TSTP Solution File: ITP060^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP060^1 : TPTP v8.2.0. Released v7.5.0.
% 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 : n025.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 22:33:15 EDT 2024
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 147
% Syntax : Number of formulae : 168 ( 14 unt; 142 typ; 0 def)
% Number of atoms : 70 ( 29 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 220 ( 14 ~; 6 |; 0 &; 194 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 697 ( 697 >; 0 *; 0 +; 0 <<)
% Number of symbols : 135 ( 132 usr; 13 con; 0-4 aty)
% Number of variables : 21 ( 0 ^ 20 !; 0 ?; 21 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
config256849571t_unit: $tType ).
thf(type_def_6,type,
message_p_v: $tType ).
thf(type_def_8,type,
list_c1059388851t_unit: $tType ).
thf(type_def_9,type,
list_message_p_v: $tType ).
thf(type_def_10,type,
nat: $tType ).
thf(func_def_0,type,
list_c1059388851t_unit: $tType ).
thf(func_def_1,type,
config256849571t_unit: $tType ).
thf(func_def_2,type,
list_message_p_v: $tType ).
thf(func_def_3,type,
message_p_v: $tType ).
thf(func_def_4,type,
nat: $tType ).
thf(func_def_5,type,
enabled_p_v_s: config256849571t_unit > message_p_v > $o ).
thf(func_def_6,type,
firstO1414030372_p_v_s: list_c1059388851t_unit > list_message_p_v > message_p_v > nat > $o ).
thf(func_def_7,type,
fLPThe1519354920_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_c1059388851t_unit ).
thf(func_def_8,type,
fLPThe536531371_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_message_p_v ).
thf(func_def_9,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_10,type,
one_one_nat: nat ).
thf(func_def_11,type,
zero_zero_nat: nat ).
thf(func_def_12,type,
prefix1615116500t_unit: list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_13,type,
prefix47729710ge_p_v: list_message_p_v > list_message_p_v > $o ).
thf(func_def_14,type,
last_c571238084t_unit: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_15,type,
last_message_p_v: list_message_p_v > message_p_v ).
thf(func_def_16,type,
nil_co1338500125t_unit: list_c1059388851t_unit ).
thf(func_def_17,type,
nil_message_p_v: list_message_p_v ).
thf(func_def_18,type,
nth_co1649820636t_unit: list_c1059388851t_unit > nat > config256849571t_unit ).
thf(func_def_19,type,
nth_message_p_v: list_message_p_v > nat > message_p_v ).
thf(func_def_20,type,
suc: nat > nat ).
thf(func_def_21,type,
size_s1406904903t_unit: list_c1059388851t_unit > nat ).
thf(func_def_22,type,
size_s1168481041ge_p_v: list_message_p_v > nat ).
thf(func_def_23,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_24,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_25,type,
fe: nat > list_c1059388851t_unit ).
thf(func_def_26,type,
ft: nat > list_message_p_v ).
thf(func_def_27,type,
index: nat ).
thf(func_def_28,type,
msgInSet: message_p_v ).
thf(func_def_29,type,
msg: message_p_v ).
thf(func_def_30,type,
n0: nat ).
thf(func_def_31,type,
n1: nat ).
thf(func_def_32,type,
nMsg: nat ).
thf(func_def_33,type,
n: nat ).
thf(func_def_47,type,
sP0: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > $o ).
thf(func_def_48,type,
sP1: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > $o ).
thf(func_def_49,type,
sK2: nat > ( nat > message_p_v > $o ) > list_message_p_v ).
thf(func_def_50,type,
sK3: nat > ( nat > message_p_v > $o ) > nat ).
thf(func_def_51,type,
sK4: nat > ( nat > message_p_v > $o ) > message_p_v ).
thf(func_def_52,type,
sK5: list_message_p_v > nat > ( nat > message_p_v > $o ) > nat ).
thf(func_def_53,type,
sK6: ( nat > $o ) > nat ).
thf(func_def_54,type,
sK7: ( nat > $o ) > nat > nat ).
thf(func_def_55,type,
sK8: list_message_p_v > list_message_p_v > nat ).
thf(func_def_56,type,
sK9: ( nat > $o ) > nat ).
thf(func_def_57,type,
sK10: nat > nat ).
thf(func_def_58,type,
sK11: nat > nat ).
thf(func_def_59,type,
sK12: ( nat > $o ) > nat ).
thf(func_def_60,type,
sK13: ( nat > nat ) > nat ).
thf(func_def_61,type,
sK14: ( nat > nat ) > nat ).
thf(func_def_62,type,
sK15: ( nat > $o ) > nat ).
thf(func_def_63,type,
sK16: ( nat > nat ) > nat ).
thf(func_def_64,type,
sK17: nat > nat > nat ).
thf(func_def_65,type,
sK18: list_c1059388851t_unit > list_c1059388851t_unit > nat ).
thf(func_def_66,type,
sK19: ( nat > nat ) > nat ).
thf(func_def_67,type,
sK20: nat > nat > nat ).
thf(func_def_68,type,
sK21: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).
thf(func_def_69,type,
sK22: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_70,type,
sK23: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_71,type,
sK24: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_72,type,
sK25: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_73,type,
sK26: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_74,type,
sK27: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_75,type,
sK28: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_76,type,
sK29: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_77,type,
sK30: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).
thf(func_def_78,type,
sK31: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_79,type,
sK32: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_80,type,
sK33: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_81,type,
sK34: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_82,type,
sK35: nat > nat ).
thf(func_def_83,type,
sK36: ( nat > $o ) > nat > nat > nat ).
thf(func_def_84,type,
sK37: ( nat > $o ) > nat > nat ).
thf(func_def_85,type,
sK38: ( nat > $o ) > nat > nat ).
thf(func_def_86,type,
sK39: nat > list_c1059388851t_unit ).
thf(func_def_87,type,
sK40: ( nat > $o ) > nat ).
thf(func_def_88,type,
sK41: nat > nat > nat ).
thf(func_def_89,type,
sK42: nat > ( nat > $o ) > nat ).
thf(func_def_90,type,
sK43: nat > ( nat > $o ) > nat ).
thf(func_def_91,type,
sK44: ( nat > nat > $o ) > nat ).
thf(func_def_92,type,
sK45: ( nat > nat > $o ) > nat ).
thf(func_def_93,type,
sK46: ( nat > nat > $o ) > nat ).
thf(func_def_94,type,
sK47: ( nat > nat > $o ) > nat ).
thf(func_def_95,type,
sK48: ( nat > $o ) > nat > ( nat > $o ) > nat ).
thf(func_def_96,type,
sK49: nat > ( nat > $o ) > nat ).
thf(func_def_97,type,
sK50: nat > nat > nat ).
thf(func_def_98,type,
sK51: ( nat > nat > $o ) > nat ).
thf(func_def_99,type,
sK52: ( nat > nat > $o ) > nat ).
thf(func_def_100,type,
sK53: ( nat > nat > $o ) > nat ).
thf(func_def_101,type,
sK54: ( nat > nat > $o ) > nat ).
thf(func_def_102,type,
sK55: ( nat > nat > $o ) > nat ).
thf(func_def_103,type,
sK56: nat > nat ).
thf(func_def_104,type,
sK57: ( nat > nat ) > nat ).
thf(func_def_105,type,
sK58: nat > ( nat > $o ) > nat ).
thf(func_def_106,type,
sK59: nat > ( nat > $o ) > nat ).
thf(func_def_107,type,
sK60: nat > nat > ( nat > $o ) > nat ).
thf(func_def_108,type,
sK61: nat > ( nat > $o ) > nat ).
thf(func_def_109,type,
sK62: nat > ( nat > $o ) > nat ).
thf(func_def_110,type,
sK63: ( nat > $o ) > nat ).
thf(func_def_111,type,
sK64: ( nat > $o ) > nat ).
thf(func_def_112,type,
sK65: ( nat > nat > $o ) > nat ).
thf(func_def_113,type,
sK66: ( nat > nat > $o ) > nat ).
thf(func_def_114,type,
sK67: ( nat > nat > $o ) > nat ).
thf(func_def_115,type,
sK68: ( nat > nat > $o ) > nat ).
thf(func_def_116,type,
sK69: ( list_message_p_v > $o ) > list_message_p_v ).
thf(func_def_117,type,
sK70: ( nat > $o ) > nat > nat ).
thf(func_def_118,type,
sK71: ( nat > $o ) > nat > nat ).
thf(func_def_119,type,
sK72: ( nat > nat ) > nat ).
thf(func_def_120,type,
sK73: ( nat > $o ) > nat ).
thf(func_def_121,type,
sK74: ( nat > $o ) > nat ).
thf(func_def_122,type,
sK75: nat > list_message_p_v ).
thf(func_def_123,type,
sK76: ( nat > $o ) > nat ).
thf(func_def_124,type,
sK77: ( nat > $o ) > nat > nat ).
thf(func_def_125,type,
sK78: nat > ( nat > $o ) > nat ).
thf(func_def_126,type,
sK79: ( nat > $o ) > nat ).
thf(func_def_127,type,
sK80: nat > ( nat > $o ) > nat ).
thf(func_def_128,type,
sK81: nat > ( nat > config256849571t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_129,type,
sK82: nat > ( nat > config256849571t_unit > $o ) > nat ).
thf(func_def_130,type,
sK83: nat > ( nat > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_131,type,
sK84: list_c1059388851t_unit > nat > ( nat > config256849571t_unit > $o ) > nat ).
thf(func_def_132,type,
sK85: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_133,type,
sK86: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_134,type,
sK87: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).
thf(func_def_135,type,
sK88: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_136,type,
sK89: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > nat ).
thf(func_def_137,type,
sK90: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_138,type,
sK91: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_139,type,
sK92: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_140,type,
sK93: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_141,type,
sK94: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_142,type,
sK95: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_143,type,
sK96: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(func_def_144,type,
sK97: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > config256849571t_unit ).
thf(func_def_145,type,
sK98: ( config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > $o ) > list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(func_def_146,type,
sK99: ( nat > $o ) > nat ).
thf(func_def_147,type,
sK100: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_148,type,
sK101: nat > nat ).
thf(func_def_150,type,
ph103:
!>[X0: $tType] : X0 ).
thf(f1455,plain,
$false,
inference(subsumption_resolution,[],[f1438,f1241]) ).
thf(f1241,plain,
( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
= $true ),
inference(cnf_transformation,[],[f323]) ).
thf(f323,plain,
( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
= $true ),
inference(fool_elimination,[],[f322]) ).
thf(f322,plain,
ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Occ3_H) ).
thf(f1438,plain,
( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
!= $true ),
inference(trivial_inequality_removal,[],[f1436]) ).
thf(f1436,plain,
( ( $true != $true )
| ( ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
!= $true ) ),
inference(superposition,[],[f1420,f1094]) ).
thf(f1094,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ( ord_less_nat @ ( minus_minus_nat @ X2 @ X0 ) @ X1 )
= $true )
| ( ( ord_less_nat @ X2 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f715]) ).
thf(f715,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( ord_less_nat @ X2 @ X1 )
!= $true )
| ( ( ord_less_nat @ ( minus_minus_nat @ X2 @ X0 ) @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f331]) ).
thf(f331,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( ord_less_nat @ X2 @ X1 )
= $true )
=> ( ( ord_less_nat @ ( minus_minus_nat @ X2 @ X0 ) @ X1 )
= $true ) ),
inference(fool_elimination,[],[f330]) ).
thf(f330,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ord_less_nat @ X2 @ X1 )
=> ( ord_less_nat @ ( minus_minus_nat @ X2 @ X0 ) @ X1 ) ),
inference(rectify,[],[f155]) ).
thf(f155,axiom,
! [X1: nat,X3: nat,X24: nat] :
( ( ord_less_nat @ X24 @ X3 )
=> ( ord_less_nat @ ( minus_minus_nat @ X24 @ X1 ) @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_less__imp__diff__less) ).
thf(f1420,plain,
( $true
!= ( ord_less_nat @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) @ ( size_s1406904903t_unit @ ( fe @ index ) ) ) ),
inference(trivial_inequality_removal,[],[f1419]) ).
thf(f1419,plain,
( ( $true
!= ( ord_less_nat @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) @ ( size_s1406904903t_unit @ ( fe @ index ) ) ) )
| ( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) )
!= ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) ) ) ),
inference(superposition,[],[f1373,f1323]) ).
thf(f1323,plain,
! [X0: nat] :
( ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X0 )
= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X0 ) )
| ( ( ord_less_nat @ X0 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f734]) ).
thf(f734,plain,
! [X0: nat] :
( ( ( ord_less_nat @ X0 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
!= $true )
| ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X0 )
= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X0 ) ) ),
inference(ennf_transformation,[],[f351]) ).
thf(f351,plain,
! [X0: nat] :
( ( ( ord_less_nat @ X0 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
= $true )
=> ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X0 )
= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X0 ) ) ),
inference(fool_elimination,[],[f350]) ).
thf(f350,plain,
! [X0: nat] :
( ( ord_less_nat @ X0 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
=> ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X0 )
= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: nat] :
( ( ord_less_nat @ X0 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
=> ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X0 )
= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_SameCfgOnLow) ).
thf(f1373,plain,
( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) )
!= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ ( suc @ zero_zero_nat ) ) ) ),
inference(definition_unfolding,[],[f1345,f1235,f1235]) ).
thf(f1235,plain,
( one_one_nat
= ( suc @ zero_zero_nat ) ),
inference(cnf_transformation,[],[f137]) ).
thf(f137,axiom,
( one_one_nat
= ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_One__nat__def) ).
thf(f1345,plain,
( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
!= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
inference(cnf_transformation,[],[f638]) ).
thf(f638,plain,
( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
!= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
inference(flattening,[],[f246]) ).
thf(f246,negated_conjecture,
( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
!= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
inference(negated_conjecture,[],[f245]) ).
thf(f245,conjecture,
( ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP060^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 17:40:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.41 % (4998)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.41 % (5000)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.41 % (5004)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (5001)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.41 % (4999)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.41 % (5003)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.41 % (4997)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.41 % (5002)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.41 % (5000)Instruction limit reached!
% 0.22/0.41 % (5000)------------------------------
% 0.22/0.41 % (5000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (5000)Termination reason: Unknown
% 0.22/0.41 % (5000)Termination phase: shuffling
% 0.22/0.41 % (5001)Instruction limit reached!
% 0.22/0.41 % (5001)------------------------------
% 0.22/0.41 % (5001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (5001)Termination reason: Unknown
% 0.22/0.41 % (5001)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (5001)Memory used [KB]: 1279
% 0.22/0.41 % (5001)Time elapsed: 0.004 s
% 0.22/0.41 % (5001)Instructions burned: 2 (million)
% 0.22/0.41 % (5001)------------------------------
% 0.22/0.41 % (5001)------------------------------
% 0.22/0.41
% 0.22/0.41 % (5000)Memory used [KB]: 1151
% 0.22/0.41 % (5000)Time elapsed: 0.005 s
% 0.22/0.41 % (5000)Instructions burned: 2 (million)
% 0.22/0.41 % (5000)------------------------------
% 0.22/0.41 % (5000)------------------------------
% 0.22/0.41 % (5004)Instruction limit reached!
% 0.22/0.41 % (5004)------------------------------
% 0.22/0.41 % (5004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (4998)Instruction limit reached!
% 0.22/0.41 % (4998)------------------------------
% 0.22/0.41 % (4998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (4998)Termination reason: Unknown
% 0.22/0.41 % (4998)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (4998)Memory used [KB]: 1279
% 0.22/0.41 % (4998)Time elapsed: 0.006 s
% 0.22/0.41 % (4998)Instructions burned: 4 (million)
% 0.22/0.41 % (4998)------------------------------
% 0.22/0.41 % (4998)------------------------------
% 0.22/0.41 % (5004)Termination reason: Unknown
% 0.22/0.41 % (5004)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (5004)Memory used [KB]: 1279
% 0.22/0.41 % (5004)Time elapsed: 0.006 s
% 0.22/0.41 % (5004)Instructions burned: 3 (million)
% 0.22/0.41 % (5004)------------------------------
% 0.22/0.41 % (5004)------------------------------
% 0.22/0.43 % (5003)Instruction limit reached!
% 0.22/0.43 % (5003)------------------------------
% 0.22/0.43 % (5003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (5003)Termination reason: Unknown
% 0.22/0.43 % (5003)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (5003)Memory used [KB]: 1535
% 0.22/0.43 % (5003)Time elapsed: 0.020 s
% 0.22/0.43 % (5003)Instructions burned: 18 (million)
% 0.22/0.43 % (5003)------------------------------
% 0.22/0.43 % (5003)------------------------------
% 0.22/0.44 % (4999)Instruction limit reached!
% 0.22/0.44 % (4999)------------------------------
% 0.22/0.44 % (4999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (4999)Termination reason: Unknown
% 0.22/0.44 % (4999)Termination phase: Preprocessing 3
% 0.22/0.44
% 0.22/0.44 % (4999)Memory used [KB]: 1663
% 0.22/0.44 % (4999)Time elapsed: 0.027 s
% 0.22/0.44 % (4999)Instructions burned: 27 (million)
% 0.22/0.44 % (4999)------------------------------
% 0.22/0.44 % (4999)------------------------------
% 0.22/0.44 % (5007)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (5005)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.44 % (5006)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.44 % (5008)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.44 % (5007)Instruction limit reached!
% 0.22/0.44 % (5007)------------------------------
% 0.22/0.44 % (5007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (5007)Termination reason: Unknown
% 0.22/0.44 % (5007)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (5007)Memory used [KB]: 1279
% 0.22/0.44 % (5007)Time elapsed: 0.005 s
% 0.22/0.44 % (5007)Instructions burned: 3 (million)
% 0.22/0.44 % (5007)------------------------------
% 0.22/0.44 % (5007)------------------------------
% 0.22/0.45 % (5009)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.45 % (5010)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.45 % (5006)Instruction limit reached!
% 0.22/0.45 % (5006)------------------------------
% 0.22/0.45 % (5006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (5006)Termination reason: Unknown
% 0.22/0.45 % (5006)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (5006)Memory used [KB]: 1535
% 0.22/0.45 % (5006)Time elapsed: 0.016 s
% 0.22/0.45 % (5006)Instructions burned: 15 (million)
% 0.22/0.45 % (5006)------------------------------
% 0.22/0.45 % (5006)------------------------------
% 0.22/0.45 % (5009)Instruction limit reached!
% 0.22/0.45 % (5009)------------------------------
% 0.22/0.45 % (5009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (5009)Termination reason: Unknown
% 0.22/0.45 % (5009)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (5009)Memory used [KB]: 1407
% 0.22/0.45 % (5009)Time elapsed: 0.007 s
% 0.22/0.45 % (5009)Instructions burned: 7 (million)
% 0.22/0.45 % (5009)------------------------------
% 0.22/0.45 % (5009)------------------------------
% 0.22/0.46 % (5011)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.46 % (5011)Instruction limit reached!
% 0.22/0.46 % (5011)------------------------------
% 0.22/0.46 % (5011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (5011)Termination reason: Unknown
% 0.22/0.46 % (5011)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (5011)Memory used [KB]: 1279
% 0.22/0.46 % (5011)Time elapsed: 0.004 s
% 0.22/0.46 % (5011)Instructions burned: 3 (million)
% 0.22/0.46 % (5011)------------------------------
% 0.22/0.46 % (5011)------------------------------
% 0.22/0.46 % (5005)Instruction limit reached!
% 0.22/0.46 % (5005)------------------------------
% 0.22/0.46 % (5005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (5005)Termination reason: Unknown
% 0.22/0.46 % (5005)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (5005)Memory used [KB]: 1791
% 0.22/0.46 % (5005)Time elapsed: 0.024 s
% 0.22/0.46 % (5005)Instructions burned: 37 (million)
% 0.22/0.46 % (5005)------------------------------
% 0.22/0.46 % (5005)------------------------------
% 0.22/0.46 % (5010)Instruction limit reached!
% 0.22/0.46 % (5010)------------------------------
% 0.22/0.46 % (5010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (5010)Termination reason: Unknown
% 0.22/0.46 % (5010)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (5010)Memory used [KB]: 1535
% 0.22/0.46 % (5010)Time elapsed: 0.011 s
% 0.22/0.46 % (5010)Instructions burned: 16 (million)
% 0.22/0.46 % (5010)------------------------------
% 0.22/0.46 % (5010)------------------------------
% 0.22/0.47 % (5012)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.47 % (5002)First to succeed.
% 0.22/0.47 % (5013)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.22/0.47 % (5012)Instruction limit reached!
% 0.22/0.47 % (5012)------------------------------
% 0.22/0.47 % (5012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (5012)Termination reason: Unknown
% 0.22/0.47 % (5012)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (5012)Memory used [KB]: 1279
% 0.22/0.47 % (5012)Time elapsed: 0.004 s
% 0.22/0.47 % (5012)Instructions burned: 4 (million)
% 0.22/0.47 % (5012)------------------------------
% 0.22/0.47 % (5012)------------------------------
% 0.22/0.47 % (5014)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.47 % (5002)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (5002)------------------------------
% 0.22/0.48 % (5002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (5002)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (5002)Memory used [KB]: 6780
% 0.22/0.48 % (5002)Time elapsed: 0.064 s
% 0.22/0.48 % (5002)Instructions burned: 84 (million)
% 0.22/0.48 % (5002)------------------------------
% 0.22/0.48 % (5002)------------------------------
% 0.22/0.48 % (4996)Success in time 0.12 s
% 0.22/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------