%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP374_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:39:28 AM UTC 2026
% Result : Theorem 31.02s 4.90s
% Output : Refutation 31.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 17 unt; 0 typ; 3 def)
% Number of atoms : 90 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 33 ~; 31 |; 7 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 42 ( 40 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 52 ( 50 usr; 4 prp; 0-5 aty)
% Number of functors : 400 ( 400 usr; 19 con; 0-6 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'A_set_list_bool_fun$': $tType ).
tff(type_def_6,type,
'Int_bool_fun$': $tType ).
tff(type_def_7,type,
'A_set_list_a_set_list_fun$': $tType ).
tff(type_def_8,type,
'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$': $tType ).
tff(type_def_9,type,
'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$': $tType ).
tff(type_def_10,type,
'A_ltln_set_int_fun$': $tType ).
tff(type_def_11,type,
'A_ltln_a_ltln_fun$': $tType ).
tff(type_def_12,type,
'Int_int_fun$': $tType ).
tff(type_def_13,type,
'A_set_list_a_set_list_list_fun$': $tType ).
tff(type_def_14,type,
'Nat_a_ltln_set_fun$': $tType ).
tff(type_def_15,type,
'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_16,type,
'A_set_list_list$': $tType ).
tff(type_def_17,type,
'Nat$': $tType ).
tff(type_def_18,type,
'Nat_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_19,type,
'A_ltln_a_ltln_bool_fun_fun_int_fun$': $tType ).
tff(type_def_20,type,
'Int_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_21,type,
'A_set_list_a_set_list_bool_fun_fun$': $tType ).
tff(type_def_22,type,
tlbool: $tType ).
tff(type_def_23,type,
'A_ltln_a_ltln_prod$': $tType ).
tff(type_def_24,type,
'A_set_a_ltln_fun$': $tType ).
tff(type_def_25,type,
'A_ltln_bool_fun$': $tType ).
tff(type_def_26,type,
'A_set$': $tType ).
tff(type_def_27,type,
'A_ltln_set$': $tType ).
tff(type_def_28,type,
'A_set_a_ltln_a_ltln_prod_fun$': $tType ).
tff(type_def_29,type,
'Int_a_ltln_set_fun$': $tType ).
tff(type_def_30,type,
'A_set_list$': $tType ).
tff(type_def_31,type,
'A_ltln$': $tType ).
tff(type_def_32,type,
'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$': $tType ).
tff(type_def_33,type,
'A_ltln_set_a_ltln_set_fun$': $tType ).
tff(type_def_34,type,
'Nat_a_set_fun$': $tType ).
tff(type_def_35,type,
'A_ltln_bool_fun_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_36,type,
'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$': $tType ).
tff(type_def_37,type,
'A_set_list_a_ltln_a_ltln_prod_fun$': $tType ).
tff(type_def_38,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_39,type,
'Int_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_40,type,
'A_ltln_a_set_a_ltln_fun_fun$': $tType ).
tff(type_def_41,type,
'Nat_int_fun$': $tType ).
tff(type_def_42,type,
'A_ltln_a_ltln_bool_fun_fun$': $tType ).
tff(type_def_43,type,
'A_set_list_a_ltln_fun$': $tType ).
tff(type_def_44,type,
'A_ltln_set_a_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun_fun$': $tType ).
tff(func_def_0,type,
'af_letter$': 'A_ltln_a_set_a_ltln_fun_fun$' ).
tff(func_def_1,type,
'fun_app$z': ( 'Nat_a_ltln_set_fun$' * 'Nat$' ) > 'A_ltln_set$' ).
tff(func_def_2,type,
'fun_app$s': ( 'A_set_list_a_ltln_fun$' * 'A_set_list$' ) > 'A_ltln$' ).
tff(func_def_3,type,
'fun_app$ad': ( 'Nat_a_set_fun$' * 'Nat$' ) > 'A_set$' ).
tff(func_def_4,type,
'fun_app$u': ( 'A_set_list_a_ltln_a_ltln_prod_fun$' * 'A_set_list$' ) > 'A_ltln_a_ltln_prod$' ).
tff(func_def_5,type,
'weakUntil_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$' ).
tff(func_def_6,type,
'fun_app$i': ( 'A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).
tff(func_def_7,type,
'fun_app$x': ( 'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$' * 'A_ltln_a_ltln_prod$' ) > 'A_set_a_ltln_a_ltln_prod_fun$' ).
tff(func_def_8,type,
'uu$': 'A_ltln_set$' > 'A_ltln_bool_fun$' ).
tff(func_def_9,type,
'false_ltln$': 'A_ltln$' ).
tff(func_def_10,type,
'fun_app$e': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_11,type,
'nil$': 'A_set_list$' ).
tff(func_def_12,type,
'fun_app$l': ( 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_13,type,
'append$': 'A_set_list$' > 'A_set_list_a_set_list_fun$' ).
tff(func_def_14,type,
'pair$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln_a_ltln_prod$' ).
tff(func_def_15,type,
'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).
tff(func_def_16,type,
'fun_app$v': ( 'A_ltln_set_a_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$' ).
tff(func_def_17,type,
'cons$a': ( 'A_set_list$' * 'A_set_list_list$' ) > 'A_set_list_list$' ).
tff(func_def_18,type,
'nil$a': 'A_set_list_list$' ).
tff(func_def_19,type,
'cons$': ( 'A_set$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_20,type,
'mu_LTL$': 'A_ltln_set$' ).
tff(func_def_21,type,
'fun_app$k': ( 'A_ltln_a_ltln_bool_fun_fun_int_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $int ).
tff(func_def_22,type,
'fun_app$t': ( 'A_set_list_a_set_list_fun$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_23,type,
'fun_app$b': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' ) > 'A_set_a_ltln_fun$' ).
tff(func_def_24,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_25,type,
'fun_app$h': ( 'Int_a_ltln_set_fun$' * $int ) > 'A_ltln_set$' ).
tff(func_def_26,type,
'fun_app$j': ( 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' * $int ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_27,type,
'gF_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_28,type,
'collect$': 'A_ltln_bool_fun$' > 'A_ltln_set$' ).
tff(func_def_29,type,
'subsequence$': ( 'Nat_a_set_fun$' * 'Nat$' * 'Nat$' ) > 'A_set_list$' ).
tff(func_def_30,type,
'fun_app$o': ( 'Int_a_ltln_bool_fun_fun$' * $int ) > 'A_ltln_bool_fun$' ).
tff(func_def_31,type,
'fun_app$ae': ( 'A_set_list_a_set_list_list_fun$' * 'A_set_list$' ) > 'A_set_list_list$' ).
tff(func_def_32,type,
tltrue: tlbool ).
tff(func_def_33,type,
'af_letter_F$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$' ).
tff(func_def_34,type,
'fun_app$a': ( 'A_set_a_ltln_fun$' * 'A_set$' ) > 'A_ltln$' ).
tff(func_def_35,type,
'fun_app$g': ( 'A_ltln_set_int_fun$' * 'A_ltln_set$' ) > $int ).
tff(func_def_36,type,
'ltl_prop_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_37,type,
'nu$': 'A_set$' ).
tff(func_def_38,type,
'ltl_const_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_39,type,
'fun_app$r': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_40,type,
'fun_app$m': ( 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln_set$' ).
tff(func_def_41,type,
'fun_app$c': ( 'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$' * 'A_ltln$' ) > 'A_ltln_a_set_a_ltln_fun_fun$' ).
tff(func_def_42,type,
'strongRelease_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$' ).
tff(func_def_43,type,
'foldl$a': ( 'A_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun$' * 'A_ltln_a_ltln_prod$' ) > 'A_set_list_a_ltln_a_ltln_prod_fun$' ).
tff(func_def_44,type,
'eq$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_45,type,
'af_letter_nu$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > 'A_ltln_set_a_ltln_a_ltln_prod_a_set_a_ltln_a_ltln_prod_fun_fun_fun$' ).
tff(func_def_46,type,
'until_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$' ).
tff(func_def_47,type,
'psi$': 'A_ltln$' ).
tff(func_def_48,type,
'foldl$': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' ) > 'A_set_list_a_ltln_fun$' ).
tff(func_def_49,type,
'nested_prop_atoms$': 'A_ltln$' > 'A_ltln_set$' ).
tff(func_def_50,type,
'ltl_lang_equiv$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_51,type,
'snd$': 'A_ltln_a_ltln_prod$' > 'A_ltln$' ).
tff(func_def_52,type,
'true_ltln$': 'A_ltln$' ).
tff(func_def_53,type,
'ltl_prop_implies$': 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_54,type,
'fun_app$n': ( 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_55,type,
'fst$': 'A_ltln_a_ltln_prod$' > 'A_ltln$' ).
tff(func_def_56,type,
'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_57,type,
'n_lists$': 'Nat$' > 'A_set_list_a_set_list_list_fun$' ).
tff(func_def_58,type,
tlfalse: tlbool ).
tff(func_def_59,type,
'nat$': $int > 'Nat$' ).
tff(func_def_60,type,
'fun_app$aa': ( 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$' * 'Nat$' ) > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_61,type,
'fun_app$d': ( 'A_ltln_a_ltln_fun$' * 'A_ltln$' ) > 'A_ltln$' ).
tff(func_def_62,type,
'nu_LTL$': 'A_ltln_set$' ).
tff(func_def_63,type,
'fun_app$ac': ( 'A_set_list_a_set_list_bool_fun_fun$' * 'A_set_list$' ) > 'A_set_list_bool_fun$' ).
tff(func_def_64,type,
'nested_prop_atoms_nu$': 'A_ltln$' > 'A_ltln_set_a_ltln_set_fun$' ).
tff(func_def_65,type,
'fun_app$f': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_66,type,
'normalise$': 'A_ltln_a_ltln_fun$' ).
tff(func_def_67,type,
'fun_app$y': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_68,type,
'af_letter_G$': 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln_a_ltln_a_set_a_ltln_fun_fun_fun$' ).
tff(func_def_69,type,
'fun_app$p': ( 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun$' ).
tff(func_def_70,type,
'release_ltln$': 'A_ltln$' > 'A_ltln_a_ltln_fun$' ).
tff(func_def_71,type,
'phi$': 'A_ltln$' ).
tff(func_def_72,type,
'take$': 'Nat$' > 'A_set_list_a_set_list_fun$' ).
tff(func_def_73,type,
'fun_app$w': ( 'A_set_a_ltln_a_ltln_prod_fun$' * 'A_set$' ) > 'A_ltln_a_ltln_prod$' ).
tff(func_def_78,type,
sK29: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_79,type,
sK30: 'Int_int_fun$' > $int ).
tff(func_def_80,type,
sK31: 'Int_int_fun$' > $int ).
tff(func_def_81,type,
sK32: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_82,type,
sK33: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_83,type,
sK34: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_84,type,
sK35: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_85,type,
sK36: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_86,type,
sK37: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_87,type,
sK38: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_88,type,
sK39: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_89,type,
sK40: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_90,type,
sK41: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_91,type,
sK42: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_92,type,
sK43: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_93,type,
sK44: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_94,type,
sK45: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_95,type,
sK46: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_96,type,
sK47: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_97,type,
sK48: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_98,type,
sK49: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_99,type,
sK50: 'Int_int_fun$' > $int ).
tff(func_def_100,type,
sK51: 'Int_int_fun$' > $int ).
tff(func_def_101,type,
sK52: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_102,type,
sK53: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_103,type,
sK54: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_104,type,
sK55: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_105,type,
sK56: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_106,type,
sK57: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_107,type,
sK58: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_108,type,
sK59: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_109,type,
sK60: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_110,type,
sK61: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_111,type,
sK62: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_112,type,
sK63: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_113,type,
sK64: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_114,type,
sK65: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_115,type,
sK66: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_116,type,
sK67: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_117,type,
sK68: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_118,type,
sK69: 'Int_a_ltln_bool_fun_fun$' > $int ).
tff(func_def_119,type,
sK70: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_120,type,
sK71: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).
tff(func_def_121,type,
sK72: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_122,type,
sK73: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_123,type,
sK74: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_124,type,
sK75: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_125,type,
sK76: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_126,type,
sK77: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_127,type,
sK78: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_128,type,
sK79: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_129,type,
sK80: 'Int_int_fun$' > $int ).
tff(func_def_130,type,
sK81: 'Int_int_fun$' > $int ).
tff(func_def_131,type,
sK82: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_132,type,
sK83: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_133,type,
sK84: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_134,type,
sK85: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_135,type,
sK86: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_136,type,
sK87: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_137,type,
sK88: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_138,type,
sK89: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_139,type,
sK90: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_140,type,
sK91: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_141,type,
sK92: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_142,type,
sK93: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_143,type,
sK94: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_144,type,
sK95: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_145,type,
sK96: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_146,type,
sK97: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_147,type,
sK98: 'Int_int_fun$' > $int ).
tff(func_def_148,type,
sK99: 'Int_int_fun$' > $int ).
tff(func_def_149,type,
sK100: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_150,type,
sK101: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_151,type,
sK102: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_152,type,
sK103: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_153,type,
sK104: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_154,type,
sK105: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_155,type,
sK106: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_156,type,
sK107: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_157,type,
sK108: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_158,type,
sK109: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_159,type,
sK110: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_160,type,
sK111: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_161,type,
sK112: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_162,type,
sK113: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_163,type,
sK114: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_164,type,
sK115: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).
tff(func_def_165,type,
sK116: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_166,type,
sK117: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).
tff(func_def_167,type,
sK118: 'A_ltln_a_ltln_fun$' > 'A_ltln$' ).
tff(func_def_168,type,
sK119: 'A_ltln_a_ltln_fun$' > 'A_ltln$' ).
tff(func_def_169,type,
sK120: ( 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_170,type,
sK121: ( 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_171,type,
sK122: ( 'A_ltln$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_172,type,
sK123: ( 'A_ltln$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_173,type,
sK124: ( 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_174,type,
sK125: ( 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_175,type,
sK126: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_176,type,
sK127: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_177,type,
sK128: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_178,type,
sK129: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_179,type,
sK130: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_180,type,
sK131: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_181,type,
sK132: ( 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_182,type,
sK133: ( 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_183,type,
sK134: ( 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_184,type,
sK135: ( 'A_ltln$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_185,type,
sK136: ( 'A_ltln$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_186,type,
sK137: ( 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_187,type,
sK138: ( 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_188,type,
sK139: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_189,type,
sK140: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_190,type,
sK141: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_191,type,
sK142: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_192,type,
sK143: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_193,type,
sK144: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_set_list$' * 'A_ltln$' * 'A_ltln$' ) > 'A_set_list$' ).
tff(func_def_194,type,
sK145: ( 'A_ltln_set$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).
tff(func_def_195,type,
sK146: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_196,type,
sK147: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_197,type,
sK148: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_set$' ).
tff(func_def_198,type,
sK149: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_199,type,
sK150: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).
tff(func_def_200,type,
sK151: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_set$' ).
tff(func_def_201,type,
sK152: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_202,type,
sK153: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_203,type,
sK154: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_204,type,
sK155: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_205,type,
sK156: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_206,type,
sK157: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_207,type,
sK158: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_208,type,
sK159: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_209,type,
sK160: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_210,type,
sK161: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_211,type,
sK162: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_212,type,
sK163: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_213,type,
sK164: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_214,type,
sK165: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_215,type,
sK166: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_216,type,
sK167: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_217,type,
sK168: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_218,type,
sK169: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_219,type,
sK170: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_220,type,
sK171: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_221,type,
sK172: ( 'A_ltln_set$' * 'A_ltln_a_ltln_prod$' * 'A_set_list$' ) > 'Nat$' ).
tff(func_def_222,type,
sK173: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_set$' ) > 'Nat$' ).
tff(func_def_223,type,
sK174: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_224,type,
sK175: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_225,type,
sK176: 'Int_int_fun$' > $int ).
tff(func_def_226,type,
sK177: 'Int_int_fun$' > $int ).
tff(func_def_227,type,
sK178: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_228,type,
sK179: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_229,type,
sK180: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_230,type,
sK181: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_231,type,
sK182: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_232,type,
sK183: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_233,type,
sK184: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_234,type,
sK185: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_235,type,
sK186: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_236,type,
sK187: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_237,type,
sK188: 'Int_int_fun$' > $int ).
tff(func_def_238,type,
sK189: 'Int_int_fun$' > $int ).
tff(func_def_239,type,
sK190: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_240,type,
sK191: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_241,type,
sK192: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_242,type,
sK193: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_243,type,
sK194: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_244,type,
sK195: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_245,type,
sK196: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_246,type,
sK197: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_247,type,
sK198: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_248,type,
sK199: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).
tff(func_def_249,type,
sK200: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_250,type,
sK201: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).
tff(func_def_251,type,
sK202: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_252,type,
sK203: 'A_ltln_set_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_set$' ).
tff(func_def_253,type,
sK204: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_254,type,
sK205: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_255,type,
sK206: 'Int_int_fun$' > $int ).
tff(func_def_256,type,
sK207: 'Int_int_fun$' > $int ).
tff(func_def_257,type,
sK208: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_258,type,
sK209: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_259,type,
sK210: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_260,type,
sK211: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_set_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_261,type,
sK212: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_262,type,
sK213: 'A_ltln_a_ltln_bool_fun_fun_int_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_263,type,
sK214: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_264,type,
sK215: 'A_ltln_a_ltln_bool_fun_fun_a_ltln_a_ltln_bool_fun_fun_fun$' > 'A_ltln_a_ltln_bool_fun_fun$' ).
tff(func_def_265,type,
sK216: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_266,type,
sK217: 'Int_a_ltln_set_fun$' > $int ).
tff(func_def_267,type,
sK218: 'Int_int_fun$' > $int ).
tff(func_def_268,type,
sK219: 'Int_int_fun$' > $int ).
tff(func_def_269,type,
sK220: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_270,type,
sK221: 'Int_a_ltln_a_ltln_bool_fun_fun_fun$' > $int ).
tff(func_def_271,type,
sK222: ( 'A_set_list$' * 'A_set_list$' ) > 'Nat$' ).
tff(func_def_272,type,
sK223: 'Int_int_fun$' > $int ).
tff(func_def_273,type,
sK224: 'Int_int_fun$' > $int ).
tff(func_def_274,type,
sK225: 'Int_int_fun$' > $int ).
tff(func_def_275,type,
sK226: 'Int_int_fun$' > $int ).
tff(func_def_276,type,
sK227: 'Int_int_fun$' > $int ).
tff(func_def_277,type,
sK228: 'Int_int_fun$' > $int ).
tff(func_def_278,type,
sK229: 'Int_int_fun$' > $int ).
tff(func_def_279,type,
sK230: 'Int_int_fun$' > $int ).
tff(func_def_280,type,
sK231: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_281,type,
sK232: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_282,type,
sK233: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_283,type,
sK234: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_284,type,
sK235: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_285,type,
sK236: $int > $int ).
tff(func_def_286,type,
sK237: $int > $int ).
tff(func_def_287,type,
sK238: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_288,type,
sK239: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_289,type,
sK240: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_290,type,
sK241: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_291,type,
sK242: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_set$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_292,type,
sK243: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_set$' ) > 'Nat$' ).
tff(func_def_293,type,
sK244: 'A_ltln_a_ltln_fun$' > 'Nat_a_set_fun$' ).
tff(func_def_294,type,
sK245: 'A_ltln_a_ltln_fun$' > 'A_ltln$' ).
tff(func_def_295,type,
sK246: 'A_ltln_a_ltln_fun$' > 'A_ltln_set$' ).
tff(func_def_296,type,
sK247: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_297,type,
sK248: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_298,type,
sK249: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln_set$' ).
tff(func_def_299,type,
sK250: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > 'A_ltln$' ).
tff(func_def_300,type,
sK251: 'A_ltln_a_ltln_fun$' > 'Nat_a_set_fun$' ).
tff(func_def_301,type,
sK252: 'A_ltln_a_ltln_fun$' > 'A_ltln$' ).
tff(func_def_302,type,
sK253: 'A_ltln_a_ltln_fun$' > 'A_ltln_set$' ).
tff(func_def_303,type,
sK254: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_304,type,
sK255: 'A_ltln_a_ltln_fun$' > 'Nat_a_set_fun$' ).
tff(func_def_305,type,
sK256: 'A_ltln_a_ltln_fun$' > 'A_ltln$' ).
tff(func_def_306,type,
sK257: 'A_ltln_a_ltln_fun$' > 'A_ltln_set$' ).
tff(func_def_307,type,
sK258: 'A_ltln_a_ltln_fun$' > 'Nat_a_set_fun$' ).
tff(func_def_308,type,
sK259: 'A_ltln_a_ltln_fun$' > 'A_ltln$' ).
tff(func_def_309,type,
sK260: 'A_ltln_a_ltln_fun$' > 'A_ltln_set$' ).
tff(func_def_310,type,
sK261: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_set$' ) > 'Nat$' ).
tff(func_def_311,type,
sK262: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_312,type,
sK263: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln$' ).
tff(func_def_313,type,
sK264: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > 'A_ltln_set$' ).
tff(func_def_314,type,
sK265: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' * 'A_ltln_set$' * 'A_ltln_a_ltln_prod$' * 'A_set_list$' ) > 'Nat$' ).
tff(func_def_315,type,
sK266: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_316,type,
sK267: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_317,type,
sK268: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_318,type,
sK269: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_319,type,
sK270: ( 'A_ltln_set$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_320,type,
sK271: ( 'A_ltln_set$' * 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_321,type,
sK272: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_set$' ) > 'Nat$' ).
tff(func_def_322,type,
sK273: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_323,type,
sK274: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_324,type,
sK275: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_325,type,
sK276: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_326,type,
sK277: ( 'A_ltln$' * 'A_ltln$' ) > 'Nat_a_set_fun$' ).
tff(func_def_327,type,
sK278: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_328,type,
sK279: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_329,type,
sK280: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_330,type,
sK281: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_331,type,
sK282: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_332,type,
sK283: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_333,type,
sK284: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_334,type,
sK285: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_335,type,
sK286: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_336,type,
sK287: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_337,type,
sK288: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_338,type,
sK289: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_339,type,
sK290: ( 'Nat$' * 'Nat$' * 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_set$' ) > 'Nat$' ).
tff(func_def_340,type,
sK291: ( 'Nat$' * 'Nat$' * 'Nat_a_set_fun$' * 'A_ltln_set$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_341,type,
sK292: ( 'Nat$' * 'Nat$' * 'Nat_a_set_fun$' * 'A_ltln_set$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_342,type,
sK293: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' * 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_set$' ) > 'Nat$' ).
tff(func_def_343,type,
sK294: ( 'A_ltln_set$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_344,type,
sK295: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' * 'A_ltln_set$' * 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_345,type,
sK296: 'Nat_a_ltln_set_fun$' > 'Nat$' ).
tff(func_def_346,type,
sK297: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_347,type,
sK298: 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$' > 'Nat$' ).
tff(func_def_348,type,
sK299: 'Nat_a_ltln_set_fun$' > 'Nat$' ).
tff(func_def_349,type,
sK300: 'Nat_int_fun$' > 'Nat$' ).
tff(func_def_350,type,
sK301: 'Nat_a_ltln_a_ltln_bool_fun_fun_fun$' > 'Nat$' ).
tff(func_def_351,type,
sK302: 'A_set_list_bool_fun$' > 'A_set$' ).
tff(func_def_352,type,
sK303: 'A_set_list_bool_fun$' > 'A_set_list$' ).
tff(func_def_353,type,
sK304: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_354,type,
sK305: 'A_set_list$' > 'A_set$' ).
tff(func_def_355,type,
sK306: ( 'A_set_list$' * 'A_set$' * 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_356,type,
sK307: ( 'A_set_list$' * 'A_set$' * 'A_set_list$' * 'A_set_list$' ) > 'A_set_list$' ).
tff(func_def_357,type,
sK308: 'A_set_list_bool_fun$' > 'A_set$' ).
tff(func_def_358,type,
sK309: 'A_set_list_bool_fun$' > 'A_set_list$' ).
tff(func_def_359,type,
sK310: 'A_set_list_bool_fun$' > 'A_set$' ).
tff(func_def_360,type,
sK311: 'A_set_list_bool_fun$' > 'A_set$' ).
tff(func_def_361,type,
sK312: 'A_set_list_bool_fun$' > 'A_set_list$' ).
tff(func_def_362,type,
sK313: 'A_set_list_bool_fun$' > 'A_set$' ).
tff(func_def_363,type,
sK314: 'A_set_list_a_set_list_bool_fun_fun$' > 'A_set$' ).
tff(func_def_364,type,
sK315: 'A_set_list_a_set_list_bool_fun_fun$' > 'A_set_list$' ).
tff(func_def_365,type,
sK316: 'A_set_list_a_set_list_bool_fun_fun$' > 'A_set$' ).
tff(func_def_366,type,
sK317: 'A_set_list_a_set_list_bool_fun_fun$' > 'A_set_list$' ).
tff(func_def_367,type,
sK318: 'A_set_list_a_set_list_bool_fun_fun$' > 'A_set$' ).
tff(func_def_368,type,
sK319: 'A_set_list_a_set_list_bool_fun_fun$' > 'A_set_list$' ).
tff(func_def_369,type,
sK320: 'A_set_list_a_set_list_bool_fun_fun$' > 'A_set$' ).
tff(func_def_370,type,
sK321: 'A_set_list_a_set_list_bool_fun_fun$' > 'A_set_list$' ).
tff(func_def_371,type,
sK322: 'A_set_list$' > 'A_set$' ).
tff(func_def_372,type,
sK323: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_373,type,
sK324: 'A_set_list$' > 'A_set$' ).
tff(func_def_374,type,
sK325: 'A_set_list$' > 'A_set$' ).
tff(func_def_375,type,
sK326: 'A_set_list$' > 'A_set$' ).
tff(func_def_376,type,
sK327: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_377,type,
sK328: 'A_set_list_list$' > 'A_set_list_list$' ).
tff(func_def_378,type,
sK329: 'A_set_list_list$' > 'A_set$' ).
tff(func_def_379,type,
sK330: 'A_set_list_list$' > 'A_set_list$' ).
tff(func_def_380,type,
sK331: 'A_set_list_list$' > 'A_set_list_list$' ).
tff(func_def_381,type,
sK332: 'A_set_list$' > 'A_set$' ).
tff(func_def_382,type,
sK333: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_383,type,
sK334: 'A_set_list$' > 'A_set$' ).
tff(func_def_384,type,
sK335: 'A_set_list$' > 'A_set_list$' ).
tff(func_def_385,type,
sK336: ( 'Nat$' * 'Nat$' * 'Nat_a_set_fun$' * 'A_ltln_set$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_386,type,
sK337: ( 'Nat$' * 'Nat$' * 'Nat_a_set_fun$' * 'A_ltln$' * 'A_ltln_set$' ) > 'Nat$' ).
tff(func_def_387,type,
sK338: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_388,type,
sK339: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_389,type,
sK340: ( 'Nat$' * 'Nat$' * 'Nat_a_set_fun$' * 'A_ltln_set$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_390,type,
sK341: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_391,type,
sK342: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).
tff(func_def_392,type,
sK343: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_393,type,
sK344: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_394,type,
sK345: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_395,type,
sK346: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_396,type,
sK347: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_397,type,
sK348: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_398,type,
sK349: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_399,type,
sK350: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_400,type,
sK351: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(func_def_401,type,
sK352: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_402,type,
sK353: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_403,type,
sK354: ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).
tff(pred_def_1,type,
'fun_app$q': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_2,type,
'equivp$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_3,type,
'less_eq$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_4,type,
'gF_advice_congruent$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_5,type,
'fun_app$ab': ( 'A_set_list_bool_fun$' * 'A_set_list$' ) > $o ).
tff(pred_def_6,type,
'transition_functions_size_axioms$': 'A_ltln_a_ltln_fun$' > $o ).
tff(pred_def_7,type,
'transition_functions_size$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_8,type,
'less$a': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_9,type,
'gF_advice_congruent_axioms$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_10,type,
'fun_app$': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_11,type,
'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_12,type,
'af_congruent$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_13,type,
'ltl_equivalence$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_14,type,
'transition_functions$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).
tff(pred_def_15,type,
'af_congruent_axioms$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).
tff(pred_def_16,type,
'less$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).
tff(pred_def_17,type,
'less_eq$b': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_18,type,
'less_eq$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).
tff(pred_def_21,type,
sP0: 'Int_int_bool_fun_fun$' > $o ).
tff(pred_def_22,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_23,type,
sP2: ( $int * $int * $int ) > $o ).
tff(pred_def_24,type,
sP3: ( $int * $int * $int ) > $o ).
tff(pred_def_25,type,
sP4: ( $int * $int * $int ) > $o ).
tff(pred_def_26,type,
sP5: ( $int * $int * $int ) > $o ).
tff(pred_def_27,type,
sP6: ( 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$' ) > $o ).
tff(pred_def_28,type,
sP7: ( 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set_list$' ) > $o ).
tff(pred_def_29,type,
sP8: ( 'Nat_a_set_fun$' * tlbool ) > $o ).
tff(pred_def_30,type,
sP9: ( 'Nat_a_set_fun$' * tlbool ) > $o ).
tff(pred_def_31,type,
sP10: ( 'Nat_a_set_fun$' * tlbool ) > $o ).
tff(pred_def_32,type,
sP11: ( 'Nat_a_set_fun$' * tlbool ) > $o ).
tff(pred_def_33,type,
sP12: 'Int_int_bool_fun_fun$' > $o ).
tff(pred_def_34,type,
sP13: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_35,type,
sP14: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_36,type,
sP15: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_37,type,
sP16: 'A_ltln_a_ltln_fun$' > $o ).
tff(pred_def_38,type,
sP17: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_39,type,
sP18: 'A_ltln_a_ltln_fun$' > $o ).
tff(pred_def_40,type,
sP19: ( 'A_ltln_a_ltln_fun$' * 'A_ltln_a_ltln_bool_fun_fun$' ) > $o ).
tff(pred_def_41,type,
sP20: ( 'A_ltln$' * 'A_ltln$' ) > $o ).
tff(pred_def_42,type,
sP21: ( 'A_set_list$' * 'A_set$' * 'A_set_list$' * 'A_set_list$' ) > $o ).
tff(pred_def_43,type,
sP22: ( 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set$' ) > $o ).
tff(pred_def_44,type,
sP23: ( 'A_set_list$' * 'A_set$' * 'A_set_list$' * 'A_set_list$' ) > $o ).
tff(pred_def_45,type,
sP24: ( 'A_set_list$' * 'A_set_list$' * 'A_set_list$' * 'A_set$' ) > $o ).
tff(pred_def_46,type,
sP25: 'A_set_list_bool_fun$' > $o ).
tff(pred_def_47,type,
sP26: 'A_set_list_bool_fun$' > $o ).
tff(pred_def_48,type,
sP27: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > $o ).
tff(pred_def_49,type,
sP28: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > $o ).
tff(f2,conjecture,
'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture1) ).
tff(f3,negated_conjecture,
~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,axiom,
'less_eq$'('nested_prop_atoms$'('psi$'),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis2) ).
tff(f9,axiom,
! [X0: 'A_ltln$',X1: 'A_ltln$',X2: 'A_set$'] :
( ( 'fun_app$'('fun_app$e'('eq$',X1),'true_ltln$')
=> ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),X1),X2) = 'fun_app$d'('until_ltln$'('true_ltln$'),X0) ) )
& ( ~ 'fun_app$'('fun_app$e'('eq$',X1),'true_ltln$')
=> ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),X1),X2) = 'fun_app$a'('fun_app$b'('af_letter$',X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom7) ).
tff(f127,axiom,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln_set$'] :
( ( 'less_eq$'(X0,X1)
& 'less_eq$'(X1,X2) )
=> 'less_eq$'(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom125) ).
tff(f139,axiom,
! [X0: 'A_ltln$',X1: 'A_set$'] : 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$',X0),X1)),'nested_prop_atoms$'(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom137) ).
tff(f464,axiom,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'less_eq$'(X0,X1)
<=> ( 'less$'(X0,X1)
| ( X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom462) ).
tff(f783,plain,
~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
inference(flattening,[],[f3]) ).
tff(f850,plain,
! [X0: 'A_ltln$',X1: 'A_ltln$',X2: 'A_set$'] :
( ( ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),X1),X2) = 'fun_app$d'('until_ltln$'('true_ltln$'),X0) )
| ~ 'fun_app$'('fun_app$e'('eq$',X1),'true_ltln$') )
& ( ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),X1),X2) = 'fun_app$a'('fun_app$b'('af_letter$',X1),X2) )
| 'fun_app$'('fun_app$e'('eq$',X1),'true_ltln$') ) ),
inference(ennf_transformation,[],[f9]) ).
tff(f1002,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln_set$'] :
( 'less_eq$'(X0,X2)
| ~ 'less_eq$'(X0,X1)
| ~ 'less_eq$'(X1,X2) ),
inference(ennf_transformation,[],[f127]) ).
tff(f1003,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$',X2: 'A_ltln_set$'] :
( 'less_eq$'(X0,X2)
| ~ 'less_eq$'(X0,X1)
| ~ 'less_eq$'(X1,X2) ),
inference(flattening,[],[f1002]) ).
tff(f1913,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( ( 'less_eq$'(X0,X1)
| ( ~ 'less$'(X0,X1)
& ( X0 != X1 ) ) )
& ( 'less$'(X0,X1)
| ( X0 = X1 )
| ~ 'less_eq$'(X0,X1) ) ),
inference(nnf_transformation,[],[f464]) ).
tff(f1914,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( ( 'less_eq$'(X0,X1)
| ( ~ 'less$'(X0,X1)
& ( X0 != X1 ) ) )
& ( 'less$'(X0,X1)
| ( X0 = X1 )
| ~ 'less_eq$'(X0,X1) ) ),
inference(flattening,[],[f1913]) ).
tff(f2046,plain,
~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),'phi$'),'psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
inference(cnf_transformation,[],[f783]) ).
tff(f2047,plain,
'less_eq$'('nested_prop_atoms$'('psi$'),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
inference(cnf_transformation,[],[f4]) ).
tff(f2052,plain,
! [X2: 'A_set$',X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'fun_app$'('fun_app$e'('eq$',X1),'true_ltln$')
| ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),X1),X2) = 'fun_app$a'('fun_app$b'('af_letter$',X1),X2) ) ),
inference(cnf_transformation,[],[f850]) ).
tff(f2053,plain,
! [X2: 'A_set$',X0: 'A_ltln$',X1: 'A_ltln$'] :
( ~ 'fun_app$'('fun_app$e'('eq$',X1),'true_ltln$')
| ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),X1),X2) = 'fun_app$d'('until_ltln$'('true_ltln$'),X0) ) ),
inference(cnf_transformation,[],[f850]) ).
tff(f2255,plain,
! [X2: 'A_ltln_set$',X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( ~ 'less_eq$'(X1,X2)
| ~ 'less_eq$'(X0,X1)
| 'less_eq$'(X0,X2) ),
inference(cnf_transformation,[],[f1003]) ).
tff(f2273,plain,
! [X0: 'A_ltln$',X1: 'A_set$'] : 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$',X0),X1)),'nested_prop_atoms$'(X0)),
inference(cnf_transformation,[],[f139]) ).
tff(f2830,plain,
! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
( 'less_eq$'(X0,X1)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f1914]) ).
tff(f3257,plain,
! [X1: 'A_ltln_set$'] : 'less_eq$'(X1,X1),
inference(equality_resolution,[],[f2830]) ).
tff(f3348,plain,
! [X0: 'A_ltln_set$'] :
( ~ 'less_eq$'(X0,'nested_prop_atoms$'('psi$'))
| 'less_eq$'(X0,'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))) ),
inference(resolution,[],[f2255,f2047]) ).
tff(f3453,plain,
! [X2: 'A_set$',X3: 'A_ltln$',X0: 'A_ltln$',X1: 'A_ltln$',X4: 'A_set$'] :
( ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),X1),X2) = 'fun_app$a'('fun_app$b'('af_letter$',X1),X2) )
| ( 'fun_app$d'('until_ltln$'('true_ltln$'),X3) = 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X3),X1),X4) ) ),
inference(resolution,[],[f2052,f2053]) ).
tff(f4431,plain,
! [X0: 'A_set$'] : 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$','psi$'),X0)),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))),
inference(resolution,[],[f3348,f2273]) ).
tff(f6288,plain,
! [X0: 'A_ltln$',X1: 'A_set$'] :
( ~ 'less_eq$'('nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')))
| ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),'psi$'),X1) = 'fun_app$a'('fun_app$b'('af_letter$','psi$'),X1) ) ),
inference(superposition,[],[f2046,f3453]) ).
tff(f6304,definition,
( spl355_30
<=> ! [X0: 'A_ltln$',X1: 'A_set$'] : ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),'psi$'),X1) = 'fun_app$a'('fun_app$b'('af_letter$','psi$'),X1) ) ),
introduced(definition,[new_symbols(definition,[spl355_30])],[avatar_definition]) ).
tff(f6305,plain,
( ! [X0: 'A_ltln$',X1: 'A_set$'] : ( 'fun_app$a'('fun_app$b'('fun_app$c'('af_letter_F$'('eq$'),X0),'psi$'),X1) = 'fun_app$a'('fun_app$b'('af_letter$','psi$'),X1) )
| ~ spl355_30 ),
inference(avatar_component_clause,[],[f6304]) ).
tff(f6316,definition,
( spl355_32
<=> 'less_eq$'('nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))) ),
introduced(definition,[new_symbols(definition,[spl355_32])],[avatar_definition]) ).
tff(f6318,plain,
( ~ 'less_eq$'('nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')))
| spl355_32 ),
inference(avatar_component_clause,[],[f6316]) ).
tff(f6319,plain,
( spl355_30
| ~ spl355_32 ),
inference(avatar_split_clause,[],[f6288,f6316,f6304]) ).
tff(f6321,definition,
( spl355_33
<=> 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$','psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$'))) ),
introduced(definition,[new_symbols(definition,[spl355_33])],[avatar_definition]) ).
tff(f6323,plain,
( ~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$','psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')))
| spl355_33 ),
inference(avatar_component_clause,[],[f6321]) ).
tff(f6327,plain,
( $false
| spl355_32 ),
inference(resolution,[],[f6318,f3257]) ).
tff(f6328,plain,
spl355_32,
inference(avatar_contradiction_clause,[],[f6327]) ).
tff(f6352,plain,
( ~ 'less_eq$'('nested_prop_atoms$'('fun_app$a'('fun_app$b'('af_letter$','psi$'),'nu$')),'nested_prop_atoms$'('fun_app$d'('until_ltln$'('true_ltln$'),'phi$')))
| ~ spl355_30 ),
inference(superposition,[],[f2046,f6305]) ).
tff(f12185,plain,
( $false
| spl355_33 ),
inference(resolution,[],[f4431,f6323]) ).
tff(f12193,plain,
spl355_33,
inference(avatar_contradiction_clause,[],[f12185]) ).
tff(f12194,plain,
( ~ spl355_33
| ~ spl355_30 ),
inference(avatar_split_clause,[],[f6352,f6304,f6321]) ).
cnf(s2131,plain,
( spl355_30
| ~ spl355_32 ),
inference(sat_conversion,[],[f6319]) ).
cnf(s2137,plain,
spl355_32,
inference(sat_conversion,[],[f6328]) ).
cnf(s4354,plain,
spl355_33,
inference(sat_conversion,[],[f12193]) ).
cnf(s4364,plain,
( ~ spl355_30
| ~ spl355_33 ),
inference(sat_conversion,[],[f12194]) ).
cnf(s4365,plain,
~ spl355_30,
inference(rat,[],[s4364,s4354]) ).
cnf(s4367,plain,
$false,
inference(rat,[],[s2131,s2137,s4365]) ).
tff(f12195,plain,
$false,
inference(avatar_sat_refutation,[],[s4367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP374_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 12:55:55 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.17/1.40 % (2955690)Will run a generic schedule for satisfiability detection.
% 6.17/1.40 % (2955700)dis+10_1_sil=32000:sp=arity:random_seed=1608896919:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.17/1.40 % (2955698)% WARNING: option uhcvi not known.
% 6.17/1.40 % (2955698)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=541700364:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.17/1.40 % (2955697)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=315521162_2999 on theBenchmark for (2999ds/0Mi)
% 6.17/1.40 % (2955699)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2209878628:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.17/1.40 % (2955701)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1591805654:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.17/1.40 % (2955703)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=199989341:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.17/1.40 % (2955702)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2955942445:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.17/1.40 % (2955700)Instruction limit reached!
% 6.17/1.40 % (2955700)------------------------------
% 6.17/1.40 % (2955700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.40 % (2955700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.40 % (2955700)CaDiCaL version: 2.1.3
% 6.17/1.40 % (2955700)Termination reason: Instruction limit
% 6.17/1.40 % (2955700)Termination phase: Saturation
% 6.17/1.40 % (2955700)Time elapsed: 0.051 s
% 6.17/1.40 % (2955700)Peak memory usage: 13 MB
% 6.17/1.40 % (2955700)Instructions burned: 104 (million)
% 6.17/1.40 % (2955711)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2903208019:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.17/1.40 % (2955697)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.17/1.40 % (2955697)Terminated due to inappropriate strategy.
% 6.17/1.40 % (2955697)------------------------------
% 6.17/1.40 % (2955697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.40 % (2955697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.40 % (2955697)CaDiCaL version: 2.1.3
% 6.17/1.40 % (2955697)Termination reason: Inappropriate
% 6.17/1.40 % (2955697)Time elapsed: 0.078 s
% 6.17/1.40 % (2955697)Peak memory usage: 13 MB
% 6.17/1.40 % (2955697)Instructions burned: 88 (million)
% 6.17/1.40 % (2955697)------------------------------
% 6.17/1.40 % (2955697)------------------------------
% 6.17/1.40 % (2955701)Instruction limit reached!
% 6.17/1.40 % (2955701)------------------------------
% 6.17/1.40 % (2955701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.40 % (2955701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.40 % (2955701)CaDiCaL version: 2.1.3
% 6.17/1.40 % (2955701)Termination reason: Instruction limit
% 6.17/1.40 % (2955701)Termination phase: Saturation
% 6.17/1.40 % (2955701)Time elapsed: 0.105 s
% 6.17/1.40 % (2955701)Peak memory usage: 13 MB
% 6.17/1.40 % (2955701)Instructions burned: 117 (million)
% 6.17/1.40 % (2955713)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1081459408:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.17/1.40 % (2955711)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.17/1.40 % (2955711)Terminated due to inappropriate strategy.
% 6.17/1.40 % (2955711)------------------------------
% 6.17/1.40 % (2955711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.40 % (2955711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.40 % (2955711)CaDiCaL version: 2.1.3
% 6.17/1.40 % (2955711)Termination reason: Inappropriate
% 6.17/1.40 % (2955711)Time elapsed: 0.058 s
% 6.17/1.40 % (2955711)Peak memory usage: 12 MB
% 6.17/1.40 % (2955711)Instructions burned: 72 (million)
% 6.17/1.40 % (2955711)------------------------------
% 6.17/1.40 % (2955711)------------------------------
% 6.17/1.40 % (2955702)Instruction limit reached!
% 6.17/1.40 % (2955702)------------------------------
% 6.17/1.40 % (2955702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.40 % (2955702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.40 % (2955702)CaDiCaL version: 2.1.3
% 6.17/1.40 % (2955702)Termination reason: Instruction limit
% 10.72/2.13 % (2955702)Termination phase: Saturation
% 10.72/2.13 % (2955702)Time elapsed: 0.128 s
% 10.72/2.13 % (2955702)Peak memory usage: 14 MB
% 10.72/2.13 % (2955702)Instructions burned: 132 (million)
% 10.72/2.13 % (2955714)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3183858350:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 10.72/2.13 % (2955716)ott-21_1_sil=16000:fs=off:random_seed=367576932:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 10.72/2.13 % (2955703)Instruction limit reached!
% 10.72/2.13 % (2955703)------------------------------
% 10.72/2.13 % (2955703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.72/2.13 % (2955703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.13 % (2955703)CaDiCaL version: 2.1.3
% 10.72/2.13 % (2955703)Termination reason: Instruction limit
% 10.72/2.13 % (2955703)Termination phase: Saturation
% 10.72/2.13 % (2955703)Time elapsed: 0.157 s
% 10.72/2.13 % (2955703)Peak memory usage: 15 MB
% 10.72/2.13 % (2955703)Instructions burned: 160 (million)
% 10.72/2.13 % (2955717)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3792999147:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 10.72/2.13 % (2955720)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2341576923:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.72/2.13 % (2955720)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.72/2.13 % (2955720)Terminated due to inappropriate strategy.
% 10.72/2.13 % (2955720)------------------------------
% 10.72/2.13 % (2955720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.72/2.13 % (2955720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.13 % (2955720)CaDiCaL version: 2.1.3
% 10.72/2.13 % (2955720)Termination reason: Inappropriate
% 10.72/2.13 % (2955720)Time elapsed: 0.030 s
% 10.72/2.13 % (2955720)Peak memory usage: 12 MB
% 10.72/2.13 % (2955720)Instructions burned: 57 (million)
% 10.72/2.13 % (2955720)------------------------------
% 10.72/2.13 % (2955720)------------------------------
% 10.72/2.13 % (2955716)Instruction limit reached!
% 10.72/2.13 % (2955716)------------------------------
% 10.72/2.13 % (2955716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.72/2.13 % (2955716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.13 % (2955716)CaDiCaL version: 2.1.3
% 10.72/2.13 % (2955716)Termination reason: Instruction limit
% 10.72/2.13 % (2955716)Termination phase: Saturation
% 10.72/2.13 % (2955716)Time elapsed: 0.086 s
% 10.72/2.13 % (2955716)Peak memory usage: 14 MB
% 10.72/2.13 % (2955716)Instructions burned: 180 (million)
% 10.72/2.13 % (2955713)Instruction limit reached!
% 10.72/2.13 % (2955713)------------------------------
% 10.72/2.13 % (2955713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.72/2.13 % (2955713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.13 % (2955713)CaDiCaL version: 2.1.3
% 10.72/2.13 % (2955713)Termination reason: Instruction limit
% 10.72/2.13 % (2955713)Termination phase: Saturation
% 10.72/2.13 % (2955713)Time elapsed: 0.122 s
% 10.72/2.13 % (2955713)Peak memory usage: 14 MB
% 10.72/2.13 % (2955713)Instructions burned: 132 (million)
% 10.72/2.13 % (2955723)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=747217256:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 10.72/2.14 % (2955724)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1851754171:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 10.72/2.14 % (2955725)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=959962300:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 10.72/2.14 % (2955724)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.72/2.14 % (2955724)Terminated due to inappropriate strategy.
% 10.72/2.14 % (2955724)------------------------------
% 10.72/2.14 % (2955724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.72/2.14 % (2955724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.14 % (2955724)CaDiCaL version: 2.1.3
% 10.72/2.14 % (2955724)Termination reason: Inappropriate
% 10.72/2.14 % (2955724)Time elapsed: 0.037 s
% 10.72/2.14 % (2955724)Peak memory usage: 12 MB
% 29.93/4.90 % (2955724)Instructions burned: 73 (million)
% 29.93/4.90 % (2955724)------------------------------
% 29.93/4.90 % (2955724)------------------------------
% 29.93/4.90 % (2955729)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3719284889:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 29.93/4.90 % (2955717)Instruction limit reached!
% 29.93/4.90 % (2955717)------------------------------
% 29.93/4.90 % (2955717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.93/4.90 % (2955717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.93/4.90 % (2955717)CaDiCaL version: 2.1.3
% 29.93/4.90 % (2955717)Termination reason: Instruction limit
% 29.93/4.90 % (2955717)Termination phase: Saturation
% 29.93/4.90 % (2955717)Time elapsed: 0.511 s
% 29.93/4.90 % (2955717)Peak memory usage: 16 MB
% 29.93/4.90 % (2955717)Instructions burned: 477 (million)
% 29.93/4.90 % (2955731)fmb+10_1_sil=64000:random_seed=2840060269:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 29.93/4.90 % (2955729)Instruction limit reached!
% 29.93/4.90 % (2955729)------------------------------
% 29.93/4.90 % (2955729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955729)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955729)Termination reason: Instruction limit
% 31.02/4.90 % (2955729)Termination phase: Saturation
% 31.02/4.90 % (2955729)Time elapsed: 0.419 s
% 31.02/4.90 % (2955729)Peak memory usage: 19 MB
% 31.02/4.90 % (2955729)Instructions burned: 879 (million)
% 31.02/4.90 % (2955714)Instruction limit reached!
% 31.02/4.90 % (2955714)------------------------------
% 31.02/4.90 % (2955714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955714)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955714)Termination reason: Instruction limit
% 31.02/4.90 % (2955714)Termination phase: Saturation
% 31.02/4.90 % (2955714)Time elapsed: 0.618 s
% 31.02/4.90 % (2955714)Peak memory usage: 17 MB
% 31.02/4.90 % (2955714)Instructions burned: 684 (million)
% 31.02/4.90 % (2955733)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1355310586:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 31.02/4.90 % (2955731)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 31.02/4.90 % (2955731)Terminated due to inappropriate strategy.
% 31.02/4.90 % (2955731)------------------------------
% 31.02/4.90 % (2955731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955731)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955731)Termination reason: Inappropriate
% 31.02/4.90 % (2955731)Time elapsed: 0.072 s
% 31.02/4.90 % (2955731)Peak memory usage: 12 MB
% 31.02/4.90 % (2955731)Instructions burned: 79 (million)
% 31.02/4.90 % (2955735)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1118768592:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 31.02/4.90 % (2955731)------------------------------
% 31.02/4.90 % (2955731)------------------------------
% 31.02/4.90 % (2955733)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 31.02/4.90 % (2955733)Terminated due to inappropriate strategy.
% 31.02/4.90 % (2955733)------------------------------
% 31.02/4.90 % (2955733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955733)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955733)Termination reason: Inappropriate
% 31.02/4.90 % (2955733)Time elapsed: 0.034 s
% 31.02/4.90 % (2955733)Peak memory usage: 12 MB
% 31.02/4.90 % (2955733)Instructions burned: 72 (million)
% 31.02/4.90 % (2955733)------------------------------
% 31.02/4.90 % (2955733)------------------------------
% 31.02/4.90 % (2955737)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1267906768:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 31.02/4.90 % (2955735)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 31.02/4.90 % (2955735)Terminated due to inappropriate strategy.
% 31.02/4.90 % (2955735)------------------------------
% 31.02/4.90 % (2955735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955735)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955735)Termination reason: Inappropriate
% 31.02/4.90 % (2955735)Time elapsed: 0.042 s
% 31.02/4.90 % (2955735)Peak memory usage: 12 MB
% 31.02/4.90 % (2955735)Instructions burned: 73 (million)
% 31.02/4.90 % (2955735)------------------------------
% 31.02/4.90 % (2955735)------------------------------
% 31.02/4.90 % (2955738)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4112075829:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 31.02/4.90 % (2955740)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4218711373:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 31.02/4.90 % (2955740)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 31.02/4.90 % (2955740)Terminated due to inappropriate strategy.
% 31.02/4.90 % (2955740)------------------------------
% 31.02/4.90 % (2955740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955740)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955740)Termination reason: Inappropriate
% 31.02/4.90 % (2955740)Time elapsed: 0.046 s
% 31.02/4.90 % (2955740)Peak memory usage: 13 MB
% 31.02/4.90 % (2955740)Instructions burned: 87 (million)
% 31.02/4.90 % (2955740)------------------------------
% 31.02/4.90 % (2955740)------------------------------
% 31.02/4.90 % (2955743)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1972714932:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 31.02/4.90 % (2955743)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 31.02/4.90 % (2955743)Terminated due to inappropriate strategy.
% 31.02/4.90 % (2955743)------------------------------
% 31.02/4.90 % (2955743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955743)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955743)Termination reason: Inappropriate
% 31.02/4.90 % (2955743)Time elapsed: 0.036 s
% 31.02/4.90 % (2955743)Peak memory usage: 12 MB
% 31.02/4.90 % (2955743)Instructions burned: 73 (million)
% 31.02/4.90 % (2955743)------------------------------
% 31.02/4.90 % (2955743)------------------------------
% 31.02/4.90 % (2955745)ott-2_1_sil=16000:newcnf=on:random_seed=3584386676:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 31.02/4.90 % (2955725)Instruction limit reached!
% 31.02/4.90 % (2955725)------------------------------
% 31.02/4.90 % (2955725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955725)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955725)Termination reason: Instruction limit
% 31.02/4.90 % (2955725)Termination phase: Saturation
% 31.02/4.90 % (2955725)Time elapsed: 0.742 s
% 31.02/4.90 % (2955725)Peak memory usage: 19 MB
% 31.02/4.90 % (2955725)Instructions burned: 692 (million)
% 31.02/4.90 % (2955747)ott+10_1_sil=32000:tgt=ground:random_seed=2314871607:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 31.02/4.90 % (2955723)Instruction limit reached!
% 31.02/4.90 % (2955723)------------------------------
% 31.02/4.90 % (2955723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955723)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955723)Termination reason: Instruction limit
% 31.02/4.90 % (2955723)Termination phase: Saturation
% 31.02/4.90 % (2955723)Time elapsed: 1.188 s
% 31.02/4.90 % (2955723)Peak memory usage: 22 MB
% 31.02/4.90 % (2955723)Instructions burned: 1179 (million)
% 31.02/4.90 % (2955751)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1652582102:i=54282_2984 on theBenchmark for (2984ds/54282Mi)
% 31.02/4.90 % (2955751)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 31.02/4.90 % (2955751)Terminated due to inappropriate strategy.
% 31.02/4.90 % (2955751)------------------------------
% 31.02/4.90 % (2955751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955751)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955751)Termination reason: Inappropriate
% 31.02/4.90 % (2955751)Time elapsed: 0.084 s
% 31.02/4.90 % (2955751)Peak memory usage: 12 MB
% 31.02/4.90 % (2955751)Instructions burned: 88 (million)
% 31.02/4.90 % (2955751)------------------------------
% 31.02/4.90 % (2955751)------------------------------
% 31.02/4.90 % (2955753)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=529283485:i=3512:aac=none_2983 on theBenchmark for (2983ds/3512Mi)
% 31.02/4.90 % (2955745)Instruction limit reached!
% 31.02/4.90 % (2955745)------------------------------
% 31.02/4.90 % (2955745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955745)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955745)Termination reason: Instruction limit
% 31.02/4.90 % (2955745)Termination phase: Saturation
% 31.02/4.90 % (2955745)Time elapsed: 0.616 s
% 31.02/4.90 % (2955745)Peak memory usage: 15 MB
% 31.02/4.90 % (2955745)Instructions burned: 869 (million)
% 31.02/4.90 % (2955755)dis+21_1_sil=32000:sas=cadical:random_seed=1268153866:i=3773:amm=off_2983 on theBenchmark for (2983ds/3773Mi)
% 31.02/4.90 % (2955738)Instruction limit reached!
% 31.02/4.90 % (2955738)------------------------------
% 31.02/4.90 % (2955738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955738)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955738)Termination reason: Instruction limit
% 31.02/4.90 % (2955738)Termination phase: Saturation
% 31.02/4.90 % (2955738)Time elapsed: 1.370 s
% 31.02/4.90 % (2955738)Peak memory usage: 27 MB
% 31.02/4.90 % (2955738)Instructions burned: 1472 (million)
% 31.02/4.90 % (2955757)ott+11_1_sil=16000:gs=on:random_seed=4207073971:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2977 on theBenchmark for (2977ds/2251Mi)
% 31.02/4.90 % (2955747)Instruction limit reached!
% 31.02/4.90 % (2955747)------------------------------
% 31.02/4.90 % (2955747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955747)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955747)Termination reason: Instruction limit
% 31.02/4.90 % (2955747)Termination phase: Saturation
% 31.02/4.90 % (2955747)Time elapsed: 2.742 s
% 31.02/4.90 % (2955747)Peak memory usage: 48 MB
% 31.02/4.90 % (2955747)Instructions burned: 5115 (million)
% 31.02/4.90 % (2955763)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=17383149:fmbsr=1.6:i=67534_2961 on theBenchmark for (2961ds/67534Mi)
% 31.02/4.90 % (2955763)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 31.02/4.90 % (2955763)Terminated due to inappropriate strategy.
% 31.02/4.90 % (2955763)------------------------------
% 31.02/4.90 % (2955763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955763)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955763)Termination reason: Inappropriate
% 31.02/4.90 % (2955763)Time elapsed: 0.047 s
% 31.02/4.90 % (2955763)Peak memory usage: 12 MB
% 31.02/4.90 % (2955763)Instructions burned: 73 (million)
% 31.02/4.90 % (2955763)------------------------------
% 31.02/4.90 % (2955763)------------------------------
% 31.02/4.90 % (2955765)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2006003256:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2960 on theBenchmark for (2960ds/4591Mi)
% 31.02/4.90 % (2955757) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2955690-2955757"...
% 31.02/4.90 % (2955757)...printing done.
% 31.02/4.90 % (2955757)Refutation found. Thanks to Tanya!
% 31.02/4.90 % SZS status Theorem for theBenchmark
% 31.02/4.90 % SZS output start Proof for theBenchmark
% See solution above
% 31.02/4.90 % (2955757)------------------------------
% 31.02/4.90 % (2955757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.02/4.90 % (2955757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/4.90 % (2955757)CaDiCaL version: 2.1.3
% 31.02/4.90 % (2955757)Termination reason: Refutation
% 31.02/4.90 % (2955757)Time elapsed: 2.073 s
% 31.02/4.90 % (2955757)Peak memory usage: 25 MB
% 31.02/4.90 % (2955757)Instructions burned: 2145 (million)
% 31.02/4.90 % (2955690)Success in time 4.4 s
% 31.02/4.90 % Vampire exiting
%------------------------------------------------------------------------------