TSTP Solution File: SWV898-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV898-1 : 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 : n021.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 21:48:33 EDT 2023
% Result : Unsatisfiable 0.59s 0.70s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 87
% Syntax : Number of formulae : 91 ( 5 unt; 84 typ; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 174 ( 73 >; 101 *; 0 +; 0 <<)
% Number of predicates : 34 ( 33 usr; 3 prp; 0-5 aty)
% Number of functors : 51 ( 51 usr; 9 con; 0-6 aty)
% Number of variables : 8 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tc_bool: $i ).
tff(decl_23,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_24,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_27,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_29,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_31,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_32,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_33,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_35,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(decl_36,type,
c_SetInterval_Oord__class_OatLeast: ( $i * $i ) > $i ).
tff(decl_37,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_38,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_40,type,
c_SetInterval_Oord__class_OatMost: ( $i * $i ) > $i ).
tff(decl_41,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_42,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_43,type,
c_Map_Odom: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_45,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_46,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_47,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(decl_48,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_49,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
c_COMBI: $i > $i ).
tff(decl_51,type,
hBOOL: $i > $o ).
tff(decl_52,type,
c_SetInterval_Oord__class_OgreaterThan: ( $i * $i ) > $i ).
tff(decl_53,type,
c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
c_Fun_Oid: $i > $i ).
tff(decl_55,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_57,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
c_Fun_Osurj: ( $i * $i * $i ) > $o ).
tff(decl_59,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_60,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
c_Fun_Obij: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
c_Inductive_Ocomplete__lattice__class_Ogfp: ( $i * $i ) > $i ).
tff(decl_63,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_64,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_65,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_66,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_67,type,
c_Fun_Obij__betw: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_68,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_69,type,
c_Com_Ocom_OBODY: $i ).
tff(decl_70,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_71,type,
c_Hoare__Mirabelle_OMGT: $i ).
tff(decl_72,type,
tc_Com_Ostate: $i ).
tff(decl_73,type,
tc_Com_Ocom: $i ).
tff(decl_74,type,
c_Option_Othe: $i > $i ).
tff(decl_75,type,
c_Com_Obody: $i ).
tff(decl_76,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_77,type,
c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).
tff(decl_78,type,
class_HOL_Oord: $i > $o ).
tff(decl_79,type,
c_Com_OWT: $i > $o ).
tff(decl_80,type,
v_sko__Hoare__Mirabelle__XMGF__lemma1__1: $i > $i ).
tff(decl_81,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
tff(decl_82,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(decl_83,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_84,type,
class_Orderings_Otop: $i > $o ).
tff(decl_85,type,
class_Orderings_Obot: $i > $o ).
tff(decl_86,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_87,type,
c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
c_ATP__Linkup_Osko__Set__Ximage__cong__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(decl_90,type,
c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
tc_Com_Opname: $i ).
tff(decl_92,type,
c_Com_OWT__bodies: $o ).
tff(decl_93,type,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).
tff(decl_94,type,
c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
c_Map_Omap__of: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
tc_Option_Ooption: $i > $i ).
tff(decl_100,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_102,type,
v_F: $i ).
tff(decl_103,type,
tc_nat: $i ).
tff(decl_104,type,
c_COMBC: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_finite__imageI_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
cnf(cls_finite__dom__body_0,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).
cnf(c_0_3,negated_conjecture,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
cls_conjecture_3 ).
cnf(c_0_4,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__imageI_0 ).
cnf(c_0_5,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
cls_finite__dom__body_0 ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV898-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.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 06:16:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.49/0.61 start to proof: theBenchmark
% 0.59/0.70 % Version : CSE_E---1.5
% 0.59/0.70 % Problem : theBenchmark.p
% 0.59/0.70 % Proof found
% 0.59/0.70 % SZS status Theorem for theBenchmark.p
% 0.59/0.70 % SZS output start Proof
% See solution above
% 0.59/0.71 % Total time : 0.062000 s
% 0.59/0.71 % SZS output end Proof
% 0.59/0.71 % Total time : 0.081000 s
%------------------------------------------------------------------------------