TSTP Solution File: SWV856-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV856-1 : 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 : n031.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 21:48:24 EDT 2023
% Result : Unsatisfiable 0.20s 0.68s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 83
% Syntax : Number of formulae : 86 ( 5 unt; 81 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 : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 185 ( 75 >; 110 *; 0 +; 0 <<)
% Number of predicates : 33 ( 32 usr; 1 prp; 0-9 aty)
% Number of functors : 49 ( 49 usr; 6 con; 0-6 aty)
% Number of variables : 4 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_23,type,
tc_bool: $i ).
tff(decl_24,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_25,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_27,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_28,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_30,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_31,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
c_in: $i > $i ).
tff(decl_33,type,
hBOOL: $i > $o ).
tff(decl_34,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i * $i ) > $o ).
tff(decl_36,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_37,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_38,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_39,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
c_Finite__Set_Ofold__image: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_43,type,
c_OrderedGroup_Oab__semigroup__mult: ( $i * $i ) > $o ).
tff(decl_44,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_45,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i ).
tff(decl_46,type,
c_Finite__Set_Ofold: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
c_Collect: ( $i * $i ) > $i ).
tff(decl_49,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_50,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_51,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(decl_52,type,
c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1: ( $i * $i ) > $i ).
tff(decl_53,type,
c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2: ( $i * $i ) > $i ).
tff(decl_54,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
t_a: $i ).
tff(decl_56,type,
v_x: $i ).
tff(decl_57,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_61,type,
c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
c_Suc: $i > $i ).
tff(decl_64,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_65,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_66,type,
c_Fun_Oid: $i > $i ).
tff(decl_67,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_68,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_69,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_71,type,
class_HOL_Oord: $i > $o ).
tff(decl_72,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_73,type,
c_Finite__Set_Olinorder__class_OMax: ( $i * $i ) > $i ).
tff(decl_74,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_75,type,
c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(decl_77,type,
class_Orderings_Otop: $i > $o ).
tff(decl_78,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_79,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
c_Fun_Ofcomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
class_HOL_Ominus: $i > $o ).
tff(decl_82,type,
c_fequal: $i > $i ).
tff(decl_83,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_84,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_85,type,
c_Wellfounded_Omax__extp: ( $i * $i * $i * $i ) > $o ).
tff(decl_86,type,
c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_88,type,
class_Orderings_Obot: $i > $o ).
tff(decl_89,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(decl_90,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(decl_91,type,
c_Hoare__Mirabelle_Otriple__valid: ( $i * $i * $i ) > $o ).
tff(decl_92,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__1: ( $i * $i ) > $i ).
tff(decl_93,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(decl_94,type,
v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1: ( $i * $i ) > $i ).
tff(decl_95,type,
v_sko__Hoare__Mirabelle__Xhoare__valids__def__2: ( $i * $i ) > $i ).
tff(decl_96,type,
c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1: ( $i * $i ) > $i ).
tff(decl_97,type,
c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1: ( $i * $i ) > $i ).
tff(decl_98,type,
c_ATP__Linkup_Osko__Set__Xequals0I__1__1: ( $i * $i ) > $i ).
tff(decl_99,type,
v_xa: $i ).
tff(decl_100,type,
v_Ga: $i ).
tff(decl_101,type,
tc_nat: $i ).
tff(decl_102,type,
tc_Option_Ooption: $i > $i ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_ex__in__conv_0,axiom,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
cnf(c_0_2,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
cls_conjecture_0 ).
cnf(c_0_3,axiom,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
cls_ex__in__conv_0 ).
cnf(c_0_4,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_2,c_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV856-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 09:26:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.63 start to proof: theBenchmark
% 0.20/0.68 % Version : CSE_E---1.5
% 0.20/0.68 % Problem : theBenchmark.p
% 0.20/0.68 % Proof found
% 0.20/0.68 % SZS status Theorem for theBenchmark.p
% 0.20/0.68 % SZS output start Proof
% See solution above
% 0.20/0.69 % Total time : 0.033000 s
% 0.20/0.69 % SZS output end Proof
% 0.20/0.69 % Total time : 0.045000 s
%------------------------------------------------------------------------------