%------------------------------------------------------------------------------
% File : E-SAT---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 : n016.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 02:08:11 PM UTC 2026
% Result : Unsatisfiable 262.55s 34.89s
% Output : CNFRefutation 262.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 86
% Syntax : Number of clauses : 397 ( 153 unt; 34 nHn; 164 RR)
% Number of literals : 692 ( 174 equ; 300 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 : 901 ( 347 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(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_inf__sup__ord_I4_J_0,axiom,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(X2,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_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(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_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(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_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(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(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__idem_0,axiom,
( ~ class_Lattices_Olower__semilattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__idem_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_86,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_87,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_88,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_89,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_90,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_86 ).
cnf(c_0_91,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop ).
cnf(c_0_92,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_93,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_87 ).
cnf(c_0_94,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
c_0_88 ).
cnf(c_0_95,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_89 ).
cnf(c_0_96,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice ).
cnf(c_0_97,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0 ).
cnf(c_0_98,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_90,c_0_91]) ).
cnf(c_0_99,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_100,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_92 ).
cnf(c_0_101,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice ).
cnf(c_0_102,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_93,c_0_94]) ).
cnf(c_0_103,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_95,c_0_96]) ).
cnf(c_0_104,plain,
hBOOL(c_Orderings_Otop__class_Otop(tc_bool)),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,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_99 ).
cnf(c_0_106,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0 ).
cnf(c_0_107,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_100,c_0_101]) ).
cnf(c_0_108,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_102,c_0_103]),c_0_104])]) ).
cnf(c_0_109,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_105,c_0_96]) ).
cnf(c_0_110,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_111,plain,
( ~ hBOOL(X2)
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_COMBK(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_102,c_0_106]) ).
cnf(c_0_112,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_107,c_0_108]),c_0_109]) ).
cnf(c_0_113,plain,
( ~ class_Orderings_Otop(X1)
| c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1) ),
c_0_110 ).
cnf(c_0_114,plain,
( ~ hBOOL(X1)
| c_Orderings_Otop__class_Otop(tc_bool) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_111]),c_0_112]) ).
cnf(c_0_115,axiom,
hBOOL(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1)),
cls_insert__code_1 ).
cnf(c_0_116,axiom,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
cls_UNIV__I_0 ).
cnf(c_0_117,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),
inference(spm,[status(thm)],[c_0_113,c_0_91]) ).
cnf(c_0_118,plain,
c_Orderings_Otop__class_Otop(tc_bool) = hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,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_120,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_116,c_0_108]) ).
cnf(c_0_121,plain,
c_lessequals(X1,hAPP(hAPP(c_Set_Oinsert(X2,X3),X4),X2),tc_bool),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,plain,
( ~ hBOOL(c_in(X1,X3,X2))
| hAPP(c_Set_Oinsert(X1,X2),X3) = X3 ),
c_0_119 ).
cnf(c_0_123,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3)),
inference(spm,[status(thm)],[c_0_120,c_0_108]) ).
cnf(c_0_124,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_125,plain,
( ~ hBOOL(c_in(X3,X2,X4))
| c_lessequals(X1,hAPP(X2,X3),tc_bool) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_126,plain,
( ~ hBOOL(X2)
| hBOOL(c_in(X1,c_COMBK(X2,X3,X4),X5)) ),
inference(spm,[status(thm)],[c_0_123,c_0_111]) ).
cnf(c_0_127,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_128,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_129,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_130,plain,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(X2,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1),X2),X1) ),
inference(fof_simplification,[status(thm)],[cls_inf__sup__ord_I4_J_0]) ).
cnf(c_0_131,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1)
| ~ class_Orderings_Oorder(X1)
| X2 = X3 ),
c_0_124 ).
cnf(c_0_132,plain,
( ~ hBOOL(X2)
| c_lessequals(X1,X2,tc_bool) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_106]) ).
cnf(c_0_133,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder ).
cnf(c_0_134,plain,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(X2,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3),X1) ),
c_0_127 ).
cnf(c_0_135,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_128 ).
cnf(c_0_136,plain,
( ~ c_lessequals(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3) = X3 ),
c_0_129 ).
cnf(c_0_137,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice ).
cnf(c_0_138,plain,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(X2,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1),X2),X1) ),
c_0_130 ).
cnf(c_0_139,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_140,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_141,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_131,c_0_132]),c_0_133])]) ).
cnf(c_0_142,plain,
c_lessequals(X1,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2),tc_bool),
inference(spm,[status(thm)],[c_0_134,c_0_101]) ).
cnf(c_0_143,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_135,c_0_101]) ).
cnf(c_0_144,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_136,c_0_137]) ).
cnf(c_0_145,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_146,plain,
c_lessequals(X1,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,tc_bool),X1),tc_bool),
inference(spm,[status(thm)],[c_0_138,c_0_101]) ).
cnf(c_0_147,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X1),X2) = X2 ),
c_0_139 ).
cnf(c_0_148,plain,
( ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1(X1,X3)))
| hBOOL(hAPP(X1,X2)) ),
c_0_140 ).
cnf(c_0_149,plain,
( ~ hBOOL(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2) = X1 ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_150,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_143,c_0_144]) ).
cnf(c_0_151,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_152,plain,
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2(X1,X2))) ),
c_0_145 ).
cnf(c_0_153,plain,
( ~ hBOOL(X2)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2) = X2 ),
inference(spm,[status(thm)],[c_0_141,c_0_146]) ).
cnf(c_0_154,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_147,c_0_96]) ).
cnf(c_0_155,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_156,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_157,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_158,plain,
( ~ hBOOL(X1)
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_bool),X2)) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_159,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_107,c_0_150]) ).
cnf(c_0_160,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_151 ).
cnf(c_0_161,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_162,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_152,c_0_153]) ).
cnf(c_0_163,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_152,c_0_154]),c_0_154]) ).
cnf(c_0_164,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_155 ).
cnf(c_0_165,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot ).
cnf(c_0_166,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_167,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_156 ).
cnf(c_0_168,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_169,plain,
( ~ c_lessequals(X2,X4,tc_fun(X5,X1))
| ~ class_HOL_Oord(X1)
| c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1) ),
c_0_157 ).
cnf(c_0_170,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_171,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord ).
cnf(c_0_172,plain,
( ~ c_lessequals(X2,X1,tc_bool)
| ~ hBOOL(X2)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_173,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_160,c_0_137]) ).
cnf(c_0_174,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_161 ).
cnf(c_0_175,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_162,c_0_104]) ).
cnf(c_0_176,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_163,c_0_116]) ).
cnf(c_0_177,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_164,c_0_165]) ).
cnf(c_0_178,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
c_0_166 ).
cnf(c_0_179,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_180,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_167,c_0_96]) ).
cnf(c_0_181,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_168 ).
cnf(c_0_182,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_169,c_0_170]),c_0_171])]) ).
cnf(c_0_183,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_172,c_0_173]) ).
cnf(c_0_184,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_174,c_0_101]) ).
cnf(c_0_185,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_175,c_0_150]) ).
cnf(c_0_186,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_114,c_0_176]) ).
cnf(c_0_187,plain,
~ hBOOL(c_Orderings_Obot__class_Obot(tc_bool)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_177]),c_0_178]) ).
cnf(c_0_188,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_179 ).
cnf(c_0_189,axiom,
class_HOL_Ominus(tc_bool),
clsarity_bool__HOL_Ominus ).
cnf(c_0_190,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_180,c_0_144]) ).
cnf(c_0_191,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_181,c_0_182]),c_0_137])]) ).
cnf(c_0_192,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_152,c_0_115]) ).
cnf(c_0_193,plain,
( ~ c_lessequals(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,tc_bool),X3),X1,tc_bool)
| ~ hBOOL(X2)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_194,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_185,c_0_186]),c_0_187]) ).
cnf(c_0_195,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_188,c_0_189]) ).
cnf(c_0_196,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_197,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_190,c_0_191]) ).
cnf(c_0_198,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_order__eq__iff_0]) ).
cnf(c_0_199,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_200,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_201,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_192,c_0_122]) ).
cnf(c_0_202,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_203,plain,
( ~ c_lessequals(c_Orderings_Otop__class_Otop(tc_bool),X1,tc_bool)
| hBOOL(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_108]),c_0_104]),c_0_112])]) ).
cnf(c_0_204,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_205,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_194,c_0_118]) ).
cnf(c_0_206,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_195,c_0_196]),c_0_197]),c_0_197]) ).
cnf(c_0_207,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
c_0_198 ).
cnf(c_0_208,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_209,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_199 ).
cnf(c_0_210,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_114,c_0_123]) ).
cnf(c_0_211,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_200 ).
cnf(c_0_212,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_201,c_0_202]) ).
cnf(c_0_213,plain,
( ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(X2,X3),X4),X2),X1,tc_bool)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_118]) ).
cnf(c_0_214,plain,
( ~ class_Lattices_Olattice(X1)
| c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3),X2,X1) ),
c_0_204 ).
cnf(c_0_215,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_216,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_205,c_0_122]) ).
cnf(c_0_217,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_206,c_0_106]) ).
cnf(c_0_218,plain,
c_lessequals(X1,X1,tc_bool),
inference(spm,[status(thm)],[c_0_207,c_0_133]) ).
cnf(c_0_219,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_208 ).
cnf(c_0_220,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_Orderings_Otop__class_Otop(tc_bool) = c_in(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_114,c_0_94]) ).
cnf(c_0_221,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_209,c_0_210]),c_0_104])]) ).
cnf(c_0_222,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_211,c_0_212]) ).
cnf(c_0_223,plain,
( ~ c_lessequals(hAPP(X3,X2),X1,tc_bool)
| ~ hBOOL(c_in(X2,X3,X4))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_213,c_0_122]) ).
cnf(c_0_224,plain,
c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X2),X1,tc_bool),
inference(spm,[status(thm)],[c_0_214,c_0_101]) ).
cnf(c_0_225,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_226,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_227,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_228,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_229,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_215 ).
cnf(c_0_230,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_231,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_216,c_0_217]),c_0_218])]) ).
cnf(c_0_232,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_219,c_0_220]),c_0_104])]) ).
cnf(c_0_233,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_221,c_0_222]) ).
cnf(c_0_234,plain,
( ~ hBOOL(c_in(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X3))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_235,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_236,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_225 ).
cnf(c_0_237,plain,
( ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X1),X2) = X2 ),
c_0_226 ).
cnf(c_0_238,plain,
( ~ class_Lattices_Obounded__lattice(X2)
| class_Lattices_Obounded__lattice(tc_fun(X1,X2)) ),
c_0_227 ).
cnf(c_0_239,plain,
( ~ c_Relation_Oirrefl(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))) ),
c_0_228 ).
cnf(c_0_240,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_114,c_0_120]) ).
cnf(c_0_241,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_229,c_0_230]) ).
cnf(c_0_242,axiom,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X1) = X1,
cls_Int__absorb_0 ).
cnf(c_0_243,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0 ).
cnf(c_0_244,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_231,c_0_232]) ).
cnf(c_0_245,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_114,c_0_233]) ).
cnf(c_0_246,plain,
( ~ class_Lattices_Olower__semilattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X2) = X2 ),
inference(fof_simplification,[status(thm)],[cls_inf__idem_0]) ).
cnf(c_0_247,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_234,c_0_232]) ).
cnf(c_0_248,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_235,c_0_236]) ).
cnf(c_0_249,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_237,c_0_238]) ).
cnf(c_0_250,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_239,c_0_240]),c_0_104])]) ).
cnf(c_0_251,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_241,c_0_242]),c_0_243])]) ).
cnf(c_0_252,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_244,c_0_245]),c_0_104])]) ).
cnf(c_0_253,plain,
( ~ class_Lattices_Olower__semilattice(X1)
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X2) = X2 ),
c_0_246 ).
cnf(c_0_254,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_247,c_0_245]),c_0_104])]) ).
cnf(c_0_255,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_256,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_257,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_248,c_0_249]),c_0_108]),c_0_96])]),c_0_250]) ).
cnf(c_0_258,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_251,c_0_252]) ).
cnf(c_0_259,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X1) = X1,
inference(spm,[status(thm)],[c_0_253,c_0_137]) ).
cnf(c_0_260,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_251,c_0_254]) ).
cnf(c_0_261,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_262,plain,
( ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X3,tc_bool)),X4),X2))
| hBOOL(hAPP(X1,X2)) ),
c_0_255 ).
cnf(c_0_263,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_102,c_0_256]) ).
cnf(c_0_264,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_257,c_0_258]) ).
cnf(c_0_265,plain,
( hBOOL(X1)
| c_Orderings_Obot__class_Obot(tc_bool) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_197]) ).
cnf(c_0_266,plain,
( ~ c_Wellfounded_Owf(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))) ),
c_0_261 ).
cnf(c_0_267,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_268,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_262,c_0_263]),c_0_197]),c_0_112]),c_0_187]) ).
cnf(c_0_269,plain,
c_Relation_OId(X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(spm,[status(thm)],[c_0_264,c_0_258]) ).
cnf(c_0_270,plain,
( hBOOL(X2)
| hBOOL(X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_265,c_0_265]) ).
cnf(c_0_271,plain,
~ c_Wellfounded_Owf(c_Relation_OId(X1),X1),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_272,plain,
( c_Orderings_Otop__class_Otop(tc_bool) = X1
| c_Orderings_Obot__class_Obot(tc_bool) = X1 ),
inference(spm,[status(thm)],[c_0_114,c_0_265]) ).
cnf(c_0_273,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_268,c_0_222]) ).
cnf(c_0_274,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_269,c_0_270])]) ).
cnf(c_0_275,plain,
~ c_Relation_Oirrefl(c_Relation_OId(X1),X1),
inference(spm,[status(thm)],[c_0_239,c_0_267]) ).
cnf(c_0_276,negated_conjecture,
c_Relation_Oirrefl(hAPP(v_xa,X1),tc_Arrow__Order__Mirabelle_Oalt),
cls_conjecture_1 ).
cnf(c_0_277,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_114,c_0_222]) ).
cnf(c_0_278,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_271,c_0_272]) ).
cnf(c_0_279,plain,
( hBOOL(c_Relation_OId(X2))
| c_Wellfounded_Owf(c_Orderings_Otop__class_Otop(tc_bool),X1) ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_280,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_275,c_0_272]) ).
cnf(c_0_281,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_276,c_0_277]) ).
cnf(c_0_282,axiom,
c_Relation_Oantisym(c_Relation_OId(X1),X1),
cls_antisym__Id_0 ).
cnf(c_0_283,plain,
( hBOOL(c_Relation_OId(X2))
| c_Relation_OId(X1) = c_Orderings_Obot__class_Obot(tc_bool) ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_284,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_280,c_0_281]) ).
cnf(c_0_285,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_286,axiom,
c_lessequals(X1,hAPP(c_Set_Oinsert(X2,X3),X1),tc_fun(X3,tc_bool)),
cls_subset__insertI_0 ).
cnf(c_0_287,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_266,c_0_220]),c_0_104])]) ).
cnf(c_0_288,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_276,c_0_265]) ).
cnf(c_0_289,plain,
( hBOOL(c_Relation_OId(X2))
| c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_bool),X1) ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_290,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_283,c_0_284]),c_0_187]) ).
cnf(c_0_291,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_292,plain,
( ~ c_Wellfounded_Owf(X1,X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
inference(fof_simplification,[status(thm)],[cls_wf__acyclic_0]) ).
cnf(c_0_293,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_285 ).
cnf(c_0_294,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_169,c_0_286]),c_0_171])]) ).
cnf(c_0_295,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice ).
cnf(c_0_296,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_297,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_298,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_102,c_0_97]) ).
cnf(c_0_299,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_287,c_0_288]) ).
cnf(c_0_300,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_289,c_0_290]),c_0_187]) ).
cnf(c_0_301,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_302,plain,
( ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
c_0_291 ).
cnf(c_0_303,plain,
( ~ c_Wellfounded_Owf(X1,X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
c_0_292 ).
cnf(c_0_304,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_293,c_0_294]),c_0_295])]) ).
cnf(c_0_305,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_296 ).
cnf(c_0_306,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_297,c_0_298]) ).
cnf(c_0_307,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_299,c_0_300]) ).
cnf(c_0_308,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_301 ).
cnf(c_0_309,plain,
( ~ c_Wellfounded_Owf(c_Relation_Oconverse(X1,X2,X2),X2)
| c_Wellfounded_Oacyclic(X1,X2) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_310,axiom,
c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
cls_converse__converse_0 ).
cnf(c_0_311,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_312,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_313,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_281,c_0_118]) ).
cnf(c_0_314,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_141,c_0_304]) ).
cnf(c_0_315,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_305,c_0_306]) ).
cnf(c_0_316,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_307,c_0_270]),c_0_187]) ).
cnf(c_0_317,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_239,c_0_210]),c_0_104])]) ).
cnf(c_0_318,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_308,c_0_170]) ).
cnf(c_0_319,plain,
( ~ c_Wellfounded_Owf(X1,X2)
| c_Wellfounded_Oacyclic(c_Relation_Oconverse(X1,X2,X2),X2) ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_320,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_321,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_216,c_0_197]),c_0_218])]) ).
cnf(c_0_322,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_311 ).
cnf(c_0_323,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_324,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_325,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_326,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_312 ).
cnf(c_0_327,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_313,c_0_314]) ).
cnf(c_0_328,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_315,c_0_316]),c_0_317]) ).
cnf(c_0_329,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_318,c_0_319]) ).
cnf(c_0_330,plain,
( ~ c_Wellfounded_Owf(X1,X3)
| c_Wellfounded_Owf(c_Relation_Oinv__image(X1,X2,X3,X4),X4) ),
c_0_320 ).
cnf(c_0_331,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_321,c_0_202]) ).
cnf(c_0_332,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_322,c_0_323]) ).
cnf(c_0_333,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_324,c_0_325]) ).
cnf(c_0_334,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_335,plain,
( ~ c_Relation_Oirrefl(c_Orderings_Obot__class_Obot(tc_bool),X2)
| hBOOL(c_Relation_OId(X1)) ),
inference(spm,[status(thm)],[c_0_275,c_0_283]) ).
cnf(c_0_336,negated_conjecture,
( hBOOL(X1)
| hBOOL(hAPP(v_xa,X2))
| c_Relation_Oirrefl(X1,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(spm,[status(thm)],[c_0_276,c_0_270]) ).
cnf(c_0_337,negated_conjecture,
v_F(v_xa) != hAPP(v_xa,v_i),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_338,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_326,c_0_210]),c_0_104]),c_0_210]),c_0_104])]) ).
cnf(c_0_339,negated_conjecture,
( c_Wellfounded_Owf(v_xa,X3)
| c_Relation_Oantisym(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_317]) ).
cnf(c_0_340,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_341,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_329,c_0_330]) ).
cnf(c_0_342,plain,
c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),
inference(spm,[status(thm)],[c_0_211,c_0_331]) ).
cnf(c_0_343,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_321,c_0_232]) ).
cnf(c_0_344,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_332,c_0_333]),c_0_257]) ).
cnf(c_0_345,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_346,plain,
( ~ c_Relation_Otrans(X1,X2)
| c_Transitive__Closure_Otrancl(X1,X2) = X1 ),
c_0_334 ).
cnf(c_0_347,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_348,negated_conjecture,
( hBOOL(c_Relation_OId(X2))
| hBOOL(hAPP(v_xa,X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_187]) ).
cnf(c_0_349,negated_conjecture,
v_F(v_xa) != hAPP(v_xa,v_i),
c_0_337 ).
cnf(c_0_350,negated_conjecture,
( c_Wellfounded_Owf(v_xa,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_351,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_352,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_353,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_308,c_0_340]) ).
cnf(c_0_354,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_102,c_0_196]) ).
cnf(c_0_355,plain,
c_Wellfounded_Oacyclic(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_356,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_343,c_0_245]),c_0_104])]) ).
cnf(c_0_357,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_344,c_0_258]) ).
cnf(c_0_358,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_345 ).
cnf(c_0_359,axiom,
c_Relation_Orel__comp(c_Relation_OId(X1),X2,X1,X1,X3) = X2,
cls_Id__O__R_0 ).
cnf(c_0_360,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_346,c_0_347]) ).
cnf(c_0_361,axiom,
c_Relation_Otrans(c_Relation_OId(X1),X1),
cls_trans__Id_0 ).
cnf(c_0_362,negated_conjecture,
( ~ c_Wellfounded_Owf(v_xa,X2)
| hBOOL(c_Relation_OId(X1)) ),
inference(spm,[status(thm)],[c_0_287,c_0_348]) ).
cnf(c_0_363,negated_conjecture,
c_Wellfounded_Owf(v_xa,X1),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350])]) ).
cnf(c_0_364,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
c_0_351 ).
cnf(c_0_365,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_352 ).
cnf(c_0_366,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_102,c_0_149]) ).
cnf(c_0_367,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_353,c_0_354]),c_0_112]),c_0_355])]) ).
cnf(c_0_368,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_251,c_0_356]) ).
cnf(c_0_369,plain,
c_Transitive__Closure_Ortrancl(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(spm,[status(thm)],[c_0_357,c_0_258]) ).
cnf(c_0_370,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_358,c_0_347]) ).
cnf(c_0_371,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_359,c_0_360]),c_0_361])]) ).
cnf(c_0_372,axiom,
c_Relation_Orel__comp(X1,c_Relation_OId(X2),X3,X2,X2) = X1,
cls_R__O__Id_0 ).
cnf(c_0_373,negated_conjecture,
hBOOL(c_Relation_OId(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_363])]) ).
cnf(c_0_374,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_364,c_0_365]) ).
cnf(c_0_375,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_210,c_0_366]) ).
cnf(c_0_376,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_367,c_0_368]) ).
cnf(c_0_377,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_369,c_0_270])]) ).
cnf(c_0_378,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_370,c_0_371]),c_0_372]),c_0_267])]) ).
cnf(c_0_379,negated_conjecture,
c_Relation_OId(X1) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_114,c_0_373]) ).
cnf(c_0_380,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_374,c_0_375]),c_0_104])]) ).
cnf(c_0_381,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_376,c_0_377]) ).
cnf(c_0_382,plain,
~ c_Wellfounded_Oacyclic(c_Orderings_Otop__class_Otop(tc_bool),X1),
inference(rw,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_383,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_102,c_0_380]) ).
cnf(c_0_384,plain,
hBOOL(c_Transitive__Closure_Ortrancl(X1,X2)),
inference(sr,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_385,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_287,c_0_336]) ).
cnf(c_0_386,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_387,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_338,c_0_383]) ).
cnf(c_0_388,plain,
c_Orderings_Otop__class_Otop(tc_bool) = c_Transitive__Closure_Ortrancl(X1,X2),
inference(spm,[status(thm)],[c_0_114,c_0_384]) ).
cnf(c_0_389,plain,
c_Relation_Oantisym(c_Orderings_Otop__class_Otop(tc_bool),X1),
inference(rw,[status(thm)],[c_0_282,c_0_379]) ).
cnf(c_0_390,negated_conjecture,
( hBOOL(X1)
| c_Relation_Oirrefl(X1,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_385,c_0_363])]) ).
cnf(c_0_391,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
c_0_386 ).
cnf(c_0_392,plain,
( ~ hBOOL(X3)
| X1 = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_388]),c_0_389])]) ).
cnf(c_0_393,negated_conjecture,
hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),
inference(spm,[status(thm)],[c_0_317,c_0_390]) ).
cnf(c_0_394,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_391,c_0_108]) ).
cnf(c_0_395,negated_conjecture,
X1 = X2,
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_396,plain,
$false,
inference(sr,[status(thm)],[c_0_394,c_0_395]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT019-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n016.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 04:31:22 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.50 Running first-order theorem proving
% 0.24/0.50 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
% 262.55/34.89 % Version: 3.5.1
% 262.55/34.89 % Preprocessing class: FSLMSMSMSSSNFFN.
% 262.55/34.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 262.55/34.89 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 262.55/34.89 % Starting new_bool_3 with 600s (2) cores
% 262.55/34.89 % Starting new_bool_1 with 300s (1) cores
% 262.55/34.89 % Starting sh5l with 300s (1) cores
% 262.55/34.89 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 1554400 completed with status 0
% 262.55/34.89 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 262.55/34.89 % Preprocessing class: FSLMSMSMSSSNFFN.
% 262.55/34.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 262.55/34.89 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 262.55/34.89 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 262.55/34.89 % No SInE strategy applied
% 262.55/34.89 % Search class: FGHSM-FSLM32-DFFFFFNN
% 262.55/34.89 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 262.55/34.89 % Starting SubtermCWHack with 109s (1) cores
% 262.55/34.89 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 262.55/34.89 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 262.55/34.89 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 262.55/34.89 % SubtermCWHack with pid 1554415 completed with status 0
% 262.55/34.89 % Result found by SubtermCWHack
% 262.55/34.89 % Preprocessing class: FSLMSMSMSSSNFFN.
% 262.55/34.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 262.55/34.89 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 262.55/34.89 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 262.55/34.89 % No SInE strategy applied
% 262.55/34.89 % Search class: FGHSM-FSLM32-DFFFFFNN
% 262.55/34.89 % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 262.55/34.89 % Starting SubtermCWHack with 109s (1) cores
% 262.55/34.89 % Preprocessing time : 0.009 s
% 262.55/34.89
% 262.55/34.89 % Proof found!
% 262.55/34.89 % SZS status Unsatisfiable
% 262.55/34.89 % SZS output start CNFRefutation
% See solution above
% 262.55/34.89 % Parsed axioms : 712
% 262.55/34.89 % Removed by relevancy pruning/SinE : 0
% 262.55/34.89 % Initial clauses : 712
% 262.55/34.89 % Removed in clause preprocessing : 4
% 262.55/34.89 % Initial clauses in saturation : 708
% 262.55/34.89 % Processed clauses : 52766
% 262.55/34.89 % ...of these trivial : 844
% 262.55/34.89 % ...subsumed : 45027
% 262.55/34.89 % ...remaining for further processing : 6895
% 262.55/34.89 % Other redundant clauses eliminated : 12675
% 262.55/34.89 % Clauses deleted for lack of memory : 0
% 262.55/34.89 % Backward-subsumed : 2402
% 262.55/34.89 % Backward-rewritten : 1219
% 262.55/34.89 % Generated clauses : 1804866
% 262.55/34.89 % ...of the previous two non-redundant : 1683884
% 262.55/34.89 % ...aggressively subsumed : 0
% 262.55/34.89 % Contextual simplify-reflections : 24
% 262.55/34.89 % Paramodulations : 1791981
% 262.55/34.89 % Factorizations : 66
% 262.55/34.89 % NegExts : 0
% 262.55/34.89 % Equation resolutions : 12685
% 262.55/34.89 % Disequality decompositions : 0
% 262.55/34.89 % Total rewrite steps : 279329
% 262.55/34.89 % ...of those cached : 254196
% 262.55/34.89 % Propositional unsat checks : 0
% 262.55/34.89 % Propositional check models : 0
% 262.55/34.89 % Propositional check unsatisfiable : 0
% 262.55/34.89 % Propositional clauses : 0
% 262.55/34.89 % Propositional clauses after purity: 0
% 262.55/34.89 % Propositional unsat core size : 0
% 262.55/34.89 % Propositional preprocessing time : 0.000
% 262.55/34.89 % Propositional encoding time : 0.000
% 262.55/34.89 % Propositional solver time : 0.000
% 262.55/34.89 % Success case prop preproc time : 0.000
% 262.55/34.89 % Success case prop encoding time : 0.000
% 262.55/34.89 % Success case prop solver time : 0.000
% 262.55/34.89 % Current number of processed clauses : 3138
% 262.55/34.89 % Positive orientable unit clauses : 357
% 262.55/34.89 % Positive unorientable unit clauses: 1
% 262.55/34.89 % Negative unit clauses : 82
% 262.55/34.89 % Non-unit-clauses : 2698
% 262.55/34.89 % Current number of unprocessed clauses: 1624380
% 262.55/34.89 % ...number of literals in the above : 5860577
% 262.55/34.89 % Current number of archived formulas : 0
% 262.55/34.89 % Current number of archived clauses : 3757
% 262.55/34.89 % Clause-clause subsumption calls (NU) : 3341308
% 262.55/34.89 % Rec. Clause-clause subsumption calls : 2202541
% 262.55/34.89 % Non-unit clause-clause subsumptions : 40142
% 262.55/34.89 % Unit Clause-clause subsumption calls : 113772
% 262.55/34.89 % Rewrite failures with RHS unbound : 7208
% 262.55/34.89 % BW rewrite match attempts : 16704
% 262.55/34.89 % BW rewrite match successes : 6815
% 262.55/34.89 % Condensation attempts : 0
% 262.55/34.89 % Condensation successes : 0
% 262.55/34.89 % Termbank termtop insertions : 31575920
% 262.55/34.89 % Search garbage collected termcells : 1251
% 262.55/34.89
% 262.55/34.89 % -------------------------------------------------
% 262.55/34.89 % User time : 32.045 s
% 262.55/34.89 % System time : 1.257 s
% 262.55/34.89 % Total time : 33.302 s
% 262.55/34.89 % Maximum resident set size: 5008 pages
% 262.55/34.89
% 262.55/34.89 % -------------------------------------------------
% 262.55/34.89 % User time : 129.112 s
% 262.55/34.89 % System time : 4.189 s
% 262.55/34.89 % Total time : 133.301 s
% 262.55/34.89 % Maximum resident set size: 5376 pages
% 262.55/34.89 % E exiting
%------------------------------------------------------------------------------