TSTP Solution File: SWV851-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV851-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 21:48:23 EDT 2023
% Result : Unsatisfiable 207.67s 207.65s
% Output : CNFRefutation 207.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 160
% Syntax : Number of formulae : 249 ( 63 unt; 119 typ; 0 def)
% Number of atoms : 215 ( 83 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 161 ( 76 ~; 85 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 220 ( 100 >; 120 *; 0 +; 0 <<)
% Number of predicates : 45 ( 43 usr; 1 prp; 0-4 aty)
% Number of functors : 76 ( 76 usr; 19 con; 0-6 aty)
% Number of variables : 280 ( 83 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
tc_bool: $i ).
tff(decl_25,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_26,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_28,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_29,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(decl_30,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_31,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_32,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i ).
tff(decl_33,type,
c_Set_Ovimage: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_35,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_36,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_37,type,
c_Set_Oinsert: ( $i * $i ) > $i ).
tff(decl_38,type,
c_Finite__Set_Ofold: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_41,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(decl_43,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_44,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_45,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
c_COMBB: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
hBOOL: $i > $o ).
tff(decl_48,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_49,type,
c_Fun_Othe__inv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
c_Set_Oimage: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
c_in: $i > $i ).
tff(decl_52,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_53,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_54,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_55,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_56,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_57,type,
tc_nat: $i ).
tff(decl_58,type,
c_Suc: $i > $i ).
tff(decl_59,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_60,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_61,type,
t_a: $i ).
tff(decl_62,type,
v_x: $i ).
tff(decl_63,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_65,type,
c_Int_Oring__1__class_OInts: $i > $i ).
tff(decl_66,type,
c_Com_Ocom_Ocom__size: $i > $i ).
tff(decl_67,type,
tc_Com_Ocom: $i ).
tff(decl_68,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_69,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_71,type,
class_HOL_Ominus: $i > $o ).
tff(decl_72,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_73,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_74,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_75,type,
c_Com_Ocom_OBODY: $i ).
tff(decl_76,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_77,type,
c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
v_f: $i ).
tff(decl_80,type,
v_g: $i ).
tff(decl_81,type,
t_b: $i ).
tff(decl_82,type,
t_c: $i ).
tff(decl_83,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_84,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(decl_87,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__2: ( $i * $i ) > $i ).
tff(decl_88,type,
c_Hoare__Mirabelle_Otriple__valid: ( $i * $i * $i ) > $o ).
tff(decl_89,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_90,type,
c_Hoare__Mirabelle_Otriple_Otriple: $i > $i ).
tff(decl_91,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_92,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
class_HOL_Oord: $i > $o ).
tff(decl_95,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_96,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_97,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_100,type,
c_OrderedGroup_Olordered__ab__group__add__class_Opprt: ( $i * $i ) > $i ).
tff(decl_101,type,
class_Orderings_Obot: $i > $o ).
tff(decl_102,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_103,type,
c_ATP__Linkup_Osko__Set__Xbex__Un__1__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_105,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_106,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_107,type,
class_Power_Opower: $i > $o ).
tff(decl_108,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_109,type,
c_ATP__Linkup_Osko__Set__Ximage__cong__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
v_P: $i ).
tff(decl_111,type,
v_Q: $i ).
tff(decl_112,type,
v_R: $i ).
tff(decl_113,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__1: ( $i * $i ) > $i ).
tff(decl_114,type,
v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1: ( $i * $i ) > $i ).
tff(decl_115,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_116,type,
c_Nat_Osemiring__1__class_ONats: $i > $i ).
tff(decl_117,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_118,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_119,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_120,type,
class_Orderings_Otop: $i > $o ).
tff(decl_121,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_122,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_123,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_124,type,
c_Option_Othe: $i > $i ).
tff(decl_125,type,
tc_Com_Ostate: $i ).
tff(decl_126,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_127,type,
v_sko__Hoare__Mirabelle__Xfinite__pointwise__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_128,type,
c_List_Osko__List__Xfoldl__apply__inv__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_129,type,
c_Com_Obody: $i ).
tff(decl_130,type,
c_ATP__Linkup_Osko__Set__XimageE__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_131,type,
c_ATP__Linkup_Osko__Set__Ximage__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_132,type,
c_ATP__Linkup_Osko__Set__Xball__Un__1__3: ( $i * $i * $i ) > $i ).
tff(decl_133,type,
c_ATP__Linkup_Osko__Set__Xbex__Un__1__2: ( $i * $i * $i ) > $i ).
tff(decl_134,type,
c_Hoare__Mirabelle_Otriple_Otriple__size: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
tc_Com_Opname: $i ).
tff(decl_136,type,
tc_Option_Ooption: $i > $i ).
tff(decl_137,type,
v_Procs: $i ).
tff(decl_138,type,
v_G: $i ).
tff(decl_139,type,
v_na: $i > $i ).
tff(decl_140,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_fun__Compl__def_0,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(t_a,X1)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(X2,v_x),X1)
| ~ class_HOL_Ouminus(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__Compl__def_0) ).
cnf(cls_double__complement_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__complement_0) ).
cnf(clsarity_bool__HOL_Ouminus,axiom,
class_HOL_Ouminus(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Ouminus) ).
cnf(cls_double__compl_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__compl_0) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(cls_le__supE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(cls_fun__upd__same_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__same_0) ).
cnf(cls_sup__top__left_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(cls_le__funD_0,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(cls_diff__eq_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__eq_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_image__cong_0,axiom,
( hAPP(c_Set_Oimage(X1,X2,X3),X4) = hAPP(c_Set_Oimage(X5,X2,X3),X4)
| hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X4,X1,X5,X2,X3)),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__cong_0) ).
cnf(cls_order__eq__iff_2,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_le__supE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).
cnf(cls_inf__top__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__left_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_image__constant__conv_1,axiom,
( hAPP(c_Set_Oimage(c_COMBK(X1,X2,X3),X3,X2),X4) = hAPP(c_Set_Oinsert(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_insert__absorb_0,axiom,
( hAPP(c_Set_Oinsert(X1,X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_fun__diff__def_0,axiom,
( hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)
| ~ class_HOL_Ominus(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__diff__def_0) ).
cnf(cls_bot__fun__eq_0,axiom,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(hAPP(c_Set_Oinsert(X3,X4),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__eq__Diff__UNIV_0) ).
cnf(clsarity_bool__HOL_Ominus,axiom,
class_HOL_Ominus(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Ominus) ).
cnf(cls_compl__top__eq_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__top__eq_0) ).
cnf(cls_ComplD_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplD_0) ).
cnf(cls_insert__iff_1,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Set_Oinsert(X2,X1),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),v_x,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_n__not__Suc__n_0,axiom,
X1 != c_Suc(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
cnf(cls_Suc__neq__Zero_0,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__neq__Zero_0) ).
cnf(cls_triple_Osize_I1_J_0,axiom,
c_Hoare__Mirabelle_Otriple_Otriple__size(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),X2) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple_Osize_I1_J_0) ).
cnf(c_0_41,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(t_a,X1)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(X2,v_x),X1)
| ~ class_HOL_Ouminus(X1) ),
cls_fun__Compl__def_0 ).
cnf(c_0_42,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_double__complement_0 ).
cnf(c_0_43,axiom,
class_HOL_Ouminus(tc_bool),
clsarity_bool__HOL_Ouminus ).
cnf(c_0_44,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_double__compl_0 ).
cnf(c_0_45,plain,
c_HOL_Ouminus__class_Ouminus(hAPP(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(t_a,tc_bool)),v_x),tc_bool) = hAPP(X1,v_x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_46,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
clsarity_bool__Lattices_Oboolean__algebra ).
cnf(c_0_47,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0 ).
cnf(c_0_48,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder ).
cnf(c_0_49,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(t_a,tc_bool)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(X1,v_x),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_50,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
cls_le__supE_1 ).
cnf(c_0_51,plain,
c_lessequals(X1,X1,tc_bool),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice ).
cnf(c_0_53,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(hAPP(X1,v_x),tc_bool),tc_bool) = hAPP(X1,v_x),
inference(rw,[status(thm)],[c_0_45,c_0_49]) ).
cnf(c_0_54,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__same_0 ).
cnf(c_0_55,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X2),X1),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_56,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__left_0 ).
cnf(c_0_57,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice ).
cnf(c_0_58,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_59,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_subset__UNIV_0 ).
cnf(c_0_60,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord ).
cnf(c_0_61,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_diff__eq_0 ).
cnf(c_0_62,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_bool),tc_bool) = X1,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
cls_mem__def_0 ).
cnf(c_0_64,axiom,
( hAPP(c_Set_Oimage(X1,X2,X3),X4) = hAPP(c_Set_Oimage(X5,X2,X3),X4)
| hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X4,X1,X5,X2,X3)),X4)) ),
cls_image__cong_0 ).
cnf(c_0_65,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__eq__iff_2 ).
cnf(c_0_66,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_bool),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_67,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
cls_le__supE_0 ).
cnf(c_0_68,plain,
c_lessequals(hAPP(X1,X2),hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X2),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_69,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__left_0 ).
cnf(c_0_70,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_bool),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_46])]) ).
cnf(c_0_71,axiom,
hBOOL(hAPP(hAPP(c_Set_Oinsert(X1,X2),X3),X1)),
cls_insert__code_1 ).
cnf(c_0_72,axiom,
( hAPP(c_Set_Oimage(c_COMBK(X1,X2,X3),X3,X2),X4) = hAPP(c_Set_Oinsert(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_image__constant__conv_1 ).
cnf(c_0_73,plain,
( hAPP(c_Set_Oimage(X1,X2,X3),X4) = hAPP(c_Set_Oimage(X5,X2,X3),X4)
| hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(X4,X1,X5,X2,X3))) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0 ).
cnf(c_0_75,axiom,
( hAPP(c_Set_Oinsert(X1,X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_76,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_mem__def_1 ).
cnf(c_0_77,axiom,
( hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)
| ~ class_HOL_Ominus(X1) ),
cls_fun__diff__def_0 ).
cnf(c_0_78,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_79,plain,
( c_Orderings_Otop__class_Otop(tc_bool) = X1
| ~ c_lessequals(c_Orderings_Otop__class_Otop(tc_bool),X1,tc_bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_48])]) ).
cnf(c_0_80,plain,
c_lessequals(X1,hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3),tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_52])]) ).
cnf(c_0_81,plain,
c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),c_HOL_Ouminus__class_Ouminus(X1,tc_bool),tc_bool) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_57])]) ).
cnf(c_0_82,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(hAPP(c_Set_Oinsert(X3,X4),X1),X2)) ),
cls_insert__code_0 ).
cnf(c_0_83,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_84,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBK(X3,X4,X2),X2,X4),X1),X3)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_85,plain,
( hAPP(c_Set_Oimage(X1,X2,X3),c_COMBK(X4,X5,X6)) = hAPP(c_Set_Oimage(X7,X2,X3),c_COMBK(X4,X5,X6))
| hBOOL(X4) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_86,plain,
( hAPP(c_Set_Oinsert(X1,X2),X3) = X3
| ~ hBOOL(hAPP(X3,X1)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_87,plain,
( hAPP(c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(t_a,X2)),tc_fun(t_a,X3)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),c_Orderings_Obot__class_Obot(X2),X3)
| ~ class_Orderings_Obot(X2)
| ~ class_HOL_Ominus(X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,axiom,
c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
cls_Compl__eq__Diff__UNIV_0 ).
cnf(c_0_89,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2) = c_Orderings_Otop__class_Otop(tc_bool),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,plain,
c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_bool),X1,tc_bool) = c_HOL_Ouminus__class_Ouminus(X1,tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_44]),c_0_46])]) ).
cnf(c_0_91,axiom,
class_HOL_Ominus(tc_bool),
clsarity_bool__HOL_Ominus ).
cnf(c_0_92,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| X3 = X4
| ~ hBOOL(hAPP(hAPP(c_Set_Oimage(c_COMBK(X4,X5,X2),X2,X5),X1),X3)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_72]),c_0_83]) ).
cnf(c_0_93,plain,
( c_COMBK(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| hBOOL(hAPP(hAPP(c_Set_Oimage(X5,X4,X6),c_COMBK(X1,X2,X3)),X7))
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__top__eq_0 ).
cnf(c_0_95,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)))) ),
cls_ComplD_0 ).
cnf(c_0_96,axiom,
hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Set_Oinsert(X2,X1),X3))),
cls_insert__iff_1 ).
cnf(c_0_97,plain,
hAPP(c_Set_Oinsert(X1,X2),hAPP(c_Set_Oinsert(X1,X3),X4)) = hAPP(c_Set_Oinsert(X1,X3),X4),
inference(spm,[status(thm)],[c_0_86,c_0_71]) ).
cnf(c_0_98,plain,
( c_HOL_Ouminus__class_Ouminus(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x),tc_bool) = c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),tc_bool)
| ~ class_Orderings_Obot(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_49]),c_0_89]),c_0_90]),c_0_91])]) ).
cnf(c_0_99,plain,
( c_COMBK(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| X5 = X6
| hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_100,plain,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_bool),tc_bool) = c_Orderings_Otop__class_Otop(tc_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_94]),c_0_46])]) ).
cnf(c_0_101,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot ).
cnf(c_0_102,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
cls_conjecture_2 ).
cnf(c_0_103,plain,
( ~ hBOOL(hAPP(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_76]) ).
cnf(c_0_104,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Set_Oinsert(X2,X3),X4))),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_105,plain,
( hAPP(c_Set_Oinsert(X1,X2),c_COMBK(X3,X4,X5)) = c_COMBK(X3,X4,X5)
| ~ hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_86,c_0_74]) ).
cnf(c_0_106,plain,
( c_HOL_Ouminus__class_Ouminus(X1,tc_bool) = c_Orderings_Otop__class_Otop(tc_bool)
| X2 = X3
| hBOOL(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_74]),c_0_100]),c_0_101])]) ).
cnf(c_0_107,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),v_x,t_a),
cls_conjecture_1 ).
cnf(c_0_108,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),X1,t_a)
| ~ hBOOL(hAPP(v_G,X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_76]) ).
cnf(c_0_109,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_bool)
| X2 = X3
| hBOOL(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_99]),c_0_74]),c_0_101])]) ).
cnf(c_0_110,plain,
( ~ hBOOL(hAPP(hAPP(c_in(t_a),v_x),X1))
| ~ hBOOL(c_HOL_Ouminus__class_Ouminus(hAPP(X1,v_x),tc_bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_41]),c_0_43])]) ).
cnf(c_0_111,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),c_COMBK(X3,X4,X5)))
| ~ hBOOL(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,plain,
( c_HOL_Ouminus__class_Ouminus(X1,tc_bool) = c_Orderings_Otop__class_Otop(tc_bool)
| hBOOL(X1) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_106])]) ).
cnf(c_0_113,negated_conjecture,
~ hBOOL(hAPP(v_G,v_x)),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_114,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_bool)
| hBOOL(X1) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_109])]) ).
cnf(c_0_115,plain,
( ~ hBOOL(c_HOL_Ouminus__class_Ouminus(X1,tc_bool))
| ~ hBOOL(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_74]) ).
cnf(c_0_116,plain,
( c_Orderings_Otop__class_Otop(tc_bool) = X1
| hBOOL(c_HOL_Ouminus__class_Ouminus(X1,tc_bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_112]),c_0_46])]) ).
cnf(c_0_117,negated_conjecture,
c_Orderings_Obot__class_Obot(tc_bool) = hAPP(v_G,v_x),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
( c_Orderings_Otop__class_Otop(tc_bool) = X1
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
( X1 = hAPP(v_G,v_x)
| hBOOL(X1) ),
inference(rw,[status(thm)],[c_0_114,c_0_117]) ).
cnf(c_0_120,axiom,
X1 != c_Suc(X1),
cls_n__not__Suc__n_0 ).
cnf(c_0_121,plain,
( X1 = hAPP(v_G,v_x)
| c_Orderings_Otop__class_Otop(tc_bool) = X1 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
cls_Suc__neq__Zero_0 ).
cnf(c_0_123,plain,
c_Suc(c_Orderings_Otop__class_Otop(tc_bool)) = hAPP(v_G,v_x),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121])]) ).
cnf(c_0_124,axiom,
c_Hoare__Mirabelle_Otriple_Otriple__size(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),X2) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_triple_Osize_I1_J_0 ).
cnf(c_0_125,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(v_G,v_x),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,plain,
c_Orderings_Otop__class_Otop(tc_bool) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_121]),c_0_124]),c_0_125]) ).
cnf(c_0_127,plain,
( X1 = hAPP(v_G,v_x)
| c_HOL_Ozero__class_Ozero(tc_nat) = X1 ),
inference(rw,[status(thm)],[c_0_121,c_0_126]) ).
cnf(c_0_128,plain,
c_Suc(X1) = hAPP(v_G,v_x),
inference(spm,[status(thm)],[c_0_122,c_0_127]) ).
cnf(c_0_129,plain,
$false,
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_128])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV851-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 08:41:28 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 207.67/207.65 % Version : CSE_E---1.5
% 207.67/207.65 % Problem : theBenchmark.p
% 207.67/207.65 % Proof found
% 207.67/207.65 % SZS status Theorem for theBenchmark.p
% 207.67/207.65 % SZS output start Proof
% See solution above
% 207.67/207.66 % Total time : 207.057000 s
% 207.67/207.66 % SZS output end Proof
% 207.67/207.66 % Total time : 207.089000 s
%------------------------------------------------------------------------------