
% 128.68/19.24 % Condensation successes : 0
% 128.68/19.24 % Termbank termtop insertions : 31578937
% 128.68/19.24 % Search garbage collected termcells : 1251
% 128.68/19.24
% 128.68/19.24 % -------------------------------------------------
% 128.68/19.24 % User time : 17.670 s
% 128.68/19.24 % System time : 0.702 s
% 128.68/19.24 % Total time : 18.372 s
% 128.68/19.24 % Maximum resident set size: 4956 pages
% 128.68/19.24
% 128.68/19.24 % -------------------------------------------------
% 128.68/19.24 % User time : 70.681 s
% 128.68/19.24 % System time : 2.169 s
% 128.68/19.24 % Total time : 72.850 s
% 128.68/19.24 % Maximum resident set size: 5376 pages
% 128.68/19.24 % E exiting
%------------------------------------------------------------------------------