TSTP Solution File: SCT016-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SCT016-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:17:07 EDT 2023
% Result : Unsatisfiable 11.99s 2.22s
% Output : CNFRefutation 11.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 43
% Syntax : Number of clauses : 164 ( 95 unt; 14 nHn; 71 RR)
% Number of literals : 235 ( 132 equ; 79 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 4 con; 0-4 aty)
% Number of variables : 325 ( 116 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_vimage__Collect__eq_0,axiom,
hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_Collect(X3),X4)) = hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(X3,tc_bool,X2),X4),X1)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_vimage__Collect__eq_0) ).
cnf(cls_Collect__def_0,axiom,
hAPP(c_Collect(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_Collect__def_0) ).
cnf(cls_Collect__mem__eq_0,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)) = X2,
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_Collect__mem__eq_0) ).
cnf(cls_Collect__neg__eq_0,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_Collect__neg__eq_0) ).
cnf(cls_vimage__const_0,axiom,
( hAPP(c_Set_Ovimage(c_COMBK(X1,X2,X3),X3,X2),X4) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_vimage__const_0) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_COMBC__def_0) ).
cnf(cls_sup__Un__eq_0,axiom,
hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),X1)),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),X2)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),X1),X2)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_sup__Un__eq_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/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_double__complement_0) ).
cnf(cls_Compl__UNIV__eq_0,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_Compl__UNIV__eq_0) ).
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/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_ComplI_0) ).
cnf(cls_Un__empty__right_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_Un__empty__right_0) ).
cnf(cls_bot__fun__eq_0,axiom,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_bot__fun__eq_0) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',clsarity_bool__Orderings_Obot) ).
cnf(cls_vimage__ident_0,axiom,
hAPP(c_Set_Ovimage(c_COMBI(X1),X1,X1),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_vimage__ident_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_COMBB__def_0) ).
cnf(cls_exE__some_0,axiom,
( hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X1,X3)))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_exE__some_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_bot1E_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_COMBK__def_0) ).
cnf(cls_COMBI__def_0,axiom,
hAPP(c_COMBI(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_COMBI__def_0) ).
cnf(cls_empty__not__insert_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_empty__not__insert_0) ).
cnf(cls_insert__image_0,axiom,
( hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),X5)) = hAPP(c_Set_Oimage(X2,X4,X1),X5)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5)) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_insert__image_0) ).
cnf(cls_fun__Compl__def_0,axiom,
( hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x))
| ~ class_HOL_Ouminus(X1) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_fun__Compl__def_0) ).
cnf(clsarity_bool__HOL_Ouminus,axiom,
class_HOL_Ouminus(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',clsarity_bool__HOL_Ouminus) ).
cnf(cls_compl__bot__eq_0,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_compl__bot__eq_0) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',clsarity_bool__Lattices_Oboolean__algebra) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_mem__def_1) ).
cnf(cls_total__on__empty_0,axiom,
hBOOL(c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_total__on__empty_0) ).
cnf(cls_Compl__eq__Compl__iff_0,axiom,
( X2 = X3
| hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_Compl__eq__Compl__iff_0) ).
cnf(cls_sup__compl__top_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_sup__compl__top_0) ).
cnf(cls_sup__bot__right_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_sup__bot__right_0) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(cls_Compl__empty__eq_0,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_Compl__empty__eq_0) ).
cnf(cls_vimageE_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),hAPP(c_Set_Ovimage(X2,X5,X1),X4))) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_vimageE_0) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_top1I_0) ).
cnf(cls_image__ident_0,axiom,
hAPP(c_Set_Oimage(c_COMBI(X1),X1,X1),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_image__ident_0) ).
cnf(cls_UNIV__I_0,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_UNIV__I_0) ).
cnf(cls_sup__top__left_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_sup__top__left_0) ).
cnf(cls_insert__absorb_0,axiom,
( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_insert__absorb_0) ).
cnf(cls_RangeP_Ointros_0,axiom,
( hBOOL(c_Predicate_ORangeP(X1,X2,X3,X4))
| ~ hBOOL(hAPP(hAPP(X1,X5),X2)) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_RangeP_Ointros_0) ).
cnf(cls_order_Oless__le_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X2))
| ~ c_Orderings_Oorder(X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_order_Oless__le_1) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_insert__code_1) ).
cnf(cls_dual__order_0,axiom,
( c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',cls_dual__order_0) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p',clsarity_bool__Orderings_Oorder) ).
cnf(c_0_43,axiom,
hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_Collect(X3),X4)) = hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(X3,tc_bool,X2),X4),X1)),
cls_vimage__Collect__eq_0 ).
cnf(c_0_44,axiom,
hAPP(c_Collect(X1),X2) = X2,
cls_Collect__def_0 ).
cnf(c_0_45,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)) = X2,
cls_Collect__mem__eq_0 ).
cnf(c_0_46,axiom,
hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),
cls_Collect__neg__eq_0 ).
cnf(c_0_47,axiom,
( hAPP(c_Set_Ovimage(c_COMBK(X1,X2,X3),X3,X2),X4) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
cls_vimage__const_0 ).
cnf(c_0_48,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),X4) = hAPP(hAPP(c_COMBB(X3,tc_bool,X2),X4),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_44]) ).
cnf(c_0_49,axiom,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
cls_COMBC__def_0 ).
cnf(c_0_50,plain,
hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2) = X2,
inference(rw,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_51,axiom,
hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),X1)),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),X2)),v_x) = hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),X1),X2)),
cls_sup__Un__eq_0 ).
cnf(c_0_52,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_53,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2) = hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_44]),c_0_44]) ).
cnf(c_0_54,plain,
( hAPP(hAPP(c_COMBB(X1,tc_bool,X2),X3),c_COMBK(X4,X1,X2)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3)) ),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
hAPP(hAPP(c_in(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Compl__UNIV__eq_0 ).
cnf(c_0_57,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_58,plain,
hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),X1),X2)) = hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),X1),X2),v_x),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_50]),c_0_50]) ).
cnf(c_0_59,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
cls_Un__empty__right_0 ).
cnf(c_0_60,axiom,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__fun__eq_0 ).
cnf(c_0_61,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot ).
cnf(c_0_62,axiom,
hAPP(c_Set_Ovimage(c_COMBI(X1),X1,X1),X2) = X2,
cls_vimage__ident_0 ).
cnf(c_0_63,plain,
hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_53]) ).
cnf(c_0_64,plain,
( hAPP(hAPP(c_COMBB(X1,tc_bool,X2),X3),c_COMBK(X4,X1,X2)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X3,X4)) ),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,plain,
hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_66,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X3)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(rw,[status(thm)],[c_0_57,c_0_53]) ).
cnf(c_0_67,plain,
hAPP(hAPP(c_in(t_a),v_x),X1) = hAPP(X1,v_x),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
cls_COMBB__def_0 ).
cnf(c_0_69,axiom,
( hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X1,X3)))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_exE__some_0 ).
cnf(c_0_70,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_60,c_0_61]) ).
cnf(c_0_71,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_72,plain,
hAPP(hAPP(c_COMBB(X1,tc_bool,X1),X2),c_COMBI(X1)) = X2,
inference(rw,[status(thm)],[c_0_62,c_0_48]) ).
cnf(c_0_73,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0 ).
cnf(c_0_74,plain,
( c_COMBK(X1,tc_bool,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(c_Not,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_75,plain,
( hBOOL(hAPP(c_Not,hAPP(X1,v_x)))
| hBOOL(hAPP(X1,v_x)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_67]) ).
cnf(c_0_76,plain,
~ hBOOL(c_Orderings_Obot__class_Obot(tc_bool)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_77,axiom,
hAPP(c_COMBI(X1),X2) = X2,
cls_COMBI__def_0 ).
cnf(c_0_78,plain,
c_COMBI(tc_bool) = hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_bool),c_Not),c_Not),
inference(spm,[status(thm)],[c_0_63,c_0_72]) ).
cnf(c_0_79,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2) = X3
| ~ hBOOL(hAPP(c_Not,X3)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
hBOOL(hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_70]),c_0_76]) ).
cnf(c_0_81,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
cls_empty__not__insert_0 ).
cnf(c_0_82,axiom,
( hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),X5)) = hAPP(c_Set_Oimage(X2,X4,X1),X5)
| ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5)) ),
cls_insert__image_0 ).
cnf(c_0_83,plain,
hAPP(c_Not,hAPP(c_Not,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_68]) ).
cnf(c_0_84,axiom,
( hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x))
| ~ class_HOL_Ouminus(X1) ),
cls_fun__Compl__def_0 ).
cnf(c_0_85,axiom,
class_HOL_Ouminus(tc_bool),
clsarity_bool__HOL_Ouminus ).
cnf(c_0_86,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__bot__eq_0 ).
cnf(c_0_87,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
clsarity_bool__Lattices_Oboolean__algebra ).
cnf(c_0_88,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_79,c_0_80]) ).
cnf(c_0_89,plain,
( hAPP(c_Set_Oimage(X1,X2,X3),X4) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X4)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_mem__def_1 ).
cnf(c_0_91,plain,
( hBOOL(hAPP(c_Not,c_Hilbert__Choice_OEps(c_Not,X1)))
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_83]) ).
cnf(c_0_92,axiom,
hBOOL(c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1)),
cls_total__on__empty_0 ).
cnf(c_0_93,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),hAPP(X1,v_x)) = hAPP(c_Not,hAPP(X1,v_x)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_53]),c_0_68]) ).
cnf(c_0_94,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = X1
| ~ hBOOL(hAPP(c_Not,X1)) ),
inference(rw,[status(thm)],[c_0_79,c_0_88]) ).
cnf(c_0_96,plain,
( hBOOL(hAPP(c_Not,X1))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_73]) ).
cnf(c_0_97,axiom,
( X2 = X3
| hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3) ),
cls_Compl__eq__Compl__iff_0 ).
cnf(c_0_98,plain,
( hAPP(c_Set_Oimage(X1,X2,X3),X4) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X4,X5)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,plain,
hBOOL(hAPP(c_Not,c_Hilbert__Choice_OEps(c_Not,X1))),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_sup__compl__top_0 ).
cnf(c_0_101,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),X1) = hAPP(c_Not,X1),
inference(spm,[status(thm)],[c_0_93,c_0_73]) ).
cnf(c_0_102,plain,
c_Orderings_Otop__class_Otop(tc_bool) = hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_70]),c_0_94]) ).
cnf(c_0_103,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = X1
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__right_0 ).
cnf(c_0_105,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice ).
cnf(c_0_106,plain,
( X1 = X2
| hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X3),c_Not),X1) != hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X3),c_Not),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_53]),c_0_53]) ).
cnf(c_0_107,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
cls_Compl__empty__eq_0 ).
cnf(c_0_108,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),hAPP(c_Set_Ovimage(X2,X5,X1),X4))) ),
cls_vimageE_0 ).
cnf(c_0_109,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0 ).
cnf(c_0_110,plain,
hAPP(c_Set_Oimage(X1,X2,X3),c_Not) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_111,axiom,
hAPP(c_Set_Oimage(c_COMBI(X1),X1,X1),X2) = X2,
cls_image__ident_0 ).
cnf(c_0_112,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),hAPP(c_Not,X1)) = hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_87]),c_0_101]),c_0_102]) ).
cnf(c_0_113,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = hAPP(c_Not,X1)
| c_Orderings_Obot__class_Obot(tc_bool) = X1 ),
inference(spm,[status(thm)],[c_0_95,c_0_103]) ).
cnf(c_0_114,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),c_Orderings_Obot__class_Obot(tc_bool)) = X1,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_115,plain,
( hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_bool),c_Not),c_Not) = X1
| hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_bool),c_Not),X1) != c_Not ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_72]),c_0_78]) ).
cnf(c_0_116,plain,
hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[c_0_107,c_0_53]) ).
cnf(c_0_117,plain,
( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X5),X3),hAPP(hAPP(c_COMBB(X1,tc_bool,X5),X4),X2))) ),
inference(rw,[status(thm)],[c_0_108,c_0_48]) ).
cnf(c_0_118,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
cls_UNIV__I_0 ).
cnf(c_0_119,plain,
hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(spm,[status(thm)],[c_0_98,c_0_109]) ).
cnf(c_0_120,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Not,
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_121,plain,
( X1 = hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool))
| c_Orderings_Obot__class_Obot(tc_bool) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
cnf(c_0_122,plain,
( c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)) = hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_bool),c_Not),c_Not)
| c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)) != c_Not ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,plain,
hBOOL(hAPP(hAPP(c_in(tc_bool),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),c_Not)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_116]),c_0_118])]) ).
cnf(c_0_124,plain,
( hAPP(c_Set_Oimage(X1,X2,X3),c_COMBI(X4)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ hBOOL(X5) ),
inference(spm,[status(thm)],[c_0_98,c_0_77]) ).
cnf(c_0_125,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(spm,[status(thm)],[c_0_119,c_0_111]) ).
cnf(c_0_126,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_bool)
| hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) != c_Not ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_127,plain,
( c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)) = hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_bool),c_Not),c_Not)
| c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)) = c_Orderings_Obot__class_Obot(tc_bool)
| hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) != c_Not ),
inference(spm,[status(thm)],[c_0_122,c_0_121]) ).
cnf(c_0_128,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__left_0 ).
cnf(c_0_129,axiom,
( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_130,plain,
hBOOL(hAPP(hAPP(c_in(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)),c_Not)),
inference(spm,[status(thm)],[c_0_123,c_0_70]) ).
cnf(c_0_131,plain,
( c_COMBI(X1) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_124,c_0_111]) ).
cnf(c_0_132,plain,
( c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_bool)
| hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) != c_Not ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_133,plain,
( c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)) = hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_bool),c_Not),c_Not)
| c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)) = c_Orderings_Obot__class_Obot(tc_bool)
| c_Orderings_Obot__class_Obot(tc_bool) = c_Not ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_121])]) ).
cnf(c_0_134,axiom,
( hBOOL(c_Predicate_ORangeP(X1,X2,X3,X4))
| ~ hBOOL(hAPP(hAPP(X1,X5),X2)) ),
cls_RangeP_Ointros_0 ).
cnf(c_0_135,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),X1) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_128,c_0_105]) ).
cnf(c_0_136,plain,
( hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)) != c_Not
| c_Orderings_Obot__class_Obot(tc_bool) != c_Not ),
inference(spm,[status(thm)],[c_0_120,c_0_126]) ).
cnf(c_0_137,plain,
hAPP(hAPP(c_Set_Oinsert(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)),c_Not) = c_Not,
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_138,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_bool),c_Not),c_Not)
| ~ hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_131,c_0_78]) ).
cnf(c_0_139,plain,
( c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)) = hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_bool),c_Not),c_Not)
| c_Orderings_Obot__class_Obot(tc_bool) = c_Not ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_121]) ).
cnf(c_0_140,plain,
( hBOOL(c_Predicate_ORangeP(c_Not,X1,X2,X3))
| ~ hBOOL(hAPP(X4,X1)) ),
inference(spm,[status(thm)],[c_0_134,c_0_83]) ).
cnf(c_0_141,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool))),X1) = hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_102]),c_0_102]) ).
cnf(c_0_142,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = hAPP(c_Not,X1)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_83]) ).
cnf(c_0_143,plain,
( hBOOL(c_Not)
| hAPP(c_Not,c_Not) != c_Not ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_103])]) ).
cnf(c_0_144,plain,
( hAPP(c_Set_Oinsert(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)) = c_Orderings_Obot__class_Obot(tc_bool)
| hAPP(hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)),c_Not) = c_Not ),
inference(spm,[status(thm)],[c_0_137,c_0_121]) ).
cnf(c_0_145,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = c_Not
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_146,plain,
hBOOL(c_Predicate_ORangeP(c_Not,X1,X2,X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_80])]) ).
cnf(c_0_147,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = hAPP(c_Not,c_Not)
| hAPP(c_Not,c_Not) != c_Not ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_148,plain,
hAPP(hAPP(c_Set_Oinsert(tc_bool),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),c_Not) = c_Not,
inference(spm,[status(thm)],[c_0_129,c_0_123]) ).
cnf(c_0_149,plain,
( hAPP(hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)),c_Not) = c_Not
| hAPP(c_Orderings_Obot__class_Obot(tc_bool),c_Not) = c_Not ),
inference(spm,[status(thm)],[c_0_137,c_0_144]) ).
cnf(c_0_150,plain,
c_Orderings_Obot__class_Obot(tc_bool) = c_Not,
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,plain,
hAPP(c_Not,c_Not) != c_Not,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_147]),c_0_83])]) ).
cnf(c_0_152,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X2))
| ~ c_Orderings_Oorder(X3,X1,X4) ),
cls_order_Oless__le_1 ).
cnf(c_0_153,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)),
cls_insert__code_1 ).
cnf(c_0_154,plain,
( hAPP(hAPP(hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)),c_Orderings_Obot__class_Obot(tc_bool)),c_Not) = c_Not
| c_Set_Oinsert(tc_bool) = c_Orderings_Obot__class_Obot(tc_bool) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_121]),c_0_88]) ).
cnf(c_0_155,plain,
hAPP(hAPP(c_Not,c_Not),c_Not) = c_Not,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_150]),c_0_151]) ).
cnf(c_0_156,plain,
~ c_Orderings_Oorder(X1,hAPP(c_Set_Oinsert(X2),X3),X4),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_157,plain,
c_Set_Oinsert(tc_bool) = c_Not,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_150]),c_0_150]),c_0_150]),c_0_155]),c_0_151]) ).
cnf(c_0_158,plain,
~ c_Orderings_Oorder(X1,hAPP(c_Not,X2),X3),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_159,plain,
~ c_Orderings_Oorder(X1,X2,X3),
inference(spm,[status(thm)],[c_0_158,c_0_83]) ).
cnf(c_0_160,axiom,
( c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),X1)
| ~ class_Orderings_Oorder(X1) ),
cls_dual__order_0 ).
cnf(c_0_161,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder ).
cnf(c_0_162,plain,
~ class_Orderings_Oorder(X1),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_163,plain,
$false,
inference(sr,[status(thm)],[c_0_161,c_0_162]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT016-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 11:27:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.61 Running first-order model finding
% 0.21/0.61 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/tmp/tmp.OUISvdQ8LO/E---3.1_16765.p
% 11.99/2.22 # Version: 3.1pre001
% 11.99/2.22 # Preprocessing class: FMLMSMSMSSSNFFN.
% 11.99/2.22 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.99/2.22 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.99/2.22 # Starting new_bool_3 with 300s (1) cores
% 11.99/2.22 # Starting new_bool_1 with 300s (1) cores
% 11.99/2.22 # Starting sh5l with 300s (1) cores
% 11.99/2.22 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 16842 completed with status 0
% 11.99/2.22 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 11.99/2.22 # Preprocessing class: FMLMSMSMSSSNFFN.
% 11.99/2.22 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.99/2.22 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.99/2.22 # No SInE strategy applied
% 11.99/2.22 # Search class: FGHSM-SSLM32-DFFFFFNN
% 11.99/2.22 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.99/2.22 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 11.99/2.22 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 11.99/2.22 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 11.99/2.22 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 11.99/2.22 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 11.99/2.22 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 16849 completed with status 0
% 11.99/2.22 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 11.99/2.22 # Preprocessing class: FMLMSMSMSSSNFFN.
% 11.99/2.22 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.99/2.22 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.99/2.22 # No SInE strategy applied
% 11.99/2.22 # Search class: FGHSM-SSLM32-DFFFFFNN
% 11.99/2.22 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.99/2.22 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 11.99/2.22 # Preprocessing time : 0.014 s
% 11.99/2.22 # Presaturation interreduction done
% 11.99/2.22
% 11.99/2.22 # Proof found!
% 11.99/2.22 # SZS status Unsatisfiable
% 11.99/2.22 # SZS output start CNFRefutation
% See solution above
% 11.99/2.22 # Parsed axioms : 1015
% 11.99/2.22 # Removed by relevancy pruning/SinE : 0
% 11.99/2.22 # Initial clauses : 1015
% 11.99/2.22 # Removed in clause preprocessing : 5
% 11.99/2.22 # Initial clauses in saturation : 1010
% 11.99/2.22 # Processed clauses : 3641
% 11.99/2.22 # ...of these trivial : 158
% 11.99/2.22 # ...subsumed : 1156
% 11.99/2.22 # ...remaining for further processing : 2327
% 11.99/2.22 # Other redundant clauses eliminated : 244
% 11.99/2.22 # Clauses deleted for lack of memory : 0
% 11.99/2.22 # Backward-subsumed : 177
% 11.99/2.22 # Backward-rewritten : 382
% 11.99/2.22 # Generated clauses : 57184
% 11.99/2.22 # ...of the previous two non-redundant : 54684
% 11.99/2.22 # ...aggressively subsumed : 0
% 11.99/2.22 # Contextual simplify-reflections : 6
% 11.99/2.22 # Paramodulations : 56921
% 11.99/2.22 # Factorizations : 3
% 11.99/2.22 # NegExts : 0
% 11.99/2.22 # Equation resolutions : 258
% 11.99/2.22 # Total rewrite steps : 11684
% 11.99/2.22 # Propositional unsat checks : 0
% 11.99/2.22 # Propositional check models : 0
% 11.99/2.22 # Propositional check unsatisfiable : 0
% 11.99/2.22 # Propositional clauses : 0
% 11.99/2.22 # Propositional clauses after purity: 0
% 11.99/2.22 # Propositional unsat core size : 0
% 11.99/2.22 # Propositional preprocessing time : 0.000
% 11.99/2.22 # Propositional encoding time : 0.000
% 11.99/2.22 # Propositional solver time : 0.000
% 11.99/2.22 # Success case prop preproc time : 0.000
% 11.99/2.22 # Success case prop encoding time : 0.000
% 11.99/2.22 # Success case prop solver time : 0.000
% 11.99/2.22 # Current number of processed clauses : 959
% 11.99/2.22 # Positive orientable unit clauses : 307
% 11.99/2.22 # Positive unorientable unit clauses: 24
% 11.99/2.22 # Negative unit clauses : 92
% 11.99/2.22 # Non-unit-clauses : 536
% 11.99/2.22 # Current number of unprocessed clauses: 51967
% 11.99/2.22 # ...number of literals in the above : 151448
% 11.99/2.22 # Current number of archived formulas : 0
% 11.99/2.22 # Current number of archived clauses : 1369
% 11.99/2.22 # Clause-clause subsumption calls (NU) : 181574
% 11.99/2.22 # Rec. Clause-clause subsumption calls : 110500
% 11.99/2.22 # Non-unit clause-clause subsumptions : 502
% 11.99/2.22 # Unit Clause-clause subsumption calls : 13475
% 11.99/2.22 # Rewrite failures with RHS unbound : 0
% 11.99/2.22 # BW rewrite match attempts : 3146
% 11.99/2.22 # BW rewrite match successes : 401
% 11.99/2.22 # Condensation attempts : 0
% 11.99/2.22 # Condensation successes : 0
% 11.99/2.22 # Termbank termtop insertions : 3402773
% 11.99/2.22
% 11.99/2.22 # -------------------------------------------------
% 11.99/2.22 # User time : 1.332 s
% 11.99/2.22 # System time : 0.055 s
% 11.99/2.22 # Total time : 1.387 s
% 11.99/2.22 # Maximum resident set size: 4084 pages
% 11.99/2.22
% 11.99/2.22 # -------------------------------------------------
% 11.99/2.22 # User time : 7.009 s
% 11.99/2.22 # System time : 0.274 s
% 11.99/2.22 # Total time : 7.284 s
% 11.99/2.22 # Maximum resident set size: 2780 pages
% 11.99/2.22 % E---3.1 exiting
%------------------------------------------------------------------------------