%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP194^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:11:03 AM UTC 2026
% Result : Theorem 101.55s 14.69s
% Output : Refutation 101.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 22
% Syntax : Number of formulae : 164 ( 48 unt; 0 typ; 6 def)
% Number of atoms : 570 ( 236 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 809 ( 140 ~; 114 |; 11 &; 514 @)
% ( 6 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 230 ( 227 usr; 23 con; 0-6 aty)
% Number of variables : 154 ( 0 sgn 122 !; 2 ?; 154 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
poly_poly_poly_real: $tType ).
thf(type_def_6,type,
poly_poly_real: $tType ).
thf(type_def_7,type,
poly_poly_nat: $tType ).
thf(type_def_8,type,
poly_real: $tType ).
thf(type_def_9,type,
poly_nat: $tType ).
thf(type_def_10,type,
set_real: $tType ).
thf(type_def_11,type,
real: $tType ).
thf(type_def_12,type,
nat: $tType ).
thf(type_def_13,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
sgn_sg2128174761y_real: poly_poly_real > poly_poly_real ).
thf(func_def_1,type,
sgn_sgn_poly_real: poly_real > poly_real ).
thf(func_def_2,type,
sgn_sgn_real: real > real ).
thf(func_def_3,type,
zero_zero_nat: nat ).
thf(func_def_4,type,
zero_zero_poly_nat: poly_nat ).
thf(func_def_5,type,
zero_z1059985641ly_nat: poly_poly_nat ).
thf(func_def_6,type,
zero_z935034829y_real: poly_poly_poly_real ).
thf(func_def_7,type,
zero_z1423781445y_real: poly_poly_real ).
thf(func_def_8,type,
zero_zero_poly_real: poly_real ).
thf(func_def_9,type,
zero_zero_real: real ).
thf(func_def_10,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_11,type,
if_real: $o > real > real > real ).
thf(func_def_12,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_13,type,
ord_le38482960y_real: poly_poly_real > poly_poly_real > $o ).
thf(func_def_14,type,
ord_less_poly_real: poly_real > poly_real > $o ).
thf(func_def_15,type,
ord_less_real: real > real > $o ).
thf(func_def_16,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_17,type,
ord_le893774876y_real: poly_poly_real > poly_poly_real > $o ).
thf(func_def_18,type,
ord_le1180086932y_real: poly_real > poly_real > $o ).
thf(func_def_19,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_20,type,
ord_min_nat: nat > nat > nat ).
thf(func_def_21,type,
ord_min_real: real > real > real ).
thf(func_def_22,type,
divide924636027y_real: poly_poly_real > poly_poly_poly_real > poly_poly_poly_real > poly_poly_poly_real > nat > nat > poly_poly_poly_real ).
thf(func_def_23,type,
divide1142363123y_real: poly_real > poly_poly_real > poly_poly_real > poly_poly_real > nat > nat > poly_poly_real ).
thf(func_def_24,type,
divide1561404011n_real: real > poly_real > poly_real > poly_real > nat > nat > poly_real ).
thf(func_def_25,type,
is_zero_nat: poly_nat > $o ).
thf(func_def_26,type,
is_zero_poly_real: poly_poly_real > $o ).
thf(func_def_27,type,
is_zero_real: poly_real > $o ).
thf(func_def_28,type,
order_poly_poly_real: poly_poly_real > poly_poly_poly_real > nat ).
thf(func_def_29,type,
order_poly_real: poly_real > poly_poly_real > nat ).
thf(func_def_30,type,
order_real: real > poly_real > nat ).
thf(func_def_31,type,
poly_nat2: poly_nat > nat > nat ).
thf(func_def_32,type,
poly_poly_nat2: poly_poly_nat > poly_nat > poly_nat ).
thf(func_def_33,type,
poly_poly_poly_real2: poly_poly_poly_real > poly_poly_real > poly_poly_real ).
thf(func_def_34,type,
poly_poly_real2: poly_poly_real > poly_real > poly_real ).
thf(func_def_35,type,
poly_real2: poly_real > real > real ).
thf(func_def_36,type,
poly_cutoff_nat: nat > poly_nat > poly_nat ).
thf(func_def_37,type,
poly_c1404107022y_real: nat > poly_poly_real > poly_poly_real ).
thf(func_def_38,type,
poly_cutoff_real: nat > poly_real > poly_real ).
thf(func_def_39,type,
poly_shift_nat: nat > poly_nat > poly_nat ).
thf(func_def_40,type,
poly_shift_poly_real: nat > poly_poly_real > poly_poly_real ).
thf(func_def_41,type,
poly_shift_real: nat > poly_real > poly_real ).
thf(func_def_42,type,
reflect_poly_nat: poly_nat > poly_nat ).
thf(func_def_43,type,
reflec781175074ly_nat: poly_poly_nat > poly_poly_nat ).
thf(func_def_44,type,
reflec144234502y_real: poly_poly_poly_real > poly_poly_poly_real ).
thf(func_def_45,type,
reflec1522834046y_real: poly_poly_real > poly_poly_real ).
thf(func_def_46,type,
reflect_poly_real: poly_real > poly_real ).
thf(func_def_47,type,
collect_real: ( real > $o ) > set_real ).
thf(func_def_48,type,
sturm_1076696862f_real: poly_real > real ).
thf(func_def_49,type,
sturm_1308388506f_real: poly_real > real ).
thf(func_def_50,type,
member_real: real > set_real > $o ).
thf(func_def_51,type,
lb1: real ).
thf(func_def_52,type,
lb2: real ).
thf(func_def_53,type,
lb: real ).
thf(func_def_54,type,
p: poly_real ).
thf(func_def_55,type,
thesis: $o ).
thf(func_def_59,type,
vNOT: $o > $o ).
thf(func_def_60,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_61,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_62,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_64,type,
vAND: $o > $o > $o ).
thf(func_def_65,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_66,type,
vOR: $o > $o > $o ).
thf(func_def_67,type,
vIMP: $o > $o > $o ).
thf(func_def_68,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_69,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_70,type,
sP0: real > real > real > $o ).
thf(func_def_71,type,
sP1: real > real > real > $o ).
thf(func_def_72,type,
sP2: real > real > real > $o ).
thf(func_def_73,type,
sP3: nat > nat > nat > $o ).
thf(func_def_74,type,
sP4: nat > nat > nat > $o ).
thf(func_def_75,type,
sP5: nat > nat > nat > $o ).
thf(func_def_76,type,
sK6: real ).
thf(func_def_77,type,
sK7: poly_real > real > real > real ).
thf(func_def_78,type,
sK8: poly_real > real > real > real ).
thf(func_def_79,type,
sK9: real > real > real ).
thf(func_def_80,type,
sK10: real > poly_real > real ).
thf(func_def_81,type,
sK11: real > poly_real > real ).
thf(func_def_82,type,
sK12: real ).
thf(func_def_83,type,
sK13: real > real ).
thf(func_def_84,type,
sK14: real > real ).
thf(func_def_85,type,
sK15: set_real > real ).
thf(func_def_86,type,
sK16: real > set_real > real ).
thf(func_def_87,type,
sK17: real > set_real > real ).
thf(func_def_88,type,
sK18: poly_real > real ).
thf(func_def_89,type,
sK19: ( nat > $o ) > nat ).
thf(func_def_90,type,
sK20: nat > ( nat > $o ) > nat ).
thf(func_def_91,type,
sK21: ( nat > nat ) > nat ).
thf(func_def_92,type,
sK22: ( nat > nat ) > nat ).
thf(func_def_93,type,
sK23: ( nat > $o ) > nat ).
thf(func_def_94,type,
sK24: ( nat > $o ) > nat ).
thf(func_def_95,type,
sK25: ( nat > $o ) > nat ).
thf(func_def_96,type,
sK26: nat > ( nat > $o ) > nat ).
thf(func_def_97,type,
sK27: ( nat > $o ) > nat > nat ).
thf(func_def_98,type,
sK28: ( nat > $o ) > nat > nat ).
thf(func_def_99,type,
sK29: ( real > real > $o ) > real ).
thf(func_def_100,type,
sK30: ( real > real > $o ) > real ).
thf(func_def_101,type,
sK31: ( real > real > $o ) > real ).
thf(func_def_102,type,
sK32: ( real > real > $o ) > real ).
thf(func_def_103,type,
sK33: ( nat > nat > $o ) > nat ).
thf(func_def_104,type,
sK34: ( nat > nat > $o ) > nat ).
thf(func_def_105,type,
sK35: ( nat > nat > $o ) > nat ).
thf(func_def_106,type,
sK36: ( nat > nat > $o ) > nat ).
thf(func_def_107,type,
sK37: ( real > real ) > real ).
thf(func_def_108,type,
sK38: ( real > real ) > real ).
thf(func_def_109,type,
sK39: ( real > nat ) > real ).
thf(func_def_110,type,
sK40: ( real > nat ) > real ).
thf(func_def_111,type,
sK41: ( nat > real ) > nat ).
thf(func_def_112,type,
sK42: ( nat > real ) > nat ).
thf(func_def_113,type,
sK43: ( nat > nat ) > nat ).
thf(func_def_114,type,
sK44: ( nat > nat ) > nat ).
thf(func_def_115,type,
sK45: ( real > real ) > real ).
thf(func_def_116,type,
sK46: ( real > real ) > real ).
thf(func_def_117,type,
sK47: ( real > nat ) > real ).
thf(func_def_118,type,
sK48: ( real > nat ) > real ).
thf(func_def_119,type,
sK49: ( nat > real ) > nat ).
thf(func_def_120,type,
sK50: ( nat > real ) > nat ).
thf(func_def_121,type,
sK51: ( nat > nat ) > nat ).
thf(func_def_122,type,
sK52: ( nat > nat ) > nat ).
thf(func_def_123,type,
sK53: ( real > real ) > real ).
thf(func_def_124,type,
sK54: ( real > real ) > real ).
thf(func_def_125,type,
sK55: ( real > nat ) > real ).
thf(func_def_126,type,
sK56: ( real > nat ) > real ).
thf(func_def_127,type,
sK57: ( nat > real ) > nat ).
thf(func_def_128,type,
sK58: ( nat > real ) > nat ).
thf(func_def_129,type,
sK59: ( nat > nat ) > nat ).
thf(func_def_130,type,
sK60: ( nat > nat ) > nat ).
thf(func_def_131,type,
sK61: ( real > real ) > real ).
thf(func_def_132,type,
sK62: ( real > real ) > real ).
thf(func_def_133,type,
sK63: ( nat > real ) > nat ).
thf(func_def_134,type,
sK64: ( nat > real ) > nat ).
thf(func_def_135,type,
sK65: ( real > nat ) > real ).
thf(func_def_136,type,
sK66: ( real > nat ) > real ).
thf(func_def_137,type,
sK67: ( nat > nat ) > nat ).
thf(func_def_138,type,
sK68: ( nat > nat ) > nat ).
thf(func_def_139,type,
sK69: ( real > real ) > real ).
thf(func_def_140,type,
sK70: ( real > real ) > real ).
thf(func_def_141,type,
sK71: ( real > nat ) > real ).
thf(func_def_142,type,
sK72: ( real > nat ) > real ).
thf(func_def_143,type,
sK73: ( nat > real ) > nat ).
thf(func_def_144,type,
sK74: ( nat > real ) > nat ).
thf(func_def_145,type,
sK75: ( nat > nat ) > nat ).
thf(func_def_146,type,
sK76: ( nat > nat ) > nat ).
thf(func_def_147,type,
sK77: ( real > real ) > real ).
thf(func_def_148,type,
sK78: ( real > real ) > real ).
thf(func_def_149,type,
sK79: ( real > nat ) > real ).
thf(func_def_150,type,
sK80: ( real > nat ) > real ).
thf(func_def_151,type,
sK81: ( nat > real ) > nat ).
thf(func_def_152,type,
sK82: ( nat > real ) > nat ).
thf(func_def_153,type,
sK83: ( nat > nat ) > nat ).
thf(func_def_154,type,
sK84: ( nat > nat ) > nat ).
thf(func_def_155,type,
sK85: ( real > real ) > real ).
thf(func_def_156,type,
sK86: ( real > real ) > real ).
thf(func_def_157,type,
sK87: ( nat > real ) > nat ).
thf(func_def_158,type,
sK88: ( nat > real ) > nat ).
thf(func_def_159,type,
sK89: ( real > nat ) > real ).
thf(func_def_160,type,
sK90: ( real > nat ) > real ).
thf(func_def_161,type,
sK91: ( nat > nat ) > nat ).
thf(func_def_162,type,
sK92: ( nat > nat ) > nat ).
thf(func_def_163,type,
sK93: ( real > real ) > real ).
thf(func_def_164,type,
sK94: ( real > real ) > real ).
thf(func_def_165,type,
sK95: ( real > nat ) > real ).
thf(func_def_166,type,
sK96: ( real > nat ) > real ).
thf(func_def_167,type,
sK97: ( nat > real ) > nat ).
thf(func_def_168,type,
sK98: ( nat > real ) > nat ).
thf(func_def_169,type,
sK99: ( nat > nat ) > nat ).
thf(func_def_170,type,
sK100: ( nat > nat ) > nat ).
thf(func_def_171,type,
sK101: real > real ).
thf(func_def_172,type,
sK102: real > real ).
thf(func_def_173,type,
sK103: nat > nat ).
thf(func_def_174,type,
sK104: real > real > real ).
thf(func_def_175,type,
sK105: ( nat > $o ) > nat ).
thf(func_def_176,type,
sK106: ( real > real > $o ) > real ).
thf(func_def_177,type,
sK107: ( real > real > $o ) > real ).
thf(func_def_178,type,
sK108: ( real > real > $o ) > real ).
thf(func_def_179,type,
sK109: ( real > real > $o ) > real ).
thf(func_def_180,type,
sK110: ( real > real > $o ) > real ).
thf(func_def_181,type,
sK111: ( nat > nat > $o ) > nat ).
thf(func_def_182,type,
sK112: ( nat > nat > $o ) > nat ).
thf(func_def_183,type,
sK113: ( nat > nat > $o ) > nat ).
thf(func_def_184,type,
sK114: ( nat > nat > $o ) > nat ).
thf(func_def_185,type,
sK115: ( nat > nat > $o ) > nat ).
thf(func_def_186,type,
sK116: ( real > real ) > real ).
thf(func_def_187,type,
sK117: ( real > real ) > real ).
thf(func_def_188,type,
sK118: ( nat > real ) > nat ).
thf(func_def_189,type,
sK119: ( nat > real ) > nat ).
thf(func_def_190,type,
sK120: ( real > nat ) > real ).
thf(func_def_191,type,
sK121: ( real > nat ) > real ).
thf(func_def_192,type,
sK122: ( nat > nat ) > nat ).
thf(func_def_193,type,
sK123: ( nat > nat ) > nat ).
thf(func_def_194,type,
sK124: ( real > real ) > real ).
thf(func_def_195,type,
sK125: ( real > real ) > real ).
thf(func_def_196,type,
sK126: ( real > nat ) > real ).
thf(func_def_197,type,
sK127: ( real > nat ) > real ).
thf(func_def_198,type,
sK128: ( nat > real ) > nat ).
thf(func_def_199,type,
sK129: ( nat > real ) > nat ).
thf(func_def_200,type,
sK130: ( nat > nat ) > nat ).
thf(func_def_201,type,
sK131: ( nat > nat ) > nat ).
thf(func_def_202,type,
sK132: ( real > nat ) > real ).
thf(func_def_203,type,
sK133: ( real > nat ) > real ).
thf(func_def_204,type,
sK134: ( nat > real ) > nat ).
thf(func_def_205,type,
sK135: ( nat > real ) > nat ).
thf(func_def_206,type,
sK136: ( nat > nat ) > nat ).
thf(func_def_207,type,
sK137: ( nat > nat ) > nat ).
thf(func_def_208,type,
sK138: real ).
thf(func_def_209,type,
sK139: real > real > poly_real > real ).
thf(func_def_210,type,
sK140: real > real > poly_real > real ).
thf(func_def_211,type,
sK141: real > real > poly_real > real ).
thf(func_def_212,type,
sK142: real > real > poly_real > real ).
thf(func_def_213,type,
sK143: real > real > poly_real > real ).
thf(func_def_214,type,
sK144: real > real > poly_real > real ).
thf(func_def_215,type,
sK145: poly_poly_real > poly_real ).
thf(func_def_216,type,
sK146: poly_real > real ).
thf(func_def_217,type,
sK147: poly_poly_poly_real > poly_poly_real ).
thf(func_def_219,type,
sK149: ( nat > $o ) > nat ).
thf(func_def_220,type,
sK150: ( nat > $o ) > nat ).
thf(func_def_221,type,
sK151: ( nat > $o ) > nat > nat ).
thf(func_def_222,type,
sK152: poly_poly_real > poly_poly_real > poly_real ).
thf(func_def_223,type,
sK153: poly_real > poly_real > real ).
thf(f2,axiom,
( lb
= ( ord_min_real @ lb1 @ lb2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_lb__def) ).
thf(f3,axiom,
~ ! [X0: real] :
~ ! [X1: real] :
( ( ( poly_real2 @ p @ X1 )
= zero_zero_real )
=> ( ord_less_real @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lb1_O_A_092_060forall_062x_O_Apoly_Ap_Ax_A_061_A0_A_092_060longrightarrow_062_Alb1_A_060_Ax_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).
thf(f44,axiom,
( ord_less_real
= ( ^ [X0: real,X1: real] :
( ( X0 != X1 )
& ( X0
= ( ord_min_real @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_min_Ostrict__order__iff) ).
thf(f69,axiom,
! [X0: real] :
( ( ord_less_eq_real @ X0 @ lb2 )
=> ( ( sgn_sgn_real @ ( poly_real2 @ p @ X0 ) )
= ( sturm_1076696862f_real @ p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_lb2) ).
thf(f107,axiom,
! [X0: real,X1: real,X2: real] :
( ( ord_less_eq_real @ X0 @ ( ord_min_real @ X1 @ X2 ) )
=> ~ ( ( ord_less_eq_real @ X0 @ X1 )
=> ~ ( ord_less_eq_real @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_min_OboundedE) ).
thf(f113,axiom,
! [X0: real,X1: real] : ( ord_less_eq_real @ ( ord_min_real @ X0 @ X1 ) @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_min_Ocobounded1) ).
thf(f140,axiom,
( ( sgn_sgn_real @ zero_zero_real )
= zero_zero_real ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_sgn__0) ).
thf(f152,axiom,
! [X0: real] :
( ( ( sgn_sgn_real @ X0 )
= zero_zero_real )
= ( X0 = zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_sgn__zero__iff) ).
thf(f192,axiom,
! [X0: real] : ( ord_less_eq_real @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_order__refl) ).
thf(f198,axiom,
( ord_min_real
= ( ^ [X0: real,X1: real] : ( if_real @ ( ord_less_eq_real @ X0 @ X1 ) @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_min__def) ).
thf(f201,axiom,
! [X0: real,X1: real] :
( ( ord_less_eq_real @ X0 @ X1 )
=> ( ( ord_less_eq_real @ X1 @ X0 )
=> ( X1 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_dual__order_Oantisym) ).
thf(f227,axiom,
! [X0: real,X1: real] :
( ~ ( ord_less_eq_real @ X0 @ X1 )
=> ( ord_less_eq_real @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_le__cases) ).
thf(f348,axiom,
! [X0: $o] :
( ( X0 = $false )
| ( X0 = $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Real__Oreal_T) ).
thf(f349,axiom,
! [X0: real,X1: real] :
( ( if_real @ $false @ X0 @ X1 )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_If_001t__Real__Oreal_T) ).
thf(f350,axiom,
! [X0: real,X1: real] :
( ( if_real @ $true @ X0 @ X1 )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_If_001t__Real__Oreal_T) ).
thf(f351,conjecture,
! [X0: real] :
( ( ord_less_real @ lb @ X0 )
| ( ( poly_real2 @ p @ X0 )
!= zero_zero_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f352,negated_conjecture,
~ ! [X0: real] :
( ( ord_less_real @ lb @ X0 )
| ( ( poly_real2 @ p @ X0 )
!= zero_zero_real ) ),
inference(negated_conjecture,[status(cth)],[f351]) ).
thf(f355,plain,
~ ! [X0: real] :
~ ! [X1: real] :
( ( ( poly_real2 @ p @ X1 )
= zero_zero_real )
=> ( ord_less_real @ X0 @ X1 ) ),
inference(rectify,[],[f3]) ).
thf(f356,plain,
~ ! [X0: real] :
~ ! [X1: real] :
( ( zero_zero_real
= ( poly_real2 @ p @ X1 ) )
=> ( ( ord_less_real @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f355]) ).
thf(f402,plain,
( ord_less_real
= ( ^ [Y0: real,Y1: real] :
( ( ( ord_min_real @ Y0 @ Y1 )
= Y0 )
& ( Y0 != Y1 ) ) ) ),
inference(fool_elimination,[],[f44]) ).
thf(f426,plain,
! [X0: real] :
( ( ord_less_eq_real @ X0 @ lb2 )
=> ( ( sgn_sgn_real @ ( poly_real2 @ p @ X0 ) )
= ( sturm_1076696862f_real @ p ) ) ),
inference(rectify,[],[f69]) ).
thf(f427,plain,
! [X0: real] :
( ( ( ord_less_eq_real @ X0 @ lb2 )
= $true )
=> ( ( sgn_sgn_real @ ( poly_real2 @ p @ X0 ) )
= ( sturm_1076696862f_real @ p ) ) ),
inference(fool_elimination,[],[f426]) ).
thf(f478,plain,
! [X0: real,X1: real,X2: real] :
( ( ord_less_eq_real @ X0 @ ( ord_min_real @ X1 @ X2 ) )
=> ~ ( ( ord_less_eq_real @ X0 @ X1 )
=> ~ ( ord_less_eq_real @ X0 @ X2 ) ) ),
inference(rectify,[],[f107]) ).
thf(f479,plain,
! [X0: real,X1: real,X2: real] :
( ( ( ord_less_eq_real @ X0 @ ( ord_min_real @ X1 @ X2 ) )
= $true )
=> ~ ( ( ( ord_less_eq_real @ X0 @ X1 )
= $true )
=> ( ( ord_less_eq_real @ X0 @ X2 )
!= $true ) ) ),
inference(fool_elimination,[],[f478]) ).
thf(f488,plain,
! [X0: real,X1: real] : ( ord_less_eq_real @ ( ord_min_real @ X0 @ X1 ) @ X0 ),
inference(rectify,[],[f113]) ).
thf(f489,plain,
! [X0: real,X1: real] :
( ( ord_less_eq_real @ ( ord_min_real @ X0 @ X1 ) @ X0 )
= $true ),
inference(fool_elimination,[],[f488]) ).
thf(f524,plain,
! [X0: real] :
( ( zero_zero_real = X0 )
= ( zero_zero_real
= ( sgn_sgn_real @ X0 ) ) ),
inference(fool_elimination,[],[f152]) ).
thf(f595,plain,
! [X0: real] : ( ord_less_eq_real @ X0 @ X0 ),
inference(rectify,[],[f192]) ).
thf(f596,plain,
! [X0: real] :
( ( ord_less_eq_real @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f595]) ).
thf(f607,plain,
( ord_min_real
= ( ^ [Y0: real,Y1: real] : ( if_real @ ( ord_less_eq_real @ Y0 @ Y1 ) @ Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f198]) ).
thf(f611,plain,
! [X0: real,X1: real] :
( ( ord_less_eq_real @ X0 @ X1 )
=> ( ( ord_less_eq_real @ X1 @ X0 )
=> ( X1 = X0 ) ) ),
inference(rectify,[],[f201]) ).
thf(f612,plain,
! [X0: real,X1: real] :
( ( ( ord_less_eq_real @ X0 @ X1 )
= $true )
=> ( ( ( ord_less_eq_real @ X1 @ X0 )
= $true )
=> ( X0 = X1 ) ) ),
inference(fool_elimination,[],[f611]) ).
thf(f663,plain,
! [X0: real,X1: real] :
( ~ ( ord_less_eq_real @ X0 @ X1 )
=> ( ord_less_eq_real @ X1 @ X0 ) ),
inference(rectify,[],[f227]) ).
thf(f664,plain,
! [X0: real,X1: real] :
( ( ( ord_less_eq_real @ X0 @ X1 )
!= $true )
=> ( ( ord_less_eq_real @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f663]) ).
thf(f905,plain,
! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ),
inference(fool_elimination,[],[f348]) ).
thf(f906,plain,
! [X0: real,X1: real] :
( ( if_real @ $false @ X0 @ X1 )
= X1 ),
inference(rectify,[],[f349]) ).
thf(f907,plain,
! [X0: real,X1: real] :
( ( if_real @ $false @ X0 @ X1 )
= X1 ),
inference(fool_elimination,[],[f906]) ).
thf(f908,plain,
! [X0: real,X1: real] :
( ( if_real @ $true @ X0 @ X1 )
= X0 ),
inference(rectify,[],[f350]) ).
thf(f909,plain,
! [X0: real,X1: real] :
( ( if_real @ $true @ X0 @ X1 )
= X0 ),
inference(fool_elimination,[],[f908]) ).
thf(f910,plain,
~ ! [X0: real] :
( ( ord_less_real @ lb @ X0 )
| ( ( poly_real2 @ p @ X0 )
!= zero_zero_real ) ),
inference(rectify,[],[f352]) ).
thf(f911,plain,
~ ! [X0: real] :
( ( ( ord_less_real @ lb @ X0 )
= $true )
| ( ( poly_real2 @ p @ X0 )
!= zero_zero_real ) ),
inference(fool_elimination,[],[f910]) ).
thf(f919,plain,
! [X0: real,X1: real,X2: real] :
( ( ( ord_less_eq_real @ X0 @ ( ord_min_real @ X1 @ X2 ) )
= $true )
=> ~ ( ( ( ord_less_eq_real @ X0 @ X1 )
= $true )
=> ( ( ord_less_eq_real @ X0 @ X2 )
!= $true ) ) ),
inference(flattening,[],[f479]) ).
thf(f934,plain,
! [X0: real,X1: real] :
( ( ( ord_less_eq_real @ X0 @ X1 )
!= $true )
=> ( ( ord_less_eq_real @ X1 @ X0 )
= $true ) ),
inference(flattening,[],[f664]) ).
thf(f963,plain,
? [X0: real] :
! [X1: real] :
( ( ( ord_less_real @ X0 @ X1 )
= $true )
| ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) ) ),
inference(ennf_transformation,[],[f356]) ).
thf(f982,plain,
! [X0: real] :
( ( ( sgn_sgn_real @ ( poly_real2 @ p @ X0 ) )
= ( sturm_1076696862f_real @ p ) )
| ( ( ord_less_eq_real @ X0 @ lb2 )
!= $true ) ),
inference(ennf_transformation,[],[f427]) ).
thf(f1000,plain,
! [X0: real,X1: real,X2: real] :
( ( ( ( ord_less_eq_real @ X0 @ X2 )
= $true )
& ( ( ord_less_eq_real @ X0 @ X1 )
= $true ) )
| ( ( ord_less_eq_real @ X0 @ ( ord_min_real @ X1 @ X2 ) )
!= $true ) ),
inference(ennf_transformation,[],[f919]) ).
thf(f1048,plain,
! [X0: real,X1: real] :
( ( X0 = X1 )
| ( ( ord_less_eq_real @ X1 @ X0 )
!= $true )
| ( ( ord_less_eq_real @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f612]) ).
thf(f1049,plain,
! [X0: real,X1: real] :
( ( X0 = X1 )
| ( ( ord_less_eq_real @ X1 @ X0 )
!= $true )
| ( ( ord_less_eq_real @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f1048]) ).
thf(f1086,plain,
! [X0: real,X1: real] :
( ( ( ord_less_eq_real @ X1 @ X0 )
= $true )
| ( ( ord_less_eq_real @ X0 @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f934]) ).
thf(f1246,plain,
? [X0: real] :
( ( ( ord_less_real @ lb @ X0 )
!= $true )
& ( ( poly_real2 @ p @ X0 )
= zero_zero_real ) ),
inference(ennf_transformation,[],[f911]) ).
thf(f1255,plain,
! [X1: real] :
( ( $true
= ( ord_less_real @ sK6 @ X1 ) )
| ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f963]) ).
thf(f1345,plain,
( ( $true
!= ( ord_less_real @ lb @ sK138 ) )
& ( zero_zero_real
= ( poly_real2 @ p @ sK138 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK138]),skolemize(X0,sK138)],[f1246]) ).
thf(f1347,plain,
( lb
= ( ord_min_real @ lb1 @ lb2 ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f1348,plain,
! [X1: real] :
( ( $true
= ( ord_less_real @ sK6 @ X1 ) )
| ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) ) ),
inference(cnf_transformation,[],[f1255]) ).
thf(f1395,plain,
( ord_less_real
= ( ^ [Y0: real,Y1: real] :
( ( ( ord_min_real @ Y0 @ Y1 )
= Y0 )
& ( Y0 != Y1 ) ) ) ),
inference(cnf_transformation,[],[f402]) ).
thf(f1424,plain,
! [X0: real] :
( ( ( ord_less_eq_real @ X0 @ lb2 )
!= $true )
| ( ( sgn_sgn_real @ ( poly_real2 @ p @ X0 ) )
= ( sturm_1076696862f_real @ p ) ) ),
inference(cnf_transformation,[],[f982]) ).
thf(f1471,plain,
! [X2: real,X0: real,X1: real] :
( ( ( ord_less_eq_real @ X0 @ X2 )
= $true )
| ( ( ord_less_eq_real @ X0 @ ( ord_min_real @ X1 @ X2 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1000]) ).
thf(f1478,plain,
! [X0: real,X1: real] :
( ( ord_less_eq_real @ ( ord_min_real @ X0 @ X1 ) @ X0 )
= $true ),
inference(cnf_transformation,[],[f489]) ).
thf(f1506,plain,
( zero_zero_real
= ( sgn_sgn_real @ zero_zero_real ) ),
inference(cnf_transformation,[],[f140]) ).
thf(f1518,plain,
! [X0: real] :
( ( zero_zero_real = X0 )
= ( zero_zero_real
= ( sgn_sgn_real @ X0 ) ) ),
inference(cnf_transformation,[],[f524]) ).
thf(f1569,plain,
! [X0: real] :
( ( ord_less_eq_real @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f596]) ).
thf(f1575,plain,
( ord_min_real
= ( ^ [Y0: real,Y1: real] : ( if_real @ ( ord_less_eq_real @ Y0 @ Y1 ) @ Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f607]) ).
thf(f1583,plain,
! [X0: real,X1: real] :
( ( ( ord_less_eq_real @ X1 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( ord_less_eq_real @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f1049]) ).
thf(f1641,plain,
! [X0: real,X1: real] :
( ( ( ord_less_eq_real @ X1 @ X0 )
= $true )
| ( ( ord_less_eq_real @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f1086]) ).
thf(f1813,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
inference(cnf_transformation,[],[f905]) ).
thf(f1814,plain,
! [X0: real,X1: real] :
( ( if_real @ $false @ X0 @ X1 )
= X1 ),
inference(cnf_transformation,[],[f907]) ).
thf(f1815,plain,
! [X0: real,X1: real] :
( ( if_real @ $true @ X0 @ X1 )
= X0 ),
inference(cnf_transformation,[],[f909]) ).
thf(f1816,plain,
( zero_zero_real
= ( poly_real2 @ p @ sK138 ) ),
inference(cnf_transformation,[],[f1345]) ).
thf(f1817,plain,
( $true
!= ( ord_less_real @ lb @ sK138 ) ),
inference(cnf_transformation,[],[f1345]) ).
thf(f1821,plain,
( ord_less_real
= ( ^ [Y0: real,Y1: real] :
( ( ( ^ [Y2: real,Y3: real] : ( if_real @ ( ord_less_eq_real @ Y2 @ Y3 ) @ Y2 @ Y3 )
@ Y0
@ Y1 )
= Y0 )
& ( Y0 != Y1 ) ) ) ),
inference(definition_unfolding,[],[f1395,f1575]) ).
thf(f1825,plain,
( lb
= ( ^ [Y0: real,Y1: real] : ( if_real @ ( ord_less_eq_real @ Y0 @ Y1 ) @ Y0 @ Y1 )
@ lb1
@ lb2 ) ),
inference(definition_unfolding,[],[f1347,f1575]) ).
thf(f1826,plain,
! [X1: real] :
( ( $true
= ( ^ [Y0: real,Y1: real] :
( ( ( ^ [Y2: real,Y3: real] : ( if_real @ ( ord_less_eq_real @ Y2 @ Y3 ) @ Y2 @ Y3 )
@ Y0
@ Y1 )
= Y0 )
& ( Y0 != Y1 ) )
@ sK6
@ X1 ) )
| ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) ) ),
inference(definition_unfolding,[],[f1348,f1821]) ).
thf(f1886,plain,
! [X2: real,X0: real,X1: real] :
( ( ( ord_less_eq_real @ X0 @ X2 )
= $true )
| ( $true
!= ( ord_less_eq_real @ X0
@ ( ^ [Y0: real,Y1: real] : ( if_real @ ( ord_less_eq_real @ Y0 @ Y1 ) @ Y0 @ Y1 )
@ X1
@ X2 ) ) ) ),
inference(definition_unfolding,[],[f1471,f1575]) ).
thf(f1893,plain,
! [X0: real,X1: real] :
( $true
= ( ord_less_eq_real
@ ( ^ [Y0: real,Y1: real] : ( if_real @ ( ord_less_eq_real @ Y0 @ Y1 ) @ Y0 @ Y1 )
@ X0
@ X1 )
@ X0 ) ),
inference(definition_unfolding,[],[f1478,f1575]) ).
thf(f2072,plain,
( $true
!= ( ^ [Y0: real,Y1: real] :
( ( ( ^ [Y2: real,Y3: real] : ( if_real @ ( ord_less_eq_real @ Y2 @ Y3 ) @ Y2 @ Y3 )
@ Y0
@ Y1 )
= Y0 )
& ( Y0 != Y1 ) )
@ lb
@ sK138 ) ),
inference(definition_unfolding,[],[f1817,f1821]) ).
thf(f2131,plain,
( $true
!= ( ( ( if_real @ ( ord_less_eq_real @ lb @ sK138 ) @ lb @ sK138 )
= lb )
& ( lb != sK138 ) ) ),
inference(beta-eta_normalization,[],[f2072]) ).
thf(f2132,plain,
( ( $false
= ( lb != sK138 ) )
| ( $false
= ( ( if_real @ ( ord_less_eq_real @ lb @ sK138 ) @ lb @ sK138 )
= lb ) ) ),
inference(and_proxy_clausification,[],[f2131]) ).
thf(f2133,plain,
( ( $true
= ( lb = sK138 ) )
| ( $false
= ( ( if_real @ ( ord_less_eq_real @ lb @ sK138 ) @ lb @ sK138 )
= lb ) ) ),
inference(not_proxy_clausification,[],[f2132]) ).
thf(f2134,plain,
( ( lb = sK138 )
| ( $false
= ( ( if_real @ ( ord_less_eq_real @ lb @ sK138 ) @ lb @ sK138 )
= lb ) ) ),
inference(equality_proxy_clausification,[],[f2133]) ).
thf(f2135,plain,
( ( lb = sK138 )
| ( lb
!= ( if_real @ ( ord_less_eq_real @ lb @ sK138 ) @ lb @ sK138 ) ) ),
inference(equality_proxy_clausification,[],[f2134]) ).
thf(f4650,plain,
! [X0: real] :
( ( $true
= ( zero_zero_real = X0 ) )
| ( ( zero_zero_real
= ( sgn_sgn_real @ X0 ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f1518]) ).
thf(f4654,plain,
! [X0: real] :
( ( zero_zero_real = X0 )
| ( ( zero_zero_real
= ( sgn_sgn_real @ X0 ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f4650]) ).
thf(f4655,plain,
! [X0: real] :
( ( zero_zero_real
!= ( sgn_sgn_real @ X0 ) )
| ( zero_zero_real = X0 ) ),
inference(equality_proxy_clausification,[],[f4654]) ).
thf(f5017,plain,
! [X0: real,X1: real] :
( $true
= ( ord_less_eq_real @ ( if_real @ ( ord_less_eq_real @ X0 @ X1 ) @ X0 @ X1 ) @ X0 ) ),
inference(beta-eta_normalization,[],[f1893]) ).
thf(f5024,plain,
! [X2: real,X0: real,X1: real] :
( ( $true
!= ( ord_less_eq_real @ X0 @ ( if_real @ ( ord_less_eq_real @ X1 @ X2 ) @ X1 @ X2 ) ) )
| ( ( ord_less_eq_real @ X0 @ X2 )
= $true ) ),
inference(beta-eta_normalization,[],[f1886]) ).
thf(f6119,plain,
! [X1: real] :
( ( $true
= ( ( ( if_real @ ( ord_less_eq_real @ sK6 @ X1 ) @ sK6 @ X1 )
= sK6 )
& ( sK6 != X1 ) ) )
| ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) ) ),
inference(beta-eta_normalization,[],[f1826]) ).
thf(f6120,plain,
! [X1: real] :
( ( $true
= ( sK6 != X1 ) )
| ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) ) ),
inference(and_proxy_clausification,[],[f6119]) ).
thf(f6121,plain,
! [X1: real] :
( ( $true
= ( ( if_real @ ( ord_less_eq_real @ sK6 @ X1 ) @ sK6 @ X1 )
= sK6 ) )
| ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) ) ),
inference(and_proxy_clausification,[],[f6119]) ).
thf(f6122,plain,
! [X1: real] :
( ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) )
| ( sK6
= ( if_real @ ( ord_less_eq_real @ sK6 @ X1 ) @ sK6 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f6121]) ).
thf(f6123,plain,
! [X1: real] :
( ( $false
= ( sK6 = X1 ) )
| ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) ) ),
inference(not_proxy_clausification,[],[f6120]) ).
thf(f6124,plain,
! [X1: real] :
( ( zero_zero_real
!= ( poly_real2 @ p @ X1 ) )
| ( sK6 != X1 ) ),
inference(equality_proxy_clausification,[],[f6123]) ).
thf(f6125,plain,
( lb
= ( if_real @ ( ord_less_eq_real @ lb1 @ lb2 ) @ lb1 @ lb2 ) ),
inference(beta-eta_normalization,[],[f1825]) ).
thf(f6135,definition,
( spl148_1
<=> ( lb
= ( if_real @ ( ord_less_eq_real @ lb @ sK138 ) @ lb @ sK138 ) ) ),
introduced(definition,[new_symbols(definition,[spl148_1])],[avatar_definition]) ).
thf(f6137,plain,
( ( lb
!= ( if_real @ ( ord_less_eq_real @ lb @ sK138 ) @ lb @ sK138 ) )
| spl148_1 ),
inference(avatar_component_clause,[],[f6135]) ).
thf(f6139,definition,
( spl148_2
<=> ( lb = sK138 ) ),
introduced(definition,[new_symbols(definition,[spl148_2])],[avatar_definition]) ).
thf(f6141,plain,
( ( lb = sK138 )
| ~ spl148_2 ),
inference(avatar_component_clause,[],[f6139]) ).
thf(f6142,plain,
( ~ spl148_1
| spl148_2 ),
inference(avatar_split_clause,[],[f2135,f6139,f6135]) ).
thf(f6178,plain,
( ( lb
!= ( if_real @ $true @ lb @ sK138 ) )
| ( $false
= ( ord_less_eq_real @ lb @ sK138 ) )
| spl148_1 ),
inference(constrained_superposition,[],[f6137,f1813]) ).
thf(f6185,definition,
( spl148_11
<=> ( $false
= ( ord_less_eq_real @ lb @ sK138 ) ) ),
introduced(definition,[new_symbols(definition,[spl148_11])],[avatar_definition]) ).
thf(f6187,plain,
( ( $false
= ( ord_less_eq_real @ lb @ sK138 ) )
| ~ spl148_11 ),
inference(avatar_component_clause,[],[f6185]) ).
thf(f7156,plain,
( ( $true
= ( ord_less_eq_real @ ( if_real @ $false @ lb @ sK138 ) @ lb ) )
| ~ spl148_11 ),
inference(constrained_superposition,[],[f5017,f6187]) ).
thf(f7220,plain,
( ( $true
= ( ord_less_eq_real @ sK138 @ lb ) )
| ~ spl148_11 ),
inference(forward_demodulation,[],[f7156,f1814]) ).
thf(f7434,definition,
( spl148_17
<=> ( zero_zero_real
= ( sturm_1076696862f_real @ p ) ) ),
introduced(definition,[new_symbols(definition,[spl148_17])],[avatar_definition]) ).
thf(f7436,plain,
( ( zero_zero_real
= ( sturm_1076696862f_real @ p ) )
| ~ spl148_17 ),
inference(avatar_component_clause,[],[f7434]) ).
thf(f8053,plain,
! [X0: real] :
( ( $true
!= ( ord_less_eq_real @ X0 @ lb ) )
| ( ( ord_less_eq_real @ X0 @ lb2 )
= $true ) ),
inference(constrained_superposition,[],[f5024,f6125]) ).
thf(f18472,plain,
( ( $true != $true )
| ( ( sturm_1076696862f_real @ p )
= ( sgn_sgn_real @ ( poly_real2 @ p @ lb2 ) ) ) ),
inference(constrained_superposition,[],[f1424,f1569]) ).
thf(f18491,plain,
( ( sturm_1076696862f_real @ p )
= ( sgn_sgn_real @ ( poly_real2 @ p @ lb2 ) ) ),
inference(trivial_inequality_removal,[],[f18472]) ).
thf(f18516,plain,
( ( zero_zero_real
= ( sgn_sgn_real @ ( poly_real2 @ p @ lb2 ) ) )
| ~ spl148_17 ),
inference(forward_demodulation,[],[f18491,f7436]) ).
thf(f18596,plain,
! [X0: real] :
( ( $true != $true )
| ( ( sgn_sgn_real @ ( poly_real2 @ p @ X0 ) )
= ( sturm_1076696862f_real @ p ) )
| ( $true
= ( ord_less_eq_real @ lb2 @ X0 ) ) ),
inference(constrained_superposition,[],[f1424,f1641]) ).
thf(f18618,plain,
! [X0: real] :
( ( ( sgn_sgn_real @ ( poly_real2 @ p @ X0 ) )
= ( sturm_1076696862f_real @ p ) )
| ( $true
= ( ord_less_eq_real @ lb2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f18596]) ).
thf(f18714,plain,
( ! [X0: real] :
( ( zero_zero_real
= ( sgn_sgn_real @ ( poly_real2 @ p @ X0 ) ) )
| ( $true
= ( ord_less_eq_real @ lb2 @ X0 ) ) )
| ~ spl148_17 ),
inference(forward_demodulation,[],[f18618,f7436]) ).
thf(f30309,plain,
( ! [X0: real] :
( ( zero_zero_real != zero_zero_real )
| ( ( poly_real2 @ p @ X0 )
= zero_zero_real )
| ( $true
= ( ord_less_eq_real @ lb2 @ X0 ) ) )
| ~ spl148_17 ),
inference(constrained_superposition,[],[f4655,f18714]) ).
thf(f30312,plain,
( ( zero_zero_real != zero_zero_real )
| ( zero_zero_real
= ( poly_real2 @ p @ lb2 ) )
| ~ spl148_17 ),
inference(constrained_superposition,[],[f4655,f18516]) ).
thf(f30323,plain,
( ( zero_zero_real
= ( poly_real2 @ p @ lb2 ) )
| ~ spl148_17 ),
inference(trivial_inequality_removal,[],[f30312]) ).
thf(f30326,plain,
( ! [X0: real] :
( ( ( poly_real2 @ p @ X0 )
= zero_zero_real )
| ( $true
= ( ord_less_eq_real @ lb2 @ X0 ) ) )
| ~ spl148_17 ),
inference(trivial_inequality_removal,[],[f30309]) ).
thf(f34661,plain,
( ! [X0: real] :
( ( zero_zero_real != zero_zero_real )
| ( sK6 != X0 )
| ( $true
= ( ord_less_eq_real @ lb2 @ X0 ) ) )
| ~ spl148_17 ),
inference(constrained_superposition,[],[f6124,f30326]) ).
thf(f34665,plain,
( ( zero_zero_real != zero_zero_real )
| ( lb2 != sK6 )
| ~ spl148_17 ),
inference(constrained_superposition,[],[f6124,f30323]) ).
thf(f34672,plain,
( ( lb2 != sK6 )
| ~ spl148_17 ),
inference(trivial_inequality_removal,[],[f34665]) ).
thf(f34676,plain,
( ! [X0: real] :
( ( sK6 != X0 )
| ( $true
= ( ord_less_eq_real @ lb2 @ X0 ) ) )
| ~ spl148_17 ),
inference(trivial_inequality_removal,[],[f34661]) ).
thf(f34818,plain,
( ( $false
= ( ord_less_eq_real @ lb @ sK138 ) )
| spl148_1 ),
inference(forward_subsumption_resolution,[],[f6178,f1815]) ).
thf(f37449,plain,
( ( $true
= ( ord_less_eq_real @ lb2 @ sK6 ) )
| ~ spl148_17 ),
inference(equality_resolution,[],[f34676]) ).
thf(f37465,plain,
( ( $true != $true )
| ( lb2 = sK6 )
| ( $true
!= ( ord_less_eq_real @ sK6 @ lb2 ) )
| ~ spl148_17 ),
inference(constrained_superposition,[],[f1583,f37449]) ).
thf(f37552,plain,
( ( lb2 = sK6 )
| ( $true
!= ( ord_less_eq_real @ sK6 @ lb2 ) )
| ~ spl148_17 ),
inference(trivial_inequality_removal,[],[f37465]) ).
thf(f37598,plain,
( ( $true
!= ( ord_less_eq_real @ sK6 @ lb2 ) )
| ~ spl148_17 ),
inference(forward_subsumption_resolution,[],[f37552,f34672]) ).
thf(f37607,plain,
( ( $true != $true )
| ( $false
= ( ord_less_eq_real @ sK6 @ lb2 ) )
| ~ spl148_17 ),
inference(constrained_superposition,[],[f37598,f1813]) ).
thf(f37636,plain,
( ( $false
= ( ord_less_eq_real @ sK6 @ lb2 ) )
| ~ spl148_17 ),
inference(trivial_inequality_removal,[],[f37607]) ).
thf(f66401,plain,
( spl148_11
| spl148_1 ),
inference(avatar_split_clause,[],[f34818,f6135,f6185]) ).
thf(f66465,definition,
( spl148_1067
<=> ( $true
= ( ord_less_eq_real @ sK138 @ lb2 ) ) ),
introduced(definition,[new_symbols(definition,[spl148_1067])],[avatar_definition]) ).
thf(f66466,plain,
( ( $true
= ( ord_less_eq_real @ sK138 @ lb2 ) )
| ~ spl148_1067 ),
inference(avatar_component_clause,[],[f66465]) ).
thf(f66709,definition,
( spl148_1069
<=> ( $true
= ( ord_less_eq_real @ sK138 @ lb ) ) ),
introduced(definition,[new_symbols(definition,[spl148_1069])],[avatar_definition]) ).
thf(f66710,plain,
( ( $true
= ( ord_less_eq_real @ sK138 @ lb ) )
| ~ spl148_1069 ),
inference(avatar_component_clause,[],[f66709]) ).
thf(f66711,plain,
( ( $true
!= ( ord_less_eq_real @ sK138 @ lb ) )
| spl148_1069 ),
inference(avatar_component_clause,[],[f66709]) ).
thf(f67246,plain,
( spl148_1069
| ~ spl148_11 ),
inference(avatar_split_clause,[],[f7220,f6185,f66709]) ).
thf(f69807,plain,
( ( $true != $true )
| ( $true
= ( ord_less_eq_real @ sK138 @ lb2 ) )
| ~ spl148_1069 ),
inference(constrained_superposition,[],[f8053,f66710]) ).
thf(f69853,plain,
( ( $true
= ( ord_less_eq_real @ sK138 @ lb2 ) )
| ~ spl148_1069 ),
inference(trivial_inequality_removal,[],[f69807]) ).
thf(f69861,plain,
( spl148_1067
| ~ spl148_1069 ),
inference(avatar_split_clause,[],[f69853,f66709,f66465]) ).
thf(f82186,plain,
( ( $true != $true )
| ( ( sturm_1076696862f_real @ p )
= ( sgn_sgn_real @ ( poly_real2 @ p @ sK138 ) ) )
| ~ spl148_1067 ),
inference(constrained_superposition,[],[f1424,f66466]) ).
thf(f82226,plain,
( ( ( sturm_1076696862f_real @ p )
= ( sgn_sgn_real @ ( poly_real2 @ p @ sK138 ) ) )
| ~ spl148_1067 ),
inference(trivial_inequality_removal,[],[f82186]) ).
thf(f82287,plain,
( ( ( sturm_1076696862f_real @ p )
= ( sgn_sgn_real @ zero_zero_real ) )
| ~ spl148_1067 ),
inference(forward_demodulation,[],[f82226,f1816]) ).
thf(f82304,plain,
( ( zero_zero_real
= ( sturm_1076696862f_real @ p ) )
| ~ spl148_1067 ),
inference(forward_demodulation,[],[f82287,f1506]) ).
thf(f90521,plain,
( ( zero_zero_real != zero_zero_real )
| ( sK6
= ( if_real @ ( ord_less_eq_real @ sK6 @ lb2 ) @ sK6 @ lb2 ) )
| ~ spl148_17 ),
inference(constrained_superposition,[],[f6122,f30323]) ).
thf(f90528,plain,
( ( sK6
= ( if_real @ ( ord_less_eq_real @ sK6 @ lb2 ) @ sK6 @ lb2 ) )
| ~ spl148_17 ),
inference(trivial_inequality_removal,[],[f90521]) ).
thf(f90536,plain,
( ( sK6
= ( if_real @ $false @ sK6 @ lb2 ) )
| ~ spl148_17 ),
inference(forward_demodulation,[],[f90528,f37636]) ).
thf(f90538,plain,
( ( lb2 = sK6 )
| ~ spl148_17 ),
inference(forward_demodulation,[],[f90536,f1814]) ).
thf(f90541,plain,
( $false
| ~ spl148_17 ),
inference(forward_subsumption_resolution,[],[f90538,f34672]) ).
thf(f90542,plain,
~ spl148_17,
inference(avatar_contradiction_clause,[],[f90541]) ).
thf(f90543,plain,
( spl148_17
| ~ spl148_1067 ),
inference(avatar_split_clause,[],[f82304,f66465,f7434]) ).
thf(f92386,plain,
( ( $true
!= ( ord_less_eq_real @ lb @ lb ) )
| ~ spl148_2
| spl148_1069 ),
inference(forward_demodulation,[],[f66711,f6141]) ).
thf(f92387,plain,
( $false
| ~ spl148_2
| spl148_1069 ),
inference(forward_subsumption_resolution,[],[f92386,f1569]) ).
thf(f92388,plain,
( ~ spl148_2
| spl148_1069 ),
inference(avatar_contradiction_clause,[],[f92387]) ).
cnf(s1,plain,
( ~ spl148_1
| spl148_2 ),
inference(sat_conversion,[],[f6142]) ).
cnf(s2244,plain,
( spl148_1
| spl148_11 ),
inference(sat_conversion,[],[f66401]) ).
cnf(s2341,plain,
( ~ spl148_11
| spl148_1069 ),
inference(sat_conversion,[],[f67246]) ).
cnf(s2492,plain,
( spl148_1067
| ~ spl148_1069 ),
inference(sat_conversion,[],[f69861]) ).
cnf(s3131,plain,
~ spl148_17,
inference(sat_conversion,[],[f90542]) ).
cnf(s3132,plain,
( spl148_17
| ~ spl148_1067 ),
inference(sat_conversion,[],[f90543]) ).
cnf(s3201,plain,
( ~ spl148_2
| spl148_1069 ),
inference(sat_conversion,[],[f92388]) ).
cnf(s3209,plain,
~ spl148_1067,
inference(rat,[],[s3132,s3131]) ).
cnf(s3211,plain,
~ spl148_1069,
inference(rat,[],[s2492,s3209]) ).
cnf(s3212,plain,
~ spl148_2,
inference(rat,[],[s3201,s3211]) ).
cnf(s3213,plain,
~ spl148_11,
inference(rat,[],[s2341,s3211]) ).
cnf(s3214,plain,
spl148_1,
inference(rat,[],[s2244,s3213]) ).
cnf(s3288,plain,
$false,
inference(rat,[],[s1,s3212,s3214]) ).
thf(f92389,plain,
$false,
inference(avatar_sat_refutation,[],[s3288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP194^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 % Computer : n019.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Tue Sep 29 20:10:18 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.67/1.68 % (1286443)Will run a generic schedule for satisfiability detection.
% 7.67/1.68 % (1286453)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3311078489:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.67/1.68 % (1286450)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1251661919:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.67/1.68 % (1286449)% WARNING: option uhcvi not known.
% 7.67/1.68 % (1286449)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3885288458:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.67/1.68 % (1286451)dis+10_1_sil=32000:sp=arity:random_seed=2876160590:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.67/1.68 % (1286452)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2328940801:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.67/1.68 % (1286454)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4210379250:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.67/1.68 % (1286448)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2824562361_2999 on theBenchmark for (2999ds/0Mi)
% 7.67/1.68 % (1286449)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.67/1.68 % (1286452)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.67/1.68 % (1286453)Instruction limit reached!
% 7.67/1.68 % (1286453)------------------------------
% 7.67/1.68 % (1286453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.68 % (1286453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.68 % (1286453)CaDiCaL version: 2.1.3
% 7.67/1.68 % (1286453)Termination reason: Instruction limit
% 7.67/1.68 % (1286453)Termination phase: Saturation
% 7.67/1.68 % (1286453)Time elapsed: 0.054 s
% 7.67/1.68 % (1286453)Peak memory usage: 12 MB
% 7.67/1.68 % (1286453)Instructions burned: 131 (million)
% 7.67/1.68 % (1286464)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3094385739:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.67/1.68 % (1286451)Instruction limit reached!
% 7.67/1.68 % (1286451)------------------------------
% 7.67/1.68 % (1286451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.68 % (1286451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.68 % (1286451)CaDiCaL version: 2.1.3
% 7.67/1.68 % (1286451)Termination reason: Instruction limit
% 7.67/1.68 % (1286451)Termination phase: Property scanning
% 7.67/1.68 % (1286451)Time elapsed: 0.081 s
% 7.67/1.68 % (1286451)Peak memory usage: 11 MB
% 7.67/1.68 % (1286451)Instructions burned: 103 (million)
% 7.67/1.68 % (1286452)Instruction limit reached!
% 7.67/1.68 % (1286452)------------------------------
% 7.67/1.68 % (1286452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.68 % (1286452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.68 % (1286452)CaDiCaL version: 2.1.3
% 7.67/1.68 % (1286452)Termination reason: Instruction limit
% 7.67/1.68 % (1286452)Termination phase: Property scanning
% 7.67/1.68 % (1286452)Time elapsed: 0.091 s
% 7.67/1.68 % (1286452)Peak memory usage: 11 MB
% 7.67/1.68 % (1286452)Instructions burned: 117 (million)
% 7.67/1.68 % (1286449)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.67/1.68 % Exception at run slice level
% 7.67/1.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.67/1.68 % (1286466)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4273992454:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.67/1.68 % Exception at run slice level
% 7.67/1.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.67/1.68 % (1286467)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3972120322:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.67/1.68 % (1286454)Instruction limit reached!
% 7.67/1.68 % (1286454)------------------------------
% 7.67/1.68 % (1286454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.68 % (1286454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.68 % (1286454)CaDiCaL version: 2.1.3
% 7.67/1.68 % (1286454)Termination reason: Instruction limit
% 30.10/4.65 % (1286454)Termination phase: Saturation
% 30.10/4.65 % (1286454)Time elapsed: 0.125 s
% 30.10/4.65 % (1286454)Peak memory usage: 13 MB
% 30.10/4.65 % (1286454)Instructions burned: 159 (million)
% 30.10/4.65 % (1286471)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2615976742:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 30.10/4.65 % (1286468)ott-21_1_sil=16000:fs=off:random_seed=4241429881:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 30.10/4.65 % (1286473)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2248811276:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 30.10/4.65 % (1286467)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.10/4.65 % Exception at run slice level
% 30.10/4.65 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.10/4.65 % (1286466)Instruction limit reached!
% 30.10/4.65 % (1286466)------------------------------
% 30.10/4.65 % (1286466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.10/4.65 % (1286466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.10/4.65 % (1286466)CaDiCaL version: 2.1.3
% 30.10/4.65 % (1286466)Termination reason: Instruction limit
% 30.10/4.65 % (1286466)Termination phase: Saturation
% 30.10/4.65 % (1286466)Time elapsed: 0.103 s
% 30.10/4.65 % (1286466)Peak memory usage: 13 MB
% 30.10/4.65 % (1286466)Instructions burned: 131 (million)
% 30.10/4.65 % (1286478)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1565772331:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 30.10/4.65 % (1286467)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.10/4.65 % (1286479)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1378891663:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 30.10/4.65 % (1286468)Instruction limit reached!
% 30.10/4.65 % (1286468)------------------------------
% 30.10/4.65 % (1286468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.10/4.65 % (1286468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.10/4.65 % (1286468)CaDiCaL version: 2.1.3
% 30.10/4.65 % (1286468)Termination reason: Instruction limit
% 30.10/4.65 % (1286468)Termination phase: Saturation
% 30.10/4.65 % (1286468)Time elapsed: 0.143 s
% 30.10/4.65 % (1286468)Peak memory usage: 13 MB
% 30.10/4.65 % (1286468)Instructions burned: 180 (million)
% 30.10/4.65 % Exception at run slice level
% 30.10/4.65 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.10/4.65 % (1286482)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=55699377:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 30.10/4.65 % (1286482)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.10/4.65 % (1286483)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3248034886:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 30.10/4.65 % (1286483)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.10/4.65 % (1286471)Instruction limit reached!
% 30.10/4.65 % (1286471)------------------------------
% 30.10/4.65 % (1286471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.10/4.65 % (1286471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.10/4.65 % (1286471)CaDiCaL version: 2.1.3
% 30.10/4.65 % (1286471)Termination reason: Instruction limit
% 30.10/4.65 % (1286471)Termination phase: Saturation
% 30.10/4.65 % (1286471)Time elapsed: 0.423 s
% 30.10/4.65 % (1286471)Peak memory usage: 15 MB
% 30.10/4.65 % (1286471)Instructions burned: 477 (million)
% 30.10/4.65 % (1286467)Instruction limit reached!
% 30.10/4.65 % (1286467)------------------------------
% 30.10/4.65 % (1286467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.10/4.65 % (1286467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.10/4.65 % (1286467)CaDiCaL version: 2.1.3
% 30.10/4.65 % (1286467)Termination reason: Instruction limit
% 30.10/4.65 % (1286467)Termination phase: Saturation
% 30.10/4.65 % (1286467)Time elapsed: 0.455 s
% 30.10/4.65 % (1286467)Peak memory usage: 15 MB
% 30.10/4.65 % (1286467)Instructions burned: 685 (million)
% 30.10/4.65 % (1286488)fmb+10_1_sil=64000:random_seed=3387853168:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 83.29/12.10 % (1286489)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3631858587:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 83.29/12.10 % (1286488)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 83.29/12.10 % (1286482)Instruction limit reached!
% 83.29/12.10 % (1286482)------------------------------
% 83.29/12.10 % (1286482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.29/12.10 % (1286482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.29/12.10 % (1286482)CaDiCaL version: 2.1.3
% 83.29/12.10 % (1286482)Termination reason: Instruction limit
% 83.29/12.10 % (1286482)Termination phase: Saturation
% 83.29/12.10 % (1286482)Time elapsed: 0.320 s
% 83.29/12.10 % (1286482)Peak memory usage: 18 MB
% 83.29/12.10 % (1286482)Instructions burned: 694 (million)
% 83.29/12.10 % (1286492)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=902204175:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 83.29/12.10 % Exception at run slice level
% 83.29/12.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.29/12.10 % (1286494)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3544999801:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 83.29/12.10 % (1286494)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 83.29/12.10 % Exception at run slice level
% 83.29/12.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.29/12.10 % Exception at run slice level
% 83.29/12.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.29/12.10 % (1286496)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1916822572:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 83.29/12.10 % (1286497)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3325177958:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 83.29/12.10 % (1286496)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 83.29/12.10 % (1286496)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 83.29/12.10 % Exception at run slice level
% 83.29/12.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.29/12.10 % (1286502)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3234332260:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 83.29/12.10 % Exception at run slice level
% 83.29/12.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.29/12.10 % (1286504)ott-2_1_sil=16000:newcnf=on:random_seed=350348146:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 83.29/12.10 % (1286504)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 83.29/12.10 % (1286483)Instruction limit reached!
% 83.29/12.10 % (1286483)------------------------------
% 83.29/12.10 % (1286483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.29/12.10 % (1286483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.29/12.10 % (1286483)CaDiCaL version: 2.1.3
% 83.29/12.10 % (1286483)Termination reason: Instruction limit
% 83.29/12.10 % (1286483)Termination phase: Saturation
% 83.29/12.10 % (1286483)Time elapsed: 0.759 s
% 83.29/12.10 % (1286483)Peak memory usage: 19 MB
% 83.29/12.10 % (1286483)Instructions burned: 880 (million)
% 83.29/12.10 % (1286506)ott+10_1_sil=32000:tgt=ground:random_seed=1722705839:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 83.29/12.10 % (1286478)Instruction limit reached!
% 83.29/12.10 % (1286478)------------------------------
% 83.29/12.10 % (1286478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.29/12.10 % (1286478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.29/12.10 % (1286478)CaDiCaL version: 2.1.3
% 83.29/12.10 % (1286478)Termination reason: Instruction limit
% 83.29/12.10 % (1286478)Termination phase: Saturation
% 83.29/12.10 % (1286478)Time elapsed: 0.941 s
% 83.29/12.10 % (1286478)Peak memory usage: 19 MB
% 83.29/12.10 % (1286478)Instructions burned: 1179 (million)
% 83.29/12.10 % (1286508)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2535736570:i=54282_2987 on theBenchmark for (2987ds/54282Mi)
% 83.29/12.10 % Exception at run slice level
% 101.55/14.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.55/14.69 % (1286510)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1882089992:i=3512:aac=none_2986 on theBenchmark for (2986ds/3512Mi)
% 101.55/14.69 % (1286510)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 101.55/14.69 % (1286504)Instruction limit reached!
% 101.55/14.69 % (1286504)------------------------------
% 101.55/14.69 % (1286504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286504)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286504)Termination reason: Instruction limit
% 101.55/14.69 % (1286504)Termination phase: Saturation
% 101.55/14.69 % (1286504)Time elapsed: 0.747 s
% 101.55/14.69 % (1286504)Peak memory usage: 17 MB
% 101.55/14.69 % (1286504)Instructions burned: 870 (million)
% 101.55/14.69 % (1286512)dis+21_1_sil=32000:sas=cadical:random_seed=2759096837:i=3773:amm=off_2981 on theBenchmark for (2981ds/3773Mi)
% 101.55/14.69 % (1286496)Instruction limit reached!
% 101.55/14.69 % (1286496)------------------------------
% 101.55/14.69 % (1286496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286496)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286496)Termination reason: Instruction limit
% 101.55/14.69 % (1286496)Termination phase: Saturation
% 101.55/14.69 % (1286496)Time elapsed: 1.298 s
% 101.55/14.69 % (1286496)Peak memory usage: 21 MB
% 101.55/14.69 % (1286496)Instructions burned: 1472 (million)
% 101.55/14.69 % (1286518)ott+11_1_sil=16000:gs=on:random_seed=572583363:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2979 on theBenchmark for (2979ds/2251Mi)
% 101.55/14.69 % (1286518)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 101.55/14.69 % (1286494)Instruction limit reached!
% 101.55/14.69 % (1286494)------------------------------
% 101.55/14.69 % (1286494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286494)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286494)Termination reason: Instruction limit
% 101.55/14.69 % (1286494)Termination phase: Saturation
% 101.55/14.69 % (1286494)Time elapsed: 2.130 s
% 101.55/14.69 % (1286494)Peak memory usage: 27 MB
% 101.55/14.69 % (1286494)Instructions burned: 5132 (million)
% 101.55/14.69 % (1286521)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3631280412:fmbsr=1.6:i=67534_2971 on theBenchmark for (2971ds/67534Mi)
% 101.55/14.69 % Exception at run slice level
% 101.55/14.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.55/14.69 % (1286524)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1304897417:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2970 on theBenchmark for (2970ds/4591Mi)
% 101.55/14.69 % (1286518)Instruction limit reached!
% 101.55/14.69 % (1286518)------------------------------
% 101.55/14.69 % (1286518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286518)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286518)Termination reason: Instruction limit
% 101.55/14.69 % (1286518)Termination phase: Saturation
% 101.55/14.69 % (1286518)Time elapsed: 1.851 s
% 101.55/14.69 % (1286518)Peak memory usage: 25 MB
% 101.55/14.69 % (1286518)Instructions burned: 2251 (million)
% 101.55/14.69 % (1286536)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=819964184:i=29340_2960 on theBenchmark for (2960ds/29340Mi)
% 101.55/14.69 % (1286510)Instruction limit reached!
% 101.55/14.69 % (1286510)------------------------------
% 101.55/14.69 % (1286510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286510)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286510)Termination reason: Instruction limit
% 101.55/14.69 % (1286510)Termination phase: Saturation
% 101.55/14.69 % (1286510)Time elapsed: 2.891 s
% 101.55/14.69 % (1286510)Peak memory usage: 26 MB
% 101.55/14.69 % (1286510)Instructions burned: 3513 (million)
% 101.55/14.69 % (1286542)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1762281256:i=5211_2957 on theBenchmark for (2957ds/5211Mi)
% 101.55/14.69 % (1286512)Instruction limit reached!
% 101.55/14.69 % (1286512)------------------------------
% 101.55/14.69 % (1286512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286512)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286512)Termination reason: Instruction limit
% 101.55/14.69 % (1286512)Termination phase: Saturation
% 101.55/14.69 % (1286512)Time elapsed: 2.930 s
% 101.55/14.69 % (1286512)Peak memory usage: 27 MB
% 101.55/14.69 % (1286512)Instructions burned: 3773 (million)
% 101.55/14.69 % (1286544)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1926079900:i=5497:nm=2_2951 on theBenchmark for (2951ds/5497Mi)
% 101.55/14.69 % Exception at run slice level
% 101.55/14.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.55/14.69 % (1286546)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3354099879:fmbsr=2:i=46332_2950 on theBenchmark for (2950ds/46332Mi)
% 101.55/14.69 % (1286524)Instruction limit reached!
% 101.55/14.69 % (1286524)------------------------------
% 101.55/14.69 % (1286524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286524)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286524)Termination reason: Instruction limit
% 101.55/14.69 % (1286524)Termination phase: Saturation
% 101.55/14.69 % (1286524)Time elapsed: 2.013 s
% 101.55/14.69 % (1286524)Peak memory usage: 33 MB
% 101.55/14.69 % (1286524)Instructions burned: 4591 (million)
% 101.55/14.69 % (1286548)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=907215563:i=14071_2950 on theBenchmark for (2950ds/14071Mi)
% 101.55/14.69 % Exception at run slice level
% 101.55/14.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.55/14.69 % (1286550)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=176734454:i=22565:add=on:rawr=on_2949 on theBenchmark for (2949ds/22565Mi)
% 101.55/14.69 % Exception at run slice level
% 101.55/14.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.55/14.69 % (1286552)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3310657777:i=8173:av=off_2949 on theBenchmark for (2949ds/8173Mi)
% 101.55/14.69 % (1286506)Instruction limit reached!
% 101.55/14.69 % (1286506)------------------------------
% 101.55/14.69 % (1286506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286506)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286506)Termination reason: Instruction limit
% 101.55/14.69 % (1286506)Termination phase: Saturation
% 101.55/14.69 % (1286506)Time elapsed: 4.142 s
% 101.55/14.69 % (1286506)Peak memory usage: 40 MB
% 101.55/14.69 % (1286506)Instructions burned: 5114 (million)
% 101.55/14.69 % (1286554)dis+10_16:1_sil=16000:random_seed=2031978759:i=9155:fsr=off_2946 on theBenchmark for (2946ds/9155Mi)
% 101.55/14.69 % (1286542)Instruction limit reached!
% 101.55/14.69 % (1286542)------------------------------
% 101.55/14.69 % (1286542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286542)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286542)Termination reason: Instruction limit
% 101.55/14.69 % (1286542)Termination phase: Saturation
% 101.55/14.69 % (1286542)Time elapsed: 4.212 s
% 101.55/14.69 % (1286542)Peak memory usage: 40 MB
% 101.55/14.69 % (1286542)Instructions burned: 5211 (million)
% 101.55/14.69 % (1286562)ott-3_8_sil=64000:random_seed=1410404437:i=20139:bs=on_2914 on theBenchmark for (2914ds/20139Mi)
% 101.55/14.69 % (1286552)Instruction limit reached!
% 101.55/14.69 % (1286552)------------------------------
% 101.55/14.69 % (1286552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286552)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286552)Termination reason: Instruction limit
% 101.55/14.69 % (1286552)Termination phase: Saturation
% 101.55/14.69 % (1286552)Time elapsed: 6.633 s
% 101.55/14.69 % (1286552)Peak memory usage: 48 MB
% 101.55/14.69 % (1286552)Instructions burned: 8174 (million)
% 101.55/14.69 % (1286564)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=915567345:fmbsr=2:i=32576_2882 on theBenchmark for (2882ds/32576Mi)
% 101.55/14.69 % Exception at run slice level
% 101.55/14.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 101.55/14.69 % (1286566)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=4245999494:i=11404_2881 on theBenchmark for (2881ds/11404Mi)
% 101.55/14.69 % (1286554)Instruction limit reached!
% 101.55/14.69 % (1286554)------------------------------
% 101.55/14.69 % (1286554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.69 % (1286554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.69 % (1286554)CaDiCaL version: 2.1.3
% 101.55/14.69 % (1286554)Termination reason: Instruction limit
% 101.55/14.69 % (1286554)Termination phase: Saturation
% 101.55/14.69 % (1286554)Time elapsed: 7.349 s
% 101.55/14.69 % (1286554)Peak memory usage: 41 MB
% 101.55/14.69 % (1286554)Instructions burned: 9155 (million)
% 101.55/14.69 % (1286570)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2119419233:i=14134_2872 on theBenchmark for (2872ds/14134Mi)
% 101.55/14.69 % (1286570)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 101.55/14.69 % (1286449) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1286443-1286449"...
% 101.55/14.69 % (1286449)...printing done.
% 101.55/14.69 % (1286449)Refutation found. Thanks to Tanya!
% 101.55/14.69 % SZS status Theorem for theBenchmark
% 101.55/14.69 % SZS output start Proof for theBenchmark
% See solution above
% 101.55/14.70 % (1286449)------------------------------
% 101.55/14.70 % (1286449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.55/14.70 % (1286449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.55/14.70 % (1286449)CaDiCaL version: 2.1.3
% 101.55/14.70 % (1286449)Termination reason: Refutation
% 101.55/14.70 % (1286449)Time elapsed: 14.277 s
% 101.55/14.70 % (1286449)Peak memory usage: 58 MB
% 101.55/14.70 % (1286449)Instructions burned: 17638 (million)
% 101.55/14.70 % (1286443)Success in time 14.37 s
% 101.55/14.70 % Vampire exiting
%------------------------------------------------------------------------------