TSTP Solution File: SWV884-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV884-1 : 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 21:48:30 EDT 2023
% Result : Unsatisfiable 0.53s 0.93s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 118
% Syntax : Number of formulae : 125 ( 8 unt; 113 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 186 ( 104 >; 82 *; 0 +; 0 <<)
% Number of predicates : 67 ( 66 usr; 1 prp; 0-4 aty)
% Number of functors : 47 ( 47 usr; 9 con; 0-5 aty)
% Number of variables : 18 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tc_nat: $i ).
tff(decl_23,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_24,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_26,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
c_Suc: $i > $i ).
tff(decl_29,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_30,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
tc_bool: $i ).
tff(decl_33,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_34,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_36,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_38,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_39,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_40,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_43,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_44,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_45,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_46,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_47,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_48,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_49,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_50,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(decl_51,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_52,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_53,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_54,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_55,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_56,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_57,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_59,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_60,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_63,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_64,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_67,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_68,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_69,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_70,type,
c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_72,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_73,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_74,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_75,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(decl_76,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_77,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_78,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_79,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_80,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_81,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_82,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_83,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_84,type,
hBOOL: $i > $o ).
tff(decl_85,type,
c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1: $i > $i ).
tff(decl_86,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_87,type,
c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_89,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_90,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(decl_92,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_93,type,
c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1: ( $i * $i ) > $i ).
tff(decl_94,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_95,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_96,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_97,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_98,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_99,type,
c_Inductive_Ocomplete__lattice__class_Ogfp: ( $i * $i ) > $i ).
tff(decl_100,type,
class_Orderings_Otop: $i > $o ).
tff(decl_101,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_102,type,
c_SetInterval_Oord__class_OatLeast: ( $i * $i ) > $i ).
tff(decl_103,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_104,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_105,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_106,type,
class_Orderings_Obot: $i > $o ).
tff(decl_107,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_108,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_109,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_110,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_111,type,
class_HOL_Oord: $i > $o ).
tff(decl_112,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_113,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_114,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_115,type,
c_ATP__Linkup_Osko__Set__Ximage__cong__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1: $i > $i ).
tff(decl_117,type,
c_ATP__Linkup_Osko__Set__XimageE__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_118,type,
c_ATP__Linkup_Osko__Set__Ximage__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_119,type,
c_ATP__Linkup_Osko__Nat__XSuc__le__D__1__1: $i > $i ).
tff(decl_120,type,
c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1: ( $i * $i ) > $i ).
tff(decl_121,type,
c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_122,type,
c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1: ( $i * $i ) > $i ).
tff(decl_123,type,
c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_126,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_127,type,
v_U: $i ).
tff(decl_128,type,
tc_Com_Opname: $i ).
tff(decl_129,type,
v_G: $i ).
tff(decl_130,type,
v_mgt__call: $i ).
tff(decl_131,type,
t_a: $i ).
tff(decl_132,type,
v_na: $i ).
tff(decl_133,type,
v_pn: $i ).
tff(decl_134,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_insert__subset_2,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_rev__image__eqI_0,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_0_5,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
cls_conjecture_6 ).
cnf(c_0_6,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_insert__subset_2 ).
cnf(c_0_7,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
cls_conjecture_1 ).
cnf(c_0_8,negated_conjecture,
~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).
cnf(c_0_9,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
cls_rev__image__eqI_0 ).
cnf(c_0_10,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
cls_conjecture_4 ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV884-1 : 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
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 03:24:16 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.53/0.93 % Version : CSE_E---1.5
% 0.53/0.93 % Problem : theBenchmark.p
% 0.53/0.93 % Proof found
% 0.53/0.93 % SZS status Theorem for theBenchmark.p
% 0.53/0.93 % SZS output start Proof
% See solution above
% 0.53/0.94 % Total time : 0.335000 s
% 0.53/0.94 % SZS output end Proof
% 0.53/0.94 % Total time : 0.365000 s
%------------------------------------------------------------------------------