TSTP Solution File: ITP299_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 : Mon May 20 22:41:11 EDT 2024
% Result : Theorem 0.81s 1.00s
% Output : Refutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 500
% Syntax : Number of formulae : 508 ( 8 unt; 497 typ; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 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)
% Number of type conns : 619 ( 370 >; 249 *; 0 +; 0 <<)
% Number of predicates : 74 ( 73 usr; 1 prp; 0-3 aty)
% Number of functors : 323 ( 323 usr; 26 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$' ).
tff(func_def_319,type,
sK0: ( 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF$' * 'ZF_ZF_Expression$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_320,type,
sK1: 'ZF_ZF_Language$' > 'ZF$' ).
tff(func_def_321,type,
sK2: 'ZF_ZF_Language$' > 'ZF$' ).
tff(func_def_322,type,
sK3: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).
tff(func_def_323,type,
sK4: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).
tff(func_def_324,type,
sK5: ( 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF$' * 'ZF_ZF_Expression$' * 'ZF$' ) > 'ZF_ZF_IType$' ).
tff(func_def_325,type,
sK6: ( 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF$' * 'ZF_ZF_Expression$' * 'ZF_ZF_Expression$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_326,type,
sK7: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF$' * 'ZF$' * 'ZF_ZF_Expression$' * 'ZF$' ) > 'ZF$' ).
tff(pred_def_1,type,
'fun_app$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(f728,plain,
$false,
inference(subsumption_resolution,[],[f727,f665]) ).
tff(f665,plain,
'zFAxioms$'('t$'),
inference(cnf_transformation,[],[f30]) ).
tff(f30,axiom,
'zFAxioms$'('t$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom28) ).
tff(f727,plain,
~ 'zFAxioms$'('t$'),
inference(resolution,[],[f657,f668]) ).
tff(f668,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( 'interpretation$'('canonicalInterpretation$'(X0))
| ~ 'zFAxioms$'(X0) ),
inference(cnf_transformation,[],[f604]) ).
tff(f604,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( 'interpretation$'('canonicalInterpretation$'(X0))
| ~ 'zFAxioms$'(X0) ),
inference(ennf_transformation,[],[f31]) ).
tff(f31,axiom,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( 'zFAxioms$'(X0)
=> 'interpretation$'('canonicalInterpretation$'(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom29) ).
tff(f657,plain,
~ 'interpretation$'('canonicalInterpretation$'('t$')),
inference(cnf_transformation,[],[f584]) ).
tff(f584,plain,
~ 'interpretation$'('canonicalInterpretation$'('t$')),
inference(flattening,[],[f29]) ).
tff(f29,negated_conjecture,
~ 'interpretation$'('canonicalInterpretation$'('t$')),
inference(negated_conjecture,[],[f28]) ).
tff(f28,conjecture,
'interpretation$'('canonicalInterpretation$'('t$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture27) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 18:07:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_EQU_ARI problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.98 % (7036)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2993ds/78Mi)
% 0.81/0.98 % (7037)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2993ds/33Mi)
% 0.81/0.98 % (7034)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2993ds/34Mi)
% 0.81/0.98 % (7035)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2993ds/51Mi)
% 0.81/0.98 % (7039)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2993ds/45Mi)
% 0.81/0.98 % (7038)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2993ds/34Mi)
% 0.81/0.98 % (7040)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2993ds/83Mi)
% 0.81/0.98 % (7041)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2993ds/56Mi)
% 0.81/0.99 % (7034)Instruction limit reached!
% 0.81/0.99 % (7034)------------------------------
% 0.81/0.99 % (7034)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.99 % (7034)Termination reason: Unknown
% 0.81/0.99 % (7034)Termination phase: Property scanning
% 0.81/0.99
% 0.81/0.99 % (7034)Memory used [KB]: 1733
% 0.81/0.99 % (7034)Time elapsed: 0.017 s
% 0.81/0.99 % (7034)Instructions burned: 34 (million)
% 0.81/0.99 % (7034)------------------------------
% 0.81/0.99 % (7034)------------------------------
% 0.81/0.99 % (7037)Instruction limit reached!
% 0.81/0.99 % (7037)------------------------------
% 0.81/0.99 % (7037)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.99 % (7037)Termination reason: Unknown
% 0.81/0.99 % (7037)Termination phase: Including theory axioms
% 0.81/0.99
% 0.81/0.99 % (7037)Memory used [KB]: 1736
% 0.81/0.99 % (7038)Instruction limit reached!
% 0.81/0.99 % (7038)------------------------------
% 0.81/0.99 % (7038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.99 % (7038)Termination reason: Unknown
% 0.81/0.99 % (7038)Termination phase: Property scanning
% 0.81/0.99
% 0.81/0.99 % (7038)Memory used [KB]: 1733
% 0.81/0.99 % (7038)Time elapsed: 0.017 s
% 0.81/0.99 % (7038)Instructions burned: 34 (million)
% 0.81/0.99 % (7038)------------------------------
% 0.81/0.99 % (7038)------------------------------
% 0.81/0.99 % (7037)Time elapsed: 0.017 s
% 0.81/0.99 % (7037)Instructions burned: 34 (million)
% 0.81/0.99 % (7037)------------------------------
% 0.81/0.99 % (7037)------------------------------
% 0.81/1.00 % (7042)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2993ds/55Mi)
% 0.81/1.00 % (7043)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2993ds/50Mi)
% 0.81/1.00 % (7044)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2993ds/208Mi)
% 0.81/1.00 % (7041)Refutation not found, incomplete strategy% (7041)------------------------------
% 0.81/1.00 % (7041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/1.00 % (7041)Termination reason: Refutation not found, incomplete strategy
% 0.81/1.00
% 0.81/1.00 % (7041)Memory used [KB]: 1827
% 0.81/1.00 % (7041)Time elapsed: 0.022 s
% 0.81/1.00 % (7041)Instructions burned: 42 (million)
% 0.81/1.00 % (7039)First to succeed.
% 0.81/1.00 % (7041)------------------------------
% 0.81/1.00 % (7041)------------------------------
% 0.81/1.00 % (7039)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7033"
% 0.81/1.00 % (7039)Refutation found. Thanks to Tanya!
% 0.81/1.00 % SZS status Theorem for theBenchmark
% 0.81/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 0.81/1.00 % (7039)------------------------------
% 0.81/1.00 % (7039)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/1.00 % (7039)Termination reason: Refutation
% 0.81/1.00
% 0.81/1.00 % (7039)Memory used [KB]: 1841
% 0.81/1.00 % (7039)Time elapsed: 0.025 s
% 0.81/1.00 % (7039)Instructions burned: 46 (million)
% 0.81/1.00 % (7033)Success in time 0.621 s
% 0.81/1.01 % Vampire---4.8 exiting
%------------------------------------------------------------------------------