%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP044^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 08:08:05 AM UTC 2026
% Result : Theorem 2.27s 0.62s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 97 ( 40 unt; 0 typ; 11 def)
% Number of atoms : 210 ( 97 equ; 5 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 459 ( 80 ~; 73 |; 0 &; 294 @)
% ( 11 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 10 ( 9 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 187 ( 183 usr; 31 con; 0-4 aty)
% Number of variables : 59 ( 0 sgn 31 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
poly_poly_a: $tType ).
thf(type_def_6,type,
list_poly_a: $tType ).
thf(type_def_7,type,
list_list_a: $tType ).
thf(type_def_8,type,
poly_nat: $tType ).
thf(type_def_9,type,
list_nat: $tType ).
thf(type_def_10,type,
poly_a: $tType ).
thf(type_def_11,type,
list_a: $tType ).
thf(type_def_12,type,
nat: $tType ).
thf(type_def_13,type,
a: $tType ).
thf(type_def_14,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
descar226543321ms_nat: list_nat > list_nat ).
thf(func_def_1,type,
descar282223555poly_a: list_poly_a > list_poly_a ).
thf(func_def_2,type,
descar1375166517sums_a: list_a > list_a ).
thf(func_def_3,type,
descar434775507poly_a: poly_a > poly_poly_a > poly_poly_a ).
thf(func_def_4,type,
descar466059845root_a: a > poly_a > poly_a ).
thf(func_def_5,type,
descar357075861poly_a: list_poly_a > nat ).
thf(func_def_6,type,
descar2095969287nges_a: list_a > nat ).
thf(func_def_7,type,
one_one_nat: nat ).
thf(func_def_8,type,
one_one_poly_nat: poly_nat ).
thf(func_def_9,type,
one_one_poly_poly_a: poly_poly_a ).
thf(func_def_10,type,
one_one_poly_a: poly_a ).
thf(func_def_11,type,
one_one_a: a ).
thf(func_def_12,type,
times_times_nat: nat > nat > nat ).
thf(func_def_13,type,
times_times_poly_a: poly_a > poly_a > poly_a ).
thf(func_def_14,type,
times_times_a: a > a > a ).
thf(func_def_15,type,
uminus_uminus_poly_a: poly_a > poly_a ).
thf(func_def_16,type,
uminus_uminus_a: a > a ).
thf(func_def_17,type,
zero_zero_nat: nat ).
thf(func_def_18,type,
zero_zero_poly_nat: poly_nat ).
thf(func_def_19,type,
zero_z2096148049poly_a: poly_poly_a ).
thf(func_def_20,type,
zero_zero_poly_a: poly_a ).
thf(func_def_21,type,
zero_zero_a: a ).
thf(func_def_22,type,
append_nat: list_nat > list_nat > list_nat ).
thf(func_def_23,type,
append_poly_a: list_poly_a > list_poly_a > list_poly_a ).
thf(func_def_24,type,
append_a: list_a > list_a > list_a ).
thf(func_def_25,type,
cons_list_a: list_a > list_list_a > list_list_a ).
thf(func_def_26,type,
cons_nat: nat > list_nat > list_nat ).
thf(func_def_27,type,
cons_poly_a: poly_a > list_poly_a > list_poly_a ).
thf(func_def_28,type,
cons_a: a > list_a > list_a ).
thf(func_def_29,type,
nil_list_a: list_list_a ).
thf(func_def_30,type,
nil_nat: list_nat ).
thf(func_def_31,type,
nil_poly_a: list_poly_a ).
thf(func_def_32,type,
nil_a: list_a ).
thf(func_def_33,type,
null_poly_a: list_poly_a > $o ).
thf(func_def_34,type,
null_a: list_a > $o ).
thf(func_def_35,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_36,type,
ord_less_poly_a: poly_a > poly_a > $o ).
thf(func_def_37,type,
ord_less_a: a > a > $o ).
thf(func_def_38,type,
poly_nat2: list_nat > poly_nat ).
thf(func_def_39,type,
poly_poly_a2: list_poly_a > poly_poly_a ).
thf(func_def_40,type,
poly_a2: list_a > poly_a ).
thf(func_def_41,type,
coeffs_nat: poly_nat > list_nat ).
thf(func_def_42,type,
coeffs_poly_a: poly_poly_a > list_poly_a ).
thf(func_def_43,type,
coeffs_a: poly_a > list_a ).
thf(func_def_44,type,
is_zero_poly_a: poly_poly_a > $o ).
thf(func_def_45,type,
is_zero_a: poly_a > $o ).
thf(func_def_46,type,
pCons_nat: nat > poly_nat > poly_nat ).
thf(func_def_47,type,
pCons_poly_a: poly_a > poly_poly_a > poly_poly_a ).
thf(func_def_48,type,
pCons_a: a > poly_a > poly_a ).
thf(func_def_49,type,
smult_nat: nat > poly_nat > poly_nat ).
thf(func_def_50,type,
smult_poly_a: poly_a > poly_poly_a > poly_poly_a ).
thf(func_def_51,type,
smult_a: a > poly_a > poly_a ).
thf(func_def_52,type,
g: poly_a ).
thf(func_def_53,type,
v: poly_a > nat ).
thf(func_def_54,type,
xs: list_a ).
thf(func_def_55,type,
ys: list_a ).
thf(func_def_59,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_60,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_61,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_62,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_63,type,
sK0: ( list_a > list_a > $o ) > a ).
thf(func_def_64,type,
sK1: ( list_a > list_a > $o ) > list_a ).
thf(func_def_65,type,
sK2: ( list_a > list_a > $o ) > a ).
thf(func_def_66,type,
sK3: ( list_a > list_a > $o ) > list_a ).
thf(func_def_67,type,
sK4: ( list_a > list_a > $o ) > list_a ).
thf(func_def_68,type,
sK5: ( list_a > list_a > $o ) > a ).
thf(func_def_69,type,
sK6: ( list_a > list_a > $o ) > list_a ).
thf(func_def_70,type,
sK7: poly_a > poly_a ).
thf(func_def_71,type,
sK8: poly_a > a ).
thf(func_def_72,type,
sK9: ( list_a > list_a > $o ) > a ).
thf(func_def_73,type,
sK10: ( list_a > list_a > $o ) > list_a ).
thf(func_def_74,type,
sK11: ( list_a > list_a > $o ) > a ).
thf(func_def_75,type,
sK12: ( list_a > list_a > $o ) > list_a ).
thf(func_def_76,type,
sK13: ( list_a > list_a > $o ) > list_a ).
thf(func_def_77,type,
sK14: ( list_a > list_a > $o ) > list_a ).
thf(func_def_78,type,
sK15: ( list_a > list_a > $o ) > a ).
thf(func_def_79,type,
sK16: ( list_a > $o ) > list_a ).
thf(func_def_80,type,
sK17: ( list_a > $o ) > a ).
thf(func_def_81,type,
sK18: ( list_a > $o ) > a ).
thf(func_def_82,type,
sK19: ( list_a > $o ) > a ).
thf(func_def_83,type,
sK20: ( list_a > list_a > $o ) > list_a ).
thf(func_def_84,type,
sK21: ( list_a > list_a > $o ) > a ).
thf(func_def_85,type,
sK22: ( list_a > list_a > $o ) > list_a ).
thf(func_def_86,type,
sK23: ( list_a > list_a > $o ) > a ).
thf(func_def_87,type,
sK24: ( list_a > list_a > $o ) > list_a ).
thf(func_def_88,type,
sK25: ( list_a > list_a > $o ) > list_a ).
thf(func_def_89,type,
sK26: ( poly_a > poly_a > $o ) > poly_a ).
thf(func_def_90,type,
sK27: ( poly_a > poly_a > $o ) > a ).
thf(func_def_91,type,
sK28: ( poly_a > poly_a > $o ) > poly_a ).
thf(func_def_92,type,
sK29: ( poly_a > poly_a > $o ) > a ).
thf(func_def_93,type,
sK30: list_a > list_a ).
thf(func_def_94,type,
sK31: list_a > a ).
thf(func_def_95,type,
sK32: poly_a > a ).
thf(func_def_96,type,
sK33: poly_a > poly_a ).
thf(func_def_97,type,
sK34: ( poly_a > $o ) > a ).
thf(func_def_98,type,
sK35: ( poly_a > $o ) > poly_a ).
thf(func_def_99,type,
sK36: ( list_a > $o ) > a ).
thf(func_def_100,type,
sK37: ( list_a > $o ) > list_a ).
thf(func_def_101,type,
sK38: ( list_a > list_a > $o ) > a ).
thf(func_def_102,type,
sK39: ( list_a > list_a > $o ) > list_a ).
thf(func_def_103,type,
sK40: ( list_a > list_a > $o ) > list_a ).
thf(func_def_104,type,
sK41: ( list_a > list_a > $o ) > a ).
thf(func_def_105,type,
sK42: ( list_a > list_a > $o ) > a ).
thf(func_def_106,type,
sK43: ( list_a > list_a > $o ) > list_a ).
thf(func_def_107,type,
sK44: ( list_a > list_a > $o ) > a ).
thf(func_def_108,type,
sK45: ( list_a > list_a > $o ) > list_a ).
thf(func_def_109,type,
sK46: ( nat > $o ) > nat ).
thf(func_def_110,type,
sK47: ( poly_a > $o ) > poly_a ).
thf(func_def_111,type,
sK48: ( poly_a > $o ) > a ).
thf(func_def_112,type,
sK49: ( ( a > a > $o ) > list_a > $o ) > a > a > $o ).
thf(func_def_113,type,
sK50: ( ( a > a > $o ) > list_a > $o ) > a ).
thf(func_def_114,type,
sK51: ( ( a > a > $o ) > list_a > $o ) > a ).
thf(func_def_115,type,
sK52: ( ( a > a > $o ) > list_a > $o ) > list_a ).
thf(func_def_116,type,
sK53: ( ( a > a > $o ) > list_a > $o ) > a ).
thf(func_def_117,type,
sK54: ( ( a > a > $o ) > list_a > $o ) > a > a > $o ).
thf(func_def_118,type,
sK55: ( ( a > a > $o ) > list_a > $o ) > a > a > $o ).
thf(func_def_119,type,
sK56: ( poly_poly_a > $o ) > poly_poly_a ).
thf(func_def_120,type,
sK57: ( poly_poly_a > $o ) > poly_a ).
thf(func_def_121,type,
sK58: list_a > a ).
thf(func_def_122,type,
sK59: list_a > list_a ).
thf(func_def_123,type,
sK60: ( list_a > $o ) > a ).
thf(func_def_124,type,
sK61: ( list_a > $o ) > a ).
thf(func_def_125,type,
sK62: ( list_a > $o ) > list_a ).
thf(func_def_126,type,
sK63: list_a > list_a > list_a > list_a > list_a ).
thf(func_def_127,type,
sK64: ( nat > $o ) > nat ).
thf(func_def_128,type,
sK65: list_a > a ).
thf(func_def_129,type,
sK66: list_a > list_a ).
thf(func_def_130,type,
sK67: ( list_a > $o ) > a ).
thf(func_def_131,type,
sK68: ( list_a > $o ) > list_a ).
thf(func_def_132,type,
sK69: ( ( a > a > $o ) > list_a > $o ) > a ).
thf(func_def_133,type,
sK70: ( ( a > a > $o ) > list_a > $o ) > a > a > $o ).
thf(func_def_134,type,
sK71: ( ( a > a > $o ) > list_a > $o ) > list_a ).
thf(func_def_135,type,
sK72: ( ( a > a > $o ) > list_a > $o ) > a > a > $o ).
thf(func_def_136,type,
sK73: list_a > list_a ).
thf(func_def_137,type,
sK74: list_a > a ).
thf(func_def_138,type,
sK75: ( poly_nat > $o ) > poly_nat ).
thf(func_def_139,type,
sK76: ( poly_nat > $o ) > nat ).
thf(func_def_140,type,
sK77: ( ( a > a ) > list_a > list_a > $o ) > a > a ).
thf(func_def_141,type,
sK78: ( ( a > a ) > list_a > list_a > $o ) > list_a ).
thf(func_def_142,type,
sK79: ( ( a > a ) > list_a > list_a > $o ) > list_a ).
thf(func_def_143,type,
sK80: ( ( a > a ) > list_a > list_a > $o ) > a ).
thf(func_def_144,type,
sK81: ( ( a > a ) > list_a > list_a > $o ) > list_a ).
thf(func_def_145,type,
sK82: ( ( a > a ) > list_a > list_a > $o ) > a > a ).
thf(func_def_146,type,
sK83: ( list_a > list_a > $o ) > list_a ).
thf(func_def_147,type,
sK84: ( list_a > list_a > $o ) > a ).
thf(func_def_148,type,
sK85: ( list_a > list_a > $o ) > list_a ).
thf(func_def_149,type,
sK86: ( list_a > list_a > $o ) > list_a ).
thf(func_def_150,type,
sK87: ( nat > $o ) > nat ).
thf(func_def_151,type,
sK88: list_a > a ).
thf(func_def_152,type,
sK89: list_a > a ).
thf(func_def_153,type,
sK90: list_a > a ).
thf(func_def_154,type,
sK91: list_a > list_a ).
thf(func_def_155,type,
sK92: list_a > a ).
thf(func_def_156,type,
sK93: list_a > a ).
thf(func_def_157,type,
sK94: list_a > a ).
thf(func_def_158,type,
sK95: list_a > list_a ).
thf(func_def_159,type,
sK96: ( list_a > $o ) > a ).
thf(func_def_160,type,
sK97: ( list_a > $o ) > a ).
thf(func_def_161,type,
sK98: ( list_a > $o ) > list_a ).
thf(func_def_162,type,
sK99: ( list_a > $o ) > a ).
thf(func_def_163,type,
sK100: list_list_a > list_list_a ).
thf(func_def_164,type,
sK101: list_list_a > list_list_a ).
thf(func_def_165,type,
sK102: list_list_a > list_a ).
thf(func_def_166,type,
sK103: list_list_a > a ).
thf(func_def_167,type,
sK104: ( list_a > $o ) > a ).
thf(func_def_168,type,
sK105: ( list_a > $o ) > list_a ).
thf(func_def_169,type,
vNOT: $o > $o ).
thf(func_def_171,type,
inv_coeffs_a_107: list_a > poly_a ).
thf(func_def_172,type,
inv_uminus_uminus_a_108: a > a ).
thf(func_def_173,type,
inv_append_a_109: list_a > list_a > list_a ).
thf(func_def_174,type,
inv_append_a_110: list_a > list_a > list_a ).
thf(f4,axiom,
( ( ^ [X2: poly_a,X3: poly_a] :
( ( coeffs_a @ X2 )
= ( coeffs_a @ X3 ) ) )
= ( ^ [X0: poly_a,X1: poly_a] : ( X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_coeffs__eq__iff) ).
thf(f5,axiom,
( ys
= ( descar1375166517sums_a @ xs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_ys) ).
thf(f7,axiom,
! [X0: list_a,X1: poly_a] :
( ( ( poly_a2 @ X0 )
= X1 )
=> ( ( descar2095969287nges_a @ X0 )
= ( descar2095969287nges_a @ ( coeffs_a @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_sign__changes__coeff__sign__changes) ).
thf(f8,axiom,
( ys
= ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_ys__def) ).
thf(f14,axiom,
! [X0: poly_a] :
( ( poly_a2 @ ( coeffs_a @ X0 ) )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_Poly__coeffs) ).
thf(f17,axiom,
( xs
= ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_xs__def) ).
thf(f67,axiom,
! [X0: list_a] :
( ( poly_a2 @ ( append_a @ X0 @ ( cons_a @ zero_zero_a @ nil_a ) ) )
= ( poly_a2 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_Poly__snoc__zero) ).
thf(f347,conjecture,
( ( descar2095969287nges_a @ ys )
= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f348,negated_conjecture,
( ( descar2095969287nges_a @ ys )
!= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) ),
inference(negated_conjecture,[status(cth)],[f347]) ).
thf(f480,plain,
( ( ^ [X0: poly_a,X1: poly_a] :
( ( coeffs_a @ X0 )
= ( coeffs_a @ X1 ) ) )
= ( ^ [X2: poly_a,X3: poly_a] : ( X2 = X3 ) ) ),
inference(rectify,[],[f4]) ).
thf(f481,plain,
( ( ^ [Y0: poly_a,Y1: poly_a] : ( Y0 = Y1 ) )
= ( ^ [Y0: poly_a,Y1: poly_a] :
( ( coeffs_a @ Y0 )
= ( coeffs_a @ Y1 ) ) ) ),
inference(fool_elimination,[],[f480]) ).
thf(f712,plain,
( ( descar2095969287nges_a @ ys )
!= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) ),
inference(flattening,[],[f348]) ).
thf(f905,plain,
! [X0: list_a,X1: poly_a] :
( ( ( poly_a2 @ X0 )
!= X1 )
| ( ( descar2095969287nges_a @ X0 )
= ( descar2095969287nges_a @ ( coeffs_a @ X1 ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f1259,plain,
( ys
= ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f1274,plain,
( ( ^ [Y0: poly_a,Y1: poly_a] : ( Y0 = Y1 ) )
= ( ^ [Y0: poly_a,Y1: poly_a] :
( ( coeffs_a @ Y0 )
= ( coeffs_a @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f481]) ).
thf(f1282,plain,
( xs
= ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f1322,plain,
( ys
= ( descar1375166517sums_a @ xs ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f1413,plain,
! [X0: poly_a] :
( ( poly_a2 @ ( coeffs_a @ X0 ) )
= X0 ),
inference(cnf_transformation,[],[f14]) ).
thf(f1584,plain,
( ( descar2095969287nges_a @ ys )
!= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) ),
inference(cnf_transformation,[],[f712]) ).
thf(f1742,plain,
! [X0: list_a,X1: poly_a] :
( ( ( poly_a2 @ X0 )
!= X1 )
| ( ( descar2095969287nges_a @ X0 )
= ( descar2095969287nges_a @ ( coeffs_a @ X1 ) ) ) ),
inference(cnf_transformation,[],[f905]) ).
thf(f1780,plain,
! [X0: list_a] :
( ( poly_a2 @ X0 )
= ( poly_a2 @ ( append_a @ X0 @ ( cons_a @ zero_zero_a @ nil_a ) ) ) ),
inference(cnf_transformation,[],[f67]) ).
thf(f1916,plain,
! [X0: list_a] :
( ( descar2095969287nges_a @ X0 )
= ( descar2095969287nges_a @ ( coeffs_a @ ( poly_a2 @ X0 ) ) ) ),
inference(equality_resolution,[],[f1742]) ).
thf(f1948,plain,
( (=)
= ( ^ [Y0: poly_a,Y1: poly_a] :
( ( coeffs_a @ Y0 )
= ( coeffs_a @ Y1 ) ) ) ),
inference(beta-eta_normalization,[],[f1274]) ).
thf(f2001,definition,
( spl106_7
<=> ( ( descar2095969287nges_a @ ys )
= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) ) ),
introduced(definition,[new_symbols(definition,[spl106_7])],[avatar_definition]) ).
thf(f2003,plain,
( ( ( descar2095969287nges_a @ ys )
!= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) )
| spl106_7 ),
inference(avatar_component_clause,[],[f2001]) ).
thf(f2004,plain,
~ spl106_7,
inference(avatar_split_clause,[],[f1584,f2001]) ).
thf(f2071,definition,
( spl106_21
<=> ( ys
= ( descar1375166517sums_a @ xs ) ) ),
introduced(definition,[new_symbols(definition,[spl106_21])],[avatar_definition]) ).
thf(f2073,plain,
( ( ys
= ( descar1375166517sums_a @ xs ) )
| ~ spl106_21 ),
inference(avatar_component_clause,[],[f2071]) ).
thf(f2074,plain,
spl106_21,
inference(avatar_split_clause,[],[f1322,f2071]) ).
thf(f2091,definition,
( spl106_25
<=> ( xs
= ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) ) ),
introduced(definition,[new_symbols(definition,[spl106_25])],[avatar_definition]) ).
thf(f2093,plain,
( ( xs
= ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) )
| ~ spl106_25 ),
inference(avatar_component_clause,[],[f2091]) ).
thf(f2094,plain,
spl106_25,
inference(avatar_split_clause,[],[f1282,f2091]) ).
thf(f2101,definition,
( spl106_27
<=> ( (=)
= ( ^ [Y0: poly_a,Y1: poly_a] :
( ( coeffs_a @ Y0 )
= ( coeffs_a @ Y1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl106_27])],[avatar_definition]) ).
thf(f2103,plain,
( ( (=)
= ( ^ [Y0: poly_a,Y1: poly_a] :
( ( coeffs_a @ Y0 )
= ( coeffs_a @ Y1 ) ) ) )
| ~ spl106_27 ),
inference(avatar_component_clause,[],[f2101]) ).
thf(f2104,plain,
spl106_27,
inference(avatar_split_clause,[],[f1948,f2101]) ).
thf(f2151,definition,
( spl106_37
<=> ( ys
= ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) ) ),
introduced(definition,[new_symbols(definition,[spl106_37])],[avatar_definition]) ).
thf(f2153,plain,
( ( ys
= ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) )
| ~ spl106_37 ),
inference(avatar_component_clause,[],[f2151]) ).
thf(f2154,plain,
spl106_37,
inference(avatar_split_clause,[],[f1259,f2151]) ).
thf(f2204,plain,
( ( ( descar2095969287nges_a @ ( coeffs_a @ g ) )
!= ( descar2095969287nges_a @ ( descar1375166517sums_a @ xs ) ) )
| spl106_7
| ~ spl106_21 ),
inference(forward_demodulation,[],[f2003,f2073]) ).
thf(f2206,definition,
( spl106_47
<=> ( ( descar2095969287nges_a @ ( coeffs_a @ g ) )
= ( descar2095969287nges_a @ ( descar1375166517sums_a @ xs ) ) ) ),
introduced(definition,[new_symbols(definition,[spl106_47])],[avatar_definition]) ).
thf(f2208,plain,
( ( ( descar2095969287nges_a @ ( coeffs_a @ g ) )
!= ( descar2095969287nges_a @ ( descar1375166517sums_a @ xs ) ) )
| spl106_47 ),
inference(avatar_component_clause,[],[f2206]) ).
thf(f2209,plain,
( ~ spl106_47
| spl106_7
| ~ spl106_21 ),
inference(avatar_split_clause,[],[f2204,f2071,f2001,f2206]) ).
thf(f2213,plain,
( ( ( descar1375166517sums_a @ xs )
= ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) )
| ~ spl106_21
| ~ spl106_37 ),
inference(superposition,[],[f2073,f2153]) ).
thf(f2215,definition,
( spl106_48
<=> ( ( descar1375166517sums_a @ xs )
= ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) ) ),
introduced(definition,[new_symbols(definition,[spl106_48])],[avatar_definition]) ).
thf(f2217,plain,
( ( ( descar1375166517sums_a @ xs )
= ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) )
| ~ spl106_48 ),
inference(avatar_component_clause,[],[f2215]) ).
thf(f2218,plain,
( spl106_48
| ~ spl106_21
| ~ spl106_37 ),
inference(avatar_split_clause,[],[f2213,f2151,f2071,f2215]) ).
thf(f2220,plain,
( ( ( descar2095969287nges_a @ ( coeffs_a @ g ) )
!= ( descar2095969287nges_a @ ( descar1375166517sums_a @ ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) ) ) )
| ~ spl106_25
| spl106_47 ),
inference(superposition,[],[f2208,f2093]) ).
thf(f2222,definition,
( spl106_49
<=> ( ( descar2095969287nges_a @ ( coeffs_a @ g ) )
= ( descar2095969287nges_a @ ( descar1375166517sums_a @ ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl106_49])],[avatar_definition]) ).
thf(f2224,plain,
( ( ( descar2095969287nges_a @ ( coeffs_a @ g ) )
!= ( descar2095969287nges_a @ ( descar1375166517sums_a @ ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) ) ) )
| spl106_49 ),
inference(avatar_component_clause,[],[f2222]) ).
thf(f2225,plain,
( ~ spl106_49
| ~ spl106_25
| spl106_47 ),
inference(avatar_split_clause,[],[f2220,f2206,f2091,f2222]) ).
thf(f2281,plain,
( ( ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) )
= ( descar1375166517sums_a @ ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) ) )
| ~ spl106_25
| ~ spl106_48 ),
inference(forward_demodulation,[],[f2217,f2093]) ).
thf(f2283,definition,
( spl106_53
<=> ( ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) )
= ( descar1375166517sums_a @ ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl106_53])],[avatar_definition]) ).
thf(f2285,plain,
( ( ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) )
= ( descar1375166517sums_a @ ( coeffs_a @ ( times_times_poly_a @ ( pCons_a @ one_one_a @ ( pCons_a @ ( uminus_uminus_a @ one_one_a ) @ zero_zero_poly_a ) ) @ g ) ) ) )
| ~ spl106_53 ),
inference(avatar_component_clause,[],[f2283]) ).
thf(f2286,plain,
( spl106_53
| ~ spl106_25
| ~ spl106_48 ),
inference(avatar_split_clause,[],[f2281,f2215,f2091,f2283]) ).
thf(f2345,plain,
( ( ( descar2095969287nges_a @ ( coeffs_a @ g ) )
!= ( descar2095969287nges_a @ ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) ) )
| spl106_49
| ~ spl106_53 ),
inference(superposition,[],[f2224,f2285]) ).
thf(f2347,definition,
( spl106_54
<=> ( ( descar2095969287nges_a @ ( coeffs_a @ g ) )
= ( descar2095969287nges_a @ ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl106_54])],[avatar_definition]) ).
thf(f2349,plain,
( ( ( descar2095969287nges_a @ ( coeffs_a @ g ) )
!= ( descar2095969287nges_a @ ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) ) )
| spl106_54 ),
inference(avatar_component_clause,[],[f2347]) ).
thf(f2350,plain,
( ~ spl106_54
| spl106_49
| ~ spl106_53 ),
inference(avatar_split_clause,[],[f2345,f2283,f2222,f2347]) ).
thf(f2400,plain,
( ! [X1: poly_a] :
( ( ^ [Y0: poly_a,Y1: poly_a] :
( ( coeffs_a @ Y0 )
= ( coeffs_a @ Y1 ) )
@ X1 )
= ( (=) @ X1 ) )
| ~ spl106_27 ),
inference(argument_congruence,[],[f2103]) ).
thf(f2401,plain,
( ! [X1: poly_a] :
( ( ^ [Y0: poly_a] :
( ( coeffs_a @ X1 )
= ( coeffs_a @ Y0 ) ) )
= ( (=) @ X1 ) )
| ~ spl106_27 ),
inference(beta-eta_normalization,[],[f2400]) ).
thf(f2402,plain,
( ! [X2: poly_a,X1: poly_a] :
( ( X1 = X2 )
= ( ^ [Y0: poly_a] :
( ( coeffs_a @ X1 )
= ( coeffs_a @ Y0 ) )
@ X2 ) )
| ~ spl106_27 ),
inference(argument_congruence,[],[f2401]) ).
thf(f2404,plain,
( ! [X2: poly_a,X1: poly_a] :
( ( $true
= ( ^ [Y0: poly_a] :
( ( coeffs_a @ X1 )
= ( coeffs_a @ Y0 ) )
@ X2 ) )
| ( $false
= ( X1 = X2 ) ) )
| ~ spl106_27 ),
inference(iff_proxy_clausification,[],[f2402]) ).
thf(f2405,plain,
( ! [X2: poly_a,X1: poly_a] :
( ( $true
= ( ^ [Y0: poly_a] :
( ( coeffs_a @ X1 )
= ( coeffs_a @ Y0 ) )
@ X2 ) )
| ( X1 != X2 ) )
| ~ spl106_27 ),
inference(equality_proxy_clausification,[],[f2404]) ).
thf(f2406,plain,
( ! [X2: poly_a,X1: poly_a] :
( ( $true
= ( ( coeffs_a @ X1 )
= ( coeffs_a @ X2 ) ) )
| ( X1 != X2 ) )
| ~ spl106_27 ),
inference(beta-eta_normalization,[],[f2405]) ).
thf(f2407,plain,
( ! [X2: poly_a,X1: poly_a] :
( ( ( coeffs_a @ X2 )
= ( coeffs_a @ X1 ) )
| ( X1 != X2 ) )
| ~ spl106_27 ),
inference(equality_proxy_clausification,[],[f2406]) ).
thf(f2426,plain,
( ! [X0: poly_a,X1: list_a] :
( ( ( descar2095969287nges_a @ ( coeffs_a @ X0 ) )
= ( descar2095969287nges_a @ X1 ) )
| ( ( poly_a2 @ X1 )
!= X0 ) )
| ~ spl106_27 ),
inference(superposition,[],[f1916,f2407]) ).
thf(f2829,plain,
( ! [X0: poly_a] :
( ( ( poly_a2 @ ( append_a @ ( coeffs_a @ g ) @ ( cons_a @ zero_zero_a @ nil_a ) ) )
!= X0 )
| ( ( descar2095969287nges_a @ ( coeffs_a @ X0 ) )
!= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) ) )
| ~ spl106_27
| spl106_54 ),
inference(superposition,[],[f2349,f2426]) ).
thf(f5225,definition,
( spl106_142
<=> ! [X0: poly_a] : ( g != X0 ) ),
introduced(definition,[new_symbols(definition,[spl106_142])],[avatar_definition]) ).
thf(f5226,plain,
( ! [X0: poly_a] : ( g != X0 )
| ~ spl106_142 ),
inference(avatar_component_clause,[],[f5225]) ).
thf(f6888,plain,
( ! [X0: poly_a] :
( ( ( descar2095969287nges_a @ ( coeffs_a @ X0 ) )
!= ( descar2095969287nges_a @ ( coeffs_a @ g ) ) )
| ( ( poly_a2 @ ( coeffs_a @ g ) )
!= X0 ) )
| ~ spl106_27
| spl106_54 ),
inference(superposition,[],[f2829,f1780]) ).
thf(f6893,plain,
( ! [X0: poly_a] :
( ( poly_a2 @ ( coeffs_a @ g ) )
!= X0 )
| ~ spl106_27
| spl106_54 ),
inference(forward_subsumption_resolution,[],[f6888,f2426]) ).
thf(f6899,plain,
( ! [X0: poly_a] : ( g != X0 )
| ~ spl106_27
| spl106_54 ),
inference(forward_demodulation,[],[f6893,f1413]) ).
thf(f6901,plain,
( spl106_142
| ~ spl106_27
| spl106_54 ),
inference(avatar_split_clause,[],[f6899,f2347,f2101,f5225]) ).
thf(f6985,plain,
( ( g != g )
| ~ spl106_142 ),
inference(imitation,[],[f5226]) ).
thf(f6988,plain,
( $false
| ~ spl106_142 ),
inference(trivial_inequality_removal,[],[f6985]) ).
thf(f6989,plain,
~ spl106_142,
inference(avatar_contradiction_clause,[],[f6988]) ).
cnf(s7,plain,
~ spl106_7,
inference(sat_conversion,[],[f2004]) ).
cnf(s23,plain,
spl106_21,
inference(sat_conversion,[],[f2074]) ).
cnf(s31,plain,
spl106_25,
inference(sat_conversion,[],[f2094]) ).
cnf(s33,plain,
spl106_27,
inference(sat_conversion,[],[f2104]) ).
cnf(s46,plain,
spl106_37,
inference(sat_conversion,[],[f2154]) ).
cnf(s73,plain,
( spl106_7
| ~ spl106_21
| ~ spl106_47 ),
inference(sat_conversion,[],[f2209]) ).
cnf(s74,plain,
( ~ spl106_21
| ~ spl106_37
| spl106_48 ),
inference(sat_conversion,[],[f2218]) ).
cnf(s76,plain,
( ~ spl106_25
| spl106_47
| ~ spl106_49 ),
inference(sat_conversion,[],[f2225]) ).
cnf(s86,plain,
( ~ spl106_25
| ~ spl106_48
| spl106_53 ),
inference(sat_conversion,[],[f2286]) ).
cnf(s87,plain,
( spl106_49
| ~ spl106_53
| ~ spl106_54 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s396,plain,
( ~ spl106_27
| spl106_54
| spl106_142 ),
inference(sat_conversion,[],[f6901]) ).
cnf(s400,plain,
~ spl106_142,
inference(sat_conversion,[],[f6989]) ).
cnf(s401,plain,
( ~ spl106_27
| spl106_54 ),
inference(rat,[],[s396,s400]) ).
cnf(s419,plain,
spl106_54,
inference(rat,[],[s401,s33]) ).
cnf(s421,plain,
spl106_48,
inference(rat,[],[s74,s46,s23]) ).
cnf(s422,plain,
spl106_53,
inference(rat,[],[s86,s31,s421]) ).
cnf(s423,plain,
spl106_49,
inference(rat,[],[s87,s419,s422]) ).
cnf(s424,plain,
spl106_47,
inference(rat,[],[s76,s31,s423]) ).
cnf(s425,plain,
spl106_7,
inference(rat,[],[s73,s23,s424]) ).
cnf(s438,plain,
$false,
inference(rat,[],[s7,s425]) ).
thf(f6990,plain,
$false,
inference(avatar_sat_refutation,[],[s438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP044^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n009.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 19:40:45 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.41 % (263399)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.66/0.41 % (263408)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=213749971:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.66/0.41 % (263410)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.66/0.41 % (263410)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.66/0.41 % (263406)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4194550037:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.66/0.41 % (263404)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1236410243:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.66/0.41 % (263405)lrs+10_16_si=on:nwc=1.5:random_seed=430893618:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.66/0.41 % (263407)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1944037003:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.66/0.41 % (263408)Instruction limit reached!
% 0.66/0.41 % (263408)------------------------------
% 0.66/0.41 % (263408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (263408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (263408)CaDiCaL version: 2.1.3
% 0.66/0.41 % (263409)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1283733048:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.66/0.41 % (263408)Termination reason: Instruction limit
% 0.66/0.41 % (263408)Termination phase: Preprocessing 3
% 0.66/0.41 % (263408)Time elapsed: 0.007 s
% 0.66/0.41 % (263408)Peak memory usage: 11 MB
% 0.66/0.41 % (263408)Instructions burned: 27 (million)
% 0.66/0.41 % (263410)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2548541007:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.66/0.41 % (263406)Instruction limit reached!
% 0.66/0.41 % (263406)------------------------------
% 0.66/0.41 % (263406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (263406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (263406)CaDiCaL version: 2.1.3
% 0.66/0.41 % (263406)Termination reason: Instruction limit
% 0.66/0.41 % (263406)Termination phase: shuffling
% 0.66/0.41 % (263406)Time elapsed: 0.002 s
% 0.66/0.41 % (263406)Peak memory usage: 10 MB
% 0.66/0.41 % (263406)Instructions burned: 3 (million)
% 0.66/0.41 % (263405)Instruction limit reached!
% 0.66/0.41 % (263405)------------------------------
% 0.66/0.41 % (263405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (263405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (263405)CaDiCaL version: 2.1.3
% 0.66/0.41 % (263405)Termination reason: Instruction limit
% 0.66/0.41 % (263405)Termination phase: Property scanning
% 0.66/0.41 % (263405)Time elapsed: 0.008 s
% 0.66/0.41 % (263405)Peak memory usage: 10 MB
% 0.66/0.41 % (263405)Instructions burned: 18 (million)
% 0.66/0.41 % (263418)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1494800081:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.41 % (263418)Instruction limit reached!
% 0.66/0.41 % (263418)------------------------------
% 0.66/0.41 % (263418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (263418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (263418)CaDiCaL version: 2.1.3
% 0.66/0.41 % (263418)Termination reason: Instruction limit
% 0.66/0.41 % (263418)Termination phase: Property scanning
% 0.66/0.41 % (263418)Time elapsed: 0.003 s
% 0.66/0.41 % (263418)Peak memory usage: 10 MB
% 0.66/0.41 % (263418)Instructions burned: 13 (million)
% 0.66/0.41 % (263419)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3890343621:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.66/0.41 % (263419)Instruction limit reached!
% 0.66/0.44 % (263419)------------------------------
% 0.66/0.44 % (263419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (263419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (263419)CaDiCaL version: 2.1.3
% 0.66/0.44 % (263419)Termination reason: Instruction limit
% 0.66/0.44 % (263419)Termination phase: shuffling
% 0.66/0.44 % (263419)Time elapsed: 0.003 s
% 0.66/0.44 % (263419)Peak memory usage: 10 MB
% 0.66/0.44 % (263419)Instructions burned: 5 (million)
% 0.66/0.44 % (263422)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1449963295:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.66/0.44 % (263422)Instruction limit reached!
% 0.66/0.44 % (263422)------------------------------
% 0.66/0.44 % (263422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (263422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (263422)CaDiCaL version: 2.1.3
% 0.66/0.44 % (263422)Termination reason: Instruction limit
% 0.66/0.44 % (263422)Termination phase: Property scanning
% 0.66/0.44 % (263422)Time elapsed: 0.003 s
% 0.66/0.44 % (263422)Peak memory usage: 10 MB
% 0.66/0.44 % (263422)Instructions burned: 13 (million)
% 0.66/0.44 % (263409)Instruction limit reached!
% 0.66/0.44 % (263409)------------------------------
% 0.66/0.44 % (263409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (263409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (263409)CaDiCaL version: 2.1.3
% 0.66/0.44 % (263409)Termination reason: Instruction limit
% 0.66/0.44 % (263409)Termination phase: Saturation
% 0.66/0.44 % (263409)Time elapsed: 0.035 s
% 0.66/0.44 % (263409)Peak memory usage: 12 MB
% 0.66/0.44 % (263409)Instructions burned: 77 (million)
% 0.66/0.44 % (263404)Instruction limit reached!
% 0.66/0.44 % (263404)------------------------------
% 0.66/0.44 % (263404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (263404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (263404)CaDiCaL version: 2.1.3
% 0.66/0.44 % (263404)Termination reason: Instruction limit
% 0.66/0.44 % (263404)Termination phase: Saturation
% 0.66/0.44 % (263404)Time elapsed: 0.040 s
% 0.66/0.44 % (263404)Peak memory usage: 13 MB
% 0.66/0.44 % (263404)Instructions burned: 87 (million)
% 0.66/0.44 % (263424)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.66/0.44 % (263424)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.44 % (263426)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=646630536:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.66/0.44 % (263420)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.44 % (263424)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=441734189:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.66/0.44 % (263420)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1194312535:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.66/0.44 % (263427)lrs+10_1_si=on:cs=on:random_seed=1908620729:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.66/0.44 % (263420)Instruction limit reached!
% 0.66/0.44 % (263420)------------------------------
% 0.66/0.44 % (263420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (263420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (263420)CaDiCaL version: 2.1.3
% 0.66/0.44 % (263420)Termination reason: Instruction limit
% 0.66/0.44 % (263420)Termination phase: shuffling
% 0.66/0.44 % (263420)Time elapsed: 0.006 s
% 0.66/0.44 % (263420)Peak memory usage: 10 MB
% 0.66/0.44 % (263420)Instructions burned: 7 (million)
% 0.66/0.44 % (263424)Instruction limit reached!
% 0.66/0.44 % (263424)------------------------------
% 0.66/0.44 % (263424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (263424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (263424)CaDiCaL version: 2.1.3
% 0.66/0.47 % (263424)Termination reason: Instruction limit
% 0.66/0.47 % (263424)Termination phase: Property scanning
% 0.66/0.47 % (263424)Time elapsed: 0.016 s
% 0.66/0.47 % (263424)Peak memory usage: 10 MB
% 0.66/0.47 % (263424)Instructions burned: 35 (million)
% 0.66/0.47 % (263426)Instruction limit reached!
% 0.66/0.47 % (263426)------------------------------
% 0.66/0.47 % (263426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (263426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (263426)CaDiCaL version: 2.1.3
% 0.66/0.47 % (263426)Termination reason: Instruction limit
% 0.66/0.47 % (263426)Termination phase: Function definition elimination
% 0.66/0.47 % (263426)Time elapsed: 0.020 s
% 0.66/0.47 % (263426)Peak memory usage: 11 MB
% 0.66/0.47 % (263426)Instructions burned: 88 (million)
% 0.66/0.47 % (263427)Instruction limit reached!
% 0.66/0.47 % (263427)------------------------------
% 0.66/0.47 % (263427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (263427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (263427)CaDiCaL version: 2.1.3
% 0.66/0.47 % (263427)Termination reason: Instruction limit
% 0.66/0.47 % (263427)Termination phase: shuffling
% 0.66/0.47 % (263427)Time elapsed: 0.005 s
% 0.66/0.47 % (263427)Peak memory usage: 10 MB
% 0.66/0.47 % (263427)Instructions burned: 12 (million)
% 0.66/0.47 % (263429)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.66/0.47 % (263429)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2200272402:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.47 % (263434)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2483258072:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.66/0.47 % (263429)Instruction limit reached!
% 0.66/0.47 % (263429)------------------------------
% 0.66/0.47 % (263429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (263410)Instruction limit reached!
% 0.66/0.47 % (263410)------------------------------
% 0.66/0.47 % (263410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (263429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (263429)CaDiCaL version: 2.1.3
% 0.66/0.47 % (263410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (263429)Termination reason: Instruction limit
% 0.66/0.47 % (263429)Termination phase: shuffling
% 0.66/0.47 % (263429)Time elapsed: 0.003 s
% 0.66/0.47 % (263429)Peak memory usage: 10 MB
% 0.66/0.47 % (263410)CaDiCaL version: 2.1.3
% 0.66/0.47 % (263429)Instructions burned: 3 (million)
% 0.66/0.47 % (263410)Termination reason: Instruction limit
% 0.66/0.47 % (263410)Termination phase: Saturation
% 0.66/0.47 % (263410)Time elapsed: 0.076 s
% 0.66/0.47 % (263410)Peak memory usage: 13 MB
% 0.66/0.47 % (263410)Instructions burned: 157 (million)
% 0.66/0.47 % (263436)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2700817394:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.66/0.47 % (263433)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3856874161:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.66/0.47 % (263434)Refutation not found, incomplete strategy
% 0.66/0.47 % (263434)------------------------------
% 0.66/0.47 % (263434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (263434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (263434)CaDiCaL version: 2.1.3
% 0.66/0.47 % (263434)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.47 % (263434)Time elapsed: 0.012 s
% 0.66/0.47 % (263434)Peak memory usage: 13 MB
% 0.66/0.47 % (263434)Instructions burned: 47 (million)
% 0.66/0.47 % (263434)------------------------------
% 0.66/0.47 % (263434)------------------------------
% 0.66/0.47 % (263435)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1027506069:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.42/0.54 % (263436)Instruction limit reached!
% 1.42/0.54 % (263436)------------------------------
% 1.42/0.54 % (263436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (263436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (263436)CaDiCaL version: 2.1.3
% 1.42/0.54 % (263436)Termination reason: Instruction limit
% 1.42/0.54 % (263436)Termination phase: Property scanning
% 1.42/0.54 % (263436)Time elapsed: 0.007 s
% 1.42/0.54 % (263436)Peak memory usage: 10 MB
% 1.42/0.54 % (263436)Instructions burned: 16 (million)
% 1.42/0.54 % (263439)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3422941629:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.42/0.54 % (263440)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1412420951:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.54 % (263443)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4043813944:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.42/0.54 % (263443)Instruction limit reached!
% 1.42/0.54 % (263443)------------------------------
% 1.42/0.54 % (263443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (263443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (263443)CaDiCaL version: 2.1.3
% 1.42/0.54 % (263443)Termination reason: Instruction limit
% 1.42/0.54 % (263443)Termination phase: shuffling
% 1.42/0.54 % (263443)Time elapsed: 0.001 s
% 1.42/0.54 % (263443)Peak memory usage: 10 MB
% 1.42/0.54 % (263443)Instructions burned: 4 (million)
% 1.42/0.54 % (263433)Instruction limit reached!
% 1.42/0.54 % (263433)------------------------------
% 1.42/0.54 % (263433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (263433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (263433)CaDiCaL version: 2.1.3
% 1.42/0.54 % (263433)Termination reason: Instruction limit
% 1.42/0.54 % (263433)Termination phase: Property scanning
% 1.42/0.54 % (263433)Time elapsed: 0.019 s
% 1.42/0.54 % (263433)Peak memory usage: 11 MB
% 1.42/0.54 % (263433)Instructions burned: 40 (million)
% 1.42/0.54 % (263435)Instruction limit reached!
% 1.42/0.54 % (263435)------------------------------
% 1.42/0.54 % (263435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (263435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (263435)CaDiCaL version: 2.1.3
% 1.42/0.54 % (263435)Termination reason: Instruction limit
% 1.42/0.54 % (263435)Termination phase: SInE selection
% 1.42/0.54 % (263435)Time elapsed: 0.012 s
% 1.42/0.54 % (263435)Peak memory usage: 11 MB
% 1.42/0.54 % (263435)Instructions burned: 27 (million)
% 1.42/0.54 % (263440)Instruction limit reached!
% 1.42/0.54 % (263440)------------------------------
% 1.42/0.54 % (263440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (263440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (263440)CaDiCaL version: 2.1.3
% 1.42/0.54 % (263440)Termination reason: Instruction limit
% 1.42/0.54 % (263440)Termination phase: Property scanning
% 1.42/0.54 % (263440)Time elapsed: 0.007 s
% 1.42/0.54 % (263440)Peak memory usage: 10 MB
% 1.42/0.54 % (263440)Instructions burned: 16 (million)
% 1.42/0.54 % (263445)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=768112918:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.42/0.54 % (263449)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3627904741:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.54 % (263449)Instruction limit reached!
% 1.42/0.54 % (263449)------------------------------
% 1.42/0.54 % (263449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.54 % (263449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.54 % (263449)CaDiCaL version: 2.1.3
% 1.42/0.54 % (263449)Termination reason: Instruction limit
% 1.42/0.54 % (263449)Termination phase: Preprocessing 1
% 1.42/0.54 % (263449)Time elapsed: 0.006 s
% 1.42/0.54 % (263449)Peak memory usage: 10 MB
% 1.42/0.54 % (263449)Instructions burned: 26 (million)
% 1.42/0.54 % (263451)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.27/0.62 % (263451)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.27/0.62 % (263452)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.27/0.62 % (263450)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2392388738:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.27/0.62 % (263451)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=279943967:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.27/0.62 % (263445)Instruction limit reached!
% 2.27/0.62 % (263445)------------------------------
% 2.27/0.62 % (263445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263445)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263445)Termination reason: Instruction limit
% 2.27/0.62 % (263445)Termination phase: shuffling
% 2.27/0.62 % (263445)Time elapsed: 0.012 s
% 2.27/0.62 % (263445)Peak memory usage: 10 MB
% 2.27/0.62 % (263445)Instructions burned: 28 (million)
% 2.27/0.62 % (263452)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3600538626:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.27/0.62 % (263455)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2180539374:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.27/0.62 % (263452)Instruction limit reached!
% 2.27/0.62 % (263452)------------------------------
% 2.27/0.62 % (263452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263452)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263452)Termination reason: Instruction limit
% 2.27/0.62 % (263452)Termination phase: shuffling
% 2.27/0.62 % (263452)Time elapsed: 0.004 s
% 2.27/0.62 % (263452)Peak memory usage: 10 MB
% 2.27/0.62 % (263452)Instructions burned: 8 (million)
% 2.27/0.62 % (263451)Instruction limit reached!
% 2.27/0.62 % (263451)------------------------------
% 2.27/0.62 % (263451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263451)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263451)Termination reason: Instruction limit
% 2.27/0.62 % (263451)Termination phase: shuffling
% 2.27/0.62 % (263451)Time elapsed: 0.007 s
% 2.27/0.62 % (263451)Peak memory usage: 10 MB
% 2.27/0.62 % (263451)Instructions burned: 15 (million)
% 2.27/0.62 % (263455)Instruction limit reached!
% 2.27/0.62 % (263455)------------------------------
% 2.27/0.62 % (263455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263455)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263455)Termination reason: Instruction limit
% 2.27/0.62 % (263455)Termination phase: Property scanning
% 2.27/0.62 % (263455)Time elapsed: 0.007 s
% 2.27/0.62 % (263455)Peak memory usage: 10 MB
% 2.27/0.62 % (263455)Instructions burned: 32 (million)
% 2.27/0.62 % (263458)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1110871786:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.27/0.62 % (263463)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1039103301:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.27/0.62 % (263458)Instruction limit reached!
% 2.27/0.62 % (263458)------------------------------
% 2.27/0.62 % (263458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263458)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263458)Termination reason: Instruction limit
% 2.27/0.62 % (263458)Termination phase: shuffling
% 2.27/0.62 % (263458)Time elapsed: 0.004 s
% 2.27/0.62 % (263458)Peak memory usage: 10 MB
% 2.27/0.62 % (263458)Instructions burned: 9 (million)
% 2.27/0.62 % (263461)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2550109459:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.27/0.62 % (263462)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1818371720:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.27/0.62 % (263450)Instruction limit reached!
% 2.27/0.62 % (263450)------------------------------
% 2.27/0.62 % (263450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263450)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263450)Termination reason: Instruction limit
% 2.27/0.62 % (263450)Termination phase: Property scanning
% 2.27/0.62 % (263450)Time elapsed: 0.027 s
% 2.27/0.62 % (263450)Peak memory usage: 11 MB
% 2.27/0.62 % (263450)Instructions burned: 61 (million)
% 2.27/0.62 % (263462)Instruction limit reached!
% 2.27/0.62 % (263462)------------------------------
% 2.27/0.62 % (263462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263461)Instruction limit reached!
% 2.27/0.62 % (263461)------------------------------
% 2.27/0.62 % (263461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263461)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263462)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263461)Termination reason: Instruction limit
% 2.27/0.62 % (263461)Termination phase: shuffling
% 2.27/0.62 % (263462)Termination reason: Instruction limit
% 2.27/0.62 % (263462)Termination phase: Property scanning
% 2.27/0.62 % (263461)Time elapsed: 0.011 s
% 2.27/0.62 % (263462)Time elapsed: 0.009 s
% 2.27/0.62 % (263461)Peak memory usage: 10 MB
% 2.27/0.62 % (263462)Peak memory usage: 10 MB
% 2.27/0.62 % (263461)Instructions burned: 24 (million)
% 2.27/0.62 % (263462)Instructions burned: 21 (million)
% 2.27/0.62 % (263466)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3080248506:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.27/0.62 % (263469)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1337023156:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.27/0.62 % (263470)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3406329232:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.27/0.62 % (263471)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.27/0.62 % (263471)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1209579954:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.27/0.62 % (263470)Instruction limit reached!
% 2.27/0.62 % (263470)------------------------------
% 2.27/0.62 % (263470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263470)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263470)Termination reason: Instruction limit
% 2.27/0.62 % (263470)Termination phase: Property scanning
% 2.27/0.62 % (263470)Time elapsed: 0.019 s
% 2.27/0.62 % (263470)Peak memory usage: 11 MB
% 2.27/0.62 % (263470)Instructions burned: 42 (million)
% 2.27/0.62 % (263471)Instruction limit reached!
% 2.27/0.62 % (263471)------------------------------
% 2.27/0.62 % (263471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263471)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263471)Termination reason: Instruction limit
% 2.27/0.62 % (263471)Termination phase: shuffling
% 2.27/0.62 % (263471)Time elapsed: 0.004 s
% 2.27/0.62 % (263471)Peak memory usage: 10 MB
% 2.27/0.62 % (263471)Instructions burned: 8 (million)
% 2.27/0.62 % (263477)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3537331197:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.27/0.62 % (263476)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=364070378:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.27/0.62 % (263466)Instruction limit reached!
% 2.27/0.62 % (263466)------------------------------
% 2.27/0.62 % (263466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263466)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263466)Termination reason: Instruction limit
% 2.27/0.62 % (263466)Termination phase: Saturation
% 2.27/0.62 % (263466)Time elapsed: 0.069 s
% 2.27/0.62 % (263466)Peak memory usage: 14 MB
% 2.27/0.62 % (263466)Instructions burned: 143 (million)
% 2.27/0.62 % (263480)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.27/0.62 % (263480)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1844245162:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.27/0.62 % (263480)Instruction limit reached!
% 2.27/0.62 % (263480)------------------------------
% 2.27/0.62 % (263480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263480)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263480)Termination reason: Instruction limit
% 2.27/0.62 % (263480)Termination phase: shuffling
% 2.27/0.62 % (263480)Time elapsed: 0.003 s
% 2.27/0.62 % (263480)Peak memory usage: 10 MB
% 2.27/0.62 % (263480)Instructions burned: 6 (million)
% 2.27/0.62 % (263469)Instruction limit reached!
% 2.27/0.62 % (263469)------------------------------
% 2.27/0.62 % (263469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263469)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263469)Termination reason: Instruction limit
% 2.27/0.62 % (263469)Termination phase: Saturation
% 2.27/0.62 % (263469)Time elapsed: 0.100 s
% 2.27/0.62 % (263469)Peak memory usage: 14 MB
% 2.27/0.62 % (263469)Instructions burned: 193 (million)
% 2.27/0.62 % (263482)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1291753512:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.27/0.62 % (263439)Instruction limit reached!
% 2.27/0.62 % (263439)------------------------------
% 2.27/0.62 % (263439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263439)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263439)Termination reason: Instruction limit
% 2.27/0.62 % (263439)Termination phase: Saturation
% 2.27/0.62 % (263439)Time elapsed: 0.186 s
% 2.27/0.62 % (263439)Peak memory usage: 15 MB
% 2.27/0.62 % (263439)Instructions burned: 327 (million)
% 2.27/0.62 % (263482)Instruction limit reached!
% 2.27/0.62 % (263482)------------------------------
% 2.27/0.62 % (263482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263482)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263482)Termination reason: Instruction limit
% 2.27/0.62 % (263482)Termination phase: Property scanning
% 2.27/0.62 % (263482)Time elapsed: 0.010 s
% 2.27/0.62 % (263482)Peak memory usage: 10 MB
% 2.27/0.62 % (263482)Instructions burned: 22 (million)
% 2.27/0.62 % (263483)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=459988403:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.27/0.62 % (263407) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-263399-263407"...
% 2.27/0.62 % (263407)...printing done.
% 2.27/0.62 % (263483)Instruction limit reached!
% 2.27/0.62 % (263483)------------------------------
% 2.27/0.62 % (263483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263483)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263483)Termination reason: Instruction limit
% 2.27/0.62 % (263483)Termination phase: shuffling
% 2.27/0.62 % (263483)Time elapsed: 0.009 s
% 2.27/0.62 % (263483)Peak memory usage: 10 MB
% 2.27/0.62 % (263483)Instructions burned: 20 (million)
% 2.27/0.62 % (263407)Refutation found. Thanks to Tanya!
% 2.27/0.62 % SZS status Theorem for theBenchmark
% 2.27/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.27/0.62 % (263407)------------------------------
% 2.27/0.62 % (263407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.62 % (263407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.62 % (263407)CaDiCaL version: 2.1.3
% 2.27/0.62 % (263407)Termination reason: Refutation
% 2.27/0.62 % (263407)Time elapsed: 0.295 s
% 2.27/0.62 % (263407)Peak memory usage: 16 MB
% 2.27/0.62 % (263407)Instructions burned: 543 (million)
% 2.27/0.62 % (263399)Success in time 0.352 s
% 2.27/0.62 % Vampire exiting
%------------------------------------------------------------------------------