TSTP Solution File: LCL747-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL747-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 : Thu Aug 31 06:59:23 EDT 2023
% Result : Unsatisfiable 181.00s 181.10s
% Output : CNFRefutation 181.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 171
% Syntax : Number of formulae : 310 ( 105 unt; 128 typ; 0 def)
% Number of atoms : 273 ( 166 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 184 ( 93 ~; 91 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 186 ( 110 >; 76 *; 0 +; 0 <<)
% Number of predicates : 60 ( 58 usr; 1 prp; 0-5 aty)
% Number of functors : 70 ( 70 usr; 18 con; 0-5 aty)
% Number of variables : 435 ( 176 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_23,type,
c_lessequals: $i > $i ).
tff(decl_24,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_25,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_26,type,
hBOOL: $i > $o ).
tff(decl_27,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(decl_28,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_29,type,
c_HOL_Otimes__class_Otimes: $i > $i ).
tff(decl_30,type,
c_Hilbert__Choice_OEps: ( $i * $i ) > $i ).
tff(decl_31,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_32,type,
tc_nat: $i ).
tff(decl_33,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_34,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_35,type,
c_HOL_Oord__class_Oless: ( $i * $i ) > $i ).
tff(decl_36,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(decl_37,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_39,type,
c_Suc: $i > $i ).
tff(decl_40,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_41,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_42,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_43,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_44,type,
c_HOL_Ominus__class_Ominus: $i > $i ).
tff(decl_45,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_46,type,
c_fequal: $i > $i ).
tff(decl_47,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_48,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_49,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_50,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_51,type,
c_Lambda_Osubst: $i ).
tff(decl_52,type,
tc_Lambda_OdB: $i ).
tff(decl_53,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_54,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
c_Type_Otypings: ( $i * $i * $i ) > $o ).
tff(decl_57,type,
tc_Type_Otype: $i ).
tff(decl_58,type,
c_Type_Oshift: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
c_Type_Otyping: ( $i * $i * $i ) > $o ).
tff(decl_60,type,
tc_bool: $i ).
tff(decl_61,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_62,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_63,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_64,type,
c_List_Olistsum: ( $i * $i ) > $i ).
tff(decl_65,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_66,type,
c_Lambda_Olift: $i ).
tff(decl_67,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_69,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_70,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_71,type,
c_List_Ofilter: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_74,type,
c_Lambda_Osubstn: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
c_Lambda_Oliftn: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
c_ListOrder_Ostep1: ( $i * $i * $i * $i ) > $o ).
tff(decl_77,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(decl_78,type,
c_Lambda_OdB_OdB__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
c_Lambda_Obeta: $i ).
tff(decl_80,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_81,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_82,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_83,type,
class_Orderings_Obot: $i > $o ).
tff(decl_84,type,
t_a: $i ).
tff(decl_85,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_86,type,
v_x: $i ).
tff(decl_87,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_88,type,
c_InductTermi_OIT: $i ).
tff(decl_89,type,
v_sko__InductTermi__XIT__Xcases__5: $i > $i ).
tff(decl_90,type,
v_sko__InductTermi__XIT__Xcases__3: $i > $i ).
tff(decl_91,type,
v_sko__InductTermi__XIT__Xcases__1: $i > $i ).
tff(decl_92,type,
c_List_Olistsp: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
c_Collect: ( $i * $i ) > $i ).
tff(decl_94,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_95,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_96,type,
c_The: ( $i * $i ) > $i ).
tff(decl_97,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_98,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_99,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_100,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_101,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_102,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_103,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_104,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_105,type,
c_Lambda_OdB_OVar: $i > $i ).
tff(decl_106,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_107,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_108,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_109,type,
c_Lambda_OdB_OApp: $i ).
tff(decl_110,type,
v_sko__InductTermi__XIT__Xcases__2: $i > $i ).
tff(decl_111,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_112,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_113,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_114,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_115,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_116,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_117,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_118,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_119,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_120,type,
c_COMBB: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
c_Lambda_OdB_OdB__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_122,type,
c_or: $i ).
tff(decl_123,type,
c_COMBS: ( $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
c_and: $i ).
tff(decl_125,type,
class_OrderedGroup_Osemigroup__add: $i > $o ).
tff(decl_126,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_127,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_128,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_129,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_130,type,
class_HOL_Oord: $i > $o ).
tff(decl_131,type,
c_Hilbert__Choice_OGreatestM: ( $i * $i * $i * $i ) > $i ).
tff(decl_132,type,
c_All: $i > $i ).
tff(decl_133,type,
c_implies: $i ).
tff(decl_134,type,
c_ListApplication_Osko__ListApplication__Xlem__1__3: $i > $i ).
tff(decl_135,type,
c_ListApplication_Osko__ListApplication__Xlem__1__1: $i > $i ).
tff(decl_136,type,
c_ListApplication_Osko__ListApplication__Xlem__1__2: $i > $i ).
tff(decl_137,type,
c_Type_Osko__Type__Xvar__app__typesE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_138,type,
c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3: $i > $i ).
tff(decl_139,type,
c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1: $i > $i ).
tff(decl_140,type,
c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2: $i > $i ).
tff(decl_141,type,
c_Type_Osko__Type__Xvar__app__types__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_142,type,
c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
v_P: $i ).
tff(decl_144,type,
c_Orderings_Oord_OLeast: ( $i * $i * $i ) > $i ).
tff(decl_145,type,
v_n: $i ).
tff(decl_146,type,
c_List_Osko__List__Xin__listsp__conv__set__1__1: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
c_List_Osko__List__Xfoldl__apply__inv__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_148,type,
v_rs: $i ).
tff(decl_149,type,
v_ia: $i ).
cnf(cls_natgb_Oadd__r0__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_0) ).
cnf(cls_nat__add__commute_0,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__commute_0) ).
cnf(cls_COMBS__def_0,axiom,
hAPP(hAPP(c_COMBS(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),hAPP(X5,X6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBS__def_0) ).
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/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
cnf(cls_less__infI2_0,axiom,
( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1),X4))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__infI2_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_ia)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).
cnf(cls_inf__commute_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__commute_0) ).
cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(cls_nat__less__le_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__le_0) ).
cnf(cls_le__iff__inf_1,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).
cnf(cls_inf__left__idem_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).
cnf(cls_Collect__conj__eq_0,axiom,
c_Collect(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2),X1,tc_bool,tc_bool),X3),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Collect(X2,X1),c_Collect(X3,X1),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__conj__eq_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_Int__absorb_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_le__iff__inf_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_0) ).
cnf(cls_less__Suc__eq_2,axiom,
hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__Suc__eq_2) ).
cnf(cls_Suc__eq__plus1_0,axiom,
c_Suc(X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1_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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',cls_exE__some_0) ).
cnf(cls_le__infE_1,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infE_1) ).
cnf(cls_Int__empty__left_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).
cnf(cls_add__is__0_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__0_0) ).
cnf(cls_inf__fun__eq_0,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(t_a,X1)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(X2,v_x),hAPP(X3,v_x),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__fun__eq_0) ).
cnf(cls_subst__lift_0,axiom,
hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),X2)),X3),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__lift_0) ).
cnf(cls_inf__absorb2_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
cnf(cls_Int__commute_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__commute_0) ).
cnf(cls_linorder__not__le_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
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/sandbox2/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
cnf(cls_nat__add__right__cancel_0,axiom,
( X1 = X3
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__right__cancel_0) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(cls_nat__le__linear_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I9_J_0) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_natgb_Oadd__r0__iff_1,axiom,
X1 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_1) ).
cnf(cls_le__add2_0,axiom,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add2_0) ).
cnf(cls_not__less__eq__eq_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X2))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq__eq_0) ).
cnf(cls_bot__least_0,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X2))
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).
cnf(cls_less__eq__Suc__le__raw_0,axiom,
c_HOL_Oord__class_Oless(v_n,tc_nat) = hAPP(c_lessequals(tc_nat),c_Suc(v_n)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eq__Suc__le__raw_0) ).
cnf(cls_less__not__refl_0,axiom,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
cnf(c_0_43,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
cls_natgb_Oadd__r0__iff_0 ).
cnf(c_0_44,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),
cls_nat__add__commute_0 ).
cnf(c_0_45,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) != X2 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_46,axiom,
hAPP(hAPP(c_COMBS(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),hAPP(X5,X6)),
cls_COMBS__def_0 ).
cnf(c_0_47,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X2,X3,X4),X5),X1) != hAPP(X5,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,axiom,
hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
cls_COMBC__def_0 ).
cnf(c_0_49,axiom,
( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1),X4))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4)) ),
cls_less__infI2_0 ).
cnf(c_0_50,negated_conjecture,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_ia)),
cls_conjecture_1 ).
cnf(c_0_51,axiom,
class_Lattices_Olower__semilattice(tc_nat),
clsarity_nat__Lattices_Olower__semilattice ).
cnf(c_0_52,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__commute_0 ).
cnf(c_0_53,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olower__semilattice ).
cnf(c_0_54,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice ).
cnf(c_0_55,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_COMBC(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X2,X3,X4),X5,X6,X7),X1),X8) != hAPP(X8,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
cls_nat__less__le_0 ).
cnf(c_0_57,negated_conjecture,
hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,v_n,tc_nat),tc_nat),v_ia)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_58,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
cls_le__iff__inf_1 ).
cnf(c_0_59,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_nat),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_60,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__idem_0 ).
cnf(c_0_61,axiom,
c_Collect(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2),X1,tc_bool,tc_bool),X3),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Collect(X2,X1),c_Collect(X3,X1),tc_fun(X1,tc_bool)),
cls_Collect__conj__eq_0 ).
cnf(c_0_62,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(c_0_63,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Int__absorb_0 ).
cnf(c_0_64,plain,
class_Lattices_Olower__semilattice(tc_fun(X1,tc_bool)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_COMBC(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X2,X3,X4),X5,X6,X7),X1),hAPP(c_COMBS(X8,X9,X10,X11),X12)) != hAPP(hAPP(X8,X1),hAPP(X12,X1)) ),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_66,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)) ),
cls_le__iff__inf_0 ).
cnf(c_0_67,negated_conjecture,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Lattices_Olower__semilattice__class_Oinf(X1,v_n,tc_nat)),v_ia)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_68,plain,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))
| c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_nat) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_51])]) ).
cnf(c_0_69,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),
inference(spm,[status(thm)],[c_0_60,c_0_51]) ).
cnf(c_0_70,axiom,
hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X1))),
cls_less__Suc__eq_2 ).
cnf(c_0_71,axiom,
c_Suc(X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),
cls_Suc__eq__plus1_0 ).
cnf(c_0_72,plain,
hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2),X1,tc_bool,tc_bool),X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X1,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_62]),c_0_62]) ).
cnf(c_0_73,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
cls_COMBB__def_0 ).
cnf(c_0_74,axiom,
( hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X1,X3)))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_exE__some_0 ).
cnf(c_0_75,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_63]),c_0_64])]) ).
cnf(c_0_76,plain,
c_COMBS(c_COMBC(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3),X4,X5,X6),X7,X8,X9) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_77,negated_conjecture,
c_Lattices_Olower__semilattice__class_Oinf(v_ia,c_Lattices_Olower__semilattice__class_Oinf(X1,v_n,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(X1,v_n,tc_nat),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_51])]),c_0_59]) ).
cnf(c_0_78,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1))) ),
cls_le__infE_1 ).
cnf(c_0_79,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat)),X1)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_80,plain,
hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__left_0 ).
cnf(c_0_82,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_add__is__0_0 ).
cnf(c_0_83,axiom,
( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(t_a,X1)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(X2,v_x),hAPP(X3,v_x),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__fun__eq_0 ).
cnf(c_0_84,plain,
hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4) = hAPP(hAPP(c_and,hAPP(X1,X4)),hAPP(X2,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_72]),c_0_73]) ).
cnf(c_0_85,axiom,
hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),X2)),X3),X2) = X1,
cls_subst__lift_0 ).
cnf(c_0_86,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)) ),
cls_inf__absorb2_0 ).
cnf(c_0_87,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),c_Hilbert__Choice_OEps(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_88,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
cls_Int__commute_0 ).
cnf(c_0_89,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X2),X1) != hAPP(hAPP(X2,X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_46]),c_0_76]) ).
cnf(c_0_90,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2)) ),
cls_linorder__not__le_1 ).
cnf(c_0_91,negated_conjecture,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),v_ia),c_Lattices_Olower__semilattice__class_Oinf(X1,v_n,tc_nat)))
| c_Lattices_Olower__semilattice__class_Oinf(X1,v_n,tc_nat) != v_ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_77]),c_0_51])]) ).
cnf(c_0_92,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder ).
cnf(c_0_93,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),X3,tc_nat)),X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_51])]) ).
cnf(c_0_94,plain,
hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Hilbert__Choice_OEps(c_HOL_Oord__class_Oless(X1,tc_nat),X2))),
inference(spm,[status(thm)],[c_0_74,c_0_80]) ).
cnf(c_0_95,plain,
hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X1,tc_bool,tc_bool),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(spm,[status(thm)],[c_0_81,c_0_72]) ).
cnf(c_0_96,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_97,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot ).
cnf(c_0_98,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X2,X3,X4),X5),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(spm,[status(thm)],[c_0_82,c_0_46]) ).
cnf(c_0_99,axiom,
( X1 = X3
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2) ),
cls_nat__add__right__cancel_0 ).
cnf(c_0_100,plain,
c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,v_x),hAPP(X2,v_x),tc_bool) = hAPP(hAPP(c_and,hAPP(X1,v_x)),hAPP(X2,v_x)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_54]),c_0_84]) ).
cnf(c_0_101,plain,
hAPP(hAPP(c_COMBC(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),X2)),X3,X4,X5),X2),X6) = X1,
inference(spm,[status(thm)],[c_0_85,c_0_48]) ).
cnf(c_0_102,plain,
hAPP(hAPP(c_and,hAPP(X1,X2)),hAPP(X1,X2)) = hAPP(X1,X2),
inference(spm,[status(thm)],[c_0_84,c_0_63]) ).
cnf(c_0_103,plain,
hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2),X1,tc_bool,tc_bool),c_Hilbert__Choice_OEps(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_64])]),c_0_88]),c_0_72]) ).
cnf(c_0_104,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),c_COMBC(X2,X3,X4,X5)),X1) != hAPP(hAPP(X2,X1),X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_48]) ).
cnf(c_0_105,negated_conjecture,
c_Lattices_Olower__semilattice__class_Oinf(X1,v_n,tc_nat) != v_ia,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_57])]) ).
cnf(c_0_106,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_nat),X3,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_nat),X3,tc_nat),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_93]),c_0_51])]),c_0_59]) ).
cnf(c_0_107,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_Hilbert__Choice_OEps(c_HOL_Oord__class_Oless(X1,tc_nat),X2))),
inference(spm,[status(thm)],[c_0_56,c_0_94]) ).
cnf(c_0_108,plain,
hAPP(hAPP(c_and,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),hAPP(X3,X2)) = hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_95]),c_0_73]) ).
cnf(c_0_109,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_96,c_0_97]) ).
cnf(c_0_110,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_COMBC(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X2,X3,X4),X5,X6,X7),X1),X8) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(spm,[status(thm)],[c_0_98,c_0_48]) ).
cnf(c_0_111,plain,
( X1 = X2
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(X3,X2)) != hAPP(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X4,X5,X6),X3),X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_46]) ).
cnf(c_0_112,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice ).
cnf(c_0_113,plain,
c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,v_x),X2,tc_bool) = hAPP(hAPP(c_and,hAPP(X1,v_x)),X2),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_114,plain,
hAPP(hAPP(c_and,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_115,plain,
c_COMBC(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2,X3) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_116,negated_conjecture,
c_Lattices_Olower__semilattice__class_Oinf(v_n,X1,tc_nat) != v_ia,
inference(spm,[status(thm)],[c_0_105,c_0_59]) ).
cnf(c_0_117,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),X3,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),X3,tc_nat),
inference(spm,[status(thm)],[c_0_106,c_0_59]) ).
cnf(c_0_118,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)) ),
cls_nat__le__linear_0 ).
cnf(c_0_119,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Hilbert__Choice_OEps(c_HOL_Oord__class_Oless(X1,tc_nat),X2),tc_nat) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_107]),c_0_51])]) ).
cnf(c_0_120,plain,
hAPP(hAPP(c_and,c_Orderings_Obot__class_Obot(tc_bool)),hAPP(X1,v_x)) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_121,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_COMBS(c_COMBC(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X2,X3,X4),X5,X6,X7),X8,X9,X10),X11),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(spm,[status(thm)],[c_0_110,c_0_46]) ).
cnf(c_0_122,plain,
( X1 = X2
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(X3,X2)) != hAPP(hAPP(c_COMBC(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X4,X5,X6),X7,X8,X9),X2),X3) ),
inference(spm,[status(thm)],[c_0_111,c_0_48]) ).
cnf(c_0_123,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_bool),
inference(spm,[status(thm)],[c_0_52,c_0_112]) ).
cnf(c_0_124,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool) = hAPP(hAPP(c_and,X1),X2),
inference(spm,[status(thm)],[c_0_113,c_0_101]) ).
cnf(c_0_125,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I9_J_0 ).
cnf(c_0_126,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
clsarity_nat__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_127,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_and,X1)),X1) != hAPP(X1,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_114]) ).
cnf(c_0_128,plain,
hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X1),X2) = hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X2),X1),
inference(spm,[status(thm)],[c_0_48,c_0_115]) ).
cnf(c_0_129,negated_conjecture,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(v_n,X1,tc_nat),X2,tc_nat) != v_ia,
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_130,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat) = X2
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_118]),c_0_51])]) ).
cnf(c_0_131,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Hilbert__Choice_OEps(c_HOL_Oord__class_Oless(X1,tc_nat),X2),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_nat),
inference(spm,[status(thm)],[c_0_106,c_0_119]) ).
cnf(c_0_132,plain,
hAPP(hAPP(c_and,c_Orderings_Obot__class_Obot(tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_120,c_0_101]) ).
cnf(c_0_133,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X2),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(spm,[status(thm)],[c_0_121,c_0_76]) ).
cnf(c_0_134,plain,
( X1 = X2
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(X3,X2),X2)) != hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X3),X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_46]),c_0_76]) ).
cnf(c_0_135,plain,
hAPP(hAPP(c_and,X1),X2) = hAPP(hAPP(c_and,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124]),c_0_124]) ).
cnf(c_0_136,plain,
hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_137,axiom,
X1 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)),
cls_natgb_Oadd__r0__iff_1 ).
cnf(c_0_138,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X1),hAPP(c_and,X1)) != hAPP(X1,X1) ),
inference(rw,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_139,negated_conjecture,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),v_n),X1))
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat) != v_ia ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_140,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),c_Hilbert__Choice_OEps(c_HOL_Oord__class_Oless(X1,tc_nat),X3),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),
inference(spm,[status(thm)],[c_0_59,c_0_131]) ).
cnf(c_0_141,axiom,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))),
cls_le__add2_0 ).
cnf(c_0_142,plain,
hAPP(hAPP(c_COMBS(c_and,X1,X2,X3),X4),c_Orderings_Obot__class_Obot(tc_bool)) = c_Orderings_Obot__class_Obot(tc_bool),
inference(spm,[status(thm)],[c_0_46,c_0_132]) ).
cnf(c_0_143,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_COMBC(c_HOL_Ozero__class_Ozero(tc_nat),X2,X3,X4),X1),X5) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(spm,[status(thm)],[c_0_133,c_0_48]) ).
cnf(c_0_144,plain,
( X1 = X2
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) != hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),c_and),X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_114]) ).
cnf(c_0_145,plain,
hAPP(hAPP(c_COMBS(X1,X2,X3,X4),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),X5) = hAPP(hAPP(X1,X5),c_HOL_Ozero__class_Ozero(tc_nat)),
inference(spm,[status(thm)],[c_0_46,c_0_136]) ).
cnf(c_0_146,plain,
hAPP(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))),X4) = X4,
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_136]),c_0_137])]) ).
cnf(c_0_147,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_COMBS(c_HOL_Ozero__class_Ozero(tc_nat),X2,X3,X4),c_and),X1) != hAPP(X1,X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_46]) ).
cnf(c_0_148,negated_conjecture,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),v_n),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat)))
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat) != v_ia ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_149,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) = X1,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_141]),c_0_51])]),c_0_59]) ).
cnf(c_0_150,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),c_COMBS(c_and,X1,X2,X3)),c_Orderings_Obot__class_Obot(tc_bool)) != c_Orderings_Obot__class_Obot(tc_bool) ),
inference(spm,[status(thm)],[c_0_89,c_0_142]) ).
cnf(c_0_151,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X1),X2) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(spm,[status(thm)],[c_0_143,c_0_115]) ).
cnf(c_0_152,plain,
hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),c_and),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).
cnf(c_0_153,plain,
hAPP(c_COMBS(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2,X3),c_and) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(er,[status(thm)],[c_0_147]) ).
cnf(c_0_154,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X2))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)) ),
cls_not__less__eq__eq_0 ).
cnf(c_0_155,negated_conjecture,
( c_Lattices_Olower__semilattice__class_Oinf(v_n,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),tc_nat) = v_n
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat) != v_ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_148]),c_0_51])]) ).
cnf(c_0_156,plain,
c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,X2),hAPP(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X3,X4,X5),X1),X2),tc_nat) = hAPP(X1,X2),
inference(spm,[status(thm)],[c_0_149,c_0_46]) ).
cnf(c_0_157,axiom,
( hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X2))
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0 ).
cnf(c_0_158,plain,
( c_Orderings_Obot__class_Obot(tc_bool) = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),c_Orderings_Obot__class_Obot(tc_bool)),c_COMBS(c_and,X1,X2,X3)) != c_Orderings_Obot__class_Obot(tc_bool) ),
inference(spm,[status(thm)],[c_0_150,c_0_128]) ).
cnf(c_0_159,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_and,
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_160,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),c_and),X1) != X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_135]),c_0_114]) ).
cnf(c_0_161,plain,
hAPP(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X1),hAPP(c_and,X1)) = hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X1),
inference(spm,[status(thm)],[c_0_46,c_0_153]) ).
cnf(c_0_162,plain,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))),X2)) ),
inference(rw,[status(thm)],[c_0_154,c_0_71]) ).
cnf(c_0_163,axiom,
c_HOL_Oord__class_Oless(v_n,tc_nat) = hAPP(c_lessequals(tc_nat),c_Suc(v_n)),
cls_less__eq__Suc__le__raw_0 ).
cnf(c_0_164,negated_conjecture,
( c_Lattices_Olower__semilattice__class_Oinf(v_n,hAPP(X1,X2),tc_nat) = v_n
| hAPP(X1,X2) != v_ia ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_165,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)),X1)),
inference(spm,[status(thm)],[c_0_157,c_0_97]) ).
cnf(c_0_166,plain,
c_Orderings_Obot__class_Obot(tc_bool) = c_and,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159]),c_0_159]),c_0_132])]) ).
cnf(c_0_167,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) = hAPP(c_and,c_and)
| hAPP(c_HOL_Ozero__class_Ozero(tc_nat),c_and) != hAPP(c_and,c_and) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_168,negated_conjecture,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,v_n,tc_nat),X2,tc_nat) != v_ia,
inference(spm,[status(thm)],[c_0_116,c_0_106]) ).
cnf(c_0_169,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat) = X1
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat))),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_162]),c_0_51])]) ).
cnf(c_0_170,plain,
c_HOL_Oord__class_Oless(v_n,tc_nat) = hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n),c_HOL_Oone__class_Oone(tc_nat))),
inference(rw,[status(thm)],[c_0_163,c_0_71]) ).
cnf(c_0_171,negated_conjecture,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(X1,X2)),v_n))
| hAPP(X1,X2) != v_n
| hAPP(X1,X2) != v_ia ),
inference(spm,[status(thm)],[c_0_68,c_0_164]) ).
cnf(c_0_172,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_and),X1)),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_173,plain,
hAPP(c_and,c_and) = c_and,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_159]),c_0_159])]) ).
cnf(c_0_174,negated_conjecture,
( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),X1))
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat) != v_ia ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).
cnf(c_0_175,negated_conjecture,
( c_Lattices_Olower__semilattice__class_Oinf(v_n,hAPP(X1,X2),tc_nat) = hAPP(X1,X2)
| hAPP(X1,X2) != v_n
| hAPP(X1,X2) != v_ia ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_171]),c_0_59]),c_0_51])]) ).
cnf(c_0_176,axiom,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X1)),
cls_less__not__refl_0 ).
cnf(c_0_177,plain,
( X1 = c_and
| hAPP(hAPP(c_and,X1),X2) != c_and ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_159]),c_0_159]),c_0_159]) ).
cnf(c_0_178,plain,
hAPP(c_and,X1) = c_and,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_172]),c_0_124]),c_0_173]),c_0_112])]) ).
cnf(c_0_179,negated_conjecture,
( hAPP(X1,X2) != v_ia
| hAPP(X1,X2) != v_n ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).
cnf(c_0_180,plain,
X1 = c_and,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178]),c_0_178])]) ).
cnf(c_0_181,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180]),c_0_180]),c_0_180]),c_0_180]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL747-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n002.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Aug 24 19:53:31 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.58 start to proof: theBenchmark
% 181.00/181.10 % Version : CSE_E---1.5
% 181.00/181.10 % Problem : theBenchmark.p
% 181.00/181.10 % Proof found
% 181.00/181.10 % SZS status Theorem for theBenchmark.p
% 181.00/181.10 % SZS output start Proof
% See solution above
% 181.00/181.11 % Total time : 180.408000 s
% 181.00/181.11 % SZS output end Proof
% 181.00/181.11 % Total time : 180.442000 s
%------------------------------------------------------------------------------