%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP299_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:32 AM UTC 2026
% Result : Theorem 8.33s 2.24s
% Output : Refutation 8.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 11 unt; 0 typ; 1 def)
% Number of atoms : 19 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 103 ( 101 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 75 ( 73 usr; 1 prp; 0-3 aty)
% Number of functors : 324 ( 324 usr; 27 con; 0-7 aty)
% Number of variables : 3 ( 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'ZF_ZF_Language_set$': $tType ).
tff(type_def_6,type,
'ZF_ZF_Language_ZF_ZF_Language_Language_set$': $tType ).
tff(type_def_7,type,
'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$': $tType ).
tff(type_def_8,type,
'ZF_set$': $tType ).
tff(type_def_9,type,
'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$': $tType ).
tff(type_def_10,type,
'Unit_unit_fun$': $tType ).
tff(type_def_11,type,
'ZF_ZF_ZF_Expression_Expression$': $tType ).
tff(type_def_12,type,
'ZF_ZF_Language_ZF_Language_set$': $tType ).
tff(type_def_13,type,
'ZF_ZF_ZF_Language_unit_Axioms_ext$': $tType ).
tff(type_def_14,type,
'ZF_ZF_prod_set$': $tType ).
tff(type_def_15,type,
'ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$': $tType ).
tff(type_def_16,type,
'ZF_ZF_Expression_nat_fun$': $tType ).
tff(type_def_17,type,
'ZF_set_ZF_set_fun$': $tType ).
tff(type_def_18,type,
'ZF_ZF_Expression_ZF_Language$': $tType ).
tff(type_def_19,type,
'ZF_ZF_unit_TermEquivClT_ext_bool_fun$': $tType ).
tff(type_def_20,type,
'ZF_ZF_prod_ZF_fun$': $tType ).
tff(type_def_21,type,
'ZF_ZF_Language_ZF_ZF_Language_Language_bool_fun$': $tType ).
tff(type_def_22,type,
'ZF_ZF_Expression_ZF_unit_Axioms_ext$': $tType ).
tff(type_def_23,type,
'ZF_ZF_Expression_ZF_ZF_Language_fun$': $tType ).
tff(type_def_24,type,
'ZF_ZF_Language_ZF_Language_bool_fun$': $tType ).
tff(type_def_25,type,
'ZF_ZF_Expression$': $tType ).
tff(type_def_26,type,
'ZF_ZF_IType$': $tType ).
tff(type_def_27,type,
'ZF_ZF_ZF_Expression_Language_set$': $tType ).
tff(type_def_28,type,
'ZF_ZF_Language_ZF_ZF_Expression_Expression$': $tType ).
tff(type_def_29,type,
'ZF_ZF_prod$': $tType ).
tff(type_def_30,type,
'ZF_ZF_Language$': $tType ).
tff(type_def_31,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_ZF_ZF_IType_fun$': $tType ).
tff(type_def_32,type,
'ZF_ZF_ZF_fun_fun$': $tType ).
tff(type_def_33,type,
'ZF_ZF_ZF_Language_Expression$': $tType ).
tff(type_def_34,type,
'ZF_ZF_ZF_Expression_unit_Axioms_ext$': $tType ).
tff(type_def_35,type,
'ZF_ZF_ZF_ZF_unit_Interpretation_ext$': $tType ).
tff(type_def_36,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$': $tType ).
tff(type_def_37,type,
'ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$': $tType ).
tff(type_def_38,type,
'Nat$': $tType ).
tff(type_def_39,type,
'ZF_ZF_ZF_Language_fun$': $tType ).
tff(type_def_40,type,
'ZF_ZF_Language_ZF_Expression$': $tType ).
tff(type_def_41,type,
'ZF_ZF_Language_ZF_unit_Signature_ext$': $tType ).
tff(type_def_42,type,
'ZF_ZF_Language_ZF_ZF_Language_Expression$': $tType ).
tff(type_def_43,type,
'ZF_ZF_prod_ZF_fun_set$': $tType ).
tff(type_def_44,type,
'ZF_ZF_fun$': $tType ).
tff(type_def_45,type,
'ZF_ZF_prod_bool_fun$': $tType ).
tff(type_def_46,type,
'ZF_ZF_Expression_ZF_unit_Signature_ext$': $tType ).
tff(type_def_47,type,
'ZF_ZF_fun_set$': $tType ).
tff(type_def_48,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_set$': $tType ).
tff(type_def_49,type,
'ZF_ZF_ZF_Expression_Language$': $tType ).
tff(type_def_50,type,
'ZF_ZF_ZF_Expression_Language_bool_fun$': $tType ).
tff(type_def_51,type,
'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$': $tType ).
tff(type_def_52,type,
'ZF_ZF_Language_set_ZF_ZF_Language_set_fun$': $tType ).
tff(type_def_53,type,
'ZF_ZF_unit_Signature_ext$': $tType ).
tff(type_def_54,type,
'ZF_ZF_ZF_Language_Language_bool_fun$': $tType ).
tff(type_def_55,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression$': $tType ).
tff(type_def_56,type,
'ZF_ZF_IType_ZF_ZF_IType_bool_fun_fun$': $tType ).
tff(type_def_57,type,
'ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$': $tType ).
tff(type_def_58,type,
tlbool: $tType ).
tff(type_def_59,type,
'ZF_ZF_Expression_ZF_fun$': $tType ).
tff(type_def_60,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_set$': $tType ).
tff(type_def_61,type,
'ZF_ZF_Expression_bool_fun$': $tType ).
tff(type_def_62,type,
'ZF_ZF_fun_ZF_ZF_fun_fun$': $tType ).
tff(type_def_63,type,
'ZF_ZF_Language_ZF_ZF_Language_Language$': $tType ).
tff(type_def_64,type,
'ZF_ZF_unit_TermEquivClT_ext_set$': $tType ).
tff(type_def_65,type,
'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$': $tType ).
tff(type_def_66,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_ZF_ZF_Language_fun$': $tType ).
tff(type_def_67,type,
'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$': $tType ).
tff(type_def_68,type,
'ZF_ZF_Language_ZF_fun$': $tType ).
tff(type_def_69,type,
'ZF_ZF_fun_ZF_unit_Signature_ext$': $tType ).
tff(type_def_70,type,
'ZF_ZF_ZF_Expression_unit_Signature_ext$': $tType ).
tff(type_def_71,type,
'ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$': $tType ).
tff(type_def_72,type,
'ZF_ZF_unit_TermEquivClT_ext$': $tType ).
tff(type_def_73,type,
'ZF_ZF_Expression_ZF_Language_set$': $tType ).
tff(type_def_74,type,
'ZF_ZF_IType_bool_fun$': $tType ).
tff(type_def_75,type,
'ZF_ZF_unit_Category_ext$': $tType ).
tff(type_def_76,type,
'ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$': $tType ).
tff(type_def_77,type,
'ZF_ZF_fun_bool_fun$': $tType ).
tff(type_def_78,type,
'ZF_ZF_Language_bool_fun$': $tType ).
tff(type_def_79,type,
'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$': $tType ).
tff(type_def_80,type,
'ZF_ZF_Language_ZF_ZF_Language_fun$': $tType ).
tff(type_def_81,type,
'ZF_ZF_Language_ZF_Language$': $tType ).
tff(type_def_82,type,
'ZF_ZF_Language_ZF_ZF_Expression_Language$': $tType ).
tff(type_def_83,type,
'ZF_ZF_unit_Axioms_ext$': $tType ).
tff(type_def_84,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language$': $tType ).
tff(type_def_85,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_set$': $tType ).
tff(type_def_86,type,
'ZF_ZF_ZF_Language_Language_set$': $tType ).
tff(type_def_87,type,
'ZF_bool_fun$': $tType ).
tff(type_def_88,type,
'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$': $tType ).
tff(type_def_89,type,
'ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$': $tType ).
tff(type_def_90,type,
'ZF_nat_fun$': $tType ).
tff(type_def_91,type,
'ZF_ZF_Expression_ZF_Expression$': $tType ).
tff(type_def_92,type,
'ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$': $tType ).
tff(type_def_93,type,
'Unit$': $tType ).
tff(type_def_94,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType$': $tType ).
tff(type_def_95,type,
'ZF$': $tType ).
tff(type_def_96,type,
'ZF_ZF_Language_ZF_unit_Axioms_ext$': $tType ).
tff(type_def_97,type,
'ZF_ZF_Expression_set$': $tType ).
tff(type_def_98,type,
'ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$': $tType ).
tff(type_def_99,type,
'ZF_ZF_ZF_Language_unit_Signature_ext$': $tType ).
tff(type_def_100,type,
'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$': $tType ).
tff(type_def_101,type,
'ZF_ZF_Expression_ZF_ZF_Expression_fun$': $tType ).
tff(type_def_102,type,
'ZF_ZF_ZF_Language_Language$': $tType ).
tff(type_def_103,type,
'ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$': $tType ).
tff(type_def_104,type,
'ZF_ZF_bool_fun_fun$': $tType ).
tff(type_def_105,type,
'ZF_ZF_prod_ZF_fun_bool_fun$': $tType ).
tff(func_def_0,type,
'more$b': 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).
tff(func_def_1,type,
'top$c': 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_set$' ).
tff(func_def_2,type,
'aSignature$b': 'ZF_ZF_Language_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_ZF_unit_Signature_ext$' ).
tff(func_def_3,type,
'size$b': 'ZF_ZF_Expression$' > 'Nat$' ).
tff(func_def_4,type,
'collect$c': 'ZF_ZF_Language_bool_fun$' > 'ZF_ZF_Language_set$' ).
tff(func_def_5,type,
'iTypes$d': 'ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_6,type,
'uu$': 'ZF_ZF_fun_set$' > 'ZF_ZF_fun_bool_fun$' ).
tff(func_def_7,type,
'uur$': 'ZF_ZF_ZF_Expression_unit_Axioms_ext$' > 'ZF_ZF_ZF_Expression_Language_bool_fun$' ).
tff(func_def_8,type,
'baseTypes$e': 'ZF_ZF_unit_Signature_ext$' > 'ZF_set$' ).
tff(func_def_9,type,
'baseFunctions$e': 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_set$' ).
tff(func_def_10,type,
'wellDefined$': 'ZF_ZF_unit_Signature_ext$' > 'ZF_ZF_Language_bool_fun$' ).
tff(func_def_11,type,
'collect$': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod_set$' ).
tff(func_def_12,type,
'equation$c': ( 'ZF$' * 'ZF_ZF_ZF_Language_Expression$' * 'ZF_ZF_ZF_Language_Expression$' * 'ZF$' ) > 'ZF_ZF_ZF_Language_Language$' ).
tff(func_def_13,type,
'type$c': 'ZF$' > 'ZF_ZF_ZF_Language_Language$' ).
tff(func_def_14,type,
'baseFunctions_update$e': 'ZF_set_ZF_set_fun$' > 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ).
tff(func_def_15,type,
'compDefined$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_16,type,
'case_prod$': 'ZF_ZF_ZF_fun_fun$' > 'ZF_ZF_prod_ZF_fun$' ).
tff(func_def_17,type,
'sigDom$h': ( 'ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression$' ).
tff(func_def_18,type,
'uup$': 'ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$' > 'ZF_ZF_Language_ZF_ZF_Language_Language_bool_fun$' ).
tff(func_def_19,type,
'exprApp$b': ( 'ZF_ZF_Language$' * 'ZF_ZF_ZF_Language_Expression$' ) > 'ZF_ZF_ZF_Language_Expression$' ).
tff(func_def_20,type,
'termEquivClGen$': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF_ZF_Expression$' * 'ZF$' ) > 'ZF_ZF_Expression_set$' ).
tff(func_def_21,type,
'aSignature$c': 'ZF_ZF_ZF_Expression_unit_Axioms_ext$' > 'ZF_ZF_ZF_Expression_unit_Signature_ext$' ).
tff(func_def_22,type,
'baseTypes$a': 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_set$' ).
tff(func_def_23,type,
'fun_app$j': ( 'ZF_ZF_IType_ZF_ZF_IType_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF_ZF_IType_bool_fun$' ).
tff(func_def_24,type,
'funsignature_abbrev$a': ( 'ZF_ZF_Language$' * 'ZF_ZF_ZF_Language_unit_Signature_ext$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_25,type,
'exprApp$c': ( 'ZF$' * 'ZF_ZF_Expression_ZF_Expression$' ) > 'ZF_ZF_Expression_ZF_Expression$' ).
tff(func_def_26,type,
'fun_app$ab': ( 'ZF_ZF_Language_ZF_ZF_Language_fun$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language$' ).
tff(func_def_27,type,
'size$a': 'ZF_ZF_Language$' > 'Nat$' ).
tff(func_def_28,type,
'more_update$a': ( 'Unit_unit_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).
tff(func_def_29,type,
'inverse_rel$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_30,type,
'obj_update$': 'ZF_set_ZF_set_fun$' > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).
tff(func_def_31,type,
'fun_app$aj': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_ZF_ZF_IType_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType$' ) > 'ZF_ZF_IType$' ).
tff(func_def_32,type,
'collect$h': 'ZF_ZF_Language_ZF_Language_bool_fun$' > 'ZF_ZF_Language_ZF_Language_set$' ).
tff(func_def_33,type,
'more$h': 'ZF_ZF_unit_Signature_ext$' > 'Unit$' ).
tff(func_def_34,type,
'fun_app$v': ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language$' ) > 'ZF$' ).
tff(func_def_35,type,
'category_ext$': ( 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' * 'Unit$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_36,type,
'subst$b': ( 'ZF_ZF_ZF_Language_Expression$' * 'ZF_ZF_ZF_Language_Expression$' ) > 'ZF_ZF_ZF_Language_Expression$' ).
tff(func_def_37,type,
'fun_app$x': ( 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_38,type,
'baseFunctions_update$b': ( 'ZF_set_ZF_set_fun$' * 'ZF_ZF_Language_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Language_ZF_unit_Signature_ext$' ).
tff(func_def_39,type,
'size_Expression$': ( 'ZF_nat_fun$' * 'ZF_nat_fun$' ) > 'ZF_ZF_Expression_nat_fun$' ).
tff(func_def_40,type,
'theory$b': 'ZF_ZF_ZF_Language_unit_Axioms_ext$' > 'ZF_ZF_ZF_Language_Language_set$' ).
tff(func_def_41,type,
'size$': 'ZF_ZF_IType$' > 'Nat$' ).
tff(func_def_42,type,
'type$d': 'ZF_ZF_Expression$' > 'ZF_ZF_Expression_ZF_Language$' ).
tff(func_def_43,type,
'uul$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_bool_fun$' ).
tff(func_def_44,type,
'iFunctions$a': 'ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Expression_ZF_fun$' ).
tff(func_def_45,type,
'equation$d': ( 'ZF$' * 'ZF_ZF_Expression$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_ZF_Language_fun$' ).
tff(func_def_46,type,
'axioms_ext$': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_unit_Signature_ext$' * 'Unit$' ) > 'ZF_ZF_unit_Axioms_ext$' ).
tff(func_def_47,type,
'canonicalComp$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_48,type,
'tCodomain_update$': ( 'ZF_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).
tff(func_def_49,type,
'iSignature$a': 'ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' ).
tff(func_def_50,type,
def_1: ( 'ZF$' * 'ZF$' ) > tlbool ).
tff(func_def_51,type,
'iCategory$': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_52,type,
'iTypes$b': 'ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Language_ZF_fun$' ).
tff(func_def_53,type,
'subst$': 'ZF_ZF_Expression$' > 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' ).
tff(func_def_54,type,
'baseFunctions$a': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_set$' ).
tff(func_def_55,type,
'comp_update$': 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).
tff(func_def_56,type,
'uue$': 'ZF_ZF_Expression_set$' > 'ZF_ZF_Expression_bool_fun$' ).
tff(func_def_57,type,
'iSignature$': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Signature_ext$' ).
tff(func_def_58,type,
'theory$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_set$' ).
tff(func_def_59,type,
'aAxioms$c': 'ZF_ZF_Expression_ZF_unit_Axioms_ext$' > 'ZF_ZF_Expression_ZF_Language_set$' ).
tff(func_def_60,type,
'rel_IType$': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF_ZF_IType_ZF_ZF_IType_bool_fun_fun$' ).
tff(func_def_61,type,
'signature_ext$c': ( 'ZF_set$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_fun$' * 'Unit$' ) > 'ZF_ZF_ZF_Expression_unit_Signature_ext$' ).
tff(func_def_62,type,
'baseTypes$f': 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF_ZF_Expression_set$' ).
tff(func_def_63,type,
'baseFunctions$d': 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF_set$' ).
tff(func_def_64,type,
'more$g': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'Unit$' ).
tff(func_def_65,type,
'more$e': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'Unit$' ).
tff(func_def_66,type,
'unity$': 'Unit$' ).
tff(func_def_67,type,
'sigCod$b': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_ZF_fun$' ).
tff(func_def_68,type,
'iTypes$e': 'ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_69,type,
'exprApp$d': ( 'ZF$' * 'ZF_ZF_Language_ZF_Expression$' ) > 'ZF_ZF_Language_ZF_Expression$' ).
tff(func_def_70,type,
'collect$j': 'ZF_ZF_ZF_Language_Language_bool_fun$' > 'ZF_ZF_ZF_Language_Language_set$' ).
tff(func_def_71,type,
'comp$a': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_72,type,
'sigDom$d': ( 'ZF_ZF_Expression_ZF_unit_Signature_ext$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).
tff(func_def_73,type,
'sigDom$': 'ZF_ZF_unit_Signature_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_74,type,
'funsignature_abbrev$b': ( 'ZF$' * 'ZF_ZF_Expression_ZF_unit_Signature_ext$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression_bool_fun$' ).
tff(func_def_75,type,
'map_IType$a': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_IType$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType$' ).
tff(func_def_76,type,
'iObj$': 'ZF$' > 'ZF_ZF_IType$' ).
tff(func_def_77,type,
'iFunctions$b': 'ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Language_ZF_fun$' ).
tff(func_def_78,type,
'iTypes$f': 'ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Expression_ZF_fun$' ).
tff(func_def_79,type,
'sigCod$a': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_ZF_fun$' ).
tff(func_def_80,type,
'iFunctions$c': 'ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Language_ZF_fun$' ).
tff(func_def_81,type,
'term$b': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_ZF_ZF_Language_Expression$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_ZF_ZF_Language_Language$' ).
tff(func_def_82,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_83,type,
'exprVar$': 'ZF_ZF_Expression$' ).
tff(func_def_84,type,
'tDomain_update$': ( 'ZF_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).
tff(func_def_85,type,
'uuz$': 'ZF_nat_fun$' ).
tff(func_def_86,type,
'sigCod$e': 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_ZF_ZF_Language_fun$' ).
tff(func_def_87,type,
'dom$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_88,type,
'exprApp$f': ( 'ZF_ZF_Expression$' * 'ZF_ZF_ZF_Expression_Expression$' ) > 'ZF_ZF_ZF_Expression_Expression$' ).
tff(func_def_89,type,
'canonicalCat$a': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_90,type,
'baseTypes$i': 'ZF_ZF_fun_ZF_unit_Signature_ext$' > 'ZF_ZF_fun_set$' ).
tff(func_def_91,type,
'fun_app$t': ( 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression$' ).
tff(func_def_92,type,
'uui$': 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_93,type,
'top$a': 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_set$' ).
tff(func_def_94,type,
'sigDom_update$': 'ZF_ZF_fun_ZF_ZF_fun_fun$' > 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ).
tff(func_def_95,type,
'iSignature$f': 'ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Expression_ZF_unit_Signature_ext$' ).
tff(func_def_96,type,
'sigCod$f': ( 'ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).
tff(func_def_97,type,
'iCategory$d': 'ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_98,type,
'iCategory$a': 'ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_99,type,
'map_Language$': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_ZF_ZF_Language_fun$' ).
tff(func_def_100,type,
'iBool$': tlbool > 'ZF_ZF_IType$' ).
tff(func_def_101,type,
'sigCod$c': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF_ZF_ZF_Language_fun$' ).
tff(func_def_102,type,
'sigDom$a': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_ZF_fun$' ).
tff(func_def_103,type,
'signature_ext$': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_ZF_Language_fun$' * 'ZF_ZF_Expression_ZF_ZF_Language_fun$' * 'Unit$' ) > 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' ).
tff(func_def_104,type,
'baseFunctions_update$c': ( 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_ZF_Expression_unit_Signature_ext$' ) > 'ZF_ZF_ZF_Expression_unit_Signature_ext$' ).
tff(func_def_105,type,
'term$d': ( 'ZF$' * 'ZF_ZF_ZF_Expression_Expression$' * 'ZF$' ) > 'ZF_ZF_ZF_Expression_Language$' ).
tff(func_def_106,type,
'uuo$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_107,type,
def_4: ( 'ZF$' * 'ZF$' ) > tlbool ).
tff(func_def_108,type,
'iFunctions_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).
tff(func_def_109,type,
'iCategory$f': 'ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_110,type,
'fun_app$ad': ( 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression_set$' ).
tff(func_def_111,type,
'baseTypes$g': 'ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Expression_set$' ).
tff(func_def_112,type,
'aAxioms$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_set$' ).
tff(func_def_113,type,
def_3: ( 'ZF$' * 'ZF$' ) > tlbool ).
tff(func_def_114,type,
'funsignature_abbrev$g': ( 'ZF_ZF_Language$' * 'ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression_bool_fun$' ).
tff(func_def_115,type,
'fun_app$l': ( 'ZF_ZF_ZF_Language_fun$' * 'ZF$' ) > 'ZF_ZF_Language$' ).
tff(func_def_116,type,
'uuj$': 'ZF_ZF_IType_ZF_ZF_IType_bool_fun_fun$' ).
tff(func_def_117,type,
'fun_app$m': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).
tff(func_def_118,type,
'subst$c': ( 'ZF_ZF_Expression_ZF_Expression$' * 'ZF_ZF_Expression_ZF_Expression$' ) > 'ZF_ZF_Expression_ZF_Expression$' ).
tff(func_def_119,type,
'collect$d': 'ZF_bool_fun$' > 'ZF_set$' ).
tff(func_def_120,type,
'iCategory$b': 'ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_121,type,
'uuf$': 'ZF_ZF_unit_TermEquivClT_ext_set$' > 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' ).
tff(func_def_122,type,
tltrue: tlbool ).
tff(func_def_123,type,
'map_Language$a': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language$' ).
tff(func_def_124,type,
'more$i': 'ZF_ZF_unit_TermEquivClT_ext$' > 'Unit$' ).
tff(func_def_125,type,
'termEquivCl$a': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ).
tff(func_def_126,type,
'uuu$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_127,type,
'map_Expression$a': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$' ).
tff(func_def_128,type,
'fun_app$r': ( 'ZF_ZF_ZF_fun_fun$' * 'ZF$' ) > 'ZF_ZF_fun$' ).
tff(func_def_129,type,
'baseFunctions$c': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF_set$' ).
tff(func_def_130,type,
'uus$': 'ZF_ZF_ZF_Language_unit_Axioms_ext$' > 'ZF_ZF_ZF_Language_Language_bool_fun$' ).
tff(func_def_131,type,
'uub$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_132,type,
'wellFormedToSet$': ( 'ZF_ZF_unit_Signature_ext$' * 'Nat$' ) > 'ZF_ZF_Expression_set$' ).
tff(func_def_133,type,
'collect$b': 'ZF_ZF_prod_ZF_fun_bool_fun$' > 'ZF_ZF_prod_ZF_fun_set$' ).
tff(func_def_134,type,
'uux$': ( 'ZF_ZF_unit_Signature_ext$' * 'Nat$' ) > 'ZF_ZF_Expression_bool_fun$' ).
tff(func_def_135,type,
'aSignature$e': 'ZF_ZF_Expression_ZF_unit_Axioms_ext$' > 'ZF_ZF_Expression_ZF_unit_Signature_ext$' ).
tff(func_def_136,type,
'type$f': 'ZF_ZF_ZF_Language_fun$' ).
tff(func_def_137,type,
'baseFunctions$g': 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_set$' ).
tff(func_def_138,type,
'funsignature_abbrev$i': ( 'ZF$' * 'ZF_ZF_fun_ZF_unit_Signature_ext$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun_bool_fun$' ).
tff(func_def_139,type,
'term$f': ( 'ZF_ZF_Expression$' * 'ZF_ZF_Expression_ZF_Expression$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression_ZF_Language$' ).
tff(func_def_140,type,
'aAxioms$a': 'ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$' > 'ZF_ZF_Language_ZF_ZF_Language_Language_set$' ).
tff(func_def_141,type,
'fun_app$s': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_142,type,
'iTypes_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).
tff(func_def_143,type,
'equation$': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_ZF_ZF_Language_Expression$' * 'ZF_ZF_Language_ZF_ZF_Language_Expression$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_ZF_ZF_Language_Language$' ).
tff(func_def_144,type,
'more$f': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'Unit$' ).
tff(func_def_145,type,
'aSignature$d': 'ZF_ZF_ZF_Language_unit_Axioms_ext$' > 'ZF_ZF_ZF_Language_unit_Signature_ext$' ).
tff(func_def_146,type,
'iCategory_update$': ( 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).
tff(func_def_147,type,
'size_Language$': ( 'ZF_nat_fun$' * 'ZF_nat_fun$' * 'ZF_ZF_Language$' ) > 'Nat$' ).
tff(func_def_148,type,
'the$': 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_149,type,
'more$c': 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' > 'Unit$' ).
tff(func_def_150,type,
'aAxioms$e': 'ZF_ZF_ZF_Expression_unit_Axioms_ext$' > 'ZF_ZF_ZF_Expression_Language_set$' ).
tff(func_def_151,type,
'iTypes$a': 'ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Language_ZF_fun$' ).
tff(func_def_152,type,
'sigDom$f': ( 'ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).
tff(func_def_153,type,
'aAxioms_update$': ( 'ZF_ZF_Language_set_ZF_ZF_Language_set_fun$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_unit_Axioms_ext$' ).
tff(func_def_154,type,
'iTypes$c': 'ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Language_ZF_fun$' ).
tff(func_def_155,type,
'theoryp$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_bool_fun$' ).
tff(func_def_156,type,
'map_Language$b': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_Language_ZF_ZF_Language_fun$' ).
tff(func_def_157,type,
'uuq$': 'ZF_ZF_Language_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_ZF_Language_bool_fun$' ).
tff(func_def_158,type,
'baseTypes_update$': 'ZF_set_ZF_set_fun$' > 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ).
tff(func_def_159,type,
'inv_into$': ( 'ZF_ZF_unit_TermEquivClT_ext_set$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ) > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ).
tff(func_def_160,type,
def_2: ( 'ZF$' * 'ZF$' ) > tlbool ).
tff(func_def_161,type,
'baseFunctions_update$': ( 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' ) > 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' ).
tff(func_def_162,type,
'interpretation_ext$': ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'Unit$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).
tff(func_def_163,type,
'uua$': 'ZF_ZF_prod_ZF_fun_set$' > 'ZF_ZF_prod_ZF_fun_bool_fun$' ).
tff(func_def_164,type,
'sigDom$i': 'ZF_ZF_fun_ZF_unit_Signature_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_165,type,
'collect$f': 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' > 'ZF_ZF_unit_TermEquivClT_ext_set$' ).
tff(func_def_166,type,
'exprApp$e': ( 'ZF_ZF_Expression$' * 'ZF_ZF_Language_ZF_ZF_Expression_Expression$' ) > 'ZF_ZF_Language_ZF_ZF_Expression_Expression$' ).
tff(func_def_167,type,
'baseFunctions$b': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_set$' ).
tff(func_def_168,type,
'extensional$a': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_ZF_fun_set$' ).
tff(func_def_169,type,
'uuy$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' ).
tff(func_def_170,type,
'funsignature_abbrev$h': ( 'ZF_ZF_Expression$' * 'ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression_bool_fun$' ).
tff(func_def_171,type,
'exprVar$a': 'ZF_ZF_Language_ZF_ZF_Expression_Expression$' ).
tff(func_def_172,type,
'exprVar$b': 'ZF_ZF_Language_ZF_ZF_Language_Expression$' ).
tff(func_def_173,type,
'baseFunctions_update$d': ( 'ZF_ZF_Language_set_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_unit_Signature_ext$' ) > 'ZF_ZF_ZF_Language_unit_Signature_ext$' ).
tff(func_def_174,type,
'sigDom$c': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF_ZF_ZF_Language_fun$' ).
tff(func_def_175,type,
'more_update$': ( 'Unit_unit_fun$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_unit_Axioms_ext$' ).
tff(func_def_176,type,
'exprApp$a': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_ZF_ZF_Language_Expression$' ) > 'ZF_ZF_Language_ZF_ZF_Language_Expression$' ).
tff(func_def_177,type,
'm2ZF$': 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).
tff(func_def_178,type,
'map_Expression$': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' ).
tff(func_def_179,type,
'id$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_180,type,
'exprApp$': ( 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression$' ).
tff(func_def_181,type,
'cLDomain$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_182,type,
'baseFunctions$i': 'ZF_ZF_fun_ZF_unit_Signature_ext$' > 'ZF_set$' ).
tff(func_def_183,type,
'iSignature$b': 'ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' ).
tff(func_def_184,type,
'fun_app$ae': ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_185,type,
'exprVar$d': 'ZF_ZF_ZF_Expression_Expression$' ).
tff(func_def_186,type,
'subst$a': ( 'ZF_ZF_Language_ZF_ZF_Language_Expression$' * 'ZF_ZF_Language_ZF_ZF_Language_Expression$' ) > 'ZF_ZF_Language_ZF_ZF_Language_Expression$' ).
tff(func_def_187,type,
'funsignature_abbrev$c': ( 'ZF$' * 'ZF_ZF_Language_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_bool_fun$' ).
tff(func_def_188,type,
'fun_app$ai': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression$' ) > 'ZF_ZF_Expression$' ).
tff(func_def_189,type,
'fun_app$k': ( 'ZF_ZF_bool_fun_fun$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_190,type,
'iMor$': 'ZF$' > 'ZF_ZF_IType$' ).
tff(func_def_191,type,
'baseTypes$d': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_set$' ).
tff(func_def_192,type,
'equation$f': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_ZF_ZF_Expression_Expression$' * 'ZF_ZF_Language_ZF_ZF_Expression_Expression$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_ZF_ZF_Expression_Language$' ).
tff(func_def_193,type,
'fun_app$ac': ( 'ZF_ZF_Expression_ZF_ZF_Language_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Language$' ).
tff(func_def_194,type,
'termEquivClT_ext$': ( 'ZF$' * 'ZF_ZF_Expression_set$' * 'ZF$' * 'Unit$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).
tff(func_def_195,type,
'theory$d': 'ZF_ZF_Language_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_ZF_Language_set$' ).
tff(func_def_196,type,
'inverse$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_197,type,
'restrict$a': ( 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF_ZF_fun$' ).
tff(func_def_198,type,
'type$': 'ZF_ZF_Language$' > 'ZF_ZF_Language_ZF_ZF_Expression_Language$' ).
tff(func_def_199,type,
'uuv$': 'ZF_ZF_fun$' ).
tff(func_def_200,type,
'theory$a': 'ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$' > 'ZF_ZF_Language_ZF_ZF_Language_Language_set$' ).
tff(func_def_201,type,
'sup$': 'ZF_ZF_Expression_set$' > 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' ).
tff(func_def_202,type,
'term$a': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_ZF_ZF_Expression_Expression$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_ZF_ZF_Expression_Language$' ).
tff(func_def_203,type,
'collect$a': 'ZF_ZF_fun_bool_fun$' > 'ZF_ZF_fun_set$' ).
tff(func_def_204,type,
'uut$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_bool_fun$' ).
tff(func_def_205,type,
'baseTypes$': 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Language_set$' ).
tff(func_def_206,type,
'subst$d': ( 'ZF_ZF_Language_ZF_Expression$' * 'ZF_ZF_Language_ZF_Expression$' ) > 'ZF_ZF_Language_ZF_Expression$' ).
tff(func_def_207,type,
'uuh$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_208,type,
'fun_app$ah': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_ZF_ZF_Language_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language$' ) > 'ZF_ZF_Language$' ).
tff(func_def_209,type,
'theory$c': 'ZF_ZF_Expression_ZF_unit_Axioms_ext$' > 'ZF_ZF_Expression_ZF_Language_set$' ).
tff(func_def_210,type,
'fun_app$af': ( 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_211,type,
'map_IType$b': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_IType$' ) > 'ZF_ZF_IType$' ).
tff(func_def_212,type,
'collect$i': 'ZF_ZF_ZF_Expression_Language_bool_fun$' > 'ZF_ZF_ZF_Expression_Language_set$' ).
tff(func_def_213,type,
'restrict$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' ) > 'ZF_ZF_prod_ZF_fun$' ).
tff(func_def_214,type,
'baseFunctions$f': 'ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_set$' ).
tff(func_def_215,type,
'aAxioms$d': 'ZF_ZF_Language_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_ZF_Language_set$' ).
tff(func_def_216,type,
'iFunctions$d': 'ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_217,type,
'fun_app$ag': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > 'ZF$' ).
tff(func_def_218,type,
'sigDom$g': 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_ZF_ZF_Language_fun$' ).
tff(func_def_219,type,
'fun_app$ak': ( 'ZF_ZF_Expression_nat_fun$' * 'ZF_ZF_Expression$' ) > 'Nat$' ).
tff(func_def_220,type,
'more$a': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'Unit$' ).
tff(func_def_221,type,
'term$': ( 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_ZF_Language_fun$' ).
tff(func_def_222,type,
'funsignature_abbrev$e': ( 'ZF_ZF_Expression$' * 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_bool_fun$' ).
tff(func_def_223,type,
'mor$': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_224,type,
'uug$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_bool_fun$' ).
tff(func_def_225,type,
'signature_ext$b': ( 'ZF_ZF_Language_set$' * 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_ZF_Language_fun$' * 'Unit$' ) > 'ZF_ZF_Language_ZF_unit_Signature_ext$' ).
tff(func_def_226,type,
'baseTypes$h': 'ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_set$' ).
tff(func_def_227,type,
'comp$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_228,type,
'mapsTo$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_229,type,
'funsignature_abbrev$f': ( 'ZF_ZF_Expression$' * 'ZF_ZF_ZF_Expression_unit_Signature_ext$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_230,type,
'iCategory$e': 'ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_231,type,
tlfalse: tlbool ).
tff(func_def_232,type,
'nat$': $int > 'Nat$' ).
tff(func_def_233,type,
'tDomain$': 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).
tff(func_def_234,type,
'oppositeCategory$': 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).
tff(func_def_235,type,
'termEquivCl$': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_fun$' ).
tff(func_def_236,type,
'obj$': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_237,type,
'exprVar$f': 'ZF_ZF_Expression_ZF_Expression$' ).
tff(func_def_238,type,
'more$': 'ZF_ZF_unit_Axioms_ext$' > 'Unit$' ).
tff(func_def_239,type,
'canonicalCat$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_240,type,
'fun_app$y': ( 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).
tff(func_def_241,type,
'zF2m$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ).
tff(func_def_242,type,
'iFunctions$': 'ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Expression_ZF_fun$' ).
tff(func_def_243,type,
'iSignature$e': 'ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_ZF_Language_unit_Signature_ext$' ).
tff(func_def_244,type,
't$': 'ZF_ZF_unit_Axioms_ext$' ).
tff(func_def_245,type,
'baseFunctions$': 'ZF_ZF_unit_Signature_ext$' > 'ZF_set$' ).
tff(func_def_246,type,
'aSignature$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_unit_Signature_ext$' ).
tff(func_def_247,type,
'objIso$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_248,type,
'term$c': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_ZF_Expression$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_ZF_Language$' ).
tff(func_def_249,type,
'baseTypes$c': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_set$' ).
tff(func_def_250,type,
'fun_app$w': ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression$' ) > 'ZF$' ).
tff(func_def_251,type,
'fun_app$aa': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_252,type,
'makeCat$': 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).
tff(func_def_253,type,
'phi$': 'ZF_ZF_Language$' ).
tff(func_def_254,type,
'extensional$': 'ZF_set$' > 'ZF_ZF_fun_set$' ).
tff(func_def_255,type,
'sigCod$g': 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_ZF_ZF_Language_fun$' ).
tff(func_def_256,type,
'signature_ext$d': ( 'ZF_set$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_ZF_fun$' * 'Unit$' ) > 'ZF_ZF_ZF_Language_unit_Signature_ext$' ).
tff(func_def_257,type,
'equation$b': ( 'ZF$' * 'ZF_ZF_ZF_Expression_Expression$' * 'ZF_ZF_ZF_Expression_Expression$' * 'ZF$' ) > 'ZF_ZF_ZF_Expression_Language$' ).
tff(func_def_258,type,
'funsignature_abbrev$d': ( 'ZF$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_259,type,
'type$b': 'ZF_ZF_Language$' > 'ZF_ZF_Language_ZF_ZF_Language_Language$' ).
tff(func_def_260,type,
'uun$': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' ) > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_261,type,
'isomorphism$': 'ZF_ZF_unit_Category_ext$' > 'ZF_bool_fun$' ).
tff(func_def_262,type,
'funsignature_abbrev$': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_bool_fun$' ).
tff(func_def_263,type,
'aSignature_update$': ( 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_unit_Axioms_ext$' ).
tff(func_def_264,type,
'iTypes$': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_265,type,
'collect$e': 'ZF_ZF_Expression_bool_fun$' > 'ZF_ZF_Expression_set$' ).
tff(func_def_266,type,
'baseTypes$b': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF_ZF_Language_set$' ).
tff(func_def_267,type,
'aSignature$a': 'ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$' > 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' ).
tff(func_def_268,type,
'top$': 'ZF_ZF_unit_TermEquivClT_ext_set$' ).
tff(func_def_269,type,
'canonicalInterpretation$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).
tff(func_def_270,type,
'type$e': 'ZF_ZF_Language$' > 'ZF_ZF_Language_ZF_Language$' ).
tff(func_def_271,type,
'cod$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_272,type,
'pair$': ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_prod$' ).
tff(func_def_273,type,
'baseFunctions_update$a': ( 'ZF_ZF_Language_set_ZF_ZF_Language_set_fun$' * 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' ) > 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' ).
tff(func_def_274,type,
'iSignature$d': 'ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_ZF_Expression_unit_Signature_ext$' ).
tff(func_def_275,type,
'exprVar$e': 'ZF_ZF_ZF_Language_Expression$' ).
tff(func_def_276,type,
'map_IType$': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_ZF_ZF_IType_fun$' ).
tff(func_def_277,type,
'term$e': ( 'ZF$' * 'ZF_ZF_ZF_Language_Expression$' * 'ZF$' ) > 'ZF_ZF_ZF_Language_Language$' ).
tff(func_def_278,type,
'sigCod$d': ( 'ZF_ZF_Expression_ZF_unit_Signature_ext$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).
tff(func_def_279,type,
'sigDom$e': 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_ZF_ZF_Language_fun$' ).
tff(func_def_280,type,
'collect$g': 'ZF_ZF_Language_ZF_ZF_Language_Language_bool_fun$' > 'ZF_ZF_Language_ZF_ZF_Language_Language_set$' ).
tff(func_def_281,type,
'type$a': 'ZF$' > 'ZF_ZF_ZF_Expression_Language$' ).
tff(func_def_282,type,
'baseFunctions$h': 'ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_set$' ).
tff(func_def_283,type,
'equation$a': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_ZF_Expression$' * 'ZF_ZF_Language_ZF_Expression$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_ZF_Language$' ).
tff(func_def_284,type,
'uuk$': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF_ZF_Expression$' * 'ZF$' ) > 'ZF_ZF_Expression_bool_fun$' ).
tff(func_def_285,type,
'exprVar$c': 'ZF_ZF_Language_ZF_Expression$' ).
tff(func_def_286,type,
'iSignature$c': 'ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_Language_ZF_unit_Signature_ext$' ).
tff(func_def_287,type,
'uuw$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_288,type,
'map_Expression$b': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression$' ).
tff(func_def_289,type,
'sigDom$b': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_ZF_fun$' ).
tff(func_def_290,type,
'fun_app$u': ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_291,type,
'sigCod$i': 'ZF_ZF_fun_ZF_unit_Signature_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_292,type,
'sigCod$h': ( 'ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression$' ).
tff(func_def_293,type,
'equation$e': ( 'ZF_ZF_Expression$' * 'ZF_ZF_Expression_ZF_Expression$' * 'ZF_ZF_Expression_ZF_Expression$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression_ZF_Language$' ).
tff(func_def_294,type,
'uud$': 'ZF_set$' > 'ZF_bool_fun$' ).
tff(func_def_295,type,
'signature_ext$a': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_ZF_Language_fun$' * 'ZF_ZF_Language_ZF_ZF_Language_fun$' * 'Unit$' ) > 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' ).
tff(func_def_296,type,
'aAxioms$b': 'ZF_ZF_ZF_Language_unit_Axioms_ext$' > 'ZF_ZF_ZF_Language_Language_set$' ).
tff(func_def_297,type,
'size_IType$': ( 'ZF_nat_fun$' * 'ZF_nat_fun$' * 'ZF_ZF_IType$' ) > 'Nat$' ).
tff(func_def_298,type,
'sigCod_update$': 'ZF_ZF_fun_ZF_ZF_fun_fun$' > 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ).
tff(func_def_299,type,
'fun_app$z': ( 'ZF_ZF_Language_set_ZF_ZF_Language_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language_set$' ).
tff(func_def_300,type,
'iSignature_update$': ( 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).
tff(func_def_301,type,
'sigCod$': 'ZF_ZF_unit_Signature_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_302,type,
'cLCodomain$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_303,type,
'fun_app$a': ( 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_304,type,
'iCategory$c': 'ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_305,type,
'uuc$': 'ZF_ZF_Language_set$' > 'ZF_ZF_Language_bool_fun$' ).
tff(func_def_306,type,
'signature_ext$e': ( 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'Unit$' ) > 'ZF_ZF_unit_Signature_ext$' ).
tff(func_def_307,type,
'more$d': 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' > 'Unit$' ).
tff(func_def_308,type,
'iFunctions$e': 'ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_309,type,
'tExprSet$': 'ZF_ZF_unit_TermEquivClT_ext$' > 'ZF_ZF_Expression_set$' ).
tff(func_def_310,type,
'top$b': 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_set$' ).
tff(func_def_311,type,
'iFunctions$f': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_312,type,
'tCodomain$': 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).
tff(func_def_313,type,
'uum$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_314,type,
'fun_app$': ( 'ZF_nat_fun$' * 'ZF$' ) > 'Nat$' ).
tff(func_def_318,type,
sK0: ( 'ZF$' * 'ZF$' * 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Expression$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_319,type,
sK1: ( 'ZF$' * 'ZF_ZF_Expression$' * 'ZF_ZF_Expression$' * 'ZF$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF$' ).
tff(func_def_320,type,
sK2: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).
tff(func_def_321,type,
sK3: 'ZF_ZF_Language$' > 'ZF$' ).
tff(func_def_322,type,
sK4: 'ZF_ZF_Language$' > 'ZF$' ).
tff(func_def_323,type,
sK5: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).
tff(func_def_324,type,
sK6: ( 'ZF_ZF_Expression$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF$' * 'ZF$' ) > 'ZF_ZF_IType$' ).
tff(func_def_325,type,
sK7: ( 'ZF$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF_ZF_Expression$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_326,type,
sF8: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).
tff(pred_def_1,type,
'fun_app$g': ( 'ZF_ZF_prod_ZF_fun_bool_fun$' * 'ZF_ZF_prod_ZF_fun$' ) > $o ).
tff(pred_def_2,type,
'wellDefined$b': ( 'ZF_ZF_Language_ZF_unit_Signature_ext$' * 'ZF_ZF_Language_ZF_Language$' ) > $o ).
tff(pred_def_3,type,
'signature$g': 'ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$' > $o ).
tff(pred_def_4,type,
'fun_app$c': ( 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > $o ).
tff(pred_def_5,type,
'interpretation$e': 'ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > $o ).
tff(pred_def_6,type,
'fun_app$q': ( 'ZF_ZF_ZF_Language_Language_bool_fun$' * 'ZF_ZF_ZF_Language_Language$' ) > $o ).
tff(pred_def_7,type,
'signature$h': 'ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$' > $o ).
tff(pred_def_8,type,
'fun_app$e': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$' ) > $o ).
tff(pred_def_9,type,
'wellDefined$c': ( 'ZF_ZF_ZF_Expression_unit_Signature_ext$' * 'ZF_ZF_ZF_Expression_Language$' ) > $o ).
tff(pred_def_10,type,
'inj_on$': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > $o ).
tff(pred_def_11,type,
'signature$f': 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > $o ).
tff(pred_def_12,type,
'model$': ( 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).
tff(pred_def_13,type,
'signature$a': 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' > $o ).
tff(pred_def_14,type,
'fun_app$n': ( 'ZF_ZF_Language_ZF_ZF_Language_Language_bool_fun$' * 'ZF_ZF_Language_ZF_ZF_Language_Language$' ) > $o ).
tff(pred_def_15,type,
'fun_app$p': ( 'ZF_ZF_ZF_Expression_Language_bool_fun$' * 'ZF_ZF_ZF_Expression_Language$' ) > $o ).
tff(pred_def_16,type,
'theoryp$a': ( 'ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$' * 'ZF_ZF_Language_ZF_ZF_Language_Language$' ) > $o ).
tff(pred_def_17,type,
'signature$c': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > $o ).
tff(pred_def_18,type,
'member$d': ( 'ZF$' * 'ZF_set$' ) > $o ).
tff(pred_def_19,type,
'member$e': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun_set$' ) > $o ).
tff(pred_def_20,type,
'fun_app$o': ( 'ZF_ZF_Language_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_Language$' ) > $o ).
tff(pred_def_21,type,
'member$j': ( 'ZF_ZF_Language_ZF_Language$' * 'ZF_ZF_Language_ZF_Language_set$' ) > $o ).
tff(pred_def_22,type,
'model_axioms$': ( 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).
tff(pred_def_23,type,
'inj_on$b': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_ZF_ZF_IType_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_set$' ) > $o ).
tff(pred_def_24,type,
'axioms$e': 'ZF_ZF_Expression_ZF_unit_Axioms_ext$' > $o ).
tff(pred_def_25,type,
'interpretation$': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > $o ).
tff(pred_def_26,type,
'fun_app$f': ( 'ZF_bool_fun$' * 'ZF$' ) > $o ).
tff(pred_def_27,type,
'interpretation$a': 'ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > $o ).
tff(pred_def_28,type,
'interpretation$c': 'ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$' > $o ).
tff(pred_def_29,type,
'fun_app$i': ( 'ZF_ZF_IType_bool_fun$' * 'ZF_ZF_IType$' ) > $o ).
tff(pred_def_30,type,
'axioms$': 'ZF_ZF_unit_Axioms_ext$' > $o ).
tff(pred_def_31,type,
'interp$': ( 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF_ZF_Language$' * 'ZF_ZF_IType$' ) > $o ).
tff(pred_def_32,type,
'inj_on$a': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_ZF_ZF_Language_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_set$' ) > $o ).
tff(pred_def_33,type,
'less_eq$a': ( 'ZF_ZF_Language_ZF_Language_set$' * 'ZF_ZF_Language_ZF_Language_set$' ) > $o ).
tff(pred_def_34,type,
'wellDefined$e': ( 'ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$' * 'ZF_ZF_Language_ZF_ZF_Expression_Language$' ) > $o ).
tff(pred_def_35,type,
'wellDefined$d': ( 'ZF_ZF_ZF_Language_unit_Signature_ext$' * 'ZF_ZF_ZF_Language_Language$' ) > $o ).
tff(pred_def_36,type,
'theoryp$b': ( 'ZF_ZF_ZF_Language_unit_Axioms_ext$' * 'ZF_ZF_ZF_Language_Language$' ) > $o ).
tff(pred_def_37,type,
'interpretation$b': 'ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$' > $o ).
tff(pred_def_38,type,
'axioms$a': 'ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$' > $o ).
tff(pred_def_39,type,
'extCategory$': 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_40,type,
'signature$': 'ZF_ZF_unit_Signature_ext$' > $o ).
tff(pred_def_41,type,
'signature$d': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > $o ).
tff(pred_def_42,type,
'member$b': ( 'ZF_ZF_Expression$' * 'ZF_ZF_Expression_set$' ) > $o ).
tff(pred_def_43,type,
'category$': 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_44,type,
'wellDefined$a': ( 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' * 'ZF_ZF_Language_ZF_ZF_Language_Language$' ) > $o ).
tff(pred_def_45,type,
'member$f': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_set$' ) > $o ).
tff(pred_def_46,type,
'member$g': ( 'ZF_ZF_Language_ZF_ZF_Language_Language$' * 'ZF_ZF_Language_ZF_ZF_Language_Language_set$' ) > $o ).
tff(pred_def_47,type,
'zFAxioms$': 'ZF_ZF_unit_Axioms_ext$' > $o ).
tff(pred_def_48,type,
'member$c': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_set$' ) > $o ).
tff(pred_def_49,type,
'fun_app$d': ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression$' ) > $o ).
tff(pred_def_50,type,
'less_eq$b': ( 'ZF_ZF_ZF_Expression_Language_set$' * 'ZF_ZF_ZF_Expression_Language_set$' ) > $o ).
tff(pred_def_51,type,
'fun_app$b': ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language$' ) > $o ).
tff(pred_def_52,type,
'axioms$b': 'ZF_ZF_Language_ZF_unit_Axioms_ext$' > $o ).
tff(pred_def_53,type,
'less_eq$': ( 'ZF_ZF_Language_ZF_ZF_Language_Language_set$' * 'ZF_ZF_Language_ZF_ZF_Language_Language_set$' ) > $o ).
tff(pred_def_54,type,
'inj_on$c': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_set$' ) > $o ).
tff(pred_def_55,type,
'axioms$c': 'ZF_ZF_ZF_Expression_unit_Axioms_ext$' > $o ).
tff(pred_def_56,type,
'theoryp$c': ( 'ZF_ZF_Expression_ZF_unit_Axioms_ext$' * 'ZF_ZF_Expression_ZF_Language$' ) > $o ).
tff(pred_def_57,type,
'interpretation$d': 'ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$' > $o ).
tff(pred_def_58,type,
'axioms$d': 'ZF_ZF_ZF_Language_unit_Axioms_ext$' > $o ).
tff(pred_def_59,type,
'less_eq$c': ( 'ZF_ZF_ZF_Language_Language_set$' * 'ZF_ZF_ZF_Language_Language_set$' ) > $o ).
tff(pred_def_60,type,
'category_axioms$': 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_61,type,
'member$i': ( 'ZF_ZF_Expression_ZF_Language$' * 'ZF_ZF_Expression_ZF_Language_set$' ) > $o ).
tff(pred_def_62,type,
'zFAxioms_axioms$': 'ZF_ZF_unit_Axioms_ext$' > $o ).
tff(pred_def_63,type,
'member$': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_set$' ) > $o ).
tff(pred_def_64,type,
'less_eq$d': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_set$' ) > $o ).
tff(pred_def_65,type,
'interpretation$f': 'ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$' > $o ).
tff(pred_def_66,type,
'member$a': ( 'ZF_ZF_unit_TermEquivClT_ext$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > $o ).
tff(pred_def_67,type,
'fun_app$h': ( 'ZF_ZF_fun_bool_fun$' * 'ZF_ZF_fun$' ) > $o ).
tff(pred_def_68,type,
'signature$b': 'ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$' > $o ).
tff(pred_def_69,type,
'theoryp$d': ( 'ZF_ZF_Language_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language_ZF_Language$' ) > $o ).
tff(pred_def_70,type,
'signature$e': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > $o ).
tff(pred_def_71,type,
'member$h': ( 'ZF_ZF_ZF_Language_Language$' * 'ZF_ZF_ZF_Language_Language_set$' ) > $o ).
tff(pred_def_72,type,
'signature$i': 'ZF_ZF_fun_ZF_unit_Signature_ext$' > $o ).
tff(pred_def_73,type,
'wellDefined$f': ( 'ZF_ZF_Expression_ZF_unit_Signature_ext$' * 'ZF_ZF_Expression_ZF_Language$' ) > $o ).
tff(f28,conjecture,
'interpretation$'('canonicalInterpretation$'('t$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture27) ).
tff(f29,negated_conjecture,
~ 'interpretation$'('canonicalInterpretation$'('t$')),
inference(negated_conjecture,[status(cth)],[f28]) ).
tff(f30,axiom,
'zFAxioms$'('t$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom28) ).
tff(f31,axiom,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( 'zFAxioms$'(X0)
=> 'interpretation$'('canonicalInterpretation$'(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom29) ).
tff(f572,plain,
~ 'interpretation$'('canonicalInterpretation$'('t$')),
inference(flattening,[],[f29]) ).
tff(f618,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( ~ 'zFAxioms$'(X0)
| 'interpretation$'('canonicalInterpretation$'(X0)) ),
inference(ennf_transformation,[],[f31]) ).
tff(f726,plain,
'zFAxioms$'('t$'),
inference(cnf_transformation,[],[f30]) ).
tff(f727,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( 'interpretation$'('canonicalInterpretation$'(X0))
| ~ 'zFAxioms$'(X0) ),
inference(cnf_transformation,[],[f618]) ).
tff(f732,plain,
~ 'interpretation$'('canonicalInterpretation$'('t$')),
inference(cnf_transformation,[],[f572]) ).
tff(f768,definition,
sF8 = 'canonicalInterpretation$'('t$'),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
tff(f769,plain,
'canonicalInterpretation$'('t$') = sF8,
inference(reorient_equations,[],[f768]) ).
tff(f770,plain,
~ 'interpretation$'(sF8),
inference(definition_folding,[],[f732,f769]) ).
tff(f772,plain,
( 'interpretation$'(sF8)
| ~ 'zFAxioms$'('t$') ),
inference(superposition,[],[f727,f769]) ).
tff(f773,plain,
~ 'zFAxioms$'('t$'),
inference(forward_subsumption_resolution,[],[f772,f770]) ).
tff(f774,plain,
$false,
inference(forward_subsumption_resolution,[],[f773,f726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP299_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n017.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 12:49:05 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.97/1.93 % (2518294)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.97/1.93 % (2518305)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2978897626:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.97/1.93 % (2518305)Instruction limit reached!
% 4.97/1.93 % (2518305)------------------------------
% 4.97/1.93 % (2518305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.93 % (2518305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.93 % (2518305)CaDiCaL version: 2.1.3
% 4.97/1.93 % (2518305)Termination reason: Instruction limit
% 4.97/1.93 % (2518305)Termination phase: Preprocessing 2
% 4.97/1.93 % (2518305)Time elapsed: 0.017 s
% 4.97/1.93 % (2518305)Peak memory usage: 87 MB
% 4.97/1.93 % (2518305)Instructions burned: 33 (million)
% 4.97/1.93 % (2518302)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1893334071:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.97/1.93 % (2518302)Instruction limit reached!
% 4.97/1.93 % (2518302)------------------------------
% 4.97/1.93 % (2518302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.93 % (2518302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.93 % (2518302)CaDiCaL version: 2.1.3
% 4.97/1.93 % (2518302)Termination reason: Instruction limit
% 4.97/1.93 % (2518302)Termination phase: Property scanning
% 4.97/1.93 % (2518302)Time elapsed: 0.005 s
% 4.97/1.93 % (2518302)Peak memory usage: 86 MB
% 4.97/1.93 % (2518302)Instructions burned: 8 (million)
% 4.97/1.93 % (2518300)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3931163067:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.97/1.93 % (2518303)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=532102839:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.97/1.93 % (2518304)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2465576516:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.97/1.93 % (2518299)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4034597987:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.97/1.93 % (2518301)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2363859027:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.97/1.93 % (2518303)Instruction limit reached!
% 4.97/1.93 % (2518303)------------------------------
% 4.97/1.93 % (2518303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.93 % (2518303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.93 % (2518303)CaDiCaL version: 2.1.3
% 4.97/1.93 % (2518303)Termination reason: Instruction limit
% 4.97/1.93 % (2518303)Termination phase: Property scanning
% 4.97/1.93 % (2518303)Time elapsed: 0.006 s
% 4.97/1.93 % (2518303)Peak memory usage: 86 MB
% 4.97/1.93 % (2518303)Instructions burned: 5 (million)
% 4.97/1.93 % (2518299)Instruction limit reached!
% 4.97/1.93 % (2518299)------------------------------
% 4.97/1.93 % (2518299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.93 % (2518299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.93 % (2518299)CaDiCaL version: 2.1.3
% 4.97/1.93 % (2518299)Termination reason: Instruction limit
% 4.97/1.93 % (2518299)Termination phase: shuffling
% 4.97/1.93 % (2518299)Time elapsed: 0.012 s
% 4.97/1.93 % (2518299)Peak memory usage: 85 MB
% 4.97/1.93 % (2518299)Instructions burned: 12 (million)
% 4.97/1.93 % (2518304)Instruction limit reached!
% 4.97/1.93 % (2518304)------------------------------
% 4.97/1.93 % (2518304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.93 % (2518304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.93 % (2518304)CaDiCaL version: 2.1.3
% 4.97/1.93 % (2518304)Termination reason: Instruction limit
% 4.97/1.93 % (2518304)Termination phase: Preprocessing 3
% 4.97/1.93 % (2518304)Time elapsed: 0.047 s
% 4.97/1.93 % (2518304)Peak memory usage: 88 MB
% 4.97/1.93 % (2518304)Instructions burned: 46 (million)
% 4.97/1.93 % (2518307)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3940746182:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 4.97/1.93 % (2518307)Instruction limit reached!
% 4.97/1.93 % (2518307)------------------------------
% 7.73/2.19 % (2518307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.19 % (2518307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.19 % (2518307)CaDiCaL version: 2.1.3
% 7.73/2.19 % (2518307)Termination reason: Instruction limit
% 7.73/2.19 % (2518307)Termination phase: SInE selection
% 7.73/2.19 % (2518307)Time elapsed: 0.008 s
% 7.73/2.19 % (2518307)Peak memory usage: 86 MB
% 7.73/2.19 % (2518307)Instructions burned: 15 (million)
% 7.73/2.19 % (2518309)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1081520534:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2996 on theBenchmark for (2996ds/29Mi)
% 7.73/2.19 % (2518301)Instruction limit reached!
% 7.73/2.19 % (2518301)------------------------------
% 7.73/2.19 % (2518301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.19 % (2518301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.19 % (2518301)CaDiCaL version: 2.1.3
% 7.73/2.19 % (2518301)Termination reason: Instruction limit
% 7.73/2.19 % (2518301)Termination phase: Saturation
% 7.73/2.19 % (2518301)Time elapsed: 0.217 s
% 7.73/2.19 % (2518301)Peak memory usage: 116 MB
% 7.73/2.19 % (2518301)Instructions burned: 201 (million)
% 7.73/2.19 % (2518309)Instruction limit reached!
% 7.73/2.19 % (2518309)------------------------------
% 7.73/2.19 % (2518309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.19 % (2518309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.19 % (2518309)CaDiCaL version: 2.1.3
% 7.73/2.19 % (2518309)Termination reason: Instruction limit
% 7.73/2.19 % (2518309)Termination phase: Preprocessing 1
% 7.73/2.19 % (2518309)Time elapsed: 0.028 s
% 7.73/2.19 % (2518309)Peak memory usage: 86 MB
% 7.73/2.19 % (2518309)Instructions burned: 29 (million)
% 7.73/2.19 % (2518300)Instruction limit reached!
% 7.73/2.19 % (2518300)------------------------------
% 7.73/2.19 % (2518300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.19 % (2518300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.19 % (2518300)CaDiCaL version: 2.1.3
% 7.73/2.19 % (2518300)Termination reason: Instruction limit
% 7.73/2.19 % (2518300)Termination phase: Property scanning
% 7.73/2.19 % (2518300)Time elapsed: 0.248 s
% 7.73/2.19 % (2518300)Peak memory usage: 90 MB
% 7.73/2.19 % (2518300)Instructions burned: 307 (million)
% 7.73/2.19 % (2518315)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1795858619:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 7.73/2.19 % (2518316)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1347042051:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 7.73/2.19 % (2518315)Instruction limit reached!
% 7.73/2.19 % (2518315)------------------------------
% 7.73/2.19 % (2518315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.19 % (2518315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.19 % (2518315)CaDiCaL version: 2.1.3
% 7.73/2.19 % (2518315)Termination reason: Instruction limit
% 7.73/2.19 % (2518315)Termination phase: Preprocessing 1
% 7.73/2.19 % (2518315)Time elapsed: 0.017 s
% 7.73/2.19 % (2518315)Peak memory usage: 86 MB
% 7.73/2.19 % (2518315)Instructions burned: 16 (million)
% 7.73/2.19 % (2518316)Instruction limit reached!
% 7.73/2.19 % (2518316)------------------------------
% 7.73/2.19 % (2518316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.19 % (2518316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.19 % (2518316)CaDiCaL version: 2.1.3
% 7.73/2.19 % (2518316)Termination reason: Instruction limit
% 7.73/2.19 % (2518316)Termination phase: Preprocessing 1
% 7.73/2.19 % (2518316)Time elapsed: 0.022 s
% 7.73/2.19 % (2518316)Peak memory usage: 86 MB
% 7.73/2.19 % (2518316)Instructions burned: 24 (million)
% 7.73/2.19 % (2518317)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2308007200:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.73/2.19 % (2518317)Instruction limit reached!
% 7.73/2.19 % (2518317)------------------------------
% 7.73/2.19 % (2518317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.19 % (2518317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518317)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518317)Termination reason: Instruction limit
% 8.33/2.24 % (2518317)Termination phase: Preprocessing 1
% 8.33/2.24 % (2518317)Time elapsed: 0.027 s
% 8.33/2.24 % (2518317)Peak memory usage: 86 MB
% 8.33/2.24 % (2518317)Instructions burned: 28 (million)
% 8.33/2.24 % (2518319)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3617597957:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 8.33/2.24 % (2518319)Instruction limit reached!
% 8.33/2.24 % (2518319)------------------------------
% 8.33/2.24 % (2518319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518319)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518319)Termination reason: Instruction limit
% 8.33/2.24 % (2518319)Termination phase: Preprocessing 3
% 8.33/2.24 % (2518319)Time elapsed: 0.045 s
% 8.33/2.24 % (2518319)Peak memory usage: 90 MB
% 8.33/2.24 % (2518319)Instructions burned: 86 (million)
% 8.33/2.24 % (2518323)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2260541550:i=4:ep=RST:ins=2:rtra=on_2993 on theBenchmark for (2993ds/4Mi)
% 8.33/2.24 % (2518323)Instruction limit reached!
% 8.33/2.24 % (2518323)------------------------------
% 8.33/2.24 % (2518323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518323)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518323)Termination reason: Instruction limit
% 8.33/2.24 % (2518323)Termination phase: Property scanning
% 8.33/2.24 % (2518323)Time elapsed: 0.004 s
% 8.33/2.24 % (2518323)Peak memory usage: 86 MB
% 8.33/2.24 % (2518323)Instructions burned: 4 (million)
% 8.33/2.24 % (2518321)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1354347677:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 8.33/2.24 % (2518322)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=764835199:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 8.33/2.24 % (2518321)Instruction limit reached!
% 8.33/2.24 % (2518321)------------------------------
% 8.33/2.24 % (2518321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518321)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518321)Termination reason: Instruction limit
% 8.33/2.24 % (2518321)Termination phase: shuffling
% 8.33/2.24 % (2518321)Time elapsed: 0.003 s
% 8.33/2.24 % (2518321)Peak memory usage: 85 MB
% 8.33/2.24 % (2518321)Instructions burned: 2 (million)
% 8.33/2.24 % (2518322)First to succeed.
% 8.33/2.24 % (2518322)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2518294"
% 8.33/2.24 % (2518327)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4171809121:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2993 on theBenchmark for (2993ds/66Mi)
% 8.33/2.24 % (2518328)lrs+10_1_thi=all:si=on:fd=off:random_seed=3166869677:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 8.33/2.24 % (2518329)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1855684138:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 8.33/2.24 % (2518329)Instruction limit reached!
% 8.33/2.24 % (2518329)------------------------------
% 8.33/2.24 % (2518329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518329)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518329)Termination reason: Instruction limit
% 8.33/2.24 % (2518329)Termination phase: Property scanning
% 8.33/2.24 % (2518329)Time elapsed: 0.008 s
% 8.33/2.24 % (2518329)Peak memory usage: 85 MB
% 8.33/2.24 % (2518329)Instructions burned: 8 (million)
% 8.33/2.24 % (2518331)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=4079102219:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 8.33/2.24 % (2518331)Instruction limit reached!
% 8.33/2.24 % (2518331)------------------------------
% 8.33/2.24 % (2518331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518331)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518331)Termination reason: Instruction limit
% 8.33/2.24 % (2518331)Termination phase: shuffling
% 8.33/2.24 % (2518331)Time elapsed: 0.002 s
% 8.33/2.24 % (2518331)Peak memory usage: 85 MB
% 8.33/2.24 % (2518331)Instructions burned: 2 (million)
% 8.33/2.24 % (2518328)Instruction limit reached!
% 8.33/2.24 % (2518328)------------------------------
% 8.33/2.24 % (2518328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518328)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518328)Termination reason: Instruction limit
% 8.33/2.24 % (2518328)Termination phase: Preprocessing 1
% 8.33/2.24 % (2518328)Time elapsed: 0.048 s
% 8.33/2.24 % (2518328)Peak memory usage: 87 MB
% 8.33/2.24 % (2518328)Instructions burned: 53 (million)
% 8.33/2.24 % (2518333)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=654604308:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 8.33/2.24 % (2518333)Instruction limit reached!
% 8.33/2.24 % (2518333)------------------------------
% 8.33/2.24 % (2518333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518333)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518333)Termination reason: Instruction limit
% 8.33/2.24 % (2518333)Termination phase: shuffling
% 8.33/2.24 % (2518333)Time elapsed: 0.003 s
% 8.33/2.24 % (2518333)Peak memory usage: 85 MB
% 8.33/2.24 % (2518333)Instructions burned: 2 (million)
% 8.33/2.24 % (2518327)Instruction limit reached!
% 8.33/2.24 % (2518327)------------------------------
% 8.33/2.24 % (2518327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518327)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518327)Termination reason: Instruction limit
% 8.33/2.24 % (2518327)Termination phase: Preprocessing 3
% 8.33/2.24 % (2518327)Time elapsed: 0.068 s
% 8.33/2.24 % (2518327)Peak memory usage: 89 MB
% 8.33/2.24 % (2518327)Instructions burned: 66 (million)
% 8.33/2.24 % (2518336)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=688227896:i=127:doe=on:rtra=on_2992 on theBenchmark for (2992ds/127Mi)
% 8.33/2.24 % (2518342)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2614943735:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 8.33/2.24 % (2518342)Instruction limit reached!
% 8.33/2.24 % (2518342)------------------------------
% 8.33/2.24 % (2518342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518342)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518342)Termination reason: Instruction limit
% 8.33/2.24 % (2518342)Termination phase: Preprocessing 1
% 8.33/2.24 % (2518342)Time elapsed: 0.013 s
% 8.33/2.24 % (2518342)Peak memory usage: 86 MB
% 8.33/2.24 % (2518342)Instructions burned: 26 (million)
% 8.33/2.24 % (2518340)dis+10_1_si=on:random_seed=944834515:i=10:ep=R:rtra=on_2990 on theBenchmark for (2990ds/10Mi)
% 8.33/2.24 % (2518340)Instruction limit reached!
% 8.33/2.24 % (2518340)------------------------------
% 8.33/2.24 % (2518340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518340)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518340)Termination reason: Instruction limit
% 8.33/2.24 % (2518340)Termination phase: Property scanning
% 8.33/2.24 % (2518340)Time elapsed: 0.011 s
% 8.33/2.24 % (2518340)Peak memory usage: 86 MB
% 8.33/2.24 % (2518340)Instructions burned: 11 (million)
% 8.33/2.24 % (2518336)Instruction limit reached!
% 8.33/2.24 % (2518336)------------------------------
% 8.33/2.24 % (2518336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518336)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518336)Termination reason: Instruction limit
% 8.33/2.24 % (2518336)Termination phase: Saturation
% 8.33/2.24 % (2518336)Time elapsed: 0.120 s
% 8.33/2.24 % (2518336)Peak memory usage: 91 MB
% 8.33/2.24 % (2518336)Instructions burned: 127 (million)
% 8.33/2.24 % (2518346)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2965104682:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 8.33/2.24 % (2518343)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2225624198:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 8.33/2.24 % (2518346)Instruction limit reached!
% 8.33/2.24 % (2518346)------------------------------
% 8.33/2.24 % (2518346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518346)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518346)Termination reason: Instruction limit
% 8.33/2.24 % (2518346)Termination phase: Property scanning
% 8.33/2.24 % (2518346)Time elapsed: 0.009 s
% 8.33/2.24 % (2518346)Peak memory usage: 86 MB
% 8.33/2.24 % (2518346)Instructions burned: 9 (million)
% 8.33/2.24 % (2518345)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3342639811:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 8.33/2.24 % (2518345)Instruction limit reached!
% 8.33/2.24 % (2518345)------------------------------
% 8.33/2.24 % (2518345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518345)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518345)Termination reason: Instruction limit
% 8.33/2.24 % (2518345)Termination phase: shuffling
% 8.33/2.24 % (2518345)Time elapsed: 0.004 s
% 8.33/2.24 % (2518345)Peak memory usage: 86 MB
% 8.33/2.24 % (2518345)Instructions burned: 2 (million)
% 8.33/2.24 % (2518343)Instruction limit reached!
% 8.33/2.24 % (2518343)------------------------------
% 8.33/2.24 % (2518343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/2.24 % (2518343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/2.24 % (2518343)CaDiCaL version: 2.1.3
% 8.33/2.24 % (2518343)Termination reason: Instruction limit
% 8.33/2.24 % (2518343)Termination phase: Unused predicate definition removal
% 8.33/2.24 % (2518343)Time elapsed: 0.035 s
% 8.33/2.24 % (2518343)Peak memory usage: 87 MB
% 8.33/2.24 % (2518343)Instructions burned: 35 (million)
% 8.33/2.24 % (2518322)Refutation found. Thanks to Tanya!
% 8.33/2.24 % SZS status Theorem for theBenchmark
% 8.33/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 8.97/2.55 % (2518322)------------------------------
% 8.97/2.55 % (2518322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/2.55 % (2518322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/2.55 % (2518322)CaDiCaL version: 2.1.3
% 8.97/2.55 % (2518322)Termination reason: Refutation
% 8.97/2.55 % (2518322)Time elapsed: 0.030 s
% 8.97/2.55 % (2518322)Peak memory usage: 90 MB
% 8.97/2.55 % (2518322)Instructions burned: 28 (million)
% 8.97/2.55 % (2518322)------------------------------
% 8.97/2.55 % (2518322)------------------------------
% 8.97/2.55 % (2518294)Success in time 1.227 s
% 8.97/2.55 % Vampire exiting
%------------------------------------------------------------------------------