TSTP Solution File: SCT030-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SCT030-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 19:16:26 EDT 2023
% Result : Unsatisfiable 17.29s 2.73s
% Output : CNFRefutation 17.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 51
% Syntax : Number of clauses : 220 ( 121 unt; 32 nHn; 90 RR)
% Number of literals : 343 ( 140 equ; 125 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-5 aty)
% Number of variables : 439 ( 121 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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Collect__neg__eq_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Collect__def_0) ).
cnf(cls_vimage__Collect__eq_0,axiom,
hAPP(c_Set_Ovimage(X1,X2,X3),c_Collect(X4,X3)) = c_Collect(c_COMBB(X4,X1,X3,tc_bool,X2),X2),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_COMBB__def_0) ).
cnf(cls_vimage__Compl_0,axiom,
hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X4)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),hAPP(c_Set_Ovimage(X1,X2,X3),X4)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_vimage__Compl_0) ).
cnf(cls_vimage__const_1,axiom,
( hAPP(c_Set_Ovimage(c_COMBK(X1,X2,X3),X3,X2),X4) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X2),X1),X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_double__complement_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_CollectI_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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_ComplD_0) ).
cnf(cls_DiffE_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ominus__class_Ominus(X4,tc_fun(X1,tc_bool)),X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_DiffE_1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_conjecture_0) ).
cnf(cls_Diff__Compl_0,axiom,
hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(X2,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3)) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Diff__Compl_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = hAPP(c_Set_Oinsert(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_singleton__conv2_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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_UNIV__I_0) ).
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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Compl__empty__eq_0) ).
cnf(cls_Int__commute_0,axiom,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,tc_fun(X2,tc_bool)),X1),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Int__commute_0) ).
cnf(cls_Un__insert__left_0,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Set_Oinsert(X1,X2),X3),tc_fun(X2,tc_bool)),X4) = hAPP(c_Set_Oinsert(X1,X2),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_fun(X2,tc_bool)),X4)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Un__insert__left_0) ).
cnf(cls_Un__empty__left_0,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2) = X2,
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Un__empty__left_0) ).
cnf(cls_CHAINED_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_CHAINED_0) ).
cnf(cls_Int__absorb1_0,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3) = X3
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Int__absorb1_0) ).
cnf(cls_inf__bot__right_0,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_inf__bot__right_0) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(X1,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Un__upper1_0) ).
cnf(cls_insert__absorb_0,axiom,
( hAPP(c_Set_Oinsert(X1,X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_insert__absorb_0) ).
cnf(cls_bot__least_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_bot__least_0) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',clsarity_bool__Orderings_Obot) ).
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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_le__funD_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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_empty__subsetI_0) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',clsarity_bool__HOL_Oord) ).
cnf(cls_order__antisym__conv_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_order__antisym__conv_0) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',clsarity_bool__Orderings_Oorder) ).
cnf(cls_le__infE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1),X4),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_le__infE_0) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(cls_CollectD_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_CollectD_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_bot1E_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))
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X4,tc_fun(X1,tc_bool)),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_disjoint__iff__not__equal_0) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_top1I_0) ).
cnf(cls_inf__top__left_0,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X1),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_inf__top__left_0) ).
cnf(cls_Int__UNIV__left_0,axiom,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2) = X2,
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Int__UNIV__left_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_equalityE_0) ).
cnf(cls_sup__top__left_0,axiom,
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X1),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_sup__top__left_0) ).
cnf(cls_sup__eq__bot__eq2_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_sup__eq__bot__eq2_0) ).
cnf(cls_inf__top__right_0,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),c_Orderings_Otop__class_Otop(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_inf__top__right_0) ).
cnf(cls_inf__commute_0,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1),X2)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_inf__commute_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_insert__code_1) ).
cnf(cls_Un__insert__right_0,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),hAPP(c_Set_Oinsert(X3,X2),X4)) = hAPP(c_Set_Oinsert(X3,X2),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),X4)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_Un__insert__right_0) ).
cnf(cls_insert__commute_0,axiom,
hAPP(c_Set_Oinsert(X1,X2),hAPP(c_Set_Oinsert(X3,X2),X4)) = hAPP(c_Set_Oinsert(X3,X2),hAPP(c_Set_Oinsert(X1,X2),X4)),
file('/export/starexec/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p',cls_insert__commute_0) ).
cnf(c_0_51,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_52,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(c_0_53,axiom,
hAPP(c_Set_Ovimage(X1,X2,X3),c_Collect(X4,X3)) = c_Collect(c_COMBB(X4,X1,X3,tc_bool,X2),X2),
cls_vimage__Collect__eq_0 ).
cnf(c_0_54,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_55,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
cls_COMBB__def_0 ).
cnf(c_0_56,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_51,c_0_52]),c_0_52]) ).
cnf(c_0_57,axiom,
hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X4)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),hAPP(c_Set_Ovimage(X1,X2,X3),X4)),
cls_vimage__Compl_0 ).
cnf(c_0_58,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),X4) = c_COMBB(X4,X1,X3,tc_bool,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_52]),c_0_52]) ).
cnf(c_0_59,axiom,
( hAPP(c_Set_Ovimage(c_COMBK(X1,X2,X3),X3,X2),X4) = 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_60,axiom,
hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
cls_COMBC__def_0 ).
cnf(c_0_61,plain,
hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) = X2,
inference(rw,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_62,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_55,c_0_56]) ).
cnf(c_0_63,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_64,plain,
c_COMBB(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3,X1,tc_bool,X4) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X4,tc_bool)),c_COMBB(X2,X3,X1,tc_bool,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_58]) ).
cnf(c_0_65,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(hAPP(c_in(X3),X2),X1)) ),
inference(rw,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_66,plain,
hAPP(hAPP(c_in(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,plain,
hAPP(c_Not,hAPP(c_Not,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_62]) ).
cnf(c_0_68,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0 ).
cnf(c_0_69,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_CollectI_0 ).
cnf(c_0_70,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_64,c_0_56]),c_0_63]) ).
cnf(c_0_71,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_65,c_0_66]) ).
cnf(c_0_72,plain,
hAPP(c_Not,hAPP(c_Not,X1)) = X1,
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,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))) ),
cls_ComplD_0 ).
cnf(c_0_74,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(rw,[status(thm)],[c_0_69,c_0_52]) ).
cnf(c_0_75,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ominus__class_Ominus(X4,tc_fun(X1,tc_bool)),X3))) ),
cls_DiffE_1 ).
cnf(c_0_76,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_70,c_0_71]),c_0_62]),c_0_72]) ).
cnf(c_0_77,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_73,c_0_74]) ).
cnf(c_0_78,plain,
( ~ hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(X2,tc_bool)),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X3)) ),
inference(spm,[status(thm)],[c_0_75,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
cls_conjecture_0 ).
cnf(c_0_80,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2) = X3
| hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_76]) ).
cnf(c_0_81,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(spm,[status(thm)],[c_0_77,c_0_63]) ).
cnf(c_0_82,plain,
( ~ hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(X2,tc_bool)),X3),X4))
| ~ hBOOL(hAPP(X3,X4)) ),
inference(rw,[status(thm)],[c_0_78,c_0_66]) ).
cnf(c_0_83,axiom,
hAPP(c_HOL_Ominus__class_Ominus(X1,tc_fun(X2,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3)) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3),
cls_Diff__Compl_0 ).
cnf(c_0_84,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = hAPP(c_Set_Oinsert(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
cls_singleton__conv2_0 ).
cnf(c_0_85,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(c_Not,hAPP(X3,X2))) ),
inference(rw,[status(thm)],[c_0_77,c_0_62]) ).
cnf(c_0_86,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_87,negated_conjecture,
~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)),
inference(spm,[status(thm)],[c_0_79,c_0_74]) ).
cnf(c_0_88,plain,
( X1 = X2
| hBOOL(X1)
| hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_80]) ).
cnf(c_0_89,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_90,plain,
( ~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(spm,[status(thm)],[c_0_81,c_0_74]) ).
cnf(c_0_91,plain,
( ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3),X4))
| ~ hBOOL(hAPP(c_Not,hAPP(X3,X4))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_62]) ).
cnf(c_0_92,axiom,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,tc_fun(X2,tc_bool)),X1),
cls_Int__commute_0 ).
cnf(c_0_93,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Set_Oinsert(X1,X2),X3),tc_fun(X2,tc_bool)),X4) = hAPP(c_Set_Oinsert(X1,X2),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_fun(X2,tc_bool)),X4)),
cls_Un__insert__left_0 ).
cnf(c_0_94,plain,
hAPP(c_fequal(X1),X2) = hAPP(c_Set_Oinsert(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
inference(rw,[status(thm)],[c_0_84,c_0_52]) ).
cnf(c_0_95,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2) = X2,
cls_Un__empty__left_0 ).
cnf(c_0_96,plain,
~ hBOOL(hAPP(c_Not,hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2))),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_97,negated_conjecture,
( X1 = hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_98,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2) = hAPP(c_Not,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(spm,[status(thm)],[c_0_62,c_0_89]) ).
cnf(c_0_99,plain,
( ~ hBOOL(hAPP(c_Not,hAPP(X1,X2)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[c_0_90,c_0_62]) ).
cnf(c_0_100,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
cls_CHAINED_0 ).
cnf(c_0_101,plain,
( ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3),X4))
| ~ hBOOL(hAPP(c_Not,hAPP(X1,X4))) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_102,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(X2,tc_bool)),X3) = X3
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
cls_Int__absorb1_0 ).
cnf(c_0_103,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__right_0 ).
cnf(c_0_104,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice ).
cnf(c_0_105,axiom,
c_lessequals(X1,hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool)),
cls_Un__upper1_0 ).
cnf(c_0_106,plain,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_fequal(X1),X2),tc_fun(X1,tc_bool)),X3) = hAPP(c_Set_Oinsert(X2,X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_107,axiom,
( hAPP(c_Set_Oinsert(X1,X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_108,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0 ).
cnf(c_0_109,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot ).
cnf(c_0_110,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
cls_le__funD_0 ).
cnf(c_0_111,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_112,negated_conjecture,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_72]) ).
cnf(c_0_113,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord ).
cnf(c_0_114,plain,
( ~ hBOOL(hAPP(c_Not,X1))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_68]) ).
cnf(c_0_115,plain,
~ hBOOL(hAPP(c_Not,hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____))),
inference(spm,[status(thm)],[c_0_85,c_0_100]) ).
cnf(c_0_116,plain,
( ~ hBOOL(hAPP(c_Not,hAPP(X1,X2)))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_117,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),c_Orderings_Obot__class_Obot(tc_bool)) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_118,plain,
c_lessequals(hAPP(c_fequal(X1),X2),hAPP(c_Set_Oinsert(X2,X1),X3),tc_fun(X1,tc_bool)),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_119,plain,
( hAPP(c_Set_Oinsert(X1,X2),X3) = X3
| ~ hBOOL(hAPP(X3,X1)) ),
inference(spm,[status(thm)],[c_0_107,c_0_74]) ).
cnf(c_0_120,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_order__antisym__conv_0 ).
cnf(c_0_121,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_bool),X1,tc_bool),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_122,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder ).
cnf(c_0_123,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1),X4),X1) ),
cls_le__infE_0 ).
cnf(c_0_124,plain,
c_lessequals(hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____),hAPP(X1,X2),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_113])]) ).
cnf(c_0_125,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice ).
cnf(c_0_126,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
cls_CollectD_0 ).
cnf(c_0_127,negated_conjecture,
( hAPP(c_Not,X1) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_97]) ).
cnf(c_0_128,negated_conjecture,
hAPP(c_Not,hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____)) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____),
inference(spm,[status(thm)],[c_0_115,c_0_97]) ).
cnf(c_0_129,plain,
( ~ hBOOL(hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)))
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_bool)))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,tc_bool),tc_fun(X3,tc_bool)) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_130,plain,
( c_lessequals(hAPP(c_fequal(X1),X2),X3,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_131,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_bool)
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_bool),tc_bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122])]) ).
cnf(c_0_132,plain,
c_lessequals(hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____),X1,tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]) ).
cnf(c_0_133,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
inference(rw,[status(thm)],[c_0_126,c_0_52]) ).
cnf(c_0_134,negated_conjecture,
( hAPP(c_Not,X1) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)
| X1 = hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____) ),
inference(spm,[status(thm)],[c_0_127,c_0_97]) ).
cnf(c_0_135,negated_conjecture,
hAPP(c_Not,hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____),
inference(spm,[status(thm)],[c_0_72,c_0_128]) ).
cnf(c_0_136,plain,
( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),c_Orderings_Obot__class_Obot(tc_bool)))
| ~ hBOOL(hAPP(c_Not,c_Orderings_Obot__class_Obot(tc_bool)))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,tc_bool),X2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_137,plain,
c_Orderings_Obot__class_Obot(tc_bool) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_138,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____)),
inference(spm,[status(thm)],[c_0_133,c_0_100]) ).
cnf(c_0_139,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0 ).
cnf(c_0_140,negated_conjecture,
( X1 = hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_134]),c_0_135]) ).
cnf(c_0_141,plain,
( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,tc_bool),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_135]),c_0_138])]) ).
cnf(c_0_142,negated_conjecture,
hAPP(hAPP(c_fequal(X1),X2),X2) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_87]) ).
cnf(c_0_143,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_144,negated_conjecture,
~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_138])]) ).
cnf(c_0_145,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
| hAPP(c_Lattices_Olower__semilattice__class_Oinf(X4,tc_fun(X1,tc_bool)),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_disjoint__iff__not__equal_0 ).
cnf(c_0_146,plain,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))
| hBOOL(X2)
| ~ hBOOL(hAPP(X2,X3)) ),
inference(spm,[status(thm)],[c_0_143,c_0_88]) ).
cnf(c_0_147,negated_conjecture,
( hBOOL(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool))
| hBOOL(X2)
| ~ hBOOL(hAPP(X2,hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____))) ),
inference(spm,[status(thm)],[c_0_144,c_0_88]) ).
cnf(c_0_148,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))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X3))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(spm,[status(thm)],[c_0_145,c_0_74]) ).
cnf(c_0_149,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0 ).
cnf(c_0_150,negated_conjecture,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))
| hBOOL(c_Not) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_135]),c_0_138])]) ).
cnf(c_0_151,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X1),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__left_0 ).
cnf(c_0_152,negated_conjecture,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) = X1
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_140]) ).
cnf(c_0_153,negated_conjecture,
( hBOOL(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool))
| hBOOL(c_Not) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_135]),c_0_138])]) ).
cnf(c_0_154,plain,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_bool)),c_Arrow__Order__Mirabelle_OProf) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_bool))
| ~ hBOOL(hAPP(X1,v_P____)) ),
inference(spm,[status(thm)],[c_0_148,c_0_100]) ).
cnf(c_0_155,axiom,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),X2) = X2,
cls_Int__UNIV__left_0 ).
cnf(c_0_156,plain,
hBOOL(hAPP(c_Not,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2))),
inference(rw,[status(thm)],[c_0_149,c_0_98]) ).
cnf(c_0_157,negated_conjecture,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____)
| hBOOL(c_Not) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_140]),c_0_87]) ).
cnf(c_0_158,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_bool),tc_bool),X1) = X1,
inference(spm,[status(thm)],[c_0_151,c_0_104]) ).
cnf(c_0_159,negated_conjecture,
( c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____)
| hBOOL(c_Not) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_160,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_bool)) != c_Arrow__Order__Mirabelle_OProf,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_149])]) ).
cnf(c_0_161,negated_conjecture,
( hBOOL(hAPP(c_Not,hAPP(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____),X1)))
| hBOOL(c_Not) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_162,negated_conjecture,
( hAPP(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____),X1) = X1
| hBOOL(c_Not) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_163,plain,
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))
| hBOOL(c_Arrow__Order__Mirabelle_OProf) ),
inference(spm,[status(thm)],[c_0_146,c_0_138]) ).
cnf(c_0_164,negated_conjecture,
( hBOOL(c_Not)
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) != c_Arrow__Order__Mirabelle_OProf ),
inference(spm,[status(thm)],[c_0_160,c_0_157]) ).
cnf(c_0_165,negated_conjecture,
( hBOOL(hAPP(c_Not,X1))
| hBOOL(c_Not) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_166,negated_conjecture,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____)
| hBOOL(c_Arrow__Order__Mirabelle_OProf) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_140]),c_0_87]) ).
cnf(c_0_167,negated_conjecture,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) = c_Not
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) != c_Arrow__Order__Mirabelle_OProf ),
inference(spm,[status(thm)],[c_0_152,c_0_164]) ).
cnf(c_0_168,negated_conjecture,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) = X1
| X1 = X2
| hBOOL(X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_88]) ).
cnf(c_0_169,negated_conjecture,
hBOOL(c_Not),
inference(spm,[status(thm)],[c_0_96,c_0_165]) ).
cnf(c_0_170,negated_conjecture,
( hBOOL(c_Arrow__Order__Mirabelle_OProf)
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) != c_Arrow__Order__Mirabelle_OProf ),
inference(spm,[status(thm)],[c_0_160,c_0_166]) ).
cnf(c_0_171,negated_conjecture,
( c_Not = c_Arrow__Order__Mirabelle_OProf
| c_Arrow__Order__Mirabelle_OProf = X1
| hBOOL(X1) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168])]) ).
cnf(c_0_172,negated_conjecture,
( hBOOL(hAPP(c_Not,hAPP(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____),X1)))
| hBOOL(c_Arrow__Order__Mirabelle_OProf) ),
inference(spm,[status(thm)],[c_0_156,c_0_166]) ).
cnf(c_0_173,negated_conjecture,
hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) = c_Not,
inference(spm,[status(thm)],[c_0_152,c_0_169]) ).
cnf(c_0_174,negated_conjecture,
( hAPP(c_Not,c_Arrow__Order__Mirabelle_OProf) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)
| hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) != c_Arrow__Order__Mirabelle_OProf ),
inference(spm,[status(thm)],[c_0_127,c_0_170]) ).
cnf(c_0_175,negated_conjecture,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____) = c_Arrow__Order__Mirabelle_OProf
| c_Not = c_Arrow__Order__Mirabelle_OProf ),
inference(spm,[status(thm)],[c_0_87,c_0_171]) ).
cnf(c_0_176,negated_conjecture,
( hBOOL(c_Arrow__Order__Mirabelle_OProf)
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_72]) ).
cnf(c_0_177,negated_conjecture,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) != c_Arrow__Order__Mirabelle_OProf
| ~ hBOOL(hAPP(X1,c_Arrow__Order__Mirabelle_OProf))
| ~ c_lessequals(X1,c_Not,tc_fun(X2,tc_bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_174]),c_0_135]),c_0_138])]) ).
cnf(c_0_178,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0 ).
cnf(c_0_179,axiom,
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X1),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__left_0 ).
cnf(c_0_180,negated_conjecture,
( c_Not = c_Arrow__Order__Mirabelle_OProf
| ~ hBOOL(c_Arrow__Order__Mirabelle_OProf) ),
inference(spm,[status(thm)],[c_0_87,c_0_175]) ).
cnf(c_0_181,negated_conjecture,
hBOOL(c_Arrow__Order__Mirabelle_OProf),
inference(ef,[status(thm)],[c_0_176]) ).
cnf(c_0_182,negated_conjecture,
( hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) != c_Arrow__Order__Mirabelle_OProf
| ~ hBOOL(hAPP(c_Not,c_Arrow__Order__Mirabelle_OProf)) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_183,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1),X3) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq2_0 ).
cnf(c_0_184,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_179,c_0_104]) ).
cnf(c_0_185,negated_conjecture,
c_Not = c_Arrow__Order__Mirabelle_OProf,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181])]) ).
cnf(c_0_186,negated_conjecture,
( c_Not != c_Arrow__Order__Mirabelle_OProf
| ~ hBOOL(hAPP(c_Not,c_Arrow__Order__Mirabelle_OProf)) ),
inference(rw,[status(thm)],[c_0_182,c_0_173]) ).
cnf(c_0_187,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_bool)
| c_Orderings_Otop__class_Otop(tc_bool) != c_Orderings_Obot__class_Obot(tc_bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_104])]) ).
cnf(c_0_188,negated_conjecture,
( ~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,X1))
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_185]) ).
cnf(c_0_189,negated_conjecture,
hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____) = c_Arrow__Order__Mirabelle_OProf,
inference(rw,[status(thm)],[c_0_173,c_0_185]) ).
cnf(c_0_190,negated_conjecture,
~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_Arrow__Order__Mirabelle_OProf)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_185]),c_0_185])]) ).
cnf(c_0_191,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_bool)
| hBOOL(c_Orderings_Otop__class_Otop(tc_bool))
| hBOOL(c_Orderings_Obot__class_Obot(tc_bool)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_88])]) ).
cnf(c_0_192,negated_conjecture,
~ hBOOL(v_P____),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_181])]) ).
cnf(c_0_193,negated_conjecture,
( hAPP(c_Arrow__Order__Mirabelle_OProf,c_Arrow__Order__Mirabelle_OProf) = X1
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_88]) ).
cnf(c_0_194,plain,
( hBOOL(c_Orderings_Otop__class_Otop(tc_bool))
| hBOOL(c_Orderings_Obot__class_Obot(tc_bool)) ),
inference(spm,[status(thm)],[c_0_156,c_0_191]) ).
cnf(c_0_195,negated_conjecture,
hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____) = hAPP(c_Arrow__Order__Mirabelle_OProf,c_Arrow__Order__Mirabelle_OProf),
inference(spm,[status(thm)],[c_0_190,c_0_97]) ).
cnf(c_0_196,negated_conjecture,
hAPP(c_Arrow__Order__Mirabelle_OProf,c_Arrow__Order__Mirabelle_OProf) = v_P____,
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_197,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),c_Orderings_Otop__class_Otop(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__right_0 ).
cnf(c_0_198,negated_conjecture,
( c_Orderings_Otop__class_Otop(tc_bool) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____)
| hBOOL(c_Orderings_Obot__class_Obot(tc_bool)) ),
inference(spm,[status(thm)],[c_0_152,c_0_194]) ).
cnf(c_0_199,plain,
hAPP(c_Arrow__Order__Mirabelle_OProf,hAPP(c_Arrow__Order__Mirabelle_OProf,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_185]),c_0_185]) ).
cnf(c_0_200,negated_conjecture,
hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____) = v_P____,
inference(rw,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_201,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),c_Orderings_Otop__class_Otop(tc_bool)) = X1,
inference(spm,[status(thm)],[c_0_197,c_0_104]) ).
cnf(c_0_202,negated_conjecture,
c_Orderings_Otop__class_Otop(tc_bool) = hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_137]),c_0_87]) ).
cnf(c_0_203,negated_conjecture,
( c_Arrow__Order__Mirabelle_OProf = X1
| X1 = X2
| hBOOL(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_173]),c_0_185]) ).
cnf(c_0_204,negated_conjecture,
v_Q____ = c_Arrow__Order__Mirabelle_OProf,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_173]),c_0_185]) ).
cnf(c_0_205,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X1),X3) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1),X2)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__commute_0 ).
cnf(c_0_206,axiom,
hBOOL(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1)),
cls_insert__code_1 ).
cnf(c_0_207,axiom,
hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),hAPP(c_Set_Oinsert(X3,X2),X4)) = hAPP(c_Set_Oinsert(X3,X2),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),X4)),
cls_Un__insert__right_0 ).
cnf(c_0_208,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____)) = X1,
inference(rw,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_209,negated_conjecture,
( c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool) = X2
| hBOOL(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_203]),c_0_204]),c_0_196]),c_0_173]),c_0_185]),c_0_181])]) ).
cnf(c_0_210,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),X2) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,tc_bool),X1),
inference(spm,[status(thm)],[c_0_205,c_0_125]) ).
cnf(c_0_211,plain,
hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),hAPP(c_Set_Oinsert(X3,X2),X4)),X3)),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_212,axiom,
hAPP(c_Set_Oinsert(X1,X2),hAPP(c_Set_Oinsert(X3,X2),X4)) = hAPP(c_Set_Oinsert(X3,X2),hAPP(c_Set_Oinsert(X1,X2),X4)),
cls_insert__commute_0 ).
cnf(c_0_213,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool),c_Arrow__Order__Mirabelle_OProf) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_173]),c_0_185]) ).
cnf(c_0_214,negated_conjecture,
c_Lattices_Olower__semilattice__class_Oinf(X1,tc_bool) = v_P____,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_209]),c_0_185]),c_0_98]),c_0_185]),c_0_112]),c_0_204]),c_0_196]),c_0_173]),c_0_185]),c_0_196]) ).
cnf(c_0_215,negated_conjecture,
~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____),tc_bool),X1)),
inference(spm,[status(thm)],[c_0_144,c_0_210]) ).
cnf(c_0_216,plain,
hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,tc_fun(X2,tc_bool)),hAPP(c_Set_Oinsert(X3,X2),hAPP(c_Set_Oinsert(X4,X2),X5))),X4)),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_217,plain,
hAPP(v_P____,c_Arrow__Order__Mirabelle_OProf) = X1,
inference(rw,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_218,negated_conjecture,
~ hBOOL(hAPP(v_P____,X1)),
inference(spm,[status(thm)],[c_0_215,c_0_214]) ).
cnf(c_0_219,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_217]),c_0_218]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16 % Problem : SCT030-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.17 % Command : run_E %s %d THM
% 0.16/0.38 % Computer : n007.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 2400
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon Oct 2 11:17:39 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.23/0.55 Running first-order theorem proving
% 0.23/0.55 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.XEw60El9Lk/E---3.1_29752.p
% 17.29/2.73 # Version: 3.1pre001
% 17.29/2.73 # Preprocessing class: FSLSSMSMSSSNFFN.
% 17.29/2.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.29/2.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 17.29/2.73 # Starting new_bool_3 with 300s (1) cores
% 17.29/2.73 # Starting new_bool_1 with 300s (1) cores
% 17.29/2.73 # Starting sh5l with 300s (1) cores
% 17.29/2.73 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 29830 completed with status 0
% 17.29/2.73 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 17.29/2.73 # Preprocessing class: FSLSSMSMSSSNFFN.
% 17.29/2.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.29/2.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 17.29/2.73 # No SInE strategy applied
% 17.29/2.73 # Search class: FGHSM-FSLM33-DFFFFFNN
% 17.29/2.73 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 17.29/2.73 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 17.29/2.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 17.29/2.73 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 17.29/2.73 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 17.29/2.73 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 17.29/2.73 # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 29841 completed with status 0
% 17.29/2.73 # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 17.29/2.73 # Preprocessing class: FSLSSMSMSSSNFFN.
% 17.29/2.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.29/2.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 17.29/2.73 # No SInE strategy applied
% 17.29/2.73 # Search class: FGHSM-FSLM33-DFFFFFNN
% 17.29/2.73 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 17.29/2.73 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 17.29/2.73 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 17.29/2.73 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 17.29/2.73 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 17.29/2.73 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 17.29/2.73 # Preprocessing time : 0.009 s
% 17.29/2.73 # Presaturation interreduction done
% 17.29/2.73
% 17.29/2.73 # Proof found!
% 17.29/2.73 # SZS status Unsatisfiable
% 17.29/2.73 # SZS output start CNFRefutation
% See solution above
% 17.29/2.74 # Parsed axioms : 701
% 17.29/2.74 # Removed by relevancy pruning/SinE : 0
% 17.29/2.74 # Initial clauses : 701
% 17.29/2.74 # Removed in clause preprocessing : 1
% 17.29/2.74 # Initial clauses in saturation : 700
% 17.29/2.74 # Processed clauses : 5119
% 17.29/2.74 # ...of these trivial : 510
% 17.29/2.74 # ...subsumed : 2514
% 17.29/2.74 # ...remaining for further processing : 2095
% 17.29/2.74 # Other redundant clauses eliminated : 796
% 17.29/2.74 # Clauses deleted for lack of memory : 0
% 17.29/2.74 # Backward-subsumed : 68
% 17.29/2.74 # Backward-rewritten : 1373
% 17.29/2.74 # Generated clauses : 129354
% 17.29/2.74 # ...of the previous two non-redundant : 117488
% 17.29/2.74 # ...aggressively subsumed : 0
% 17.29/2.74 # Contextual simplify-reflections : 4
% 17.29/2.74 # Paramodulations : 128530
% 17.29/2.74 # Factorizations : 26
% 17.29/2.74 # NegExts : 0
% 17.29/2.74 # Equation resolutions : 798
% 17.29/2.74 # Total rewrite steps : 50457
% 17.29/2.74 # Propositional unsat checks : 0
% 17.29/2.74 # Propositional check models : 0
% 17.29/2.74 # Propositional check unsatisfiable : 0
% 17.29/2.74 # Propositional clauses : 0
% 17.29/2.74 # Propositional clauses after purity: 0
% 17.29/2.74 # Propositional unsat core size : 0
% 17.29/2.74 # Propositional preprocessing time : 0.000
% 17.29/2.74 # Propositional encoding time : 0.000
% 17.29/2.74 # Propositional solver time : 0.000
% 17.29/2.74 # Success case prop preproc time : 0.000
% 17.29/2.74 # Success case prop encoding time : 0.000
% 17.29/2.74 # Success case prop solver time : 0.000
% 17.29/2.74 # Current number of processed clauses : 99
% 17.29/2.74 # Positive orientable unit clauses : 30
% 17.29/2.74 # Positive unorientable unit clauses: 1
% 17.29/2.74 # Negative unit clauses : 3
% 17.29/2.74 # Non-unit-clauses : 65
% 17.29/2.74 # Current number of unprocessed clauses: 109627
% 17.29/2.74 # ...number of literals in the above : 286766
% 17.29/2.74 # Current number of archived formulas : 0
% 17.29/2.74 # Current number of archived clauses : 1995
% 17.29/2.74 # Clause-clause subsumption calls (NU) : 78136
% 17.29/2.74 # Rec. Clause-clause subsumption calls : 60910
% 17.29/2.74 # Non-unit clause-clause subsumptions : 1921
% 17.29/2.74 # Unit Clause-clause subsumption calls : 5074
% 17.29/2.74 # Rewrite failures with RHS unbound : 148
% 17.29/2.74 # BW rewrite match attempts : 17701
% 17.29/2.74 # BW rewrite match successes : 1505
% 17.29/2.74 # Condensation attempts : 0
% 17.29/2.74 # Condensation successes : 0
% 17.29/2.74 # Termbank termtop insertions : 1899046
% 17.29/2.74
% 17.29/2.74 # -------------------------------------------------
% 17.29/2.74 # User time : 2.011 s
% 17.29/2.74 # System time : 0.079 s
% 17.29/2.74 # Total time : 2.090 s
% 17.29/2.74 # Maximum resident set size: 3092 pages
% 17.29/2.74
% 17.29/2.74 # -------------------------------------------------
% 17.29/2.74 # User time : 10.161 s
% 17.29/2.74 # System time : 0.382 s
% 17.29/2.74 # Total time : 10.543 s
% 17.29/2.74 # Maximum resident set size: 2260 pages
% 17.29/2.74 % E---3.1 exiting
% 17.29/2.74 % E---3.1 exiting
%------------------------------------------------------------------------------