TSTP Solution File: DAT159^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT159^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 19:51:40 EDT 2024
% Result : Theorem 0.72s 0.53s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 184
% Syntax : Number of formulae : 205 ( 22 unt; 180 typ; 0 def)
% Number of atoms : 114 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 16 ( 13 ~; 3 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 422 ( 421 >; 1 *; 0 +; 0 <<)
% Number of symbols : 177 ( 174 usr; 3 con; 0-6 aty)
% Number of variables : 193 ( 0 ^ 7 !; 0 ?; 193 :)
% ( 186 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
itself: $tType > $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
code_natural: $tType ).
thf(type_def_8,type,
nat: $tType ).
thf(type_def_9,type,
int: $tType ).
thf(type_def_10,type,
real: $tType ).
thf(func_def_0,type,
code_natural: $tType ).
thf(func_def_1,type,
real: $tType ).
thf(func_def_2,type,
nat: $tType ).
thf(func_def_3,type,
int: $tType ).
thf(func_def_4,type,
itself: $tType > $tType ).
thf(func_def_5,type,
type:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_6,type,
zero:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_7,type,
field:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_8,type,
ord:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_9,type,
order:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_10,type,
no_bot:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_11,type,
no_top:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_12,type,
semiring_1:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_13,type,
linorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_14,type,
preorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_15,type,
zero_neq_one:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_16,type,
semiring_char_0:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_17,type,
wellorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_18,type,
division_ring:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_19,type,
dense_order:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_20,type,
linordered_idom:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_21,type,
linordered_field:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_22,type,
dense_linorder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_23,type,
linordered_semidom:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_24,type,
semiri134348788visors:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_25,type,
archim1804426504_field:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_26,type,
canoni770627133id_add:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_27,type,
condit1656338222tinuum:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_28,type,
condit1037483654norder:
!>[X0: $tType] : ( itself(X0) > $o ) ).
thf(func_def_29,type,
code_case_natural:
!>[X0: $tType] : ( X0 > ( code_natural > X0 ) > code_natural > X0 ) ).
thf(func_def_30,type,
code_size_natural: code_natural > nat ).
thf(func_def_31,type,
inverse_inverse:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_32,type,
zero_zero:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
hammin1195055315smooth: nat > $o ).
thf(func_def_34,type,
if:
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_35,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
thf(func_def_36,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
thf(func_def_37,type,
ord_less:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_38,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_39,type,
power_power:
!>[X0: $tType] : ( X0 > nat > X0 ) ).
thf(func_def_40,type,
type2:
!>[X0: $tType] : itself(X0) ).
thf(func_def_41,type,
zero_neq_one_of_bool:
!>[X0: $tType] : ( $o > X0 ) ).
thf(func_def_42,type,
n: nat ).
thf(func_def_46,type,
vOR: $o > $o > $o ).
thf(func_def_47,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_48,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_49,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_50,type,
vAND: $o > $o > $o ).
thf(func_def_51,type,
vNOT: $o > $o ).
thf(func_def_52,type,
vIMP: $o > $o > $o ).
thf(func_def_53,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_54,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_55,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_56,type,
sP0:
!>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > $o ) ).
thf(func_def_57,type,
sP1:
!>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > $o ) ).
thf(func_def_58,type,
sP2:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_59,type,
sP3:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_60,type,
sP4:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_61,type,
sP5:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_62,type,
sP6:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_63,type,
sP7:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_64,type,
sP8:
!>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).
thf(func_def_65,type,
sP9:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > $o ) ).
thf(func_def_66,type,
sP10:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_67,type,
sP11:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_68,type,
sP12:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_69,type,
sP13:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).
thf(func_def_70,type,
sP14: nat > ( nat > $o ) > $o ).
thf(func_def_71,type,
sP15: ( nat > $o ) > $o ).
thf(func_def_72,type,
sP16:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > $o ) ).
thf(func_def_73,type,
sP17: nat > real > $o ).
thf(func_def_74,type,
sP18:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > $o ) ).
thf(func_def_75,type,
sP19:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > nat > $o ) ).
thf(func_def_76,type,
sK20:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_77,type,
sK21:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_78,type,
sK22:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_79,type,
sK23:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_80,type,
sK24:
!>[X0: $tType] : ( X0 > nat ) ).
thf(func_def_81,type,
sK25:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_82,type,
sK26:
!>[X0: $tType] : ( X0 > nat ) ).
thf(func_def_83,type,
sK27:
!>[X0: $tType] : ( X0 > nat ) ).
thf(func_def_84,type,
sK28:
!>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_85,type,
sK29:
!>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > X0 ) ).
thf(func_def_86,type,
sK30:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_87,type,
sK31:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_88,type,
sK32:
!>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).
thf(func_def_89,type,
sK33:
!>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).
thf(func_def_90,type,
sK34:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_91,type,
sK35:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_92,type,
sK36:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_93,type,
sK37:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_94,type,
sK38:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_95,type,
sK39:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_96,type,
sK40:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_97,type,
sK41:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_98,type,
sK42:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_99,type,
sK43:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_100,type,
sK44:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_101,type,
sK45:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_102,type,
sK46:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_103,type,
sK47:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_104,type,
sK48:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_105,type,
sK49:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_106,type,
sK50:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_107,type,
sK51:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_108,type,
sK52:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_109,type,
sK53:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_110,type,
sK54:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_111,type,
sK55:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_112,type,
sK56:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_113,type,
sK57:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_114,type,
sK58:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_115,type,
sK59:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_116,type,
sK60:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_117,type,
sK61:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_118,type,
sK62:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_119,type,
sK63:
!>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_120,type,
sK64: int > nat ).
thf(func_def_121,type,
sK65: int > nat ).
thf(func_def_122,type,
sK66: int > nat ).
thf(func_def_123,type,
sK67: int > nat ).
thf(func_def_124,type,
sK68:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_125,type,
sK69:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_126,type,
sK70:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_127,type,
sK71:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_128,type,
sK72:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_129,type,
sK73:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_130,type,
sK74:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_131,type,
sK75:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_132,type,
sK76:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_133,type,
sK77:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_134,type,
sK78:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_135,type,
sK79:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_136,type,
sK80:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_137,type,
sK81:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_138,type,
sK82:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_139,type,
sK83:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).
thf(func_def_140,type,
sK84:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_141,type,
sK85:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_142,type,
sK86:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_143,type,
sK87:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_144,type,
sK88:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_145,type,
sK89:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_146,type,
sK90:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_147,type,
sK91:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).
thf(func_def_148,type,
sK92: nat > ( nat > $o ) > nat ).
thf(func_def_149,type,
sK93: ( nat > $o ) > nat ).
thf(func_def_150,type,
sK94: ( nat > $o ) > nat ).
thf(func_def_151,type,
sK95: ( nat > $o ) > nat ).
thf(func_def_152,type,
sK96:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_153,type,
sK97:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_154,type,
sK98:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_155,type,
sK99:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 ) ).
thf(func_def_156,type,
sK100:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_157,type,
sK101:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 ) ).
thf(func_def_158,type,
sK102:
!>[X0: $tType,X1: $tType] : ( ( ( X1 > X0 ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_159,type,
sK103:
!>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).
thf(func_def_160,type,
sK104:
!>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).
thf(func_def_161,type,
sK105:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_162,type,
sK106: nat > real > real ).
thf(func_def_163,type,
sK107: ( nat > nat ) > nat ).
thf(func_def_164,type,
sK108: ( nat > nat ) > nat ).
thf(func_def_165,type,
sK109:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).
thf(func_def_166,type,
sK110:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > X0 ) ).
thf(func_def_167,type,
sK111:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).
thf(func_def_168,type,
sK112:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > X0 ) ).
thf(func_def_169,type,
sK113:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > X0 ) ).
thf(func_def_170,type,
sK114:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > nat > X0 ) ).
thf(func_def_171,type,
sK115:
!>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).
thf(func_def_172,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_173,type,
sK116: ( int > $o ) > nat ).
thf(func_def_174,type,
sK117: ( int > $o ) > int ).
thf(func_def_175,type,
sK118: ( int > $o ) > int ).
thf(func_def_176,type,
sK119: ( int > $o ) > nat ).
thf(f2489,plain,
$false,
inference(subsumption_resolution,[],[f2476,f1533]) ).
thf(f1533,plain,
vAPP(nat,$o,hammin1195055315smooth,n) = $true,
inference(cnf_transformation,[],[f330]) ).
thf(f330,plain,
vAPP(nat,$o,hammin1195055315smooth,n) = $true,
inference(fool_elimination,[],[f329]) ).
thf(f329,plain,
vAPP(nat,$o,hammin1195055315smooth,n),
inference(rectify,[],[f322]) ).
thf(f322,axiom,
vAPP(nat,$o,hammin1195055315smooth,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f2476,plain,
vAPP(nat,$o,hammin1195055315smooth,n) != $true,
inference(superposition,[],[f1541,f2455]) ).
thf(f2455,plain,
zero_zero(nat) = n,
inference(unit_resulting_resolution,[],[f1532,f2332]) ).
thf(f2332,plain,
! [X0: nat] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) )
| ( zero_zero(nat) = X0 ) ),
inference(equality_proxy_clausification,[],[f2331]) ).
thf(f2331,plain,
! [X0: nat] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),zero_zero(nat)),X0) ) ),
inference(not_proxy_clausification,[],[f2327]) ).
thf(f2327,plain,
! [X0: nat] :
( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) )
| ( $false = vAPP($o,$o,vNOT,vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),zero_zero(nat)),X0)) ) ),
inference(binary_proxy_clausification,[],[f1543]) ).
thf(f1543,plain,
! [X0: nat] : ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) = vAPP($o,$o,vNOT,vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),zero_zero(nat)),X0)) ),
inference(cnf_transformation,[],[f340]) ).
thf(f340,plain,
! [X0: nat] : ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) = vAPP($o,$o,vNOT,vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),zero_zero(nat)),X0)) ),
inference(fool_elimination,[],[f339]) ).
thf(f339,plain,
! [X0: nat] :
( ( zero_zero(nat) != X0 )
= vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X0) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X2: nat] :
( ( zero_zero(nat) != X2 )
= vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_neq0__conv) ).
thf(f1532,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n) != $true,
inference(cnf_transformation,[],[f953]) ).
thf(f953,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n) != $true,
inference(flattening,[],[f328]) ).
thf(f328,plain,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n) != $true,
inference(fool_elimination,[],[f327]) ).
thf(f327,plain,
~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n),
inference(rectify,[],[f324]) ).
thf(f324,negated_conjecture,
~ vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n),
inference(negated_conjecture,[],[f323]) ).
thf(f323,conjecture,
vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),zero_zero(nat)),n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f1541,plain,
vAPP(nat,$o,hammin1195055315smooth,zero_zero(nat)) != $true,
inference(cnf_transformation,[],[f954]) ).
thf(f954,plain,
vAPP(nat,$o,hammin1195055315smooth,zero_zero(nat)) != $true,
inference(flattening,[],[f336]) ).
thf(f336,plain,
vAPP(nat,$o,hammin1195055315smooth,zero_zero(nat)) != $true,
inference(fool_elimination,[],[f335]) ).
thf(f335,plain,
~ vAPP(nat,$o,hammin1195055315smooth,zero_zero(nat)),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
~ vAPP(nat,$o,hammin1195055315smooth,zero_zero(nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_smooth__0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : DAT159^1 : TPTP v8.2.0. Released v7.0.0.
% 0.17/0.17 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.18/0.39 % Computer : n009.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Sun May 19 23:22:53 EDT 2024
% 0.18/0.40 % CPUTime :
% 0.18/0.40 % (18303)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44 % (18310)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.18/0.45 % (18306)WARNING: value z3 for option sas not known
% 0.18/0.45 % (18304)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.45 % (18306)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.45 % (18309)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.18/0.46 % (18308)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.18/0.46 % (18305)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.46 % (18307)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.26/0.47 % (18310)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.26/0.50 % Exception at run slice level
% 0.26/0.50 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.26/0.51 % Exception at run slice level
% 0.26/0.51 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.26/0.51 % Exception at run slice level
% 0.26/0.51 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.72/0.53 % (18312)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.72/0.53 % (18313)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.72/0.53 % (18310)First to succeed.
% 0.72/0.53 % (18310)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18303"
% 0.72/0.53 % (18310)Refutation found. Thanks to Tanya!
% 0.72/0.53 % SZS status Theorem for theBenchmark
% 0.72/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.53 % (18310)------------------------------
% 0.72/0.53 % (18310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.53 % (18310)Termination reason: Refutation
% 0.72/0.53
% 0.72/0.53 % (18310)Memory used [KB]: 2331
% 0.72/0.53 % (18310)Time elapsed: 0.089 s
% 0.72/0.53 % (18310)Instructions burned: 200 (million)
% 0.72/0.53 % (18303)Success in time 0.127 s
%------------------------------------------------------------------------------