%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP026^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 08:10:24 AM UTC 2026
% Result : Theorem 19.79s 3.05s
% Output : Refutation 19.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 119 ( 46 unt; 0 typ; 5 def)
% Number of atoms : 391 ( 160 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 554 ( 83 ~; 80 |; 9 &; 353 @)
% ( 5 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 222 ( 219 usr; 22 con; 0-5 aty)
% Number of variables : 86 ( 0 sgn 74 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
carrie377329159t_unit: $tType ).
thf(type_def_6,type,
carrie292259835t_unit: $tType ).
thf(type_def_7,type,
carrie1065537299t_unit: $tType ).
thf(type_def_8,type,
carrie980467975t_unit: $tType ).
thf(type_def_9,type,
carrie1963041556t_unit: $tType ).
thf(type_def_10,type,
carrie1821755406_e_b_f: $tType ).
thf(type_def_11,type,
carrie722926983_a_b_c: $tType ).
thf(type_def_12,type,
carrie1950868226xt_b_d: $tType ).
thf(type_def_13,type,
set_nat_e: $tType ).
thf(type_def_14,type,
set_nat_b: $tType ).
thf(type_def_15,type,
set_nat_a: $tType ).
thf(type_def_16,type,
set_nat: $tType ).
thf(type_def_17,type,
set_e: $tType ).
thf(type_def_18,type,
set_b: $tType ).
thf(type_def_19,type,
set_a: $tType ).
thf(type_def_20,type,
nat: $tType ).
thf(type_def_21,type,
e: $tType ).
thf(type_def_22,type,
b: $tType ).
thf(type_def_23,type,
a: $tType ).
thf(type_def_24,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
carrie1074654371t_unit: carrie1963041556t_unit > set_a ).
thf(func_def_1,type,
carrie2021454486_a_b_c: carrie722926983_a_b_c > set_a ).
thf(func_def_2,type,
carrie2079586589xt_b_d: carrie1950868226xt_b_d > set_b ).
thf(func_def_3,type,
carrie730238621_e_b_f: carrie1821755406_e_b_f > set_e ).
thf(func_def_4,type,
ring_b_d: carrie1950868226xt_b_d > $o ).
thf(func_def_5,type,
zero_a1261444626_a_b_c: carrie722926983_a_b_c > a ).
thf(func_def_6,type,
ideal_b_d: carrie1950868226xt_b_d > set_b > $o ).
thf(func_def_7,type,
annihi259882159t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > set_b ).
thf(func_def_8,type,
annihilator_b_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_b ).
thf(func_def_9,type,
annihilator_b_d_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > set_b ).
thf(func_def_10,type,
hOM_b_1103679019t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > carrie1963041556t_unit > carrie980467975t_unit ).
thf(func_def_11,type,
hOM_b_796081438it_a_c: carrie1950868226xt_b_d > carrie1963041556t_unit > carrie722926983_a_b_c > carrie980467975t_unit ).
thf(func_def_12,type,
hOM_b_1959675421it_e_f: carrie1950868226xt_b_d > carrie1963041556t_unit > carrie1821755406_e_b_f > carrie1065537299t_unit ).
thf(func_def_13,type,
hOM_b_717364638t_unit: carrie1950868226xt_b_d > carrie722926983_a_b_c > carrie1963041556t_unit > carrie980467975t_unit ).
thf(func_def_14,type,
hOM_b_d_a_c_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > carrie722926983_a_b_c > carrie980467975t_unit ).
thf(func_def_15,type,
hOM_b_d_a_c_e_f: carrie1950868226xt_b_d > carrie722926983_a_b_c > carrie1821755406_e_b_f > carrie1065537299t_unit ).
thf(func_def_16,type,
hOM_b_1375846429t_unit: carrie1950868226xt_b_d > carrie1821755406_e_b_f > carrie1963041556t_unit > carrie292259835t_unit ).
thf(func_def_17,type,
hOM_b_d_e_f_a_c: carrie1950868226xt_b_d > carrie1821755406_e_b_f > carrie722926983_a_b_c > carrie292259835t_unit ).
thf(func_def_18,type,
hOM_b_d_e_f_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > carrie1821755406_e_b_f > carrie377329159t_unit ).
thf(func_def_19,type,
module589927589unit_d: carrie980467975t_unit > carrie1950868226xt_b_d > $o ).
thf(func_def_20,type,
module1648870817unit_d: carrie1065537299t_unit > carrie1950868226xt_b_d > $o ).
thf(func_def_21,type,
module1330273449unit_d: carrie292259835t_unit > carrie1950868226xt_b_d > $o ).
thf(func_def_22,type,
module241733029unit_d: carrie377329159t_unit > carrie1950868226xt_b_d > $o ).
thf(func_def_23,type,
module1821517916unit_d: carrie1963041556t_unit > carrie1950868226xt_b_d > $o ).
thf(func_def_24,type,
module_a_b_c_d: carrie722926983_a_b_c > carrie1950868226xt_b_d > $o ).
thf(func_def_25,type,
module_e_b_f_d: carrie1821755406_e_b_f > carrie1950868226xt_b_d > $o ).
thf(func_def_26,type,
free_g637607517t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > set_a > $o ).
thf(func_def_27,type,
free_g1087686480_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_a > $o ).
thf(func_def_28,type,
free_g103796815_d_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > set_e > $o ).
thf(func_def_29,type,
genera1692266857t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > set_a > $o ).
thf(func_def_30,type,
generator_b_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_a > $o ).
thf(func_def_31,type,
generator_b_d_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > set_e > $o ).
thf(func_def_32,type,
l_comb1138968323t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > nat > ( nat > b ) > ( nat > a ) > a ).
thf(func_def_33,type,
l_comb_b_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > nat > ( nat > b ) > ( nat > a ) > a ).
thf(func_def_34,type,
l_comb_b_d_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > nat > ( nat > b ) > ( nat > e ) > e ).
thf(func_def_35,type,
linear_span_b_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_b > set_a > set_a ).
thf(func_def_36,type,
mdl_a_b_c: carrie722926983_a_b_c > set_a > carrie1963041556t_unit ).
thf(func_def_37,type,
misomo493403663t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > carrie1963041556t_unit > $o ).
thf(func_def_38,type,
misomo1935876354it_a_c: carrie1950868226xt_b_d > carrie1963041556t_unit > carrie722926983_a_b_c > $o ).
thf(func_def_39,type,
misomo951986689it_e_f: carrie1950868226xt_b_d > carrie1963041556t_unit > carrie1821755406_e_b_f > $o ).
thf(func_def_40,type,
misomo1857159554t_unit: carrie1950868226xt_b_d > carrie722926983_a_b_c > carrie1963041556t_unit > $o ).
thf(func_def_41,type,
misomo1282343797_c_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > carrie722926983_a_b_c > $o ).
thf(func_def_42,type,
misomo298454132_c_e_f: carrie1950868226xt_b_d > carrie722926983_a_b_c > carrie1821755406_e_b_f > $o ).
thf(func_def_43,type,
misomo368157697t_unit: carrie1950868226xt_b_d > carrie1821755406_e_b_f > carrie1963041556t_unit > $o ).
thf(func_def_44,type,
misomo1752826100_f_a_c: carrie1950868226xt_b_d > carrie1821755406_e_b_f > carrie722926983_a_b_c > $o ).
thf(func_def_45,type,
misomo768936435_f_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > carrie1821755406_e_b_f > $o ).
thf(func_def_46,type,
quotie1196826005t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > set_a > set_a > set_b ).
thf(func_def_47,type,
quotie1153752712_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_a > set_a > set_b ).
thf(func_def_48,type,
quotie169863047_d_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > set_e > set_e > set_b ).
thf(func_def_49,type,
smodul132175289t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > set_b > set_a ).
thf(func_def_50,type,
smodul818989740_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_b > set_a ).
thf(func_def_51,type,
smodul1982583723_d_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > set_b > set_e ).
thf(func_def_52,type,
submod903911234t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > set_a > $o ).
thf(func_def_53,type,
submodule_b_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_a > $o ).
thf(func_def_54,type,
submodule_b_d_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > set_e > $o ).
thf(func_def_55,type,
algebr1039611956t_unit: carrie1950868226xt_b_d > carrie1963041556t_unit > set_a > set_a ).
thf(func_def_56,type,
algebr1152250919_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_a > set_a ).
thf(func_def_57,type,
algebr168361254_d_e_f: carrie1950868226xt_b_d > carrie1821755406_e_b_f > set_e > set_e ).
thf(func_def_58,type,
pi_nat_a: set_nat > ( nat > set_a ) > set_nat_a ).
thf(func_def_59,type,
pi_nat_b: set_nat > ( nat > set_b ) > set_nat_b ).
thf(func_def_60,type,
pi_nat_e: set_nat > ( nat > set_e ) > set_nat_e ).
thf(func_def_61,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_62,type,
minus_1788767276_nat_a: set_nat_a > set_nat_a > set_nat_a ).
thf(func_def_63,type,
minus_780847917_nat_b: set_nat_b > set_nat_b > set_nat_b ).
thf(func_def_64,type,
minus_minus_set_a: set_a > set_a > set_a ).
thf(func_def_65,type,
zero_zero_nat: nat ).
thf(func_def_66,type,
suc: nat > nat ).
thf(func_def_67,type,
bot_bot_set_nat_a: set_nat_a ).
thf(func_def_68,type,
bot_bot_set_nat_b: set_nat_b ).
thf(func_def_69,type,
bot_bot_set_nat: set_nat ).
thf(func_def_70,type,
bot_bot_set_a: set_a ).
thf(func_def_71,type,
bot_bot_set_e: set_e ).
thf(func_def_72,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_73,type,
ord_less_set_a: set_a > set_a > $o ).
thf(func_def_74,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_75,type,
ord_le157368549_nat_a: set_nat_a > set_nat_a > $o ).
thf(func_def_76,type,
ord_le1296932838_nat_b: set_nat_b > set_nat_b > $o ).
thf(func_def_77,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_78,type,
ord_less_eq_set_e: set_e > set_e > $o ).
thf(func_def_79,type,
collect_nat_a: ( ( nat > a ) > $o ) > set_nat_a ).
thf(func_def_80,type,
collect_nat_b: ( ( nat > b ) > $o ) > set_nat_b ).
thf(func_def_81,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_82,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_83,type,
insert_nat_a: ( nat > a ) > set_nat_a > set_nat_a ).
thf(func_def_84,type,
insert_nat_b: ( nat > b ) > set_nat_b > set_nat_b ).
thf(func_def_85,type,
insert_a: a > set_a > set_a ).
thf(func_def_86,type,
member_nat_a: ( nat > a ) > set_nat_a > $o ).
thf(func_def_87,type,
member_nat_b: ( nat > b ) > set_nat_b > $o ).
thf(func_def_88,type,
member_nat_e: ( nat > e ) > set_nat_e > $o ).
thf(func_def_89,type,
member_nat: nat > set_nat > $o ).
thf(func_def_90,type,
member_a: a > set_a > $o ).
thf(func_def_91,type,
member_e: e > set_e > $o ).
thf(func_def_92,type,
h: set_a ).
thf(func_def_93,type,
h1: set_a ).
thf(func_def_94,type,
m: carrie722926983_a_b_c ).
thf(func_def_95,type,
n: carrie1821755406_e_b_f ).
thf(func_def_96,type,
r: carrie1950868226xt_b_d ).
thf(func_def_97,type,
g: nat > a ).
thf(func_def_98,type,
h2: a ).
thf(func_def_99,type,
m2: nat ).
thf(func_def_100,type,
t: nat > b ).
thf(func_def_101,type,
x: a ).
thf(func_def_102,type,
xa: nat ).
thf(func_def_106,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_107,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_108,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_109,type,
vNOT: $o > $o ).
thf(func_def_110,type,
vOR: $o > $o > $o ).
thf(func_def_111,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_112,type,
vAND: $o > $o > $o ).
thf(func_def_113,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_114,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_115,type,
vIMP: $o > $o > $o ).
thf(func_def_116,type,
sK0: ( nat > a ) > ( nat > a ) > nat > nat ).
thf(func_def_117,type,
sK1: ( nat > a ) > ( nat > a ) > nat > nat ).
thf(func_def_118,type,
sK2: a > set_a > nat ).
thf(func_def_119,type,
sK3: a > set_a > nat > a ).
thf(func_def_120,type,
sK4: a > set_a > nat > b ).
thf(func_def_121,type,
sK5: a > set_b > nat ).
thf(func_def_122,type,
sK6: a > set_b > nat > b ).
thf(func_def_123,type,
sK7: a > set_b > nat > a ).
thf(func_def_124,type,
sK8: e > set_e > carrie1950868226xt_b_d > carrie1821755406_e_b_f > nat ).
thf(func_def_125,type,
sK9: e > set_e > carrie1950868226xt_b_d > carrie1821755406_e_b_f > nat > e ).
thf(func_def_126,type,
sK10: e > set_e > carrie1950868226xt_b_d > carrie1821755406_e_b_f > nat > b ).
thf(func_def_127,type,
sK11: a > set_a > carrie1950868226xt_b_d > carrie1963041556t_unit > nat ).
thf(func_def_128,type,
sK12: a > set_a > carrie1950868226xt_b_d > carrie1963041556t_unit > nat > a ).
thf(func_def_129,type,
sK13: a > set_a > carrie1950868226xt_b_d > carrie1963041556t_unit > nat > b ).
thf(func_def_130,type,
sK14: a > set_a > carrie1950868226xt_b_d > carrie722926983_a_b_c > nat ).
thf(func_def_131,type,
sK15: a > set_a > carrie1950868226xt_b_d > carrie722926983_a_b_c > nat > a ).
thf(func_def_132,type,
sK16: a > set_a > carrie1950868226xt_b_d > carrie722926983_a_b_c > nat > b ).
thf(func_def_133,type,
sK17: ( nat > e ) > ( nat > e ) > nat > nat ).
thf(func_def_134,type,
sK18: ( nat > a ) > ( nat > a ) > nat > nat ).
thf(func_def_135,type,
sK19: ( nat > a ) > ( nat > a ) > nat > nat ).
thf(func_def_136,type,
sK20: ( nat > e ) > ( nat > e ) > nat > nat ).
thf(func_def_137,type,
sK21: ( nat > a ) > ( nat > a ) > nat > nat ).
thf(func_def_138,type,
sK22: ( nat > a ) > ( nat > a ) > nat > nat ).
thf(func_def_139,type,
sK23: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_140,type,
sK24: ( nat > $o ) > nat ).
thf(func_def_141,type,
sK25: nat > ( nat > $o ) > nat ).
thf(func_def_142,type,
sK26: ( nat > $o ) > nat ).
thf(func_def_143,type,
sK27: ( nat > $o ) > nat ).
thf(func_def_144,type,
sK28: ( nat > nat > $o ) > nat ).
thf(func_def_145,type,
sK29: ( nat > nat > $o ) > nat ).
thf(func_def_146,type,
sK30: ( nat > nat > $o ) > nat ).
thf(func_def_147,type,
sK31: ( nat > nat > $o ) > nat ).
thf(func_def_148,type,
sK32: ( nat > nat > $o ) > nat ).
thf(func_def_149,type,
sK33: ( nat > $o ) > nat > nat ).
thf(func_def_150,type,
sK34: ( nat > $o ) > nat ).
thf(func_def_151,type,
sK35: nat > nat ).
thf(func_def_152,type,
sK36: nat > nat ).
thf(func_def_153,type,
sK37: ( nat > $o ) > nat ).
thf(func_def_154,type,
sK38: nat > nat ).
thf(func_def_155,type,
sK39: ( nat > $o ) > nat ).
thf(func_def_156,type,
sK40: ( nat > nat > $o ) > nat ).
thf(func_def_157,type,
sK41: ( nat > nat > $o ) > nat ).
thf(func_def_158,type,
sK42: ( nat > nat > $o ) > nat ).
thf(func_def_159,type,
sK43: ( nat > nat > $o ) > nat ).
thf(func_def_160,type,
sK44: ( nat > $o ) > nat ).
thf(func_def_161,type,
sK45: ( nat > nat ) > nat ).
thf(func_def_162,type,
sK46: ( nat > nat ) > nat ).
thf(func_def_163,type,
sK47: ( nat > $o ) > nat > nat ).
thf(func_def_164,type,
sK48: ( nat > $o ) > nat > nat ).
thf(func_def_165,type,
sK49: ( nat > nat > $o ) > nat ).
thf(func_def_166,type,
sK50: ( nat > nat > $o ) > nat ).
thf(func_def_167,type,
sK51: ( nat > nat > $o ) > nat ).
thf(func_def_168,type,
sK52: ( nat > nat > $o ) > nat ).
thf(func_def_169,type,
sK53: nat > nat > nat ).
thf(func_def_170,type,
sK54: nat > nat > nat ).
thf(func_def_171,type,
sK55: ( nat > $o ) > nat ).
thf(func_def_172,type,
sK56: ( nat > $o ) > nat ).
thf(func_def_173,type,
sK57: e > set_b > carrie1950868226xt_b_d > carrie1821755406_e_b_f > nat ).
thf(func_def_174,type,
sK58: e > set_b > carrie1950868226xt_b_d > carrie1821755406_e_b_f > nat > b ).
thf(func_def_175,type,
sK59: e > set_b > carrie1950868226xt_b_d > carrie1821755406_e_b_f > nat > e ).
thf(func_def_176,type,
sK60: a > set_b > carrie1950868226xt_b_d > carrie1963041556t_unit > nat ).
thf(func_def_177,type,
sK61: a > set_b > carrie1950868226xt_b_d > carrie1963041556t_unit > nat > b ).
thf(func_def_178,type,
sK62: a > set_b > carrie1950868226xt_b_d > carrie1963041556t_unit > nat > a ).
thf(func_def_179,type,
sK63: a > set_b > carrie1950868226xt_b_d > carrie722926983_a_b_c > nat ).
thf(func_def_180,type,
sK64: a > set_b > carrie1950868226xt_b_d > carrie722926983_a_b_c > nat > b ).
thf(func_def_181,type,
sK65: a > set_b > carrie1950868226xt_b_d > carrie722926983_a_b_c > nat > a ).
thf(func_def_182,type,
sK66: ( nat > nat ) > nat ).
thf(func_def_183,type,
sK67: ( nat > set_a ) > nat ).
thf(func_def_184,type,
sK68: ( nat > nat ) > nat ).
thf(func_def_185,type,
sK69: ( nat > set_a ) > nat ).
thf(func_def_186,type,
sK70: ( nat > nat ) > nat ).
thf(func_def_187,type,
sK71: ( nat > nat ) > nat ).
thf(func_def_188,type,
sK72: ( nat > $o ) > nat > nat > nat ).
thf(func_def_189,type,
sK73: ( nat > $o ) > nat > nat > nat ).
thf(func_def_190,type,
sK74: nat > ( nat > $o ) > nat ).
thf(func_def_191,type,
sK75: nat > nat ).
thf(func_def_192,type,
sK76: nat > ( nat > $o ) > nat ).
thf(func_def_193,type,
sK77: set_nat_a > set_nat_a > nat > a ).
thf(func_def_194,type,
sK78: set_nat_b > set_nat_b > nat > b ).
thf(func_def_195,type,
sK79: set_a > set_a > a ).
thf(func_def_196,type,
sK80: ( a > $o ) > a ).
thf(func_def_197,type,
sK81: ( nat > $o ) > nat ).
thf(func_def_198,type,
sK82: ( a > $o ) > a ).
thf(func_def_199,type,
sK83: ( nat > $o ) > nat ).
thf(func_def_200,type,
sK84: set_a > a ).
thf(func_def_201,type,
sK85: set_nat_b > nat > b ).
thf(func_def_202,type,
sK86: set_nat_a > nat > a ).
thf(func_def_203,type,
sK87: ( nat > $o ) > nat > nat ).
thf(func_def_204,type,
sK88: ( nat > $o ) > nat > nat ).
thf(func_def_205,type,
sK89: nat > nat ).
thf(func_def_206,type,
sK90: ( nat > $o ) > nat > nat ).
thf(func_def_207,type,
sK91: ( nat > $o ) > nat > nat ).
thf(func_def_208,type,
sK92: nat > nat > nat ).
thf(func_def_209,type,
sK93: ( nat > $o ) > nat > nat ).
thf(func_def_210,type,
sK94: ( nat > $o ) > nat > nat ).
thf(func_def_211,type,
sK95: ( nat > $o ) > nat > nat ).
thf(func_def_212,type,
sK96: ( nat > $o ) > nat > nat ).
thf(func_def_213,type,
sK97: nat > nat > nat ).
thf(func_def_214,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_216,type,
db3:
!>[X0: $tType] : X0 ).
thf(f39,axiom,
! [X0: nat] :
( ( ord_less_nat @ zero_zero_nat @ X0 )
=> ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_Suc__pred) ).
thf(f63,axiom,
! [X0: nat] : ( ord_less_eq_nat @ zero_zero_nat @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_bot__nat__0_Oextremum) ).
thf(f137,axiom,
! [X0: nat,X1: nat] :
( ( ord_less_eq_nat @ X0 @ X1 )
=> ( ( ord_less_eq_nat @ X1 @ X0 )
=> ( X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_le__antisym) ).
thf(f139,axiom,
! [X0: nat] :
( X0
!= ( suc @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_n__not__Suc__n) ).
thf(f163,axiom,
! [X0: nat,X1: nat] :
( ( ord_less_eq_nat @ X0 @ X1 )
=> ( ord_less_eq_nat @ X0 @ ( suc @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_le__SucI) ).
thf(f185,axiom,
! [X0: nat,X1: nat] :
( ( ( X0 = X1 )
| ( ord_less_nat @ X0 @ X1 ) )
=> ( ord_less_eq_nat @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_less__or__eq__imp__le) ).
thf(f188,axiom,
( ord_less_nat
= ( ^ [X0: nat,X1: nat] :
( ( X0 != X1 )
& ( ord_less_eq_nat @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_nat__less__le) ).
thf(f215,axiom,
! [X0: nat,X1: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ X0 @ X1 ) @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_diff__le__self) ).
thf(f351,axiom,
! [X0: nat] :
( ( ord_less_eq_nat @ X0 @ m2 )
=> ! [X1: nat] :
( ( ord_less_eq_nat @ X1 @ m2 )
=> ( ( ( g @ X0 )
= ( g @ X1 ) )
=> ( X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f353,axiom,
( ( g @ m2 )
= h2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
thf(f366,axiom,
ord_less_nat @ zero_zero_nat @ m2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_16) ).
thf(f369,axiom,
ord_less_eq_nat @ xa @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_19) ).
thf(f370,axiom,
( ( member_a @ ( g @ xa ) @ h1 )
| ( ( g @ xa )
= h2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_20) ).
thf(f371,conjecture,
member_a @ ( g @ xa ) @ h1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_21) ).
thf(f372,negated_conjecture,
~ ( member_a @ ( g @ xa ) @ h1 ),
inference(negated_conjecture,[status(cth)],[f371]) ).
thf(f449,plain,
! [X0: nat] :
( ( ord_less_nat @ zero_zero_nat @ X0 )
=> ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 ) ),
inference(rectify,[],[f39]) ).
thf(f450,plain,
! [X0: nat] :
( ( ( ord_less_nat @ zero_zero_nat @ X0 )
= $true )
=> ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 ) ),
inference(fool_elimination,[],[f449]) ).
thf(f490,plain,
! [X0: nat] : ( ord_less_eq_nat @ zero_zero_nat @ X0 ),
inference(rectify,[],[f63]) ).
thf(f491,plain,
! [X0: nat] :
( ( ord_less_eq_nat @ zero_zero_nat @ X0 )
= $true ),
inference(fool_elimination,[],[f490]) ).
thf(f615,plain,
! [X0: nat,X1: nat] :
( ( ord_less_eq_nat @ X0 @ X1 )
=> ( ( ord_less_eq_nat @ X1 @ X0 )
=> ( X0 = X1 ) ) ),
inference(rectify,[],[f137]) ).
thf(f616,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ X1 )
= $true )
=> ( ( ( ord_less_eq_nat @ X1 @ X0 )
= $true )
=> ( X0 = X1 ) ) ),
inference(fool_elimination,[],[f615]) ).
thf(f661,plain,
! [X0: nat,X1: nat] :
( ( ord_less_eq_nat @ X0 @ X1 )
=> ( ord_less_eq_nat @ X0 @ ( suc @ X1 ) ) ),
inference(rectify,[],[f163]) ).
thf(f662,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ X1 )
= $true )
=> ( ( ord_less_eq_nat @ X0 @ ( suc @ X1 ) )
= $true ) ),
inference(fool_elimination,[],[f661]) ).
thf(f685,plain,
! [X0: nat,X1: nat] :
( ( ( X0 = X1 )
| ( ord_less_nat @ X0 @ X1 ) )
=> ( ord_less_eq_nat @ X0 @ X1 ) ),
inference(rectify,[],[f185]) ).
thf(f686,plain,
! [X0: nat,X1: nat] :
( ( ( X0 = X1 )
| ( ( ord_less_nat @ X0 @ X1 )
= $true ) )
=> ( ( ord_less_eq_nat @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f685]) ).
thf(f691,plain,
( ord_less_nat
= ( ^ [X0: nat,X1: nat] :
( ( X0 != X1 )
& ( ord_less_eq_nat @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f188]) ).
thf(f692,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
& ( Y0 != Y1 ) ) ) ),
inference(fool_elimination,[],[f691]) ).
thf(f745,plain,
! [X0: nat,X1: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ X0 @ X1 ) @ X0 ),
inference(rectify,[],[f215]) ).
thf(f746,plain,
! [X0: nat,X1: nat] :
( ( ord_less_eq_nat @ ( minus_minus_nat @ X0 @ X1 ) @ X0 )
= $true ),
inference(fool_elimination,[],[f745]) ).
thf(f986,plain,
! [X0: nat] :
( ( ord_less_eq_nat @ X0 @ m2 )
=> ! [X1: nat] :
( ( ord_less_eq_nat @ X1 @ m2 )
=> ( ( ( g @ X0 )
= ( g @ X1 ) )
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f351]) ).
thf(f987,plain,
! [X0: nat] :
( ( ( ord_less_eq_nat @ X0 @ m2 )
= $true )
=> ! [X1: nat] :
( ( ( ord_less_eq_nat @ X1 @ m2 )
= $true )
=> ( ( ( g @ X0 )
= ( g @ X1 ) )
=> ( X0 = X1 ) ) ) ),
inference(fool_elimination,[],[f986]) ).
thf(f1010,plain,
ord_less_nat @ zero_zero_nat @ m2,
inference(rectify,[],[f366]) ).
thf(f1011,plain,
( ( ord_less_nat @ zero_zero_nat @ m2 )
= $true ),
inference(fool_elimination,[],[f1010]) ).
thf(f1016,plain,
ord_less_eq_nat @ xa @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ),
inference(rectify,[],[f369]) ).
thf(f1017,plain,
( ( ord_less_eq_nat @ xa @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) )
= $true ),
inference(fool_elimination,[],[f1016]) ).
thf(f1018,plain,
( ( member_a @ ( g @ xa ) @ h1 )
| ( ( g @ xa )
= h2 ) ),
inference(rectify,[],[f370]) ).
thf(f1019,plain,
( ( ( member_a @ ( g @ xa ) @ h1 )
= $true )
| ( h2
= ( g @ xa ) ) ),
inference(fool_elimination,[],[f1018]) ).
thf(f1020,plain,
~ ( member_a @ ( g @ xa ) @ h1 ),
inference(rectify,[],[f372]) ).
thf(f1021,plain,
( ( member_a @ ( g @ xa ) @ h1 )
!= $true ),
inference(fool_elimination,[],[f1020]) ).
thf(f1052,plain,
( ( member_a @ ( g @ xa ) @ h1 )
!= $true ),
inference(flattening,[],[f1021]) ).
thf(f1111,plain,
! [X0: nat] :
( ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 )
| ( ( ord_less_nat @ zero_zero_nat @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f450]) ).
thf(f1242,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ( ( ord_less_eq_nat @ X1 @ X0 )
!= $true )
| ( ( ord_less_eq_nat @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f616]) ).
thf(f1243,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ( ( ord_less_eq_nat @ X1 @ X0 )
!= $true )
| ( ( ord_less_eq_nat @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f1242]) ).
thf(f1271,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ ( suc @ X1 ) )
= $true )
| ( ( ord_less_eq_nat @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f662]) ).
thf(f1291,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ X1 )
= $true )
| ( ( X0 != X1 )
& ( ( ord_less_nat @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f686]) ).
thf(f1457,plain,
! [X0: nat] :
( ! [X1: nat] :
( ( X0 = X1 )
| ( ( g @ X0 )
!= ( g @ X1 ) )
| ( ( ord_less_eq_nat @ X1 @ m2 )
!= $true ) )
| ( ( ord_less_eq_nat @ X0 @ m2 )
!= $true ) ),
inference(ennf_transformation,[],[f987]) ).
thf(f1458,plain,
! [X0: nat] :
( ! [X1: nat] :
( ( X0 = X1 )
| ( ( g @ X0 )
!= ( g @ X1 ) )
| ( ( ord_less_eq_nat @ X1 @ m2 )
!= $true ) )
| ( ( ord_less_eq_nat @ X0 @ m2 )
!= $true ) ),
inference(flattening,[],[f1457]) ).
thf(f1565,plain,
! [X0: nat] :
( ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 )
| ( ( ord_less_nat @ zero_zero_nat @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f1111]) ).
thf(f1595,plain,
! [X0: nat] :
( ( ord_less_eq_nat @ zero_zero_nat @ X0 )
= $true ),
inference(cnf_transformation,[],[f491]) ).
thf(f1672,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X1 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( ord_less_eq_nat @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f1243]) ).
thf(f1674,plain,
! [X0: nat] :
( ( suc @ X0 )
!= X0 ),
inference(cnf_transformation,[],[f139]) ).
thf(f1705,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ X1 )
!= $true )
| ( ( ord_less_eq_nat @ X0 @ ( suc @ X1 ) )
= $true ) ),
inference(cnf_transformation,[],[f1271]) ).
thf(f1733,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ X1 )
= $true )
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f1291]) ).
thf(f1736,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
& ( Y0 != Y1 ) ) ) ),
inference(cnf_transformation,[],[f692]) ).
thf(f1776,plain,
! [X0: nat,X1: nat] :
( ( ord_less_eq_nat @ ( minus_minus_nat @ X0 @ X1 ) @ X0 )
= $true ),
inference(cnf_transformation,[],[f746]) ).
thf(f1935,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X1 @ m2 )
!= $true )
| ( ( g @ X0 )
!= ( g @ X1 ) )
| ( X0 = X1 )
| ( ( ord_less_eq_nat @ X0 @ m2 )
!= $true ) ),
inference(cnf_transformation,[],[f1458]) ).
thf(f1937,plain,
( h2
= ( g @ m2 ) ),
inference(cnf_transformation,[],[f353]) ).
thf(f1949,plain,
( ( ord_less_nat @ zero_zero_nat @ m2 )
= $true ),
inference(cnf_transformation,[],[f1011]) ).
thf(f1952,plain,
( ( ord_less_eq_nat @ xa @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) )
= $true ),
inference(cnf_transformation,[],[f1017]) ).
thf(f1953,plain,
( ( ( member_a @ ( g @ xa ) @ h1 )
= $true )
| ( h2
= ( g @ xa ) ) ),
inference(cnf_transformation,[],[f1019]) ).
thf(f1954,plain,
( ( member_a @ ( g @ xa ) @ h1 )
!= $true ),
inference(cnf_transformation,[],[f1052]) ).
thf(f1958,plain,
! [X0: nat] :
( ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 )
| ( $true
!= ( ^ [Y0: nat,Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
& ( Y0 != Y1 ) )
@ zero_zero_nat
@ X0 ) ) ),
inference(definition_unfolding,[],[f1565,f1736]) ).
thf(f2043,plain,
( $true
= ( ^ [Y0: nat,Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
& ( Y0 != Y1 ) )
@ zero_zero_nat
@ m2 ) ),
inference(definition_unfolding,[],[f1949,f1736]) ).
thf(f2047,plain,
! [X1: nat] :
( $true
= ( ord_less_eq_nat @ X1 @ X1 ) ),
inference(equality_resolution,[],[f1733]) ).
thf(f2052,plain,
( $true
= ( ( ord_less_eq_nat @ zero_zero_nat @ m2 )
& ( zero_zero_nat != m2 ) ) ),
inference(beta-eta_normalization,[],[f2043]) ).
thf(f2053,plain,
( $true
= ( zero_zero_nat != m2 ) ),
inference(and_proxy_clausification,[],[f2052]) ).
thf(f2055,plain,
( $false
= ( zero_zero_nat = m2 ) ),
inference(not_proxy_clausification,[],[f2053]) ).
thf(f2056,plain,
zero_zero_nat != m2,
inference(equality_proxy_clausification,[],[f2055]) ).
thf(f3271,plain,
! [X0: nat] :
( ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 )
| ( $true
!= ( ( ord_less_eq_nat @ zero_zero_nat @ X0 )
& ( zero_zero_nat != X0 ) ) ) ),
inference(beta-eta_normalization,[],[f1958]) ).
thf(f3272,plain,
! [X0: nat] :
( ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 )
| ( ( zero_zero_nat != X0 )
= $false )
| ( ( ord_less_eq_nat @ zero_zero_nat @ X0 )
= $false ) ),
inference(and_proxy_clausification,[],[f3271]) ).
thf(f3273,plain,
! [X0: nat] :
( ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 )
| ( $true
= ( zero_zero_nat = X0 ) )
| ( ( ord_less_eq_nat @ zero_zero_nat @ X0 )
= $false ) ),
inference(not_proxy_clausification,[],[f3272]) ).
thf(f3274,plain,
! [X0: nat] :
( ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 )
| ( zero_zero_nat = X0 )
| ( ( ord_less_eq_nat @ zero_zero_nat @ X0 )
= $false ) ),
inference(equality_proxy_clausification,[],[f3273]) ).
thf(f3277,definition,
( spl98_1
<=> ( h2
= ( g @ xa ) ) ),
introduced(definition,[new_symbols(definition,[spl98_1])],[avatar_definition]) ).
thf(f3279,plain,
( ( h2
= ( g @ xa ) )
| ~ spl98_1 ),
inference(avatar_component_clause,[],[f3277]) ).
thf(f3281,definition,
( spl98_2
<=> ( ( member_a @ ( g @ xa ) @ h1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl98_2])],[avatar_definition]) ).
thf(f3284,plain,
( spl98_1
| spl98_2 ),
inference(avatar_split_clause,[],[f1953,f3281,f3277]) ).
thf(f3285,plain,
~ spl98_2,
inference(avatar_split_clause,[],[f1954,f3281]) ).
thf(f4537,plain,
( ( $true != $true )
| ( xa
= ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) )
| ( $true
!= ( ord_less_eq_nat @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) @ xa ) ) ),
inference(constrained_superposition,[],[f1672,f1952]) ).
thf(f4538,plain,
( ( xa
= ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) )
| ( $true
!= ( ord_less_eq_nat @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) @ xa ) ) ),
inference(trivial_inequality_removal,[],[f4537]) ).
thf(f4545,definition,
( spl98_7
<=> ( $true
= ( ord_less_eq_nat @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) @ xa ) ) ),
introduced(definition,[new_symbols(definition,[spl98_7])],[avatar_definition]) ).
thf(f4547,plain,
( ( $true
!= ( ord_less_eq_nat @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) @ xa ) )
| spl98_7 ),
inference(avatar_component_clause,[],[f4545]) ).
thf(f4549,definition,
( spl98_8
<=> ( xa
= ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) ) ),
introduced(definition,[new_symbols(definition,[spl98_8])],[avatar_definition]) ).
thf(f4551,plain,
( ( xa
= ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) )
| ~ spl98_8 ),
inference(avatar_component_clause,[],[f4549]) ).
thf(f4552,plain,
( ~ spl98_7
| spl98_8 ),
inference(avatar_split_clause,[],[f4538,f4549,f4545]) ).
thf(f4629,plain,
( ( $true != $true )
| ( $true
= ( ord_less_eq_nat @ xa @ ( suc @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) ) ) ) ),
inference(constrained_superposition,[],[f1705,f1952]) ).
thf(f4630,plain,
( $true
= ( ord_less_eq_nat @ xa @ ( suc @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) ) ) ),
inference(trivial_inequality_removal,[],[f4629]) ).
thf(f5732,plain,
! [X0: nat] :
( ( $true = $false )
| ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 )
| ( zero_zero_nat = X0 ) ),
inference(forward_demodulation,[],[f3274,f1595]) ).
thf(f5733,plain,
! [X0: nat] :
( ( ( suc @ ( minus_minus_nat @ X0 @ ( suc @ zero_zero_nat ) ) )
= X0 )
| ( zero_zero_nat = X0 ) ),
inference(trivial_inequality_removal,[],[f5732]) ).
thf(f6020,plain,
! [X0: nat] :
( ( $true != $true )
| ( ( g @ X0 )
!= ( g @ m2 ) )
| ( m2 = X0 )
| ( ( ord_less_eq_nat @ X0 @ m2 )
!= $true ) ),
inference(constrained_superposition,[],[f1935,f2047]) ).
thf(f6029,plain,
! [X0: nat] :
( ( ( g @ X0 )
!= ( g @ m2 ) )
| ( m2 = X0 )
| ( ( ord_less_eq_nat @ X0 @ m2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f6020]) ).
thf(f6032,plain,
! [X0: nat] :
( ( ( ord_less_eq_nat @ X0 @ m2 )
!= $true )
| ( m2 = X0 )
| ( h2
!= ( g @ X0 ) ) ),
inference(forward_demodulation,[],[f6029,f1937]) ).
thf(f32292,plain,
( ( m2
= ( suc @ xa ) )
| ( zero_zero_nat = m2 )
| ~ spl98_8 ),
inference(constrained_superposition,[],[f5733,f4551]) ).
thf(f32301,plain,
( ( m2
= ( suc @ xa ) )
| ~ spl98_8 ),
inference(forward_subsumption_resolution,[],[f32292,f2056]) ).
thf(f35525,plain,
( ( $true
= ( ord_less_eq_nat @ xa @ m2 ) )
| ( zero_zero_nat = m2 ) ),
inference(constrained_superposition,[],[f4630,f5733]) ).
thf(f35723,plain,
( $true
= ( ord_less_eq_nat @ xa @ m2 ) ),
inference(forward_subsumption_resolution,[],[f35525,f2056]) ).
thf(f35880,plain,
( ( $true != $true )
| ( m2 = xa )
| ( h2
!= ( g @ xa ) ) ),
inference(constrained_superposition,[],[f6032,f35723]) ).
thf(f35949,plain,
( ( m2 = xa )
| ( h2
!= ( g @ xa ) ) ),
inference(trivial_inequality_removal,[],[f35880]) ).
thf(f36011,plain,
( ( m2 = xa )
| ~ spl98_1 ),
inference(forward_subsumption_resolution,[],[f35949,f3279]) ).
thf(f36018,definition,
( spl98_133
<=> ( m2 = xa ) ),
introduced(definition,[new_symbols(definition,[spl98_133])],[avatar_definition]) ).
thf(f36020,plain,
( ( m2 = xa )
| ~ spl98_133 ),
inference(avatar_component_clause,[],[f36018]) ).
thf(f36034,plain,
( spl98_133
| ~ spl98_1 ),
inference(avatar_split_clause,[],[f36011,f3277,f36018]) ).
thf(f36043,plain,
( ( $true
!= ( ord_less_eq_nat @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) @ m2 ) )
| spl98_7
| ~ spl98_133 ),
inference(constrained_superposition,[],[f4547,f36020]) ).
thf(f36062,plain,
( $false
| spl98_7
| ~ spl98_133 ),
inference(forward_subsumption_resolution,[],[f36043,f1776]) ).
thf(f36063,plain,
( spl98_7
| ~ spl98_133 ),
inference(avatar_contradiction_clause,[],[f36062]) ).
thf(f36103,plain,
( ( m2
= ( suc @ m2 ) )
| ~ spl98_8
| ~ spl98_133 ),
inference(forward_demodulation,[],[f32301,f36020]) ).
thf(f36109,plain,
( $false
| ~ spl98_8
| ~ spl98_133 ),
inference(forward_subsumption_resolution,[],[f36103,f1674]) ).
thf(f36110,plain,
( ~ spl98_8
| ~ spl98_133 ),
inference(avatar_contradiction_clause,[],[f36109]) ).
cnf(s1,plain,
( spl98_1
| spl98_2 ),
inference(sat_conversion,[],[f3284]) ).
cnf(s2,plain,
~ spl98_2,
inference(sat_conversion,[],[f3285]) ).
cnf(s12,plain,
( ~ spl98_7
| spl98_8 ),
inference(sat_conversion,[],[f4552]) ).
cnf(s473,plain,
( ~ spl98_1
| spl98_133 ),
inference(sat_conversion,[],[f36034]) ).
cnf(s475,plain,
( spl98_7
| ~ spl98_133 ),
inference(sat_conversion,[],[f36063]) ).
cnf(s485,plain,
( ~ spl98_8
| ~ spl98_133 ),
inference(sat_conversion,[],[f36110]) ).
cnf(s498,plain,
spl98_1,
inference(rat,[],[s1,s2]) ).
cnf(s500,plain,
spl98_133,
inference(rat,[],[s473,s498]) ).
cnf(s504,plain,
~ spl98_8,
inference(rat,[],[s485,s500]) ).
cnf(s505,plain,
spl98_7,
inference(rat,[],[s475,s500]) ).
cnf(s508,plain,
$false,
inference(rat,[],[s12,s504,s505]) ).
thf(f36124,plain,
$false,
inference(avatar_sat_refutation,[],[s508]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP026^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:39:59 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.04/0.99 % (2966184)Will run a generic schedule for satisfiability detection.
% 4.04/0.99 % (2966193)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4033126836:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.04/0.99 % (2966190)% WARNING: option uhcvi not known.
% 4.04/0.99 % (2966189)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2818033142_2999 on theBenchmark for (2999ds/0Mi)
% 4.04/0.99 % (2966190)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2762628547:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.04/0.99 % (2966191)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1725858659:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.04/0.99 % (2966192)dis+10_1_sil=32000:sp=arity:random_seed=639572275:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.04/0.99 % (2966194)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=508955587:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.04/0.99 % (2966195)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=966209571:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.04/0.99 % (2966193)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/0.99 % (2966193)Instruction limit reached!
% 4.04/0.99 % (2966193)------------------------------
% 4.04/0.99 % (2966193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.99 % (2966193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.99 % (2966193)CaDiCaL version: 2.1.3
% 4.04/0.99 % (2966193)Termination reason: Instruction limit
% 4.04/0.99 % (2966193)Termination phase: Property scanning
% 4.04/0.99 % (2966193)Time elapsed: 0.026 s
% 4.04/0.99 % (2966193)Peak memory usage: 11 MB
% 4.04/0.99 % (2966193)Instructions burned: 121 (million)
% 4.04/0.99 % (2966190)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/0.99 % (2966203)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1637774634:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.04/0.99 % (2966192)Instruction limit reached!
% 4.04/0.99 % (2966192)------------------------------
% 4.04/0.99 % (2966192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.99 % (2966192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.99 % (2966192)CaDiCaL version: 2.1.3
% 4.04/0.99 % (2966192)Termination reason: Instruction limit
% 4.04/0.99 % (2966192)Termination phase: Property scanning
% 4.04/0.99 % (2966192)Time elapsed: 0.043 s
% 4.04/0.99 % (2966192)Peak memory usage: 11 MB
% 4.04/0.99 % (2966192)Instructions burned: 105 (million)
% 4.04/0.99 % Exception at run slice level
% 4.04/0.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.04/0.99 % (2966190)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.04/0.99 % (2966194)Instruction limit reached!
% 4.04/0.99 % (2966194)------------------------------
% 4.04/0.99 % (2966194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.99 % (2966194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.99 % (2966194)CaDiCaL version: 2.1.3
% 4.04/0.99 % (2966194)Termination reason: Instruction limit
% 4.04/0.99 % (2966194)Termination phase: Property scanning
% 4.04/0.99 % (2966194)Time elapsed: 0.056 s
% 4.04/0.99 % (2966194)Peak memory usage: 11 MB
% 4.04/0.99 % (2966194)Instructions burned: 133 (million)
% 4.04/0.99 % Exception at run slice level
% 4.04/0.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.04/0.99 % (2966205)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2238131101:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.04/0.99 % (2966195)Instruction limit reached!
% 4.04/0.99 % (2966195)------------------------------
% 4.04/0.99 % (2966195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.99 % (2966195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.99 % (2966195)CaDiCaL version: 2.1.3
% 4.04/0.99 % (2966195)Termination reason: Instruction limit
% 4.04/0.99 % (2966195)Termination phase: Saturation
% 4.04/0.99 % (2966195)Time elapsed: 0.067 s
% 4.04/0.99 % (2966195)Peak memory usage: 13 MB
% 4.04/0.99 % (2966208)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3225721553:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.83/2.55 % (2966195)Instructions burned: 166 (million)
% 15.83/2.55 % (2966206)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=3652538579:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.83/2.55 % (2966207)ott-21_1_sil=16000:fs=off:random_seed=1373857649:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.83/2.55 % (2966211)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3892042994:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 15.83/2.55 % (2966206)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.83/2.55 % (2966205)Instruction limit reached!
% 15.83/2.55 % (2966205)------------------------------
% 15.83/2.55 % (2966205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.83/2.55 % (2966205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.83/2.55 % (2966205)CaDiCaL version: 2.1.3
% 15.83/2.55 % (2966205)Termination reason: Instruction limit
% 15.83/2.55 % (2966205)Termination phase: Property scanning
% 15.83/2.55 % (2966205)Time elapsed: 0.054 s
% 15.83/2.55 % (2966205)Peak memory usage: 11 MB
% 15.83/2.55 % (2966205)Instructions burned: 131 (million)
% 15.83/2.55 % (2966206)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 15.83/2.55 % (2966215)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1483483550:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.83/2.55 % Exception at run slice level
% 15.83/2.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.83/2.55 % (2966207)Instruction limit reached!
% 15.83/2.55 % (2966207)------------------------------
% 15.83/2.55 % (2966207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.83/2.55 % (2966207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.83/2.55 % (2966207)CaDiCaL version: 2.1.3
% 15.83/2.55 % (2966207)Termination reason: Instruction limit
% 15.83/2.55 % (2966207)Termination phase: Saturation
% 15.83/2.55 % (2966207)Time elapsed: 0.078 s
% 15.83/2.55 % (2966207)Peak memory usage: 14 MB
% 15.83/2.55 % (2966207)Instructions burned: 182 (million)
% 15.83/2.55 % (2966217)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3466559941:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 15.83/2.55 % (2966218)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=1573264761:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 15.83/2.55 % (2966208)Instruction limit reached!
% 15.83/2.55 % (2966208)------------------------------
% 15.83/2.55 % (2966208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.83/2.55 % (2966208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.83/2.55 % (2966208)CaDiCaL version: 2.1.3
% 15.83/2.55 % (2966208)Termination reason: Instruction limit
% 15.83/2.55 % (2966208)Termination phase: Saturation
% 15.83/2.55 % (2966208)Time elapsed: 0.129 s
% 15.83/2.55 % (2966208)Peak memory usage: 15 MB
% 15.83/2.55 % (2966208)Instructions burned: 478 (million)
% 15.83/2.55 % (2966218)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.83/2.55 % (2966221)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=61649810:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 15.83/2.55 % (2966221)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.83/2.55 % Exception at run slice level
% 15.83/2.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.83/2.55 % (2966223)fmb+10_1_sil=64000:random_seed=474016289:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 15.83/2.55 % (2966223)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.83/2.55 % Exception at run slice level
% 15.83/2.55 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.83/2.55 % (2966225)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1612683095:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 15.83/2.55 % (2966206)Instruction limit reached!
% 15.83/2.55 % (2966206)------------------------------
% 15.83/2.55 % (2966206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966206)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966206)Termination reason: Instruction limit
% 19.79/3.05 % (2966206)Termination phase: Saturation
% 19.79/3.05 % (2966206)Time elapsed: 0.296 s
% 19.79/3.05 % (2966206)Peak memory usage: 15 MB
% 19.79/3.05 % (2966206)Instructions burned: 684 (million)
% 19.79/3.05 % Exception at run slice level
% 19.79/3.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.79/3.05 % (2966227)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1145369490:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 19.79/3.05 % (2966228)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=732353369:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 19.79/3.05 % (2966228)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.79/3.05 % (2966218)Instruction limit reached!
% 19.79/3.05 % (2966218)------------------------------
% 19.79/3.05 % (2966218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966218)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966218)Termination reason: Instruction limit
% 19.79/3.05 % (2966218)Termination phase: Saturation
% 19.79/3.05 % (2966218)Time elapsed: 0.261 s
% 19.79/3.05 % (2966218)Peak memory usage: 16 MB
% 19.79/3.05 % (2966218)Instructions burned: 693 (million)
% 19.79/3.05 % (2966221)Instruction limit reached!
% 19.79/3.05 % (2966221)------------------------------
% 19.79/3.05 % (2966221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966221)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966221)Termination reason: Instruction limit
% 19.79/3.05 % (2966221)Termination phase: Saturation
% 19.79/3.05 % (2966221)Time elapsed: 0.230 s
% 19.79/3.05 % (2966221)Peak memory usage: 18 MB
% 19.79/3.05 % (2966221)Instructions burned: 883 (million)
% 19.79/3.05 % Exception at run slice level
% 19.79/3.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.79/3.05 % (2966232)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=812735971:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 19.79/3.05 % (2966231)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2942242383:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 19.79/3.05 % (2966233)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=315547434:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 19.79/3.05 % Exception at run slice level
% 19.79/3.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.79/3.05 % (2966237)ott-2_1_sil=16000:newcnf=on:random_seed=1358685285:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 19.79/3.05 % (2966231)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.79/3.05 % (2966237)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 19.79/3.05 % (2966231)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.79/3.05 % Exception at run slice level
% 19.79/3.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.79/3.05 % (2966239)ott+10_1_sil=32000:tgt=ground:random_seed=282575265:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 19.79/3.05 % (2966215)Instruction limit reached!
% 19.79/3.05 % (2966215)------------------------------
% 19.79/3.05 % (2966215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966215)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966215)Termination reason: Instruction limit
% 19.79/3.05 % (2966215)Termination phase: Saturation
% 19.79/3.05 % (2966215)Time elapsed: 0.563 s
% 19.79/3.05 % (2966215)Peak memory usage: 20 MB
% 19.79/3.05 % (2966215)Instructions burned: 1179 (million)
% 19.79/3.05 % (2966237)Instruction limit reached!
% 19.79/3.05 % (2966237)------------------------------
% 19.79/3.05 % (2966237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966237)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966237)Termination reason: Instruction limit
% 19.79/3.05 % (2966237)Termination phase: Saturation
% 19.79/3.05 % (2966237)Time elapsed: 0.220 s
% 19.79/3.05 % (2966237)Peak memory usage: 18 MB
% 19.79/3.05 % (2966237)Instructions burned: 870 (million)
% 19.79/3.05 % (2966241)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=974109450:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 19.79/3.05 % (2966242)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3529186711:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 19.79/3.05 % (2966242)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.79/3.05 % Exception at run slice level
% 19.79/3.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.79/3.05 % (2966245)dis+21_1_sil=32000:sas=cadical:random_seed=533649967:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 19.79/3.05 % (2966231)Instruction limit reached!
% 19.79/3.05 % (2966231)------------------------------
% 19.79/3.05 % (2966231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966231)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966231)Termination reason: Instruction limit
% 19.79/3.05 % (2966231)Termination phase: Saturation
% 19.79/3.05 % (2966231)Time elapsed: 0.705 s
% 19.79/3.05 % (2966231)Peak memory usage: 19 MB
% 19.79/3.05 % (2966231)Instructions burned: 1474 (million)
% 19.79/3.05 % (2966247)ott+11_1_sil=16000:gs=on:random_seed=4238013740:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 19.79/3.05 % (2966247)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 19.79/3.05 % (2966242)Instruction limit reached!
% 19.79/3.05 % (2966242)------------------------------
% 19.79/3.05 % (2966242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966242)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966242)Termination reason: Instruction limit
% 19.79/3.05 % (2966242)Termination phase: Saturation
% 19.79/3.05 % (2966242)Time elapsed: 0.754 s
% 19.79/3.05 % (2966242)Peak memory usage: 25 MB
% 19.79/3.05 % (2966242)Instructions burned: 3512 (million)
% 19.79/3.05 % (2966249)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1418802419:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 19.79/3.05 % Exception at run slice level
% 19.79/3.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.79/3.05 % (2966251)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=554486532:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 19.79/3.05 % (2966239)Instruction limit reached!
% 19.79/3.05 % (2966239)------------------------------
% 19.79/3.05 % (2966239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966239)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966239)Termination reason: Instruction limit
% 19.79/3.05 % (2966239)Termination phase: Saturation
% 19.79/3.05 % (2966239)Time elapsed: 1.506 s
% 19.79/3.05 % (2966239)Peak memory usage: 17 MB
% 19.79/3.05 % (2966239)Instructions burned: 5114 (million)
% 19.79/3.05 % (2966253)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1701052960:i=29340_2978 on theBenchmark for (2978ds/29340Mi)
% 19.79/3.05 % (2966247)Instruction limit reached!
% 19.79/3.05 % (2966247)------------------------------
% 19.79/3.05 % (2966247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966247)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966247)Termination reason: Instruction limit
% 19.79/3.05 % (2966247)Termination phase: Saturation
% 19.79/3.05 % (2966247)Time elapsed: 1.065 s
% 19.79/3.05 % (2966247)Peak memory usage: 22 MB
% 19.79/3.05 % (2966247)Instructions burned: 2251 (million)
% 19.79/3.05 % (2966255)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=543293683:i=5211_2976 on theBenchmark for (2976ds/5211Mi)
% 19.79/3.05 % (2966228)Instruction limit reached!
% 19.79/3.05 % (2966228)------------------------------
% 19.79/3.05 % (2966228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966228)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966228)Termination reason: Instruction limit
% 19.79/3.05 % (2966228)Termination phase: Saturation
% 19.79/3.05 % (2966228)Time elapsed: 1.971 s
% 19.79/3.05 % (2966228)Peak memory usage: 24 MB
% 19.79/3.05 % (2966228)Instructions burned: 5132 (million)
% 19.79/3.05 % (2966257)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1860370377:i=5497:nm=2_2975 on theBenchmark for (2975ds/5497Mi)
% 19.79/3.05 % Exception at run slice level
% 19.79/3.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.79/3.05 % (2966259)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1369579421:fmbsr=2:i=46332_2974 on theBenchmark for (2974ds/46332Mi)
% 19.79/3.05 % Exception at run slice level
% 19.79/3.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.79/3.05 % (2966245)Instruction limit reached!
% 19.79/3.05 % (2966245)------------------------------
% 19.79/3.05 % (2966245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966245)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966245)Termination reason: Instruction limit
% 19.79/3.05 % (2966245)Termination phase: Saturation
% 19.79/3.05 % (2966245)Time elapsed: 1.744 s
% 19.79/3.05 % (2966245)Peak memory usage: 36 MB
% 19.79/3.05 % (2966245)Instructions burned: 3775 (million)
% 19.79/3.05 % (2966261)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2969287037:i=14071_2974 on theBenchmark for (2974ds/14071Mi)
% 19.79/3.05 % (2966263)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1905134598:i=22565:add=on:rawr=on_2973 on theBenchmark for (2973ds/22565Mi)
% 19.79/3.05 % Exception at run slice level
% 19.79/3.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.79/3.05 % (2966265)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1431488203:i=8173:av=off_2973 on theBenchmark for (2973ds/8173Mi)
% 19.79/3.05 % (2966251)Instruction limit reached!
% 19.79/3.05 % (2966251)------------------------------
% 19.79/3.05 % (2966251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.05 % (2966251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.05 % (2966251)CaDiCaL version: 2.1.3
% 19.79/3.05 % (2966251)Termination reason: Instruction limit
% 19.79/3.05 % (2966251)Termination phase: Saturation
% 19.79/3.05 % (2966251)Time elapsed: 1.130 s
% 19.79/3.05 % (2966251)Peak memory usage: 26 MB
% 19.79/3.05 % (2966251)Instructions burned: 4592 (million)
% 19.79/3.05 % (2966267)dis+10_16:1_sil=16000:random_seed=1407608295:i=9155:fsr=off_2972 on theBenchmark for (2972ds/9155Mi)
% 19.79/3.05 % (2966190) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2966184-2966190"...
% 19.79/3.05 % (2966190)...printing done.
% 19.79/3.05 % (2966190)Refutation found. Thanks to Tanya!
% 19.79/3.05 % SZS status Theorem for theBenchmark
% 19.79/3.05 % SZS output start Proof for theBenchmark
% See solution above
% 19.79/3.06 % (2966190)------------------------------
% 19.79/3.06 % (2966190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.79/3.06 % (2966190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.06 % (2966190)CaDiCaL version: 2.1.3
% 19.79/3.06 % (2966190)Termination reason: Refutation
% 19.79/3.06 % (2966190)Time elapsed: 2.762 s
% 19.79/3.06 % (2966190)Peak memory usage: 38 MB
% 19.79/3.06 % (2966190)Instructions burned: 5879 (million)
% 19.79/3.06 % (2966184)Success in time 2.828 s
% 19.79/3.06 % Vampire exiting
%------------------------------------------------------------------------------