TSTP Solution File: ITP404_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP001_1 : TPTP v8.1.2. 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 : n007.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 : Sun May 5 06:56:21 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 201
% Syntax : Number of formulae : 215 ( 11 unt; 196 typ; 0 def)
% Number of atoms : 36 ( 10 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 7 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 21 ( 19 atm; 0 fun; 0 num; 2 var)
% Number of types : 33 ( 31 usr; 1 ari)
% Number of type conns : 204 ( 123 >; 81 *; 0 +; 0 <<)
% Number of predicates : 26 ( 23 usr; 1 prp; 0-4 aty)
% Number of functors : 142 ( 142 usr; 42 con; 0-3 aty)
% Number of variables : 18 ( 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Nat_set_set$': $tType ).
tff(type_def_6,type,
'Nat_int_set_bool_fun_fun$': $tType ).
tff(type_def_7,type,
'Int_bool_fun$': $tType ).
tff(type_def_8,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_9,type,
'Int_set_set_bool_fun$': $tType ).
tff(type_def_10,type,
'Clock$': $tType ).
tff(type_def_11,type,
'Int_set_set_set$': $tType ).
tff(type_def_12,type,
'Int_set$': $tType ).
tff(type_def_13,type,
'Int_int_fun$': $tType ).
tff(type_def_14,type,
'Int_set_set$': $tType ).
tff(type_def_15,type,
'Nat_bool_fun_set$': $tType ).
tff(type_def_16,type,
'Nat_set_nat_set_bool_fun_fun$': $tType ).
tff(type_def_17,type,
'Int_int_set_bool_fun_fun$': $tType ).
tff(type_def_18,type,
'A_run$': $tType ).
tff(type_def_19,type,
'Nat_nat_fun$': $tType ).
tff(type_def_20,type,
'Nat$': $tType ).
tff(type_def_21,type,
tlbool: $tType ).
tff(type_def_22,type,
'Nat_set_bool_fun$': $tType ).
tff(type_def_23,type,
'Nat_nat_set_bool_fun_fun$': $tType ).
tff(type_def_24,type,
'Nat_set_set_set$': $tType ).
tff(type_def_25,type,
'Int_set_bool_fun$': $tType ).
tff(type_def_26,type,
'Int_set_int_bool_fun_fun$': $tType ).
tff(type_def_27,type,
'Nat_set_set_bool_fun$': $tType ).
tff(type_def_28,type,
'Int_int_bool_fun_fun$': $tType ).
tff(type_def_29,type,
'Nat_bool_fun$': $tType ).
tff(type_def_30,type,
'Int_set_nat_bool_fun_fun$': $tType ).
tff(type_def_31,type,
'Nat_set$': $tType ).
tff(type_def_32,type,
'Nat_int_fun$': $tType ).
tff(type_def_33,type,
'Int_nat_set_bool_fun_fun$': $tType ).
tff(type_def_34,type,
'Nat_int_bool_fun_fun$': $tType ).
tff(type_def_35,type,
'Int_nat_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'uvs$': 'Int_set_int_bool_fun_fun$' ).
tff(func_def_1,type,
'uminus$c': 'Int_bool_fun$' > 'Int_bool_fun$' ).
tff(func_def_2,type,
'collect$c': 'Int_bool_fun$' > 'Int_set$' ).
tff(func_def_3,type,
'less$': 'Nat_set$' > 'Nat_set_bool_fun$' ).
tff(func_def_4,type,
'finite$b': 'Nat_set_set_bool_fun$' ).
tff(func_def_5,type,
'uuw$': ( 'Nat_set$' * 'Nat_int_set_bool_fun_fun$' ) > 'Int_set_nat_bool_fun_fun$' ).
tff(func_def_6,type,
'member$a': 'Int_set$' > 'Int_set_set_bool_fun$' ).
tff(func_def_7,type,
def_5: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_8,type,
'uvj$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_9,type,
'uup$': 'Nat_set_set$' > 'Nat_set_bool_fun$' ).
tff(func_def_10,type,
'uvr$': 'Nat_set$' > 'Nat_bool_fun$' ).
tff(func_def_11,type,
'uuo$': 'Int_set_set$' > 'Int_set_bool_fun$' ).
tff(func_def_12,type,
'is_empty$': 'Nat_set_bool_fun$' ).
tff(func_def_13,type,
'collect$a': 'Int_set_bool_fun$' > 'Int_set_set$' ).
tff(func_def_14,type,
'uux$': ( 'Nat_set$' * 'Nat_nat_set_bool_fun_fun$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).
tff(func_def_15,type,
'uva$': ( 'Int_set_set$' * 'Int_set_nat_bool_fun_fun$' ) > 'Nat_int_set_bool_fun_fun$' ).
tff(func_def_16,type,
'ordering_top$a': ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_17,type,
'uvo$': $int > 'Int_int_bool_fun_fun$' ).
tff(func_def_18,type,
'bot$e': 'Nat_bool_fun$' ).
tff(func_def_19,type,
'zero$': 'Nat$' ).
tff(func_def_20,type,
'tick_count_strict$': ( 'A_run$' * 'Clock$' ) > 'Nat_nat_fun$' ).
tff(func_def_21,type,
'uvd$': ( 'Nat_set_set$' * 'Nat_set_bool_fun$' ) > 'Nat_set_bool_fun$' ).
tff(func_def_22,type,
'less$d': 'Int_set$' > 'Int_set_bool_fun$' ).
tff(func_def_23,type,
'uvi$': 'Nat_set_nat_set_bool_fun_fun$' ).
tff(func_def_24,type,
'uvm$': $int > 'Int_int_bool_fun_fun$' ).
tff(func_def_25,type,
'less_eq$a': 'Int_set_set$' > 'Int_set_set_bool_fun$' ).
tff(func_def_26,type,
'uvl$': 'Int_int_bool_fun_fun$' ).
tff(func_def_27,type,
'bot$j': 'Nat$' ).
tff(func_def_28,type,
'member$': 'Nat_set$' > 'Nat_set_set_bool_fun$' ).
tff(func_def_29,type,
'finite$c': 'Int_set_bool_fun$' ).
tff(func_def_30,type,
'fun_app$m': ( 'Int_int_set_bool_fun_fun$' * $int ) > 'Int_set_bool_fun$' ).
tff(func_def_31,type,
'g$': 'Nat_nat_fun$' ).
tff(func_def_32,type,
'bot$h': 'Int_set_bool_fun$' ).
tff(func_def_33,type,
'n$': 'Nat$' ).
tff(func_def_34,type,
'uvp$': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).
tff(func_def_35,type,
'less$a': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_36,type,
'uvh$': 'Nat_bool_fun$' ).
tff(func_def_37,type,
'uuq$': 'Nat_set$' > 'Nat_bool_fun$' ).
tff(func_def_38,type,
'fun_app$a': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_39,type,
'uus$': ( 'Nat_set$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_nat_bool_fun_fun$' ).
tff(func_def_40,type,
def_7: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_41,type,
'fun_app$o': ( 'Int_set_nat_bool_fun_fun$' * 'Int_set$' ) > 'Nat_bool_fun$' ).
tff(func_def_42,type,
'arg_min_on$a': ( 'Nat_int_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_43,type,
'less$b': 'Int_set_set$' > 'Int_set_set_bool_fun$' ).
tff(func_def_44,type,
'collect$d': 'Int_set_set_bool_fun$' > 'Int_set_set_set$' ).
tff(func_def_45,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_46,type,
'bot$': 'Nat_set$' ).
tff(func_def_47,type,
'uuc$': ( 'Int_set_bool_fun$' * 'Int_set_bool_fun$' ) > 'Int_set_bool_fun$' ).
tff(func_def_48,type,
'of_int$': 'Int_int_fun$' ).
tff(func_def_49,type,
'uuk$': 'Int_set_set$' > 'Int_set_set_bool_fun$' ).
tff(func_def_50,type,
'bot$b': 'Nat_set_set$' ).
tff(func_def_51,type,
'bot$a': 'Int_set_set$' ).
tff(func_def_52,type,
'uue$': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_53,type,
def_1: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_54,type,
'ordering_top$': ( 'Nat_set_nat_set_bool_fun_fun$' * 'Nat_set_nat_set_bool_fun_fun$' ) > 'Nat_set_bool_fun$' ).
tff(func_def_55,type,
'uum$': 'Nat_set_nat_set_bool_fun_fun$' ).
tff(func_def_56,type,
'uminus$': 'Nat_set$' > 'Nat_set$' ).
tff(func_def_57,type,
'fun_app$n': ( 'Nat_int_set_bool_fun_fun$' * 'Nat$' ) > 'Int_set_bool_fun$' ).
tff(func_def_58,type,
'uua$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_59,type,
'finite$': 'Nat_set_bool_fun$' ).
tff(func_def_60,type,
'fun_app$s': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_61,type,
tltrue: tlbool ).
tff(func_def_62,type,
def_8: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_63,type,
def_6: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_64,type,
'r$': 'A_run$' ).
tff(func_def_65,type,
'uminus$b': 'Int_set$' > 'Int_set$' ).
tff(func_def_66,type,
'fun_app$g': ( 'Nat_set_nat_set_bool_fun_fun$' * 'Nat_set$' ) > 'Nat_set_bool_fun$' ).
tff(func_def_67,type,
'uuh$': ( 'Nat_set_bool_fun$' * 'Nat_set_bool_fun$' ) > 'Nat_set_bool_fun$' ).
tff(func_def_68,type,
'uub$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_69,type,
'collect$e': 'Nat_set_set_bool_fun$' > 'Nat_set_set_set$' ).
tff(func_def_70,type,
'uvb$': ( 'Int_set_set$' * 'Int_set_int_bool_fun_fun$' ) > 'Int_int_set_bool_fun_fun$' ).
tff(func_def_71,type,
'uvg$': 'Int_bool_fun$' ).
tff(func_def_72,type,
'less$c': 'Nat_set_set$' > 'Nat_set_set_bool_fun$' ).
tff(func_def_73,type,
'f$': 'Nat_nat_fun$' ).
tff(func_def_74,type,
'arg_min_on$': ( 'Int_int_fun$' * 'Int_set$' ) > $int ).
tff(func_def_75,type,
'less_eq$d': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_76,type,
'collect$': 'Nat_bool_fun$' > 'Nat_set$' ).
tff(func_def_77,type,
'sub$': 'A_run$' ).
tff(func_def_78,type,
'less_eq$c': 'Int_set$' > 'Int_set_bool_fun$' ).
tff(func_def_79,type,
'fun_app$l': ( 'Int_set_int_bool_fun_fun$' * 'Int_set$' ) > 'Int_bool_fun$' ).
tff(func_def_80,type,
'member$c': 'Int_int_set_bool_fun_fun$' ).
tff(func_def_81,type,
'uut$': ( 'Nat_set$' * 'Nat_int_bool_fun_fun$' ) > 'Int_nat_bool_fun_fun$' ).
tff(func_def_82,type,
'fun_app$k': ( 'Nat_nat_set_bool_fun_fun$' * 'Nat$' ) > 'Nat_set_bool_fun$' ).
tff(func_def_83,type,
'uuy$': ( 'Int_set$' * 'Int_int_set_bool_fun_fun$' ) > 'Int_set_int_bool_fun_fun$' ).
tff(func_def_84,type,
'less_eq$b': 'Nat_set$' > 'Nat_set_bool_fun$' ).
tff(func_def_85,type,
'bot$g': 'Int_bool_fun$' ).
tff(func_def_86,type,
'fun_app$c': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_87,type,
'bot$d': 'Nat_bool_fun_set$' ).
tff(func_def_88,type,
'uvf$': ( 'Int_set$' * 'Int_bool_fun$' ) > 'Int_bool_fun$' ).
tff(func_def_89,type,
'less_eq$': 'Nat_set_set$' > 'Nat_set_set_bool_fun$' ).
tff(func_def_90,type,
'bot$c': 'Int_set$' ).
tff(func_def_91,type,
'uuf$': ( 'Int_bool_fun$' * 'Int_bool_fun$' ) > 'Int_bool_fun$' ).
tff(func_def_92,type,
def_4: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_93,type,
'fun_app$j': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).
tff(func_def_94,type,
'uminus$a': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).
tff(func_def_95,type,
'uug$': ( 'Int_set_bool_fun$' * 'Int_set_bool_fun$' ) > 'Int_set_bool_fun$' ).
tff(func_def_96,type,
'uuz$': ( 'Int_set$' * 'Int_nat_set_bool_fun_fun$' * 'Nat_set$' ) > 'Int_bool_fun$' ).
tff(func_def_97,type,
'dil_inverse$': 'Nat_nat_fun$' > 'Nat_nat_fun$' ).
tff(func_def_98,type,
tlfalse: tlbool ).
tff(func_def_99,type,
'nat$': $int > 'Nat$' ).
tff(func_def_100,type,
'fun_app$p': ( 'Int_nat_bool_fun_fun$' * $int ) > 'Nat_bool_fun$' ).
tff(func_def_101,type,
'uvn$': $int > 'Int_int_bool_fun_fun$' ).
tff(func_def_102,type,
'uvq$': 'Int_bool_fun$' > 'Int_bool_fun$' ).
tff(func_def_103,type,
'finite$a': 'Int_set_set_bool_fun$' ).
tff(func_def_104,type,
'uun$': 'Int_set$' > 'Int_set_bool_fun$' ).
tff(func_def_105,type,
'uvk$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_106,type,
def_2: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_107,type,
'fun_app$q': ( 'Nat_int_bool_fun_fun$' * 'Nat$' ) > 'Int_bool_fun$' ).
tff(func_def_108,type,
'member$b': 'Nat_nat_set_bool_fun_fun$' ).
tff(func_def_109,type,
'uud$': ( 'Nat_set_bool_fun$' * 'Nat_set_bool_fun$' ) > 'Nat_set_bool_fun$' ).
tff(func_def_110,type,
'uve$': ( 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_111,type,
'collect$b': 'Nat_set_bool_fun$' > 'Nat_set_set$' ).
tff(func_def_112,type,
'fun_app$r': ( 'Int_nat_set_bool_fun_fun$' * $int ) > 'Nat_set_bool_fun$' ).
tff(func_def_113,type,
'uuj$': ( 'Int_bool_fun$' * 'Int_bool_fun$' ) > 'Int_bool_fun$' ).
tff(func_def_114,type,
'uvc$': ( 'Int_set_set$' * 'Int_set_bool_fun$' ) > 'Int_set_bool_fun$' ).
tff(func_def_115,type,
'fun_app$b': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_116,type,
'uuu$': ( 'Int_set$' * 'Int_nat_bool_fun_fun$' ) > 'Nat_int_bool_fun_fun$' ).
tff(func_def_117,type,
'dbl_dec$': 'Int_int_fun$' ).
tff(func_def_118,type,
'uu$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_119,type,
'uur$': 'Int_set_int_bool_fun_fun$' ).
tff(func_def_120,type,
def_3: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_121,type,
'uul$': 'Nat_set_set$' > 'Nat_set_set_bool_fun$' ).
tff(func_def_122,type,
'uuv$': ( 'Int_set$' * 'Int_int_bool_fun_fun$' ) > 'Int_int_bool_fun_fun$' ).
tff(func_def_123,type,
'bot$i': 'Nat_set_bool_fun$' ).
tff(func_def_124,type,
'uui$': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_129,type,
sK3: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_130,type,
sK4: 'Nat_nat_fun$' > 'Nat$' ).
tff(func_def_131,type,
sK5: $int > $int ).
tff(func_def_132,type,
sK6: $int > $int ).
tff(func_def_133,type,
sK7: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_134,type,
sK8: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_135,type,
sK9: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_136,type,
sK10: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_137,type,
sK11: 'Nat_nat_bool_fun_fun$' > 'Nat$' ).
tff(func_def_138,type,
sK12: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_139,type,
sK13: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).
tff(func_def_140,type,
sK14: ( 'Nat_bool_fun$' * $int ) > 'Nat$' ).
tff(func_def_141,type,
sK15: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_142,type,
sK16: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_143,type,
sK17: 'Nat_bool_fun$' > 'Nat$' ).
tff(func_def_144,type,
sK18: $int > 'Nat$' ).
tff(func_def_145,type,
sK19: $int > 'Nat$' ).
tff(pred_def_1,type,
'fun_app$d': ( 'Nat_set_set_bool_fun$' * 'Nat_set_set$' ) > $o ).
tff(pred_def_2,type,
'less$e': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_3,type,
'less$f': ( 'Int_bool_fun$' * 'Int_bool_fun$' ) > $o ).
tff(pred_def_5,type,
'contracting$': ( 'Nat_nat_fun$' * 'A_run$' * 'A_run$' * 'Nat_nat_fun$' ) > $o ).
tff(pred_def_6,type,
'fun_app$': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(pred_def_7,type,
'fun_app$h': ( 'Int_set_bool_fun$' * 'Int_set$' ) > $o ).
tff(pred_def_8,type,
'member$d': ( 'Nat_bool_fun$' * 'Nat_bool_fun_set$' ) > $o ).
tff(pred_def_9,type,
'finite$f': 'Nat_bool_fun_set$' > $o ).
tff(pred_def_10,type,
'fun_app$e': ( 'Int_set_set_bool_fun$' * 'Int_set_set$' ) > $o ).
tff(pred_def_11,type,
'dense_run$': 'A_run$' > $o ).
tff(pred_def_12,type,
'fun_app$f': ( 'Nat_set_bool_fun$' * 'Nat_set$' ) > $o ).
tff(pred_def_13,type,
'dilating$': ( 'Nat_nat_fun$' * 'A_run$' * 'A_run$' ) > $o ).
tff(pred_def_14,type,
'less_eq$g': ( tlbool * tlbool ) > $o ).
tff(pred_def_15,type,
'finite$d': 'Int_set_set_set$' > $o ).
tff(pred_def_16,type,
'less_eq$f': ( 'Int_bool_fun$' * 'Int_bool_fun$' ) > $o ).
tff(pred_def_17,type,
'finite$e': 'Nat_set_set_set$' > $o ).
tff(pred_def_18,type,
'less_eq$e': ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > $o ).
tff(pred_def_19,type,
'fun_app$i': ( 'Int_bool_fun$' * $int ) > $o ).
tff(pred_def_22,type,
sP0: ( $int * $int * $int ) > $o ).
tff(pred_def_23,type,
sP1: ( $int * $int * $int ) > $o ).
tff(pred_def_24,type,
sP2: ( $int * $int * $int ) > $o ).
tff(pred_def_25,type,
sQ20_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_26,type,
sQ21_eqProxy: ( 'Nat$' * 'Nat$' ) > $o ).
tff(f1585,plain,
$false,
inference(subsumption_resolution,[],[f1584,f1171]) ).
tff(f1171,plain,
! [X0: 'Nat$'] : ~ $less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0)),'fun_app$b'('of_nat$','fun_app$c'('g$',X0))),
inference(cnf_transformation,[],[f51]) ).
tff(f51,axiom,
! [X0: 'Nat$'] : ~ $less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0)),'fun_app$b'('of_nat$','fun_app$c'('g$',X0))),
file('/export/starexec/sandbox/tmp/tmp.SAgutddfOq/Vampire---4.8_32649',axiom49) ).
tff(f1584,plain,
$less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')),'fun_app$b'('of_nat$','fun_app$c'('g$','n$'))),
inference(subsumption_resolution,[],[f1549,f1172]) ).
tff(f1172,plain,
! [X0: 'Nat$'] : ~ $less('fun_app$b'('of_nat$','fun_app$c'('g$',X0)),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0))),
inference(cnf_transformation,[],[f50]) ).
tff(f50,axiom,
! [X0: 'Nat$'] : ~ $less('fun_app$b'('of_nat$','fun_app$c'('g$',X0)),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X0))),
file('/export/starexec/sandbox/tmp/tmp.SAgutddfOq/Vampire---4.8_32649',axiom48) ).
tff(f1549,plain,
( $less('fun_app$b'('of_nat$','fun_app$c'('g$','n$')),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')))
| $less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')),'fun_app$b'('of_nat$','fun_app$c'('g$','n$'))) ),
inference(resolution,[],[f1440,f1485]) ).
tff(f1485,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( sQ20_eqProxy('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$',X1))
| $less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$',X1))
| $less('fun_app$b'('of_nat$',X1),'fun_app$b'('of_nat$',X0)) ),
inference(equality_proxy_replacement,[],[f1214,f1439]) ).
tff(f1439,plain,
! [X0: $int,X1: $int] :
( sQ20_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ20_eqProxy])]) ).
tff(f1214,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( $less('fun_app$b'('of_nat$',X1),'fun_app$b'('of_nat$',X0))
| $less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$',X1))
| ( 'fun_app$b'('of_nat$',X0) = 'fun_app$b'('of_nat$',X1) ) ),
inference(cnf_transformation,[],[f912]) ).
tff(f912,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
( $less('fun_app$b'('of_nat$',X1),'fun_app$b'('of_nat$',X0))
| $less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$',X1))
| ( 'fun_app$b'('of_nat$',X0) = 'fun_app$b'('of_nat$',X1) ) ),
inference(ennf_transformation,[],[f840]) ).
tff(f840,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
~ ( ~ $less('fun_app$b'('of_nat$',X1),'fun_app$b'('of_nat$',X0))
& ~ $less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$',X1))
& ( 'fun_app$b'('of_nat$',X0) != 'fun_app$b'('of_nat$',X1) ) ),
inference(flattening,[],[f839]) ).
tff(f839,plain,
! [X0: 'Nat$',X1: 'Nat$'] :
~ ( ~ $less('fun_app$b'('of_nat$',X1),'fun_app$b'('of_nat$',X0))
& ~ $less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$',X1))
& ( 'fun_app$b'('of_nat$',X0) != 'fun_app$b'('of_nat$',X1) ) ),
inference(true_and_false_elimination,[],[f103]) ).
tff(f103,axiom,
! [X0: 'Nat$',X1: 'Nat$'] :
( ( ( $less('fun_app$b'('of_nat$',X1),'fun_app$b'('of_nat$',X0))
=> $false )
& ( $less('fun_app$b'('of_nat$',X0),'fun_app$b'('of_nat$',X1))
=> $false )
& ( 'fun_app$b'('of_nat$',X0) != 'fun_app$b'('of_nat$',X1) ) )
=> $false ),
file('/export/starexec/sandbox/tmp/tmp.SAgutddfOq/Vampire---4.8_32649',axiom101) ).
tff(f1440,plain,
~ sQ20_eqProxy('fun_app$b'('of_nat$','fun_app$c'('g$','n$')),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$'))),
inference(equality_proxy_replacement,[],[f1100,f1439]) ).
tff(f1100,plain,
'fun_app$b'('of_nat$','fun_app$c'('g$','n$')) != 'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')),
inference(cnf_transformation,[],[f822]) ).
tff(f822,plain,
'fun_app$b'('of_nat$','fun_app$c'('g$','n$')) != 'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')),
inference(flattening,[],[f48]) ).
tff(f48,negated_conjecture,
( ~ 'fun_app$b'('of_nat$','fun_app$c'('g$','n$')) = 'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')) ),
inference(negated_conjecture,[],[f47]) ).
tff(f47,conjecture,
'fun_app$b'('of_nat$','fun_app$c'('g$','n$')) = 'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')),
file('/export/starexec/sandbox/tmp/tmp.SAgutddfOq/Vampire---4.8_32649',conjecture46) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.16 % 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
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 19:04:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 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/tmp/tmp.SAgutddfOq/Vampire---4.8_32649
% 0.56/0.77 % (684)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.77 % (675)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 Vampire---4 for (2996ds/34Mi)
% 0.56/0.77 % (679)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.77 % (678)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 Vampire---4 for (2996ds/51Mi)
% 0.56/0.77 % (681)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 Vampire---4 for (2996ds/34Mi)
% 0.56/0.77 % (682)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.77 % (680)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.77 % (683)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 Vampire---4 for (2996ds/83Mi)
% 0.56/0.78 % (684)First to succeed.
% 0.56/0.78 % (684)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-442"
% 0.61/0.78 % (684)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (684)------------------------------
% 0.61/0.78 % (684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (684)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (684)Memory used [KB]: 1781
% 0.61/0.78 % (684)Time elapsed: 0.012 s
% 0.61/0.78 % (684)Instructions burned: 43 (million)
% 0.61/0.78 % (442)Success in time 0.395 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------