%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP396_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:39:33 AM UTC 2026
% Result : Theorem 10.61s 3.15s
% Output : Refutation 10.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 58 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 45 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 21 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 59 ( 57 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 165 ( 163 usr; 1 prp; 0-3 aty)
% Number of functors : 379 ( 379 usr; 38 con; 0-3 aty)
% Number of variables : 80 ( 80 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).
tff(type_def_6,type,
'Nat_c_ell2_c_ell2_cblinfun_fun$': $tType ).
tff(type_def_7,type,
'Nat_unit_fun$': $tType ).
tff(type_def_8,type,
'A_ell2_a_ell2_cblinfun$': $tType ).
tff(type_def_9,type,
'Unit_set$': $tType ).
tff(type_def_10,type,
'Int_bool_fun$': $tType ).
tff(type_def_11,type,
'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).
tff(type_def_12,type,
'Nat_a_ell2_a_ell2_cblinfun_sum_set$': $tType ).
tff(type_def_13,type,
'Unit_unit_fun$': $tType ).
tff(type_def_14,type,
'B_ell2_b_ell2_cblinfun$': $tType ).
tff(type_def_15,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_16,type,
'B_ell2_b_ell2_cblinfun_unit_fun$': $tType ).
tff(type_def_17,type,
'B_ell2_c_ell2_cblinfun$': $tType ).
tff(type_def_18,type,
'C_ell2_c_ell2_cblinfun_set_bool_fun$': $tType ).
tff(type_def_19,type,
'C_ell2_c_ell2_cblinfun$': $tType ).
tff(type_def_20,type,
'C_ell2_c_ell2_cblinfun_bool_fun$': $tType ).
tff(type_def_21,type,
'Unit_nat_fun$': $tType ).
tff(type_def_22,type,
'Int_int_fun$': $tType ).
tff(type_def_23,type,
'A_ell2_a_ell2_cblinfun_nat_fun$': $tType ).
tff(type_def_24,type,
'Nat_nat_fun$': $tType ).
tff(type_def_25,type,
'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).
tff(type_def_26,type,
'Unit_unit_sum_set$': $tType ).
tff(type_def_27,type,
'Nat$': $tType ).
tff(type_def_28,type,
'Nat_b_ell2_b_ell2_cblinfun_sum_set$': $tType ).
tff(type_def_29,type,
'A_ell2_a_ell2_cblinfun_bool_fun$': $tType ).
tff(type_def_30,type,
'Nat_b_ell2_b_ell2_cblinfun_fun$': $tType ).
tff(type_def_31,type,
'B_ell2_b_ell2_cblinfun_unit_sum_set$': $tType ).
tff(type_def_32,type,
'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$': $tType ).
tff(type_def_33,type,
'Nat_nat_sum_set$': $tType ).
tff(type_def_34,type,
'A_ell2_a_ell2_cblinfun_nat_sum_set$': $tType ).
tff(type_def_35,type,
'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).
tff(type_def_36,type,
'B_ell2_b_ell2_cblinfun_set$': $tType ).
tff(type_def_37,type,
'C_ell2_c_ell2_cblinfun_nat_fun$': $tType ).
tff(type_def_38,type,
'Unit_a_ell2_a_ell2_cblinfun_fun$': $tType ).
tff(type_def_39,type,
'A_ell2_a_ell2_cblinfun_set$': $tType ).
tff(type_def_40,type,
'Unit_b_ell2_b_ell2_cblinfun_fun$': $tType ).
tff(type_def_41,type,
'B_ell2_b_ell2_cblinfun_nat_fun$': $tType ).
tff(type_def_42,type,
'Nat_unit_sum_set$': $tType ).
tff(type_def_43,type,
'A_ell2_a_ell2_cblinfun_unit_fun$': $tType ).
tff(type_def_44,type,
'Unit_bool_fun$': $tType ).
tff(type_def_45,type,
'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).
tff(type_def_46,type,
'A_ell2_a_ell2_cblinfun_unit_sum_set$': $tType ).
tff(type_def_47,type,
'Unit_nat_sum_set$': $tType ).
tff(type_def_48,type,
'B_ell2_b_ell2_cblinfun_nat_sum_set$': $tType ).
tff(type_def_49,type,
'Unit_c_ell2_c_ell2_cblinfun_fun$': $tType ).
tff(type_def_50,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_51,type,
'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).
tff(type_def_52,type,
'Unit$': $tType ).
tff(type_def_53,type,
'Nat_bool_fun$': $tType ).
tff(type_def_54,type,
'Unit_ell2_set$': $tType ).
tff(type_def_55,type,
'B_ell2_b_ell2_cblinfun_bool_fun$': $tType ).
tff(type_def_56,type,
'Nat_a_ell2_a_ell2_cblinfun_fun$': $tType ).
tff(type_def_57,type,
'Nat_set$': $tType ).
tff(type_def_58,type,
'A_ell2_c_ell2_cblinfun$': $tType ).
tff(type_def_59,type,
'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$': $tType ).
tff(type_def_60,type,
'C_ell2_c_ell2_cblinfun_set$': $tType ).
tff(type_def_61,type,
'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$': $tType ).
tff(func_def_0,type,
'the_inv_into$a': ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_1,type,
'inv_into$s': ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_2,type,
'top$i': 'C_ell2_c_ell2_cblinfun_bool_fun$' ).
tff(func_def_3,type,
'fun_app$y': ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_4,type,
'image$b': ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_5,type,
'image$r': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_6,type,
'image$w': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_7,type,
'fun_app$aa': ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Unit$' ).
tff(func_def_8,type,
'card$': 'C_ell2_c_ell2_cblinfun_set$' > 'Nat$' ).
tff(func_def_9,type,
'image$i': ( 'Unit_nat_fun$' * 'Unit_set$' ) > 'Nat_set$' ).
tff(func_def_10,type,
'fun_app$m': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_11,type,
'the_inv_into$c': ( 'Nat_set$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_nat_fun$' ).
tff(func_def_12,type,
'fun_app$o': ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_13,type,
'cconstruct$a': ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_14,type,
'the_inv_into$f': ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_15,type,
'image$a': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_16,type,
'collect$b': 'Nat_bool_fun$' > 'Nat_set$' ).
tff(func_def_17,type,
'image$s': ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_18,type,
'the_inv_into$b': ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_19,type,
'sandwich$a': 'B_ell2_c_ell2_cblinfun$' > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_20,type,
'cspan$': 'C_ell2_c_ell2_cblinfun_set$' > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_21,type,
'fun_app$v': ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'Nat$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_22,type,
'fun_app$r': ( 'Unit_nat_fun$' * 'Unit$' ) > 'Nat$' ).
tff(func_def_23,type,
'cextend_basis$a': 'A_ell2_a_ell2_cblinfun_set$' > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_24,type,
'fun_app$d': ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_25,type,
'top$o': 'B_ell2_b_ell2_cblinfun_nat_sum_set$' ).
tff(func_def_26,type,
'image$q': ( 'Unit_a_ell2_a_ell2_cblinfun_fun$' * 'Unit_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_27,type,
'fun_app$k': ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_28,type,
'cdim$a': 'C_ell2_c_ell2_cblinfun_set$' > 'Nat$' ).
tff(func_def_29,type,
'image$g': ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'Nat_set$' ).
tff(func_def_30,type,
'f$': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_31,type,
'top$p': 'B_ell2_b_ell2_cblinfun_unit_sum_set$' ).
tff(func_def_32,type,
'top$e': 'B_ell2_b_ell2_cblinfun_bool_fun$' ).
tff(func_def_33,type,
'inv_into$f': ( 'Nat_set$' * 'Nat_unit_fun$' ) > 'Unit_nat_fun$' ).
tff(func_def_34,type,
'card$a': 'B_ell2_b_ell2_cblinfun_set$' > 'Nat$' ).
tff(func_def_35,type,
'fun_app$f': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_36,type,
'top$j': 'Unit_ell2_set$' ).
tff(func_def_37,type,
'image$t': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_38,type,
'finite$a': 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ).
tff(func_def_39,type,
'top$': 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_40,type,
'image$m': ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'Unit_set$' ).
tff(func_def_41,type,
'csubspace$': 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ).
tff(func_def_42,type,
'image$l': ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'Unit_set$' ).
tff(func_def_43,type,
'image$d': ( 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'Nat_set$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_44,type,
'fun_app$i': ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_45,type,
'uminus$': 'B_ell2_b_ell2_cblinfun_set$' > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_46,type,
'fun_app$l': ( 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'Nat$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_47,type,
'inv_into$a': ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_48,type,
'top$t': 'Nat_a_ell2_a_ell2_cblinfun_sum_set$' ).
tff(func_def_49,type,
'card$b': 'A_ell2_a_ell2_cblinfun_set$' > 'Nat$' ).
tff(func_def_50,type,
'fun_app$x': ( 'Nat_unit_fun$' * 'Nat$' ) > 'Unit$' ).
tff(func_def_51,type,
'inj_on$n': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ).
tff(func_def_52,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_53,type,
'cblinfun_compose$b': 'B_ell2_b_ell2_cblinfun$' > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_54,type,
'cspan$b': 'B_ell2_b_ell2_cblinfun_set$' > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_55,type,
'uminus$a': 'C_ell2_c_ell2_cblinfun_set$' > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_56,type,
'fun_app$p': ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_57,type,
'top$c': 'Nat_set$' ).
tff(func_def_58,type,
'inv_into$e': ( 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_59,type,
'inj_on$r': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ).
tff(func_def_60,type,
'b$': 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_61,type,
'member$': 'C_ell2_c_ell2_cblinfun$' > 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ).
tff(func_def_62,type,
'image$n': ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'Nat_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_63,type,
'top$d': 'Unit_set$' ).
tff(func_def_64,type,
'collect$a': 'A_ell2_a_ell2_cblinfun_bool_fun$' > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_65,type,
'sandwich$': 'A_ell2_c_ell2_cblinfun$' > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_66,type,
'image$': ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_67,type,
'top$l': 'Nat_unit_sum_set$' ).
tff(func_def_68,type,
'image$u': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_69,type,
'fun_app$ab': ( 'Unit_a_ell2_a_ell2_cblinfun_fun$' * 'Unit$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_70,type,
'cextend_basis$': 'B_ell2_b_ell2_cblinfun_set$' > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_71,type,
'cdim$b': 'B_ell2_b_ell2_cblinfun_set$' > 'Nat$' ).
tff(func_def_72,type,
'top$r': 'A_ell2_a_ell2_cblinfun_unit_sum_set$' ).
tff(func_def_73,type,
'fun_app$c': ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_74,type,
'i$': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_75,type,
'inv_into$j': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_unit_fun$' ) > 'Unit_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_76,type,
'the_inv_into$e': ( 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_77,type,
'uminus$g': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_78,type,
'card$c': 'Unit_set$' > 'Nat$' ).
tff(func_def_79,type,
'fun_app$q': ( 'Unit_c_ell2_c_ell2_cblinfun_fun$' * 'Unit$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_80,type,
'fun_app$ac': ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Unit$' ).
tff(func_def_81,type,
'uminus$c': 'Nat_set$' > 'Nat_set$' ).
tff(func_def_82,type,
'fun_app$z': ( 'Unit_b_ell2_b_ell2_cblinfun_fun$' * 'Unit$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_83,type,
'top$f': 'A_ell2_a_ell2_cblinfun_bool_fun$' ).
tff(func_def_84,type,
'cdim$': 'A_ell2_a_ell2_cblinfun_set$' > 'Nat$' ).
tff(func_def_85,type,
'cdim$c': 'Unit_ell2_set$' > 'Nat$' ).
tff(func_def_86,type,
'top$h': 'Unit_bool_fun$' ).
tff(func_def_87,type,
'inv_into$r': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_88,type,
'uminus$b': 'A_ell2_a_ell2_cblinfun_set$' > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_89,type,
'image$v': ( 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_90,type,
'image$k': ( 'Unit_unit_fun$' * 'Unit_set$' ) > 'Unit_set$' ).
tff(func_def_91,type,
'g$': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_92,type,
'the_inv_into$d': ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_nat_fun$' ) > 'Nat_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_93,type,
'inv_into$m': ( 'Nat_set$' * 'Nat_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_nat_fun$' ).
tff(func_def_94,type,
'uminus$d': 'Unit_set$' > 'Unit_set$' ).
tff(func_def_95,type,
'fun_app$n': ( 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_96,type,
'cdependent$': 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ).
tff(func_def_97,type,
'top$q': 'A_ell2_a_ell2_cblinfun_nat_sum_set$' ).
tff(func_def_98,type,
'collect$d': 'C_ell2_c_ell2_cblinfun_bool_fun$' > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_99,type,
'fun_app$af': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_100,type,
'top$s': 'Nat_b_ell2_b_ell2_cblinfun_sum_set$' ).
tff(func_def_101,type,
'inv_into$': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_102,type,
'inv_into$q': ( 'Unit_set$' * 'Unit_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'Unit$' ).
tff(func_def_103,type,
'fun_app$g': ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_104,type,
'fun_app$ad': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_105,type,
'uu$': 'C_ell2_c_ell2_cblinfun_set$' > 'C_ell2_c_ell2_cblinfun_bool_fun$' ).
tff(func_def_106,type,
'image$h': ( 'Unit_c_ell2_c_ell2_cblinfun_fun$' * 'Unit_set$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_107,type,
'inv_into$c': ( 'Nat_set$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_nat_fun$' ).
tff(func_def_108,type,
'image$j': ( 'Nat_unit_fun$' * 'Nat_set$' ) > 'Unit_set$' ).
tff(func_def_109,type,
'uminus$f': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_110,type,
'fun_app$h': ( 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_111,type,
'image$o': ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'Nat_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_112,type,
'image$f': ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'Nat_set$' ).
tff(func_def_113,type,
'j$': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_114,type,
'cconstruct$': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_115,type,
'the_inv_into$': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_116,type,
'cblinfun_compose$a': 'C_ell2_c_ell2_cblinfun$' > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_117,type,
'cspan$a': 'A_ell2_a_ell2_cblinfun_set$' > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_118,type,
'a$': 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_119,type,
'inv_into$g': ( 'Unit_set$' * 'Unit_nat_fun$' ) > 'Nat_unit_fun$' ).
tff(func_def_120,type,
'inv_into$p': ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_121,type,
'nat$': $int > 'Nat$' ).
tff(func_def_122,type,
'fun_app$e': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_123,type,
'cblinfun_compose$': 'A_ell2_a_ell2_cblinfun$' > 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_124,type,
'inv_into$k': ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'Nat_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_125,type,
'image$p': ( 'Unit_b_ell2_b_ell2_cblinfun_fun$' * 'Unit_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_126,type,
'inv_into$i': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'Nat_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_127,type,
'inj_on$o': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ).
tff(func_def_128,type,
'the_inv_into$g': ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_129,type,
'top$m': 'Unit_nat_sum_set$' ).
tff(func_def_130,type,
'inv_into$n': ( 'Nat_set$' * 'Nat_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_nat_fun$' ).
tff(func_def_131,type,
'image$c': ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'Nat_set$' ).
tff(func_def_132,type,
'inv_into$l': ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_unit_fun$' ) > 'Unit_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_133,type,
'inv_into$o': ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_134,type,
'top$a': 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_135,type,
'inj_on$s': 'C_ell2_c_ell2_cblinfun_nat_fun$' > 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ).
tff(func_def_136,type,
'top$k': 'Nat_nat_sum_set$' ).
tff(func_def_137,type,
'collect$c': 'Unit_bool_fun$' > 'Unit_set$' ).
tff(func_def_138,type,
'fun_app$ag': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_139,type,
'fun_app$t': ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'Nat$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_140,type,
'uua$': 'Nat_set$' > 'Nat_bool_fun$' ).
tff(func_def_141,type,
'collect$': 'B_ell2_b_ell2_cblinfun_bool_fun$' > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_142,type,
'top$b': 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_143,type,
'top$g': 'Nat_bool_fun$' ).
tff(func_def_144,type,
'uminus$e': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_145,type,
'less_eq$': 'C_ell2_c_ell2_cblinfun_set$' > 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ).
tff(func_def_146,type,
'inv_into$h': ( 'Unit_set$' * 'Unit_unit_fun$' ) > 'Unit_unit_fun$' ).
tff(func_def_147,type,
'inv_into$b': ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_148,type,
'fun_app$j': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_149,type,
'image$e': ( 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat_set$' ).
tff(func_def_150,type,
'inv_into$d': ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_nat_fun$' ) > 'Nat_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_151,type,
'top$n': 'Unit_unit_sum_set$' ).
tff(func_def_157,type,
sK91: ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_158,type,
sK92: ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_159,type,
sK93: ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_160,type,
sK94: ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_161,type,
sK95: ( 'C_ell2_c_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_162,type,
sK96: ( 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_163,type,
sK97: ( 'C_ell2_c_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_164,type,
sK98: ( 'C_ell2_c_ell2_cblinfun$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_165,type,
sK99: ( 'Nat$' * 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_166,type,
sK100: ( 'Nat$' * 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_167,type,
sK101: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_168,type,
sK102: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_169,type,
sK103: ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_170,type,
sK104: ( 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'Nat_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'Nat$' ).
tff(func_def_171,type,
sK105: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'Nat_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_172,type,
sK106: ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_173,type,
sK107: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_174,type,
sK108: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_175,type,
sK109: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_176,type,
sK110: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_177,type,
sK111: ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_178,type,
sK112: ( 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'Nat_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_179,type,
sK113: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_180,type,
sK114: ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_181,type,
sK115: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'B_ell2_b_ell2_cblinfun_bool_fun$' ) > 'Nat$' ).
tff(func_def_182,type,
sK116: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_183,type,
sK117: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'A_ell2_a_ell2_cblinfun_bool_fun$' ) > 'Nat$' ).
tff(func_def_184,type,
sK118: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_185,type,
sK119: ( 'Nat_nat_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_186,type,
sK120: ( 'Unit_nat_fun$' * 'Unit_bool_fun$' ) > 'Nat$' ).
tff(func_def_187,type,
sK121: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_188,type,
sK122: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_189,type,
sK123: ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_190,type,
sK124: ( 'Nat_unit_fun$' * 'Unit_nat_fun$' ) > 'Nat$' ).
tff(func_def_191,type,
sK125: ( 'Unit_nat_fun$' * 'Nat_unit_fun$' ) > 'Unit$' ).
tff(func_def_192,type,
sK126: ( 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).
tff(func_def_193,type,
sK127: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_194,type,
sK128: ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'Unit_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_195,type,
sK129: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_196,type,
sK130: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_197,type,
sK131: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'Nat$' ).
tff(func_def_198,type,
sK132: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'Nat$' ).
tff(func_def_199,type,
sK133: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_200,type,
sK134: 'Nat_unit_fun$' > 'Unit$' ).
tff(func_def_201,type,
sK135: 'Unit_nat_fun$' > 'Nat$' ).
tff(func_def_202,type,
sK136: 'Unit_unit_fun$' > 'Unit$' ).
tff(func_def_203,type,
sK137: 'B_ell2_b_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_204,type,
sK138: 'B_ell2_b_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_205,type,
sK139: 'A_ell2_a_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_206,type,
sK140: 'A_ell2_a_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_207,type,
sK141: 'Nat_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_208,type,
sK142: 'Nat_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_209,type,
sK143: 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_210,type,
sK144: 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_211,type,
sK145: 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_212,type,
sK146: 'Nat$' ).
tff(func_def_213,type,
sK147: 'Unit$' ).
tff(func_def_214,type,
sK148: 'C_ell2_c_ell2_cblinfun_set$' > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_215,type,
sK149: 'B_ell2_b_ell2_cblinfun_set$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_216,type,
sK150: 'A_ell2_a_ell2_cblinfun_set$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_217,type,
sK151: 'Nat_set$' > 'Nat$' ).
tff(func_def_218,type,
sK152: 'Unit_set$' > 'Unit$' ).
tff(func_def_219,type,
sK153: ( 'C_ell2_c_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_220,type,
sK154: ( 'C_ell2_c_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_221,type,
sK155: ( 'Nat$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_222,type,
sK156: ( 'Nat$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_223,type,
sK157: ( 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_224,type,
sK158: ( 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_225,type,
sK159: ( 'Nat$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_226,type,
sK160: ( 'Nat$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_227,type,
sK161: ( 'Nat$' * 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_228,type,
sK162: ( 'Nat$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_229,type,
sK163: ( 'Nat$' * 'Unit_nat_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_230,type,
sK164: ( 'Nat$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_231,type,
sK165: ( 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_232,type,
sK166: ( 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_233,type,
sK167: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_234,type,
sK168: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_235,type,
sK169: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_236,type,
sK170: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_237,type,
sK171: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_238,type,
sK172: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_239,type,
sK173: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_240,type,
sK174: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_241,type,
sK175: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_242,type,
sK176: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_243,type,
sK177: ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_244,type,
sK178: ( 'Nat_unit_fun$' * 'Unit$' ) > 'Nat$' ).
tff(func_def_245,type,
sK179: ( 'Unit_nat_fun$' * 'Nat$' ) > 'Unit$' ).
tff(func_def_246,type,
sK180: ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_247,type,
sK181: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_248,type,
sK182: ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_249,type,
sK183: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_250,type,
sK184: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_251,type,
sK185: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_252,type,
sK186: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_253,type,
sK187: ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_254,type,
sK188: ( 'Nat_unit_fun$' * 'Unit$' ) > 'Nat$' ).
tff(func_def_255,type,
sK189: ( 'Unit_nat_fun$' * 'Nat$' ) > 'Unit$' ).
tff(func_def_256,type,
sK190: ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_257,type,
sK191: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_258,type,
sK192: ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_259,type,
sK193: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_260,type,
sK194: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_261,type,
sK195: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_262,type,
sK196: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_263,type,
sK197: ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_264,type,
sK198: ( 'Nat_unit_fun$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_265,type,
sK199: ( 'Unit_nat_fun$' * 'Nat_unit_fun$' ) > 'Nat$' ).
tff(func_def_266,type,
sK200: ( 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).
tff(func_def_267,type,
sK201: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat_b_ell2_b_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_268,type,
sK202: ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'Unit_b_ell2_b_ell2_cblinfun_fun$' ) > 'Unit$' ).
tff(func_def_269,type,
sK203: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat_a_ell2_a_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_270,type,
sK204: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit_a_ell2_a_ell2_cblinfun_fun$' ) > 'Unit$' ).
tff(func_def_271,type,
sK205: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_272,type,
sK206: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_273,type,
sK207: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_274,type,
sK208: ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_275,type,
sK209: 'Nat_unit_fun$' > 'Unit$' ).
tff(func_def_276,type,
sK210: ( 'Nat_unit_fun$' * 'Unit$' ) > 'Nat$' ).
tff(func_def_277,type,
sK211: 'Unit_nat_fun$' > 'Nat$' ).
tff(func_def_278,type,
sK212: ( 'Unit_nat_fun$' * 'Nat$' ) > 'Unit$' ).
tff(func_def_279,type,
sK213: 'Unit_unit_fun$' > 'Unit$' ).
tff(func_def_280,type,
sK214: ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_281,type,
sK215: 'B_ell2_b_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_282,type,
sK216: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_283,type,
sK217: 'B_ell2_b_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_284,type,
sK218: ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_285,type,
sK219: 'A_ell2_a_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_286,type,
sK220: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_287,type,
sK221: 'A_ell2_a_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_288,type,
sK222: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_289,type,
sK223: 'Nat_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_290,type,
sK224: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_291,type,
sK225: 'Nat_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_292,type,
sK226: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_293,type,
sK227: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_294,type,
sK228: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_295,type,
sK229: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_296,type,
sK230: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_297,type,
sK231: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_298,type,
sK232: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_299,type,
sK233: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_300,type,
sK234: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_301,type,
sK235: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_302,type,
sK236: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_303,type,
sK237: 'Int_int_fun$' > $int ).
tff(func_def_304,type,
sK238: 'Int_int_fun$' > $int ).
tff(func_def_305,type,
sK239: 'Int_int_fun$' > $int ).
tff(func_def_306,type,
sK240: 'Int_int_fun$' > $int ).
tff(func_def_307,type,
sK241: 'Int_int_fun$' > $int ).
tff(func_def_308,type,
sK242: 'Int_int_fun$' > $int ).
tff(func_def_309,type,
sK243: 'Int_int_fun$' > $int ).
tff(func_def_310,type,
sK244: 'Int_int_fun$' > $int ).
tff(func_def_311,type,
sK245: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_312,type,
sK246: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_313,type,
sK247: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_314,type,
sK248: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_315,type,
sK249: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_316,type,
sK250: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_317,type,
sK251: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_318,type,
sK252: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_319,type,
sK253: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_320,type,
sK254: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_321,type,
sK255: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_322,type,
sK256: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'Nat_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_323,type,
sK257: ( 'Nat_set$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'Nat$' ).
tff(func_def_324,type,
sK258: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_325,type,
sK259: ( 'C_ell2_c_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_326,type,
sK260: ( 'C_ell2_c_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_327,type,
sK261: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_328,type,
sK262: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_329,type,
sK263: ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_330,type,
sK264: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'Nat_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_331,type,
sK265: ( 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'Nat_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'Nat$' ).
tff(func_def_332,type,
sK266: ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_333,type,
sK267: ( 'C_ell2_c_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_334,type,
sK268: ( 'C_ell2_c_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_335,type,
sK269: ( 'C_ell2_c_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_336,type,
sK270: ( 'C_ell2_c_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_337,type,
sK271: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_338,type,
sK272: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_339,type,
sK273: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_340,type,
sK274: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_341,type,
sK275: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_342,type,
sK276: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_343,type,
sK277: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_344,type,
sK278: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_345,type,
sK279: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_346,type,
sK280: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_347,type,
sK281: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_348,type,
sK282: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_349,type,
sK283: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_350,type,
sK284: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_351,type,
sK285: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_352,type,
sK286: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_353,type,
sK287: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_354,type,
sK288: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_355,type,
sK289: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_356,type,
sK290: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_357,type,
sK291: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_358,type,
sK292: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_359,type,
sK293: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_360,type,
sK294: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_361,type,
sK295: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_362,type,
sK296: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_363,type,
sK297: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_364,type,
sK298: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_365,type,
sK299: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_366,type,
sK300: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_367,type,
sK301: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_368,type,
sK302: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_369,type,
sK303: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_370,type,
sK304: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_371,type,
sK305: ( 'Nat$' * 'Unit_set$' ) > 'Unit_set$' ).
tff(func_def_372,type,
sK306: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_373,type,
sK307: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_374,type,
sK308: 'Nat_set$' > 'Nat$' ).
tff(func_def_375,type,
sK309: ( 'Nat_set$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_376,type,
sK310: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_377,type,
sK311: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_378,type,
sK312: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_379,type,
sK313: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_380,type,
sK314: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_381,type,
sK315: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_382,type,
sK316: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_383,type,
sK317: 'Nat$' > 'Nat$' ).
tff(pred_def_1,type,
'csubspace$a': 'A_ell2_a_ell2_cblinfun_set$' > $o ).
tff(pred_def_2,type,
'finite$g': 'Unit_nat_sum_set$' > $o ).
tff(pred_def_3,type,
'cdependent$b': 'B_ell2_b_ell2_cblinfun_set$' > $o ).
tff(pred_def_4,type,
'inj_on$b': ( 'Nat_nat_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_5,type,
'fun_app$a': ( 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_6,type,
'bijection$c': 'Unit_unit_fun$' > $o ).
tff(pred_def_7,type,
'register$e': 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).
tff(pred_def_8,type,
'finite$l': 'A_ell2_a_ell2_cblinfun_unit_sum_set$' > $o ).
tff(pred_def_9,type,
'inj_on$c': ( 'Unit_nat_fun$' * 'Unit_set$' ) > $o ).
tff(pred_def_10,type,
'less_eq$c': ( 'Nat_set$' * 'Nat_set$' ) > $o ).
tff(pred_def_11,type,
'finite$m': 'Nat_b_ell2_b_ell2_cblinfun_sum_set$' > $o ).
tff(pred_def_12,type,
'fun_app$s': ( 'B_ell2_b_ell2_cblinfun_bool_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > $o ).
tff(pred_def_13,type,
'member$a': ( 'Nat$' * 'Nat_set$' ) > $o ).
tff(pred_def_14,type,
'less_eq$d': ( 'Unit_set$' * 'Unit_set$' ) > $o ).
tff(pred_def_15,type,
'fun_app$u': ( 'A_ell2_a_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > $o ).
tff(pred_def_16,type,
'inj_on$f': ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_17,type,
'finite$c': 'Nat_nat_sum_set$' > $o ).
tff(pred_def_18,type,
'member$b': ( 'B_ell2_b_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_19,type,
'inj_on$g': ( 'Unit_b_ell2_b_ell2_cblinfun_fun$' * 'Unit_set$' ) > $o ).
tff(pred_def_20,type,
'inj_on$l': ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_21,type,
'inj_on$k': ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_22,type,
'member$d': ( 'Unit$' * 'Unit_set$' ) > $o ).
tff(pred_def_23,type,
'fun_app$ae': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_24,type,
'clinear$d': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).
tff(pred_def_25,type,
'inj_on$p': ( 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_26,type,
'finite$e': 'Nat_unit_sum_set$' > $o ).
tff(pred_def_27,type,
'clinear$f': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).
tff(pred_def_28,type,
'finite$b': 'B_ell2_b_ell2_cblinfun_set$' > $o ).
tff(pred_def_29,type,
'finite$f': 'Unit_set$' > $o ).
tff(pred_def_30,type,
'fun_app$w': ( 'Unit_bool_fun$' * 'Unit$' ) > $o ).
tff(pred_def_31,type,
'clinear$a': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).
tff(pred_def_32,type,
'inj_on$e': ( 'Unit_unit_fun$' * 'Unit_set$' ) > $o ).
tff(pred_def_33,type,
'csubspace$b': 'B_ell2_b_ell2_cblinfun_set$' > $o ).
tff(pred_def_34,type,
'inj_on$j': ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_35,type,
'finite$i': 'B_ell2_b_ell2_cblinfun_nat_sum_set$' > $o ).
tff(pred_def_36,type,
'member$c': ( 'A_ell2_a_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_37,type,
'inj_on$d': ( 'Nat_unit_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_38,type,
'less_eq$b': ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_39,type,
'register$c': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).
tff(pred_def_40,type,
'bijection$': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).
tff(pred_def_41,type,
'finite$n': 'Nat_a_ell2_a_ell2_cblinfun_sum_set$' > $o ).
tff(pred_def_42,type,
'cdependent$a': 'A_ell2_a_ell2_cblinfun_set$' > $o ).
tff(pred_def_43,type,
'inj_on$h': ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_44,type,
'register$': 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).
tff(pred_def_45,type,
'clinear$g': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).
tff(pred_def_46,type,
'inj_on$': ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_47,type,
'register$d': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).
tff(pred_def_48,type,
'inj_on$q': ( 'Unit_c_ell2_c_ell2_cblinfun_fun$' * 'Unit_set$' ) > $o ).
tff(pred_def_49,type,
'fun_app$b': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_50,type,
'inj_on$i': ( 'Unit_a_ell2_a_ell2_cblinfun_fun$' * 'Unit_set$' ) > $o ).
tff(pred_def_51,type,
'register$b': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).
tff(pred_def_52,type,
'finite$j': 'B_ell2_b_ell2_cblinfun_unit_sum_set$' > $o ).
tff(pred_def_53,type,
'clinear$e': 'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).
tff(pred_def_54,type,
'register$g': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).
tff(pred_def_55,type,
'clinear$': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).
tff(pred_def_56,type,
'bijection$a': 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).
tff(pred_def_57,type,
'inj_on$m': ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_58,type,
'finite$k': 'A_ell2_a_ell2_cblinfun_nat_sum_set$' > $o ).
tff(pred_def_59,type,
'inj_on$t': ( 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_60,type,
'finite$': 'A_ell2_a_ell2_cblinfun_set$' > $o ).
tff(pred_def_61,type,
'finite$h': 'Unit_unit_sum_set$' > $o ).
tff(pred_def_62,type,
'less_eq$a': ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_63,type,
'clinear$b': 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' > $o ).
tff(pred_def_64,type,
'finite$d': 'Nat_set$' > $o ).
tff(pred_def_65,type,
'register$h': 'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).
tff(pred_def_66,type,
'clinear$c': 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).
tff(pred_def_67,type,
'register$a': 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > $o ).
tff(pred_def_68,type,
'bijection$b': 'Nat_nat_fun$' > $o ).
tff(pred_def_69,type,
'inj_on$a': ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_70,type,
'register$f': 'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' > $o ).
tff(pred_def_71,type,
'fun_app$': ( 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > $o ).
tff(pred_def_72,type,
'inj_on$u': ( 'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_75,type,
sP0: ( 'C_ell2_c_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_76,type,
sP1: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > $o ).
tff(pred_def_77,type,
sP2: ( 'Nat$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > $o ).
tff(pred_def_78,type,
sP3: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' ) > $o ).
tff(pred_def_79,type,
sP4: ( 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_80,type,
sP5: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > $o ).
tff(pred_def_81,type,
sP6: ( 'Nat$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > $o ).
tff(pred_def_82,type,
sP7: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat$' ) > $o ).
tff(pred_def_83,type,
sP8: ( 'Nat$' * 'Nat_nat_fun$' ) > $o ).
tff(pred_def_84,type,
sP9: ( 'Nat_nat_fun$' * 'Nat$' ) > $o ).
tff(pred_def_85,type,
sP10: ( 'Nat$' * 'Unit_nat_fun$' ) > $o ).
tff(pred_def_86,type,
sP11: ( 'Unit_nat_fun$' * 'Nat$' ) > $o ).
tff(pred_def_87,type,
sP12: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_88,type,
sP13: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_89,type,
sP14: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_90,type,
sP15: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_91,type,
sP16: 'Int_int_bool_fun_fun$' > $o ).
tff(pred_def_92,type,
sP17: ( $int * $int * $int ) > $o ).
tff(pred_def_93,type,
sP18: ( $int * $int * $int ) > $o ).
tff(pred_def_94,type,
sP19: ( $int * $int * $int ) > $o ).
tff(pred_def_95,type,
sP20: ( $int * $int * $int ) > $o ).
tff(pred_def_96,type,
sP21: ( $int * $int * $int ) > $o ).
tff(pred_def_97,type,
sP22: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_98,type,
sP23: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_99,type,
sP24: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_100,type,
sP25: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_101,type,
sP26: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_102,type,
sP27: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_103,type,
sP28: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_104,type,
sP29: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_105,type,
sP30: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_106,type,
sP31: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_107,type,
sP32: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_108,type,
sP33: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_109,type,
sP34: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_110,type,
sP35: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_111,type,
sP36: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_112,type,
sP37: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > $o ).
tff(pred_def_113,type,
sP38: ( 'Nat$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_114,type,
sP39: 'Nat_nat_bool_fun_fun$' > $o ).
tff(pred_def_115,type,
sP40: ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_116,type,
sP41: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_117,type,
sP42: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_118,type,
sP43: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_119,type,
sP44: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_120,type,
sP45: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_121,type,
sP46: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_122,type,
sP47: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_123,type,
sP48: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_124,type,
sP49: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_125,type,
sP50: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_126,type,
sP51: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_127,type,
sP52: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_128,type,
sP53: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_129,type,
sP54: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_130,type,
sP55: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_131,type,
sP56: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_132,type,
sP57: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_133,type,
sP58: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_134,type,
sP59: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_135,type,
sP60: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_136,type,
sP61: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_137,type,
sP62: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_138,type,
sP63: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_139,type,
sP64: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_140,type,
sP65: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_141,type,
sP66: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_142,type,
sP67: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_143,type,
sP68: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_144,type,
sP69: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_145,type,
sP70: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_146,type,
sP71: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_147,type,
sP72: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_148,type,
sP73: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_149,type,
sP74: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_150,type,
sP75: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_151,type,
sP76: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_152,type,
sP77: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_153,type,
sP78: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_154,type,
sP79: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_155,type,
sP80: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_156,type,
sP81: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_157,type,
sP82: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_158,type,
sP83: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_159,type,
sP84: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_160,type,
sP85: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_161,type,
sP86: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_162,type,
sP87: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_163,type,
sP88: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_164,type,
sP89: ( 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_165,type,
sP90: ( 'Nat$' * 'Nat$' ) > $o ).
tff(f3,conjecture,
'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')))) = 'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','a$')))),'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','b$')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture2) ).
tff(f4,negated_conjecture,
( ( ~ 'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')))) ) = 'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','a$')))),'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','b$')))) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f7,axiom,
'register$a'('f$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom5) ).
tff(f8,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$h'('j$',X0) = 'fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom6) ).
tff(f43,axiom,
'image$a'('f$','top$b') = 'image$'('g$','top$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom41) ).
tff(f90,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$a'('member$'('fun_app$e'(X0,X1)),'image$a'(X0,'top$b')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom88) ).
tff(f108,axiom,
! [X0: 'C_ell2_c_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2: 'B_ell2_b_ell2_cblinfun_set$'] :
( 'fun_app$a'('member$'(X0),'image$'(X1,X2))
=> ( 'fun_app$c'(X1,'fun_app$d'('inv_into$'(X2,X1),X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom106) ).
tff(f109,axiom,
! [X0: 'C_ell2_c_ell2_cblinfun$',X1: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2: 'A_ell2_a_ell2_cblinfun_set$'] :
( 'fun_app$a'('member$'(X0),'image$a'(X1,X2))
=> ( 'fun_app$e'(X1,'fun_app$i'('inv_into$a'(X2,X1),X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom107) ).
tff(f149,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun$',X2: 'A_ell2_a_ell2_cblinfun$'] :
( ( 'inj_on$a'(X0,'top$b')
& ( X1 = 'fun_app$e'(X0,X2) ) )
=> ( 'fun_app$i'('inv_into$a'('top$b',X0),X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom147) ).
tff(f204,axiom,
! [X0: 'B_ell2_b_ell2_cblinfun$'] : ( 'fun_app$n'('i$',X0) = 'fun_app$i'('inv_into$a'('top$b','f$'),'fun_app$c'('g$',X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom202) ).
tff(f206,axiom,
! [X0: 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$a'('member$'('fun_app$c'('g$',X0)),'image$a'('f$','top$b')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom204) ).
tff(f232,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun$',X2: 'A_ell2_a_ell2_cblinfun$'] :
( 'register$a'(X0)
=> ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'(X0,X1)),'fun_app$e'(X0,X2)) = 'fun_app$e'(X0,'fun_app$f'('cblinfun_compose$'(X1),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom230) ).
tff(f238,axiom,
'inj_on$a'('f$','top$b'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom236) ).
tff(f369,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun_set$'] : 'less_eq$b'(X0,'top$b'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom367) ).
tff(f393,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun_set$',X2: 'A_ell2_a_ell2_cblinfun_set$'] :
( ( 'inj_on$a'(X0,X1)
& 'less_eq$b'(X2,X1) )
=> 'inj_on$a'(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom391) ).
tff(f722,plain,
'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')))) != 'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','a$')))),'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','b$')))),
inference(flattening,[],[f4]) ).
tff(f952,plain,
! [X0: 'C_ell2_c_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2: 'B_ell2_b_ell2_cblinfun_set$'] :
( ( 'fun_app$c'(X1,'fun_app$d'('inv_into$'(X2,X1),X0)) = X0 )
| ~ 'fun_app$a'('member$'(X0),'image$'(X1,X2)) ),
inference(ennf_transformation,[],[f108]) ).
tff(f953,plain,
! [X0: 'C_ell2_c_ell2_cblinfun$',X1: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2: 'A_ell2_a_ell2_cblinfun_set$'] :
( ( 'fun_app$e'(X1,'fun_app$i'('inv_into$a'(X2,X1),X0)) = X0 )
| ~ 'fun_app$a'('member$'(X0),'image$a'(X1,X2)) ),
inference(ennf_transformation,[],[f109]) ).
tff(f998,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun$',X2: 'A_ell2_a_ell2_cblinfun$'] :
( ( 'fun_app$i'('inv_into$a'('top$b',X0),X1) = X2 )
| ~ 'inj_on$a'(X0,'top$b')
| ( 'fun_app$e'(X0,X2) != X1 ) ),
inference(ennf_transformation,[],[f149]) ).
tff(f999,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun$',X2: 'A_ell2_a_ell2_cblinfun$'] :
( ( 'fun_app$i'('inv_into$a'('top$b',X0),X1) = X2 )
| ~ 'inj_on$a'(X0,'top$b')
| ( 'fun_app$e'(X0,X2) != X1 ) ),
inference(flattening,[],[f998]) ).
tff(f1063,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun$',X2: 'A_ell2_a_ell2_cblinfun$'] :
( ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'(X0,X1)),'fun_app$e'(X0,X2)) = 'fun_app$e'(X0,'fun_app$f'('cblinfun_compose$'(X1),X2)) )
| ~ 'register$a'(X0) ),
inference(ennf_transformation,[],[f232]) ).
tff(f1207,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun_set$',X2: 'A_ell2_a_ell2_cblinfun_set$'] :
( 'inj_on$a'(X0,X2)
| ~ 'inj_on$a'(X0,X1)
| ~ 'less_eq$b'(X2,X1) ),
inference(ennf_transformation,[],[f393]) ).
tff(f1208,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun_set$',X2: 'A_ell2_a_ell2_cblinfun_set$'] :
( 'inj_on$a'(X0,X2)
| ~ 'inj_on$a'(X0,X1)
| ~ 'less_eq$b'(X2,X1) ),
inference(flattening,[],[f1207]) ).
tff(f2128,plain,
'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')))) != 'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','a$')))),'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','b$')))),
inference(cnf_transformation,[],[f722]) ).
tff(f2131,plain,
'register$a'('f$'),
inference(cnf_transformation,[],[f7]) ).
tff(f2132,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$h'('j$',X0) = 'fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X0)) ),
inference(cnf_transformation,[],[f8]) ).
tff(f2167,plain,
'image$'('g$','top$') = 'image$a'('f$','top$b'),
inference(cnf_transformation,[],[f43]) ).
tff(f2240,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$a'('member$'('fun_app$e'(X0,X1)),'image$a'(X0,'top$b')),
inference(cnf_transformation,[],[f90]) ).
tff(f2258,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_set$',X0: 'C_ell2_c_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( ~ 'fun_app$a'('member$'(X0),'image$'(X1,X2))
| ( 'fun_app$c'(X1,'fun_app$d'('inv_into$'(X2,X1),X0)) = X0 ) ),
inference(cnf_transformation,[],[f952]) ).
tff(f2259,plain,
! [X2: 'A_ell2_a_ell2_cblinfun_set$',X0: 'C_ell2_c_ell2_cblinfun$',X1: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( ~ 'fun_app$a'('member$'(X0),'image$a'(X1,X2))
| ( 'fun_app$e'(X1,'fun_app$i'('inv_into$a'(X2,X1),X0)) = X0 ) ),
inference(cnf_transformation,[],[f953]) ).
tff(f2299,plain,
! [X2: 'A_ell2_a_ell2_cblinfun$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun$'] :
( ( 'fun_app$i'('inv_into$a'('top$b',X0),X1) = X2 )
| ~ 'inj_on$a'(X0,'top$b')
| ( 'fun_app$e'(X0,X2) != X1 ) ),
inference(cnf_transformation,[],[f999]) ).
tff(f2366,plain,
! [X0: 'B_ell2_b_ell2_cblinfun$'] : ( 'fun_app$n'('i$',X0) = 'fun_app$i'('inv_into$a'('top$b','f$'),'fun_app$c'('g$',X0)) ),
inference(cnf_transformation,[],[f204]) ).
tff(f2368,plain,
! [X0: 'B_ell2_b_ell2_cblinfun$'] : 'fun_app$a'('member$'('fun_app$c'('g$',X0)),'image$a'('f$','top$b')),
inference(cnf_transformation,[],[f206]) ).
tff(f2433,plain,
! [X2: 'A_ell2_a_ell2_cblinfun$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun$'] :
( ~ 'register$a'(X0)
| ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'(X0,X1)),'fun_app$e'(X0,X2)) = 'fun_app$e'(X0,'fun_app$f'('cblinfun_compose$'(X1),X2)) ) ),
inference(cnf_transformation,[],[f1063]) ).
tff(f2435,plain,
'inj_on$a'('f$','top$b'),
inference(cnf_transformation,[],[f238]) ).
tff(f2646,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_set$'] : 'less_eq$b'(X0,'top$b'),
inference(cnf_transformation,[],[f369]) ).
tff(f2694,plain,
! [X2: 'A_ell2_a_ell2_cblinfun_set$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun_set$'] :
( ~ 'less_eq$b'(X2,X1)
| ~ 'inj_on$a'(X0,X1)
| 'inj_on$a'(X0,X2) ),
inference(cnf_transformation,[],[f1208]) ).
tff(f3207,plain,
! [X2: 'A_ell2_a_ell2_cblinfun$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( ~ 'inj_on$a'(X0,'top$b')
| ( 'fun_app$i'('inv_into$a'('top$b',X0),'fun_app$e'(X0,X2)) = X2 ) ),
inference(equality_resolution,[],[f2299]) ).
tff(f3358,plain,
'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')))) != 'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','a$')))),'fun_app$c'('g$','fun_app$h'('j$','b$'))),
inference(forward_demodulation,[],[f2128,f2132]) ).
tff(f3363,plain,
'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')))) != 'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$h'('j$','a$'))),'fun_app$c'('g$','fun_app$h'('j$','b$'))),
inference(forward_demodulation,[],[f3358,f2132]) ).
tff(f3364,plain,
'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$h'('j$','a$'))),'fun_app$c'('g$','fun_app$h'('j$','b$'))) != 'fun_app$c'('g$','fun_app$h'('j$','fun_app$f'('cblinfun_compose$'('a$'),'b$'))),
inference(forward_demodulation,[],[f3363,f2132]) ).
tff(f3480,plain,
! [X0: 'C_ell2_c_ell2_cblinfun$'] :
( ~ 'fun_app$a'('member$'(X0),'image$a'('f$','top$b'))
| ( 'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),X0)) = X0 ) ),
inference(superposition,[],[f2258,f2167]) ).
tff(f3534,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$',X1: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'('f$',X0)),'fun_app$e'('f$',X1)) = 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'(X0),X1)) ),
inference(resolution,[],[f2433,f2131]) ).
tff(f3581,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun_set$'] :
( ~ 'inj_on$a'(X0,'top$b')
| 'inj_on$a'(X0,X1) ),
inference(resolution,[],[f2694,f2646]) ).
tff(f3590,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_set$'] : 'inj_on$a'('f$',X0),
inference(resolution,[],[f3581,f2435]) ).
tff(f3812,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$i'('inv_into$a'('top$b','f$'),'fun_app$e'('f$',X0)) = X0 ),
inference(resolution,[],[f3207,f3590]) ).
tff(f4107,plain,
! [X0: 'B_ell2_b_ell2_cblinfun$'] : ( 'fun_app$c'('g$',X0) = 'fun_app$e'('f$','fun_app$i'('inv_into$a'('top$b','f$'),'fun_app$c'('g$',X0))) ),
inference(resolution,[],[f2259,f2368]) ).
tff(f4116,plain,
! [X0: 'B_ell2_b_ell2_cblinfun$'] : ( 'fun_app$c'('g$',X0) = 'fun_app$e'('f$','fun_app$n'('i$',X0)) ),
inference(forward_demodulation,[],[f4107,f2366]) ).
tff(f4306,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$e'('f$',X0) = 'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X0))) ),
inference(resolution,[],[f3480,f2240]) ).
tff(f4318,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$e'('f$',X0) = 'fun_app$c'('g$','fun_app$h'('j$',X0)) ),
inference(forward_demodulation,[],[f4306,f2132]) ).
tff(f6215,plain,
! [X0: 'B_ell2_b_ell2_cblinfun$',X1: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'('f$',X1)),'fun_app$c'('g$',X0)) = 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'(X1),'fun_app$n'('i$',X0))) ),
inference(superposition,[],[f3534,f4116]) ).
tff(f6243,plain,
'fun_app$c'('g$','fun_app$h'('j$','fun_app$f'('cblinfun_compose$'('a$'),'b$'))) != 'fun_app$g'('cblinfun_compose$a'('fun_app$e'('f$','a$')),'fun_app$c'('g$','fun_app$h'('j$','b$'))),
inference(superposition,[],[f3364,f4318]) ).
tff(f6276,plain,
'fun_app$c'('g$','fun_app$h'('j$','fun_app$f'('cblinfun_compose$'('a$'),'b$'))) != 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'fun_app$n'('i$','fun_app$h'('j$','b$')))),
inference(forward_demodulation,[],[f6243,f6215]) ).
tff(f6278,plain,
'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) != 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'fun_app$n'('i$','fun_app$h'('j$','b$')))),
inference(forward_demodulation,[],[f6276,f4318]) ).
tff(f6335,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$i'('inv_into$a'('top$b','f$'),'fun_app$e'('f$',X0)) = 'fun_app$n'('i$','fun_app$h'('j$',X0)) ),
inference(superposition,[],[f2366,f4318]) ).
tff(f6342,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$n'('i$','fun_app$h'('j$',X0)) = X0 ),
inference(forward_demodulation,[],[f6335,f3812]) ).
tff(f6358,plain,
'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) != 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')),
inference(superposition,[],[f6278,f6342]) ).
tff(f6362,plain,
$false,
inference(trivial_inequality_removal,[],[f6358]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP396_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n026.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 12:59:41 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/1.34 % (2823362)Will run a generic schedule for satisfiability detection.
% 5.56/1.34 % (2823373)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=792729993:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.56/1.34 % (2823368)% WARNING: option uhcvi not known.
% 5.56/1.34 % (2823371)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2850266120:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.56/1.34 % (2823367)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3901705082_2999 on theBenchmark for (2999ds/0Mi)
% 5.56/1.34 % (2823372)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=127524314:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.56/1.34 % (2823368)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2667660846:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.56/1.34 % (2823369)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=533034799:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.56/1.34 % (2823370)dis+10_1_sil=32000:sp=arity:random_seed=999398392:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.56/1.34 % (2823367)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.56/1.34 % (2823367)Terminated due to inappropriate strategy.
% 5.56/1.34 % (2823367)------------------------------
% 5.56/1.34 % (2823367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.34 % (2823367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.34 % (2823367)CaDiCaL version: 2.1.3
% 5.56/1.34 % (2823367)Termination reason: Inappropriate
% 5.56/1.34 % (2823367)Time elapsed: 0.062 s
% 5.56/1.34 % (2823367)Peak memory usage: 13 MB
% 5.56/1.34 % (2823367)Instructions burned: 68 (million)
% 5.56/1.34 % (2823367)------------------------------
% 5.56/1.34 % (2823367)------------------------------
% 5.56/1.34 % (2823373)Instruction limit reached!
% 5.56/1.34 % (2823373)------------------------------
% 5.56/1.34 % (2823373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.34 % (2823373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.34 % (2823373)CaDiCaL version: 2.1.3
% 5.56/1.34 % (2823373)Termination reason: Instruction limit
% 5.56/1.34 % (2823373)Termination phase: Saturation
% 5.56/1.34 % (2823373)Time elapsed: 0.087 s
% 5.56/1.34 % (2823373)Peak memory usage: 15 MB
% 5.56/1.34 % (2823373)Instructions burned: 160 (million)
% 5.56/1.34 % (2823382)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3375107000:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.56/1.34 % (2823381)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1347969437:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.56/1.34 % (2823371)Instruction limit reached!
% 5.56/1.34 % (2823371)------------------------------
% 5.56/1.34 % (2823371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.34 % (2823371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.34 % (2823371)CaDiCaL version: 2.1.3
% 5.56/1.34 % (2823371)Termination reason: Instruction limit
% 5.56/1.34 % (2823371)Termination phase: Saturation
% 5.56/1.34 % (2823371)Time elapsed: 0.107 s
% 5.56/1.34 % (2823371)Peak memory usage: 14 MB
% 5.56/1.34 % (2823371)Instructions burned: 116 (million)
% 5.56/1.34 % (2823370)Instruction limit reached!
% 5.56/1.34 % (2823370)------------------------------
% 5.56/1.34 % (2823370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.34 % (2823370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.34 % (2823370)CaDiCaL version: 2.1.3
% 5.56/1.34 % (2823370)Termination reason: Instruction limit
% 5.56/1.34 % (2823370)Termination phase: Saturation
% 5.56/1.34 % (2823370)Time elapsed: 0.103 s
% 5.56/1.34 % (2823370)Peak memory usage: 14 MB
% 5.56/1.34 % (2823370)Instructions burned: 103 (million)
% 5.56/1.34 % (2823372)Instruction limit reached!
% 5.56/1.34 % (2823372)------------------------------
% 5.56/1.34 % (2823372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.34 % (2823372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.34 % (2823372)CaDiCaL version: 2.1.3
% 5.56/1.34 % (2823372)Termination reason: Instruction limit
% 5.56/1.34 % (2823372)Termination phase: Saturation
% 5.56/1.34 % (2823372)Time elapsed: 0.133 s
% 5.56/1.34 % (2823372)Peak memory usage: 14 MB
% 5.56/1.34 % (2823372)Instructions burned: 131 (million)
% 7.85/1.98 % (2823385)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1628051860:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.85/1.98 % (2823386)ott-21_1_sil=16000:fs=off:random_seed=3022223551:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.85/1.98 % (2823381)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.85/1.98 % (2823381)Terminated due to inappropriate strategy.
% 7.85/1.98 % (2823381)------------------------------
% 7.85/1.98 % (2823381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.98 % (2823381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.98 % (2823381)CaDiCaL version: 2.1.3
% 7.85/1.98 % (2823381)Termination reason: Inappropriate
% 7.85/1.98 % (2823381)Time elapsed: 0.054 s
% 7.85/1.98 % (2823381)Peak memory usage: 12 MB
% 7.85/1.98 % (2823381)Instructions burned: 59 (million)
% 7.85/1.98 % (2823381)------------------------------
% 7.85/1.98 % (2823381)------------------------------
% 7.85/1.98 % (2823382)Instruction limit reached!
% 7.85/1.98 % (2823382)------------------------------
% 7.85/1.98 % (2823382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.98 % (2823382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.98 % (2823382)CaDiCaL version: 2.1.3
% 7.85/1.98 % (2823382)Termination reason: Instruction limit
% 7.85/1.98 % (2823382)Termination phase: Saturation
% 7.85/1.98 % (2823382)Time elapsed: 0.067 s
% 7.85/1.98 % (2823382)Peak memory usage: 14 MB
% 7.85/1.98 % (2823382)Instructions burned: 132 (million)
% 7.85/1.98 % (2823387)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3368362274:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.85/1.98 % (2823390)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3501587045:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.85/1.98 % (2823391)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=609320934:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.85/1.98 % (2823390)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.85/1.98 % (2823390)Terminated due to inappropriate strategy.
% 7.85/1.98 % (2823390)------------------------------
% 7.85/1.98 % (2823390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.98 % (2823390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.98 % (2823390)CaDiCaL version: 2.1.3
% 7.85/1.98 % (2823390)Termination reason: Inappropriate
% 7.85/1.98 % (2823390)Time elapsed: 0.027 s
% 7.85/1.98 % (2823390)Peak memory usage: 12 MB
% 7.85/1.98 % (2823390)Instructions burned: 49 (million)
% 7.85/1.98 % (2823390)------------------------------
% 7.85/1.98 % (2823390)------------------------------
% 7.85/1.98 % (2823395)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=402024178:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 7.85/1.98 % (2823395)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.85/1.98 % (2823395)Terminated due to inappropriate strategy.
% 7.85/1.98 % (2823395)------------------------------
% 7.85/1.98 % (2823395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.98 % (2823395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.98 % (2823395)CaDiCaL version: 2.1.3
% 7.85/1.98 % (2823395)Termination reason: Inappropriate
% 7.85/1.98 % (2823395)Time elapsed: 0.029 s
% 7.85/1.98 % (2823395)Peak memory usage: 12 MB
% 7.85/1.98 % (2823395)Instructions burned: 58 (million)
% 7.85/1.98 % (2823395)------------------------------
% 7.85/1.98 % (2823395)------------------------------
% 7.85/1.98 % (2823397)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1005970511:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 7.85/1.98 % (2823386)Instruction limit reached!
% 7.85/1.98 % (2823386)------------------------------
% 7.85/1.98 % (2823386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.98 % (2823386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.98 % (2823386)CaDiCaL version: 2.1.3
% 7.85/1.98 % (2823386)Termination reason: Instruction limit
% 7.85/1.98 % (2823386)Termination phase: Saturation
% 10.61/3.15 % (2823386)Time elapsed: 0.163 s
% 10.61/3.15 % (2823386)Peak memory usage: 14 MB
% 10.61/3.15 % (2823386)Instructions burned: 180 (million)
% 10.61/3.15 % (2823399)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=378250112:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 10.61/3.15 % (2823385)Instruction limit reached!
% 10.61/3.15 % (2823385)------------------------------
% 10.61/3.15 % (2823385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823385)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823385)Termination reason: Instruction limit
% 10.61/3.15 % (2823385)Termination phase: Saturation
% 10.61/3.15 % (2823385)Time elapsed: 0.405 s
% 10.61/3.15 % (2823385)Peak memory usage: 15 MB
% 10.61/3.15 % (2823385)Instructions burned: 685 (million)
% 10.61/3.15 % (2823401)fmb+10_1_sil=64000:random_seed=3981786076:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 10.61/3.15 % (2823401)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.61/3.15 % (2823401)Terminated due to inappropriate strategy.
% 10.61/3.15 % (2823401)------------------------------
% 10.61/3.15 % (2823401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823401)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823401)Termination reason: Inappropriate
% 10.61/3.15 % (2823401)Time elapsed: 0.057 s
% 10.61/3.15 % (2823401)Peak memory usage: 12 MB
% 10.61/3.15 % (2823401)Instructions burned: 63 (million)
% 10.61/3.15 % (2823401)------------------------------
% 10.61/3.15 % (2823401)------------------------------
% 10.61/3.15 % (2823403)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=863915871:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 10.61/3.15 % (2823387)Instruction limit reached!
% 10.61/3.15 % (2823387)------------------------------
% 10.61/3.15 % (2823387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823387)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823387)Termination reason: Instruction limit
% 10.61/3.15 % (2823387)Termination phase: Saturation
% 10.61/3.15 % (2823387)Time elapsed: 0.530 s
% 10.61/3.15 % (2823387)Peak memory usage: 16 MB
% 10.61/3.15 % (2823387)Instructions burned: 477 (million)
% 10.61/3.15 % (2823399)Instruction limit reached!
% 10.61/3.15 % (2823399)------------------------------
% 10.61/3.15 % (2823399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823399)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823399)Termination reason: Instruction limit
% 10.61/3.15 % (2823399)Termination phase: Saturation
% 10.61/3.15 % (2823399)Time elapsed: 0.379 s
% 10.61/3.15 % (2823399)Peak memory usage: 20 MB
% 10.61/3.15 % (2823399)Instructions burned: 880 (million)
% 10.61/3.15 % (2823406)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3455823285:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 10.61/3.15 % (2823403)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.61/3.15 % (2823403)Terminated due to inappropriate strategy.
% 10.61/3.15 % (2823403)------------------------------
% 10.61/3.15 % (2823403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823403)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823403)Termination reason: Inappropriate
% 10.61/3.15 % (2823403)Time elapsed: 0.053 s
% 10.61/3.15 % (2823403)Peak memory usage: 12 MB
% 10.61/3.15 % (2823403)Instructions burned: 57 (million)
% 10.61/3.15 % (2823403)------------------------------
% 10.61/3.15 % (2823403)------------------------------
% 10.61/3.15 % (2823405)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1251886940:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 10.61/3.15 % (2823409)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1429454547:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 10.61/3.15 % (2823405)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.61/3.15 % (2823405)Terminated due to inappropriate strategy.
% 10.61/3.15 % (2823405)------------------------------
% 10.61/3.15 % (2823405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823405)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823405)Termination reason: Inappropriate
% 10.61/3.15 % (2823405)Time elapsed: 0.052 s
% 10.61/3.15 % (2823405)Peak memory usage: 12 MB
% 10.61/3.15 % (2823405)Instructions burned: 57 (million)
% 10.61/3.15 % (2823405)------------------------------
% 10.61/3.15 % (2823405)------------------------------
% 10.61/3.15 % (2823411)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2911852479:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 10.61/3.15 % (2823411)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.61/3.15 % (2823411)Terminated due to inappropriate strategy.
% 10.61/3.15 % (2823411)------------------------------
% 10.61/3.15 % (2823411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823411)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823411)Termination reason: Inappropriate
% 10.61/3.15 % (2823411)Time elapsed: 0.042 s
% 10.61/3.15 % (2823411)Peak memory usage: 13 MB
% 10.61/3.15 % (2823411)Instructions burned: 68 (million)
% 10.61/3.15 % (2823411)------------------------------
% 10.61/3.15 % (2823411)------------------------------
% 10.61/3.15 % (2823413)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=666061632:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 10.61/3.15 % (2823413)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.61/3.15 % (2823413)Terminated due to inappropriate strategy.
% 10.61/3.15 % (2823413)------------------------------
% 10.61/3.15 % (2823413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823413)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823413)Termination reason: Inappropriate
% 10.61/3.15 % (2823413)Time elapsed: 0.034 s
% 10.61/3.15 % (2823413)Peak memory usage: 12 MB
% 10.61/3.15 % (2823413)Instructions burned: 57 (million)
% 10.61/3.15 % (2823413)------------------------------
% 10.61/3.15 % (2823413)------------------------------
% 10.61/3.15 % (2823415)ott-2_1_sil=16000:newcnf=on:random_seed=2579835579:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 10.61/3.15 % (2823397)Instruction limit reached!
% 10.61/3.15 % (2823397)------------------------------
% 10.61/3.15 % (2823397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823397)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823397)Termination reason: Instruction limit
% 10.61/3.15 % (2823397)Termination phase: Saturation
% 10.61/3.15 % (2823397)Time elapsed: 0.672 s
% 10.61/3.15 % (2823397)Peak memory usage: 20 MB
% 10.61/3.15 % (2823397)Instructions burned: 692 (million)
% 10.61/3.15 % (2823417)ott+10_1_sil=32000:tgt=ground:random_seed=618500992:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 10.61/3.15 % (2823391)Instruction limit reached!
% 10.61/3.15 % (2823391)------------------------------
% 10.61/3.15 % (2823391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823391)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823391)Termination reason: Instruction limit
% 10.61/3.15 % (2823391)Termination phase: Saturation
% 10.61/3.15 % (2823391)Time elapsed: 1.158 s
% 10.61/3.15 % (2823391)Peak memory usage: 24 MB
% 10.61/3.15 % (2823391)Instructions burned: 1179 (million)
% 10.61/3.15 % (2823419)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1430726797:i=54282_2985 on theBenchmark for (2985ds/54282Mi)
% 10.61/3.15 % (2823419)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.61/3.15 % (2823419)Terminated due to inappropriate strategy.
% 10.61/3.15 % (2823419)------------------------------
% 10.61/3.15 % (2823419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823419)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823419)Termination reason: Inappropriate
% 10.61/3.15 % (2823419)Time elapsed: 0.037 s
% 10.61/3.15 % (2823419)Peak memory usage: 13 MB
% 10.61/3.15 % (2823419)Instructions burned: 68 (million)
% 10.61/3.15 % (2823419)------------------------------
% 10.61/3.15 % (2823419)------------------------------
% 10.61/3.15 % (2823421)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3796424954:i=3512:aac=none_2985 on theBenchmark for (2985ds/3512Mi)
% 10.61/3.15 % (2823415)Instruction limit reached!
% 10.61/3.15 % (2823415)------------------------------
% 10.61/3.15 % (2823415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823415)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823415)Termination reason: Instruction limit
% 10.61/3.15 % (2823415)Termination phase: Saturation
% 10.61/3.15 % (2823415)Time elapsed: 0.872 s
% 10.61/3.15 % (2823415)Peak memory usage: 19 MB
% 10.61/3.15 % (2823415)Instructions burned: 869 (million)
% 10.61/3.15 % (2823423)dis+21_1_sil=32000:sas=cadical:random_seed=2572729459:i=3773:amm=off_2981 on theBenchmark for (2981ds/3773Mi)
% 10.61/3.15 % (2823409)Instruction limit reached!
% 10.61/3.15 % (2823409)------------------------------
% 10.61/3.15 % (2823409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.15 % (2823409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.15 % (2823409)CaDiCaL version: 2.1.3
% 10.61/3.15 % (2823409)Termination reason: Instruction limit
% 10.61/3.15 % (2823409)Termination phase: Saturation
% 10.61/3.15 % (2823409)Time elapsed: 1.369 s
% 10.61/3.15 % (2823409)Peak memory usage: 28 MB
% 10.61/3.15 % (2823409)Instructions burned: 1472 (million)
% 10.61/3.15 % (2823425)ott+11_1_sil=16000:gs=on:random_seed=1883648851:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2977 on theBenchmark for (2977ds/2251Mi)
% 10.61/3.15 % (2823425) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2823362-2823425"...
% 10.61/3.15 % (2823425)...printing done.
% 10.61/3.15 % (2823425)Refutation found. Thanks to Tanya!
% 10.61/3.15 % SZS status Theorem for theBenchmark
% 10.61/3.15 % SZS output start Proof for theBenchmark
% See solution above
% 10.61/3.16 % (2823425)------------------------------
% 10.61/3.16 % (2823425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/3.16 % (2823425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/3.16 % (2823425)CaDiCaL version: 2.1.3
% 10.61/3.16 % (2823425)Termination reason: Refutation
% 10.61/3.16 % (2823425)Time elapsed: 0.418 s
% 10.61/3.16 % (2823425)Peak memory usage: 18 MB
% 10.61/3.16 % (2823425)Instructions burned: 463 (million)
% 10.61/3.16 % (2823362)Success in time 2.66 s
% 10.61/3.16 % Vampire exiting
%------------------------------------------------------------------------------