TSTP Solution File: ITP396_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:27:27 EDT 2022
% Result : Theorem 7.23s 1.40s
% Output : Refutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 598
% Syntax : Number of formulae : 787 ( 67 unt; 508 typ; 0 def)
% Number of atoms : 596 ( 121 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 537 ( 220 ~; 214 |; 14 &)
% ( 73 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 11 ( 0 atm; 0 fun; 11 num; 0 var)
% Number of types : 59 ( 57 usr; 1 ari)
% Number of type conns : 764 ( 413 >; 351 *; 0 +; 0 <<)
% Number of predicates : 122 ( 120 usr; 49 prp; 0-2 aty)
% Number of functors : 380 ( 379 usr; 39 con; 0-3 aty)
% Number of variables : 153 ( 151 !; 2 ?; 153 :)
% 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$' ).
tff(func_def_157,type,
sK0: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_158,type,
sK1: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_159,type,
sK2: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_160,type,
sK3: ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_161,type,
sK4: ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_162,type,
sK5: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_163,type,
sK6: 'Unit_set$' > 'Unit$' ).
tff(func_def_164,type,
sK7: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_165,type,
sK8: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_166,type,
sK9: ( '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_167,type,
sK10: ( '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$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_168,type,
sK11: ( '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$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_169,type,
sK12: ( 'Nat_set$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'Nat$' ).
tff(func_def_170,type,
sK13: 'Nat_set$' > 'Nat$' ).
tff(func_def_171,type,
sK14: ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_172,type,
sK15: ( 'Nat_set$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'Nat$' ).
tff(func_def_173,type,
sK16: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_174,type,
sK17: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_175,type,
sK18: ( '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_176,type,
sK19: ( 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_177,type,
sK20: ( 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_178,type,
sK21: ( 'Nat$' * 'Unit_set$' ) > 'Unit_set$' ).
tff(func_def_179,type,
sK22: ( 'Unit_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_unit_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_180,type,
sK23: ( 'Nat$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_181,type,
sK24: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_182,type,
sK25: ( '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$' ).
tff(func_def_183,type,
sK26: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_184,type,
sK27: ( 'Nat_nat_fun$' * 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_185,type,
sK28: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_186,type,
sK29: ( 'A_ell2_a_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_187,type,
sK30: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_188,type,
sK31: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_189,type,
sK32: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_190,type,
sK33: 'B_ell2_b_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_191,type,
sK34: ( 'Nat_set$' * 'C_ell2_c_ell2_cblinfun_set$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_192,type,
sK35: ( 'Nat_nat_fun$' * 'Nat_bool_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_193,type,
sK36: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_194,type,
sK37: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_195,type,
sK38: ( 'A_ell2_a_ell2_cblinfun_set$' * '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$' ).
tff(func_def_196,type,
sK39: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_197,type,
sK40: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_198,type,
sK41: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_199,type,
sK42: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit_a_ell2_a_ell2_cblinfun_fun$' ) > 'Unit$' ).
tff(func_def_200,type,
sK43: ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_201,type,
sK44: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'Nat$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_202,type,
sK45: 'Nat_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_203,type,
sK46: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_204,type,
sK47: 'Unit$' ).
tff(func_def_205,type,
sK48: ( '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_206,type,
sK49: ( 'Nat_unit_fun$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_207,type,
sK50: 'B_ell2_b_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_208,type,
sK51: ( 'B_ell2_b_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_209,type,
sK52: 'C_ell2_c_ell2_cblinfun_set$' > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_210,type,
sK53: ( 'Nat_set$' * 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_211,type,
sK54: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_212,type,
sK55: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_213,type,
sK56: ( 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_214,type,
sK57: ( 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_215,type,
sK58: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_216,type,
sK59: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_217,type,
sK60: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_218,type,
sK61: ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_219,type,
sK62: ( 'C_ell2_c_ell2_cblinfun_set$' * '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_220,type,
sK63: ( 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_221,type,
sK64: ( '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_222,type,
sK65: ( '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_223,type,
sK66: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_224,type,
sK67: ( 'Unit$' * 'Unit_unit_fun$' ) > 'Unit$' ).
tff(func_def_225,type,
sK68: ( 'Nat_unit_fun$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_226,type,
sK69: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'Nat$' ).
tff(func_def_227,type,
sK70: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ).
tff(func_def_228,type,
sK71: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_229,type,
sK72: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' * 'B_ell2_b_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_230,type,
sK73: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_231,type,
sK74: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_232,type,
sK75: 'Unit_nat_fun$' > 'Nat$' ).
tff(func_def_233,type,
sK76: ( 'Unit_nat_fun$' * 'Nat$' ) > 'Unit$' ).
tff(func_def_234,type,
sK77: ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_235,type,
sK78: ( 'Unit$' * 'Nat_unit_fun$' ) > 'Nat$' ).
tff(func_def_236,type,
sK79: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_237,type,
sK80: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_238,type,
sK81: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat_a_ell2_a_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_239,type,
sK82: ( 'Nat_set$' * 'C_ell2_c_ell2_cblinfun$' * 'Nat_c_ell2_c_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_240,type,
sK83: ( 'Nat$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_241,type,
sK84: ( 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_242,type,
sK85: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_243,type,
sK86: ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_244,type,
sK87: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_245,type,
sK88: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'B_ell2_b_ell2_cblinfun_bool_fun$' ) > 'Nat$' ).
tff(func_def_246,type,
sK89: ( 'Nat$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_247,type,
sK90: ( 'Nat$' * 'Unit_nat_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_248,type,
sK91: ( 'C_ell2_c_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_249,type,
sK92: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'Nat_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_250,type,
sK93: 'Nat$' ).
tff(func_def_251,type,
sK94: ( '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_252,type,
sK95: ( 'Unit_nat_fun$' * 'Nat_unit_fun$' ) > 'Nat$' ).
tff(func_def_253,type,
sK96: ( 'Unit$' * 'B_ell2_b_ell2_cblinfun_unit_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_254,type,
sK97: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_255,type,
sK98: ( 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_256,type,
sK99: 'Nat_set$' > 'Nat$' ).
tff(func_def_257,type,
sK100: ( 'Nat_set$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_258,type,
sK101: 'B_ell2_b_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_259,type,
sK102: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_260,type,
sK103: ( 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).
tff(func_def_261,type,
sK104: ( '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$' ).
tff(func_def_262,type,
sK105: ( 'A_ell2_a_ell2_cblinfun$' * 'Nat_a_ell2_a_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_263,type,
sK106: ( 'B_ell2_b_ell2_cblinfun_nat_fun$' * 'Nat_b_ell2_b_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_264,type,
sK107: ( 'B_ell2_b_ell2_cblinfun_set$' * '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_265,type,
sK108: ( '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$' ).
tff(func_def_266,type,
sK109: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_267,type,
sK110: 'B_ell2_b_ell2_cblinfun_set$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_268,type,
sK111: 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_269,type,
sK112: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_270,type,
sK113: ( '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$' ).
tff(func_def_271,type,
sK114: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_272,type,
sK115: 'A_ell2_a_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_273,type,
sK116: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_274,type,
sK117: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_275,type,
sK118: 'B_ell2_b_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_276,type,
sK119: ( 'C_ell2_c_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_277,type,
sK120: ( 'C_ell2_c_ell2_cblinfun_set$' * '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_278,type,
sK121: ( 'Unit$' * 'Nat_unit_fun$' ) > 'Nat$' ).
tff(func_def_279,type,
sK122: ( 'Unit$' * 'B_ell2_b_ell2_cblinfun_unit_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_280,type,
sK123: ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat$' ).
tff(func_def_281,type,
sK124: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_282,type,
sK125: ( 'Unit_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_unit_fun$' ) > 'Unit$' ).
tff(func_def_283,type,
sK126: 'Int_int_fun$' > $int ).
tff(func_def_284,type,
sK127: 'Int_int_fun$' > $int ).
tff(func_def_285,type,
sK128: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_286,type,
sK129: ( 'Nat$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_287,type,
sK130: ( 'Nat$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_288,type,
sK131: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_289,type,
sK132: 'Unit_unit_fun$' > 'Unit$' ).
tff(func_def_290,type,
sK133: ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_291,type,
sK134: ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_292,type,
sK135: ( 'Nat$' * 'Unit_nat_fun$' ) > 'Unit$' ).
tff(func_def_293,type,
sK136: ( 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_294,type,
sK137: ( 'A_ell2_a_ell2_cblinfun_bool_fun$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'Nat$' ).
tff(func_def_295,type,
sK138: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_296,type,
sK139: 'A_ell2_a_ell2_cblinfun_set$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_297,type,
sK140: 'Nat_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_298,type,
sK141: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_299,type,
sK142: ( 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_300,type,
sK143: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_301,type,
sK144: ( 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_302,type,
sK145: ( 'A_ell2_a_ell2_cblinfun_set$' * '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$' ).
tff(func_def_303,type,
sK146: ( 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ).
tff(func_def_304,type,
sK147: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'Nat_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_305,type,
sK148: 'Int_int_fun$' > $int ).
tff(func_def_306,type,
sK149: 'Int_int_fun$' > $int ).
tff(func_def_307,type,
sK150: ( 'Nat_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'Nat_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_308,type,
sK151: ( 'Nat_bool_fun$' * 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_309,type,
sK152: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_310,type,
sK153: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_311,type,
sK154: ( 'A_ell2_a_ell2_cblinfun_set$' * '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$' ).
tff(func_def_312,type,
sK155: ( 'A_ell2_a_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_313,type,
sK156: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'Nat_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_314,type,
sK157: ( 'Nat_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_315,type,
sK158: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat_a_ell2_a_ell2_cblinfun_fun$' ) > 'Nat$' ).
tff(func_def_316,type,
sK159: 'A_ell2_a_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_317,type,
sK160: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_318,type,
sK161: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_319,type,
sK162: ( 'Unit_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_unit_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_320,type,
sK163: ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_321,type,
sK164: 'Unit_unit_fun$' > 'Unit$' ).
tff(func_def_322,type,
sK165: 'A_ell2_a_ell2_cblinfun_nat_fun$' > 'Nat$' ).
tff(func_def_323,type,
sK166: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_324,type,
sK167: ( 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_325,type,
sK168: ( 'C_ell2_c_ell2_cblinfun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_326,type,
sK169: 'Nat_unit_fun$' > 'Unit$' ).
tff(func_def_327,type,
sK170: 'Nat_b_ell2_b_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_328,type,
sK171: 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_329,type,
sK172: ( 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun_set$' ).
tff(func_def_330,type,
sK173: ( 'C_ell2_c_ell2_cblinfun_set_bool_fun$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun_set$' ).
tff(func_def_331,type,
sK174: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun_set$' ).
tff(func_def_332,type,
sK175: 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_333,type,
sK176: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_334,type,
sK177: ( 'Nat_b_ell2_b_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun$' ) > 'Nat$' ).
tff(func_def_335,type,
sK178: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_336,type,
sK179: ( '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_337,type,
sK180: ( 'C_ell2_c_ell2_cblinfun_bool_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_338,type,
sK181: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_339,type,
sK182: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_340,type,
sK183: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_341,type,
sK184: 'Int_int_fun$' > $int ).
tff(func_def_342,type,
sK185: 'Int_int_fun$' > $int ).
tff(func_def_343,type,
sK186: ( 'Nat_nat_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_344,type,
sK187: ( 'Nat$' * 'A_ell2_a_ell2_cblinfun_nat_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_345,type,
sK188: 'Unit_nat_fun$' > 'Nat$' ).
tff(func_def_346,type,
sK189: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_bool_fun$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_347,type,
sK190: 'A_ell2_a_ell2_cblinfun_unit_fun$' > 'Unit$' ).
tff(func_def_348,type,
sK191: ( 'C_ell2_c_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_349,type,
sK192: ( 'C_ell2_c_ell2_cblinfun_set$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun$' ).
tff(func_def_350,type,
sK193: ( 'Unit_nat_fun$' * 'Unit_bool_fun$' ) > 'Nat$' ).
tff(func_def_351,type,
sK194: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_352,type,
sK195: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_353,type,
sK196: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_354,type,
sK197: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_355,type,
sK198: ( 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_set$' ) > 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' ).
tff(func_def_356,type,
sK199: ( '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$' ).
tff(func_def_357,type,
sK200: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_358,type,
sK201: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_359,type,
sK202: ( 'A_ell2_a_ell2_cblinfun_unit_fun$' * 'Unit$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_360,type,
sK203: ( 'Nat_unit_fun$' * 'Unit_nat_fun$' ) > 'Nat$' ).
tff(func_def_361,type,
sK204: ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_362,type,
sK205: ( 'Nat_nat_fun$' * 'Nat$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_363,type,
sK206: ( 'C_ell2_c_ell2_cblinfun_nat_fun$' * 'Nat_bool_fun$' * 'C_ell2_c_ell2_cblinfun_set$' ) > 'Nat$' ).
tff(func_def_364,type,
sK207: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_365,type,
sK208: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_366,type,
sK209: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_367,type,
sK210: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_368,type,
sK211: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_369,type,
sK212: 'Nat_a_ell2_a_ell2_cblinfun_fun$' > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_370,type,
sK213: ( 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' * 'B_ell2_b_ell2_cblinfun_set$' * 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_371,type,
sK214: ( 'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_372,type,
sK215: ( '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$' ).
tff(func_def_373,type,
sK216: ( 'C_ell2_c_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_set$' * 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
tff(func_def_374,type,
sK217: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_375,type,
sK218: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$' > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_376,type,
sK219: ( 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).
tff(func_def_377,type,
sK220: 'Nat_unit_fun$' > 'Unit$' ).
tff(func_def_378,type,
sK221: ( 'Nat_unit_fun$' * 'Unit$' ) > 'Nat$' ).
tff(func_def_379,type,
sK222: ( 'Nat$' * 'B_ell2_b_ell2_cblinfun_nat_fun$' ) > 'B_ell2_b_ell2_cblinfun$' ).
tff(func_def_380,type,
sK223: 'Nat$' > 'Nat$' ).
tff(func_def_381,type,
sK224: 'Int_int_fun$' > $int ).
tff(func_def_382,type,
sK225: 'Int_int_fun$' > $int ).
tff(func_def_383,type,
sK226: ( 'A_ell2_a_ell2_cblinfun_nat_fun$' * 'Nat_a_ell2_a_ell2_cblinfun_fun$' ) > 'A_ell2_a_ell2_cblinfun$' ).
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(f3274,plain,
$false,
inference(avatar_smt_refutation,[],[f2791,f2804,f2813,f2818,f2823,f2828,f2833,f2838,f2843,f2847,f2848,f2849,f2854,f2859,f2860,f2861,f2867,f2872,f2877,f2882,f2887,f2892,f2897,f2902,f2907,f2911,f2912,f2917,f2922,f2923,f2924,f2929,f2932,f2933,f2934,f2939,f2940,f2944,f2945,f2947,f2952,f2958,f2959,f2960,f2965,f2966,f2971,f2976,f2977,f2978,f2979,f2980,f2985,f2986,f2995,f3001,f3073,f3080,f3081,f3091,f3168,f3193,f3253,f3257,f3261,f3265,f3271,f3273]) ).
tff(f3273,plain,
( spl227_48
| ~ spl227_15 ),
inference(avatar_split_clause,[],[f3250,f2851,f3269]) ).
tff(f3269,plain,
( spl227_48
<=> ! [X13: 'A_ell2_a_ell2_cblinfun$',X14: 'B_ell2_b_ell2_cblinfun_set$'] :
( 'fun_app$a'('member$'('fun_app$e'('f$',X13)),'image$'('g$',X14))
| ~ 'member$b'('fun_app$h'('j$',X13),X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_48])]) ).
tff(f2851,plain,
( spl227_15
<=> ( 'image$'('g$','top$') = 'image$a'('f$','top$b') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_15])]) ).
tff(f3250,plain,
( ! [X19: 'A_ell2_a_ell2_cblinfun$',X20: 'B_ell2_b_ell2_cblinfun_set$'] :
( ~ 'member$b'('fun_app$h'('j$',X19),X20)
| 'fun_app$a'('member$'('fun_app$e'('f$',X19)),'image$'('g$',X20)) )
| ~ spl227_15 ),
inference(superposition,[],[f2758,f3160]) ).
tff(f3160,plain,
( ! [X1: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$c'('g$','fun_app$h'('j$',X1)) = 'fun_app$e'('f$',X1) )
| ~ spl227_15 ),
inference(forward_demodulation,[],[f3156,f2124]) ).
tff(f2124,plain,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$h'('j$',X0) = 'fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X0)) ),
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
! [X0: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$h'('j$',X0) = 'fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom3) ).
tff(f3156,plain,
( ! [X1: 'A_ell2_a_ell2_cblinfun$'] : ( 'fun_app$e'('f$',X1) = 'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$',X1))) )
| ~ spl227_15 ),
inference(resolution,[],[f3006,f2683]) ).
tff(f2683,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun$'] : 'fun_app$a'('member$'('fun_app$e'(X0,X1)),'image$a'(X0,'top$b')),
inference(equality_resolution,[],[f1841]) ).
tff(f1841,plain,
! [X2: 'C_ell2_c_ell2_cblinfun$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun$'] :
( 'fun_app$a'('member$'(X2),'image$a'(X0,'top$b'))
| ( 'fun_app$e'(X0,X1) != X2 ) ),
inference(cnf_transformation,[],[f1548]) ).
tff(f1548,plain,
! [X1: 'A_ell2_a_ell2_cblinfun$',X2: 'C_ell2_c_ell2_cblinfun$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( ( 'fun_app$e'(X0,X1) != X2 )
| 'fun_app$a'('member$'(X2),'image$a'(X0,'top$b')) ),
inference(ennf_transformation,[],[f862]) ).
tff(f862,plain,
! [X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun$',X2: 'C_ell2_c_ell2_cblinfun$'] :
( ( 'fun_app$e'(X0,X1) = X2 )
=> 'fun_app$a'('member$'(X2),'image$a'(X0,'top$b')) ),
inference(rectify,[],[f82]) ).
tff(f82,axiom,
! [X1: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2: 'A_ell2_a_ell2_cblinfun$',X0: 'C_ell2_c_ell2_cblinfun$'] :
( ( 'fun_app$e'(X1,X2) = X0 )
=> 'fun_app$a'('member$'(X0),'image$a'(X1,'top$b')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom80) ).
tff(f3006,plain,
( ! [X0: 'C_ell2_c_ell2_cblinfun$'] :
( ~ 'fun_app$a'('member$'(X0),'image$a'('f$','top$b'))
| ( 'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),X0)) = X0 ) )
| ~ spl227_15 ),
inference(superposition,[],[f1730,f2853]) ).
tff(f2853,plain,
( ( 'image$'('g$','top$') = 'image$a'('f$','top$b') )
| ~ spl227_15 ),
inference(avatar_component_clause,[],[f2851]) ).
tff(f1730,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_set$',X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun$'] :
( ~ 'fun_app$a'('member$'(X1),'image$'(X0,X2))
| ( 'fun_app$c'(X0,'fun_app$d'('inv_into$'(X2,X0),X1)) = X1 ) ),
inference(cnf_transformation,[],[f1235]) ).
tff(f1235,plain,
! [X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_set$'] :
( ~ 'fun_app$a'('member$'(X1),'image$'(X0,X2))
| ( 'fun_app$c'(X0,'fun_app$d'('inv_into$'(X2,X0),X1)) = X1 ) ),
inference(ennf_transformation,[],[f876]) ).
tff(f876,plain,
! [X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_set$'] :
( 'fun_app$a'('member$'(X1),'image$'(X0,X2))
=> ( 'fun_app$c'(X0,'fun_app$d'('inv_into$'(X2,X0),X1)) = X1 ) ),
inference(rectify,[],[f108]) ).
tff(f108,axiom,
! [X1: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0: 'C_ell2_c_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_set$'] :
( 'fun_app$a'('member$'(X0),'image$'(X1,X2))
=> ( 'fun_app$c'(X1,'fun_app$d'('inv_into$'(X2,X1),X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom106) ).
tff(f2758,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_set$',X0: 'B_ell2_b_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( 'fun_app$a'('member$'('fun_app$c'(X1,X0)),'image$'(X1,X2))
| ~ 'member$b'(X0,X2) ),
inference(equality_resolution,[],[f2531]) ).
tff(f2531,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_set$',X3: 'C_ell2_c_ell2_cblinfun$',X0: 'B_ell2_b_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( ( 'fun_app$c'(X1,X0) != X3 )
| 'fun_app$a'('member$'(X3),'image$'(X1,X2))
| ~ 'member$b'(X0,X2) ),
inference(cnf_transformation,[],[f1505]) ).
tff(f1505,plain,
! [X0: 'B_ell2_b_ell2_cblinfun$',X3: 'C_ell2_c_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2: 'B_ell2_b_ell2_cblinfun_set$'] :
( ~ 'member$b'(X0,X2)
| 'fun_app$a'('member$'(X3),'image$'(X1,X2))
| ( 'fun_app$c'(X1,X0) != X3 ) ),
inference(flattening,[],[f1504]) ).
tff(f1504,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_set$',X1: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3: 'C_ell2_c_ell2_cblinfun$',X0: 'B_ell2_b_ell2_cblinfun$'] :
( 'fun_app$a'('member$'(X3),'image$'(X1,X2))
| ( 'fun_app$c'(X1,X0) != X3 )
| ~ 'member$b'(X0,X2) ),
inference(ennf_transformation,[],[f880]) ).
tff(f880,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_set$',X1: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X3: 'C_ell2_c_ell2_cblinfun$',X0: 'B_ell2_b_ell2_cblinfun$'] :
( ( ( 'fun_app$c'(X1,X0) = X3 )
& 'member$b'(X0,X2) )
=> 'fun_app$a'('member$'(X3),'image$'(X1,X2)) ),
inference(rectify,[],[f70]) ).
tff(f70,axiom,
! [X0: 'B_ell2_b_ell2_cblinfun$',X3: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'B_ell2_b_ell2_cblinfun_set$',X2: 'C_ell2_c_ell2_cblinfun$'] :
( ( ( 'fun_app$c'(X3,X0) = X2 )
& 'member$b'(X0,X1) )
=> 'fun_app$a'('member$'(X2),'image$'(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom68) ).
tff(f3271,plain,
( ~ spl227_30
| spl227_48
| ~ spl227_15 ),
inference(avatar_split_clause,[],[f3246,f2851,f3269,f2936]) ).
tff(f2936,plain,
( spl227_30
<=> 'inj_on$'('g$','top$') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_30])]) ).
tff(f3246,plain,
( ! [X14: 'B_ell2_b_ell2_cblinfun_set$',X13: 'A_ell2_a_ell2_cblinfun$'] :
( 'fun_app$a'('member$'('fun_app$e'('f$',X13)),'image$'('g$',X14))
| ~ 'inj_on$'('g$','top$')
| ~ 'member$b'('fun_app$h'('j$',X13),X14) )
| ~ spl227_15 ),
inference(superposition,[],[f2408,f3160]) ).
tff(f2408,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0: 'B_ell2_b_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun_set$'] :
( 'fun_app$a'('member$'('fun_app$c'(X2,X0)),'image$'(X2,X1))
| ~ 'inj_on$'(X2,'top$')
| ~ 'member$b'(X0,X1) ),
inference(cnf_transformation,[],[f1463]) ).
tff(f1463,plain,
! [X1: 'B_ell2_b_ell2_cblinfun_set$',X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0: 'B_ell2_b_ell2_cblinfun$'] :
( ~ 'inj_on$'(X2,'top$')
| ( 'fun_app$a'('member$'('fun_app$c'(X2,X0)),'image$'(X2,X1))
<=> 'member$b'(X0,X1) ) ),
inference(ennf_transformation,[],[f836]) ).
tff(f836,plain,
! [X1: 'B_ell2_b_ell2_cblinfun_set$',X0: 'B_ell2_b_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( 'inj_on$'(X2,'top$')
=> ( 'fun_app$a'('member$'('fun_app$c'(X2,X0)),'image$'(X2,X1))
<=> 'member$b'(X0,X1) ) ),
inference(rectify,[],[f219]) ).
tff(f219,axiom,
! [X1: 'B_ell2_b_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_set$',X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( 'inj_on$'(X0,'top$')
=> ( 'fun_app$a'('member$'('fun_app$c'(X0,X1)),'image$'(X0,X2))
<=> 'member$b'(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom217) ).
tff(f3265,plain,
( spl227_47
| ~ spl227_30
| ~ spl227_15 ),
inference(avatar_split_clause,[],[f3245,f2851,f2936,f3263]) ).
tff(f3263,plain,
( spl227_47
<=> ! [X11: 'A_ell2_a_ell2_cblinfun$',X12: 'B_ell2_b_ell2_cblinfun$'] :
( ( 'fun_app$h'('j$',X11) = X12 )
| ( 'fun_app$c'('g$',X12) != 'fun_app$e'('f$',X11) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_47])]) ).
tff(f3245,plain,
( ! [X11: 'A_ell2_a_ell2_cblinfun$',X12: 'B_ell2_b_ell2_cblinfun$'] :
( ~ 'inj_on$'('g$','top$')
| ( 'fun_app$h'('j$',X11) = X12 )
| ( 'fun_app$c'('g$',X12) != 'fun_app$e'('f$',X11) ) )
| ~ spl227_15 ),
inference(superposition,[],[f2385,f3160]) ).
tff(f2385,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0: 'B_ell2_b_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun$'] :
( ( 'fun_app$c'(X2,X0) != 'fun_app$c'(X2,X1) )
| ( X0 = X1 )
| ~ 'inj_on$'(X2,'top$') ),
inference(cnf_transformation,[],[f1220]) ).
tff(f1220,plain,
! [X0: 'B_ell2_b_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( ( ( 'fun_app$c'(X2,X0) = 'fun_app$c'(X2,X1) )
<=> ( X0 = X1 ) )
| ~ 'inj_on$'(X2,'top$') ),
inference(ennf_transformation,[],[f1047]) ).
tff(f1047,plain,
! [X1: 'B_ell2_b_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0: 'B_ell2_b_ell2_cblinfun$'] :
( 'inj_on$'(X2,'top$')
=> ( ( 'fun_app$c'(X2,X0) = 'fun_app$c'(X2,X1) )
<=> ( X0 = X1 ) ) ),
inference(rectify,[],[f297]) ).
tff(f297,axiom,
! [X1: 'B_ell2_b_ell2_cblinfun$',X2: 'B_ell2_b_ell2_cblinfun$',X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( 'inj_on$'(X0,'top$')
=> ( ( 'fun_app$c'(X0,X2) = 'fun_app$c'(X0,X1) )
<=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom295) ).
tff(f3261,plain,
( ~ spl227_30
| spl227_46
| ~ spl227_15 ),
inference(avatar_split_clause,[],[f3247,f2851,f3259,f2936]) ).
tff(f3259,plain,
( spl227_46
<=> ! [X16: 'B_ell2_b_ell2_cblinfun_set$',X15: 'A_ell2_a_ell2_cblinfun$'] :
( ~ 'fun_app$a'('member$'('fun_app$e'('f$',X15)),'image$'('g$',X16))
| 'member$b'('fun_app$h'('j$',X15),X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_46])]) ).
tff(f3247,plain,
( ! [X16: 'B_ell2_b_ell2_cblinfun_set$',X15: 'A_ell2_a_ell2_cblinfun$'] :
( ~ 'fun_app$a'('member$'('fun_app$e'('f$',X15)),'image$'('g$',X16))
| 'member$b'('fun_app$h'('j$',X15),X16)
| ~ 'inj_on$'('g$','top$') )
| ~ spl227_15 ),
inference(superposition,[],[f2409,f3160]) ).
tff(f2409,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X0: 'B_ell2_b_ell2_cblinfun$',X1: 'B_ell2_b_ell2_cblinfun_set$'] :
( ~ 'fun_app$a'('member$'('fun_app$c'(X2,X0)),'image$'(X2,X1))
| ~ 'inj_on$'(X2,'top$')
| 'member$b'(X0,X1) ),
inference(cnf_transformation,[],[f1463]) ).
tff(f3257,plain,
( ~ spl227_30
| spl227_45
| ~ spl227_15 ),
inference(avatar_split_clause,[],[f3244,f2851,f3255,f2936]) ).
tff(f3255,plain,
( spl227_45
<=> ! [X9: 'A_ell2_a_ell2_cblinfun$',X10: 'B_ell2_b_ell2_cblinfun$'] :
( ( 'fun_app$e'('f$',X9) != 'fun_app$c'('g$',X10) )
| ( 'fun_app$h'('j$',X9) = X10 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_45])]) ).
tff(f3244,plain,
( ! [X10: 'B_ell2_b_ell2_cblinfun$',X9: 'A_ell2_a_ell2_cblinfun$'] :
( ( 'fun_app$e'('f$',X9) != 'fun_app$c'('g$',X10) )
| ( 'fun_app$h'('j$',X9) = X10 )
| ~ 'inj_on$'('g$','top$') )
| ~ spl227_15 ),
inference(superposition,[],[f2385,f3160]) ).
tff(f3253,plain,
( ~ spl227_15
| spl227_43 ),
inference(avatar_contradiction_clause,[],[f3252]) ).
tff(f3252,plain,
( $false
| ~ spl227_15
| spl227_43 ),
inference(trivial_inequality_removal,[],[f3238]) ).
tff(f3238,plain,
( ( 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) != 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) )
| ~ spl227_15
| spl227_43 ),
inference(superposition,[],[f3167,f3160]) ).
tff(f3167,plain,
( ( 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) != 'fun_app$c'('g$','fun_app$h'('j$','fun_app$f'('cblinfun_compose$'('a$'),'b$'))) )
| spl227_43 ),
inference(avatar_component_clause,[],[f3165]) ).
tff(f3165,plain,
( spl227_43
<=> ( 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) = 'fun_app$c'('g$','fun_app$h'('j$','fun_app$f'('cblinfun_compose$'('a$'),'b$'))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_43])]) ).
tff(f3193,plain,
( spl227_44
| ~ spl227_30
| ~ spl227_15 ),
inference(avatar_split_clause,[],[f3188,f2851,f2936,f3191]) ).
tff(f3191,plain,
( spl227_44
<=> ! [X0: 'B_ell2_b_ell2_cblinfun$'] :
( ~ 'fun_app$a'('member$'('fun_app$c'('g$',X0)),'image$a'('f$','top$b'))
| ( sK79('g$','fun_app$c'('g$',X0)) = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_44])]) ).
tff(f3188,plain,
( ! [X0: 'B_ell2_b_ell2_cblinfun$'] :
( ~ 'inj_on$'('g$','top$')
| ~ 'fun_app$a'('member$'('fun_app$c'('g$',X0)),'image$a'('f$','top$b'))
| ( sK79('g$','fun_app$c'('g$',X0)) = X0 ) )
| ~ spl227_15 ),
inference(superposition,[],[f2702,f2853]) ).
tff(f2702,plain,
! [X3: 'B_ell2_b_ell2_cblinfun$',X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( ~ 'fun_app$a'('member$'('fun_app$c'(X0,X3)),'image$'(X0,'top$'))
| ~ 'inj_on$'(X0,'top$')
| ( sK79(X0,'fun_app$c'(X0,X3)) = X3 ) ),
inference(equality_resolution,[],[f2072]) ).
tff(f2072,plain,
! [X3: 'B_ell2_b_ell2_cblinfun$',X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun$'] :
( ~ 'inj_on$'(X0,'top$')
| ( sK79(X0,X1) = X3 )
| ( 'fun_app$c'(X0,X3) != X1 )
| ~ 'fun_app$a'('member$'(X1),'image$'(X0,'top$')) ),
inference(cnf_transformation,[],[f1586]) ).
tff(f1586,plain,
! [X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'C_ell2_c_ell2_cblinfun$'] :
( ( 'fun_app$a'('member$'(X1),'image$'(X0,'top$'))
<=> ? [X2: 'B_ell2_b_ell2_cblinfun$'] :
( ! [X3: 'B_ell2_b_ell2_cblinfun$'] :
( ( 'fun_app$c'(X0,X3) != X1 )
| ( X2 = X3 ) )
& ( 'fun_app$c'(X0,X2) = X1 ) ) )
| ~ 'inj_on$'(X0,'top$') ),
inference(ennf_transformation,[],[f207]) ).
tff(f207,axiom,
! [X1: 'C_ell2_c_ell2_cblinfun$',X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( 'inj_on$'(X0,'top$')
=> ( 'fun_app$a'('member$'(X1),'image$'(X0,'top$'))
<=> ? [X2: 'B_ell2_b_ell2_cblinfun$'] :
( ( 'fun_app$c'(X0,X2) = X1 )
& ! [X3: 'B_ell2_b_ell2_cblinfun$'] :
( ( 'fun_app$c'(X0,X3) = X1 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom205) ).
tff(f3168,plain,
( ~ spl227_43
| ~ spl227_15
| ~ spl227_24
| spl227_38 ),
inference(avatar_split_clause,[],[f3163,f2992,f2899,f2851,f3165]) ).
tff(f2899,plain,
( spl227_24
<=> 'register$a'('f$') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_24])]) ).
tff(f2992,plain,
( spl227_38
<=> ( '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(avatar_definition,[new_symbols(naming,[spl227_38])]) ).
tff(f3163,plain,
( ( 'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')) != 'fun_app$c'('g$','fun_app$h'('j$','fun_app$f'('cblinfun_compose$'('a$'),'b$'))) )
| ~ spl227_15
| ~ spl227_24
| spl227_38 ),
inference(forward_demodulation,[],[f3162,f3016]) ).
tff(f3016,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)) )
| ~ spl227_24 ),
inference(resolution,[],[f2647,f2901]) ).
tff(f2901,plain,
( 'register$a'('f$')
| ~ spl227_24 ),
inference(avatar_component_clause,[],[f2899]) ).
tff(f2647,plain,
! [X2: 'A_ell2_a_ell2_cblinfun$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'A_ell2_a_ell2_cblinfun$'] :
( ~ 'register$a'(X0)
| ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'(X0,X1)),'fun_app$e'(X0,X2)) = 'fun_app$e'(X0,'fun_app$f'('cblinfun_compose$'(X1),X2)) ) ),
inference(cnf_transformation,[],[f1565]) ).
tff(f1565,plain,
! [X1: 'A_ell2_a_ell2_cblinfun$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X2: 'A_ell2_a_ell2_cblinfun$'] :
( ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'(X0,X1)),'fun_app$e'(X0,X2)) = 'fun_app$e'(X0,'fun_app$f'('cblinfun_compose$'(X1),X2)) )
| ~ 'register$a'(X0) ),
inference(ennf_transformation,[],[f232]) ).
tff(f232,axiom,
! [X1: 'A_ell2_a_ell2_cblinfun$',X2: 'A_ell2_a_ell2_cblinfun$',X0: 'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( 'register$a'(X0)
=> ( 'fun_app$g'('cblinfun_compose$a'('fun_app$e'(X0,X1)),'fun_app$e'(X0,X2)) = 'fun_app$e'(X0,'fun_app$f'('cblinfun_compose$'(X1),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom230) ).
tff(f3162,plain,
( ( 'fun_app$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$e'('f$','b$')) )
| ~ spl227_15
| spl227_38 ),
inference(forward_demodulation,[],[f3161,f3160]) ).
tff(f3161,plain,
( ( 'fun_app$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$e'('f$','b$')) )
| ~ spl227_15
| spl227_38 ),
inference(backward_demodulation,[],[f2994,f3160]) ).
tff(f2994,plain,
( ( 'fun_app$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$'))) )
| spl227_38 ),
inference(avatar_component_clause,[],[f2992]) ).
tff(f3091,plain,
( spl227_42
| ~ spl227_39
| ~ spl227_40 ),
inference(avatar_split_clause,[],[f3086,f3070,f2998,f3088]) ).
tff(f3088,plain,
( spl227_42
<=> ( 'cdim$c'('top$j') = 'card$c'('top$d') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_42])]) ).
tff(f2998,plain,
( spl227_39
<=> ( 'of_nat$'('cdim$c'('top$j')) = 1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_39])]) ).
tff(f3070,plain,
( spl227_40
<=> ( 'card$c'('top$d') = 'nat$'(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_40])]) ).
tff(f3086,plain,
( ( 'cdim$c'('top$j') = 'card$c'('top$d') )
| ~ spl227_39
| ~ spl227_40 ),
inference(forward_demodulation,[],[f3084,f3072]) ).
tff(f3072,plain,
( ( 'card$c'('top$d') = 'nat$'(1) )
| ~ spl227_40 ),
inference(avatar_component_clause,[],[f3070]) ).
tff(f3084,plain,
( ( 'cdim$c'('top$j') = 'nat$'(1) )
| ~ spl227_39 ),
inference(superposition,[],[f1783,f3000]) ).
tff(f3000,plain,
( ( 'of_nat$'('cdim$c'('top$j')) = 1 )
| ~ spl227_39 ),
inference(avatar_component_clause,[],[f2998]) ).
tff(f1783,plain,
! [X0: 'Nat$'] : ( 'nat$'('of_nat$'(X0)) = X0 ),
inference(cnf_transformation,[],[f639]) ).
tff(f639,axiom,
! [X0: 'Nat$'] : ( 'nat$'('of_nat$'(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom637) ).
tff(f3081,plain,
( ~ spl227_30
| spl227_41
| ~ spl227_15 ),
inference(avatar_split_clause,[],[f3075,f2851,f3078,f2936]) ).
tff(f3078,plain,
( spl227_41
<=> ! [X0: 'B_ell2_b_ell2_cblinfun_set$'] :
( ( 'image$a'('f$','top$b') != 'image$'('g$',X0) )
| ( 'top$' = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_41])]) ).
tff(f3075,plain,
( ! [X0: 'B_ell2_b_ell2_cblinfun_set$'] :
( ( 'top$' = X0 )
| ( 'image$a'('f$','top$b') != 'image$'('g$',X0) )
| ~ 'inj_on$'('g$','top$') )
| ~ spl227_15 ),
inference(superposition,[],[f1785,f2853]) ).
tff(f1785,plain,
! [X2: 'B_ell2_b_ell2_cblinfun_set$',X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'B_ell2_b_ell2_cblinfun_set$'] :
( ( 'image$'(X0,X1) != 'image$'(X0,X2) )
| ~ 'inj_on$'(X0,'top$')
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f1482]) ).
tff(f1482,plain,
! [X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$',X1: 'B_ell2_b_ell2_cblinfun_set$',X2: 'B_ell2_b_ell2_cblinfun_set$'] :
( ( ( X1 = X2 )
<=> ( 'image$'(X0,X1) = 'image$'(X0,X2) ) )
| ~ 'inj_on$'(X0,'top$') ),
inference(ennf_transformation,[],[f215]) ).
tff(f215,axiom,
! [X1: 'B_ell2_b_ell2_cblinfun_set$',X2: 'B_ell2_b_ell2_cblinfun_set$',X0: 'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'] :
( 'inj_on$'(X0,'top$')
=> ( ( X1 = X2 )
<=> ( 'image$'(X0,X1) = 'image$'(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom213) ).
tff(f3080,plain,
( spl227_41
| ~ spl227_30
| ~ spl227_15 ),
inference(avatar_split_clause,[],[f3074,f2851,f2936,f3078]) ).
tff(f3074,plain,
( ! [X0: 'B_ell2_b_ell2_cblinfun_set$'] :
( ~ 'inj_on$'('g$','top$')
| ( 'image$a'('f$','top$b') != 'image$'('g$',X0) )
| ( 'top$' = X0 ) )
| ~ spl227_15 ),
inference(superposition,[],[f1785,f2853]) ).
tff(f3073,plain,
( spl227_40
| ~ spl227_11 ),
inference(avatar_split_clause,[],[f3067,f2830,f3070]) ).
tff(f2830,plain,
( spl227_11
<=> ( 'of_nat$'('card$c'('top$d')) = 1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_11])]) ).
tff(f3067,plain,
( ( 'card$c'('top$d') = 'nat$'(1) )
| ~ spl227_11 ),
inference(superposition,[],[f1783,f2832]) ).
tff(f2832,plain,
( ( 'of_nat$'('card$c'('top$d')) = 1 )
| ~ spl227_11 ),
inference(avatar_component_clause,[],[f2830]) ).
tff(f3001,plain,
( spl227_39
| ~ spl227_8
| ~ spl227_11 ),
inference(avatar_split_clause,[],[f2996,f2830,f2815,f2998]) ).
tff(f2815,plain,
( spl227_8
<=> ( 'of_nat$'('cdim$c'('top$j')) = 'of_nat$'('card$c'('top$d')) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_8])]) ).
tff(f2996,plain,
( ( 'of_nat$'('cdim$c'('top$j')) = 1 )
| ~ spl227_8
| ~ spl227_11 ),
inference(backward_demodulation,[],[f2817,f2832]) ).
tff(f2817,plain,
( ( 'of_nat$'('cdim$c'('top$j')) = 'of_nat$'('card$c'('top$d')) )
| ~ spl227_8 ),
inference(avatar_component_clause,[],[f2815]) ).
tff(f2995,plain,
( ~ spl227_38
| spl227_18 ),
inference(avatar_split_clause,[],[f2990,f2869,f2992]) ).
tff(f2869,plain,
( spl227_18
<=> ( '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$','b$')))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_18])]) ).
tff(f2990,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$','b$'))) )
| spl227_18 ),
inference(forward_demodulation,[],[f2989,f2124]) ).
tff(f2989,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$','b$'))) )
| spl227_18 ),
inference(forward_demodulation,[],[f2988,f2124]) ).
tff(f2988,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$','b$'))) )
| spl227_18 ),
inference(forward_demodulation,[],[f2871,f2124]) ).
tff(f2871,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$','b$')))) )
| spl227_18 ),
inference(avatar_component_clause,[],[f2869]) ).
tff(f2986,plain,
( spl227_5
| ~ spl227_4 ),
inference(avatar_split_clause,[],[f1867,f2797,f2801]) ).
tff(f2801,plain,
( spl227_5
<=> 'finite$f'('top$d') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_5])]) ).
tff(f2797,plain,
( spl227_4
<=> 'finite$e'('top$l') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_4])]) ).
tff(f1867,plain,
( ~ 'finite$e'('top$l')
| 'finite$f'('top$d') ),
inference(cnf_transformation,[],[f583]) ).
tff(f583,axiom,
( ( 'finite$d'('top$c')
& 'finite$f'('top$d') )
<=> 'finite$e'('top$l') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom581) ).
tff(f2985,plain,
spl227_37,
inference(avatar_split_clause,[],[f2501,f2982]) ).
tff(f2982,plain,
( spl227_37
<=> 'clinear$'('f$') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_37])]) ).
tff(f2501,plain,
'clinear$'('f$'),
inference(cnf_transformation,[],[f23]) ).
tff(f23,axiom,
'clinear$'('f$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom21) ).
tff(f2980,plain,
( ~ spl227_1
| spl227_3 ),
inference(avatar_split_clause,[],[f1983,f2793,f2784]) ).
tff(f2784,plain,
( spl227_1
<=> 'finite$n'('top$t') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_1])]) ).
tff(f2793,plain,
( spl227_3
<=> 'finite$d'('top$c') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_3])]) ).
tff(f1983,plain,
( 'finite$d'('top$c')
| ~ 'finite$n'('top$t') ),
inference(cnf_transformation,[],[f591]) ).
tff(f591,axiom,
( ( 'finite$d'('top$c')
& 'finite$'('top$b') )
<=> 'finite$n'('top$t') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom589) ).
tff(f2979,plain,
( ~ spl227_7
| ~ spl227_3
| spl227_16 ),
inference(avatar_split_clause,[],[f1869,f2856,f2793,f2810]) ).
tff(f2810,plain,
( spl227_7
<=> 'finite$b'('top$') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_7])]) ).
tff(f2856,plain,
( spl227_16
<=> 'finite$i'('top$o') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_16])]) ).
tff(f1869,plain,
( 'finite$i'('top$o')
| ~ 'finite$d'('top$c')
| ~ 'finite$b'('top$') ),
inference(cnf_transformation,[],[f586]) ).
tff(f586,axiom,
( ( 'finite$d'('top$c')
& 'finite$b'('top$') )
<=> 'finite$i'('top$o') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom584) ).
tff(f2978,plain,
( ~ spl227_5
| spl227_23 ),
inference(avatar_split_clause,[],[f2085,f2894,f2801]) ).
tff(f2894,plain,
( spl227_23
<=> 'finite$h'('top$n') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_23])]) ).
tff(f2085,plain,
( 'finite$h'('top$n')
| ~ 'finite$f'('top$d') ),
inference(cnf_transformation,[],[f585]) ).
tff(f585,axiom,
( ( 'finite$f'('top$d')
& 'finite$f'('top$d') )
<=> 'finite$h'('top$n') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom583) ).
tff(f2977,plain,
( ~ spl227_5
| ~ spl227_2
| spl227_21 ),
inference(avatar_split_clause,[],[f1834,f2884,f2788,f2801]) ).
tff(f2788,plain,
( spl227_2
<=> 'finite$'('top$b') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_2])]) ).
tff(f2884,plain,
( spl227_21
<=> 'finite$l'('top$r') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_21])]) ).
tff(f1834,plain,
( 'finite$l'('top$r')
| ~ 'finite$'('top$b')
| ~ 'finite$f'('top$d') ),
inference(cnf_transformation,[],[f589]) ).
tff(f589,axiom,
( 'finite$l'('top$r')
<=> ( 'finite$f'('top$d')
& 'finite$'('top$b') ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom587) ).
tff(f2976,plain,
spl227_36,
inference(avatar_split_clause,[],[f2557,f2973]) ).
tff(f2973,plain,
( spl227_36
<=> 'csubspace$a'('top$b') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_36])]) ).
tff(f2557,plain,
'csubspace$a'('top$b'),
inference(cnf_transformation,[],[f517]) ).
tff(f517,axiom,
'csubspace$a'('top$b'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom515) ).
tff(f2971,plain,
spl227_35,
inference(avatar_split_clause,[],[f1830,f2968]) ).
tff(f2968,plain,
( spl227_35
<=> 'clinear$a'('g$') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_35])]) ).
tff(f1830,plain,
'clinear$a'('g$'),
inference(cnf_transformation,[],[f24]) ).
tff(f24,axiom,
'clinear$a'('g$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom22) ).
tff(f2966,plain,
( ~ spl227_3
| ~ spl227_2
| spl227_1 ),
inference(avatar_split_clause,[],[f1981,f2784,f2788,f2793]) ).
tff(f1981,plain,
( 'finite$n'('top$t')
| ~ 'finite$'('top$b')
| ~ 'finite$d'('top$c') ),
inference(cnf_transformation,[],[f591]) ).
tff(f2965,plain,
spl227_34,
inference(avatar_split_clause,[],[f1858,f2962]) ).
tff(f2962,plain,
( spl227_34
<=> 'csubspace$b'('top$') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_34])]) ).
tff(f1858,plain,
'csubspace$b'('top$'),
inference(cnf_transformation,[],[f516]) ).
tff(f516,axiom,
'csubspace$b'('top$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom514) ).
tff(f2960,plain,
( spl227_7
| ~ spl227_6 ),
inference(avatar_split_clause,[],[f2558,f2806,f2810]) ).
tff(f2806,plain,
( spl227_6
<=> 'finite$j'('top$p') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_6])]) ).
tff(f2558,plain,
( ~ 'finite$j'('top$p')
| 'finite$b'('top$') ),
inference(cnf_transformation,[],[f587]) ).
tff(f587,axiom,
( 'finite$j'('top$p')
<=> ( 'finite$f'('top$d')
& 'finite$b'('top$') ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom585) ).
tff(f2959,plain,
~ spl227_3,
inference(avatar_split_clause,[],[f1826,f2793]) ).
tff(f1826,plain,
~ 'finite$d'('top$c'),
inference(cnf_transformation,[],[f600]) ).
tff(f600,axiom,
~ 'finite$d'('top$c'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom598) ).
tff(f2958,plain,
spl227_33,
inference(avatar_split_clause,[],[f2359,f2955]) ).
tff(f2955,plain,
( spl227_33
<=> ( 'top$b' = 'cspan$a'('top$b') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_33])]) ).
tff(f2359,plain,
'top$b' = 'cspan$a'('top$b'),
inference(cnf_transformation,[],[f511]) ).
tff(f511,axiom,
'top$b' = 'cspan$a'('top$b'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom509) ).
tff(f2952,plain,
spl227_32,
inference(avatar_split_clause,[],[f1963,f2949]) ).
tff(f2949,plain,
( spl227_32
<=> ( 'top$b' = 'collect$a'('top$f') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_32])]) ).
tff(f1963,plain,
'top$b' = 'collect$a'('top$f'),
inference(cnf_transformation,[],[f77]) ).
tff(f77,axiom,
'top$b' = 'collect$a'('top$f'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom75) ).
tff(f2947,plain,
( spl227_7
| ~ spl227_16 ),
inference(avatar_split_clause,[],[f1870,f2856,f2810]) ).
tff(f1870,plain,
( ~ 'finite$i'('top$o')
| 'finite$b'('top$') ),
inference(cnf_transformation,[],[f586]) ).
tff(f2945,plain,
( ~ spl227_12
| spl227_2 ),
inference(avatar_split_clause,[],[f2012,f2788,f2835]) ).
tff(f2835,plain,
( spl227_12
<=> 'finite$k'('top$q') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_12])]) ).
tff(f2012,plain,
( 'finite$'('top$b')
| ~ 'finite$k'('top$q') ),
inference(cnf_transformation,[],[f588]) ).
tff(f588,axiom,
( ( 'finite$d'('top$c')
& 'finite$'('top$b') )
<=> 'finite$k'('top$q') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom586) ).
tff(f2944,plain,
( ~ spl227_5
| spl227_31 ),
inference(avatar_split_clause,[],[f1929,f2942,f2801]) ).
tff(f2942,plain,
( spl227_31
<=> ! [X0: 'Unit_set$'] :
( 'finite$f'('uminus$d'(X0))
| ~ 'finite$f'(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_31])]) ).
tff(f1929,plain,
! [X0: 'Unit_set$'] :
( 'finite$f'('uminus$d'(X0))
| ~ 'finite$f'('top$d')
| ~ 'finite$f'(X0) ),
inference(cnf_transformation,[],[f1539]) ).
tff(f1539,plain,
! [X0: 'Unit_set$'] :
( ( 'finite$f'('uminus$d'(X0))
<=> 'finite$f'('top$d') )
| ~ 'finite$f'(X0) ),
inference(ennf_transformation,[],[f599]) ).
tff(f599,axiom,
! [X0: 'Unit_set$'] :
( 'finite$f'(X0)
=> ( 'finite$f'('uminus$d'(X0))
<=> 'finite$f'('top$d') ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom597) ).
tff(f2940,plain,
( ~ spl227_23
| spl227_5 ),
inference(avatar_split_clause,[],[f2086,f2801,f2894]) ).
tff(f2086,plain,
( 'finite$f'('top$d')
| ~ 'finite$h'('top$n') ),
inference(cnf_transformation,[],[f585]) ).
tff(f2939,plain,
spl227_30,
inference(avatar_split_clause,[],[f2419,f2936]) ).
tff(f2419,plain,
'inj_on$'('g$','top$'),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
'inj_on$'('g$','top$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom8) ).
tff(f2934,plain,
( ~ spl227_7
| ~ spl227_3
| spl227_28 ),
inference(avatar_split_clause,[],[f2457,f2919,f2793,f2810]) ).
tff(f2919,plain,
( spl227_28
<=> 'finite$m'('top$s') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_28])]) ).
tff(f2457,plain,
( 'finite$m'('top$s')
| ~ 'finite$d'('top$c')
| ~ 'finite$b'('top$') ),
inference(cnf_transformation,[],[f590]) ).
tff(f590,axiom,
( 'finite$m'('top$s')
<=> ( 'finite$d'('top$c')
& 'finite$b'('top$') ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom588) ).
tff(f2933,plain,
( spl227_3
| ~ spl227_28 ),
inference(avatar_split_clause,[],[f2456,f2919,f2793]) ).
tff(f2456,plain,
( ~ 'finite$m'('top$s')
| 'finite$d'('top$c') ),
inference(cnf_transformation,[],[f590]) ).
tff(f2932,plain,
( spl227_3
| ~ spl227_12 ),
inference(avatar_split_clause,[],[f2013,f2835,f2793]) ).
tff(f2013,plain,
( ~ 'finite$k'('top$q')
| 'finite$d'('top$c') ),
inference(cnf_transformation,[],[f588]) ).
tff(f2929,plain,
spl227_29,
inference(avatar_split_clause,[],[f2031,f2926]) ).
tff(f2926,plain,
( spl227_29
<=> 'inj_on$a'('f$','top$b') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_29])]) ).
tff(f2031,plain,
'inj_on$a'('f$','top$b'),
inference(cnf_transformation,[],[f238]) ).
tff(f238,axiom,
'inj_on$a'('f$','top$b'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom236) ).
tff(f2924,plain,
( spl227_5
| ~ spl227_6 ),
inference(avatar_split_clause,[],[f2559,f2806,f2801]) ).
tff(f2559,plain,
( ~ 'finite$j'('top$p')
| 'finite$f'('top$d') ),
inference(cnf_transformation,[],[f587]) ).
tff(f2923,plain,
( spl227_2
| ~ spl227_21 ),
inference(avatar_split_clause,[],[f1832,f2884,f2788]) ).
tff(f1832,plain,
( ~ 'finite$l'('top$r')
| 'finite$'('top$b') ),
inference(cnf_transformation,[],[f589]) ).
tff(f2922,plain,
( ~ spl227_28
| spl227_7 ),
inference(avatar_split_clause,[],[f2455,f2810,f2919]) ).
tff(f2455,plain,
( 'finite$b'('top$')
| ~ 'finite$m'('top$s') ),
inference(cnf_transformation,[],[f590]) ).
tff(f2917,plain,
spl227_27,
inference(avatar_split_clause,[],[f2507,f2914]) ).
tff(f2914,plain,
( spl227_27
<=> ( 'top$d' = 'collect$c'('top$h') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_27])]) ).
tff(f2507,plain,
'top$d' = 'collect$c'('top$h'),
inference(cnf_transformation,[],[f79]) ).
tff(f79,axiom,
'top$d' = 'collect$c'('top$h'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom77) ).
tff(f2912,plain,
( spl227_13
| ~ spl227_5
| ~ spl227_3 ),
inference(avatar_split_clause,[],[f2541,f2793,f2801,f2840]) ).
tff(f2840,plain,
( spl227_13
<=> 'finite$g'('top$m') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_13])]) ).
tff(f2541,plain,
( ~ 'finite$d'('top$c')
| ~ 'finite$f'('top$d')
| 'finite$g'('top$m') ),
inference(cnf_transformation,[],[f584]) ).
tff(f584,axiom,
( ( 'finite$f'('top$d')
& 'finite$d'('top$c') )
<=> 'finite$g'('top$m') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom582) ).
tff(f2911,plain,
( ~ spl227_3
| spl227_26 ),
inference(avatar_split_clause,[],[f2006,f2909,f2793]) ).
tff(f2909,plain,
( spl227_26
<=> ! [X0: 'Nat_set$'] :
( ~ 'finite$d'(X0)
| 'finite$d'('uminus$c'(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_26])]) ).
tff(f2006,plain,
! [X0: 'Nat_set$'] :
( ~ 'finite$d'(X0)
| ~ 'finite$d'('top$c')
| 'finite$d'('uminus$c'(X0)) ),
inference(cnf_transformation,[],[f1626]) ).
tff(f1626,plain,
! [X0: 'Nat_set$'] :
( ( 'finite$d'('top$c')
<=> 'finite$d'('uminus$c'(X0)) )
| ~ 'finite$d'(X0) ),
inference(ennf_transformation,[],[f598]) ).
tff(f598,axiom,
! [X0: 'Nat_set$'] :
( 'finite$d'(X0)
=> ( 'finite$d'('top$c')
<=> 'finite$d'('uminus$c'(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom596) ).
tff(f2907,plain,
spl227_25,
inference(avatar_split_clause,[],[f2530,f2904]) ).
tff(f2904,plain,
( spl227_25
<=> ( 'top$c' = 'collect$b'('top$g') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_25])]) ).
tff(f2530,plain,
'top$c' = 'collect$b'('top$g'),
inference(cnf_transformation,[],[f78]) ).
tff(f78,axiom,
'top$c' = 'collect$b'('top$g'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom76) ).
tff(f2902,plain,
spl227_24,
inference(avatar_split_clause,[],[f2608,f2899]) ).
tff(f2608,plain,
'register$a'('f$'),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
'register$a'('f$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom5) ).
tff(f2897,plain,
( spl227_5
| ~ spl227_23 ),
inference(avatar_split_clause,[],[f2087,f2894,f2801]) ).
tff(f2087,plain,
( ~ 'finite$h'('top$n')
| 'finite$f'('top$d') ),
inference(cnf_transformation,[],[f585]) ).
tff(f2892,plain,
spl227_22,
inference(avatar_split_clause,[],[f2098,f2889]) ).
tff(f2889,plain,
( spl227_22
<=> ( 'top$' = 'collect$'('top$e') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_22])]) ).
tff(f2098,plain,
'top$' = 'collect$'('top$e'),
inference(cnf_transformation,[],[f76]) ).
tff(f76,axiom,
'top$' = 'collect$'('top$e'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom74) ).
tff(f2887,plain,
( ~ spl227_21
| spl227_5 ),
inference(avatar_split_clause,[],[f1833,f2801,f2884]) ).
tff(f1833,plain,
( 'finite$f'('top$d')
| ~ 'finite$l'('top$r') ),
inference(cnf_transformation,[],[f589]) ).
tff(f2882,plain,
spl227_20,
inference(avatar_split_clause,[],[f2172,f2879]) ).
tff(f2879,plain,
( spl227_20
<=> ( 'top$' = 'cspan$b'('top$') ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_20])]) ).
tff(f2172,plain,
'top$' = 'cspan$b'('top$'),
inference(cnf_transformation,[],[f510]) ).
tff(f510,axiom,
'top$' = 'cspan$b'('top$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom508) ).
tff(f2877,plain,
spl227_19,
inference(avatar_split_clause,[],[f2706,f2874]) ).
tff(f2874,plain,
( spl227_19
<=> 'less_eq$d'('top$d','top$d') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_19])]) ).
tff(f2706,plain,
'less_eq$d'('top$d','top$d'),
inference(equality_resolution,[],[f2079]) ).
tff(f2079,plain,
! [X0: 'Unit_set$'] :
( ( 'top$d' != X0 )
| 'less_eq$d'('top$d',X0) ),
inference(cnf_transformation,[],[f363]) ).
tff(f363,axiom,
! [X0: 'Unit_set$'] :
( 'less_eq$d'('top$d',X0)
<=> ( 'top$d' = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom361) ).
tff(f2872,plain,
~ spl227_18,
inference(avatar_split_clause,[],[f1804,f2869]) ).
tff(f1804,plain,
'fun_app$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$')))),
inference(cnf_transformation,[],[f774]) ).
tff(f774,plain,
'fun_app$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$')))),
inference(flattening,[],[f4]) ).
tff(f4,negated_conjecture,
( ( ~ 'fun_app$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$')))) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','fun_app$f'('cblinfun_compose$'('a$'),'b$')))) = 'fun_app$g'('cblinfun_compose$a'('fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','a$')))),'fun_app$c'('g$','fun_app$d'('inv_into$'('top$','g$'),'fun_app$e'('f$','b$')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture2) ).
tff(f2867,plain,
( spl227_3
| spl227_17 ),
inference(avatar_split_clause,[],[f2005,f2865,f2793]) ).
tff(f2865,plain,
( spl227_17
<=> ! [X0: 'Nat_set$'] :
( ~ 'finite$d'(X0)
| ~ 'finite$d'('uminus$c'(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_17])]) ).
tff(f2005,plain,
! [X0: 'Nat_set$'] :
( ~ 'finite$d'(X0)
| ~ 'finite$d'('uminus$c'(X0))
| 'finite$d'('top$c') ),
inference(cnf_transformation,[],[f1626]) ).
tff(f2861,plain,
( spl227_5
| ~ spl227_13 ),
inference(avatar_split_clause,[],[f2543,f2840,f2801]) ).
tff(f2543,plain,
( ~ 'finite$g'('top$m')
| 'finite$f'('top$d') ),
inference(cnf_transformation,[],[f584]) ).
tff(f2860,plain,
( ~ spl227_4
| spl227_3 ),
inference(avatar_split_clause,[],[f1868,f2793,f2797]) ).
tff(f1868,plain,
( 'finite$d'('top$c')
| ~ 'finite$e'('top$l') ),
inference(cnf_transformation,[],[f583]) ).
tff(f2859,plain,
( ~ spl227_16
| spl227_3 ),
inference(avatar_split_clause,[],[f1871,f2793,f2856]) ).
tff(f1871,plain,
( 'finite$d'('top$c')
| ~ 'finite$i'('top$o') ),
inference(cnf_transformation,[],[f586]) ).
tff(f2854,plain,
spl227_15,
inference(avatar_split_clause,[],[f2591,f2851]) ).
tff(f2591,plain,
'image$'('g$','top$') = 'image$a'('f$','top$b'),
inference(cnf_transformation,[],[f43]) ).
tff(f43,axiom,
'image$'('g$','top$') = 'image$a'('f$','top$b'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom41) ).
tff(f2849,plain,
( ~ spl227_3
| spl227_9 ),
inference(avatar_split_clause,[],[f1749,f2820,f2793]) ).
tff(f2820,plain,
( spl227_9
<=> 'finite$c'('top$k') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_9])]) ).
tff(f1749,plain,
( 'finite$c'('top$k')
| ~ 'finite$d'('top$c') ),
inference(cnf_transformation,[],[f582]) ).
tff(f582,axiom,
( ( 'finite$d'('top$c')
& 'finite$d'('top$c') )
<=> 'finite$c'('top$k') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom580) ).
tff(f2848,plain,
( spl227_3
| ~ spl227_9 ),
inference(avatar_split_clause,[],[f1751,f2820,f2793]) ).
tff(f1751,plain,
( ~ 'finite$c'('top$k')
| 'finite$d'('top$c') ),
inference(cnf_transformation,[],[f582]) ).
tff(f2847,plain,
( spl227_5
| spl227_14 ),
inference(avatar_split_clause,[],[f1930,f2845,f2801]) ).
tff(f2845,plain,
( spl227_14
<=> ! [X0: 'Unit_set$'] :
( ~ 'finite$f'('uminus$d'(X0))
| ~ 'finite$f'(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl227_14])]) ).
tff(f1930,plain,
! [X0: 'Unit_set$'] :
( ~ 'finite$f'('uminus$d'(X0))
| ~ 'finite$f'(X0)
| 'finite$f'('top$d') ),
inference(cnf_transformation,[],[f1539]) ).
tff(f2843,plain,
( ~ spl227_13
| spl227_3 ),
inference(avatar_split_clause,[],[f2542,f2793,f2840]) ).
tff(f2542,plain,
( 'finite$d'('top$c')
| ~ 'finite$g'('top$m') ),
inference(cnf_transformation,[],[f584]) ).
tff(f2838,plain,
( ~ spl227_2
| ~ spl227_3
| spl227_12 ),
inference(avatar_split_clause,[],[f2011,f2835,f2793,f2788]) ).
tff(f2011,plain,
( 'finite$k'('top$q')
| ~ 'finite$d'('top$c')
| ~ 'finite$'('top$b') ),
inference(cnf_transformation,[],[f588]) ).
tff(f2833,plain,
spl227_11,
inference(avatar_split_clause,[],[f2500,f2830]) ).
tff(f2500,plain,
'of_nat$'('card$c'('top$d')) = 1,
inference(cnf_transformation,[],[f625]) ).
tff(f625,axiom,
'of_nat$'('card$c'('top$d')) = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom623) ).
tff(f2828,plain,
spl227_10,
inference(avatar_split_clause,[],[f1925,f2825]) ).
tff(f2825,plain,
( spl227_10
<=> 'register$'('g$') ),
introduced(avatar_definition,[new_symbols(naming,[spl227_10])]) ).
tff(f1925,plain,
'register$'('g$'),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
'register$'('g$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom4) ).
tff(f2823,plain,
( ~ spl227_9
| spl227_3 ),
inference(avatar_split_clause,[],[f1750,f2793,f2820]) ).
tff(f1750,plain,
( 'finite$d'('top$c')
| ~ 'finite$c'('top$k') ),
inference(cnf_transformation,[],[f582]) ).
tff(f2818,plain,
spl227_8,
inference(avatar_split_clause,[],[f2459,f2815]) ).
tff(f2459,plain,
'of_nat$'('cdim$c'('top$j')) = 'of_nat$'('card$c'('top$d')),
inference(cnf_transformation,[],[f578]) ).
tff(f578,axiom,
'of_nat$'('cdim$c'('top$j')) = 'of_nat$'('card$c'('top$d')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom576) ).
tff(f2813,plain,
( spl227_6
| ~ spl227_7
| ~ spl227_5 ),
inference(avatar_split_clause,[],[f2560,f2801,f2810,f2806]) ).
tff(f2560,plain,
( ~ 'finite$f'('top$d')
| ~ 'finite$b'('top$')
| 'finite$j'('top$p') ),
inference(cnf_transformation,[],[f587]) ).
tff(f2804,plain,
( ~ spl227_3
| spl227_4
| ~ spl227_5 ),
inference(avatar_split_clause,[],[f1866,f2801,f2797,f2793]) ).
tff(f1866,plain,
( ~ 'finite$f'('top$d')
| 'finite$e'('top$l')
| ~ 'finite$d'('top$c') ),
inference(cnf_transformation,[],[f583]) ).
tff(f2791,plain,
( ~ spl227_1
| spl227_2 ),
inference(avatar_split_clause,[],[f1982,f2788,f2784]) ).
tff(f1982,plain,
( 'finite$'('top$b')
| ~ 'finite$n'('top$t') ),
inference(cnf_transformation,[],[f591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:23:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.07/0.62 % (23822)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.07/0.62 % (23806)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.07/0.63 % (23830)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.07/0.63 % (23820)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.07/0.63 % (23814)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.07/0.63 % (23828)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.07/0.63 % (23814)Instruction limit reached!
% 1.07/0.63 % (23814)------------------------------
% 1.07/0.63 % (23814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.07/0.63 % (23814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.07/0.63 % (23814)Termination reason: Unknown
% 1.07/0.63 % (23814)Termination phase: shuffling
% 1.07/0.63
% 1.07/0.63 % (23814)Memory used [KB]: 1663
% 1.07/0.63 % (23814)Time elapsed: 0.004 s
% 1.07/0.63 % (23814)Instructions burned: 2 (million)
% 1.07/0.63 % (23814)------------------------------
% 1.07/0.63 % (23814)------------------------------
% 1.07/0.63 % (23812)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.82/0.65 % (23829)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.82/0.65 % (23818)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.82/0.66 % (23813)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.82/0.66 % (23832)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.82/0.66 % (23821)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.82/0.66 % (23825)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.82/0.66 % (23827)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.82/0.66 % (23815)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.82/0.66 % (23833)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.82/0.66 % (23835)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.82/0.66 % (23808)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.82/0.66 % (23807)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.82/0.66 % (23809)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.82/0.66 % (23811)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.82/0.66 % (23823)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.82/0.66 % (23831)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.82/0.66 % (23834)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.82/0.66 % (23817)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.82/0.66 % (23826)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.82/0.66 % (23824)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.82/0.67 % (23810)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.82/0.67 % (23819)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.82/0.67 % (23816)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.82/0.67 % (23813)Instruction limit reached!
% 1.82/0.67 % (23813)------------------------------
% 1.82/0.67 % (23813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.67 % (23813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.67 % (23813)Termination reason: Unknown
% 1.82/0.67 % (23813)Termination phase: Property scanning
% 1.82/0.67
% 1.82/0.67 % (23813)Memory used [KB]: 1663
% 1.82/0.67 % (23813)Time elapsed: 0.005 s
% 1.82/0.67 % (23813)Instructions burned: 7 (million)
% 1.82/0.67 % (23813)------------------------------
% 1.82/0.67 % (23813)------------------------------
% 2.13/0.71 % (23812)Instruction limit reached!
% 2.13/0.71 % (23812)------------------------------
% 2.13/0.71 % (23812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.71 % (23812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.71 % (23812)Termination reason: Unknown
% 2.13/0.71 % (23812)Termination phase: Preprocessing 3
% 2.13/0.71
% 2.13/0.71 % (23812)Memory used [KB]: 3070
% 2.13/0.71 % (23812)Time elapsed: 0.025 s
% 2.13/0.71 % (23812)Instructions burned: 52 (million)
% 2.13/0.71 % (23812)------------------------------
% 2.13/0.71 % (23812)------------------------------
% 2.13/0.71 % (23808)Instruction limit reached!
% 2.13/0.71 % (23808)------------------------------
% 2.13/0.71 % (23808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.71 % (23808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.71 % (23808)Termination reason: Unknown
% 2.13/0.71 % (23808)Termination phase: Unused predicate definition removal
% 2.13/0.71
% 2.13/0.71 % (23808)Memory used [KB]: 2174
% 2.13/0.71 % (23808)Time elapsed: 0.019 s
% 2.13/0.71 % (23808)Instructions burned: 37 (million)
% 2.13/0.71 % (23808)------------------------------
% 2.13/0.71 % (23808)------------------------------
% 2.13/0.72 % (23810)Instruction limit reached!
% 2.13/0.72 % (23810)------------------------------
% 2.13/0.72 % (23810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.72 % (23811)Instruction limit reached!
% 2.13/0.72 % (23811)------------------------------
% 2.13/0.72 % (23811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.72 % (23811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.72 % (23811)Termination reason: Unknown
% 2.13/0.72 % (23811)Termination phase: Preprocessing 3
% 2.13/0.72
% 2.13/0.72 % (23811)Memory used [KB]: 3070
% 2.13/0.72 % (23811)Time elapsed: 0.023 s
% 2.13/0.72 % (23811)Instructions burned: 49 (million)
% 2.13/0.72 % (23811)------------------------------
% 2.13/0.72 % (23811)------------------------------
% 2.13/0.72 % (23820)Instruction limit reached!
% 2.13/0.72 % (23820)------------------------------
% 2.13/0.72 % (23820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.72 % (23820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.72 % (23820)Termination reason: Unknown
% 2.13/0.72 % (23820)Termination phase: Property scanning
% 2.13/0.72
% 2.13/0.72 % (23820)Memory used [KB]: 3709
% 2.13/0.72 % (23820)Time elapsed: 0.036 s
% 2.13/0.72 % (23820)Instructions burned: 68 (million)
% 2.13/0.72 % (23820)------------------------------
% 2.13/0.72 % (23820)------------------------------
% 2.13/0.72 % (23810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.72 % (23810)Termination reason: Unknown
% 2.13/0.72 % (23810)Termination phase: Preprocessing 3
% 2.13/0.72
% 2.13/0.72 % (23810)Memory used [KB]: 3070
% 2.13/0.72 % (23810)Time elapsed: 0.027 s
% 2.13/0.72 % (23810)Instructions burned: 52 (million)
% 2.13/0.72 % (23810)------------------------------
% 2.13/0.72 % (23810)------------------------------
% 2.13/0.73 % (23809)Instruction limit reached!
% 2.13/0.73 % (23809)------------------------------
% 2.13/0.73 % (23809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.73 % (23809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.73 % (23809)Termination reason: Unknown
% 2.13/0.73 % (23809)Termination phase: Property scanning
% 2.13/0.73
% 2.13/0.73 % (23809)Memory used [KB]: 3198
% 2.13/0.73 % (23809)Time elapsed: 0.026 s
% 2.13/0.73 % (23809)Instructions burned: 52 (million)
% 2.13/0.73 % (23809)------------------------------
% 2.13/0.73 % (23809)------------------------------
% 2.13/0.74 % (23815)Instruction limit reached!
% 2.13/0.74 % (23815)------------------------------
% 2.13/0.74 % (23815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.74 % (23839)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.52/0.74 % (23807)Instruction limit reached!
% 2.52/0.74 % (23807)------------------------------
% 2.52/0.74 % (23807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.74 % (23807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.74 % (23807)Termination reason: Unknown
% 2.52/0.74 % (23807)Termination phase: Property scanning
% 2.52/0.74
% 2.52/0.74 % (23807)Memory used [KB]: 3326
% 2.52/0.74 % (23807)Time elapsed: 0.025 s
% 2.52/0.74 % (23807)Instructions burned: 51 (million)
% 2.52/0.74 % (23807)------------------------------
% 2.52/0.74 % (23807)------------------------------
% 2.52/0.74 % (23816)Instruction limit reached!
% 2.52/0.74 % (23816)------------------------------
% 2.52/0.74 % (23816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.74 % (23816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.74 % (23816)Termination reason: Unknown
% 2.52/0.74 % (23816)Termination phase: Clausification
% 2.52/0.74
% 2.52/0.74 % (23816)Memory used [KB]: 3326
% 2.52/0.74 % (23816)Time elapsed: 0.023 s
% 2.52/0.74 % (23816)Instructions burned: 51 (million)
% 2.52/0.74 % (23816)------------------------------
% 2.52/0.74 % (23816)------------------------------
% 2.52/0.75 % (23823)Instruction limit reached!
% 2.52/0.75 % (23823)------------------------------
% 2.52/0.75 % (23823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.75 % (23823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.75 % (23823)Termination reason: Unknown
% 2.52/0.75 % (23823)Termination phase: Property scanning
% 2.52/0.75
% 2.52/0.75 % (23823)Memory used [KB]: 3326
% 2.52/0.75 % (23823)Time elapsed: 0.029 s
% 2.52/0.75 % (23823)Instructions burned: 60 (million)
% 2.52/0.75 % (23823)------------------------------
% 2.52/0.75 % (23823)------------------------------
% 2.52/0.75 % (23815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.75 % (23815)Termination reason: Unknown
% 2.52/0.75 % (23815)Termination phase: Property scanning
% 2.52/0.75
% 2.52/0.75 % (23815)Memory used [KB]: 3326
% 2.52/0.75 % (23815)Time elapsed: 0.024 s
% 2.52/0.75 % (23815)Instructions burned: 51 (million)
% 2.52/0.75 % (23815)------------------------------
% 2.52/0.75 % (23815)------------------------------
% 2.52/0.75 % (23832)Instruction limit reached!
% 2.52/0.75 % (23832)------------------------------
% 2.52/0.75 % (23832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.75 % (23832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.75 % (23832)Termination reason: Unknown
% 2.52/0.75 % (23832)Termination phase: Property scanning
% 2.52/0.75
% 2.52/0.75 % (23832)Memory used [KB]: 3709
% 2.52/0.75 % (23832)Time elapsed: 0.030 s
% 2.52/0.75 % (23832)Instructions burned: 68 (million)
% 2.52/0.75 % (23832)------------------------------
% 2.52/0.75 % (23832)------------------------------
% 2.57/0.76 % (23821)Instruction limit reached!
% 2.57/0.76 % (23821)------------------------------
% 2.57/0.76 % (23821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.76 % (23821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.76 % (23821)Termination reason: Unknown
% 2.57/0.76 % (23821)Termination phase: Saturation
% 2.57/0.76
% 2.57/0.76 % (23821)Memory used [KB]: 3326
% 2.57/0.76 % (23821)Time elapsed: 0.034 s
% 2.57/0.76 % (23821)Instructions burned: 77 (million)
% 2.57/0.76 % (23821)------------------------------
% 2.57/0.76 % (23821)------------------------------
% 2.57/0.76 % (23806)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.57/0.76 % (23806)Terminated due to inappropriate strategy.
% 2.57/0.76 % (23806)------------------------------
% 2.57/0.76 % (23806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.76 % (23806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.76 % (23806)Termination reason: Inappropriate
% 2.57/0.76
% 2.57/0.76 % (23806)Memory used [KB]: 3837
% 2.57/0.76 % (23806)Time elapsed: 0.047 s
% 2.57/0.76 % (23806)Instructions burned: 104 (million)
% 2.57/0.76 % (23806)------------------------------
% 2.57/0.76 % (23806)------------------------------
% 2.57/0.77 % (23822)Instruction limit reached!
% 2.57/0.77 % (23822)------------------------------
% 2.57/0.77 % (23822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.77 % (23822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.77 % (23822)Termination reason: Unknown
% 2.57/0.77 % (23822)Termination phase: Saturation
% 2.57/0.77
% 2.57/0.77 % (23822)Memory used [KB]: 8187
% 2.57/0.77 % (23822)Time elapsed: 0.258 s
% 2.57/0.77 % (23822)Instructions burned: 100 (million)
% 2.57/0.77 % (23822)------------------------------
% 2.57/0.77 % (23822)------------------------------
% 2.85/0.80 % (23819)Instruction limit reached!
% 2.85/0.80 % (23819)------------------------------
% 2.85/0.80 % (23819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.81 % (23840)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 2.85/0.81 % (23817)Instruction limit reached!
% 2.85/0.81 % (23817)------------------------------
% 2.85/0.81 % (23817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.82 % (23819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.82 % (23819)Termination reason: Unknown
% 2.85/0.82 % (23819)Termination phase: Saturation
% 2.85/0.82
% 2.85/0.82 % (23819)Memory used [KB]: 8187
% 2.85/0.82 % (23819)Time elapsed: 0.051 s
% 2.85/0.82 % (23819)Instructions burned: 99 (million)
% 2.85/0.82 % (23819)------------------------------
% 2.85/0.82 % (23819)------------------------------
% 2.85/0.82 % (23844)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.85/0.82 % (23824)Instruction limit reached!
% 2.85/0.82 % (23824)------------------------------
% 2.85/0.82 % (23824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.82 % (23824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.82 % (23824)Termination reason: Unknown
% 2.85/0.82 % (23824)Termination phase: Saturation
% 2.85/0.82
% 2.85/0.82 % (23824)Memory used [KB]: 8443
% 2.85/0.82 % (23824)Time elapsed: 0.054 s
% 2.85/0.82 % (23824)Instructions burned: 101 (million)
% 2.85/0.82 % (23824)------------------------------
% 2.85/0.82 % (23824)------------------------------
% 2.85/0.83 % (23825)Instruction limit reached!
% 2.85/0.83 % (23825)------------------------------
% 2.85/0.83 % (23825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.83 % (23825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.83 % (23825)Termination reason: Unknown
% 2.85/0.83 % (23825)Termination phase: Saturation
% 2.85/0.83 % (23818)Instruction limit reached!
% 2.85/0.83 % (23818)------------------------------
% 2.85/0.83 % (23818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.83
% 2.85/0.83 % (23818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.83 % (23825)Memory used [KB]: 3837
% 2.85/0.83 % (23818)Termination reason: Unknown
% 2.85/0.83 % (23825)Time elapsed: 0.047 s
% 2.85/0.83 % (23818)Termination phase: Saturation
% 2.85/0.83 % (23825)Instructions burned: 100 (million)
% 2.85/0.83
% 2.85/0.83 % (23825)------------------------------
% 2.85/0.83 % (23825)------------------------------
% 2.85/0.83 % (23818)Memory used [KB]: 8315
% 2.85/0.83 % (23818)Time elapsed: 0.049 s
% 2.85/0.83 % (23818)Instructions burned: 102 (million)
% 2.85/0.83 % (23818)------------------------------
% 2.85/0.83 % (23818)------------------------------
% 2.85/0.83 % (23817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.83 % (23817)Termination reason: Unknown
% 2.85/0.83 % (23817)Termination phase: Saturation
% 2.85/0.83
% 2.85/0.83 % (23817)Memory used [KB]: 8059
% 2.85/0.83 % (23817)Time elapsed: 0.332 s
% 2.85/0.83 % (23817)Instructions burned: 100 (million)
% 2.85/0.83 % (23817)------------------------------
% 2.85/0.83 % (23817)------------------------------
% 3.06/0.85 % (23866)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.06/0.85 % (23847)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.06/0.85 % (23852)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.06/0.86 % (23856)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.06/0.86 % (23854)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.06/0.86 % (23855)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.06/0.87 % (23871)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.06/0.88 % (23827)Instruction limit reached!
% 3.06/0.88 % (23827)------------------------------
% 3.06/0.88 % (23827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.88 % (23827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.88 % (23827)Termination reason: Unknown
% 3.06/0.88 % (23827)Termination phase: Saturation
% 3.06/0.88
% 3.06/0.88 % (23827)Memory used [KB]: 8827
% 3.06/0.88 % (23827)Time elapsed: 0.381 s
% 3.06/0.88 % (23827)Instructions burned: 138 (million)
% 3.06/0.88 % (23827)------------------------------
% 3.06/0.88 % (23827)------------------------------
% 3.06/0.88 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.06/0.88 % (23868)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.06/0.88 % (23869)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.06/0.89 % (23870)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.06/0.90 % (23844)Instruction limit reached!
% 3.06/0.90 % (23844)------------------------------
% 3.06/0.90 % (23844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.90 % (23879)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.06/0.90 % (23826)Instruction limit reached!
% 3.06/0.90 % (23826)------------------------------
% 3.06/0.90 % (23826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.90 % (23826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.90 % (23826)Termination reason: Unknown
% 3.06/0.90 % (23826)Termination phase: Saturation
% 3.06/0.90
% 3.06/0.90 % (23826)Memory used [KB]: 9338
% 3.06/0.90 % (23826)Time elapsed: 0.408 s
% 3.06/0.90 % (23826)Instructions burned: 176 (million)
% 3.06/0.90 % (23826)------------------------------
% 3.06/0.90 % (23826)------------------------------
% 3.06/0.90 % (23844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.90 % (23844)Termination reason: Unknown
% 3.06/0.90 % (23844)Termination phase: Saturation
% 3.06/0.90
% 3.06/0.90 % (23844)Memory used [KB]: 8187
% 3.06/0.90 % (23844)Time elapsed: 0.037 s
% 3.06/0.90 % (23844)Instructions burned: 90 (million)
% 3.06/0.90 % (23844)------------------------------
% 3.06/0.90 % (23844)------------------------------
% 3.06/0.92 % (23881)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.06/0.92 % (23876)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.06/0.92 % (23910)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.33/0.94 % (23907)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.33/0.95 % (23833)Instruction limit reached!
% 3.33/0.95 % (23833)------------------------------
% 3.33/0.95 % (23833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.33/0.95 % (23833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.33/0.95 % (23833)Termination reason: Unknown
% 3.33/0.95 % (23833)Termination phase: Saturation
% 3.33/0.95
% 3.33/0.95 % (23833)Memory used [KB]: 4989
% 3.33/0.95 % (23833)Time elapsed: 0.463 s
% 3.33/0.95 % (23833)Instructions burned: 178 (million)
% 3.33/0.95 % (23833)------------------------------
% 3.33/0.95 % (23833)------------------------------
% 3.33/0.95 % (23909)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.33/0.95 % (23904)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.33/0.96 % (23911)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.33/0.96 % (23856)Instruction limit reached!
% 3.33/0.96 % (23856)------------------------------
% 3.33/0.96 % (23856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.33/0.96 % (23856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.33/0.96 % (23856)Termination reason: Unknown
% 3.33/0.96 % (23856)Termination phase: Property scanning
% 3.33/0.96
% 3.33/0.96 % (23856)Memory used [KB]: 3709
% 3.33/0.96 % (23856)Time elapsed: 0.029 s
% 3.33/0.96 % (23856)Instructions burned: 69 (million)
% 3.33/0.96 % (23856)------------------------------
% 3.33/0.96 % (23856)------------------------------
% 3.47/1.01 % (23942)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.47/1.01 % (23960)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.47/1.02 % (23869)Instruction limit reached!
% 3.47/1.02 % (23869)------------------------------
% 3.47/1.02 % (23869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.47/1.02 % (23869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.47/1.02 % (23869)Termination reason: Unknown
% 3.47/1.02 % (23869)Termination phase: Saturation
% 3.47/1.02
% 3.47/1.02 % (23869)Memory used [KB]: 8187
% 3.47/1.02 % (23869)Time elapsed: 0.038 s
% 3.47/1.02 % (23869)Instructions burned: 92 (million)
% 3.47/1.02 % (23869)------------------------------
% 3.47/1.02 % (23869)------------------------------
% 3.47/1.03 % (23963)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.63/1.04 % (23907)Instruction limit reached!
% 3.63/1.04 % (23907)------------------------------
% 3.63/1.04 % (23907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/1.04 % (23907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/1.04 % (23907)Termination reason: Unknown
% 3.63/1.04 % (23907)Termination phase: Property scanning
% 3.63/1.04
% 3.63/1.04 % (23907)Memory used [KB]: 3582
% 3.63/1.04 % (23907)Time elapsed: 0.033 s
% 3.63/1.04 % (23907)Instructions burned: 70 (million)
% 3.63/1.04 % (23907)------------------------------
% 3.63/1.04 % (23907)------------------------------
% 5.05/1.08 % (23991)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 5.05/1.10 % (24001)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.05/1.11 % (23960)Instruction limit reached!
% 5.05/1.11 % (23960)------------------------------
% 5.05/1.11 % (23960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.50/1.11 % (23960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.50/1.11 % (23960)Termination reason: Unknown
% 5.50/1.11 % (23960)Termination phase: Saturation
% 5.50/1.11
% 5.50/1.11 % (23960)Memory used [KB]: 8187
% 5.50/1.11 % (23960)Time elapsed: 0.066 s
% 5.50/1.11 % (23960)Instructions burned: 90 (million)
% 5.50/1.11 % (23960)------------------------------
% 5.50/1.11 % (23960)------------------------------
% 5.50/1.13 % (23840)Instruction limit reached!
% 5.50/1.13 % (23840)------------------------------
% 5.50/1.13 % (23840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.50/1.13 % (23840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.50/1.13 % (23840)Termination reason: Unknown
% 5.50/1.13 % (23840)Termination phase: Saturation
% 5.50/1.13
% 5.50/1.13 % (23840)Memory used [KB]: 5373
% 5.50/1.13 % (23840)Time elapsed: 0.394 s
% 5.50/1.13 % (23840)Instructions burned: 212 (million)
% 5.50/1.13 % (23840)------------------------------
% 5.50/1.13 % (23840)------------------------------
% 5.50/1.15 % (24019)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.87/1.18 % (24020)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 5.87/1.24 % (24039)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.48/1.26 % (24047)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 6.48/1.27 % (23835)Instruction limit reached!
% 6.48/1.27 % (23835)------------------------------
% 6.48/1.27 % (23835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.48/1.28 % (23839)Instruction limit reached!
% 6.48/1.28 % (23839)------------------------------
% 6.48/1.28 % (23839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.75/1.29 % (23835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.75/1.29 % (23835)Termination reason: Unknown
% 6.75/1.29 % (23835)Termination phase: Saturation
% 6.75/1.29
% 6.75/1.29 % (23835)Memory used [KB]: 11641
% 6.75/1.29 % (23835)Time elapsed: 0.780 s
% 6.75/1.29 % (23835)Instructions burned: 355 (million)
% 6.75/1.29 % (23835)------------------------------
% 6.75/1.29 % (23835)------------------------------
% 6.75/1.30 % (23839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.75/1.30 % (23839)Termination reason: Unknown
% 6.75/1.30 % (23839)Termination phase: Saturation
% 6.75/1.30
% 6.75/1.30 % (23839)Memory used [KB]: 10490
% 6.75/1.30 % (23839)Time elapsed: 0.591 s
% 6.75/1.30 % (23839)Instructions burned: 388 (million)
% 6.75/1.30 % (23839)------------------------------
% 6.75/1.30 % (23839)------------------------------
% 7.23/1.36 % (23829)Instruction limit reached!
% 7.23/1.36 % (23829)------------------------------
% 7.23/1.36 % (23829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.23/1.36 % (23829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.23/1.36 % (23829)Termination reason: Unknown
% 7.23/1.36 % (23829)Termination phase: Saturation
% 7.23/1.36
% 7.23/1.36 % (23829)Memory used [KB]: 11129
% 7.23/1.36 % (23829)Time elapsed: 0.854 s
% 7.23/1.36 % (23829)Instructions burned: 468 (million)
% 7.23/1.36 % (23829)------------------------------
% 7.23/1.36 % (23829)------------------------------
% 7.23/1.37 % (23909)First to succeed.
% 7.23/1.38 % (23830)Instruction limit reached!
% 7.23/1.38 % (23830)------------------------------
% 7.23/1.38 % (23830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.23/1.38 % (23830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.23/1.38 % (23830)Termination reason: Unknown
% 7.23/1.38 % (23830)Termination phase: Saturation
% 7.23/1.38
% 7.23/1.38 % (23830)Memory used [KB]: 12920
% 7.23/1.38 % (23830)Time elapsed: 0.868 s
% 7.23/1.38 % (23830)Instructions burned: 483 (million)
% 7.23/1.38 % (23830)------------------------------
% 7.23/1.38 % (23830)------------------------------
% 7.23/1.40 % (23834)Instruction limit reached!
% 7.23/1.40 % (23834)------------------------------
% 7.23/1.40 % (23834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.23/1.40 % (23909)Refutation found. Thanks to Tanya!
% 7.23/1.40 % SZS status Theorem for theBenchmark
% 7.23/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 7.23/1.40 % (23909)------------------------------
% 7.23/1.40 % (23909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.23/1.40 % (23909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.23/1.40 % (23909)Termination reason: Refutation
% 7.23/1.40
% 7.23/1.40 % (23909)Memory used [KB]: 5373
% 7.23/1.40 % (23909)Time elapsed: 0.533 s
% 7.23/1.40 % (23909)Instructions burned: 282 (million)
% 7.23/1.40 % (23909)------------------------------
% 7.23/1.40 % (23909)------------------------------
% 7.23/1.40 % (23775)Success in time 1.053 s
%------------------------------------------------------------------------------