%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP353_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:41 AM UTC 2026
% Result : Theorem 5.50s 1.54s
% Output : Refutation 6.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 25 unt; 0 typ; 7 def)
% Number of atoms : 85 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 28 ~; 22 |; 3 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 72 ( 18 atm; 0 fun; 42 num; 12 var)
% Number of types : 24 ( 21 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 59 ( 55 usr; 4 prp; 0-3 aty)
% Number of functors : 146 ( 145 usr; 32 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Int_fps_int_fps_fun$': $tType ).
tff(type_def_6,type,
'Int_bool_fun$': $tType ).
tff(type_def_7,type,
'Int_fps$': $tType ).
tff(type_def_8,type,
'Real_ereal_bool_fun_fun$': $tType ).
tff(type_def_9,type,
'Nat_fps$': $tType ).
tff(type_def_10,type,
'Ereal_bool_fun$': $tType ).
tff(type_def_11,type,
'Real_fls$': $tType ).
tff(type_def_12,type,
'Nat_real_real_fun_fun$': $tType ).
tff(type_def_13,type,
'Ereal$': $tType ).
tff(type_def_14,type,
'Nat_nat_fun$': $tType ).
tff(type_def_15,type,
'Nat$': $tType ).
tff(type_def_16,type,
'Real_fps_real_fps_fun$': $tType ).
tff(type_def_17,type,
'Ereal_fps$': $tType ).
tff(type_def_18,type,
'Real_fps$': $tType ).
tff(type_def_19,type,
'Ereal_set$': $tType ).
tff(type_def_20,type,
tlbool: $tType ).
tff(type_def_21,type,
'Real_list$': $tType ).
tff(type_def_22,type,
'Real_real_fun$': $tType ).
tff(type_def_23,type,
'Nat_real_fun$': $tType ).
tff(type_def_24,type,
'Nat_bool_fun$': $tType ).
tff(type_def_25,type,
'Real_bool_fun$': $tType ).
tff(func_def_0,type,
'max$': ( 'Ereal$' * 'Ereal$' ) > 'Ereal$' ).
tff(func_def_1,type,
'max$a': $real > 'Real_real_fun$' ).
tff(func_def_2,type,
'zero$b': 'Real_fps$' ).
tff(func_def_3,type,
'fun_app$i': ( 'Real_fps_real_fps_fun$' * 'Real_fps$' ) > 'Real_fps$' ).
tff(func_def_4,type,
'times$b': ( 'Ereal_fps$' * 'Ereal_fps$' ) > 'Ereal_fps$' ).
tff(func_def_5,type,
'inverse$c': 'Real_fps$' > 'Real_fps$' ).
tff(func_def_6,type,
'one$e': 'Real_fls$' ).
tff(func_def_7,type,
'fps_nth$a': ( 'Ereal_fps$' * 'Nat$' ) > 'Ereal$' ).
tff(func_def_8,type,
'less$': 'Ereal$' > 'Ereal_bool_fun$' ).
tff(func_def_9,type,
'max$b': ( $int * $int ) > $int ).
tff(func_def_10,type,
'times$g': ( 'Real_fps$' * 'Real_fps$' ) > 'Real_fps$' ).
tff(func_def_11,type,
'fun_app$f': ( 'Nat_real_fun$' * 'Nat$' ) > $real ).
tff(func_def_12,type,
'c$a': $real ).
tff(func_def_13,type,
'fun_app$d': ( 'Real_ereal_bool_fun_fun$' * $real ) > 'Ereal_bool_fun$' ).
tff(func_def_14,type,
'size_ereal$': 'Ereal$' > 'Nat$' ).
tff(func_def_15,type,
'uua$': $real > 'Real_bool_fun$' ).
tff(func_def_16,type,
'n$': 'Nat$' ).
tff(func_def_17,type,
'u$': $real ).
tff(func_def_18,type,
'zero$a': 'Real_fls$' ).
tff(func_def_19,type,
'uu$': 'Ereal_set$' > 'Ereal_bool_fun$' ).
tff(func_def_20,type,
'zero$e': 'Nat$' ).
tff(func_def_21,type,
'fps_cutoff$': ( 'Nat$' * 'Ereal_fps$' ) > 'Ereal_fps$' ).
tff(func_def_22,type,
'fps_XD$': 'Int_fps_int_fps_fun$' ).
tff(func_def_23,type,
'fps_tan$': $real > 'Real_fps$' ).
tff(func_def_24,type,
'one$d': 'Int_fps$' ).
tff(func_def_25,type,
'ereal$': $real > 'Ereal$' ).
tff(func_def_26,type,
'of_nat$': 'Nat$' > $int ).
tff(func_def_27,type,
'times$f': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_28,type,
'c$': $real ).
tff(func_def_29,type,
'zero$d': 'Int_fps$' ).
tff(func_def_30,type,
'less_eq$': 'Ereal$' > 'Ereal_bool_fun$' ).
tff(func_def_31,type,
'uminus$': 'Ereal$' > 'Ereal$' ).
tff(func_def_32,type,
'fps_ln$': $real > 'Real_fps$' ).
tff(func_def_33,type,
'times$d': ( $int * $int ) > $int ).
tff(func_def_34,type,
'collect$': 'Ereal_bool_fun$' > 'Ereal_set$' ).
tff(func_def_35,type,
'zero$c': 'Ereal_fps$' ).
tff(func_def_36,type,
'fps_nth$c': ( 'Nat_fps$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_37,type,
tltrue: tlbool ).
tff(func_def_38,type,
'times$c': ( 'Int_fps$' * 'Int_fps$' ) > 'Int_fps$' ).
tff(func_def_39,type,
'infinity$': 'Ereal$' ).
tff(func_def_40,type,
'fps_Lambert_W$': 'Real_fps$' ).
tff(func_def_41,type,
'uub$': $int > 'Int_bool_fun$' ).
tff(func_def_42,type,
'one$b': 'Nat$' ).
tff(func_def_43,type,
'inverse$a': 'Ereal$' > 'Ereal$' ).
tff(func_def_44,type,
'times$': ( 'Ereal$' * 'Ereal$' ) > 'Ereal$' ).
tff(func_def_45,type,
'fps_cutoff$a': ( 'Nat$' * 'Int_fps$' ) > 'Int_fps$' ).
tff(func_def_46,type,
'fps_cutoff$b': ( 'Nat$' * 'Real_fps$' ) > 'Real_fps$' ).
tff(func_def_47,type,
'radical$': ( 'Nat_real_real_fun_fun$' * 'Nat$' * 'Real_fps$' ) > 'Nat_real_fun$' ).
tff(func_def_48,type,
'fps_XDp$': $real > 'Real_fps_real_fps_fun$' ).
tff(func_def_49,type,
'uminus$a': 'Ereal_fps$' > 'Ereal_fps$' ).
tff(func_def_50,type,
'c$b': 'Ereal$' ).
tff(func_def_51,type,
'fps_deriv$': 'Real_fps$' > 'Real_fps$' ).
tff(func_def_52,type,
'fps_XD$a': 'Real_fps_real_fps_fun$' ).
tff(func_def_53,type,
'inverse$d': 'Ereal_fps$' > 'Ereal_fps$' ).
tff(func_def_54,type,
'times$e': ( 'Nat_fps$' * 'Nat_fps$' ) > 'Nat_fps$' ).
tff(func_def_55,type,
'fps_nth$b': ( 'Int_fps$' * 'Nat$' ) > $int ).
tff(func_def_56,type,
'times$a': $real > 'Real_real_fun$' ).
tff(func_def_57,type,
'inverse$': 'Real_real_fun$' ).
tff(func_def_58,type,
'fun_app$h': ( 'Int_fps_int_fps_fun$' * 'Int_fps$' ) > 'Int_fps$' ).
tff(func_def_59,type,
'less_eq$a': 'Nat$' > 'Nat_bool_fun$' ).
tff(func_def_60,type,
tlfalse: tlbool ).
tff(func_def_61,type,
'nat$': $int > 'Nat$' ).
tff(func_def_62,type,
'fps_XDp$a': $int > 'Int_fps_int_fps_fun$' ).
tff(func_def_63,type,
'fun_app$c': ( 'Real_real_fun$' * $real ) > $real ).
tff(func_def_64,type,
'fps_nth$': 'Real_fps$' > 'Nat_real_fun$' ).
tff(func_def_65,type,
'less$a': 'Nat$' > 'Nat_bool_fun$' ).
tff(func_def_66,type,
'fun_app$g': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_67,type,
'l$': $real ).
tff(func_def_68,type,
'inverse$b': 'Real_fls$' > 'Real_fls$' ).
tff(func_def_69,type,
'uminus$b': 'Real_fps$' > 'Real_fps$' ).
tff(func_def_70,type,
'fps_hypergeo$': ( 'Real_list$' * 'Real_list$' * $real ) > 'Real_fps$' ).
tff(func_def_71,type,
'one$c': 'Ereal_fps$' ).
tff(func_def_72,type,
'fps_inv$': 'Real_fps$' > 'Real_fps$' ).
tff(func_def_73,type,
'one$': 'Real_fps$' ).
tff(func_def_74,type,
'one$a': 'Ereal$' ).
tff(func_def_75,type,
'zero$': 'Ereal$' ).
tff(func_def_84,type,
sK47: ( 'Ereal$' * $real ) > $real ).
tff(func_def_85,type,
sK48: 'Ereal$' > $real ).
tff(func_def_86,type,
sK49: ( 'Ereal$' * 'Ereal$' ) > 'Ereal$' ).
tff(func_def_87,type,
sK50: 'Ereal_bool_fun$' > $real ).
tff(func_def_88,type,
sK51: 'Ereal_bool_fun$' > 'Ereal$' ).
tff(func_def_89,type,
sK52: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_90,type,
sK53: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_91,type,
sK54: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_92,type,
sK55: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_93,type,
sK56: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_94,type,
sK57: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_95,type,
sK58: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_96,type,
sK59: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_97,type,
sK60: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_98,type,
sK61: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_99,type,
sK62: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_100,type,
sK63: 'Ereal$' > $real ).
tff(func_def_101,type,
sK64: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_102,type,
sK65: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_103,type,
sK66: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_104,type,
sK67: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_105,type,
sK68: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_106,type,
sK69: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_107,type,
sK70: $real ).
tff(func_def_108,type,
sK71: $real > $real ).
tff(func_def_109,type,
sK72: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_110,type,
sK73: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_111,type,
sK74: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_112,type,
sK75: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_113,type,
sK76: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_114,type,
sK77: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_115,type,
sK78: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_116,type,
sK79: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_117,type,
sK80: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_118,type,
sK81: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_119,type,
sK82: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_120,type,
sK83: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_121,type,
sK84: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_122,type,
sK85: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_123,type,
sK86: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_124,type,
sK87: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_125,type,
sK88: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_126,type,
sK89: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_127,type,
sK90: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_128,type,
sK91: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_129,type,
sK92: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_130,type,
sK93: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_131,type,
sK94: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_132,type,
sK95: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_133,type,
sK96: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_134,type,
sK97: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_135,type,
sK98: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_136,type,
sK99: 'Ereal$' > $real ).
tff(func_def_137,type,
sK100: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_138,type,
sK101: 'Ereal$' > $real ).
tff(func_def_139,type,
sK102: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_140,type,
sK103: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_141,type,
sK104: ( 'Ereal$' * 'Ereal$' ) > 'Ereal$' ).
tff(func_def_142,type,
sK105: ( 'Ereal$' * 'Ereal$' ) > 'Ereal$' ).
tff(func_def_143,type,
sK106: 'Ereal_bool_fun$' > $real ).
tff(func_def_144,type,
sK107: 'Ereal_bool_fun$' > 'Ereal$' ).
tff(func_def_145,type,
sK108: ( $real * $real ) > $real ).
tff(func_def_146,type,
sK109: $real ).
tff(func_def_147,type,
sK110: $real > $real ).
tff(func_def_148,type,
sK111: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_149,type,
sF112: $real ).
tff(func_def_150,type,
sF113: 'Ereal$' ).
tff(func_def_151,type,
sF114: 'Ereal$' ).
tff(func_def_152,type,
sF115: 'Ereal$' ).
tff(pred_def_1,type,
'fun_app$e': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_2,type,
'fun_app$a': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_3,type,
'fun_app$': ( 'Real_bool_fun$' * $real ) > $o ).
tff(pred_def_4,type,
'member$': ( 'Ereal$' * 'Ereal_set$' ) > $o ).
tff(pred_def_5,type,
'fun_app$b': ( 'Ereal_bool_fun$' * 'Ereal$' ) > $o ).
tff(pred_def_10,type,
sP0: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_11,type,
sP1: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_12,type,
sP2: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_13,type,
sP3: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_14,type,
sP4: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_15,type,
sP5: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_16,type,
sP6: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_17,type,
sP7: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_18,type,
sP8: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_19,type,
sP9: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_20,type,
sP10: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_21,type,
sP11: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_22,type,
sP12: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_23,type,
sP13: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_24,type,
sP14: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_25,type,
sP15: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_26,type,
sP16: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_27,type,
sP17: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_28,type,
sP18: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_29,type,
sP19: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_30,type,
sP20: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_31,type,
sP21: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_32,type,
sP22: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_33,type,
sP23: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_34,type,
sP24: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_35,type,
sP25: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_36,type,
sP26: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_37,type,
sP27: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_38,type,
sP28: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_39,type,
sP29: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_40,type,
sP30: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_41,type,
sP31: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_42,type,
sP32: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_43,type,
sP33: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_44,type,
sP34: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_45,type,
sP35: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_46,type,
sP36: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_47,type,
sP37: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_48,type,
sP38: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_49,type,
sP39: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_50,type,
sP40: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_51,type,
sP41: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_52,type,
sP42: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_53,type,
sP43: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_54,type,
sP44: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_55,type,
sP45: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_56,type,
sP46: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(f4,conjecture,
'ereal$'('fun_app$c'('inverse$','c$')) = 'inverse$a'('ereal$'('c$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture3) ).
tff(f5,negated_conjecture,
( ( ~ 'ereal$'('fun_app$c'('inverse$','c$')) ) = 'inverse$a'('ereal$'('c$')) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f7,axiom,
$less(0/1,'c$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom5) ).
tff(f13,axiom,
! [X0: $real] : ( 'fun_app$c'('inverse$','fun_app$c'('inverse$',X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom11) ).
tff(f21,axiom,
! [X0: $real] :
( ( ( X0 != 0/1 )
=> ( 'inverse$a'('ereal$'(X0)) = 'ereal$'('fun_app$c'('inverse$',X0)) ) )
& ( ( X0 = 0/1 )
=> ( 'inverse$a'('ereal$'(X0)) = 'infinity$' ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom19) ).
tff(f60,axiom,
! [X0: $real] :
( ( X0 != 0/1 )
=> ( 'fun_app$c'('inverse$',X0) != 0/1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom58) ).
tff(f563,axiom,
! [X0: $real] :
( $lesseq(X0,0/1)
<=> $lesseq('fun_app$c'('inverse$',X0),0/1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom561) ).
tff(f677,plain,
! [X0: $real] :
( ~ $less(0/1,'fun_app$c'('inverse$',X0))
<=> ~ $less(0/1,X0) ),
inference(theory_normalization,[],[f563]) ).
tff(f712,plain,
'ereal$'('fun_app$c'('inverse$','c$')) != 'inverse$a'('ereal$'('c$')),
inference(flattening,[],[f5]) ).
tff(f900,plain,
! [X0: $real] :
( ( 0/1 = X0 )
| ( 'fun_app$c'('inverse$',X0) != 0/1 ) ),
inference(ennf_transformation,[],[f60]) ).
tff(f943,plain,
! [X0: $real] :
( ( ( 0/1 = X0 )
| ( 'inverse$a'('ereal$'(X0)) = 'ereal$'('fun_app$c'('inverse$',X0)) ) )
& ( ( 'inverse$a'('ereal$'(X0)) = 'infinity$' )
| ( 0/1 != X0 ) ) ),
inference(ennf_transformation,[],[f21]) ).
tff(f1137,plain,
! [X0: $real] :
( ( ~ $less(0/1,'fun_app$c'('inverse$',X0))
| $less(0/1,X0) )
& ( ~ $less(0/1,X0)
| $less(0/1,'fun_app$c'('inverse$',X0)) ) ),
inference(nnf_transformation,[],[f677]) ).
tff(f1551,plain,
$less(0/1,'c$'),
inference(cnf_transformation,[],[f7]) ).
tff(f1553,plain,
! [X0: $real] :
( $less(0/1,'fun_app$c'('inverse$',X0))
| ~ $less(0/1,X0) ),
inference(cnf_transformation,[],[f1137]) ).
tff(f1610,plain,
'ereal$'('fun_app$c'('inverse$','c$')) != 'inverse$a'('ereal$'('c$')),
inference(cnf_transformation,[],[f712]) ).
tff(f1763,plain,
! [X0: $real] :
( ( 0/1 != 'fun_app$c'('inverse$',X0) )
| ( 0/1 = X0 ) ),
inference(cnf_transformation,[],[f900]) ).
tff(f1886,plain,
! [X0: $real] :
( ( 'inverse$a'('ereal$'(X0)) = 'ereal$'('fun_app$c'('inverse$',X0)) )
| ( 0/1 = X0 ) ),
inference(cnf_transformation,[],[f943]) ).
tff(f1957,plain,
! [X0: $real] : ( 'fun_app$c'('inverse$','fun_app$c'('inverse$',X0)) = X0 ),
inference(cnf_transformation,[],[f13]) ).
tff(f2154,definition,
sF112 = 'fun_app$c'('inverse$','c$'),
introduced(definition,[new_symbols(definition,[sF112])],[function_definition]) ).
tff(f2155,plain,
'fun_app$c'('inverse$','c$') = sF112,
inference(reorient_equations,[],[f2154]) ).
tff(f2156,definition,
sF113 = 'ereal$'(sF112),
introduced(definition,[new_symbols(definition,[sF113])],[function_definition]) ).
tff(f2157,definition,
sF114 = 'ereal$'('c$'),
introduced(definition,[new_symbols(definition,[sF114])],[function_definition]) ).
tff(f2158,plain,
'ereal$'('c$') = sF114,
inference(reorient_equations,[],[f2157]) ).
tff(f2159,definition,
sF115 = 'inverse$a'(sF114),
introduced(definition,[new_symbols(definition,[sF115])],[function_definition]) ).
tff(f2160,plain,
sF115 != sF113,
inference(definition_folding,[],[f1610,f2159,f2158,f2156,f2155]) ).
tff(f2399,definition,
( spl116_8
<=> ( 0/1 = sF112 ) ),
introduced(definition,[new_symbols(definition,[spl116_8])],[avatar_definition]) ).
tff(f2401,plain,
( ( 0/1 = sF112 )
| ~ spl116_8 ),
inference(avatar_component_clause,[],[f2399]) ).
tff(f2404,definition,
( spl116_9
<=> ( 'c$' = 0/1 ) ),
introduced(definition,[new_symbols(definition,[spl116_9])],[avatar_definition]) ).
tff(f2453,plain,
'c$' = 'fun_app$c'('inverse$',sF112),
inference(superposition,[],[f1957,f2155]) ).
tff(f2624,plain,
( $less(0/1,sF112)
| ~ $less(0/1,'c$') ),
inference(superposition,[],[f1553,f2155]) ).
tff(f2629,plain,
$less(0/1,sF112),
inference(forward_subsumption_resolution,[],[f2624,f1551]) ).
tff(f2713,plain,
( ( 'c$' != 0/1 )
| ( 0/1 = sF112 ) ),
inference(superposition,[],[f1763,f2453]) ).
tff(f2715,plain,
( ~ spl116_9
| spl116_8 ),
inference(avatar_split_clause,[],[f2713,f2399,f2404]) ).
tff(f2855,definition,
( spl116_32
<=> $less(0/1,0/1) ),
introduced(definition,[new_symbols(definition,[spl116_32])],[avatar_definition]) ).
tff(f2857,plain,
( $less(0/1,0/1)
| ~ spl116_32 ),
inference(avatar_component_clause,[],[f2855]) ).
tff(f3882,plain,
( $false
| ~ spl116_32 ),
inference(evaluation,[],[f2857]) ).
tff(f3883,plain,
~ spl116_32,
inference(avatar_contradiction_clause,[],[f3882]) ).
tff(f5376,plain,
( ( 'c$' = 0/1 )
| ( 'inverse$a'('ereal$'('c$')) = 'ereal$'(sF112) ) ),
inference(superposition,[],[f1886,f2155]) ).
tff(f5687,plain,
( ( 'c$' = 0/1 )
| ( 'inverse$a'('ereal$'('c$')) = sF113 ) ),
inference(forward_demodulation,[],[f5376,f2156]) ).
tff(f5690,plain,
( ( 'c$' = 0/1 )
| ( 'inverse$a'(sF114) = sF113 ) ),
inference(forward_demodulation,[],[f5687,f2158]) ).
tff(f5697,plain,
( ( sF115 = sF113 )
| ( 'c$' = 0/1 ) ),
inference(forward_demodulation,[],[f5690,f2159]) ).
tff(f5698,plain,
'c$' = 0/1,
inference(forward_subsumption_resolution,[],[f5697,f2160]) ).
tff(f5699,plain,
spl116_9,
inference(avatar_split_clause,[],[f5698,f2404]) ).
tff(f5780,plain,
( $less(0/1,0/1)
| ~ spl116_8 ),
inference(superposition,[],[f2629,f2401]) ).
tff(f5782,plain,
( spl116_32
| ~ spl116_8 ),
inference(avatar_split_clause,[],[f5780,f2399,f2855]) ).
cnf(s23,plain,
( spl116_8
| ~ spl116_9 ),
inference(sat_conversion,[],[f2715]) ).
cnf(s61,plain,
~ spl116_32,
inference(sat_conversion,[],[f3883]) ).
cnf(s104,plain,
spl116_9,
inference(sat_conversion,[],[f5699]) ).
cnf(s106,plain,
( ~ spl116_8
| spl116_32 ),
inference(sat_conversion,[],[f5782]) ).
cnf(s112,plain,
~ spl116_8,
inference(rat,[],[s106,s61]) ).
cnf(s127,plain,
$false,
inference(rat,[],[s23,s104,s112]) ).
tff(f5791,plain,
$false,
inference(avatar_sat_refutation,[],[s127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP353_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 12:57:38 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.43/1.18 % (2326296)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.43/1.18 % (2326317)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3188640222:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.43/1.18 % (2326317)Instruction limit reached!
% 3.43/1.18 % (2326317)------------------------------
% 3.43/1.18 % (2326317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.18 % (2326317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.18 % (2326317)CaDiCaL version: 2.1.3
% 3.43/1.18 % (2326317)Termination reason: Instruction limit
% 3.43/1.18 % (2326317)Termination phase: Property scanning
% 3.43/1.18 % (2326317)Time elapsed: 0.014 s
% 3.43/1.18 % (2326317)Peak memory usage: 88 MB
% 3.43/1.18 % (2326317)Instructions burned: 49 (million)
% 3.43/1.18 % (2326313)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2764561030:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.43/1.18 % (2326315)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3655411962:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.43/1.18 % (2326314)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2241895782:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.43/1.18 % (2326312)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1277474922:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.43/1.18 % (2326316)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1410040402:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.43/1.18 % (2326316)Instruction limit reached!
% 3.43/1.18 % (2326316)------------------------------
% 3.43/1.18 % (2326316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.18 % (2326316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.18 % (2326316)CaDiCaL version: 2.1.3
% 3.43/1.18 % (2326316)Termination reason: Instruction limit
% 3.43/1.18 % (2326316)Termination phase: Property scanning
% 3.43/1.18 % (2326316)Time elapsed: 0.003 s
% 3.43/1.18 % (2326316)Peak memory usage: 85 MB
% 3.43/1.18 % (2326316)Instructions burned: 4 (million)
% 3.43/1.18 % (2326315)Instruction limit reached!
% 3.43/1.18 % (2326315)------------------------------
% 3.43/1.18 % (2326315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.18 % (2326315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.18 % (2326315)CaDiCaL version: 2.1.3
% 3.43/1.18 % (2326315)Termination reason: Instruction limit
% 3.43/1.18 % (2326315)Termination phase: Property scanning
% 3.43/1.18 % (2326315)Time elapsed: 0.004 s
% 3.43/1.18 % (2326315)Peak memory usage: 85 MB
% 3.43/1.18 % (2326315)Instructions burned: 7 (million)
% 3.43/1.18 % (2326312)Instruction limit reached!
% 3.43/1.18 % (2326312)------------------------------
% 3.43/1.18 % (2326312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.18 % (2326312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.18 % (2326312)CaDiCaL version: 2.1.3
% 3.43/1.18 % (2326312)Termination reason: Instruction limit
% 3.43/1.18 % (2326312)Termination phase: Property scanning
% 3.43/1.18 % (2326312)Time elapsed: 0.007 s
% 3.43/1.18 % (2326312)Peak memory usage: 85 MB
% 3.43/1.18 % (2326312)Instructions burned: 13 (million)
% 3.43/1.18 % (2326318)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1238747570:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.43/1.18 % (2326318)Instruction limit reached!
% 3.43/1.18 % (2326318)------------------------------
% 3.43/1.18 % (2326318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.18 % (2326318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.18 % (2326318)CaDiCaL version: 2.1.3
% 3.43/1.18 % (2326318)Termination reason: Instruction limit
% 3.43/1.18 % (2326318)Termination phase: Clausification
% 3.43/1.18 % (2326318)Time elapsed: 0.035 s
% 3.43/1.18 % (2326318)Peak memory usage: 88 MB
% 3.43/1.18 % (2326318)Instructions burned: 33 (million)
% 3.43/1.18 % (2326333)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=82019923:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.43/1.18 % (2326333)Instruction limit reached!
% 3.43/1.18 % (2326333)------------------------------
% 4.34/1.33 % (2326333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.33 % (2326333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.33 % (2326333)CaDiCaL version: 2.1.3
% 4.34/1.33 % (2326333)Termination reason: Instruction limit
% 4.34/1.33 % (2326333)Termination phase: Preprocessing 1
% 4.34/1.33 % (2326333)Time elapsed: 0.005 s
% 4.34/1.33 % (2326333)Peak memory usage: 86 MB
% 4.34/1.33 % (2326333)Instructions burned: 15 (million)
% 4.34/1.33 % (2326340)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2776552511:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.34/1.33 % (2326341)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2030576089:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.34/1.33 % (2326314)Instruction limit reached!
% 4.34/1.33 % (2326314)------------------------------
% 4.34/1.33 % (2326314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.33 % (2326314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.33 % (2326314)CaDiCaL version: 2.1.3
% 4.34/1.33 % (2326314)Termination reason: Instruction limit
% 4.34/1.33 % (2326314)Termination phase: Saturation
% 4.34/1.33 % (2326314)Time elapsed: 0.157 s
% 4.34/1.33 % (2326314)Peak memory usage: 119 MB
% 4.34/1.33 % (2326314)Instructions burned: 201 (million)
% 4.34/1.33 % (2326339)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3816927542:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.34/1.33 % (2326340)Instruction limit reached!
% 4.34/1.33 % (2326340)------------------------------
% 4.34/1.33 % (2326340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.33 % (2326340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.33 % (2326340)CaDiCaL version: 2.1.3
% 4.34/1.33 % (2326340)Termination reason: Instruction limit
% 4.34/1.33 % (2326340)Termination phase: Naming
% 4.34/1.33 % (2326340)Time elapsed: 0.010 s
% 4.34/1.33 % (2326340)Peak memory usage: 87 MB
% 4.34/1.33 % (2326340)Instructions burned: 16 (million)
% 4.34/1.33 % (2326341)Instruction limit reached!
% 4.34/1.33 % (2326341)------------------------------
% 4.34/1.33 % (2326341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.33 % (2326341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.33 % (2326341)CaDiCaL version: 2.1.3
% 4.34/1.33 % (2326341)Termination reason: Instruction limit
% 4.34/1.33 % (2326341)Termination phase: Preprocessing 3
% 4.34/1.33 % (2326341)Time elapsed: 0.013 s
% 4.34/1.33 % (2326341)Peak memory usage: 87 MB
% 4.34/1.33 % (2326341)Instructions burned: 24 (million)
% 4.34/1.33 % (2326339)Instruction limit reached!
% 4.34/1.33 % (2326339)------------------------------
% 4.34/1.33 % (2326339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.33 % (2326339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.33 % (2326339)CaDiCaL version: 2.1.3
% 4.34/1.33 % (2326339)Termination reason: Instruction limit
% 4.34/1.33 % (2326339)Termination phase: Preprocessing 3
% 4.34/1.33 % (2326339)Time elapsed: 0.018 s
% 4.34/1.33 % (2326339)Peak memory usage: 87 MB
% 4.34/1.33 % (2326339)Instructions burned: 29 (million)
% 4.34/1.33 % (2326345)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=779343497:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.34/1.33 % (2326343)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=842161180:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.34/1.33 % (2326343)Instruction limit reached!
% 4.34/1.33 % (2326343)------------------------------
% 4.34/1.33 % (2326343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.33 % (2326343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.33 % (2326343)CaDiCaL version: 2.1.3
% 4.34/1.33 % (2326343)Termination reason: Instruction limit
% 4.34/1.33 % (2326343)Termination phase: Preprocessing 3
% 4.34/1.33 % (2326343)Time elapsed: 0.016 s
% 4.34/1.33 % (2326343)Peak memory usage: 87 MB
% 4.34/1.33 % (2326343)Instructions burned: 28 (million)
% 4.34/1.33 % (2326345)Instruction limit reached!
% 4.34/1.33 % (2326345)------------------------------
% 5.50/1.54 % (2326345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326345)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326345)Termination reason: Instruction limit
% 5.50/1.54 % (2326345)Termination phase: Saturation
% 5.50/1.54 % (2326345)Time elapsed: 0.024 s
% 5.50/1.54 % (2326345)Peak memory usage: 90 MB
% 5.50/1.54 % (2326345)Instructions burned: 88 (million)
% 5.50/1.54 % (2326313)Instruction limit reached!
% 5.50/1.54 % (2326313)------------------------------
% 5.50/1.54 % (2326313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326313)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326313)Termination reason: Instruction limit
% 5.50/1.54 % (2326313)Termination phase: Clausification
% 5.50/1.54 % (2326313)Time elapsed: 0.245 s
% 5.50/1.54 % (2326313)Peak memory usage: 193 MB
% 5.50/1.54 % (2326313)Instructions burned: 307 (million)
% 5.50/1.54 % (2326351)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=750693296:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.50/1.54 % (2326349)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3039442154:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.50/1.54 % (2326350)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1679103393:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.50/1.54 % (2326349)Instruction limit reached!
% 5.50/1.54 % (2326349)------------------------------
% 5.50/1.54 % (2326349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326349)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326349)Termination reason: Instruction limit
% 5.50/1.54 % (2326349)Termination phase: shuffling
% 5.50/1.54 % (2326349)Time elapsed: 0.002 s
% 5.50/1.54 % (2326349)Peak memory usage: 85 MB
% 5.50/1.54 % (2326349)Instructions burned: 2 (million)
% 5.50/1.54 % (2326351)Instruction limit reached!
% 5.50/1.54 % (2326351)------------------------------
% 5.50/1.54 % (2326351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326351)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326351)Termination reason: Instruction limit
% 5.50/1.54 % (2326351)Termination phase: Property scanning
% 5.50/1.54 % (2326351)Time elapsed: 0.004 s
% 5.50/1.54 % (2326351)Peak memory usage: 85 MB
% 5.50/1.54 % (2326351)Instructions burned: 6 (million)
% 5.50/1.54 % (2326352)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2422766749:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.50/1.54 % (2326352)Instruction limit reached!
% 5.50/1.54 % (2326352)------------------------------
% 5.50/1.54 % (2326352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326352)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326352)Termination reason: Instruction limit
% 5.50/1.54 % (2326352)Termination phase: Saturation
% 5.50/1.54 % (2326352)Time elapsed: 0.033 s
% 5.50/1.54 % (2326352)Peak memory usage: 116 MB
% 5.50/1.54 % (2326352)Instructions burned: 66 (million)
% 5.50/1.54 % (2326355)lrs+10_1_thi=all:si=on:fd=off:random_seed=2528765863:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.50/1.54 % (2326355)Instruction limit reached!
% 5.50/1.54 % (2326355)------------------------------
% 5.50/1.54 % (2326355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326355)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326355)Termination reason: Instruction limit
% 5.50/1.54 % (2326355)Termination phase: Property scanning
% 5.50/1.54 % (2326355)Time elapsed: 0.029 s
% 5.50/1.54 % (2326355)Peak memory usage: 88 MB
% 5.50/1.54 % (2326355)Instructions burned: 54 (million)
% 5.50/1.54 % (2326357)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2835566859:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.50/1.54 % (2326356)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=76354471:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.50/1.54 % (2326357)Instruction limit reached!
% 5.50/1.54 % (2326357)------------------------------
% 5.50/1.54 % (2326357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326357)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326357)Termination reason: Instruction limit
% 5.50/1.54 % (2326357)Termination phase: Property scanning
% 5.50/1.54 % (2326357)Time elapsed: 0.003 s
% 5.50/1.54 % (2326357)Peak memory usage: 85 MB
% 5.50/1.54 % (2326357)Instructions burned: 5 (million)
% 5.50/1.54 % (2326356)Instruction limit reached!
% 5.50/1.54 % (2326356)------------------------------
% 5.50/1.54 % (2326356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326356)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326356)Termination reason: Instruction limit
% 5.50/1.54 % (2326356)Termination phase: Property scanning
% 5.50/1.54 % (2326356)Time elapsed: 0.004 s
% 5.50/1.54 % (2326356)Peak memory usage: 85 MB
% 5.50/1.54 % (2326356)Instructions burned: 8 (million)
% 5.50/1.54 % (2326350)First to succeed.
% 5.50/1.54 % (2326350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2326296"
% 5.50/1.54 % (2326363)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3716112025:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 5.50/1.54 % (2326362)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2492595193:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.50/1.54 % (2326362)Instruction limit reached!
% 5.50/1.54 % (2326362)------------------------------
% 5.50/1.54 % (2326362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326362)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326362)Termination reason: Instruction limit
% 5.50/1.54 % (2326362)Termination phase: shuffling
% 5.50/1.54 % (2326362)Time elapsed: 0.002 s
% 5.50/1.54 % (2326362)Peak memory usage: 85 MB
% 5.50/1.54 % (2326362)Instructions burned: 2 (million)
% 5.50/1.54 % (2326364)dis+10_1_si=on:random_seed=2488696683:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 5.50/1.54 % (2326364)Instruction limit reached!
% 5.50/1.54 % (2326364)------------------------------
% 5.50/1.54 % (2326364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326364)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326364)Termination reason: Instruction limit
% 5.50/1.54 % (2326364)Termination phase: Property scanning
% 5.50/1.54 % (2326364)Time elapsed: 0.003 s
% 5.50/1.54 % (2326364)Peak memory usage: 86 MB
% 5.50/1.54 % (2326364)Instructions burned: 11 (million)
% 5.50/1.54 % (2326366)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3911521207:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 5.50/1.54 % (2326363)Instruction limit reached!
% 5.50/1.54 % (2326363)------------------------------
% 5.50/1.54 % (2326363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326363)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326363)Termination reason: Instruction limit
% 5.50/1.54 % (2326363)Termination phase: Saturation
% 5.50/1.54 % (2326363)Time elapsed: 0.100 s
% 5.50/1.54 % (2326363)Peak memory usage: 118 MB
% 5.50/1.54 % (2326363)Instructions burned: 127 (million)
% 5.50/1.54 % (2326366)Instruction limit reached!
% 5.50/1.54 % (2326366)------------------------------
% 5.50/1.54 % (2326366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326366)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326366)Termination reason: Instruction limit
% 5.50/1.54 % (2326366)Termination phase: Preprocessing 3
% 5.50/1.54 % (2326366)Time elapsed: 0.015 s
% 5.50/1.54 % (2326366)Peak memory usage: 87 MB
% 5.50/1.54 % (2326366)Instructions burned: 26 (million)
% 5.50/1.54 % (2326369)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2592084149:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 5.50/1.54 % (2326370)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2876752657:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 5.50/1.54 % (2326375)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2959072366:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 5.50/1.54 % (2326370)Instruction limit reached!
% 5.50/1.54 % (2326370)------------------------------
% 5.50/1.54 % (2326370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326370)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326370)Termination reason: Instruction limit
% 5.50/1.54 % (2326370)Termination phase: shuffling
% 5.50/1.54 % (2326370)Time elapsed: 0.003 s
% 5.50/1.54 % (2326370)Peak memory usage: 85 MB
% 5.50/1.54 % (2326370)Instructions burned: 2 (million)
% 5.50/1.54 % (2326369)Instruction limit reached!
% 5.50/1.54 % (2326369)------------------------------
% 5.50/1.54 % (2326369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326369)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326369)Termination reason: Instruction limit
% 5.50/1.54 % (2326369)Termination phase: Property scanning
% 5.50/1.54 % (2326369)Time elapsed: 0.035 s
% 5.50/1.54 % (2326369)Peak memory usage: 88 MB
% 5.50/1.54 % (2326369)Instructions burned: 35 (million)
% 5.50/1.54 % (2326374)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=493202637:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 5.50/1.54 % (2326374)Instruction limit reached!
% 5.50/1.54 % (2326374)------------------------------
% 5.50/1.54 % (2326374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326374)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326374)Termination reason: Instruction limit
% 5.50/1.54 % (2326374)Termination phase: Property scanning
% 5.50/1.54 % (2326374)Time elapsed: 0.007 s
% 5.50/1.54 % (2326374)Peak memory usage: 86 MB
% 5.50/1.54 % (2326374)Instructions burned: 8 (million)
% 5.50/1.54 % (2326390)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1200998944:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 5.50/1.54 % (2326390)Instruction limit reached!
% 5.50/1.54 % (2326390)------------------------------
% 5.50/1.54 % (2326390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.54 % (2326390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.54 % (2326390)CaDiCaL version: 2.1.3
% 5.50/1.54 % (2326390)Termination reason: Instruction limit
% 5.50/1.54 % (2326390)Termination phase: Preprocessing 1
% 5.50/1.54 % (2326390)Time elapsed: 0.005 s
% 5.50/1.54 % (2326390)Peak memory usage: 86 MB
% 5.50/1.54 % (2326390)Instructions burned: 10 (million)
% 5.50/1.54 % (2326350)Refutation found. Thanks to Tanya!
% 5.50/1.54 % SZS status Theorem for theBenchmark
% 5.50/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 6.85/1.78 % (2326350)------------------------------
% 6.85/1.78 % (2326350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/1.78 % (2326350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/1.78 % (2326350)CaDiCaL version: 2.1.3
% 6.85/1.78 % (2326350)Termination reason: Refutation
% 6.85/1.78 % (2326350)Time elapsed: 0.115 s
% 6.85/1.78 % (2326350)Peak memory usage: 93 MB
% 6.85/1.78 % (2326350)Instructions burned: 172 (million)
% 6.85/1.78 % (2326350)------------------------------
% 6.85/1.78 % (2326350)------------------------------
% 6.85/1.78 % (2326296)Success in time 0.932 s
% 6.85/1.78 % Vampire exiting
%------------------------------------------------------------------------------