%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP396_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:47 AM UTC 2026
% Result : Theorem 9.04s 2.21s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 18 unt; 0 typ; 2 def)
% Number of atoms : 62 ( 28 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 17 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 85 ( 83 usr; 3 prp; 0-3 aty)
% Number of functors : 380 ( 380 usr; 39 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?; 38 :)
% 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$' ).
tff(func_def_157,type,
sK9: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_158,type,
sK10: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'Nat$' ).
tff(func_def_159,type,
sK11: ( '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$' ).
tff(func_def_160,type,
sK12: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'Nat$' ).
tff(func_def_161,type,
sK13: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_162,type,
sK14: ( 'Nat_unit_fun$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_163,type,
sK15: ( '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$' ).
tff(func_def_164,type,
sK16: ( 'Unit_bool_fun$' * 'Unit_nat_fun$' ) > 'Nat$' ).
tff(func_def_165,type,
sK17: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_166,type,
sK18: 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_167,type,
sK19: 'A_ell2_a_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_168,type,
sK20: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_169,type,
sK21: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_170,type,
sK22: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_171,type,
sK23: ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_172,type,
sK24: ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_173,type,
sK25: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_174,type,
sK26: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_175,type,
sK27: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_176,type,
sK28: ( 'Nat_set$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_177,type,
sK29: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_178,type,
sK30: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_179,type,
sK31: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_180,type,
sK32: ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_181,type,
sK33: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_182,type,
sK34: 'Nat_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_183,type,
sK35: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_184,type,
sK36: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_185,type,
sK37: 'Unit_set$' > 'Unit$' ).
tff(func_def_186,type,
sK38: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_187,type,
sK39: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat_b_ell2_b_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_188,type,
sK40: ( '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_189,type,
sK41: ( 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_190,type,
sK42: ( 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_191,type,
sK43: ( 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_192,type,
sK44: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_193,type,
sK45: ( 'Nat_bool_fun$' * 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'Nat$' ).
tff(func_def_194,type,
sK46: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'Nat_bool_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_195,type,
sK47: 'Int_int_fun$' > $int ).
tff(func_def_196,type,
sK48: 'Int_int_fun$' > $int ).
tff(func_def_197,type,
sK49: 'Int_int_fun$' > $int ).
tff(func_def_198,type,
sK50: 'Int_int_fun$' > $int ).
tff(func_def_199,type,
sK51: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_200,type,
sK52: ( '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_201,type,
sK53: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat$' * 'A_ell2_a_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_202,type,
sK54: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_203,type,
sK55: 'A_ell2_a_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_204,type,
sK56: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_205,type,
sK57: ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_206,type,
sK58: 'B_ell2_b_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_207,type,
sK59: ( 'Unit_nat_fun$' * 'Nat_unit_fun$' ) > 'Nat$' ).
tff(func_def_208,type,
sK60: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_209,type,
sK61: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_210,type,
sK62: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_211,type,
sK63: ( 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).
tff(func_def_212,type,
sK64: ( 'C_ell2_c_ell2_cblinfun_set$' * '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$' ).
tff(func_def_213,type,
sK65: 'B_ell2_b_ell2_cblinfun_set$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_214,type,
sK66: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_215,type,
sK67: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_216,type,
sK68: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_217,type,
sK69: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_218,type,
sK70: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_219,type,
sK71: ( 'A_ell2_a_ell2_cblinfun_set$' * '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$' ).
tff(func_def_220,type,
sK72: ( 'Nat$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_221,type,
sK73: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_222,type,
sK74: ( '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$' ).
tff(func_def_223,type,
sK75: ( 'C_ell2_c_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_224,type,
sK76: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_225,type,
sK77: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_226,type,
sK78: 'C_ell2_c_ell2_cblinfun_set$' > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_227,type,
sK79: ( 'A_ell2_a_ell2_cblinfun_set$' * '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_228,type,
sK80: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_229,type,
sK81: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_230,type,
sK82: ( 'Unit$' * 'A_ell2_a_ell2_cblinfun_unit_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_231,type,
sK83: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_232,type,
sK84: ( 'Unit_set$' * 'Nat$' ) > 'Unit_set$' ).
tff(func_def_233,type,
sK85: ( 'A_ell2_a_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'Nat$' ).
tff(func_def_234,type,
sK86: 'Unit_nat_fun$' > 'Nat$' ).
tff(func_def_235,type,
sK87: ( 'Unit_nat_fun$' * 'Nat$' ) > 'Unit$' ).
tff(func_def_236,type,
sK88: ( 'Unit$' * 'Nat_unit_fun$' ) > 'Nat$' ).
tff(func_def_237,type,
sK89: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_238,type,
sK90: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_239,type,
sK91: ( '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_240,type,
sK92: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_241,type,
sK93: 'Nat_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_242,type,
sK94: ( '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_243,type,
sK95: ( '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_244,type,
sK96: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_245,type,
sK97: ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_246,type,
sK98: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_247,type,
sK99: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_248,type,
sK100: ( 'Nat$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_249,type,
sK101: 'Nat_set$' > 'Nat$' ).
tff(func_def_250,type,
sK102: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat_b_ell2_b_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_251,type,
sK103: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_252,type,
sK104: 'Unit_unit_fun$' > 'Unit$' ).
tff(func_def_253,type,
sK105: ( '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_254,type,
sK106: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_255,type,
sK107: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_256,type,
sK108: ( 'Nat$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_257,type,
sK109: 'Nat_unit_fun$' > 'Unit$' ).
tff(func_def_258,type,
sK110: ( 'Nat_unit_fun$' * 'Unit$' ) > 'Nat$' ).
tff(func_def_259,type,
sK111: 'Unit_nat_fun$' > 'Nat$' ).
tff(func_def_260,type,
sK112: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_261,type,
sK113: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_262,type,
sK114: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_263,type,
sK115: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_264,type,
sK116: ( '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_265,type,
sK117: ( 'Unit_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_unit_fun$' ) > 'Unit$' ).
tff(func_def_266,type,
sK118: ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_267,type,
sK119: ( 'Nat_unit_fun$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_268,type,
sK120: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_269,type,
sK121: ( 'Nat$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_270,type,
sK122: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_271,type,
sK123: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_272,type,
sK124: ( 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).
tff(func_def_273,type,
sK125: 'Unit$' ).
tff(func_def_274,type,
sK126: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_275,type,
sK127: ( 'Unit$' * 'B_ell2_b_ell2_cblinfun_unit_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_276,type,
sK128: ( '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_277,type,
sK129: ( 'B_ell2_b_ell2_cblinfun$' * 'Nat_b_ell2_b_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_278,type,
sK130: ( 'B_ell2_b_ell2_cblinfun_bool_fun$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'Nat$' ).
tff(func_def_279,type,
sK131: 'A_ell2_a_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_280,type,
sK132: 'Int_int_fun$' > $int ).
tff(func_def_281,type,
sK133: 'Int_int_fun$' > $int ).
tff(func_def_282,type,
sK134: ( 'Unit$' * 'B_ell2_b_ell2_cblinfun_unit_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_283,type,
sK135: ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_284,type,
sK136: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_285,type,
sK137: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_286,type,
sK138: ( 'Nat_set$' * 'Nat$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_287,type,
sK139: 'Unit_unit_fun$' > 'Unit$' ).
tff(func_def_288,type,
sK140: ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_289,type,
sK141: 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_290,type,
sK142: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_291,type,
sK143: ( 'C_ell2_c_ell2_cblinfun_set$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_292,type,
sK144: ( 'A_ell2_a_ell2_cblinfun_set$' * '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_293,type,
sK145: 'Nat$' > 'Nat$' ).
tff(func_def_294,type,
sK146: 'B_ell2_b_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_295,type,
sK147: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' * 'B_ell2_b_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_296,type,
sK148: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_297,type,
sK149: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_298,type,
sK150: ( 'Unit_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_unit_fun$' ) > 'Unit$' ).
tff(func_def_299,type,
sK151: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'Nat_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_300,type,
sK152: ( 'Unit_nat_fun$' * 'Nat_unit_fun$' ) > 'Nat$' ).
tff(func_def_301,type,
sK153: ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_302,type,
sK154: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_303,type,
sK155: 'A_ell2_a_ell2_cblinfun_set$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_304,type,
sK156: ( 'Unit$' * 'Unit_unit_fun$' ) > 'Unit$' ).
tff(func_def_305,type,
sK157: 'Int_int_fun$' > $int ).
tff(func_def_306,type,
sK158: 'Int_int_fun$' > $int ).
tff(func_def_307,type,
sK159: ( 'Nat_nat_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_308,type,
sK160: ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_309,type,
sK161: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_310,type,
sK162: ( 'Nat_set$' * 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_311,type,
sK163: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_312,type,
sK164: 'Nat$' ).
tff(func_def_313,type,
sK165: ( 'C_ell2_c_ell2_cblinfun_set$' * '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_314,type,
sK166: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_315,type,
sK167: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'Nat$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_316,type,
sK168: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_317,type,
sK169: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_318,type,
sK170: 'B_ell2_b_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_319,type,
sK171: ( '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_320,type,
sK172: ( 'Nat_bool_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_321,type,
sK173: ( 'Nat_set$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'Nat$' ).
tff(func_def_322,type,
sK174: ( 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_323,type,
sK175: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_324,type,
sK176: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_325,type,
sK177: ( 'Nat_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_326,type,
sK178: ( 'Unit$' * 'Nat_unit_fun$' ) > 'Nat$' ).
tff(func_def_327,type,
sK179: ( 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_328,type,
sK180: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_329,type,
sK181: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_330,type,
sK182: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_331,type,
sK183: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_332,type,
sK184: ( '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$' ).
tff(func_def_333,type,
sK185: ( 'Nat_set$' * 'Nat_set$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_334,type,
sK186: ( 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_335,type,
sK187: 'Nat_unit_fun$' > 'Unit$' ).
tff(func_def_336,type,
sK188: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_337,type,
sK189: 'Nat_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_338,type,
sK190: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_339,type,
sK191: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_340,type,
sK192: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_341,type,
sK193: ( 'Nat$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_342,type,
sK194: ( 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_343,type,
sK195: ( '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$' ).
tff(func_def_344,type,
sK196: ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_345,type,
sK197: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_346,type,
sK198: ( 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_347,type,
sK199: ( 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_348,type,
sK200: ( '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$' ).
tff(func_def_349,type,
sK201: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_350,type,
sK202: ( '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_351,type,
sK203: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_352,type,
sK204: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_353,type,
sK205: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_354,type,
sK206: 'B_ell2_b_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_355,type,
sK207: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_356,type,
sK208: 'A_ell2_a_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_357,type,
sK209: ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'Unit_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_358,type,
sK210: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_359,type,
sK211: ( 'C_ell2_c_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_360,type,
sK212: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_361,type,
sK213: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_362,type,
sK214: 'Nat_set$' > 'Nat$' ).
tff(func_def_363,type,
sK215: ( 'Nat_set$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_364,type,
sK216: ( 'Unit_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_unit_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_365,type,
sK217: ( 'Nat$' * 'Unit_nat_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_366,type,
sK218: ( 'Nat$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_367,type,
sK219: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_368,type,
sK220: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_369,type,
sK221: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_370,type,
sK222: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_371,type,
sK223: 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_372,type,
sK224: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_373,type,
sK225: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_374,type,
sK226: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_375,type,
sK227: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_376,type,
sK228: ( 'Nat$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_377,type,
sK229: ( '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$' ).
tff(func_def_378,type,
sK230: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_379,type,
sK231: ( 'Nat$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_380,type,
sK232: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_381,type,
sK233: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_382,type,
sK234: 'Nat_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_383,type,
sK235: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_385,type,
'$inst237': $int ).
tff(pred_def_1,type,
'csubspace$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$' * 'A_ell2_a_ell2_cblinfun_set$' ) > $o ).
tff(pred_def_75,type,
sP0: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_76,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_77,type,
sP2: ( $int * $int * $int ) > $o ).
tff(pred_def_78,type,
sP3: ( $int * $int * $int ) > $o ).
tff(pred_def_79,type,
sP4: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_80,type,
sP5: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_81,type,
sP6: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_82,type,
sP7: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).
tff(pred_def_83,type,
sP8: ( 'Nat$' * '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$')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture2) ).
tff(f4,negated_conjecture,
( ( ~ 'fun_app$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$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5) ).
tff(f8,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$h'('j$',X0) = 'fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom6) ).
tff(f9,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$a'('member$'('fun_app$e'('f$',X0)),'image$'('g$','top$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom7) ).
tff(f108,axiom,
! [X0: 'C_ell2_c_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_set$',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$'(X2,X1),X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom106) ).
tff(f232,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2: 'A_ell2_a_ell2_cblinfun$',X1: 'A_ell2_a_ell2_cblinfun$'] :
( '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)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom230) ).
tff(f745,plain,
! [X1: 'B_ell2_b_ell2_cblinfun_set$',X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0: 'C_ell2_c_ell2_cblinfun$'] :
( 'fun_app$a'('member$'(X0),'image$'(X2,X1))
=> ( 'fun_app$c'(X2,'fun_app$d'('inv_into$'(X1,X2),X0)) = X0 ) ),
inference(rectify,[],[f108]) ).
tff(f817,plain,
'fun_app$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$')))),
inference(flattening,[],[f4]) ).
tff(f1066,plain,
! [X2: 'A_ell2_a_ell2_cblinfun$',X1: 'A_ell2_a_ell2_cblinfun$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( 'register$a'(X0)
=> ( 'fun_app$e'(X0,'fun_app$f'('cblinfun_compose$'(X2),X1)) = 'fun_app$g'('cblinfun_compose$a'('fun_app$e'(X0,X2)),'fun_app$e'(X0,X1)) ) ),
inference(rectify,[],[f232]) ).
tff(f1383,plain,
! [X1: 'B_ell2_b_ell2_cblinfun_set$',X0: 'C_ell2_c_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( ~ 'fun_app$a'('member$'(X0),'image$'(X2,X1))
| ( 'fun_app$c'(X2,'fun_app$d'('inv_into$'(X1,X2),X0)) = X0 ) ),
inference(ennf_transformation,[],[f745]) ).
tff(f1560,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2: 'A_ell2_a_ell2_cblinfun$',X1: 'A_ell2_a_ell2_cblinfun$'] :
( ( 'fun_app$e'(X0,'fun_app$f'('cblinfun_compose$'(X2),X1)) = 'fun_app$g'('cblinfun_compose$a'('fun_app$e'(X0,X2)),'fun_app$e'(X0,X1)) )
| ~ 'register$a'(X0) ),
inference(ennf_transformation,[],[f1066]) ).
tff(f1758,plain,
! [X0: 'B_ell2_b_ell2_cblinfun_set$',X1: 'C_ell2_c_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( ~ 'fun_app$a'('member$'(X1),'image$'(X2,X0))
| ( 'fun_app$c'(X2,'fun_app$d'('inv_into$'(X0,X2),X1)) = X1 ) ),
inference(rectify,[],[f1383]) ).
tff(f2252,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',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(rectify,[],[f1560]) ).
tff(f2445,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0: 'B_ell2_b_ell2_cblinfun_set$',X1: 'C_ell2_c_ell2_cblinfun$'] :
( ( 'fun_app$c'(X2,'fun_app$d'('inv_into$'(X0,X2),X1)) = X1 )
| ~ 'fun_app$a'('member$'(X1),'image$'(X2,X0)) ),
inference(cnf_transformation,[],[f1758]) ).
tff(f2593,plain,
'fun_app$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$')))),
inference(cnf_transformation,[],[f817]) ).
tff(f2673,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$a'('member$'('fun_app$e'('f$',X0)),'image$'('g$','top$')),
inference(cnf_transformation,[],[f9]) ).
tff(f3030,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$h'('j$',X0) = 'fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X0)) ),
inference(cnf_transformation,[],[f8]) ).
tff(f3143,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$'] :
( ( 'fun_app$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$a'(X0) ),
inference(cnf_transformation,[],[f2252]) ).
tff(f3266,plain,
'register$a'('f$'),
inference(cnf_transformation,[],[f7]) ).
tff(f3611,definition,
( spl236_24
<=> 'register$a'('f$') ),
introduced(definition,[new_symbols(definition,[spl236_24])],[avatar_definition]) ).
tff(f3613,plain,
( 'register$a'('f$')
| ~ spl236_24 ),
inference(avatar_component_clause,[],[f3611]) ).
tff(f3614,plain,
spl236_24,
inference(avatar_split_clause,[],[f3266,f3611]) ).
tff(f3657,plain,
'fun_app$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$'))),
inference(forward_demodulation,[],[f2593,f3030]) ).
tff(f3716,plain,
'fun_app$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$'))),
inference(forward_demodulation,[],[f3657,f3030]) ).
tff(f3717,plain,
'fun_app$c'('g$','fun_app$h'('j$','fun_app$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$'))),
inference(forward_demodulation,[],[f3716,f3030]) ).
tff(f3719,definition,
( spl236_41
<=> ( 'fun_app$c'('g$','fun_app$h'('j$','fun_app$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$'))) ) ),
introduced(definition,[new_symbols(definition,[spl236_41])],[avatar_definition]) ).
tff(f3721,plain,
( ( 'fun_app$c'('g$','fun_app$h'('j$','fun_app$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$'))) )
| spl236_41 ),
inference(avatar_component_clause,[],[f3719]) ).
tff(f3722,plain,
~ spl236_41,
inference(avatar_split_clause,[],[f3717,f3719]) ).
tff(f3787,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$e'('f$',X0) = 'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X0))) ),
inference(unit_resulting_resolution,[],[f2445,f2673]) ).
tff(f3796,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$e'('f$',X0) = 'fun_app$c'('g$','fun_app$h'('j$',X0)) ),
inference(forward_demodulation,[],[f3787,f3030]) ).
tff(f3869,plain,
( ! [X0: 'A_ell2_a_ell2_cblinfun$',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$'(X0),X1)) )
| ~ spl236_24 ),
inference(unit_resulting_resolution,[],[f3143,f3613]) ).
tff(f4318,plain,
( ( 'fun_app$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$'))) )
| spl236_41 ),
inference(superposition,[],[f3721,f3796]) ).
tff(f4357,plain,
( ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'('f$','a$')),'fun_app$e'('f$','b$')) != 'fun_app$c'('g$','fun_app$h'('j$','fun_app$f'('cblinfun_compose$'('a$'),'b$'))) )
| spl236_41 ),
inference(forward_demodulation,[],[f4318,f3796]) ).
tff(f4363,plain,
( ( 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) != 'fun_app$g'('cblinfun_compose$a'('fun_app$e'('f$','a$')),'fun_app$e'('f$','b$')) )
| spl236_41 ),
inference(forward_demodulation,[],[f4357,f3796]) ).
tff(f4367,plain,
( ( 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) != 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) )
| ~ spl236_24
| spl236_41 ),
inference(forward_demodulation,[],[f4363,f3869]) ).
tff(f4368,plain,
( $false
| ~ spl236_24
| spl236_41 ),
inference(trivial_inequality_removal,[],[f4367]) ).
tff(f4369,plain,
( ~ spl236_24
| spl236_41 ),
inference(avatar_contradiction_clause,[],[f4368]) ).
tff(f4370,plain,
$false,
inference(avatar_smt_refutation,[],[f4369,f3722,f3614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP396_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 12:57:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.49/1.42 % (3362510)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.49/1.42 % (3362518)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2861911915:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.49/1.42 % (3362518)Instruction limit reached!
% 3.49/1.42 % (3362518)------------------------------
% 3.49/1.42 % (3362518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.42 % (3362518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.42 % (3362518)CaDiCaL version: 2.1.3
% 3.49/1.42 % (3362518)Termination reason: Instruction limit
% 3.49/1.42 % (3362518)Termination phase: SInE selection
% 3.49/1.42 % (3362518)Time elapsed: 0.005 s
% 3.49/1.42 % (3362518)Peak memory usage: 86 MB
% 3.49/1.42 % (3362518)Instructions burned: 18 (million)
% 3.49/1.42 % (3362517)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3553172111:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.49/1.42 % (3362516)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3384380332:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.49/1.42 % (3362519)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1743178519:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.49/1.42 % (3362520)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3521843730:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.49/1.42 % (3362521)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1961840289:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.49/1.42 % (3362515)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3666180714:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.49/1.42 % (3362519)Instruction limit reached!
% 3.49/1.42 % (3362519)------------------------------
% 3.49/1.42 % (3362519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.42 % (3362519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.42 % (3362519)CaDiCaL version: 2.1.3
% 3.49/1.42 % (3362519)Termination reason: Instruction limit
% 3.49/1.42 % (3362519)Termination phase: Property scanning
% 3.49/1.42 % (3362519)Time elapsed: 0.003 s
% 3.49/1.42 % (3362519)Peak memory usage: 85 MB
% 3.49/1.42 % (3362519)Instructions burned: 4 (million)
% 3.49/1.42 % (3362515)Instruction limit reached!
% 3.49/1.42 % (3362515)------------------------------
% 3.49/1.42 % (3362515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.42 % (3362515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.42 % (3362515)CaDiCaL version: 2.1.3
% 3.49/1.42 % (3362515)Termination reason: Instruction limit
% 3.49/1.42 % (3362515)Termination phase: Property scanning
% 3.49/1.42 % (3362515)Time elapsed: 0.007 s
% 3.49/1.42 % (3362515)Peak memory usage: 85 MB
% 3.49/1.42 % (3362515)Instructions burned: 13 (million)
% 3.49/1.42 % (3362521)Instruction limit reached!
% 3.49/1.42 % (3362521)------------------------------
% 3.49/1.42 % (3362521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.42 % (3362521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.42 % (3362521)CaDiCaL version: 2.1.3
% 3.49/1.42 % (3362521)Termination reason: Instruction limit
% 3.49/1.42 % (3362521)Termination phase: Preprocessing 3
% 3.49/1.42 % (3362521)Time elapsed: 0.020 s
% 3.49/1.42 % (3362521)Peak memory usage: 88 MB
% 3.49/1.42 % (3362521)Instructions burned: 33 (million)
% 3.49/1.42 % (3362520)Instruction limit reached!
% 3.49/1.42 % (3362520)------------------------------
% 3.49/1.42 % (3362520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.42 % (3362520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.42 % (3362520)CaDiCaL version: 2.1.3
% 3.49/1.42 % (3362520)Termination reason: Instruction limit
% 3.49/1.42 % (3362520)Termination phase: Property scanning
% 3.49/1.42 % (3362520)Time elapsed: 0.026 s
% 3.49/1.42 % (3362520)Peak memory usage: 88 MB
% 3.49/1.42 % (3362520)Instructions burned: 47 (million)
% 3.49/1.42 % (3362523)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=785397287:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.49/1.42 % (3362523)Instruction limit reached!
% 3.49/1.42 % (3362523)------------------------------
% 4.46/1.58 % (3362523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.58 % (3362523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.58 % (3362523)CaDiCaL version: 2.1.3
% 4.46/1.58 % (3362523)Termination reason: Instruction limit
% 4.46/1.58 % (3362523)Termination phase: Preprocessing 1
% 4.46/1.58 % (3362523)Time elapsed: 0.005 s
% 4.46/1.58 % (3362523)Peak memory usage: 86 MB
% 4.46/1.58 % (3362523)Instructions burned: 15 (million)
% 4.46/1.58 % (3362531)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2742392140:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.46/1.58 % (3362530)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1420696855:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.46/1.58 % (3362517)Instruction limit reached!
% 4.46/1.58 % (3362517)------------------------------
% 4.46/1.58 % (3362517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.58 % (3362517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.58 % (3362517)CaDiCaL version: 2.1.3
% 4.46/1.58 % (3362517)Termination reason: Instruction limit
% 4.46/1.58 % (3362517)Termination phase: Saturation
% 4.46/1.58 % (3362517)Time elapsed: 0.156 s
% 4.46/1.58 % (3362517)Peak memory usage: 119 MB
% 4.46/1.58 % (3362517)Instructions burned: 202 (million)
% 4.46/1.58 % (3362531)Instruction limit reached!
% 4.46/1.58 % (3362531)------------------------------
% 4.46/1.58 % (3362531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.58 % (3362531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.58 % (3362531)CaDiCaL version: 2.1.3
% 4.46/1.58 % (3362531)Termination reason: Instruction limit
% 4.46/1.58 % (3362531)Termination phase: Preprocessing 2
% 4.46/1.58 % (3362531)Time elapsed: 0.010 s
% 4.46/1.58 % (3362531)Peak memory usage: 86 MB
% 4.46/1.58 % (3362531)Instructions burned: 16 (million)
% 4.46/1.58 % (3362530)Instruction limit reached!
% 4.46/1.58 % (3362530)------------------------------
% 4.46/1.58 % (3362530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.58 % (3362530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.58 % (3362530)CaDiCaL version: 2.1.3
% 4.46/1.58 % (3362530)Termination reason: Instruction limit
% 4.46/1.58 % (3362530)Termination phase: Preprocessing 3
% 4.46/1.58 % (3362530)Time elapsed: 0.019 s
% 4.46/1.58 % (3362530)Peak memory usage: 87 MB
% 4.46/1.58 % (3362530)Instructions burned: 30 (million)
% 4.46/1.58 % (3362532)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2612432897:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.46/1.58 % (3362533)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3573293791:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.46/1.58 % (3362532)Instruction limit reached!
% 4.46/1.58 % (3362532)------------------------------
% 4.46/1.58 % (3362532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.58 % (3362532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.58 % (3362532)CaDiCaL version: 2.1.3
% 4.46/1.58 % (3362532)Termination reason: Instruction limit
% 4.46/1.58 % (3362532)Termination phase: shuffling
% 4.46/1.58 % (3362532)Time elapsed: 0.014 s
% 4.46/1.58 % (3362532)Peak memory usage: 87 MB
% 4.46/1.58 % (3362532)Instructions burned: 24 (million)
% 4.46/1.58 % (3362533)Instruction limit reached!
% 4.46/1.58 % (3362533)------------------------------
% 4.46/1.58 % (3362533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.58 % (3362533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.58 % (3362533)CaDiCaL version: 2.1.3
% 4.46/1.58 % (3362533)Termination reason: Instruction limit
% 4.46/1.58 % (3362533)Termination phase: Preprocessing 3
% 4.46/1.58 % (3362533)Time elapsed: 0.016 s
% 4.46/1.58 % (3362533)Peak memory usage: 87 MB
% 4.46/1.58 % (3362533)Instructions burned: 27 (million)
% 4.46/1.58 % (3362535)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2416819023:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.46/1.58 % (3362516)Instruction limit reached!
% 4.46/1.58 % (3362516)------------------------------
% 5.60/1.74 % (3362516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.74 % (3362516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.74 % (3362516)CaDiCaL version: 2.1.3
% 5.60/1.74 % (3362516)Termination reason: Instruction limit
% 5.60/1.74 % (3362516)Termination phase: Saturation
% 5.60/1.74 % (3362516)Time elapsed: 0.219 s
% 5.60/1.74 % (3362516)Peak memory usage: 119 MB
% 5.60/1.74 % (3362516)Instructions burned: 308 (million)
% 5.60/1.74 % (3362535)Instruction limit reached!
% 5.60/1.74 % (3362535)------------------------------
% 5.60/1.74 % (3362535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.74 % (3362535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.74 % (3362535)CaDiCaL version: 2.1.3
% 5.60/1.74 % (3362535)Termination reason: Instruction limit
% 5.60/1.74 % (3362535)Termination phase: Saturation
% 5.60/1.74 % (3362535)Time elapsed: 0.025 s
% 5.60/1.74 % (3362535)Peak memory usage: 90 MB
% 5.60/1.74 % (3362535)Instructions burned: 86 (million)
% 5.60/1.74 % (3362538)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2934991745:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.60/1.74 % (3362539)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3993452397:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.60/1.74 % (3362538)Instruction limit reached!
% 5.60/1.74 % (3362538)------------------------------
% 5.60/1.74 % (3362538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.74 % (3362538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.74 % (3362538)CaDiCaL version: 2.1.3
% 5.60/1.74 % (3362538)Termination reason: Instruction limit
% 5.60/1.74 % (3362538)Termination phase: Property scanning
% 5.60/1.74 % (3362538)Time elapsed: 0.003 s
% 5.60/1.74 % (3362538)Peak memory usage: 85 MB
% 5.60/1.74 % (3362538)Instructions burned: 3 (million)
% 5.60/1.74 % (3362542)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1109805913:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.60/1.74 % (3362542)Instruction limit reached!
% 5.60/1.74 % (3362542)------------------------------
% 5.60/1.74 % (3362542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.74 % (3362542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.74 % (3362542)CaDiCaL version: 2.1.3
% 5.60/1.74 % (3362542)Termination reason: Instruction limit
% 5.60/1.74 % (3362542)Termination phase: Property scanning
% 5.60/1.74 % (3362542)Time elapsed: 0.004 s
% 5.60/1.74 % (3362542)Peak memory usage: 86 MB
% 5.60/1.74 % (3362542)Instructions burned: 6 (million)
% 5.60/1.74 % (3362544)lrs+10_1_thi=all:si=on:fd=off:random_seed=63718824:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.60/1.74 % (3362543)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=854180986:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.60/1.74 % (3362547)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=134071420:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.60/1.74 % (3362547)Instruction limit reached!
% 5.60/1.74 % (3362547)------------------------------
% 5.60/1.74 % (3362547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.74 % (3362547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.74 % (3362547)CaDiCaL version: 2.1.3
% 5.60/1.74 % (3362547)Termination reason: Instruction limit
% 5.60/1.74 % (3362547)Termination phase: Property scanning
% 5.60/1.74 % (3362547)Time elapsed: 0.002 s
% 5.60/1.74 % (3362547)Peak memory usage: 86 MB
% 5.60/1.74 % (3362547)Instructions burned: 5 (million)
% 5.60/1.74 % (3362544)Instruction limit reached!
% 5.60/1.74 % (3362544)------------------------------
% 5.60/1.74 % (3362544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.74 % (3362544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.74 % (3362544)CaDiCaL version: 2.1.3
% 5.60/1.74 % (3362544)Termination reason: Instruction limit
% 5.60/1.74 % (3362544)Termination phase: Property scanning
% 5.60/1.74 % (3362544)Time elapsed: 0.030 s
% 5.60/1.74 % (3362544)Peak memory usage: 88 MB
% 5.60/1.74 % (3362544)Instructions burned: 53 (million)
% 5.60/1.74 % (3362546)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3323526453:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 6.98/1.90 % (3362546)Instruction limit reached!
% 6.98/1.90 % (3362546)------------------------------
% 6.98/1.90 % (3362546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.90 % (3362546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.90 % (3362546)CaDiCaL version: 2.1.3
% 6.98/1.90 % (3362546)Termination reason: Instruction limit
% 6.98/1.90 % (3362546)Termination phase: Property scanning
% 6.98/1.90 % (3362546)Time elapsed: 0.005 s
% 6.98/1.90 % (3362546)Peak memory usage: 85 MB
% 6.98/1.90 % (3362546)Instructions burned: 8 (million)
% 6.98/1.90 % (3362543)Instruction limit reached!
% 6.98/1.90 % (3362543)------------------------------
% 6.98/1.90 % (3362543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.90 % (3362543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.90 % (3362543)CaDiCaL version: 2.1.3
% 6.98/1.90 % (3362543)Termination reason: Instruction limit
% 6.98/1.90 % (3362543)Termination phase: Saturation
% 6.98/1.90 % (3362543)Time elapsed: 0.066 s
% 6.98/1.90 % (3362543)Peak memory usage: 119 MB
% 6.98/1.90 % (3362543)Instructions burned: 66 (million)
% 6.98/1.90 % (3362539)Instruction limit reached!
% 6.98/1.90 % (3362539)------------------------------
% 6.98/1.90 % (3362539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.90 % (3362539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.90 % (3362539)CaDiCaL version: 2.1.3
% 6.98/1.90 % (3362539)Termination reason: Instruction limit
% 6.98/1.90 % (3362539)Termination phase: Saturation
% 6.98/1.90 % (3362539)Time elapsed: 0.120 s
% 6.98/1.90 % (3362539)Peak memory usage: 90 MB
% 6.98/1.90 % (3362539)Instructions burned: 181 (million)
% 6.98/1.90 % (3362551)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3816672848:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 6.98/1.90 % (3362551)Instruction limit reached!
% 6.98/1.90 % (3362551)------------------------------
% 6.98/1.90 % (3362551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.90 % (3362551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.90 % (3362551)CaDiCaL version: 2.1.3
% 6.98/1.90 % (3362551)Termination reason: Instruction limit
% 6.98/1.90 % (3362551)Termination phase: Property scanning
% 6.98/1.90 % (3362551)Time elapsed: 0.003 s
% 6.98/1.90 % (3362551)Peak memory usage: 86 MB
% 6.98/1.90 % (3362551)Instructions burned: 3 (million)
% 6.98/1.90 % (3362552)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2824326450:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 6.98/1.90 % (3362556)dis+10_1_si=on:random_seed=1843054487:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.98/1.90 % (3362556)Instruction limit reached!
% 6.98/1.90 % (3362556)------------------------------
% 6.98/1.90 % (3362556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.90 % (3362556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.90 % (3362556)CaDiCaL version: 2.1.3
% 6.98/1.90 % (3362556)Termination reason: Instruction limit
% 6.98/1.90 % (3362556)Termination phase: Property scanning
% 6.98/1.90 % (3362556)Time elapsed: 0.004 s
% 6.98/1.90 % (3362556)Peak memory usage: 86 MB
% 6.98/1.90 % (3362556)Instructions burned: 13 (million)
% 6.98/1.90 % (3362557)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2611420523:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.98/1.90 % (3362559)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3322135103:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 6.98/1.90 % (3362557)Instruction limit reached!
% 6.98/1.90 % (3362557)------------------------------
% 6.98/1.90 % (3362557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/1.90 % (3362557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.90 % (3362557)CaDiCaL version: 2.1.3
% 6.98/1.90 % (3362557)Termination reason: Instruction limit
% 6.98/1.90 % (3362557)Termination phase: Preprocessing 3
% 6.98/1.90 % (3362557)Time elapsed: 0.016 s
% 9.04/2.21 % (3362557)Peak memory usage: 87 MB
% 9.04/2.21 % (3362557)Instructions burned: 26 (million)
% 9.04/2.21 % (3362552)Instruction limit reached!
% 9.04/2.21 % (3362552)------------------------------
% 9.04/2.21 % (3362552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362552)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362552)Termination reason: Instruction limit
% 9.04/2.21 % (3362552)Termination phase: Saturation
% 9.04/2.21 % (3362552)Time elapsed: 0.105 s
% 9.04/2.21 % (3362552)Peak memory usage: 118 MB
% 9.04/2.21 % (3362552)Instructions burned: 128 (million)
% 9.04/2.21 % (3362559)Instruction limit reached!
% 9.04/2.21 % (3362559)------------------------------
% 9.04/2.21 % (3362559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362559)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362559)Termination reason: Instruction limit
% 9.04/2.21 % (3362559)Termination phase: Preprocessing 3
% 9.04/2.21 % (3362559)Time elapsed: 0.023 s
% 9.04/2.21 % (3362559)Peak memory usage: 88 MB
% 9.04/2.21 % (3362559)Instructions burned: 36 (million)
% 9.04/2.21 % (3362560)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3911393362:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 9.04/2.21 % (3362560)Instruction limit reached!
% 9.04/2.21 % (3362560)------------------------------
% 9.04/2.21 % (3362560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362560)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362560)Termination reason: Instruction limit
% 9.04/2.21 % (3362560)Termination phase: Property scanning
% 9.04/2.21 % (3362560)Time elapsed: 0.003 s
% 9.04/2.21 % (3362560)Peak memory usage: 86 MB
% 9.04/2.21 % (3362560)Instructions burned: 3 (million)
% 9.04/2.21 % (3362566)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=166680591:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 9.04/2.21 % (3362561)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1468274948:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 9.04/2.21 % (3362566)Instruction limit reached!
% 9.04/2.21 % (3362566)------------------------------
% 9.04/2.21 % (3362566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362566)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362566)Termination reason: Instruction limit
% 9.04/2.21 % (3362566)Termination phase: shuffling
% 9.04/2.21 % (3362566)Time elapsed: 0.004 s
% 9.04/2.21 % (3362566)Peak memory usage: 86 MB
% 9.04/2.21 % (3362566)Instructions burned: 16 (million)
% 9.04/2.21 % (3362561)Instruction limit reached!
% 9.04/2.21 % (3362561)------------------------------
% 9.04/2.21 % (3362561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362561)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362561)Termination reason: Instruction limit
% 9.04/2.21 % (3362561)Termination phase: Property scanning
% 9.04/2.21 % (3362561)Time elapsed: 0.005 s
% 9.04/2.21 % (3362561)Peak memory usage: 86 MB
% 9.04/2.21 % (3362561)Instructions burned: 9 (million)
% 9.04/2.21 % (3362563)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3291268706:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 9.04/2.21 % (3362576)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3562538559:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 9.04/2.21 % (3362569)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2709735719:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 9.04/2.21 % (3362573)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2501477669:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 9.04/2.21 % (3362575)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1255921898:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 9.04/2.21 % (3362571)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1319749658:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 9.04/2.21 % (3362571)Instruction limit reached!
% 9.04/2.21 % (3362571)------------------------------
% 9.04/2.21 % (3362571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362571)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362571)Termination reason: Instruction limit
% 9.04/2.21 % (3362571)Termination phase: Preprocessing 1
% 9.04/2.21 % (3362571)Time elapsed: 0.007 s
% 9.04/2.21 % (3362571)Peak memory usage: 85 MB
% 9.04/2.21 % (3362571)Instructions burned: 11 (million)
% 9.04/2.21 % (3362569)Refutation not found, incomplete strategy
% 9.04/2.21 % (3362569)------------------------------
% 9.04/2.21 % (3362569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362569)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362569)Termination reason: Refutation not found, incomplete strategy
% 9.04/2.21 % (3362569)Time elapsed: 0.047 s
% 9.04/2.21 % (3362569)Peak memory usage: 116 MB
% 9.04/2.21 % (3362569)Instructions burned: 38 (million)
% 9.04/2.21 % (3362577)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3487872784:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2992 on theBenchmark for (2992ds/130Mi)
% 9.04/2.21 % (3362575)Instruction limit reached!
% 9.04/2.21 % (3362575)------------------------------
% 9.04/2.21 % (3362575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362575)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362575)Termination reason: Instruction limit
% 9.04/2.21 % (3362575)Termination phase: Saturation
% 9.04/2.21 % (3362575)Time elapsed: 0.041 s
% 9.04/2.21 % (3362575)Peak memory usage: 91 MB
% 9.04/2.21 % (3362575)Instructions burned: 75 (million)
% 9.04/2.21 % (3362573)Instruction limit reached!
% 9.04/2.21 % (3362573)------------------------------
% 9.04/2.21 % (3362573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362573)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362573)Termination reason: Instruction limit
% 9.04/2.21 % (3362573)Termination phase: Saturation
% 9.04/2.21 % (3362573)Time elapsed: 0.058 s
% 9.04/2.21 % (3362573)Peak memory usage: 113 MB
% 9.04/2.21 % (3362573)Instructions burned: 71 (million)
% 9.04/2.21 % (3362576)Instruction limit reached!
% 9.04/2.21 % (3362576)------------------------------
% 9.04/2.21 % (3362576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362576)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362576)Termination reason: Instruction limit
% 9.04/2.21 % (3362576)Termination phase: Saturation
% 9.04/2.21 % (3362576)Time elapsed: 0.113 s
% 9.04/2.21 % (3362576)Peak memory usage: 93 MB
% 9.04/2.21 % (3362576)Instructions burned: 296 (million)
% 9.04/2.21 % (3362563)Instruction limit reached!
% 9.04/2.21 % (3362563)------------------------------
% 9.04/2.21 % (3362563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362563)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362563)Termination reason: Instruction limit
% 9.04/2.21 % (3362563)Termination phase: Saturation
% 9.04/2.21 % (3362563)Time elapsed: 0.212 s
% 9.04/2.21 % (3362563)Peak memory usage: 93 MB
% 9.04/2.21 % (3362563)Instructions burned: 370 (million)
% 9.04/2.21 % (3362577)Instruction limit reached!
% 9.04/2.21 % (3362577)------------------------------
% 9.04/2.21 % (3362577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362577)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362577)Termination reason: Instruction limit
% 9.04/2.21 % (3362577)Termination phase: Saturation
% 9.04/2.21 % (3362577)Time elapsed: 0.098 s
% 9.04/2.21 % (3362577)Peak memory usage: 118 MB
% 9.04/2.21 % (3362577)Instructions burned: 131 (million)
% 9.04/2.21 % (3362584)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=1675475032:i=131:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 9.04/2.21 % (3362588)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1144677560:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 9.04/2.21 % (3362587)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=882326873:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 9.04/2.21 % (3362586)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=4138105258:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 9.04/2.21 % (3362586)Instruction limit reached!
% 9.04/2.21 % (3362586)------------------------------
% 9.04/2.21 % (3362586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362586)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362586)Termination reason: Instruction limit
% 9.04/2.21 % (3362586)Termination phase: Naming
% 9.04/2.21 % (3362586)Time elapsed: 0.021 s
% 9.04/2.21 % (3362586)Peak memory usage: 87 MB
% 9.04/2.21 % (3362586)Instructions burned: 40 (million)
% 9.04/2.21 % (3362589)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1140287211:i=131:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 9.04/2.21 % (3362587)Refutation not found, incomplete strategy
% 9.04/2.21 % (3362587)------------------------------
% 9.04/2.21 % (3362587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362587)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362587)Termination reason: Refutation not found, incomplete strategy
% 9.04/2.21 % (3362587)Time elapsed: 0.063 s
% 9.04/2.21 % (3362587)Peak memory usage: 92 MB
% 9.04/2.21 % (3362587)Instructions burned: 108 (million)
% 9.04/2.21 % (3362569)------------------------------
% 9.04/2.21 % (3362569)------------------------------
% 9.04/2.21 % (3362584)Instruction limit reached!
% 9.04/2.21 % (3362584)------------------------------
% 9.04/2.21 % (3362584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362584)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362584)Termination reason: Instruction limit
% 9.04/2.21 % (3362584)Termination phase: Saturation
% 9.04/2.21 % (3362584)Time elapsed: 0.126 s
% 9.04/2.21 % (3362584)Peak memory usage: 136 MB
% 9.04/2.21 % (3362584)Instructions burned: 132 (million)
% 9.04/2.21 % (3362588)First to succeed.
% 9.04/2.21 % (3362588)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3362510"
% 9.04/2.21 % (3362590)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=3473917103:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2989 on theBenchmark for (2989ds/259Mi)
% 9.04/2.21 % (3362589)Instruction limit reached!
% 9.04/2.21 % (3362589)------------------------------
% 9.04/2.21 % (3362589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (3362589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (3362589)CaDiCaL version: 2.1.3
% 9.04/2.21 % (3362589)Termination reason: Instruction limit
% 9.04/2.21 % (3362589)Termination phase: Saturation
% 9.04/2.21 % (3362589)Time elapsed: 0.105 s
% 9.04/2.21 % (3362589)Peak memory usage: 119 MB
% 9.04/2.21 % (3362589)Instructions burned: 132 (million)
% 9.04/2.21 % (3362595)dis+10_1_si=on:random_seed=3960182731:s2a=on:i=1000:rtra=on:gtg=exists_all_2988 on theBenchmark for (2988ds/1000Mi)
% 9.04/2.21 % (3362597)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=1726535611:i=383:fsr=off:rtra=on:ev=force_2988 on theBenchmark for (2988ds/383Mi)
% 9.04/2.21 % (3362588)Refutation found. Thanks to Tanya!
% 9.04/2.21 % SZS status Theorem for theBenchmark
% 9.04/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/2.40 % (3362588)------------------------------
% 0.14/2.40 % (3362588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.40 % (3362588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.40 % (3362588)CaDiCaL version: 2.1.3
% 0.14/2.40 % (3362588)Termination reason: Refutation
% 0.14/2.40 % (3362588)Time elapsed: 0.107 s
% 0.14/2.40 % (3362588)Peak memory usage: 138 MB
% 0.14/2.40 % (3362588)Instructions burned: 212 (million)
% 0.14/2.40 % (3362588)------------------------------
% 0.14/2.40 % (3362588)------------------------------
% 0.14/2.40 % (3362510)Success in time 1.378 s
% 0.14/2.40 % Vampire exiting
%------------------------------------------------------------------------------