TSTP Solution File: SCT006-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SCT006-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:45:22 EDT 2024
% Result : Unsatisfiable 6.88s 1.37s
% Output : CNFRefutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 36
% Syntax : Number of clauses : 170 ( 85 unt; 38 nHn; 65 RR)
% Number of literals : 274 ( 96 equ; 94 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 4 con; 0-5 aty)
% Number of variables : 424 ( 107 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__neg__eq_0,axiom,
c_Collect(c_COMBB(c_Not,X1,tc_bool,tc_bool,X2),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),c_Collect(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__neg__eq_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_vimage__Collect__eq_0,axiom,
c_Set_Ovimage(X1,c_Collect(X2,X3),X4,X3) = c_Collect(c_COMBB(X2,X1,X3,tc_bool,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Collect__eq_0) ).
cnf(cls_Collect__mem__eq_0,axiom,
c_Collect(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__mem__eq_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBB__def_0) ).
cnf(cls_vimage__Compl_0,axiom,
c_Set_Ovimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X4,X2) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X4,tc_bool)),c_Set_Ovimage(X1,X3,X4,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Compl_0) ).
cnf(cls_vimage__const_1,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_1) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
cnf(cls_double__complement_0,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__complement_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_CollectI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectI_0) ).
cnf(cls_image__vimage__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__subset_0) ).
cnf(cls_disjoint__iff__not__equal_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_le__funD_0,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(cls_insert__def_0,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__def_0) ).
cnf(cls_funcset__image_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X1),c_FuncSet_OPi(X2,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_funcset__image_0) ).
cnf(cls_Pi__I_0,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XPi__I__1__1(X4,X5,X3,X1,X2)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pi__I_0) ).
cnf(cls_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_ComplD_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplD_0) ).
cnf(cls_inf__bot__left_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).
cnf(cls_inf__absorb2_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(cls_ComplI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplI_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(cls_CollectD_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectD_0) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(clsarity_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_empty__is__image_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
cnf(cls_image__constant__conv_1,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).
cnf(cls_Un__empty__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(cls_subset__Compl__self__eq_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_Int__absorb_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_Pow__bottom_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Set_OPow(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pow__bottom_0) ).
cnf(cls_Pow__top_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pow__top_0) ).
cnf(c_0_36,axiom,
c_Collect(c_COMBB(c_Not,X1,tc_bool,tc_bool,X2),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),c_Collect(X1,X2)),
cls_Collect__neg__eq_0 ).
cnf(c_0_37,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(c_0_38,axiom,
c_Set_Ovimage(X1,c_Collect(X2,X3),X4,X3) = c_Collect(c_COMBB(X2,X1,X3,tc_bool,X4),X4),
cls_vimage__Collect__eq_0 ).
cnf(c_0_39,axiom,
c_Collect(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),X1) = X2,
cls_Collect__mem__eq_0 ).
cnf(c_0_40,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
cls_COMBB__def_0 ).
cnf(c_0_41,plain,
c_COMBB(c_Not,X1,tc_bool,tc_bool,X2) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_37]) ).
cnf(c_0_42,axiom,
c_Set_Ovimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X4,X2) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X4,tc_bool)),c_Set_Ovimage(X1,X3,X4,X2)),
cls_vimage__Compl_0 ).
cnf(c_0_43,plain,
c_Set_Ovimage(X1,X2,X4,X3) = c_COMBB(X2,X1,X3,tc_bool,X4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_37]),c_0_37]) ).
cnf(c_0_44,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
cls_vimage__const_1 ).
cnf(c_0_45,axiom,
hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
cls_COMBC__def_0 ).
cnf(c_0_46,plain,
hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) = X2,
inference(rw,[status(thm)],[c_0_39,c_0_37]) ).
cnf(c_0_47,plain,
hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3) = hAPP(c_Not,hAPP(X2,X3)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
cls_double__complement_0 ).
cnf(c_0_49,plain,
c_COMBB(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X1,X2,tc_bool,X4) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X4,tc_bool)),c_COMBB(X3,X1,X2,tc_bool,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_43]) ).
cnf(c_0_50,plain,
( c_COMBB(X4,c_COMBK(X1,X2,X3),X2,tc_bool,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
inference(rw,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_51,plain,
hAPP(hAPP(c_in(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
hAPP(c_Not,hAPP(c_Not,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_47]) ).
cnf(c_0_53,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0 ).
cnf(c_0_54,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(fof_simplification,[status(thm)],[cls_CollectI_0]) ).
cnf(c_0_55,plain,
c_COMBB(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_bool,tc_bool)),c_Not),X1,tc_bool,tc_bool,X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_41]),c_0_48]) ).
cnf(c_0_56,plain,
( c_COMBB(X1,c_COMBK(X2,X3,X4),X3,tc_bool,X4) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
hAPP(c_Not,hAPP(c_Not,X1)) = X1,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
cls_image__vimage__subset_0 ).
cnf(c_0_59,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_disjoint__iff__not__equal_0]) ).
cnf(c_0_60,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
| ~ hBOOL(hAPP(X3,X2)) ),
c_0_54 ).
cnf(c_0_61,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_62,plain,
( c_COMBK(X1,tc_bool,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_47]),c_0_57]) ).
cnf(c_0_63,plain,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
inference(fof_simplification,[status(thm)],[cls_le__funD_0]) ).
cnf(c_0_64,plain,
c_lessequals(c_Set_Oimage(X1,c_COMBB(X2,X1,X4,tc_bool,X3),X3,X4),X2,tc_fun(X4,tc_bool)),
inference(rw,[status(thm)],[c_0_58,c_0_43]) ).
cnf(c_0_65,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
c_0_59 ).
cnf(c_0_66,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(rw,[status(thm)],[c_0_60,c_0_37]) ).
cnf(c_0_67,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
cls_insert__def_0 ).
cnf(c_0_68,plain,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X1),c_FuncSet_OPi(X2,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4))) ),
inference(fof_simplification,[status(thm)],[cls_funcset__image_0]) ).
cnf(c_0_69,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X1),c_Arrow__Order__Mirabelle_OLin)),
c_0_61 ).
cnf(c_0_70,axiom,
( hBOOL(hAPP(hAPP(c_in(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X4,X5,X1,X2)))
| hBOOL(hAPP(hAPP(c_in(X1),c_FuncSet_Osko__FuncSet__XPi__I__1__1(X4,X5,X3,X1,X2)),X4)) ),
cls_Pi__I_0 ).
cnf(c_0_71,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_72,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2) = X3
| hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_62]) ).
cnf(c_0_73,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
inference(fof_simplification,[status(thm)],[cls_ComplD_0]) ).
cnf(c_0_74,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(fof_simplification,[status(thm)],[cls_inf__bot__left_0]) ).
cnf(c_0_75,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_inf__absorb2_0]) ).
cnf(c_0_76,plain,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
c_0_63 ).
cnf(c_0_77,plain,
c_lessequals(c_Set_Oimage(X1,X1,X2,tc_bool),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_bool,tc_bool)),c_Not),tc_fun(tc_bool,tc_bool)),
inference(spm,[status(thm)],[c_0_64,c_0_55]) ).
cnf(c_0_78,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord ).
cnf(c_0_79,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_ComplI_0 ).
cnf(c_0_80,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_81,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_singleton__conv2_0 ).
cnf(c_0_82,plain,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[c_0_67,c_0_37]) ).
cnf(c_0_83,plain,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(X3,X4)),X1),c_FuncSet_OPi(X2,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4))) ),
c_0_68 ).
cnf(c_0_84,negated_conjecture,
~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,X1)),
inference(spm,[status(thm)],[c_0_69,c_0_66]) ).
cnf(c_0_85,plain,
( hBOOL(hAPP(X1,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X1,X2,X3,X4,X5)))
| hBOOL(hAPP(c_FuncSet_OPi(X1,X2,X4,X5),X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_51]),c_0_51]) ).
cnf(c_0_86,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
c_0_71 ).
cnf(c_0_87,plain,
( X1 = X2
| hBOOL(X1)
| hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_72]) ).
cnf(c_0_88,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
inference(fof_simplification,[status(thm)],[cls_CollectD_0]) ).
cnf(c_0_89,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
c_0_73 ).
cnf(c_0_90,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
c_0_74 ).
cnf(c_0_91,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice ).
cnf(c_0_92,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
c_0_75 ).
cnf(c_0_93,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice ).
cnf(c_0_94,plain,
c_lessequals(hAPP(c_Set_Oimage(X1,X1,X2,tc_bool),X3),X3,tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_47]),c_0_57]),c_0_78])]) ).
cnf(c_0_95,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
cls_empty__is__image_1 ).
cnf(c_0_96,plain,
( hBOOL(hAPP(c_Not,hAPP(X1,X2)))
| hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_51]),c_0_47]),c_0_51]) ).
cnf(c_0_97,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(spm,[status(thm)],[c_0_80,c_0_66]) ).
cnf(c_0_98,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_image__constant__conv_1 ).
cnf(c_0_99,plain,
hAPP(c_fequal(X1),X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_37]),c_0_82]) ).
cnf(c_0_100,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Un__empty__right_0 ).
cnf(c_0_101,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_subset__Compl__self__eq_0]) ).
cnf(c_0_102,plain,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(c_FuncSet_OPi(X2,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4),X1)) ),
inference(rw,[status(thm)],[c_0_83,c_0_51]) ).
cnf(c_0_103,negated_conjecture,
hBOOL(hAPP(c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OLin,X1,X2,X3),X4)),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_104,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0 ).
cnf(c_0_105,plain,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))
| hBOOL(X2)
| ~ hBOOL(hAPP(X2,X3)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_106,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
c_0_88 ).
cnf(c_0_107,plain,
( ~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2)) ),
inference(spm,[status(thm)],[c_0_89,c_0_66]) ).
cnf(c_0_108,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_bool),X1,tc_bool) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_109,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool) = X2
| ~ c_lessequals(X2,X1,tc_bool) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_110,plain,
c_lessequals(hAPP(c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)),X1),X1,tc_bool),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_111,plain,
( hBOOL(hAPP(c_Not,X1))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_53]) ).
cnf(c_0_112,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Not,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,hAPP(c_Not,X3)))
| ~ hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_57]) ).
cnf(c_0_113,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Int__absorb_0 ).
cnf(c_0_114,plain,
( X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rw,[status(thm)],[c_0_98,c_0_82]) ).
cnf(c_0_115,plain,
hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2) = hAPP(c_fequal(X1),X2),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_116,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) ),
c_0_101 ).
cnf(c_0_117,negated_conjecture,
c_lessequals(c_Set_Oimage(X1,c_Arrow__Order__Mirabelle_OLin,X2,X3),X4,tc_fun(X3,tc_bool)),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_118,plain,
( c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_fequal(X1),X2),X3,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(spm,[status(thm)],[c_0_97,c_0_104]) ).
cnf(c_0_119,plain,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))
| hBOOL(hAPP(c_in(X2),X3))
| ~ hBOOL(hAPP(X4,X3)) ),
inference(spm,[status(thm)],[c_0_105,c_0_51]) ).
cnf(c_0_120,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
inference(rw,[status(thm)],[c_0_106,c_0_37]) ).
cnf(c_0_121,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Set_OPow(X2,X1))),
cls_Pow__bottom_0 ).
cnf(c_0_122,plain,
( ~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rw,[status(thm)],[c_0_107,c_0_51]) ).
cnf(c_0_123,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_bool)
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_bool),tc_bool) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_124,plain,
( hBOOL(X1)
| c_lessequals(X1,X2,tc_bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_87]),c_0_86]) ).
cnf(c_0_125,plain,
( hBOOL(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Not,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_111]) ).
cnf(c_0_126,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Not
| ~ hBOOL(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_57]),c_0_113]) ).
cnf(c_0_127,plain,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = hAPP(c_fequal(X2),X1)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115]),c_0_100]) ).
cnf(c_0_128,negated_conjecture,
c_Set_Oimage(X1,c_Arrow__Order__Mirabelle_OLin,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_129,plain,
hAPP(c_fequal(X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_113]),c_0_104])]) ).
cnf(c_0_130,plain,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))
| hBOOL(hAPP(c_in(X2),X3))
| ~ hBOOL(X4) ),
inference(spm,[status(thm)],[c_0_119,c_0_53]) ).
cnf(c_0_131,plain,
hBOOL(hAPP(c_Set_OPow(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_132,plain,
( ~ hBOOL(hAPP(c_Not,hAPP(X1,X2)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[c_0_122,c_0_47]) ).
cnf(c_0_133,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_bool)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_134,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Not,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_111]),c_0_113]),c_0_126]) ).
cnf(c_0_135,negated_conjecture,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Arrow__Order__Mirabelle_OLin,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_136,plain,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))
| hBOOL(hAPP(c_in(X2),X3)) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_137,negated_conjecture,
( X1 = hAPP(c_Arrow__Order__Mirabelle_OLin,X2)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_87]) ).
cnf(c_0_138,plain,
( ~ hBOOL(hAPP(c_Not,X1))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_53]) ).
cnf(c_0_139,plain,
( hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) = X1
| hBOOL(hAPP(c_Not,X1)) ),
inference(spm,[status(thm)],[c_0_57,c_0_133]) ).
cnf(c_0_140,plain,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))
| hBOOL(c_Not) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_87])]) ).
cnf(c_0_141,plain,
( hBOOL(c_Arrow__Order__Mirabelle_OLin)
| hBOOL(X1)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[c_0_105,c_0_135]) ).
cnf(c_0_142,plain,
( hBOOL(hAPP(c_in(X1),X2))
| hBOOL(c_Arrow__Order__Mirabelle_OLin) ),
inference(rw,[status(thm)],[c_0_136,c_0_135]) ).
cnf(c_0_143,negated_conjecture,
c_lessequals(hAPP(c_Arrow__Order__Mirabelle_OLin,X1),X2,tc_bool),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_137]),c_0_86]) ).
cnf(c_0_144,plain,
( hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) = X1
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_145,plain,
( hBOOL(c_Not)
| hBOOL(c_Arrow__Order__Mirabelle_OLin) ),
inference(rw,[status(thm)],[c_0_140,c_0_135]) ).
cnf(c_0_146,plain,
( hAPP(c_Not,X1) = c_Orderings_Obot__class_Obot(tc_bool)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_133]) ).
cnf(c_0_147,plain,
( hBOOL(c_in(X1))
| hBOOL(c_Arrow__Order__Mirabelle_OLin) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_148,negated_conjecture,
hAPP(c_Arrow__Order__Mirabelle_OLin,X1) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_123,c_0_143]) ).
cnf(c_0_149,plain,
( hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) = c_Not
| hBOOL(c_Arrow__Order__Mirabelle_OLin) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,plain,
( hAPP(c_Not,c_in(X1)) = c_Orderings_Obot__class_Obot(tc_bool)
| hBOOL(c_Arrow__Order__Mirabelle_OLin) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_151,negated_conjecture,
~ hBOOL(c_Orderings_Obot__class_Obot(tc_bool)),
inference(spm,[status(thm)],[c_0_84,c_0_148]) ).
cnf(c_0_152,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = hAPP(c_Not,c_Not)
| hBOOL(c_Arrow__Order__Mirabelle_OLin) ),
inference(spm,[status(thm)],[c_0_146,c_0_145]) ).
cnf(c_0_153,plain,
( c_in(X1) = c_Not
| hBOOL(c_Arrow__Order__Mirabelle_OLin) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_57]) ).
cnf(c_0_154,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(X1,tc_bool)),X2),c_Set_OPow(X2,X1))),
cls_Pow__top_0 ).
cnf(c_0_155,negated_conjecture,
( hBOOL(c_Arrow__Order__Mirabelle_OLin)
| ~ hBOOL(hAPP(c_Not,c_Not)) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_156,plain,
( hBOOL(hAPP(c_Not,X1))
| hBOOL(c_Arrow__Order__Mirabelle_OLin) ),
inference(spm,[status(thm)],[c_0_142,c_0_153]) ).
cnf(c_0_157,plain,
hBOOL(hAPP(c_Set_OPow(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_120,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
hBOOL(c_Arrow__Order__Mirabelle_OLin),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_OPow(X1,X2),X3,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_157]) ).
cnf(c_0_160,negated_conjecture,
c_Orderings_Obot__class_Obot(tc_bool) = hAPP(c_Not,c_Arrow__Order__Mirabelle_OLin),
inference(spm,[status(thm)],[c_0_146,c_0_158]) ).
cnf(c_0_161,plain,
c_Set_OPow(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_113]),c_0_157])]) ).
cnf(c_0_162,plain,
( c_Arrow__Order__Mirabelle_OLin = X1
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_160]),c_0_57]) ).
cnf(c_0_163,plain,
( hBOOL(c_Set_OPow(X1,X2))
| hBOOL(hAPP(X3,X1))
| hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_157,c_0_87]) ).
cnf(c_0_164,plain,
c_Set_OPow(X1,X2) != c_Arrow__Order__Mirabelle_OLin,
inference(rw,[status(thm)],[c_0_161,c_0_135]) ).
cnf(c_0_165,negated_conjecture,
~ hBOOL(hAPP(c_Not,c_Arrow__Order__Mirabelle_OLin)),
inference(rw,[status(thm)],[c_0_151,c_0_160]) ).
cnf(c_0_166,plain,
( hBOOL(hAPP(X1,X2))
| hBOOL(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_167,negated_conjecture,
hBOOL(c_Not),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_168,plain,
c_Not != c_Arrow__Order__Mirabelle_OLin,
inference(rw,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_169,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_167]),c_0_168]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SCT006-1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 23:59:37 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.21/0.50 Running first-order model finding
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.88/1.37 # Version: 3.1.0
% 6.88/1.37 # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.88/1.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.88/1.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.88/1.37 # Starting new_bool_3 with 300s (1) cores
% 6.88/1.37 # Starting new_bool_1 with 300s (1) cores
% 6.88/1.37 # Starting sh5l with 300s (1) cores
% 6.88/1.37 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3628 completed with status 0
% 6.88/1.37 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.88/1.37 # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.88/1.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.88/1.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.88/1.37 # No SInE strategy applied
% 6.88/1.37 # Search class: FGHSM-FSLM33-DFFFFFNN
% 6.88/1.37 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 6.88/1.37 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 6.88/1.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.88/1.37 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 6.88/1.37 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 6.88/1.37 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 6.88/1.37 # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 3639 completed with status 0
% 6.88/1.37 # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 6.88/1.37 # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.88/1.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.88/1.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.88/1.37 # No SInE strategy applied
% 6.88/1.37 # Search class: FGHSM-FSLM33-DFFFFFNN
% 6.88/1.37 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 6.88/1.37 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 6.88/1.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.88/1.37 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 6.88/1.37 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 6.88/1.37 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 6.88/1.37 # Preprocessing time : 0.009 s
% 6.88/1.37 # Presaturation interreduction done
% 6.88/1.37
% 6.88/1.37 # Proof found!
% 6.88/1.37 # SZS status Unsatisfiable
% 6.88/1.37 # SZS output start CNFRefutation
% See solution above
% 6.88/1.37 # Parsed axioms : 654
% 6.88/1.37 # Removed by relevancy pruning/SinE : 0
% 6.88/1.37 # Initial clauses : 654
% 6.88/1.37 # Removed in clause preprocessing : 3
% 6.88/1.37 # Initial clauses in saturation : 651
% 6.88/1.37 # Processed clauses : 5858
% 6.88/1.37 # ...of these trivial : 450
% 6.88/1.37 # ...subsumed : 3572
% 6.88/1.37 # ...remaining for further processing : 1836
% 6.88/1.37 # Other redundant clauses eliminated : 520
% 6.88/1.37 # Clauses deleted for lack of memory : 0
% 6.88/1.37 # Backward-subsumed : 54
% 6.88/1.37 # Backward-rewritten : 331
% 6.88/1.37 # Generated clauses : 51891
% 6.88/1.37 # ...of the previous two non-redundant : 43586
% 6.88/1.37 # ...aggressively subsumed : 0
% 6.88/1.37 # Contextual simplify-reflections : 7
% 6.88/1.37 # Paramodulations : 51341
% 6.88/1.37 # Factorizations : 23
% 6.88/1.37 # NegExts : 0
% 6.88/1.37 # Equation resolutions : 527
% 6.88/1.37 # Disequality decompositions : 0
% 6.88/1.37 # Total rewrite steps : 19208
% 6.88/1.37 # ...of those cached : 15756
% 6.88/1.37 # Propositional unsat checks : 0
% 6.88/1.37 # Propositional check models : 0
% 6.88/1.37 # Propositional check unsatisfiable : 0
% 6.88/1.37 # Propositional clauses : 0
% 6.88/1.37 # Propositional clauses after purity: 0
% 6.88/1.37 # Propositional unsat core size : 0
% 6.88/1.37 # Propositional preprocessing time : 0.000
% 6.88/1.37 # Propositional encoding time : 0.000
% 6.88/1.37 # Propositional solver time : 0.000
% 6.88/1.37 # Success case prop preproc time : 0.000
% 6.88/1.37 # Success case prop encoding time : 0.000
% 6.88/1.37 # Success case prop solver time : 0.000
% 6.88/1.37 # Current number of processed clauses : 938
% 6.88/1.37 # Positive orientable unit clauses : 307
% 6.88/1.37 # Positive unorientable unit clauses: 20
% 6.88/1.37 # Negative unit clauses : 27
% 6.88/1.37 # Non-unit-clauses : 584
% 6.88/1.37 # Current number of unprocessed clauses: 38310
% 6.88/1.37 # ...number of literals in the above : 103460
% 6.88/1.37 # Current number of archived formulas : 0
% 6.88/1.37 # Current number of archived clauses : 897
% 6.88/1.37 # Clause-clause subsumption calls (NU) : 108765
% 6.88/1.37 # Rec. Clause-clause subsumption calls : 68902
% 6.88/1.37 # Non-unit clause-clause subsumptions : 2753
% 6.88/1.37 # Unit Clause-clause subsumption calls : 11420
% 6.88/1.37 # Rewrite failures with RHS unbound : 199
% 6.88/1.37 # BW rewrite match attempts : 2104
% 6.88/1.37 # BW rewrite match successes : 224
% 6.88/1.37 # Condensation attempts : 0
% 6.88/1.37 # Condensation successes : 0
% 6.88/1.37 # Termbank termtop insertions : 738629
% 6.88/1.37 # Search garbage collected termcells : 1238
% 6.88/1.37
% 6.88/1.37 # -------------------------------------------------
% 6.88/1.37 # User time : 0.792 s
% 6.88/1.37 # System time : 0.025 s
% 6.88/1.37 # Total time : 0.817 s
% 6.88/1.37 # Maximum resident set size: 3140 pages
% 6.88/1.37
% 6.88/1.37 # -------------------------------------------------
% 6.88/1.37 # User time : 3.904 s
% 6.88/1.37 # System time : 0.143 s
% 6.88/1.37 # Total time : 4.047 s
% 6.88/1.37 # Maximum resident set size: 2228 pages
% 6.88/1.37 % E---3.1 exiting
%------------------------------------------------------------------------------