TSTP Solution File: ITP366_1 by SnakeForV-SAT---1.0

View Problem - 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 : n019.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 17:27:21 EDT 2022

% Result   : Theorem 2.52s 0.83s
% Output   : Refutation 2.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  190
% Syntax   : Number of formulae    :  207 (  20 unt; 184 typ;   0 def)
%            Number of atoms       :   28 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   9   ~;   3   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number arithmetic     :   13 (   0 atm;   0 fun;  13 num;   0 var)
%            Number of types       :   27 (  25 usr;   1 ari)
%            Number of type conns  :  245 ( 143   >; 102   *;   0   +;   0  <<)
%            Number of predicates  :   24 (  22 usr;   1 prp; 0-3 aty)
%            Number of functors    :  139 ( 137 usr;  18 con; 0-4 aty)
%            Number of variables   :   22 (  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'Int_bool_fun$': $tType ).

tff(type_def_6,type,
    'Nat_nat_bool_fun_fun$': $tType ).

tff(type_def_7,type,
    'A_ltln_a_ltln_fun$': $tType ).

tff(type_def_8,type,
    'Int_int_fun$': $tType ).

tff(type_def_9,type,
    'Nat_a_set_fun_bool_fun$': $tType ).

tff(type_def_10,type,
    'Num_bool_fun$': $tType ).

tff(type_def_11,type,
    'Nat_nat_fun$': $tType ).

tff(type_def_12,type,
    'Nat$': $tType ).

tff(type_def_13,type,
    'Num$': $tType ).

tff(type_def_14,type,
    'Bool_nat_fun$': $tType ).

tff(type_def_15,type,
    tlbool: $tType ).

tff(type_def_16,type,
    'Nat_num_fun$': $tType ).

tff(type_def_17,type,
    'A_set_a_ltln_fun$': $tType ).

tff(type_def_18,type,
    'A_ltln_bool_fun$': $tType ).

tff(type_def_19,type,
    'A_set$': $tType ).

tff(type_def_20,type,
    'A_ltln_set$': $tType ).

tff(type_def_21,type,
    'A_set_list$': $tType ).

tff(type_def_22,type,
    'A_ltln$': $tType ).

tff(type_def_23,type,
    'Bool_bool_fun$': $tType ).

tff(type_def_24,type,
    'Nat_a_set_fun$': $tType ).

tff(type_def_25,type,
    'Nat_a_set_fun_set$': $tType ).

tff(type_def_26,type,
    'Nat_bool_fun$': $tType ).

tff(type_def_27,type,
    'A_ltln_a_set_a_ltln_fun_fun$': $tType ).

tff(type_def_28,type,
    'Nat_int_fun$': $tType ).

tff(type_def_29,type,
    'A_ltln_a_ltln_bool_fun_fun$': $tType ).

tff(func_def_0,type,
    'w$': 'Nat_a_set_fun$' ).

tff(func_def_1,type,
    'uud$': 'Nat_nat_fun$' ).

tff(func_def_2,type,
    'case_nat$a': ( tlbool * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_3,type,
    'af_letter$': 'A_ltln_a_set_a_ltln_fun_fun$' ).

tff(func_def_4,type,
    'plus$': ( 'Num$' * 'Num$' ) > 'Num$' ).

tff(func_def_5,type,
    'f$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_6,type,
    'g_F$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_7,type,
    'mu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_8,type,
    'fun_app$h': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' ) > 'A_set_a_ltln_fun$' ).

tff(func_def_9,type,
    'sgn$': $int > $int ).

tff(func_def_10,type,
    'id$': 'A_ltln_a_ltln_fun$' ).

tff(func_def_11,type,
    'dbl_dec$': $int > $int ).

tff(func_def_12,type,
    'bit0$': 'Num$' > 'Num$' ).

tff(func_def_13,type,
    'x$': 'A_ltln_set$' ).

tff(func_def_14,type,
    'uua$': 'Nat_a_set_fun_set$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_15,type,
    'fun_app$a': ( 'Int_int_fun$' * $int ) > $int ).

tff(func_def_16,type,
    'next_ltln$': 'A_ltln_a_ltln_fun$' ).

tff(func_def_17,type,
    'unf$': 'A_ltln_a_ltln_fun$' ).

tff(func_def_18,type,
    def_5: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_19,type,
    'pred$': 'Nat_nat_fun$' ).

tff(func_def_20,type,
    'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_21,type,
    'build$': ( 'A_set$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_22,type,
    'uug$': ( 'Bool_nat_fun$' * 'Nat_bool_fun$' ) > 'Nat_nat_fun$' ).

tff(func_def_23,type,
    'num_of_nat$': 'Nat_num_fun$' ).

tff(func_def_24,type,
    'collect$': 'Nat_a_set_fun_bool_fun$' > 'Nat_a_set_fun_set$' ).

tff(func_def_25,type,
    'of_nat$': 'Nat_int_fun$' ).

tff(func_def_26,type,
    'conc$': ( 'A_set_list$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_27,type,
    'fun_app$k': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).

tff(func_def_28,type,
    'g$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_29,type,
    def_10: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_30,type,
    'gF_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_31,type,
    'foldl$': ( 'A_ltln_a_set_a_ltln_fun_fun$' * 'A_ltln$' * 'A_set_list$' ) > 'A_ltln$' ).

tff(func_def_32,type,
    'dbl_inc$': $int > $int ).

tff(func_def_33,type,
    def_1: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_34,type,
    'subsequence$': ( 'Nat_a_set_fun$' * 'Nat$' * 'Nat$' ) > 'A_set_list$' ).

tff(func_def_35,type,
    tltrue: tlbool ).

tff(func_def_36,type,
    def_8: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_37,type,
    'uui$': 'Nat_bool_fun$' ).

tff(func_def_38,type,
    'uuf$': ( 'Nat_bool_fun$' * 'Nat_nat_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_39,type,
    'fun_app$e': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_40,type,
    'inc$': 'Num$' > 'Num$' ).

tff(func_def_41,type,
    'uub$': $int > 'Int_bool_fun$' ).

tff(func_def_42,type,
    'numeral$': 'Num$' > $int ).

tff(func_def_43,type,
    def_9: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_44,type,
    'fun_app$p': ( 'Nat_num_fun$' * 'Nat$' ) > 'Num$' ).

tff(func_def_45,type,
    'sub$': ( 'Num$' * 'Num$' ) > $int ).

tff(func_def_46,type,
    'bit1$': 'Num$' > 'Num$' ).

tff(func_def_47,type,
    'nu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_48,type,
    'dbl$': $int > $int ).

tff(func_def_49,type,
    'f_G$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_50,type,
    'one$': 'Num$' ).

tff(func_def_51,type,
    'fun_app$f': ( 'Bool_nat_fun$' * tlbool ) > 'Nat$' ).

tff(func_def_52,type,
    'case_nat$': ( 'Nat$' * 'Nat_nat_fun$' ) > 'Nat_nat_fun$' ).

tff(func_def_53,type,
    'fun_app$i': ( 'A_ltln_a_ltln_fun$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_54,type,
    'fun_app$n': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).

tff(func_def_55,type,
    'fG_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_56,type,
    def_4: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_57,type,
    'uu$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_58,type,
    'language_ltln$': 'A_ltln$' > 'Nat_a_set_fun_set$' ).

tff(func_def_59,type,
    'fun_app$g': ( 'A_set_a_ltln_fun$' * 'A_set$' ) > 'A_ltln$' ).

tff(func_def_60,type,
    tlfalse: tlbool ).

tff(func_def_61,type,
    'fun_app$j': ( 'Nat_a_set_fun$' * 'Nat$' ) > 'A_set$' ).

tff(func_def_62,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_63,type,
    'uuj$': 'Nat_bool_fun$' ).

tff(func_def_64,type,
    'less$': 'Num$' > 'Num_bool_fun$' ).

tff(func_def_65,type,
    def_2: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_66,type,
    def_6: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).

tff(func_def_67,type,
    'uue$': ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat_nat_fun$' ).

tff(func_def_68,type,
    'uuc$': $int > 'Int_int_fun$' ).

tff(func_def_69,type,
    'fun_app$m': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_70,type,
    'uuh$': ( 'Bool_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_71,type,
    def_3: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_72,type,
    def_7: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).

tff(func_def_73,type,
    'phi$': 'A_ltln$' ).

tff(func_def_81,type,
    sK10: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_82,type,
    sK11: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_83,type,
    sK12: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_84,type,
    sK13: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_85,type,
    sK14: 'Nat$' > 'Nat$' ).

tff(func_def_86,type,
    sK15: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_87,type,
    sK16: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_88,type,
    sK17: 'Num_bool_fun$' > 'Num$' ).

tff(func_def_89,type,
    sK18: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_90,type,
    sK19: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_91,type,
    sK20: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat$' ).

tff(func_def_92,type,
    sK21: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_93,type,
    sK22: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_94,type,
    sK23: 'Num$' > 'Num$' ).

tff(func_def_95,type,
    sK24: 'Num$' > 'Num$' ).

tff(func_def_96,type,
    sK25: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_97,type,
    sK26: 'Nat_num_fun$' > 'Nat$' ).

tff(func_def_98,type,
    sK27: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_99,type,
    sK28: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_100,type,
    sK29: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_101,type,
    sK30: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_102,type,
    sK31: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_103,type,
    sK32: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_104,type,
    sK33: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_105,type,
    sK34: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_106,type,
    sK35: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_107,type,
    sK36: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_108,type,
    sK37: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_109,type,
    sK38: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_110,type,
    sK39: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_111,type,
    sK40: 'Nat_int_fun$' > 'Nat$' ).

tff(func_def_112,type,
    sK41: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_set$' ).

tff(func_def_113,type,
    sK42: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).

tff(func_def_114,type,
    sK43: 'A_ltln_a_ltln_bool_fun_fun$' > 'A_ltln$' ).

tff(func_def_115,type,
    sK44: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_116,type,
    sK45: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'Nat$' ).

tff(func_def_117,type,
    sK46: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_118,type,
    sK47: ( 'A_ltln$' * 'A_ltln_set$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).

tff(func_def_119,type,
    sK48: 'Nat$' > 'Nat$' ).

tff(func_def_120,type,
    sK49: 'A_ltln_a_ltln_fun$' > 'A_ltln$' ).

tff(func_def_121,type,
    sK50: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_122,type,
    sK51: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_123,type,
    sK52: 'A_ltln_a_ltln_fun$' > 'A_ltln_set$' ).

tff(func_def_124,type,
    sK53: 'A_ltln_a_ltln_fun$' > 'A_ltln$' ).

tff(func_def_125,type,
    sK54: 'A_ltln_a_ltln_fun$' > 'Nat_a_set_fun$' ).

tff(func_def_126,type,
    sK55: 'A_ltln_a_ltln_fun$' > 'A_ltln$' ).

tff(func_def_127,type,
    sK56: 'A_ltln_a_ltln_fun$' > 'A_ltln_set$' ).

tff(func_def_128,type,
    sK57: 'A_ltln_a_ltln_fun$' > 'Nat_a_set_fun$' ).

tff(func_def_129,type,
    sK58: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > 'A_ltln$' ).

tff(func_def_130,type,
    sK59: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > 'A_ltln$' ).

tff(func_def_131,type,
    sK60: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > 'A_ltln_set$' ).

tff(func_def_132,type,
    sK61: ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > 'A_ltln$' ).

tff(func_def_133,type,
    sK62: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_134,type,
    sK63: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_135,type,
    sK64: 'Nat$' > 'Nat$' ).

tff(func_def_136,type,
    sK65: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_137,type,
    sK66: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_138,type,
    sK67: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_139,type,
    sK68: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).

tff(func_def_140,type,
    sK69: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_141,type,
    sK70: ( 'Nat$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_142,type,
    sK71: 'Nat_num_fun$' > 'Nat$' ).

tff(func_def_143,type,
    sK72: 'Nat$' > 'Nat$' ).

tff(pred_def_1,type,
    'fun_app$b': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun$' ) > $o ).

tff(pred_def_2,type,
    'idx_sequence$': 'Nat_nat_fun$' > $o ).

tff(pred_def_3,type,
    'fun_app$l': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).

tff(pred_def_4,type,
    'fun_app$c': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).

tff(pred_def_5,type,
    'member$': ( 'Nat_a_set_fun$' * 'Nat_a_set_fun_set$' ) > $o ).

tff(pred_def_6,type,
    'fun_app$d': ( 'Bool_bool_fun$' * tlbool ) > $o ).

tff(pred_def_7,type,
    'fun_app$': ( 'Int_bool_fun$' * $int ) > $o ).

tff(pred_def_8,type,
    'gF_advice_congruent$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).

tff(pred_def_9,type,
    'fun_app$o': ( 'Num_bool_fun$' * 'Num$' ) > $o ).

tff(pred_def_10,type,
    'gF_advice_congruent_axioms$': ( 'A_ltln_a_ltln_bool_fun_fun$' * 'A_ltln_a_ltln_fun$' ) > $o ).

tff(pred_def_11,type,
    'semantics_ltln$': ( 'Nat_a_set_fun$' * 'A_ltln$' ) > $o ).

tff(pred_def_12,type,
    'af_congruent_axioms$': 'A_ltln_a_ltln_bool_fun_fun$' > $o ).

tff(pred_def_15,type,
    sP0: ( 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_16,type,
    sP1: ( 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_17,type,
    sP2: ( 'Nat$' * 'Nat_bool_fun$' ) > $o ).

tff(pred_def_18,type,
    sP3: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_19,type,
    sP4: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_20,type,
    sP5: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_21,type,
    sP6: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_22,type,
    sP7: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_23,type,
    sP8: ( 'Nat$' * 'Nat$' * 'Nat$' ) > $o ).

tff(pred_def_24,type,
    sP9: ( 'Nat$' * 'Nat$' ) > $o ).

tff(f4136,plain,
    $false,
    inference(resolution,[],[f4135,f2734]) ).

tff(f2734,plain,
    'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('next_ltln$','phi$'),'x$')),
    inference(backward_demodulation,[],[f2214,f1788]) ).

tff(f1788,plain,
    ! [X0: 'A_ltln$'] : ( 'fun_app$i'('next_ltln$',X0) = 'fun_app$i'('unf$','fun_app$i'('next_ltln$',X0)) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,axiom,
    ! [X0: 'A_ltln$'] : ( 'fun_app$i'('next_ltln$',X0) = 'fun_app$i'('unf$','fun_app$i'('next_ltln$',X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom21) ).

tff(f2214,plain,
    'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('unf$','fun_app$i'('next_ltln$','phi$')),'x$')),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,axiom,
    'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('unf$','fun_app$i'('next_ltln$','phi$')),'x$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom12) ).

tff(f4135,plain,
    ~ 'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('next_ltln$','phi$'),'x$')),
    inference(forward_demodulation,[],[f4132,f2439]) ).

tff(f2439,plain,
    ! [X0: 'A_ltln_set$',X1: 'A_ltln$'] : ( 'gF_advice$'('fun_app$i'('next_ltln$',X1),X0) = 'fun_app$i'('next_ltln$','gF_advice$'(X1,X0)) ),
    inference(cnf_transformation,[],[f715]) ).

tff(f715,plain,
    ! [X0: 'A_ltln_set$',X1: 'A_ltln$'] : ( 'gF_advice$'('fun_app$i'('next_ltln$',X1),X0) = 'fun_app$i'('next_ltln$','gF_advice$'(X1,X0)) ),
    inference(rectify,[],[f20]) ).

tff(f20,axiom,
    ! [X1: 'A_ltln_set$',X0: 'A_ltln$'] : ( 'gF_advice$'('fun_app$i'('next_ltln$',X0),X1) = 'fun_app$i'('next_ltln$','gF_advice$'(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom18) ).

tff(f4132,plain,
    ~ 'semantics_ltln$'('w$','fun_app$i'('next_ltln$','gF_advice$'('phi$','x$'))),
    inference(resolution,[],[f1891,f2764]) ).

tff(f2764,plain,
    ~ 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('phi$','x$')),
    inference(forward_demodulation,[],[f1887,f2298]) ).

tff(f2298,plain,
    ! [X0: 'A_ltln$',X1: 'A_set$'] : ( 'fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X0)),X1) = X0 ),
    inference(cnf_transformation,[],[f1497]) ).

tff(f1497,plain,
    ! [X0: 'A_ltln$',X1: 'A_set$'] : ( 'fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X0)),X1) = X0 ),
    inference(rectify,[],[f873]) ).

tff(f873,plain,
    ! [X1: 'A_ltln$',X0: 'A_set$'] : ( 'fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X1)),X0) = X1 ),
    inference(rectify,[],[f21]) ).

tff(f21,axiom,
    ! [X1: 'A_set$',X0: 'A_ltln$'] : ( 'fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X0)),X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom19) ).

tff(f1887,plain,
    ~ 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$')),
    inference(cnf_transformation,[],[f875]) ).

tff(f875,plain,
    ~ 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$')),
    inference(flattening,[],[f13]) ).

tff(f13,negated_conjecture,
    ~ 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$')),
    inference(negated_conjecture,[],[f12]) ).

tff(f12,conjecture,
    'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture11) ).

tff(f1891,plain,
    ! [X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] :
      ( 'semantics_ltln$'('suffix$'('nat$'(1),X0),X1)
      | ~ 'semantics_ltln$'(X0,'fun_app$i'('next_ltln$',X1)) ),
    inference(cnf_transformation,[],[f1292]) ).

tff(f1292,plain,
    ! [X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] :
      ( ( 'semantics_ltln$'(X0,'fun_app$i'('next_ltln$',X1))
        | ~ 'semantics_ltln$'('suffix$'('nat$'(1),X0),X1) )
      & ( 'semantics_ltln$'('suffix$'('nat$'(1),X0),X1)
        | ~ 'semantics_ltln$'(X0,'fun_app$i'('next_ltln$',X1)) ) ),
    inference(nnf_transformation,[],[f17]) ).

tff(f17,axiom,
    ! [X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] :
      ( 'semantics_ltln$'(X0,'fun_app$i'('next_ltln$',X1))
    <=> 'semantics_ltln$'('suffix$'('nat$'(1),X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:22:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (14598)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)
% 0.20/0.54  % (14602)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)
% 0.20/0.54  % (14616)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)
% 0.20/0.54  % (14596)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)
% 1.28/0.55  % (14608)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.28/0.55  % (14619)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)
% 1.28/0.55  % (14617)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.28/0.55  % (14600)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.55  % (14611)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)
% 1.28/0.55  % (14610)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)
% 1.28/0.55  % (14597)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)
% 1.28/0.56  % (14606)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.56  % (14603)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.28/0.56  % (14599)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)
% 1.28/0.56  % (14624)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)
% 1.28/0.56  % (14614)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.28/0.56  % (14601)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)
% 1.28/0.56  % (14626)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)
% 1.28/0.57  % (14618)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)
% 1.28/0.57  % (14607)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)
% 1.42/0.57  % (14622)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.42/0.57  % (14623)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)
% 1.42/0.57  % (14613)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.57  % (14598)Instruction limit reached!
% 1.42/0.57  % (14598)------------------------------
% 1.42/0.57  % (14598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (14625)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.57  % (14615)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)
% 1.42/0.57  % (14603)Instruction limit reached!
% 1.42/0.57  % (14603)------------------------------
% 1.42/0.57  % (14603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (14603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (14603)Termination reason: Unknown
% 1.42/0.57  % (14603)Termination phase: Property scanning
% 1.42/0.57  
% 1.42/0.57  % (14603)Memory used [KB]: 1407
% 1.42/0.57  % (14603)Time elapsed: 0.008 s
% 1.42/0.57  % (14603)Instructions burned: 8 (million)
% 1.42/0.57  % (14603)------------------------------
% 1.42/0.57  % (14603)------------------------------
% 1.42/0.57  % (14604)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.58  % (14612)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)
% 1.42/0.58  % (14620)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.58  % (14609)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.58  % (14605)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)
% 1.42/0.58  % (14602)Instruction limit reached!
% 1.42/0.58  % (14602)------------------------------
% 1.42/0.58  % (14602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58  % (14604)Instruction limit reached!
% 1.42/0.58  % (14604)------------------------------
% 1.42/0.58  % (14604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58  % (14604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58  % (14604)Termination reason: Unknown
% 1.42/0.58  % (14604)Termination phase: shuffling
% 1.42/0.58  
% 1.42/0.58  % (14604)Memory used [KB]: 1407
% 1.42/0.58  % (14604)Time elapsed: 0.003 s
% 1.42/0.58  % (14604)Instructions burned: 3 (million)
% 1.42/0.58  % (14604)------------------------------
% 1.42/0.58  % (14604)------------------------------
% 1.42/0.59  % (14598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.59  % (14598)Termination reason: Unknown
% 1.42/0.59  % (14598)Termination phase: shuffling
% 1.42/0.59  
% 1.42/0.59  % (14598)Memory used [KB]: 1791
% 1.42/0.59  % (14598)Time elapsed: 0.019 s
% 1.42/0.59  % (14598)Instructions burned: 38 (million)
% 1.42/0.59  % (14598)------------------------------
% 1.42/0.59  % (14598)------------------------------
% 1.42/0.60  % (14602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.60  % (14602)Termination reason: Unknown
% 1.42/0.60  % (14602)Termination phase: Property scanning
% 1.42/0.60  
% 1.42/0.60  % (14602)Memory used [KB]: 2430
% 1.42/0.60  % (14602)Time elapsed: 0.022 s
% 1.42/0.60  % (14602)Instructions burned: 53 (million)
% 1.42/0.60  % (14602)------------------------------
% 1.42/0.60  % (14602)------------------------------
% 1.42/0.61  % (14610)Instruction limit reached!
% 1.42/0.61  % (14610)------------------------------
% 1.42/0.61  % (14610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.61  % (14610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.61  % (14610)Termination reason: Unknown
% 1.42/0.61  % (14610)Termination phase: Property scanning
% 1.42/0.61  
% 1.42/0.61  % (14610)Memory used [KB]: 2686
% 1.42/0.61  % (14610)Time elapsed: 0.030 s
% 1.42/0.61  % (14610)Instructions burned: 68 (million)
% 1.42/0.61  % (14610)------------------------------
% 1.42/0.61  % (14610)------------------------------
% 1.42/0.61  % (14600)Instruction limit reached!
% 1.42/0.61  % (14600)------------------------------
% 1.42/0.61  % (14600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.61  % (14600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.61  % (14600)Termination reason: Unknown
% 1.42/0.61  % (14600)Termination phase: Property scanning
% 1.42/0.61  
% 1.42/0.61  % (14600)Memory used [KB]: 2430
% 1.42/0.61  % (14600)Time elapsed: 0.023 s
% 1.42/0.61  % (14600)Instructions burned: 54 (million)
% 1.42/0.61  % (14600)------------------------------
% 1.42/0.61  % (14600)------------------------------
% 1.42/0.61  % (14606)Instruction limit reached!
% 1.42/0.61  % (14606)------------------------------
% 1.42/0.61  % (14606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.61  % (14606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.61  % (14606)Termination reason: Unknown
% 1.42/0.61  % (14606)Termination phase: Property scanning
% 1.42/0.61  
% 1.42/0.61  % (14606)Memory used [KB]: 2430
% 1.42/0.61  % (14606)Time elapsed: 0.028 s
% 1.42/0.61  % (14606)Instructions burned: 51 (million)
% 1.42/0.61  % (14606)------------------------------
% 1.42/0.61  % (14606)------------------------------
% 1.42/0.62  % (14601)Instruction limit reached!
% 1.42/0.62  % (14601)------------------------------
% 1.42/0.62  % (14601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.62  % (14601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.62  % (14601)Termination reason: Unknown
% 1.42/0.62  % (14601)Termination phase: Property scanning
% 1.42/0.62  
% 1.42/0.62  % (14601)Memory used [KB]: 2430
% 1.42/0.62  % (14601)Time elapsed: 0.021 s
% 1.42/0.62  % (14601)Instructions burned: 48 (million)
% 1.42/0.62  % (14601)------------------------------
% 1.42/0.62  % (14601)------------------------------
% 1.89/0.63  % (14597)Instruction limit reached!
% 1.89/0.63  % (14597)------------------------------
% 1.89/0.63  % (14597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63  % (14597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63  % (14597)Termination reason: Unknown
% 1.89/0.63  % (14597)Termination phase: Property scanning
% 1.89/0.63  
% 1.89/0.63  % (14597)Memory used [KB]: 2430
% 1.89/0.63  % (14597)Time elapsed: 0.022 s
% 1.89/0.63  % (14597)Instructions burned: 51 (million)
% 1.89/0.63  % (14597)------------------------------
% 1.89/0.63  % (14597)------------------------------
% 1.89/0.63  % (14599)Instruction limit reached!
% 1.89/0.63  % (14599)------------------------------
% 1.89/0.63  % (14599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63  % (14599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63  % (14599)Termination reason: Unknown
% 1.89/0.63  % (14599)Termination phase: Property scanning
% 1.89/0.63  
% 1.89/0.63  % (14599)Memory used [KB]: 2302
% 1.89/0.63  % (14599)Time elapsed: 0.022 s
% 1.89/0.63  % (14599)Instructions burned: 52 (million)
% 1.89/0.63  % (14599)------------------------------
% 1.89/0.63  % (14599)------------------------------
% 1.89/0.64  % (14613)Instruction limit reached!
% 1.89/0.64  % (14613)------------------------------
% 1.89/0.64  % (14613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.64  % (14613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.64  % (14613)Termination reason: Unknown
% 1.89/0.64  % (14613)Termination phase: Property scanning
% 1.89/0.64  
% 1.89/0.64  % (14613)Memory used [KB]: 2430
% 1.89/0.64  % (14613)Time elapsed: 0.024 s
% 1.89/0.64  % (14613)Instructions burned: 59 (million)
% 1.89/0.64  % (14613)------------------------------
% 1.89/0.64  % (14613)------------------------------
% 1.89/0.64  % (14605)Instruction limit reached!
% 1.89/0.64  % (14605)------------------------------
% 1.89/0.64  % (14605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.64  % (14605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.64  % (14605)Termination reason: Unknown
% 1.89/0.64  % (14605)Termination phase: Property scanning
% 1.89/0.64  
% 1.89/0.64  % (14605)Memory used [KB]: 2430
% 1.89/0.64  % (14605)Time elapsed: 0.022 s
% 1.89/0.64  % (14605)Instructions burned: 52 (million)
% 1.89/0.64  % (14605)------------------------------
% 1.89/0.64  % (14605)------------------------------
% 1.89/0.65  % (14611)Instruction limit reached!
% 1.89/0.65  % (14611)------------------------------
% 1.89/0.65  % (14611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.65  % (14611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.65  % (14611)Termination reason: Unknown
% 1.89/0.65  % (14611)Termination phase: Property scanning
% 1.89/0.65  
% 1.89/0.65  % (14611)Memory used [KB]: 2430
% 1.89/0.65  % (14611)Time elapsed: 0.043 s
% 1.89/0.65  % (14611)Instructions burned: 76 (million)
% 1.89/0.65  % (14611)------------------------------
% 1.89/0.65  % (14611)------------------------------
% 2.13/0.66  % (14623)Instruction limit reached!
% 2.13/0.66  % (14623)------------------------------
% 2.13/0.66  % (14623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.66  % (14623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.66  % (14623)Termination reason: Unknown
% 2.13/0.66  % (14623)Termination phase: Property scanning
% 2.13/0.66  
% 2.13/0.66  % (14623)Memory used [KB]: 2814
% 2.13/0.66  % (14623)Time elapsed: 0.028 s
% 2.13/0.66  % (14623)Instructions burned: 69 (million)
% 2.13/0.66  % (14623)------------------------------
% 2.13/0.66  % (14623)------------------------------
% 2.13/0.68  % (14596)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.13/0.68  % (14596)Terminated due to inappropriate strategy.
% 2.13/0.68  % (14596)------------------------------
% 2.13/0.68  % (14596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68  % (14596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68  % (14596)Termination reason: Inappropriate
% 2.13/0.68  
% 2.13/0.68  % (14596)Memory used [KB]: 2686
% 2.13/0.68  % (14596)Time elapsed: 0.039 s
% 2.13/0.68  % (14596)Instructions burned: 99 (million)
% 2.13/0.68  % (14596)------------------------------
% 2.13/0.68  % (14596)------------------------------
% 2.13/0.68  % (14614)Instruction limit reached!
% 2.13/0.68  % (14614)------------------------------
% 2.13/0.68  % (14614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68  % (14614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68  % (14614)Termination reason: Unknown
% 2.13/0.68  % (14614)Termination phase: Saturation
% 2.13/0.68  
% 2.13/0.68  % (14614)Memory used [KB]: 7164
% 2.13/0.68  % (14614)Time elapsed: 0.040 s
% 2.13/0.68  % (14614)Instructions burned: 100 (million)
% 2.13/0.68  % (14614)------------------------------
% 2.13/0.68  % (14614)------------------------------
% 2.13/0.69  % (14705)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)
% 2.13/0.69  % (14607)Instruction limit reached!
% 2.13/0.69  % (14607)------------------------------
% 2.13/0.69  % (14607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.69  % (14607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.69  % (14607)Termination reason: Unknown
% 2.13/0.69  % (14607)Termination phase: Saturation
% 2.13/0.69  
% 2.13/0.69  % (14607)Memory used [KB]: 7164
% 2.13/0.69  % (14607)Time elapsed: 0.041 s
% 2.13/0.69  % (14607)Instructions burned: 100 (million)
% 2.13/0.69  % (14607)------------------------------
% 2.13/0.69  % (14607)------------------------------
% 2.13/0.70  % (14609)Instruction limit reached!
% 2.13/0.70  % (14609)------------------------------
% 2.13/0.70  % (14609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.70  % (14608)Instruction limit reached!
% 2.13/0.70  % (14608)------------------------------
% 2.13/0.70  % (14608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.70  % (14608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.70  % (14608)Termination reason: Unknown
% 2.13/0.70  % (14608)Termination phase: Saturation
% 2.13/0.70  
% 2.13/0.70  % (14608)Memory used [KB]: 7164
% 2.13/0.70  % (14608)Time elapsed: 0.041 s
% 2.13/0.70  % (14608)Instructions burned: 101 (million)
% 2.13/0.70  % (14608)------------------------------
% 2.13/0.70  % (14608)------------------------------
% 2.13/0.70  % (14609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.70  % (14609)Termination reason: Unknown
% 2.13/0.70  % (14609)Termination phase: Saturation
% 2.13/0.70  
% 2.13/0.70  % (14609)Memory used [KB]: 7164
% 2.13/0.70  % (14609)Time elapsed: 0.042 s
% 2.13/0.70  % (14609)Instructions burned: 101 (million)
% 2.13/0.70  % (14609)------------------------------
% 2.13/0.70  % (14609)------------------------------
% 2.13/0.70  % (14612)Instruction limit reached!
% 2.13/0.70  % (14612)------------------------------
% 2.13/0.70  % (14612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.70  % (14612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.70  % (14612)Termination reason: Unknown
% 2.13/0.70  % (14612)Termination phase: Saturation
% 2.13/0.70  
% 2.13/0.70  % (14612)Memory used [KB]: 7036
% 2.13/0.70  % (14612)Time elapsed: 0.041 s
% 2.13/0.70  % (14612)Instructions burned: 100 (million)
% 2.13/0.70  % (14612)------------------------------
% 2.13/0.70  % (14612)------------------------------
% 2.13/0.71  % (14615)Instruction limit reached!
% 2.13/0.71  % (14615)------------------------------
% 2.13/0.71  % (14615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.71  % (14615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.71  % (14615)Termination reason: Unknown
% 2.13/0.71  % (14615)Termination phase: Saturation
% 2.13/0.71  
% 2.13/0.71  % (14615)Memory used [KB]: 2686
% 2.13/0.71  % (14615)Time elapsed: 0.041 s
% 2.13/0.71  % (14615)Instructions burned: 100 (million)
% 2.13/0.71  % (14615)------------------------------
% 2.13/0.71  % (14615)------------------------------
% 2.13/0.71  % (14708)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 (2997ds/211Mi)
% 2.13/0.72  % (14718)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.13/0.73  % (14720)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.13/0.73  % (14713)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 (2997ds/90Mi)
% 2.42/0.74  % (14616)Instruction limit reached!
% 2.42/0.74  % (14616)------------------------------
% 2.42/0.74  % (14616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.74  % (14724)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 (2997ds/655Mi)
% 2.42/0.75  % (14730)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 (2997ds/940Mi)
% 2.42/0.75  % (14722)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 (2997ds/747Mi)
% 2.42/0.75  % (14726)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 (2997ds/68Mi)
% 2.42/0.76  % (14617)Instruction limit reached!
% 2.42/0.76  % (14617)------------------------------
% 2.42/0.76  % (14617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.76  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.42/0.76  % (14616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.76  % (14616)Termination reason: Unknown
% 2.42/0.76  % (14616)Termination phase: Saturation
% 2.42/0.76  
% 2.42/0.76  % (14616)Memory used [KB]: 7803
% 2.42/0.76  % (14616)Time elapsed: 0.114 s
% 2.42/0.76  % (14616)Instructions burned: 176 (million)
% 2.42/0.76  % (14616)------------------------------
% 2.42/0.76  % (14616)------------------------------
% 2.42/0.76  % (14617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.76  % (14617)Termination reason: Unknown
% 2.42/0.76  % (14617)Termination phase: Saturation
% 2.42/0.76  
% 2.42/0.76  % (14617)Memory used [KB]: 7547
% 2.42/0.76  % (14617)Time elapsed: 0.067 s
% 2.42/0.76  % (14617)Instructions burned: 139 (million)
% 2.42/0.76  % (14617)------------------------------
% 2.42/0.76  % (14617)------------------------------
% 2.52/0.77  % (14731)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 (2997ds/981Mi)
% 2.52/0.77  % (14733)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 (2997ds/90Mi)
% 2.52/0.79  % (14742)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.52/0.80  % (14736)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 (2997ds/2016Mi)
% 2.52/0.81  % (14743)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 (2996ds/4958Mi)
% 2.52/0.81  % (14755)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 (2996ds/4931Mi)
% 2.52/0.82  % (14626)First to succeed.
% 2.52/0.82  % (14750)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.52/0.82  % (14754)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.52/0.83  % (14626)Refutation found. Thanks to Tanya!
% 2.52/0.83  % SZS status Theorem for theBenchmark
% 2.52/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.83  % (14626)------------------------------
% 2.52/0.83  % (14626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.83  % (14626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.83  % (14626)Termination reason: Refutation
% 2.52/0.83  
% 2.52/0.83  % (14626)Memory used [KB]: 8059
% 2.52/0.83  % (14626)Time elapsed: 0.367 s
% 2.52/0.83  % (14626)Instructions burned: 175 (million)
% 2.52/0.83  % (14626)------------------------------
% 2.52/0.83  % (14626)------------------------------
% 2.52/0.83  % (14575)Success in time 0.482 s
%------------------------------------------------------------------------------