TSTP Solution File: SWV875-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV875-1 : 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 : n013.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 21:48:28 EDT 2023
% Result : Unsatisfiable 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 156
% Syntax : Number of formulae : 159 ( 5 unt; 154 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 296 ( 142 >; 154 *; 0 +; 0 <<)
% Number of predicates : 65 ( 64 usr; 1 prp; 0-9 aty)
% Number of functors : 90 ( 90 usr; 12 con; 0-6 aty)
% Number of variables : 2 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Lattices_Olower__semilattice: ( $i * $i * $i * $i ) > $o ).
tff(decl_24,type,
hBOOL: $i > $o ).
tff(decl_25,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_26,type,
c_lessequals: $i > $i ).
tff(decl_27,type,
c_Orderings_Oord__class_Omin: $i > $i ).
tff(decl_28,type,
tc_bool: $i ).
tff(decl_29,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_30,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i ).
tff(decl_31,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(decl_32,type,
c_OrderedGroup_Oab__semigroup__idem__mult: ( $i * $i ) > $o ).
tff(decl_33,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_34,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_36,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(decl_37,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_38,type,
c_Finite__Set_Ofold__image: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_40,type,
c_Orderings_Oord__class_Omax: $i > $i ).
tff(decl_41,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_42,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_43,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_45,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_46,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_47,type,
c_HOL_Oord__class_Oless: $i > $i ).
tff(decl_48,type,
c_HOL_Otimes__class_Otimes: $i > $i ).
tff(decl_49,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_50,type,
c_fequal: $i > $i ).
tff(decl_51,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
c_The: ( $i * $i ) > $i ).
tff(decl_53,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_54,type,
c_Finite__Set_Ofold: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_57,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_58,type,
c_Option_Ooption_OSome: $i > $i ).
tff(decl_59,type,
tc_Option_Ooption: $i > $i ).
tff(decl_60,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_62,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_63,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_65,type,
class_HOL_Oord: $i > $o ).
tff(decl_66,type,
c_in: $i > $i ).
tff(decl_67,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(decl_68,type,
c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).
tff(decl_69,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_70,type,
c_Suc: $i > $i ).
tff(decl_71,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_72,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_74,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_76,type,
tc_nat: $i ).
tff(decl_77,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_78,type,
t_b: $i ).
tff(decl_79,type,
t_a: $i ).
tff(decl_80,type,
c_Option_Ooption_Ooption__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_83,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_84,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_85,type,
v_x: $i ).
tff(decl_86,type,
c_Set_Oinsert: $i > $i ).
tff(decl_87,type,
c_Orderings_Olinorder: ( $i * $i * $i ) > $o ).
tff(decl_88,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_89,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_90,type,
c_Map_Odom: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_92,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_93,type,
c_Finite__Set_Ofun__left__comm: ( $i * $i * $i ) > $o ).
tff(decl_94,type,
c_Finite__Set_Olattice__class_OInf__fin: $i > $i ).
tff(decl_95,type,
c_Finite__Set_Ofold1: ( $i * $i ) > $i ).
tff(decl_96,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_97,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_98,type,
class_OrderedGroup_Olordered__ab__group__add__join: $i > $o ).
tff(decl_99,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_100,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_101,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_102,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_103,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(decl_104,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_105,type,
c_Finite__Set_Osetprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_107,type,
c_Map_Osko__Map__Xmap__le__def__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_109,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_110,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_111,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_112,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_113,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_114,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_115,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_117,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_118,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_119,type,
c_OrderedGroup_Oab__semigroup__mult: ( $i * $i ) > $o ).
tff(decl_120,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_121,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_122,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_123,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_124,type,
class_Orderings_Obot: $i > $o ).
tff(decl_125,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_126,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_127,type,
c_Finite__Set_Olinorder__class_OMax: $i > $i ).
tff(decl_128,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_129,type,
c_Finite__Set_Olinorder__class_OMin: $i > $i ).
tff(decl_130,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_131,type,
c_Option_Oset: ( $i * $i ) > $i ).
tff(decl_132,type,
c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).
tff(decl_133,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(decl_134,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_135,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_136,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(decl_137,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_138,type,
c_Natural_Oevalc: $i > $i ).
tff(decl_139,type,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).
tff(decl_140,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_141,type,
c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).
tff(decl_142,type,
tc_Com_Ostate: $i ).
tff(decl_143,type,
v_sko__Hoare__Mirabelle__Xescape__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_144,type,
v_sko__Hoare__Mirabelle__Xescape__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_145,type,
v_c: $i ).
tff(decl_146,type,
c_Hoare__Mirabelle_OMGT: $i > $i ).
tff(decl_147,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__nonempty__imp__fold1Set__1__1: ( $i * $i * $i ) > $i ).
tff(decl_149,type,
c_Map_Osko__Map__XdomD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_150,type,
c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1: ( $i * $i ) > $i ).
tff(decl_151,type,
c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2: ( $i * $i ) > $i ).
tff(decl_152,type,
c_Finite__Set_Olattice_OSup__fin: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
c_Finite__Set_Olattice_OInf__fin: ( $i * $i * $i ) > $i ).
tff(decl_154,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_155,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_156,type,
class_HOL_Ominus: $i > $o ).
tff(decl_157,type,
c_Option_Othe: ( $i * $i ) > $i ).
tff(decl_158,type,
c_Set_Ocontents: ( $i * $i ) > $i ).
tff(decl_159,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_160,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_161,type,
v_sko__Hoare__Mirabelle__Xconseq12__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_162,type,
v_sko__Hoare__Mirabelle__Xconseq12__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_163,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_164,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_165,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_166,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
v_sko__Hoare__Mirabelle__Xconseq2__1: ( $i * $i ) > $i ).
tff(decl_168,type,
v_sko__Hoare__Mirabelle__Xconseq2__2: ( $i * $i ) > $i ).
tff(decl_169,type,
v_sko__Hoare__Mirabelle__Xconseq12__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_170,type,
v_sko__Hoare__Mirabelle__Xconseq1__1: ( $i * $i ) > $i ).
tff(decl_171,type,
v_sko__Hoare__Mirabelle__Xconseq1__2: ( $i * $i ) > $i ).
tff(decl_172,type,
c_Com_Obody: $i ).
tff(decl_173,type,
tc_Com_Ocom: $i ).
tff(decl_174,type,
tc_Com_Opname: $i ).
tff(decl_175,type,
v_G: $i ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),v_x),v_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_evalc_OSkip_0,axiom,
hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X1),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OSkip_0) ).
cnf(c_0_2,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),v_x),v_x)),
cls_conjecture_0 ).
cnf(c_0_3,axiom,
hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X1),X1)),
cls_evalc_OSkip_0 ).
cnf(c_0_4,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2,c_0_3])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV875-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 10:15:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.64 % Version : CSE_E---1.5
% 0.19/0.64 % Problem : theBenchmark.p
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark.p
% 0.19/0.64 % SZS output start Proof
% See solution above
% 0.19/0.65 % Total time : 0.037000 s
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time : 0.077000 s
%------------------------------------------------------------------------------