TSTP Solution File: ITP299_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n026.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 : Wed Aug 31 17:19:29 EDT 2022

% Result   : Theorem 2.18s 0.85s
% Output   : Refutation 2.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  498
% Syntax   : Number of formulae    :  505 (   7 unt; 495 typ;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   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  :  609 ( 368   >; 241   *;   0   +;   0  <<)
%            Number of predicates  :   74 (  73 usr;   1 prp; 0-3 aty)
%            Number of functors    :  321 ( 321 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_Expression$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_320,type,
    sK1: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).

tff(func_def_321,type,
    sK2: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).

tff(func_def_322,type,
    sK3: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_323,type,
    sK4: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_324,type,
    sK5: ( 'ZF_ZF_Expression$' * 'ZF$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF$' ) > 'ZF_ZF_IType$' ).

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(f636,plain,
    $false,
    inference(unit_resulting_resolution,[],[f628,f630,f633]) ).

tff(f633,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
      ( 'interpretation$'('canonicalInterpretation$'(X0))
      | ~ 'zFAxioms$'(X0) ),
    inference(cnf_transformation,[],[f610]) ).

tff(f610,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
      ( ~ 'zFAxioms$'(X0)
      | 'interpretation$'('canonicalInterpretation$'(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(f630,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) ).

tff(f628,plain,
    'zFAxioms$'('t$'),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,axiom,
    'zFAxioms$'('t$'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom28) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.14/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.16/0.37  % Computer : n026.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Aug 30 00:30:20 EDT 2022
% 0.16/0.37  % CPUTime    : 
% 0.23/0.59  % (4003)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.23/0.59  % (3993)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.59  % (3993)Instruction limit reached!
% 0.23/0.59  % (3993)------------------------------
% 0.23/0.59  % (3993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.59  % (3993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.59  % (3993)Termination reason: Unknown
% 0.23/0.59  % (3993)Termination phase: shuffling
% 0.23/0.59  
% 0.23/0.59  % (3993)Memory used [KB]: 1918
% 0.23/0.59  % (3993)Time elapsed: 0.005 s
% 0.23/0.59  % (3993)Instructions burned: 2 (million)
% 0.23/0.59  % (3993)------------------------------
% 0.23/0.59  % (3993)------------------------------
% 1.07/0.60  % (3984)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 1.07/0.60  % (3997)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.07/0.60  % (3976)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 1.07/0.60  % (3988)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.07/0.61  % (4008)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.07/0.61  % (3985)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 1.07/0.61  % (3997)Instruction limit reached!
% 1.07/0.61  % (3997)------------------------------
% 1.07/0.61  % (3997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.07/0.61  % (3997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.07/0.61  % (3997)Termination reason: Unknown
% 1.07/0.61  % (3997)Termination phase: shuffling
% 1.07/0.61  
% 1.07/0.61  % (3997)Memory used [KB]: 1918
% 1.07/0.61  % (3997)Time elapsed: 0.002 s
% 1.07/0.61  % (3997)Instructions burned: 2 (million)
% 1.07/0.61  % (3997)------------------------------
% 1.07/0.61  % (3997)------------------------------
% 1.07/0.61  % (3988)Instruction limit reached!
% 1.07/0.61  % (3988)------------------------------
% 1.07/0.61  % (3988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.07/0.61  % (3988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.07/0.61  % (3988)Termination reason: Unknown
% 1.07/0.61  % (3988)Termination phase: shuffling
% 1.07/0.61  
% 1.07/0.61  % (3988)Memory used [KB]: 1918
% 1.07/0.61  % (3988)Time elapsed: 0.006 s
% 1.07/0.61  % (3988)Instructions burned: 4 (million)
% 1.07/0.61  % (3988)------------------------------
% 1.07/0.61  % (3988)------------------------------
% 1.07/0.61  % (3983)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 1.07/0.61  % (3977)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.07/0.61  % (3999)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.07/0.62  % (4008)Instruction limit reached!
% 1.07/0.62  % (4008)------------------------------
% 1.07/0.62  % (4008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.07/0.62  % (4008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.07/0.62  % (4008)Termination reason: Unknown
% 1.07/0.62  % (4008)Termination phase: shuffling
% 1.07/0.62  
% 1.07/0.62  % (4008)Memory used [KB]: 1918
% 1.07/0.62  % (4008)Time elapsed: 0.013 s
% 1.07/0.62  % (4008)Instructions burned: 22 (million)
% 1.07/0.62  % (4008)------------------------------
% 1.07/0.62  % (4008)------------------------------
% 1.07/0.62  % (3990)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.48/0.62  % (3978)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.48/0.62  % (3982)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.48/0.63  % (3980)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.48/0.63  % (3981)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.48/0.63  % (3978)Instruction limit reached!
% 1.48/0.63  % (3978)------------------------------
% 1.48/0.63  % (3978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.63  % (3978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.63  % (3978)Termination reason: Unknown
% 1.48/0.63  % (3978)Termination phase: Property scanning
% 1.48/0.63  
% 1.48/0.63  % (3978)Memory used [KB]: 1918
% 1.48/0.63  % (3978)Time elapsed: 0.006 s
% 1.48/0.63  % (3978)Instructions burned: 11 (million)
% 1.48/0.63  % (3978)------------------------------
% 1.48/0.63  % (3978)------------------------------
% 1.48/0.63  % (3980)Instruction limit reached!
% 1.48/0.63  % (3980)------------------------------
% 1.48/0.63  % (3980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.63  % (3980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.63  % (3980)Termination reason: Unknown
% 1.48/0.63  % (3980)Termination phase: shuffling
% 1.48/0.63  
% 1.48/0.63  % (3980)Memory used [KB]: 1918
% 1.48/0.63  % (3980)Time elapsed: 0.002 s
% 1.48/0.63  % (3980)Instructions burned: 2 (million)
% 1.48/0.63  % (3980)------------------------------
% 1.48/0.63  % (3980)------------------------------
% 1.48/0.63  % (4007)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.48/0.63  % (3986)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.48/0.63  % (3986)Instruction limit reached!
% 1.48/0.63  % (3986)------------------------------
% 1.48/0.63  % (3986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.63  % (3986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.63  % (3986)Termination reason: Unknown
% 1.48/0.63  % (3986)Termination phase: shuffling
% 1.48/0.63  
% 1.48/0.63  % (3986)Memory used [KB]: 1791
% 1.48/0.63  % (3986)Time elapsed: 0.003 s
% 1.48/0.63  % (3986)Instructions burned: 2 (million)
% 1.48/0.63  % (3986)------------------------------
% 1.48/0.63  % (3986)------------------------------
% 1.48/0.63  % (4009)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.48/0.63  % (3996)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.48/0.63  % (3982)Instruction limit reached!
% 1.48/0.63  % (3982)------------------------------
% 1.48/0.63  % (3982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.63  % (3991)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.48/0.63  % (4002)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.48/0.63  % (4005)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.48/0.63  % (4010)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.48/0.63  % (3992)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.48/0.63  % (4004)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 1.48/0.64  % (3987)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.48/0.64  % (3999)Instruction limit reached!
% 1.48/0.64  % (3999)------------------------------
% 1.48/0.64  % (3999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.64  % (3999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.64  % (3999)Termination reason: Unknown
% 1.48/0.64  % (3999)Termination phase: Property scanning
% 1.48/0.64  
% 1.48/0.64  % (3999)Memory used [KB]: 1918
% 1.48/0.64  % (3999)Time elapsed: 0.008 s
% 1.48/0.64  % (3999)Instructions burned: 17 (million)
% 1.48/0.64  % (3999)------------------------------
% 1.48/0.64  % (3999)------------------------------
% 1.48/0.64  % (3994)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.48/0.64  % (3994)Instruction limit reached!
% 1.48/0.64  % (3994)------------------------------
% 1.48/0.64  % (3994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.64  % (3994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.64  % (3994)Termination reason: Unknown
% 1.48/0.64  % (3994)Termination phase: shuffling
% 1.48/0.64  
% 1.48/0.64  % (3994)Memory used [KB]: 1918
% 1.48/0.64  % (3994)Time elapsed: 0.004 s
% 1.48/0.64  % (3994)Instructions burned: 2 (million)
% 1.48/0.64  % (3994)------------------------------
% 1.48/0.64  % (3994)------------------------------
% 1.48/0.64  % (3985)Instruction limit reached!
% 1.48/0.64  % (3985)------------------------------
% 1.48/0.64  % (3985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.64  % (3985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.64  % (3985)Termination reason: Unknown
% 1.48/0.64  % (3985)Termination phase: Property scanning
% 1.48/0.64  
% 1.48/0.64  % (3985)Memory used [KB]: 1918
% 1.48/0.64  % (3985)Time elapsed: 0.014 s
% 1.48/0.64  % (3985)Instructions burned: 26 (million)
% 1.48/0.64  % (3985)------------------------------
% 1.48/0.64  % (3985)------------------------------
% 1.48/0.64  % (3995)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.48/0.65  % (3982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.65  % (3982)Termination reason: Unknown
% 1.48/0.65  % (3982)Termination phase: Property scanning
% 1.48/0.65  
% 1.48/0.65  % (3982)Memory used [KB]: 1918
% 1.48/0.65  % (3982)Time elapsed: 0.008 s
% 1.48/0.65  % (3982)Instructions burned: 17 (million)
% 1.48/0.65  % (3982)------------------------------
% 1.48/0.65  % (3982)------------------------------
% 1.48/0.65  % (3977)Instruction limit reached!
% 1.48/0.65  % (3977)------------------------------
% 1.48/0.65  % (3977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.65  % (3977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.65  % (3977)Termination reason: Unknown
% 1.48/0.65  % (3977)Termination phase: Property scanning
% 1.48/0.65  
% 1.48/0.65  % (3977)Memory used [KB]: 1918
% 1.48/0.65  % (3977)Time elapsed: 0.016 s
% 1.48/0.65  % (3977)Instructions burned: 34 (million)
% 1.48/0.65  % (3977)------------------------------
% 1.48/0.65  % (3977)------------------------------
% 1.48/0.65  % (4000)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.48/0.65  % (3990)Instruction limit reached!
% 1.48/0.65  % (3990)------------------------------
% 1.48/0.65  % (3990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.65  % (3990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.65  % (3990)Termination reason: Unknown
% 1.48/0.65  % (3990)Termination phase: shuffling
% 1.48/0.65  
% 1.48/0.65  % (3990)Memory used [KB]: 1918
% 1.48/0.65  % (3990)Time elapsed: 0.003 s
% 1.48/0.65  % (3990)Instructions burned: 2 (million)
% 1.48/0.65  % (3990)------------------------------
% 1.48/0.65  % (3990)------------------------------
% 1.48/0.65  % (4009)Instruction limit reached!
% 1.48/0.65  % (4009)------------------------------
% 1.48/0.65  % (4009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.65  % (4009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.65  % (4009)Termination reason: Unknown
% 1.48/0.65  % (4009)Termination phase: Property scanning
% 1.48/0.65  
% 1.48/0.65  % (4009)Memory used [KB]: 1918
% 1.48/0.65  % (4009)Time elapsed: 0.009 s
% 1.48/0.65  % (4009)Instructions burned: 22 (million)
% 1.48/0.65  % (4009)------------------------------
% 1.48/0.65  % (4009)------------------------------
% 1.48/0.65  % (3996)Instruction limit reached!
% 1.48/0.65  % (3996)------------------------------
% 1.48/0.65  % (3996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.65  % (3984)Instruction limit reached!
% 1.48/0.65  % (3984)------------------------------
% 1.48/0.65  % (3984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.65  % (3984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.65  % (3984)Termination reason: Unknown
% 1.48/0.65  % (3984)Termination phase: Including theory axioms
% 1.48/0.65  
% 1.48/0.65  % (3984)Memory used [KB]: 1918
% 1.48/0.65  % (3984)Time elapsed: 0.020 s
% 1.48/0.65  % (3984)Instructions burned: 37 (million)
% 1.48/0.65  % (3984)------------------------------
% 1.48/0.65  % (3984)------------------------------
% 1.48/0.65  % (4003)Instruction limit reached!
% 1.48/0.65  % (4003)------------------------------
% 1.48/0.65  % (4003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.66  % (3983)Instruction limit reached!
% 1.48/0.66  % (3983)------------------------------
% 1.48/0.66  % (3983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.66  % (3983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.66  % (3983)Termination reason: Unknown
% 1.48/0.66  % (3983)Termination phase: Property scanning
% 1.48/0.66  
% 1.48/0.66  % (3983)Memory used [KB]: 1918
% 1.48/0.66  % (3983)Time elapsed: 0.015 s
% 1.48/0.66  % (3983)Instructions burned: 34 (million)
% 1.48/0.66  % (3983)------------------------------
% 1.48/0.66  % (3983)------------------------------
% 1.48/0.66  % (4003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.66  % (4003)Termination reason: Unknown
% 1.48/0.66  % (4003)Termination phase: Preprocessing 1
% 1.48/0.66  
% 1.48/0.66  % (4003)Memory used [KB]: 2686
% 1.48/0.66  % (4003)Time elapsed: 0.029 s
% 1.48/0.66  % (4003)Instructions burned: 50 (million)
% 1.48/0.66  % (4003)------------------------------
% 1.48/0.66  % (4003)------------------------------
% 1.48/0.66  % (3991)Instruction limit reached!
% 1.48/0.66  % (3991)------------------------------
% 1.48/0.66  % (3991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.66  % (3991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.66  % (3991)Termination reason: Unknown
% 1.48/0.66  % (3991)Termination phase: shuffling
% 1.48/0.66  
% 1.48/0.66  % (3991)Memory used [KB]: 1918
% 1.48/0.66  % (3991)Time elapsed: 0.014 s
% 1.48/0.66  % (3991)Instructions burned: 22 (million)
% 1.48/0.66  % (3991)------------------------------
% 1.48/0.66  % (3991)------------------------------
% 1.48/0.66  % (4000)Instruction limit reached!
% 1.48/0.66  % (4000)------------------------------
% 1.48/0.66  % (4000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.66  % (4000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.66  % (4000)Termination reason: Unknown
% 1.48/0.66  % (4000)Termination phase: shuffling
% 1.48/0.66  
% 1.48/0.66  % (4000)Memory used [KB]: 1918
% 1.48/0.66  % (4000)Time elapsed: 0.011 s
% 1.48/0.66  % (4000)Instructions burned: 21 (million)
% 1.48/0.66  % (4000)------------------------------
% 1.48/0.66  % (4000)------------------------------
% 1.48/0.67  % (3981)Instruction limit reached!
% 1.48/0.67  % (3981)------------------------------
% 1.48/0.67  % (3981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.67  % (3981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.67  % (3981)Termination reason: Unknown
% 1.48/0.67  % (3981)Termination phase: Including theory axioms
% 1.48/0.67  
% 1.48/0.67  % (3981)Memory used [KB]: 1918
% 1.48/0.67  % (3981)Time elapsed: 0.016 s
% 1.48/0.67  % (3981)Instructions burned: 38 (million)
% 1.48/0.67  % (3981)------------------------------
% 1.48/0.67  % (3981)------------------------------
% 1.48/0.67  % (3996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.67  % (3996)Termination reason: Unknown
% 1.48/0.67  % (3996)Termination phase: Property scanning
% 1.48/0.67  
% 1.48/0.67  % (3996)Memory used [KB]: 1918
% 1.48/0.67  % (3996)Time elapsed: 0.008 s
% 1.48/0.67  % (3996)Instructions burned: 15 (million)
% 1.48/0.67  % (3996)------------------------------
% 1.48/0.67  % (3996)------------------------------
% 1.48/0.67  % (4010)Instruction limit reached!
% 1.48/0.67  % (4010)------------------------------
% 1.48/0.67  % (4010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.67  % (4010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.67  % (4010)Termination reason: Unknown
% 1.48/0.67  % (4010)Termination phase: SInE selection
% 1.48/0.67  
% 1.48/0.67  % (4010)Memory used [KB]: 1918
% 1.48/0.67  % (4010)Time elapsed: 0.020 s
% 1.48/0.67  % (4010)Instructions burned: 41 (million)
% 1.48/0.67  % (4010)------------------------------
% 1.48/0.67  % (4010)------------------------------
% 1.48/0.68  % (4005)Instruction limit reached!
% 1.48/0.68  % (4005)------------------------------
% 1.48/0.68  % (4005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.68  % (4005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.68  % (4005)Termination reason: Unknown
% 1.48/0.68  % (4005)Termination phase: Preprocessing 1
% 1.48/0.68  
% 1.48/0.68  % (4005)Memory used [KB]: 2046
% 1.48/0.68  % (4005)Time elapsed: 0.019 s
% 1.48/0.68  % (4005)Instructions burned: 42 (million)
% 1.48/0.68  % (4005)------------------------------
% 1.48/0.68  % (4005)------------------------------
% 1.48/0.68  % (4004)Instruction limit reached!
% 1.48/0.68  % (4004)------------------------------
% 1.48/0.68  % (4004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.68  % (4004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.68  % (4004)Termination reason: Unknown
% 1.48/0.68  % (4004)Termination phase: Unused predicate definition removal
% 1.48/0.68  
% 1.48/0.68  % (4004)Memory used [KB]: 2686
% 1.48/0.68  % (4004)Time elapsed: 0.021 s
% 1.48/0.68  % (4004)Instructions burned: 49 (million)
% 1.48/0.68  % (4004)------------------------------
% 1.48/0.68  % (4004)------------------------------
% 1.48/0.69  % (3992)Instruction limit reached!
% 1.48/0.69  % (3992)------------------------------
% 1.48/0.69  % (3992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.69  % (3992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.69  % (3992)Termination reason: Unknown
% 1.48/0.69  % (3992)Termination phase: Preprocessing 2
% 1.48/0.69  
% 1.48/0.69  % (3992)Memory used [KB]: 2814
% 1.48/0.69  % (3992)Time elapsed: 0.023 s
% 1.48/0.69  % (3992)Instructions burned: 51 (million)
% 1.48/0.69  % (3992)------------------------------
% 1.48/0.69  % (3992)------------------------------
% 1.48/0.69  % (3987)Instruction limit reached!
% 1.48/0.69  % (3987)------------------------------
% 1.48/0.69  % (3987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.69  % (3987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.69  % (3987)Termination reason: Unknown
% 1.48/0.69  % (3987)Termination phase: Property scanning
% 1.48/0.69  
% 1.48/0.69  % (3987)Memory used [KB]: 1918
% 1.48/0.69  % (3987)Time elapsed: 0.013 s
% 1.48/0.69  % (3987)Instructions burned: 35 (million)
% 1.48/0.69  % (3987)------------------------------
% 1.48/0.69  % (3987)------------------------------
% 1.48/0.69  % (4007)Instruction limit reached!
% 1.48/0.69  % (4007)------------------------------
% 1.48/0.69  % (4007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.69  % (4007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.69  % (4007)Termination reason: Unknown
% 1.48/0.69  % (4007)Termination phase: Preprocessing 1
% 1.48/0.69  
% 1.48/0.69  % (4007)Memory used [KB]: 2430
% 1.48/0.69  % (4007)Time elapsed: 0.018 s
% 1.48/0.69  % (4007)Instructions burned: 44 (million)
% 1.48/0.69  % (4007)------------------------------
% 1.48/0.69  % (4007)------------------------------
% 1.92/0.69  % (4002)Instruction limit reached!
% 1.92/0.69  % (4002)------------------------------
% 1.92/0.69  % (4002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.69  % (4002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.69  % (4002)Termination reason: Unknown
% 1.92/0.69  % (4002)Termination phase: Preprocessing 1
% 1.92/0.69  
% 1.92/0.69  % (4002)Memory used [KB]: 2046
% 1.92/0.69  % (4002)Time elapsed: 0.022 s
% 1.92/0.69  % (4002)Instructions burned: 47 (million)
% 1.92/0.69  % (4002)------------------------------
% 1.92/0.69  % (4002)------------------------------
% 1.92/0.71  % (3995)Instruction limit reached!
% 1.92/0.71  % (3995)------------------------------
% 1.92/0.71  % (3995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.71  % (4079)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.92/0.71  % (3995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.71  % (3995)Termination reason: Unknown
% 1.92/0.71  % (3995)Termination phase: Preprocessing 1
% 1.92/0.71  
% 1.92/0.71  % (3995)Memory used [KB]: 2430
% 1.92/0.71  % (3995)Time elapsed: 0.024 s
% 1.92/0.71  % (3995)Instructions burned: 50 (million)
% 1.92/0.71  % (3995)------------------------------
% 1.92/0.71  % (3995)------------------------------
% 1.92/0.72  % (4080)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 1.92/0.73  % (4078)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 1.92/0.74  % (4078)Instruction limit reached!
% 1.92/0.74  % (4078)------------------------------
% 1.92/0.74  % (4078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.74  % (4081)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/148Mi)
% 1.92/0.75  % (4085)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.92/0.75  % (4097)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 1.92/0.75  % (4078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.75  % (4078)Termination reason: Unknown
% 1.92/0.75  % (4078)Termination phase: Property scanning
% 1.92/0.75  
% 1.92/0.75  % (4078)Memory used [KB]: 1918
% 1.92/0.75  % (4078)Time elapsed: 0.009 s
% 1.92/0.75  % (4078)Instructions burned: 15 (million)
% 1.92/0.75  % (4078)------------------------------
% 1.92/0.75  % (4078)------------------------------
% 1.92/0.76  % (4088)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 1.92/0.76  % (4080)Instruction limit reached!
% 1.92/0.76  % (4080)------------------------------
% 1.92/0.76  % (4080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.76  % (4080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.76  % (4080)Termination reason: Unknown
% 1.92/0.76  % (4080)Termination phase: Preprocessing 1
% 1.92/0.76  
% 1.92/0.76  % (4080)Memory used [KB]: 2302
% 1.92/0.76  % (4080)Time elapsed: 0.013 s
% 1.92/0.76  % (4080)Instructions burned: 27 (million)
% 1.92/0.76  % (4080)------------------------------
% 1.92/0.76  % (4080)------------------------------
% 1.92/0.76  % (4096)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.05/0.77  % (4086)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 2.05/0.77  % (4098)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.05/0.77  % (4095)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.05/0.78  % (4079)Instruction limit reached!
% 2.05/0.78  % (4079)------------------------------
% 2.05/0.78  % (4079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.78  % (4079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.78  % (4079)Termination reason: Unknown
% 2.05/0.78  % (4079)Termination phase: Preprocessing 2
% 2.05/0.78  
% 2.05/0.78  % (4079)Memory used [KB]: 2302
% 2.05/0.78  % (4079)Time elapsed: 0.021 s
% 2.05/0.78  % (4079)Instructions burned: 47 (million)
% 2.05/0.78  % (4079)------------------------------
% 2.05/0.78  % (4079)------------------------------
% 2.05/0.78  % (4103)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.05/0.78  % (4105)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.05/0.78  % (4107)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.05/0.78  % (4099)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.05/0.78  % (4101)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.05/0.79  % (4114)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.05/0.79  % (4108)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.05/0.79  % (4118)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.05/0.79  % (4115)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.05/0.80  % (4110)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.05/0.80  % (4112)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.11/0.81  % (4088)Instruction limit reached!
% 2.11/0.81  % (4088)------------------------------
% 2.11/0.81  % (4088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.81  % (4128)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.11/0.81  % (4088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.81  % (4088)Termination reason: Unknown
% 2.11/0.81  % (4088)Termination phase: Preprocessing 3
% 2.11/0.81  
% 2.11/0.81  % (4088)Memory used [KB]: 3454
% 2.11/0.81  % (4088)Time elapsed: 0.027 s
% 2.11/0.81  % (4088)Instructions burned: 58 (million)
% 2.11/0.81  % (4088)------------------------------
% 2.11/0.81  % (4088)------------------------------
% 2.11/0.82  % (4127)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.11/0.82  % (4116)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.18/0.83  % (4129)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.18/0.83  % (4130)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.18/0.83  % (4118)First to succeed.
% 2.18/0.84  % (4124)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.18/0.85  % (4139)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/230Mi)
% 2.18/0.85  % (4118)Refutation found. Thanks to Tanya!
% 2.18/0.85  % SZS status Theorem for theBenchmark
% 2.18/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.85  % (4118)------------------------------
% 2.18/0.85  % (4118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.85  % (4118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.85  % (4118)Termination reason: Refutation
% 2.18/0.85  
% 2.18/0.85  % (4118)Memory used [KB]: 6652
% 2.18/0.85  % (4118)Time elapsed: 0.108 s
% 2.18/0.85  % (4118)Instructions burned: 42 (million)
% 2.18/0.85  % (4118)------------------------------
% 2.18/0.85  % (4118)------------------------------
% 2.18/0.85  % (3943)Success in time 0.469 s
%------------------------------------------------------------------------------