%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP027^1 : 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 : n026.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 08:10:25 AM UTC 2026
% Result : Theorem 0.67s 0.43s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 193 ( 81 equ; 0 cnn)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 770 ( 27 ~; 20 |; 32 &; 663 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 55 ( 54 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 311 ( 308 usr; 6 con; 0-7 aty)
% Number of variables : 61 ( 15 ^; 45 !; 1 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
carrie1954260683t_unit: $tType ).
thf(type_def_6,type,
carrie1948989069_d_a_e: $tType ).
thf(type_def_7,type,
carrie1105631105xt_a_b: $tType ).
thf(type_def_8,type,
set_a_a_c_d_c_d: $tType ).
thf(type_def_9,type,
set_c_d_c_d_c_d: $tType ).
thf(type_def_10,type,
set_a_a_a_a_a_d: $tType ).
thf(type_def_11,type,
set_a_a_a_a_a: $tType ).
thf(type_def_12,type,
set_a_c_d_c_d: $tType ).
thf(type_def_13,type,
set_c_d_a_a_a: $tType ).
thf(type_def_14,type,
set_c_d_c_d_a: $tType ).
thf(type_def_15,type,
set_c_d_a_a_a2: $tType ).
thf(type_def_16,type,
set_a_a_a_c_d: $tType ).
thf(type_def_17,type,
set_a_a_a_a_a2: $tType ).
thf(type_def_18,type,
set_a_a_c_d_d: $tType ).
thf(type_def_19,type,
set_a_a_c_d_a: $tType ).
thf(type_def_20,type,
set_a_a_a_a_d: $tType ).
thf(type_def_21,type,
set_a_a_a_a_a3: $tType ).
thf(type_def_22,type,
set_c_d_c_d_d: $tType ).
thf(type_def_23,type,
set_c_d_c_d_a2: $tType ).
thf(type_def_24,type,
set_a_a_c_d: $tType ).
thf(type_def_25,type,
set_a_a_a_a: $tType ).
thf(type_def_26,type,
set_a_c_d_a: $tType ).
thf(type_def_27,type,
set_a_a_a_a2: $tType ).
thf(type_def_28,type,
set_c_d_c_d: $tType ).
thf(type_def_29,type,
set_c_d_a_a: $tType ).
thf(type_def_30,type,
set_a_a_c_d2: $tType ).
thf(type_def_31,type,
set_a_a_a_a3: $tType ).
thf(type_def_32,type,
set_a_a_a_d: $tType ).
thf(type_def_33,type,
set_a_a_a_a4: $tType ).
thf(type_def_34,type,
set_d_c_d: $tType ).
thf(type_def_35,type,
set_c_c_d: $tType ).
thf(type_def_36,type,
set_a_c_d: $tType ).
thf(type_def_37,type,
set_a_a_a: $tType ).
thf(type_def_38,type,
set_c_d_d: $tType ).
thf(type_def_39,type,
set_c_d_a: $tType ).
thf(type_def_40,type,
set_a_a_d: $tType ).
thf(type_def_41,type,
set_a_a_a2: $tType ).
thf(type_def_42,type,
set_d_d: $tType ).
thf(type_def_43,type,
set_d_c: $tType ).
thf(type_def_44,type,
set_d_a: $tType ).
thf(type_def_45,type,
set_c_d: $tType ).
thf(type_def_46,type,
set_c_c: $tType ).
thf(type_def_47,type,
set_c_a: $tType ).
thf(type_def_48,type,
set_a_d: $tType ).
thf(type_def_49,type,
set_a_c: $tType ).
thf(type_def_50,type,
set_a_a: $tType ).
thf(type_def_51,type,
set_nat: $tType ).
thf(type_def_52,type,
set_d: $tType ).
thf(type_def_53,type,
set_c: $tType ).
thf(type_def_54,type,
set_a: $tType ).
thf(type_def_55,type,
nat: $tType ).
thf(type_def_56,type,
d: $tType ).
thf(type_def_57,type,
c: $tType ).
thf(type_def_58,type,
a: $tType ).
thf(type_def_59,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
carrie20288686t_unit: carrie1954260683t_unit > set_c_d ).
thf(func_def_1,type,
carrie867757212xt_a_b: carrie1105631105xt_a_b > set_a ).
thf(func_def_2,type,
carrie11369756_d_a_e: carrie1948989069_d_a_e > set_d ).
thf(func_def_3,type,
j_rad_a_b: carrie1105631105xt_a_b > set_a ).
thf(func_def_4,type,
ring_a_b: carrie1105631105xt_a_b > $o ).
thf(func_def_5,type,
tp_a_b: carrie1105631105xt_a_b > a > a > a ).
thf(func_def_6,type,
un_a_b: carrie1105631105xt_a_b > a ).
thf(func_def_7,type,
sr_a_b: carrie1105631105xt_a_b > set_a > carrie1105631105xt_a_b ).
thf(func_def_8,type,
subring_a_b_b: carrie1105631105xt_a_b > carrie1105631105xt_a_b > $o ).
thf(func_def_9,type,
unit_a_b: carrie1105631105xt_a_b > a > $o ).
thf(func_def_10,type,
aGroup2131905830t_unit: carrie1954260683t_unit > $o ).
thf(func_def_11,type,
aGroup2097840802xt_a_b: carrie1105631105xt_a_b > $o ).
thf(func_def_12,type,
aGroup1940521469_d_a_e: carrie1948989069_d_a_e > $o ).
thf(func_def_13,type,
mop_a_Ring_ext_a_b: carrie1105631105xt_a_b > a > a ).
thf(func_def_14,type,
pop_c_449750139t_unit: carrie1954260683t_unit > ( c > d ) > ( c > d ) > c > d ).
thf(func_def_15,type,
pop_a_Ring_ext_a_b: carrie1105631105xt_a_b > a > a > a ).
thf(func_def_16,type,
pop_d_261713874_d_a_e: carrie1948989069_d_a_e > d > d > d ).
thf(func_def_17,type,
aset_s1743553894xt_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a ).
thf(func_def_18,type,
carr_d267359390xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > set_a_a ).
thf(func_def_19,type,
carr_d56066307_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > set_c_d ).
thf(func_def_20,type,
carr_p1617094073xt_a_b: set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1105631105xt_a_b ) > set_c_d_c_d_a2 ).
thf(func_def_21,type,
carr_p428609062_d_a_e: set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1948989069_d_a_e ) > set_c_d_c_d_d ).
thf(func_def_22,type,
carr_p1980447933_d_a_e: set_a_a_a_a_a > ( ( a > a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a_a_d ).
thf(func_def_23,type,
carr_p1850824937xt_a_b: set_a_a_a_a > ( ( a > a > a > a ) > carrie1105631105xt_a_b ) > set_a_a_a_a_a3 ).
thf(func_def_24,type,
carr_p305487606_d_a_e: set_a_a_a_a > ( ( a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a_d ).
thf(func_def_25,type,
carr_p109409832xt_a_b: set_a_a_c_d > ( ( a > a > c > d ) > carrie1105631105xt_a_b ) > set_a_a_c_d_a ).
thf(func_def_26,type,
carr_p577380087_d_a_e: set_a_a_c_d > ( ( a > a > c > d ) > carrie1948989069_d_a_e ) > set_a_a_c_d_d ).
thf(func_def_27,type,
carr_p1481099064xt_a_b: set_a_a_a > ( ( a > a > a ) > carrie1105631105xt_a_b ) > set_a_a_a_a4 ).
thf(func_def_28,type,
carr_p1364179431_d_a_e: set_a_a_a > ( ( a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_d ).
thf(func_def_29,type,
carr_p740328767xt_a_b: set_a_a > ( ( a > a ) > carrie1105631105xt_a_b ) > set_a_a_a2 ).
thf(func_def_30,type,
carr_p1646427936_d_a_e: set_a_a > ( ( a > a ) > carrie1948989069_d_a_e ) > set_a_a_d ).
thf(func_def_31,type,
carr_p996491646xt_a_b: set_c_d > ( ( c > d ) > carrie1105631105xt_a_b ) > set_c_d_a ).
thf(func_def_32,type,
carr_p124510241_d_a_e: set_c_d > ( ( c > d ) > carrie1948989069_d_a_e ) > set_c_d_d ).
thf(func_def_33,type,
carr_p923087418t_unit: set_a > ( a > carrie1954260683t_unit ) > set_a_c_d ).
thf(func_def_34,type,
carr_p290614414xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > set_a_a ).
thf(func_def_35,type,
carr_p1084104977_d_a_e: set_a > ( a > carrie1948989069_d_a_e ) > set_a_d ).
thf(func_def_36,type,
carr_p1080792380t_unit: set_c > ( c > carrie1954260683t_unit ) > set_c_c_d ).
thf(func_def_37,type,
carr_p295160588xt_a_b: set_c > ( c > carrie1105631105xt_a_b ) > set_c_a ).
thf(func_def_38,type,
carr_p1636662547_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > set_c_d ).
thf(func_def_39,type,
carr_p1159644861t_unit: set_d > ( d > carrie1954260683t_unit ) > set_d_c_d ).
thf(func_def_40,type,
carr_p297433675xt_a_b: set_d > ( d > carrie1105631105xt_a_b ) > set_d_a ).
thf(func_def_41,type,
carr_p1912941332_d_a_e: set_d > ( d > carrie1948989069_d_a_e ) > set_d_d ).
thf(func_def_42,type,
local_ring_a_b: carrie1105631105xt_a_b > $o ).
thf(func_def_43,type,
maximal_ideal_a_b: carrie1105631105xt_a_b > set_a > $o ).
thf(func_def_44,type,
mul_closed_set_a_b: carrie1105631105xt_a_b > set_a > $o ).
thf(func_def_45,type,
nscal_a_b: carrie1105631105xt_a_b > a > nat > a ).
thf(func_def_46,type,
primary_ideal_a_b: carrie1105631105xt_a_b > set_a > $o ).
thf(func_def_47,type,
prod_m2022989242xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > ( a > a ) > a > a ).
thf(func_def_48,type,
prod_m854557927_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > ( c > d ) > c > d ).
thf(func_def_49,type,
prod_p1959959370xt_a_b: set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1105631105xt_a_b ) > ( ( ( c > d ) > c > d ) > a ) > ( ( ( c > d ) > c > d ) > a ) > ( ( c > d ) > c > d ) > a ).
thf(func_def_50,type,
prod_p46206586xt_a_b: set_a_a_a_a > ( ( a > a > a > a ) > carrie1105631105xt_a_b ) > ( ( a > a > a > a ) > a ) > ( ( a > a > a > a ) > a ) > ( a > a > a > a ) > a ).
thf(func_def_51,type,
prod_p452275129xt_a_b: set_a_a_c_d > ( ( a > a > c > d ) > carrie1105631105xt_a_b ) > ( ( a > a > c > d ) > a ) > ( ( a > a > c > d ) > a ) > ( a > a > c > d ) > a ).
thf(func_def_52,type,
prod_p1460711911xt_a_b: set_a_a_a > ( ( a > a > a ) > carrie1105631105xt_a_b ) > ( ( a > a > a ) > a ) > ( ( a > a > a ) > a ) > ( a > a > a ) > a ).
thf(func_def_53,type,
prod_p1210452560xt_a_b: set_a_a > ( ( a > a ) > carrie1105631105xt_a_b ) > ( ( a > a ) > a ) > ( ( a > a ) > a ) > ( a > a ) > a ).
thf(func_def_54,type,
prod_p1466615439xt_a_b: set_c_d > ( ( c > d ) > carrie1105631105xt_a_b ) > ( ( c > d ) > a ) > ( ( c > d ) > a ) > ( c > d ) > a ).
thf(func_def_55,type,
prod_p704341949xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > ( a > a ) > ( a > a ) > a > a ).
thf(func_def_56,type,
prod_p708888123xt_a_b: set_c > ( c > carrie1105631105xt_a_b ) > ( c > a ) > ( c > a ) > c > a ).
thf(func_def_57,type,
prod_p131511076_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > ( c > d ) > ( c > d ) > c > d ).
thf(func_def_58,type,
prod_p711161210xt_a_b: set_d > ( d > carrie1105631105xt_a_b ) > ( d > a ) > ( d > a ) > d > a ).
thf(func_def_59,type,
prod_z851058290xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > a > a ).
thf(func_def_60,type,
prod_z1214987823_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > c > d ).
thf(func_def_61,type,
sr_a_b2: carrie1105631105xt_a_b > set_a > $o ).
thf(func_def_62,type,
zeroring_a_b: carrie1105631105xt_a_b > $o ).
thf(func_def_63,type,
sum_mult_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a ).
thf(func_def_64,type,
module1440397025unit_b: carrie1954260683t_unit > carrie1105631105xt_a_b > $o ).
thf(func_def_65,type,
module_d_a_e_b: carrie1948989069_d_a_e > carrie1105631105xt_a_b > $o ).
thf(func_def_66,type,
sprod_1929599593t_unit: carrie1954260683t_unit > a > ( c > d ) > c > d ).
thf(func_def_67,type,
sprod_d_a_e: carrie1948989069_d_a_e > a > d > d ).
thf(func_def_68,type,
mHom_a1526663829t_unit: carrie1105631105xt_a_b > carrie1954260683t_unit > carrie1954260683t_unit > set_c_d_c_d ).
thf(func_def_69,type,
mHom_a764575953it_d_e: carrie1105631105xt_a_b > carrie1954260683t_unit > carrie1948989069_d_a_e > set_c_d_d ).
thf(func_def_70,type,
mHom_a_b_d_e_d_e: carrie1105631105xt_a_b > carrie1948989069_d_a_e > carrie1948989069_d_a_e > set_d_d ).
thf(func_def_71,type,
algebr1968153176_c_d_e: carrie1105631105xt_a_b > set_c > ( c > carrie1948989069_d_a_e ) > carrie1954260683t_unit ).
thf(func_def_72,type,
algebr828196337_d_d_e: carrie1105631105xt_a_b > set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1948989069_d_a_e ) > a > ( ( ( c > d ) > c > d ) > d ) > ( ( c > d ) > c > d ) > d ).
thf(func_def_73,type,
algebr2122715238_a_d_e: carrie1105631105xt_a_b > set_a_a_a_a_a > ( ( a > a > a > a > a ) > carrie1948989069_d_a_e ) > a > ( ( a > a > a > a > a ) > d ) > ( a > a > a > a > a ) > d ).
thf(func_def_74,type,
algebr303206081_a_d_e: carrie1105631105xt_a_b > set_a_a_a_a > ( ( a > a > a > a ) > carrie1948989069_d_a_e ) > a > ( ( a > a > a > a ) > d ) > ( a > a > a > a ) > d ).
thf(func_def_75,type,
algebr1620716610_d_d_e: carrie1105631105xt_a_b > set_a_a_c_d > ( ( a > a > c > d ) > carrie1948989069_d_a_e ) > a > ( ( a > a > c > d ) > d ) > ( a > a > c > d ) > d ).
thf(func_def_76,type,
algebr1655014672_a_d_e: carrie1105631105xt_a_b > set_a_a_a > ( ( a > a > a ) > carrie1948989069_d_a_e ) > a > ( ( a > a > a ) > d ) > ( a > a > a ) > d ).
thf(func_def_77,type,
algebr137561451_a_d_e: carrie1105631105xt_a_b > set_a_a > ( ( a > a ) > carrie1948989069_d_a_e ) > a > ( ( a > a ) > d ) > ( a > a ) > d ).
thf(func_def_78,type,
algebr924632044_d_d_e: carrie1105631105xt_a_b > set_c_d > ( ( c > d ) > carrie1948989069_d_a_e ) > a > ( ( c > d ) > d ) > ( c > d ) > d ).
thf(func_def_79,type,
algebr2109842362_a_d_e: carrie1105631105xt_a_b > set_a > ( a > carrie1948989069_d_a_e ) > a > ( a > d ) > a > d ).
thf(func_def_80,type,
algebr1697692348_c_d_e: carrie1105631105xt_a_b > set_c > ( c > carrie1948989069_d_a_e ) > a > ( c > d ) > c > d ).
thf(func_def_81,type,
algebr417875517_d_d_e: carrie1105631105xt_a_b > set_d > ( d > carrie1948989069_d_a_e ) > a > ( d > d ) > d > d ).
thf(func_def_82,type,
pi_a_a_a_a_a: set_a_a_a > ( ( a > a > a ) > set_a_a ) > set_a_a_a_a_a2 ).
thf(func_def_83,type,
pi_a_a_a_c_d: set_a_a_a > ( ( a > a > a ) > set_c_d ) > set_a_a_a_c_d ).
thf(func_def_84,type,
pi_a_a_a_a: set_a_a_a > ( ( a > a > a ) > set_a ) > set_a_a_a_a4 ).
thf(func_def_85,type,
pi_a_a_a_a2: set_a_a > ( ( a > a ) > set_a_a ) > set_a_a_a_a3 ).
thf(func_def_86,type,
pi_a_a_c_d: set_a_a > ( ( a > a ) > set_c_d ) > set_a_a_c_d2 ).
thf(func_def_87,type,
pi_a_a_a: set_a_a > ( ( a > a ) > set_a ) > set_a_a_a2 ).
thf(func_def_88,type,
pi_c_d_a_a_a: set_c_d > ( ( c > d ) > set_a_a_a2 ) > set_c_d_a_a_a2 ).
thf(func_def_89,type,
pi_c_d_c_d_c_d: set_c_d > ( ( c > d ) > set_c_d_c_d ) > set_c_d_c_d_c_d ).
thf(func_def_90,type,
pi_c_d_c_d_a: set_c_d > ( ( c > d ) > set_c_d_a ) > set_c_d_c_d_a ).
thf(func_def_91,type,
pi_c_d_a_a_a2: set_c_d > ( ( c > d ) > set_a_a_a ) > set_c_d_a_a_a ).
thf(func_def_92,type,
pi_c_d_a_a: set_c_d > ( ( c > d ) > set_a_a ) > set_c_d_a_a ).
thf(func_def_93,type,
pi_c_d_c_d: set_c_d > ( ( c > d ) > set_c_d ) > set_c_d_c_d ).
thf(func_def_94,type,
pi_c_d_a: set_c_d > ( ( c > d ) > set_a ) > set_c_d_a ).
thf(func_def_95,type,
pi_a_a_a_a3: set_a > ( a > set_a_a_a2 ) > set_a_a_a_a2 ).
thf(func_def_96,type,
pi_a_c_d_a: set_a > ( a > set_c_d_a ) > set_a_c_d_a ).
thf(func_def_97,type,
pi_a_a_c_d_c_d: set_a > ( a > set_a_c_d_c_d ) > set_a_a_c_d_c_d ).
thf(func_def_98,type,
pi_a_a_a_a_a2: set_a > ( a > set_a_a_a_a ) > set_a_a_a_a_a ).
thf(func_def_99,type,
pi_a_a_a_a4: set_a > ( a > set_a_a_a ) > set_a_a_a_a ).
thf(func_def_100,type,
pi_a_a_c_d2: set_a > ( a > set_a_c_d ) > set_a_a_c_d ).
thf(func_def_101,type,
pi_a_a_a2: set_a > ( a > set_a_a ) > set_a_a_a ).
thf(func_def_102,type,
pi_a_c_d: set_a > ( a > set_c_d ) > set_a_c_d ).
thf(func_def_103,type,
pi_a_a: set_a > ( a > set_a ) > set_a_a ).
thf(func_def_104,type,
pi_a_c: set_a > ( a > set_c ) > set_a_c ).
thf(func_def_105,type,
pi_a_d: set_a > ( a > set_d ) > set_a_d ).
thf(func_def_106,type,
pi_c_a: set_c > ( c > set_a ) > set_c_a ).
thf(func_def_107,type,
pi_c_c: set_c > ( c > set_c ) > set_c_c ).
thf(func_def_108,type,
pi_c_d: set_c > ( c > set_d ) > set_c_d ).
thf(func_def_109,type,
pi_d_a: set_d > ( d > set_a ) > set_d_a ).
thf(func_def_110,type,
pi_d_c: set_d > ( d > set_c ) > set_d_c ).
thf(func_def_111,type,
pi_d_d: set_d > ( d > set_d ) > set_d_d ).
thf(func_def_112,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_113,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_114,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_115,type,
collect_c_d_c_d: ( ( ( c > d ) > c > d ) > $o ) > set_c_d_c_d ).
thf(func_def_116,type,
collect_a_a_a_a: ( ( a > a > a > a ) > $o ) > set_a_a_a_a ).
thf(func_def_117,type,
collect_a_a_c_d: ( ( a > a > c > d ) > $o ) > set_a_a_c_d ).
thf(func_def_118,type,
collect_a_a_a: ( ( a > a > a ) > $o ) > set_a_a_a ).
thf(func_def_119,type,
collect_a_a: ( ( a > a ) > $o ) > set_a_a ).
thf(func_def_120,type,
collect_c_d: ( ( c > d ) > $o ) > set_c_d ).
thf(func_def_121,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_122,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_123,type,
collect_c: ( c > $o ) > set_c ).
thf(func_def_124,type,
collect_d: ( d > $o ) > set_d ).
thf(func_def_125,type,
member_c_d_c_d_a: ( ( ( c > d ) > c > d ) > a ) > set_c_d_c_d_a2 > $o ).
thf(func_def_126,type,
member_c_d_c_d_d: ( ( ( c > d ) > c > d ) > d ) > set_c_d_c_d_d > $o ).
thf(func_def_127,type,
member_a_a_a_a_a_d: ( ( a > a > a > a > a ) > d ) > set_a_a_a_a_a_d > $o ).
thf(func_def_128,type,
member_a_a_a_a_a: ( ( a > a > a > a ) > a ) > set_a_a_a_a_a3 > $o ).
thf(func_def_129,type,
member_a_a_a_a_d: ( ( a > a > a > a ) > d ) > set_a_a_a_a_d > $o ).
thf(func_def_130,type,
member_a_a_c_d_a: ( ( a > a > c > d ) > a ) > set_a_a_c_d_a > $o ).
thf(func_def_131,type,
member_a_a_c_d_d: ( ( a > a > c > d ) > d ) > set_a_a_c_d_d > $o ).
thf(func_def_132,type,
member_a_a_a_a_a2: ( ( a > a > a ) > a > a ) > set_a_a_a_a_a2 > $o ).
thf(func_def_133,type,
member_a_a_a_c_d: ( ( a > a > a ) > c > d ) > set_a_a_a_c_d > $o ).
thf(func_def_134,type,
member_a_a_a_a: ( ( a > a > a ) > a ) > set_a_a_a_a4 > $o ).
thf(func_def_135,type,
member_a_a_a_d: ( ( a > a > a ) > d ) > set_a_a_a_d > $o ).
thf(func_def_136,type,
member_a_a_a_a2: ( ( a > a ) > a > a ) > set_a_a_a_a3 > $o ).
thf(func_def_137,type,
member_a_a_c_d: ( ( a > a ) > c > d ) > set_a_a_c_d2 > $o ).
thf(func_def_138,type,
member_a_a_a: ( ( a > a ) > a ) > set_a_a_a2 > $o ).
thf(func_def_139,type,
member_a_a_d: ( ( a > a ) > d ) > set_a_a_d > $o ).
thf(func_def_140,type,
member_c_d_a_a_a: ( ( c > d ) > ( a > a ) > a ) > set_c_d_a_a_a2 > $o ).
thf(func_def_141,type,
member_c_d_c_d_c_d: ( ( c > d ) > ( c > d ) > c > d ) > set_c_d_c_d_c_d > $o ).
thf(func_def_142,type,
member_c_d_c_d_a2: ( ( c > d ) > ( c > d ) > a ) > set_c_d_c_d_a > $o ).
thf(func_def_143,type,
member_c_d_a_a_a2: ( ( c > d ) > a > a > a ) > set_c_d_a_a_a > $o ).
thf(func_def_144,type,
member_c_d_a_a: ( ( c > d ) > a > a ) > set_c_d_a_a > $o ).
thf(func_def_145,type,
member_c_d_c_d: ( ( c > d ) > c > d ) > set_c_d_c_d > $o ).
thf(func_def_146,type,
member_c_d_a: ( ( c > d ) > a ) > set_c_d_a > $o ).
thf(func_def_147,type,
member_c_d_d: ( ( c > d ) > d ) > set_c_d_d > $o ).
thf(func_def_148,type,
member_a_a_a_a3: ( a > ( a > a ) > a ) > set_a_a_a_a2 > $o ).
thf(func_def_149,type,
member_a_c_d_c_d: ( a > ( c > d ) > c > d ) > set_a_c_d_c_d > $o ).
thf(func_def_150,type,
member_a_c_d_a: ( a > ( c > d ) > a ) > set_a_c_d_a > $o ).
thf(func_def_151,type,
member_a_a_c_d_c_d: ( a > a > ( c > d ) > c > d ) > set_a_a_c_d_c_d > $o ).
thf(func_def_152,type,
member_a_a_a_a_a3: ( a > a > a > a > a ) > set_a_a_a_a_a > $o ).
thf(func_def_153,type,
member_a_a_a_a4: ( a > a > a > a ) > set_a_a_a_a > $o ).
thf(func_def_154,type,
member_a_a_c_d2: ( a > a > c > d ) > set_a_a_c_d > $o ).
thf(func_def_155,type,
member_a_a_a2: ( a > a > a ) > set_a_a_a > $o ).
thf(func_def_156,type,
member_a_c_d: ( a > c > d ) > set_a_c_d > $o ).
thf(func_def_157,type,
member_a_a: ( a > a ) > set_a_a > $o ).
thf(func_def_158,type,
member_a_c: ( a > c ) > set_a_c > $o ).
thf(func_def_159,type,
member_a_d: ( a > d ) > set_a_d > $o ).
thf(func_def_160,type,
member_c_c_d: ( c > c > d ) > set_c_c_d > $o ).
thf(func_def_161,type,
member_c_a: ( c > a ) > set_c_a > $o ).
thf(func_def_162,type,
member_c_c: ( c > c ) > set_c_c > $o ).
thf(func_def_163,type,
member_c_d: ( c > d ) > set_c_d > $o ).
thf(func_def_164,type,
member_d_c_d: ( d > c > d ) > set_d_c_d > $o ).
thf(func_def_165,type,
member_d_a: ( d > a ) > set_d_a > $o ).
thf(func_def_166,type,
member_d_c: ( d > c ) > set_d_c > $o ).
thf(func_def_167,type,
member_d_d: ( d > d ) > set_d_d > $o ).
thf(func_def_168,type,
member_nat: nat > set_nat > $o ).
thf(func_def_169,type,
member_a: a > set_a > $o ).
thf(func_def_170,type,
member_c: c > set_c > $o ).
thf(func_def_171,type,
member_d: d > set_d > $o ).
thf(func_def_172,type,
i: set_c ).
thf(func_def_173,type,
m: c > carrie1948989069_d_a_e ).
thf(func_def_174,type,
r: carrie1105631105xt_a_b ).
thf(func_def_178,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_179,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_180,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_181,type,
vIMP: $o > $o > $o ).
thf(func_def_182,type,
sK0: ( c > set_d ) > ( c > d ) > set_c > c ).
thf(func_def_183,type,
sK1: ( a > set_a ) > ( a > a ) > set_a > a ).
thf(func_def_184,type,
sK2: ( ( c > d ) > set_a ) > ( ( c > d ) > a ) > set_c_d > c > d ).
thf(func_def_185,type,
sK3: ( ( a > a ) > set_a ) > ( ( a > a ) > a ) > set_a_a > a > a ).
thf(func_def_186,type,
sK4: ( a > set_c_d ) > ( a > c > d ) > set_a > a ).
thf(func_def_187,type,
sK5: ( a > set_a_a ) > ( a > a > a ) > set_a > a ).
thf(func_def_188,type,
sK6: ( ( c > d ) > set_c_d ) > ( ( c > d ) > c > d ) > set_c_d > c > d ).
thf(func_def_189,type,
sK7: ( ( c > d ) > set_a_a ) > ( ( c > d ) > a > a ) > set_c_d > c > d ).
thf(func_def_190,type,
sK8: ( ( a > a > a ) > set_a ) > ( ( a > a > a ) > a ) > set_a_a_a > a > a > a ).
thf(func_def_191,type,
sK9: ( ( a > a ) > set_c_d ) > ( ( a > a ) > c > d ) > set_a_a > a > a ).
thf(func_def_192,type,
sK10: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_193,type,
sK11: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_194,type,
sK12: set_d > ( c > d ) > set_c > c ).
thf(func_def_195,type,
sK13: set_a > ( a > a ) > set_a > a ).
thf(func_def_196,type,
sK14: set_a > ( ( c > d ) > a ) > set_c_d > c > d ).
thf(func_def_197,type,
sK15: set_a > ( ( a > a ) > a ) > set_a_a > a > a ).
thf(func_def_198,type,
sK16: set_c_d > ( a > c > d ) > set_a > a ).
thf(func_def_199,type,
sK17: set_a_a > ( a > a > a ) > set_a > a ).
thf(func_def_200,type,
sK18: set_c_d > ( ( c > d ) > c > d ) > set_c_d > c > d ).
thf(func_def_201,type,
sK19: set_a_a > ( ( c > d ) > a > a ) > set_c_d > c > d ).
thf(func_def_202,type,
sK20: set_a > ( ( a > a > a ) > a ) > set_a_a_a > a > a > a ).
thf(func_def_203,type,
sK21: set_c_d > ( ( a > a ) > c > d ) > set_a_a > a > a ).
thf(func_def_204,type,
sK22: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_205,type,
sK23: ( c > d ) > ( c > d ) > set_c > c ).
thf(func_def_206,type,
sK24: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_207,type,
sK25: ( c > d ) > ( c > d ) > set_c > c ).
thf(func_def_208,type,
sK26: ( c > carrie1948989069_d_a_e ) > set_c > carrie1105631105xt_a_b > c ).
thf(func_def_209,type,
sK27: ( a > a ) > ( a > a ) > set_a > a ).
thf(func_def_210,type,
sK28: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_211,type,
sK29: ( c > d ) > ( c > d ) > set_c > c ).
thf(func_def_212,type,
sK30: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_213,type,
sK31: ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_214,type,
sK32: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_215,type,
sK33: ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_216,type,
sK34: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_217,type,
sK35: ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_218,type,
sK36: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_219,type,
sK37: ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_220,type,
sK38: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_221,type,
sK39: ( c > carrie1948989069_d_a_e ) > set_c > carrie1105631105xt_a_b > c ).
thf(func_def_222,type,
sK40: ( c > carrie1948989069_d_a_e ) > set_c > carrie1105631105xt_a_b > c ).
thf(func_def_223,type,
sK41: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_224,type,
sK42: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_225,type,
sK43: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_226,type,
sK44: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_227,type,
sK45: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_228,type,
sK46: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_229,type,
sK47: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_230,type,
sK48: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_231,type,
sK49: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_232,type,
sK50: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_233,type,
sK51: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_234,type,
sK52: ( ( c > d ) > ( c > d ) > c > d ) > ( ( c > d ) > ( c > d ) > c > d ) > set_c_d > c > d ).
thf(func_def_235,type,
sK53: ( ( c > d ) > c > d ) > ( ( c > d ) > c > d ) > set_c_d > c > d ).
thf(func_def_236,type,
sK54: ( a > c > d ) > ( a > c > d ) > set_a > a ).
thf(func_def_237,type,
sK55: ( a > a > ( c > d ) > c > d ) > ( a > a > ( c > d ) > c > d ) > set_a > a ).
thf(func_def_238,type,
sK56: ( a > a > a ) > ( a > a > a ) > set_a > a ).
thf(func_def_239,type,
sK57: ( a > a ) > ( a > a ) > set_a > a ).
thf(func_def_240,type,
sK58: ( a > a > c > d ) > ( a > a > c > d ) > set_a > a ).
thf(func_def_241,type,
sK59: ( a > a > a > a > a ) > ( a > a > a > a > a ) > set_a > a ).
thf(func_def_242,type,
sK60: ( a > a > a > a ) > ( a > a > a > a ) > set_a > a ).
thf(func_def_243,type,
sK61: ( c > d ) > ( c > d ) > set_c > c ).
thf(func_def_244,type,
sK62: ( a > set_a ) > ( a > a ) > set_a > a ).
thf(func_def_245,type,
sK63: ( a > set_d ) > ( a > d ) > set_a > a ).
thf(func_def_246,type,
sK64: ( a > set_c ) > ( a > c ) > set_a > a ).
thf(func_def_247,type,
sK65: ( d > set_a ) > ( d > a ) > set_d > d ).
thf(func_def_248,type,
sK66: ( d > set_d ) > ( d > d ) > set_d > d ).
thf(func_def_249,type,
sK67: ( d > set_c ) > ( d > c ) > set_d > d ).
thf(func_def_250,type,
sK68: ( c > set_a ) > ( c > a ) > set_c > c ).
thf(func_def_251,type,
sK69: ( c > set_d ) > ( c > d ) > set_c > c ).
thf(func_def_252,type,
sK70: ( c > set_c ) > ( c > c ) > set_c > c ).
thf(func_def_253,type,
sK71: ( ( c > d ) > set_a ) > ( ( c > d ) > a ) > set_c_d > c > d ).
thf(func_def_254,type,
sK72: ( ( ( c > d ) > c > d ) > carrie1948989069_d_a_e ) > set_c_d_c_d > ( c > d ) > c > d ).
thf(func_def_255,type,
sK73: ( ( c > d ) > carrie1948989069_d_a_e ) > set_c_d > c > d ).
thf(func_def_256,type,
sK74: ( ( a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a > a > a > a ).
thf(func_def_257,type,
sK75: ( ( a > a ) > carrie1948989069_d_a_e ) > set_a_a > a > a ).
thf(func_def_258,type,
sK76: ( a > carrie1948989069_d_a_e ) > set_a > a ).
thf(func_def_259,type,
sK77: ( ( a > a > c > d ) > carrie1948989069_d_a_e ) > set_a_a_c_d > a > a > c > d ).
thf(func_def_260,type,
sK78: ( ( a > a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a_a > a > a > a > a > a ).
thf(func_def_261,type,
sK79: ( ( a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a > a > a > a > a ).
thf(func_def_262,type,
sK80: ( d > carrie1948989069_d_a_e ) > set_d > d ).
thf(func_def_263,type,
sK81: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_264,type,
sK82: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_265,type,
sK83: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_266,type,
sK84: ( d > carrie1105631105xt_a_b ) > set_d > d ).
thf(func_def_267,type,
sK85: ( c > carrie1105631105xt_a_b ) > set_c > c ).
thf(func_def_268,type,
sK86: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_269,type,
sK87: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_270,type,
sK88: ( ( c > d ) > carrie1105631105xt_a_b ) > set_c_d > c > d ).
thf(func_def_271,type,
sK89: ( ( a > a ) > carrie1105631105xt_a_b ) > set_a_a > a > a ).
thf(func_def_272,type,
sK90: ( ( a > a > a ) > carrie1105631105xt_a_b ) > set_a_a_a > a > a > a ).
thf(func_def_273,type,
sK91: ( ( ( c > d ) > c > d ) > carrie1105631105xt_a_b ) > set_c_d_c_d > ( c > d ) > c > d ).
thf(func_def_274,type,
sK92: ( ( a > a > c > d ) > carrie1105631105xt_a_b ) > set_a_a_c_d > a > a > c > d ).
thf(func_def_275,type,
sK93: ( ( a > a > a > a ) > carrie1105631105xt_a_b ) > set_a_a_a_a > a > a > a > a ).
thf(func_def_276,type,
sK94: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_277,type,
sK95: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_278,type,
sK96: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_279,type,
sK97: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_280,type,
sK98: ( a > carrie1105631105xt_a_b ) > set_a > a ).
thf(func_def_281,type,
sK99: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_282,type,
sK100: ( ( ( c > d ) > c > d ) > carrie1948989069_d_a_e ) > set_c_d_c_d > carrie1105631105xt_a_b > ( c > d ) > c > d ).
thf(func_def_283,type,
sK101: ( ( c > d ) > carrie1948989069_d_a_e ) > set_c_d > carrie1105631105xt_a_b > c > d ).
thf(func_def_284,type,
sK102: ( ( a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a > carrie1105631105xt_a_b > a > a > a ).
thf(func_def_285,type,
sK103: ( ( a > a ) > carrie1948989069_d_a_e ) > set_a_a > carrie1105631105xt_a_b > a > a ).
thf(func_def_286,type,
sK104: ( a > carrie1948989069_d_a_e ) > set_a > carrie1105631105xt_a_b > a ).
thf(func_def_287,type,
sK105: ( ( a > a > c > d ) > carrie1948989069_d_a_e ) > set_a_a_c_d > carrie1105631105xt_a_b > a > a > c > d ).
thf(func_def_288,type,
sK106: ( ( a > a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a_a > carrie1105631105xt_a_b > a > a > a > a > a ).
thf(func_def_289,type,
sK107: ( ( a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a > carrie1105631105xt_a_b > a > a > a > a ).
thf(func_def_290,type,
sK108: ( d > carrie1948989069_d_a_e ) > set_d > carrie1105631105xt_a_b > d ).
thf(func_def_291,type,
sK109: ( c > carrie1948989069_d_a_e ) > set_c > carrie1105631105xt_a_b > c ).
thf(func_def_292,type,
sK110: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_293,type,
sK111: set_a ).
thf(func_def_294,type,
sK112: a > set_a ).
thf(func_def_295,type,
sK113: nat > nat > nat ).
thf(func_def_296,type,
sK114: set_a > a ).
thf(func_def_297,type,
sK115: c > d ).
thf(func_def_298,type,
vNOT: $o > $o ).
thf(func_def_299,type,
sK116: set_a > ( a > a > a > a ) > ( a > set_a_a_a ) > a ).
thf(func_def_300,type,
sK117: set_a > ( a > a > a > a > a ) > ( a > set_a_a_a_a ) > a ).
thf(func_def_301,type,
sK118: set_a > ( a > a > c > d ) > ( a > set_a_c_d ) > a ).
thf(func_def_302,type,
sK119: set_a > ( a > a ) > ( a > set_a ) > a ).
thf(func_def_303,type,
sK120: set_a > ( a > a > a ) > ( a > set_a_a ) > a ).
thf(func_def_304,type,
sK121: set_c > ( c > d ) > ( c > set_d ) > c ).
thf(func_def_305,type,
sK122: set_c_d > ( ( c > d ) > c > d ) > ( ( c > d ) > set_c_d ) > c > d ).
thf(func_def_306,type,
sK123: set_a > ( a > c > d ) > ( a > set_c_d ) > a ).
thf(func_def_307,type,
sK124: set_c_d > ( ( c > d ) > ( c > d ) > c > d ) > ( ( c > d ) > set_c_d_c_d ) > c > d ).
thf(func_def_308,type,
sK125: set_a > ( a > a > ( c > d ) > c > d ) > ( a > set_a_c_d_c_d ) > a ).
thf(func_def_309,type,
sK126: c ).
thf(f357,axiom,
( ! [X2: c > d] :
( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ X2 )
= X2 ) )
& ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
& ! [X2: c > d] :
( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ X2 ) @ X2 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) )
& ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [X0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ! [X2: c > d] :
( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [X3: c > d] :
( ( member_c_d @ X3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X2 @ X3 )
= ( prod_p131511076_d_a_e @ i @ m @ X3 @ X2 ) ) ) )
& ! [X2: c > d] :
( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [X3: c > d] :
( ( member_c_d @ X3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [X4: c > d] :
( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X2 @ X3 ) @ X4 )
= ( prod_p131511076_d_a_e @ i @ m @ X2 @ ( prod_p131511076_d_a_e @ i @ m @ X3 @ X4 ) ) ) ) ) )
& ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [X0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [X1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f358,conjecture,
! [X0: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X0 )
| ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
thf(f359,negated_conjecture,
~ ! [X0: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X0 )
| ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
inference(negated_conjecture,[status(cth)],[f358]) ).
thf(f1048,plain,
( ! [X0: c > d] :
( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ X0 )
= X0 ) )
& ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
& ! [X1: c > d] :
( ( member_c_d @ X1 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_z1214987823_d_a_e @ i @ m )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ X1 ) @ X1 ) ) )
& ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [X2: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ! [X3: c > d] :
( ( member_c_d @ X3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [X4: c > d] :
( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X3 @ X4 )
= ( prod_p131511076_d_a_e @ i @ m @ X4 @ X3 ) ) ) )
& ! [X5: c > d] :
( ( member_c_d @ X5 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [X6: c > d] :
( ( member_c_d @ X6 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [X7: c > d] :
( ( member_c_d @ X7 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X5 @ X6 ) @ X7 )
= ( prod_p131511076_d_a_e @ i @ m @ X5 @ ( prod_p131511076_d_a_e @ i @ m @ X6 @ X7 ) ) ) ) ) )
& ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [X8: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [X9: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ),
inference(rectify,[],[f357]) ).
thf(f1049,plain,
( ! [X0: c > d] :
( ( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ X0 )
= X0 ) )
& ( ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
& ! [X1: c > d] :
( ( $true
= ( member_c_d @ X1 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
=> ( ( prod_z1214987823_d_a_e @ i @ m )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ X1 ) @ X1 ) ) )
& ( $true
= ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Y0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ! [X3: c > d] :
( ( ( member_c_d @ X3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ! [X4: c > d] :
( ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X3 @ X4 )
= ( prod_p131511076_d_a_e @ i @ m @ X4 @ X3 ) ) ) )
& ! [X5: c > d] :
( ( $true
= ( member_c_d @ X5 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
=> ! [X6: c > d] :
( ( $true
= ( member_c_d @ X6 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
=> ! [X7: c > d] :
( ( $true
= ( member_c_d @ X7 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X5 @ X6 ) @ X7 )
= ( prod_p131511076_d_a_e @ i @ m @ X5 @ ( prod_p131511076_d_a_e @ i @ m @ X6 @ X7 ) ) ) ) ) )
& ( $true
= ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Y0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Y1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) ),
inference(fool_elimination,[],[f1048]) ).
thf(f1050,plain,
~ ! [X0: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X0 )
| ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
inference(rectify,[],[f359]) ).
thf(f1051,plain,
~ ! [X0: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X0 )
| ( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) ),
inference(fool_elimination,[],[f1050]) ).
thf(f1068,plain,
( ! [X0: c > d] :
( ( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ X0 )
= X0 ) )
& ( ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
& ! [X1: c > d] :
( ( $true
= ( member_c_d @ X1 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
=> ( ( prod_z1214987823_d_a_e @ i @ m )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ X1 ) @ X1 ) ) )
& ( $true
= ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Y0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ! [X2: c > d] :
( ( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ! [X3: c > d] :
( ( ( member_c_d @ X3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X2 @ X3 )
= ( prod_p131511076_d_a_e @ i @ m @ X3 @ X2 ) ) ) )
& ! [X4: c > d] :
( ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ! [X5: c > d] :
( ( $true
= ( member_c_d @ X5 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
=> ! [X6: c > d] :
( ( $true
= ( member_c_d @ X6 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X4 @ X5 ) @ X6 )
= ( prod_p131511076_d_a_e @ i @ m @ X4 @ ( prod_p131511076_d_a_e @ i @ m @ X5 @ X6 ) ) ) ) ) )
& ( $true
= ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Y0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Y1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) ),
inference(rectify,[],[f1049]) ).
thf(f1069,plain,
~ ! [X0: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X0 )
| ( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) ),
inference(flattening,[],[f1051]) ).
thf(f1623,plain,
( ! [X0: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ X0 )
= X0 )
| ( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) )
& ( ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
& ! [X1: c > d] :
( ( ( prod_z1214987823_d_a_e @ i @ m )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ X1 ) @ X1 ) )
| ( $true
!= ( member_c_d @ X1 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ( $true
= ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
@ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Y0: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ! [X2: c > d] :
( ! [X3: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ X2 @ X3 )
= ( prod_p131511076_d_a_e @ i @ m @ X3 @ X2 ) )
| ( ( member_c_d @ X3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) )
| ( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) )
& ! [X4: c > d] :
( ! [X5: c > d] :
( ! [X6: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X4 @ X5 ) @ X6 )
= ( prod_p131511076_d_a_e @ i @ m @ X4 @ ( prod_p131511076_d_a_e @ i @ m @ X5 @ X6 ) ) )
| ( $true
!= ( member_c_d @ X6 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
| ( $true
!= ( member_c_d @ X5 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
| ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) )
& ( $true
= ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
@ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Y0: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [Y1: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) ),
inference(ennf_transformation,[],[f1068]) ).
thf(f1624,plain,
? [X0: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= X0 )
& ( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true ) ),
inference(ennf_transformation,[],[f1069]) ).
thf(f1740,plain,
( ( sK115
!= ( prod_p131511076_d_a_e @ i @ m @ sK115 @ ( prod_z1214987823_d_a_e @ i @ m ) ) )
& ( $true
= ( member_c_d @ sK115 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK115]),skolemize(X0,sK115)],[f1624]) ).
thf(f2220,plain,
! [X2: c > d,X3: c > d] :
( ( ( member_c_d @ X3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true )
| ( ( prod_p131511076_d_a_e @ i @ m @ X2 @ X3 )
= ( prod_p131511076_d_a_e @ i @ m @ X3 @ X2 ) )
| ( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) ),
inference(cnf_transformation,[],[f1623]) ).
thf(f2223,plain,
( ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true ),
inference(cnf_transformation,[],[f1623]) ).
thf(f2224,plain,
! [X0: c > d] :
( ( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true )
| ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ X0 )
= X0 ) ),
inference(cnf_transformation,[],[f1623]) ).
thf(f2225,plain,
( $true
= ( member_c_d @ sK115 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
inference(cnf_transformation,[],[f1740]) ).
thf(f2226,plain,
( sK115
!= ( prod_p131511076_d_a_e @ i @ m @ sK115 @ ( prod_z1214987823_d_a_e @ i @ m ) ) ),
inference(cnf_transformation,[],[f1740]) ).
thf(f2563,plain,
( ( $true != $true )
| ( sK115
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ sK115 ) ) ),
inference(constrained_superposition,[],[f2224,f2225]) ).
thf(f2566,plain,
( sK115
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ sK115 ) ),
inference(trivial_inequality_removal,[],[f2563]) ).
thf(f2627,plain,
! [X0: c > d] :
( ( $true != $true )
| ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ sK115 )
= ( prod_p131511076_d_a_e @ i @ m @ sK115 @ X0 ) )
| ( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) ),
inference(constrained_superposition,[],[f2220,f2225]) ).
thf(f2630,plain,
! [X0: c > d] :
( ( ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true )
| ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ sK115 )
= ( prod_p131511076_d_a_e @ i @ m @ sK115 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f2627]) ).
thf(f2641,plain,
( ( $true != $true )
| ( ( prod_p131511076_d_a_e @ i @ m @ sK115 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ sK115 ) ) ),
inference(constrained_superposition,[],[f2630,f2223]) ).
thf(f2642,plain,
( ( prod_p131511076_d_a_e @ i @ m @ sK115 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ sK115 ) ),
inference(trivial_inequality_removal,[],[f2641]) ).
thf(f2644,plain,
( sK115
= ( prod_p131511076_d_a_e @ i @ m @ sK115 @ ( prod_z1214987823_d_a_e @ i @ m ) ) ),
inference(forward_demodulation,[],[f2642,f2566]) ).
thf(f2645,plain,
$false,
inference(forward_subsumption_resolution,[],[f2644,f2226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP027^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:40:42 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.67/0.43 % (1081754)Will run a generic schedule for satisfiability detection.
% 0.67/0.43 % (1081760)% WARNING: option uhcvi not known.
% 0.67/0.43 % (1081762)dis+10_1_sil=32000:sp=arity:random_seed=123943206:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.67/0.43 % (1081760)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=541768935:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.67/0.43 % (1081761)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1955116357:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.67/0.43 % (1081759)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3890010664_2999 on theBenchmark for (2999ds/0Mi)
% 0.67/0.43 % (1081764)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2338597245:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.67/0.43 % (1081763)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3969681102:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.67/0.43 % (1081765)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1874604522:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.67/0.43 % (1081762)Instruction limit reached!
% 0.67/0.43 % (1081762)------------------------------
% 0.67/0.43 % (1081762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % (1081762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (1081762)CaDiCaL version: 2.1.3
% 0.67/0.43 % (1081762)Termination reason: Instruction limit
% 0.67/0.43 % (1081762)Termination phase: Preprocessing 3
% 0.67/0.43 % (1081762)Time elapsed: 0.023 s
% 0.67/0.43 % (1081762)Peak memory usage: 11 MB
% 0.67/0.43 % (1081762)Instructions burned: 104 (million)
% 0.67/0.43 % (1081773)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2562065722:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.67/0.43 % (1081760)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.67/0.43 % (1081763)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.67/0.43 % (1081764)Instruction limit reached!
% 0.67/0.43 % (1081764)------------------------------
% 0.67/0.43 % (1081764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % (1081764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (1081764)CaDiCaL version: 2.1.3
% 0.67/0.43 % (1081764)Termination reason: Instruction limit
% 0.67/0.43 % (1081764)Termination phase: Property scanning
% 0.67/0.43 % (1081764)Time elapsed: 0.055 s
% 0.67/0.43 % (1081764)Peak memory usage: 12 MB
% 0.67/0.43 % (1081764)Instructions burned: 132 (million)
% 0.67/0.43 % (1081765)Instruction limit reached!
% 0.67/0.43 % (1081765)------------------------------
% 0.67/0.43 % (1081765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % (1081765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (1081765)CaDiCaL version: 2.1.3
% 0.67/0.43 % (1081765)Termination reason: Instruction limit
% 0.67/0.43 % (1081765)Termination phase: Property scanning
% 0.67/0.43 % (1081765)Time elapsed: 0.067 s
% 0.67/0.43 % (1081765)Peak memory usage: 12 MB
% 0.67/0.43 % (1081765)Instructions burned: 161 (million)
% 0.67/0.43 % (1081763)Instruction limit reached!
% 0.67/0.43 % (1081763)------------------------------
% 0.67/0.43 % (1081763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % Exception at run slice level
% 0.67/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.67/0.43 % (1081775)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3878002073:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.67/0.43 % (1081763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (1081763)CaDiCaL version: 2.1.3
% 0.67/0.43 % (1081763)Termination reason: Instruction limit
% 0.67/0.43 % (1081763)Termination phase: Property scanning
% 0.67/0.43 % (1081763)Time elapsed: 0.076 s
% 0.67/0.43 % (1081763)Peak memory usage: 12 MB
% 0.67/0.43 % (1081763)Instructions burned: 125 (million)
% 0.67/0.43 % Exception at run slice level
% 0.67/0.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.67/0.43 % (1081760)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.67/0.43 % (1081785)ott-21_1_sil=16000:fs=off:random_seed=2288151466:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.67/0.43 % (1081781)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=3548084478:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.67/0.43 % (1081786)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3006344562:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.67/0.43 % (1081787)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=137858369:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.67/0.43 % (1081761) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1081754-1081761"...
% 0.67/0.43 % (1081761)...printing done.
% 0.67/0.43 % (1081761)Refutation found. Thanks to Tanya!
% 0.67/0.43 % SZS status Theorem for theBenchmark
% 0.67/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.43 % (1081761)------------------------------
% 0.67/0.43 % (1081761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.43 % (1081761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.43 % (1081761)CaDiCaL version: 2.1.3
% 0.67/0.43 % (1081761)Termination reason: Refutation
% 0.67/0.43 % (1081761)Time elapsed: 0.117 s
% 0.67/0.43 % (1081761)Peak memory usage: 15 MB
% 0.67/0.43 % (1081761)Instructions burned: 268 (million)
% 0.67/0.43 % (1081754)Success in time 0.19 s
% 0.67/0.43 % Vampire exiting
%------------------------------------------------------------------------------