TSTP Solution File: ITP353_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 : Mon May 20 22:41:33 EDT 2024
% Result : Theorem 0.60s 0.85s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 217
% Syntax : Number of formulae : 227 ( 9 unt; 214 typ; 0 def)
% Number of atoms : 21 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 4 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 17 ( 3 atm; 0 fun; 11 num; 3 var)
% Number of types : 24 ( 21 usr; 2 ari)
% Number of type conns : 362 ( 166 >; 196 *; 0 +; 0 <<)
% Number of predicates : 55 ( 52 usr; 1 prp; 0-3 aty)
% Number of functors : 142 ( 141 usr; 28 con; 0-3 aty)
% Number of variables : 3 ( 3 !; 0 ?; 3 :)
% 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$' ).
tff(func_def_86,type,
sK47: ( 'Ereal$' * $real ) > $real ).
tff(func_def_87,type,
sK48: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_88,type,
sK49: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_89,type,
sK50: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_90,type,
sK51: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_91,type,
sK52: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_92,type,
sK53: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_93,type,
sK54: ( 'Ereal$' * 'Ereal$' ) > 'Ereal$' ).
tff(func_def_94,type,
sK55: ( 'Ereal$' * 'Ereal$' ) > 'Ereal$' ).
tff(func_def_95,type,
sK56: 'Ereal_bool_fun$' > $real ).
tff(func_def_96,type,
sK57: 'Ereal_bool_fun$' > 'Ereal$' ).
tff(func_def_97,type,
sK58: 'Ereal_bool_fun$' > 'Ereal$' ).
tff(func_def_98,type,
sK59: 'Ereal_bool_fun$' > $real ).
tff(func_def_99,type,
sK60: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_100,type,
sK61: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_101,type,
sK62: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_102,type,
sK63: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_103,type,
sK64: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_104,type,
sK65: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_105,type,
sK66: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_106,type,
sK67: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_107,type,
sK68: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_108,type,
sK69: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_109,type,
sK70: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_110,type,
sK71: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_111,type,
sK72: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_112,type,
sK73: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_113,type,
sK74: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_114,type,
sK75: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_115,type,
sK76: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_116,type,
sK77: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_117,type,
sK78: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_118,type,
sK79: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_119,type,
sK80: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_120,type,
sK81: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_121,type,
sK82: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_122,type,
sK83: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_123,type,
sK84: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_124,type,
sK85: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_125,type,
sK86: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_126,type,
sK87: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_127,type,
sK88: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_128,type,
sK89: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_129,type,
sK90: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_130,type,
sK91: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_131,type,
sK92: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_132,type,
sK93: 'Ereal$' > $real ).
tff(func_def_133,type,
sK94: 'Ereal$' > $real ).
tff(func_def_134,type,
sK95: 'Ereal$' > $real ).
tff(func_def_135,type,
sK96: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_136,type,
sK97: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_137,type,
sK98: ( $real * $real ) > $real ).
tff(func_def_138,type,
sK99: $real > $real ).
tff(func_def_139,type,
sK100: $real > $real ).
tff(func_def_140,type,
sK101: $real ).
tff(func_def_141,type,
sK102: $real ).
tff(func_def_142,type,
sK103: 'Ereal$' > $real ).
tff(func_def_143,type,
sK104: ( 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_144,type,
sK105: ( 'Ereal$' * 'Ereal$' ) > 'Ereal$' ).
tff(func_def_145,type,
sK106: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_146,type,
sK107: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_147,type,
sK108: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_148,type,
sK109: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_149,type,
sK110: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(func_def_150,type,
sK111: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $real ).
tff(pred_def_1,type,
'fun_app$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$' ) > $o ).
tff(pred_def_11,type,
sP1: ( 'Ereal$' * '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$' * 'Ereal$' ) > $o ).
tff(pred_def_19,type,
sP9: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_20,type,
sP10: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_21,type,
sP11: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_22,type,
sP12: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_23,type,
sP13: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_24,type,
sP14: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_25,type,
sP15: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_26,type,
sP16: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_27,type,
sP17: ( 'Ereal$' * 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_28,type,
sP18: ( 'Ereal$' * '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$' ) > $o ).
tff(pred_def_39,type,
sP29: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_40,type,
sP30: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_41,type,
sP31: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_42,type,
sP32: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_43,type,
sP33: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_44,type,
sP34: ( 'Ereal$' * '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$' ) > $o ).
tff(pred_def_54,type,
sP44: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_55,type,
sP45: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(pred_def_56,type,
sP46: ( 'Ereal$' * 'Ereal$' ) > $o ).
tff(f1971,plain,
$false,
inference(evaluation,[],[f1967]) ).
tff(f1967,plain,
$less(0.0,0.0),
inference(superposition,[],[f1450,f1965]) ).
tff(f1965,plain,
'c$' = 0.0,
inference(trivial_inequality_removal,[],[f1964]) ).
tff(f1964,plain,
( ( 'inverse$a'('ereal$'('c$')) != 'inverse$a'('ereal$'('c$')) )
| ( 'c$' = 0.0 ) ),
inference(superposition,[],[f1292,f1476]) ).
tff(f1476,plain,
! [X0: $real] :
( ( 'inverse$a'('ereal$'(X0)) = 'ereal$'('fun_app$c'('inverse$',X0)) )
| ( 0.0 = X0 ) ),
inference(cnf_transformation,[],[f798]) ).
tff(f798,plain,
! [X0: $real] :
( ( ( 'inverse$a'('ereal$'(X0)) = 'ereal$'('fun_app$c'('inverse$',X0)) )
| ( 0.0 = X0 ) )
& ( ( 'inverse$a'('ereal$'(X0)) = 'infinity$' )
| ( 0.0 != X0 ) ) ),
inference(ennf_transformation,[],[f21]) ).
tff(f21,axiom,
! [X0: $real] :
( ( ( 0.0 != X0 )
=> ( 'inverse$a'('ereal$'(X0)) = 'ereal$'('fun_app$c'('inverse$',X0)) ) )
& ( ( 0.0 = X0 )
=> ( 'inverse$a'('ereal$'(X0)) = 'infinity$' ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom19) ).
tff(f1292,plain,
'ereal$'('fun_app$c'('inverse$','c$')) != 'inverse$a'('ereal$'('c$')),
inference(cnf_transformation,[],[f747]) ).
tff(f747,plain,
'ereal$'('fun_app$c'('inverse$','c$')) != 'inverse$a'('ereal$'('c$')),
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
( ~ 'ereal$'('fun_app$c'('inverse$','c$')) = 'inverse$a'('ereal$'('c$')) ),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
'ereal$'('fun_app$c'('inverse$','c$')) = 'inverse$a'('ereal$'('c$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture3) ).
tff(f1450,plain,
$less(0.0,'c$'),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
$less(0.0,'c$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 18:09:37 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_EQU_ARI problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.76 % (2722)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.76 % (2715)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.76 % (2716)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.76 % (2721)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.57/0.76 % (2717)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.77 % (2720)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.77 % (2718)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.77 % (2719)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.79 % (2722)Instruction limit reached!
% 0.57/0.79 % (2722)------------------------------
% 0.57/0.79 % (2722)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (2722)Termination reason: Unknown
% 0.57/0.79 % (2722)Termination phase: Saturation
% 0.57/0.79
% 0.57/0.79 % (2722)Memory used [KB]: 2170
% 0.57/0.79 % (2722)Time elapsed: 0.027 s
% 0.57/0.79 % (2722)Instructions burned: 58 (million)
% 0.57/0.79 % (2722)------------------------------
% 0.57/0.79 % (2722)------------------------------
% 0.60/0.79 % (2720)Instruction limit reached!
% 0.60/0.79 % (2720)------------------------------
% 0.60/0.79 % (2720)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (2720)Termination reason: Unknown
% 0.60/0.79 % (2720)Termination phase: Property scanning
% 0.60/0.79
% 0.60/0.79 % (2720)Memory used [KB]: 1897
% 0.60/0.79 % (2720)Time elapsed: 0.024 s
% 0.60/0.79 % (2720)Instructions burned: 46 (million)
% 0.60/0.79 % (2720)------------------------------
% 0.60/0.79 % (2720)------------------------------
% 0.60/0.79 % (2723)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.60/0.79 % (2715)Instruction limit reached!
% 0.60/0.79 % (2715)------------------------------
% 0.60/0.79 % (2715)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (2715)Termination reason: Unknown
% 0.60/0.79 % (2715)Termination phase: Property scanning
% 0.60/0.79
% 0.60/0.79 % (2715)Memory used [KB]: 1777
% 0.60/0.79 % (2715)Time elapsed: 0.020 s
% 0.60/0.79 % (2715)Instructions burned: 35 (million)
% 0.60/0.79 % (2715)------------------------------
% 0.60/0.79 % (2715)------------------------------
% 0.60/0.79 % (2718)Instruction limit reached!
% 0.60/0.79 % (2718)------------------------------
% 0.60/0.79 % (2718)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (2718)Termination reason: Unknown
% 0.60/0.79 % (2718)Termination phase: Property scanning
% 0.60/0.79
% 0.60/0.79 % (2718)Memory used [KB]: 1720
% 0.60/0.79 % (2718)Time elapsed: 0.016 s
% 0.60/0.79 % (2718)Instructions burned: 33 (million)
% 0.60/0.79 % (2718)------------------------------
% 0.60/0.79 % (2718)------------------------------
% 0.60/0.79 % (2719)Instruction limit reached!
% 0.60/0.79 % (2719)------------------------------
% 0.60/0.79 % (2719)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (2719)Termination reason: Unknown
% 0.60/0.79 % (2719)Termination phase: Preprocessing 3
% 0.60/0.79
% 0.60/0.79 % (2719)Memory used [KB]: 1732
% 0.60/0.79 % (2719)Time elapsed: 0.021 s
% 0.60/0.79 % (2719)Instructions burned: 34 (million)
% 0.60/0.79 % (2719)------------------------------
% 0.60/0.79 % (2719)------------------------------
% 0.60/0.79 % (2724)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.60/0.79 % (2725)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.60/0.80 % (2726)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.60/0.80 % (2716)Instruction limit reached!
% 0.60/0.80 % (2716)------------------------------
% 0.60/0.80 % (2716)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (2716)Termination reason: Unknown
% 0.60/0.80 % (2716)Termination phase: Property scanning
% 0.60/0.80
% 0.60/0.80 % (2716)Memory used [KB]: 2297
% 0.60/0.80 % (2716)Time elapsed: 0.026 s
% 0.60/0.80 % (2716)Instructions burned: 53 (million)
% 0.60/0.80 % (2716)------------------------------
% 0.60/0.80 % (2716)------------------------------
% 0.60/0.81 % (2728)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.60/0.81 % (2721)Instruction limit reached!
% 0.60/0.81 % (2721)------------------------------
% 0.60/0.81 % (2721)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (2721)Termination reason: Unknown
% 0.60/0.81 % (2721)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (2721)Memory used [KB]: 2697
% 0.60/0.81 % (2721)Time elapsed: 0.051 s
% 0.60/0.81 % (2721)Instructions burned: 83 (million)
% 0.60/0.81 % (2721)------------------------------
% 0.60/0.81 % (2721)------------------------------
% 0.60/0.81 % (2727)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.60/0.81 % (2729)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.60/0.82 % (2724)Instruction limit reached!
% 0.60/0.82 % (2724)------------------------------
% 0.60/0.82 % (2724)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (2724)Termination reason: Unknown
% 0.60/0.82 % (2724)Termination phase: Property scanning
% 0.60/0.82
% 0.60/0.82 % (2724)Memory used [KB]: 2248
% 0.60/0.82 % (2724)Time elapsed: 0.028 s
% 0.60/0.82 % (2724)Instructions burned: 50 (million)
% 0.60/0.82 % (2724)------------------------------
% 0.60/0.82 % (2724)------------------------------
% 0.60/0.82 % (2726)Instruction limit reached!
% 0.60/0.82 % (2726)------------------------------
% 0.60/0.82 % (2726)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (2726)Termination reason: Unknown
% 0.60/0.82 % (2726)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (2726)Memory used [KB]: 2075
% 0.60/0.82 % (2726)Time elapsed: 0.025 s
% 0.60/0.82 % (2726)Instructions burned: 52 (million)
% 0.60/0.82 % (2726)------------------------------
% 0.60/0.82 % (2726)------------------------------
% 0.60/0.82 % (2717)Instruction limit reached!
% 0.60/0.82 % (2717)------------------------------
% 0.60/0.82 % (2717)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (2717)Termination reason: Unknown
% 0.60/0.82 % (2717)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (2717)Memory used [KB]: 2222
% 0.60/0.82 % (2717)Time elapsed: 0.042 s
% 0.60/0.82 % (2717)Instructions burned: 79 (million)
% 0.60/0.82 % (2717)------------------------------
% 0.60/0.82 % (2717)------------------------------
% 0.60/0.82 % (2731)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.60/0.83 % (2728)Instruction limit reached!
% 0.60/0.83 % (2728)------------------------------
% 0.60/0.83 % (2728)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83 % (2728)Termination reason: Unknown
% 0.60/0.83 % (2728)Termination phase: Clausification
% 0.60/0.83
% 0.60/0.83 % (2728)Memory used [KB]: 4582
% 0.60/0.83 % (2728)Time elapsed: 0.022 s
% 0.60/0.83 % (2728)Instructions burned: 42 (million)
% 0.60/0.83 % (2728)------------------------------
% 0.60/0.83 % (2728)------------------------------
% 0.60/0.83 % (2723)Instruction limit reached!
% 0.60/0.83 % (2723)------------------------------
% 0.60/0.83 % (2723)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83 % (2723)Termination reason: Unknown
% 0.60/0.83 % (2723)Termination phase: Clausification
% 0.60/0.83
% 0.60/0.83 % (2723)Memory used [KB]: 10378
% 0.60/0.83 % (2723)Time elapsed: 0.036 s
% 0.60/0.83 % (2723)Instructions burned: 56 (million)
% 0.60/0.83 % (2723)------------------------------
% 0.60/0.83 % (2723)------------------------------
% 0.60/0.83 % (2730)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.60/0.83 % (2732)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.60/0.83 % (2733)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.60/0.83 % (2734)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.60/0.85 % (2725)Instruction limit reached!
% 0.60/0.85 % (2725)------------------------------
% 0.60/0.85 % (2725)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85 % (2725)Termination reason: Unknown
% 0.60/0.85 % (2725)Termination phase: Saturation
% 0.60/0.85
% 0.60/0.85 % (2725)Memory used [KB]: 2597
% 0.60/0.85 % (2725)Time elapsed: 0.054 s
% 0.60/0.85 % (2725)Instructions burned: 211 (million)
% 0.60/0.85 % (2725)------------------------------
% 0.60/0.85 % (2725)------------------------------
% 0.60/0.85 % (2735)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.60/0.85 % (2734)Instruction limit reached!
% 0.60/0.85 % (2734)------------------------------
% 0.60/0.85 % (2734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85 % (2734)Termination reason: Unknown
% 0.60/0.85 % (2734)Termination phase: Preprocessing 1
% 0.60/0.85
% 0.60/0.85 % (2734)Memory used [KB]: 1548
% 0.60/0.85 % (2727)First to succeed.
% 0.60/0.85 % (2734)Time elapsed: 0.021 s
% 0.60/0.85 % (2734)Instructions burned: 32 (million)
% 0.60/0.85 % (2734)------------------------------
% 0.60/0.85 % (2734)------------------------------
% 0.60/0.85 % (2727)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2714"
% 0.60/0.85 % (2727)Refutation found. Thanks to Tanya!
% 0.60/0.85 % SZS status Theorem for theBenchmark
% 0.60/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.85 % (2727)------------------------------
% 0.60/0.85 % (2727)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85 % (2727)Termination reason: Refutation
% 0.60/0.85
% 0.60/0.85 % (2727)Memory used [KB]: 2165
% 0.60/0.85 % (2727)Time elapsed: 0.062 s
% 0.60/0.85 % (2727)Instructions burned: 64 (million)
% 0.60/0.85 % (2714)Success in time 0.474 s
% 0.60/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------