TSTP Solution File: ITP027^1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ITP027^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 09:35:12 EDT 2024
% Result : Theorem 1.93s 0.68s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 201 ( 85 equ; 0 cnn)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 795 ( 29 ~; 20 |; 34 &; 683 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 55 ( 54 usr)
% Number of type conns : 62 ( 62 >; 0 *; 0 +; 0 <<)
% Number of symbols : 239 ( 236 usr; 5 con; 0-7 aty)
% Number of variables : 62 ( 15 ^ 45 !; 2 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
carrie1954260683t_unit: $tType ).
thf(type_def_6,type,
set_c_d: $tType ).
thf(type_def_8,type,
carrie1105631105xt_a_b: $tType ).
thf(type_def_9,type,
set_a: $tType ).
thf(type_def_10,type,
carrie1948989069_d_a_e: $tType ).
thf(type_def_11,type,
set_d: $tType ).
thf(type_def_12,type,
a: $tType ).
thf(type_def_13,type,
c: $tType ).
thf(type_def_14,type,
d: $tType ).
thf(type_def_15,type,
set_a_a: $tType ).
thf(type_def_16,type,
set_c: $tType ).
thf(type_def_17,type,
set_c_d_c_d: $tType ).
thf(type_def_18,type,
set_c_d_c_d_a2: $tType ).
thf(type_def_19,type,
set_c_d_c_d_d: $tType ).
thf(type_def_20,type,
set_a_a_a_a_a: $tType ).
thf(type_def_21,type,
set_a_a_a_a_a_d: $tType ).
thf(type_def_22,type,
set_a_a_a_a: $tType ).
thf(type_def_23,type,
set_a_a_a_a_a3: $tType ).
thf(type_def_24,type,
set_a_a_a_a_d: $tType ).
thf(type_def_25,type,
set_a_a_c_d: $tType ).
thf(type_def_26,type,
set_a_a_c_d_a: $tType ).
thf(type_def_27,type,
set_a_a_c_d_d: $tType ).
thf(type_def_28,type,
set_a_a_a: $tType ).
thf(type_def_29,type,
set_a_a_a_a4: $tType ).
thf(type_def_30,type,
set_a_a_a_d: $tType ).
thf(type_def_31,type,
set_a_a_a2: $tType ).
thf(type_def_32,type,
set_a_a_d: $tType ).
thf(type_def_33,type,
set_c_d_a: $tType ).
thf(type_def_34,type,
set_c_d_d: $tType ).
thf(type_def_35,type,
set_a_c_d: $tType ).
thf(type_def_36,type,
set_a_d: $tType ).
thf(type_def_37,type,
set_c_c_d: $tType ).
thf(type_def_38,type,
set_c_a: $tType ).
thf(type_def_39,type,
set_d_c_d: $tType ).
thf(type_def_40,type,
set_d_a: $tType ).
thf(type_def_41,type,
set_d_d: $tType ).
thf(type_def_42,type,
nat: $tType ).
thf(type_def_43,type,
set_a_a_a_a_a2: $tType ).
thf(type_def_44,type,
set_a_a_a_c_d: $tType ).
thf(type_def_45,type,
set_a_a_a_a3: $tType ).
thf(type_def_46,type,
set_a_a_c_d2: $tType ).
thf(type_def_47,type,
set_c_d_a_a_a2: $tType ).
thf(type_def_48,type,
set_c_d_c_d_c_d: $tType ).
thf(type_def_49,type,
set_c_d_c_d_a: $tType ).
thf(type_def_50,type,
set_c_d_a_a_a: $tType ).
thf(type_def_51,type,
set_c_d_a_a: $tType ).
thf(type_def_52,type,
set_a_a_a_a2: $tType ).
thf(type_def_53,type,
set_a_c_d_a: $tType ).
thf(type_def_54,type,
set_a_c_d_c_d: $tType ).
thf(type_def_55,type,
set_a_a_c_d_c_d: $tType ).
thf(type_def_56,type,
set_a_c: $tType ).
thf(type_def_57,type,
set_c_c: $tType ).
thf(type_def_58,type,
set_d_c: $tType ).
thf(type_def_59,type,
set_nat: $tType ).
thf(func_def_0,type,
carrie1954260683t_unit: $tType ).
thf(func_def_1,type,
carrie1948989069_d_a_e: $tType ).
thf(func_def_2,type,
carrie1105631105xt_a_b: $tType ).
thf(func_def_3,type,
set_a_a_c_d_c_d: $tType ).
thf(func_def_4,type,
set_c_d_c_d_c_d: $tType ).
thf(func_def_5,type,
set_a_a_a_a_a_d: $tType ).
thf(func_def_6,type,
set_a_a_a_a_a: $tType ).
thf(func_def_7,type,
set_a_c_d_c_d: $tType ).
thf(func_def_8,type,
set_c_d_a_a_a: $tType ).
thf(func_def_9,type,
set_c_d_c_d_a: $tType ).
thf(func_def_10,type,
set_c_d_a_a_a2: $tType ).
thf(func_def_11,type,
set_a_a_a_c_d: $tType ).
thf(func_def_12,type,
set_a_a_a_a_a2: $tType ).
thf(func_def_13,type,
set_a_a_c_d_d: $tType ).
thf(func_def_14,type,
set_a_a_c_d_a: $tType ).
thf(func_def_15,type,
set_a_a_a_a_d: $tType ).
thf(func_def_16,type,
set_a_a_a_a_a3: $tType ).
thf(func_def_17,type,
set_c_d_c_d_d: $tType ).
thf(func_def_18,type,
set_c_d_c_d_a2: $tType ).
thf(func_def_19,type,
set_a_a_c_d: $tType ).
thf(func_def_20,type,
set_a_a_a_a: $tType ).
thf(func_def_21,type,
set_a_c_d_a: $tType ).
thf(func_def_22,type,
set_a_a_a_a2: $tType ).
thf(func_def_23,type,
set_c_d_c_d: $tType ).
thf(func_def_24,type,
set_c_d_a_a: $tType ).
thf(func_def_25,type,
set_a_a_c_d2: $tType ).
thf(func_def_26,type,
set_a_a_a_a3: $tType ).
thf(func_def_27,type,
set_a_a_a_d: $tType ).
thf(func_def_28,type,
set_a_a_a_a4: $tType ).
thf(func_def_29,type,
set_d_c_d: $tType ).
thf(func_def_30,type,
set_c_c_d: $tType ).
thf(func_def_31,type,
set_a_c_d: $tType ).
thf(func_def_32,type,
set_a_a_a: $tType ).
thf(func_def_33,type,
set_c_d_d: $tType ).
thf(func_def_34,type,
set_c_d_a: $tType ).
thf(func_def_35,type,
set_a_a_d: $tType ).
thf(func_def_36,type,
set_a_a_a2: $tType ).
thf(func_def_37,type,
set_d_d: $tType ).
thf(func_def_38,type,
set_d_c: $tType ).
thf(func_def_39,type,
set_d_a: $tType ).
thf(func_def_40,type,
set_c_d: $tType ).
thf(func_def_41,type,
set_c_c: $tType ).
thf(func_def_42,type,
set_c_a: $tType ).
thf(func_def_43,type,
set_a_d: $tType ).
thf(func_def_44,type,
set_a_c: $tType ).
thf(func_def_45,type,
set_a_a: $tType ).
thf(func_def_46,type,
set_nat: $tType ).
thf(func_def_47,type,
set_d: $tType ).
thf(func_def_48,type,
set_c: $tType ).
thf(func_def_49,type,
set_a: $tType ).
thf(func_def_50,type,
nat: $tType ).
thf(func_def_51,type,
d: $tType ).
thf(func_def_52,type,
c: $tType ).
thf(func_def_53,type,
a: $tType ).
thf(func_def_54,type,
carrie20288686t_unit: carrie1954260683t_unit > set_c_d ).
thf(func_def_55,type,
carrie867757212xt_a_b: carrie1105631105xt_a_b > set_a ).
thf(func_def_56,type,
carrie11369756_d_a_e: carrie1948989069_d_a_e > set_d ).
thf(func_def_57,type,
j_rad_a_b: carrie1105631105xt_a_b > set_a ).
thf(func_def_58,type,
ring_a_b: carrie1105631105xt_a_b > $o ).
thf(func_def_59,type,
tp_a_b: carrie1105631105xt_a_b > a > a > a ).
thf(func_def_60,type,
un_a_b: carrie1105631105xt_a_b > a ).
thf(func_def_61,type,
sr_a_b: carrie1105631105xt_a_b > set_a > carrie1105631105xt_a_b ).
thf(func_def_62,type,
subring_a_b_b: carrie1105631105xt_a_b > carrie1105631105xt_a_b > $o ).
thf(func_def_63,type,
unit_a_b: carrie1105631105xt_a_b > a > $o ).
thf(func_def_64,type,
aGroup2131905830t_unit: carrie1954260683t_unit > $o ).
thf(func_def_65,type,
aGroup2097840802xt_a_b: carrie1105631105xt_a_b > $o ).
thf(func_def_66,type,
aGroup1940521469_d_a_e: carrie1948989069_d_a_e > $o ).
thf(func_def_67,type,
mop_a_Ring_ext_a_b: carrie1105631105xt_a_b > a > a ).
thf(func_def_68,type,
pop_c_449750139t_unit: carrie1954260683t_unit > ( c > d ) > ( c > d ) > c > d ).
thf(func_def_69,type,
pop_a_Ring_ext_a_b: carrie1105631105xt_a_b > a > a > a ).
thf(func_def_70,type,
pop_d_261713874_d_a_e: carrie1948989069_d_a_e > d > d > d ).
thf(func_def_71,type,
aset_s1743553894xt_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a ).
thf(func_def_72,type,
carr_d267359390xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > set_a_a ).
thf(func_def_73,type,
carr_d56066307_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > set_c_d ).
thf(func_def_74,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_75,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_76,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_77,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_78,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_79,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_80,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_81,type,
carr_p1481099064xt_a_b: set_a_a_a > ( ( a > a > a ) > carrie1105631105xt_a_b ) > set_a_a_a_a4 ).
thf(func_def_82,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_83,type,
carr_p740328767xt_a_b: set_a_a > ( ( a > a ) > carrie1105631105xt_a_b ) > set_a_a_a2 ).
thf(func_def_84,type,
carr_p1646427936_d_a_e: set_a_a > ( ( a > a ) > carrie1948989069_d_a_e ) > set_a_a_d ).
thf(func_def_85,type,
carr_p996491646xt_a_b: set_c_d > ( ( c > d ) > carrie1105631105xt_a_b ) > set_c_d_a ).
thf(func_def_86,type,
carr_p124510241_d_a_e: set_c_d > ( ( c > d ) > carrie1948989069_d_a_e ) > set_c_d_d ).
thf(func_def_87,type,
carr_p923087418t_unit: set_a > ( a > carrie1954260683t_unit ) > set_a_c_d ).
thf(func_def_88,type,
carr_p290614414xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > set_a_a ).
thf(func_def_89,type,
carr_p1084104977_d_a_e: set_a > ( a > carrie1948989069_d_a_e ) > set_a_d ).
thf(func_def_90,type,
carr_p1080792380t_unit: set_c > ( c > carrie1954260683t_unit ) > set_c_c_d ).
thf(func_def_91,type,
carr_p295160588xt_a_b: set_c > ( c > carrie1105631105xt_a_b ) > set_c_a ).
thf(func_def_92,type,
carr_p1636662547_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > set_c_d ).
thf(func_def_93,type,
carr_p1159644861t_unit: set_d > ( d > carrie1954260683t_unit ) > set_d_c_d ).
thf(func_def_94,type,
carr_p297433675xt_a_b: set_d > ( d > carrie1105631105xt_a_b ) > set_d_a ).
thf(func_def_95,type,
carr_p1912941332_d_a_e: set_d > ( d > carrie1948989069_d_a_e ) > set_d_d ).
thf(func_def_96,type,
local_ring_a_b: carrie1105631105xt_a_b > $o ).
thf(func_def_97,type,
maximal_ideal_a_b: carrie1105631105xt_a_b > set_a > $o ).
thf(func_def_98,type,
mul_closed_set_a_b: carrie1105631105xt_a_b > set_a > $o ).
thf(func_def_99,type,
nscal_a_b: carrie1105631105xt_a_b > a > nat > a ).
thf(func_def_100,type,
primary_ideal_a_b: carrie1105631105xt_a_b > set_a > $o ).
thf(func_def_101,type,
prod_m2022989242xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > ( a > a ) > a > a ).
thf(func_def_102,type,
prod_m854557927_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > ( c > d ) > c > d ).
thf(func_def_103,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_104,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_105,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_106,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_107,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_108,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_109,type,
prod_p704341949xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > ( a > a ) > ( a > a ) > a > a ).
thf(func_def_110,type,
prod_p708888123xt_a_b: set_c > ( c > carrie1105631105xt_a_b ) > ( c > a ) > ( c > a ) > c > a ).
thf(func_def_111,type,
prod_p131511076_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > ( c > d ) > ( c > d ) > c > d ).
thf(func_def_112,type,
prod_p711161210xt_a_b: set_d > ( d > carrie1105631105xt_a_b ) > ( d > a ) > ( d > a ) > d > a ).
thf(func_def_113,type,
prod_z851058290xt_a_b: set_a > ( a > carrie1105631105xt_a_b ) > a > a ).
thf(func_def_114,type,
prod_z1214987823_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > c > d ).
thf(func_def_115,type,
sr_a_b2: carrie1105631105xt_a_b > set_a > $o ).
thf(func_def_116,type,
zeroring_a_b: carrie1105631105xt_a_b > $o ).
thf(func_def_117,type,
sum_mult_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a ).
thf(func_def_118,type,
module1440397025unit_b: carrie1954260683t_unit > carrie1105631105xt_a_b > $o ).
thf(func_def_119,type,
module_d_a_e_b: carrie1948989069_d_a_e > carrie1105631105xt_a_b > $o ).
thf(func_def_120,type,
sprod_1929599593t_unit: carrie1954260683t_unit > a > ( c > d ) > c > d ).
thf(func_def_121,type,
sprod_d_a_e: carrie1948989069_d_a_e > a > d > d ).
thf(func_def_122,type,
mHom_a1526663829t_unit: carrie1105631105xt_a_b > carrie1954260683t_unit > carrie1954260683t_unit > set_c_d_c_d ).
thf(func_def_123,type,
mHom_a764575953it_d_e: carrie1105631105xt_a_b > carrie1954260683t_unit > carrie1948989069_d_a_e > set_c_d_d ).
thf(func_def_124,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_125,type,
algebr1968153176_c_d_e: carrie1105631105xt_a_b > set_c > ( c > carrie1948989069_d_a_e ) > carrie1954260683t_unit ).
thf(func_def_126,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_127,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_128,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_129,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_130,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_131,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_132,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_133,type,
algebr2109842362_a_d_e: carrie1105631105xt_a_b > set_a > ( a > carrie1948989069_d_a_e ) > a > ( a > d ) > a > d ).
thf(func_def_134,type,
algebr1697692348_c_d_e: carrie1105631105xt_a_b > set_c > ( c > carrie1948989069_d_a_e ) > a > ( c > d ) > c > d ).
thf(func_def_135,type,
algebr417875517_d_d_e: carrie1105631105xt_a_b > set_d > ( d > carrie1948989069_d_a_e ) > a > ( d > d ) > d > d ).
thf(func_def_136,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_137,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_138,type,
pi_a_a_a_a: set_a_a_a > ( ( a > a > a ) > set_a ) > set_a_a_a_a4 ).
thf(func_def_139,type,
pi_a_a_a_a2: set_a_a > ( ( a > a ) > set_a_a ) > set_a_a_a_a3 ).
thf(func_def_140,type,
pi_a_a_c_d: set_a_a > ( ( a > a ) > set_c_d ) > set_a_a_c_d2 ).
thf(func_def_141,type,
pi_a_a_a: set_a_a > ( ( a > a ) > set_a ) > set_a_a_a2 ).
thf(func_def_142,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_143,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_144,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_145,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_146,type,
pi_c_d_a_a: set_c_d > ( ( c > d ) > set_a_a ) > set_c_d_a_a ).
thf(func_def_147,type,
pi_c_d_c_d: set_c_d > ( ( c > d ) > set_c_d ) > set_c_d_c_d ).
thf(func_def_148,type,
pi_c_d_a: set_c_d > ( ( c > d ) > set_a ) > set_c_d_a ).
thf(func_def_149,type,
pi_a_a_a_a3: set_a > ( a > set_a_a_a2 ) > set_a_a_a_a2 ).
thf(func_def_150,type,
pi_a_c_d_a: set_a > ( a > set_c_d_a ) > set_a_c_d_a ).
thf(func_def_151,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_152,type,
pi_a_a_a_a_a2: set_a > ( a > set_a_a_a_a ) > set_a_a_a_a_a ).
thf(func_def_153,type,
pi_a_a_a_a4: set_a > ( a > set_a_a_a ) > set_a_a_a_a ).
thf(func_def_154,type,
pi_a_a_c_d2: set_a > ( a > set_a_c_d ) > set_a_a_c_d ).
thf(func_def_155,type,
pi_a_a_a2: set_a > ( a > set_a_a ) > set_a_a_a ).
thf(func_def_156,type,
pi_a_c_d: set_a > ( a > set_c_d ) > set_a_c_d ).
thf(func_def_157,type,
pi_a_a: set_a > ( a > set_a ) > set_a_a ).
thf(func_def_158,type,
pi_a_c: set_a > ( a > set_c ) > set_a_c ).
thf(func_def_159,type,
pi_a_d: set_a > ( a > set_d ) > set_a_d ).
thf(func_def_160,type,
pi_c_a: set_c > ( c > set_a ) > set_c_a ).
thf(func_def_161,type,
pi_c_c: set_c > ( c > set_c ) > set_c_c ).
thf(func_def_162,type,
pi_c_d: set_c > ( c > set_d ) > set_c_d ).
thf(func_def_163,type,
pi_d_a: set_d > ( d > set_a ) > set_d_a ).
thf(func_def_164,type,
pi_d_c: set_d > ( d > set_c ) > set_d_c ).
thf(func_def_165,type,
pi_d_d: set_d > ( d > set_d ) > set_d_d ).
thf(func_def_166,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_167,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_168,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_169,type,
collect_c_d_c_d: ( ( ( c > d ) > c > d ) > $o ) > set_c_d_c_d ).
thf(func_def_170,type,
collect_a_a_a_a: ( ( a > a > a > a ) > $o ) > set_a_a_a_a ).
thf(func_def_171,type,
collect_a_a_c_d: ( ( a > a > c > d ) > $o ) > set_a_a_c_d ).
thf(func_def_172,type,
collect_a_a_a: ( ( a > a > a ) > $o ) > set_a_a_a ).
thf(func_def_173,type,
collect_a_a: ( ( a > a ) > $o ) > set_a_a ).
thf(func_def_174,type,
collect_c_d: ( ( c > d ) > $o ) > set_c_d ).
thf(func_def_175,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_176,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_177,type,
collect_c: ( c > $o ) > set_c ).
thf(func_def_178,type,
collect_d: ( d > $o ) > set_d ).
thf(func_def_179,type,
member_c_d_c_d_a: ( ( ( c > d ) > c > d ) > a ) > set_c_d_c_d_a2 > $o ).
thf(func_def_180,type,
member_c_d_c_d_d: ( ( ( c > d ) > c > d ) > d ) > set_c_d_c_d_d > $o ).
thf(func_def_181,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_182,type,
member_a_a_a_a_a: ( ( a > a > a > a ) > a ) > set_a_a_a_a_a3 > $o ).
thf(func_def_183,type,
member_a_a_a_a_d: ( ( a > a > a > a ) > d ) > set_a_a_a_a_d > $o ).
thf(func_def_184,type,
member_a_a_c_d_a: ( ( a > a > c > d ) > a ) > set_a_a_c_d_a > $o ).
thf(func_def_185,type,
member_a_a_c_d_d: ( ( a > a > c > d ) > d ) > set_a_a_c_d_d > $o ).
thf(func_def_186,type,
member_a_a_a_a_a2: ( ( a > a > a ) > a > a ) > set_a_a_a_a_a2 > $o ).
thf(func_def_187,type,
member_a_a_a_c_d: ( ( a > a > a ) > c > d ) > set_a_a_a_c_d > $o ).
thf(func_def_188,type,
member_a_a_a_a: ( ( a > a > a ) > a ) > set_a_a_a_a4 > $o ).
thf(func_def_189,type,
member_a_a_a_d: ( ( a > a > a ) > d ) > set_a_a_a_d > $o ).
thf(func_def_190,type,
member_a_a_a_a2: ( ( a > a ) > a > a ) > set_a_a_a_a3 > $o ).
thf(func_def_191,type,
member_a_a_c_d: ( ( a > a ) > c > d ) > set_a_a_c_d2 > $o ).
thf(func_def_192,type,
member_a_a_a: ( ( a > a ) > a ) > set_a_a_a2 > $o ).
thf(func_def_193,type,
member_a_a_d: ( ( a > a ) > d ) > set_a_a_d > $o ).
thf(func_def_194,type,
member_c_d_a_a_a: ( ( c > d ) > ( a > a ) > a ) > set_c_d_a_a_a2 > $o ).
thf(func_def_195,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_196,type,
member_c_d_c_d_a2: ( ( c > d ) > ( c > d ) > a ) > set_c_d_c_d_a > $o ).
thf(func_def_197,type,
member_c_d_a_a_a2: ( ( c > d ) > a > a > a ) > set_c_d_a_a_a > $o ).
thf(func_def_198,type,
member_c_d_a_a: ( ( c > d ) > a > a ) > set_c_d_a_a > $o ).
thf(func_def_199,type,
member_c_d_c_d: ( ( c > d ) > c > d ) > set_c_d_c_d > $o ).
thf(func_def_200,type,
member_c_d_a: ( ( c > d ) > a ) > set_c_d_a > $o ).
thf(func_def_201,type,
member_c_d_d: ( ( c > d ) > d ) > set_c_d_d > $o ).
thf(func_def_202,type,
member_a_a_a_a3: ( a > ( a > a ) > a ) > set_a_a_a_a2 > $o ).
thf(func_def_203,type,
member_a_c_d_c_d: ( a > ( c > d ) > c > d ) > set_a_c_d_c_d > $o ).
thf(func_def_204,type,
member_a_c_d_a: ( a > ( c > d ) > a ) > set_a_c_d_a > $o ).
thf(func_def_205,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_206,type,
member_a_a_a_a_a3: ( a > a > a > a > a ) > set_a_a_a_a_a > $o ).
thf(func_def_207,type,
member_a_a_a_a4: ( a > a > a > a ) > set_a_a_a_a > $o ).
thf(func_def_208,type,
member_a_a_c_d2: ( a > a > c > d ) > set_a_a_c_d > $o ).
thf(func_def_209,type,
member_a_a_a2: ( a > a > a ) > set_a_a_a > $o ).
thf(func_def_210,type,
member_a_c_d: ( a > c > d ) > set_a_c_d > $o ).
thf(func_def_211,type,
member_a_a: ( a > a ) > set_a_a > $o ).
thf(func_def_212,type,
member_a_c: ( a > c ) > set_a_c > $o ).
thf(func_def_213,type,
member_a_d: ( a > d ) > set_a_d > $o ).
thf(func_def_214,type,
member_c_c_d: ( c > c > d ) > set_c_c_d > $o ).
thf(func_def_215,type,
member_c_a: ( c > a ) > set_c_a > $o ).
thf(func_def_216,type,
member_c_c: ( c > c ) > set_c_c > $o ).
thf(func_def_217,type,
member_c_d: ( c > d ) > set_c_d > $o ).
thf(func_def_218,type,
member_d_c_d: ( d > c > d ) > set_d_c_d > $o ).
thf(func_def_219,type,
member_d_a: ( d > a ) > set_d_a > $o ).
thf(func_def_220,type,
member_d_c: ( d > c ) > set_d_c > $o ).
thf(func_def_221,type,
member_d_d: ( d > d ) > set_d_d > $o ).
thf(func_def_222,type,
member_nat: nat > set_nat > $o ).
thf(func_def_223,type,
member_a: a > set_a > $o ).
thf(func_def_224,type,
member_c: c > set_c > $o ).
thf(func_def_225,type,
member_d: d > set_d > $o ).
thf(func_def_226,type,
i: set_c ).
thf(func_def_227,type,
m: c > carrie1948989069_d_a_e ).
thf(func_def_228,type,
r: carrie1105631105xt_a_b ).
thf(func_def_236,type,
sK0: carrie1105631105xt_a_b > ( a > carrie1948989069_d_a_e ) > set_a > a ).
thf(func_def_237,type,
sK1: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_238,type,
sK2: set_c_d > ( ( c > d ) > c > d ) > set_c_d > c > d ).
thf(func_def_239,type,
sK3: carrie1105631105xt_a_b > set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1948989069_d_a_e ) > ( c > d ) > c > d ).
thf(func_def_240,type,
sK4: set_a_a_a_a_a > carrie1105631105xt_a_b > ( ( a > a > a > a > a ) > carrie1948989069_d_a_e ) > a > a > a > a > a ).
thf(func_def_241,type,
sK5: set_c > ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_242,type,
sK6: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_243,type,
sK7: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_244,type,
sK8: ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_245,type,
sK9: c > d ).
thf(func_def_246,type,
sK10: carrie1105631105xt_a_b > ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_247,type,
sK11: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_248,type,
sK12: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_249,type,
sK13: set_c > ( c > d ) > ( c > d ) > c ).
thf(func_def_250,type,
sK14: set_c > carrie1105631105xt_a_b > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_251,type,
sK15: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_252,type,
sK16: ( ( a > a ) > carrie1948989069_d_a_e ) > set_a_a > a > a ).
thf(func_def_253,type,
sK17: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_254,type,
sK18: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_255,type,
sK19: set_c > ( c > d ) > ( c > d ) > c ).
thf(func_def_256,type,
sK20: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_257,type,
sK21: ( ( a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a > carrie1105631105xt_a_b > a > a > a ).
thf(func_def_258,type,
sK22: set_a_a_a_a > carrie1105631105xt_a_b > ( ( a > a > a > a ) > carrie1948989069_d_a_e ) > a > a > a > a ).
thf(func_def_259,type,
sK23: ( d > carrie1948989069_d_a_e ) > carrie1105631105xt_a_b > set_d > d ).
thf(func_def_260,type,
sK24: set_c > carrie1105631105xt_a_b > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_261,type,
sK25: ( ( a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a > a > a > a ).
thf(func_def_262,type,
sK26: carrie1105631105xt_a_b > set_a_a > ( ( a > a ) > carrie1948989069_d_a_e ) > a > a ).
thf(func_def_263,type,
sK27: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_264,type,
sK28: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_265,type,
sK29: set_a_a_c_d > carrie1105631105xt_a_b > ( ( a > a > c > d ) > carrie1948989069_d_a_e ) > a > a > c > d ).
thf(func_def_266,type,
sK30: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_267,type,
sK31: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_268,type,
sK32: set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1105631105xt_a_b ) > ( c > d ) > c > d ).
thf(func_def_269,type,
sK33: ( c > carrie1948989069_d_a_e ) > set_c > carrie1105631105xt_a_b > c ).
thf(func_def_270,type,
sK34: set_a > ( a > carrie1948989069_d_a_e ) > a ).
thf(func_def_271,type,
sK35: set_c_d_c_d > ( ( ( c > d ) > c > d ) > carrie1948989069_d_a_e ) > ( c > d ) > c > d ).
thf(func_def_272,type,
sK36: ( ( c > d ) > carrie1948989069_d_a_e ) > set_c_d > c > d ).
thf(func_def_273,type,
sK37: ( ( c > d ) > c > d ) > set_c_d > ( ( c > d ) > c > d ) > c > d ).
thf(func_def_274,type,
sK38: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_275,type,
sK39: ( ( a > a > c > d ) > carrie1948989069_d_a_e ) > set_a_a_c_d > a > a > c > d ).
thf(func_def_276,type,
sK40: ( ( a > a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a_a > a > a > a > a > a ).
thf(func_def_277,type,
sK41: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_278,type,
sK42: ( c > carrie1948989069_d_a_e ) > set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_279,type,
sK43: ( ( c > d ) > c > d ) > ( ( c > d ) > set_c_d ) > set_c_d > c > d ).
thf(func_def_280,type,
sK44: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_281,type,
sK45: set_c_d > ( ( c > d ) > ( c > d ) > c > d ) > ( ( c > d ) > ( c > d ) > c > d ) > c > d ).
thf(func_def_282,type,
sK46: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_283,type,
sK47: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_284,type,
sK48: ( c > d ) > set_c > ( c > d ) > c ).
thf(func_def_285,type,
sK49: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_286,type,
sK50: set_c > ( c > carrie1948989069_d_a_e ) > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_287,type,
sK51: carrie1105631105xt_a_b > ( ( c > d ) > carrie1948989069_d_a_e ) > set_c_d > c > d ).
thf(func_def_288,type,
sK52: ( ( a > a > a > a ) > carrie1948989069_d_a_e ) > set_a_a_a_a > a > a > a > a ).
thf(func_def_289,type,
sK53: set_c > ( c > carrie1948989069_d_a_e ) > c ).
thf(func_def_290,type,
sK54: set_d > ( d > carrie1948989069_d_a_e ) > d ).
thf(func_def_291,type,
sK55: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_292,type,
sK56: ( c > carrie1948989069_d_a_e ) > set_c > c ).
thf(func_def_294,type,
sK58: ( ( c > d ) > set_c_d_c_d ) > set_c_d > ( ( c > d ) > ( c > d ) > c > d ) > c > d ).
thf(func_def_295,type,
sK59: ( ( c > d ) > c > d ) > set_c_d > ( ( c > d ) > set_c_d ) > c > d ).
thf(func_def_296,type,
ph60:
!>[X0: $tType] : X0 ).
thf(func_def_298,type,
sK61: c ).
thf(f1802,plain,
$false,
inference(subsumption_resolution,[],[f1801,f1305]) ).
thf(f1305,plain,
( ( prod_p131511076_d_a_e @ i @ m @ sK9 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= sK9 ),
inference(cnf_transformation,[],[f1192]) ).
thf(f1192,plain,
( ( ( member_c_d @ sK9 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
& ( ( prod_p131511076_d_a_e @ i @ m @ sK9 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= sK9 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f1145,f1191]) ).
thf(f1191,plain,
( ? [X0: c > d] :
( ( $true
= ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= X0 ) )
=> ( ( ( member_c_d @ sK9 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
& ( ( prod_p131511076_d_a_e @ i @ m @ sK9 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= sK9 ) ) ),
introduced(choice_axiom,[]) ).
thf(f1145,plain,
? [X0: c > d] :
( ( $true
= ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
!= X0 ) ),
inference(ennf_transformation,[],[f1054]) ).
thf(f1054,plain,
~ ! [X0: c > d] :
( ( $true
!= ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X0 ) ),
inference(flattening,[],[f542]) ).
thf(f542,plain,
~ ! [X0: c > d] :
( ( $true
!= ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X0 ) ),
inference(fool_elimination,[],[f541]) ).
thf(f541,plain,
~ ! [X0: c > d] :
( ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X0 ) ),
inference(rectify,[],[f359]) ).
thf(f359,negated_conjecture,
~ ! [X53: c > d] :
( ~ ( member_c_d @ X53 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ X53 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X53 ) ),
inference(negated_conjecture,[],[f358]) ).
thf(f358,conjecture,
! [X53: c > d] :
( ~ ( member_c_d @ X53 @ ( carr_p1636662547_d_a_e @ i @ m ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ X53 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= X53 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
thf(f1801,plain,
( ( prod_p131511076_d_a_e @ i @ m @ sK9 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= sK9 ),
inference(forward_demodulation,[],[f1798,f1490]) ).
thf(f1490,plain,
( sK9
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ sK9 ) ),
inference(trivial_inequality_removal,[],[f1489]) ).
thf(f1489,plain,
( ( $true != $true )
| ( sK9
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ sK9 ) ) ),
inference(superposition,[],[f1358,f1306]) ).
thf(f1306,plain,
( ( member_c_d @ sK9 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true ),
inference(cnf_transformation,[],[f1192]) ).
thf(f1358,plain,
! [X0: c > d] :
( ( $true
!= ( 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 ) ),
inference(cnf_transformation,[],[f1098]) ).
thf(f1098,plain,
( ( ( 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 ) ) ) )
= $true )
& ( ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( 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 ) ) )
= $true )
& ! [X0: c > d] :
( ( $true
!= ( 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 ) )
& ! [X1: c > d] :
( ( $true
!= ( member_c_d @ X1 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
| ! [X2: c > d] :
( ( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true )
| ( ( prod_p131511076_d_a_e @ i @ m @ X1 @ X2 )
= ( prod_p131511076_d_a_e @ i @ m @ X2 @ X1 ) ) ) )
& ! [X3: c > d] :
( ( ( member_c_d @ X3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true )
| ! [X4: c > d] :
( ! [X5: c > d] :
( ( ( prod_p131511076_d_a_e @ i @ m @ X3 @ ( prod_p131511076_d_a_e @ i @ m @ X4 @ X5 ) )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X3 @ X4 ) @ X5 ) )
| ( ( member_c_d @ X5 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) )
| ( ( member_c_d @ X4 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) ) )
& ! [X6: c > d] :
( ( ( member_c_d @ X6 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true )
| ( ( prod_z1214987823_d_a_e @ i @ m )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ X6 ) @ X6 ) ) ) ),
inference(ennf_transformation,[],[f1053]) ).
thf(f1053,plain,
( ( ( 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 ) ) )
= $true )
& ! [X0: c > d] :
( ( $true
= ( 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 ) )
& ! [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 )
=> ! [X5: c > d] :
( ( ( member_c_d @ X5 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X3 @ ( prod_p131511076_d_a_e @ i @ m @ X4 @ X5 ) )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X3 @ X4 ) @ X5 ) ) ) ) )
& ( ( 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 ) ) ) )
= $true )
& ( ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
& ! [X6: c > d] :
( ( ( member_c_d @ X6 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_z1214987823_d_a_e @ i @ m )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ X6 ) @ X6 ) ) )
& ! [X1: c > d] :
( ( $true
= ( member_c_d @ X1 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
=> ! [X2: c > d] :
( ( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X1 @ X2 )
= ( prod_p131511076_d_a_e @ i @ m @ X2 @ X1 ) ) ) ) ),
inference(rectify,[],[f504]) ).
thf(f504,plain,
( ! [X0: c > d] :
( ( $true
= ( 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 ) )
& ! [X1: c > d] :
( ( $true
= ( member_c_d @ X1 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
=> ! [X2: c > d] :
( ( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X1 @ X2 )
= ( prod_p131511076_d_a_e @ i @ m @ X2 @ X1 ) ) ) )
& ! [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 )
=> ! [X5: c > d] :
( ( ( member_c_d @ X5 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X3 @ ( prod_p131511076_d_a_e @ i @ m @ X4 @ X5 ) )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X3 @ X4 ) @ X5 ) ) ) ) )
& ( ( 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 ) ) ) )
= $true )
& ( ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( 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 ) ) )
= $true )
& ! [X9: c > d] :
( ( ( member_c_d @ X9 @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true )
=> ( ( prod_z1214987823_d_a_e @ i @ m )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ X9 ) @ X9 ) ) ) ),
inference(fool_elimination,[],[f503]) ).
thf(f503,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 ) )
& ! [X1: c > d] :
( ( member_c_d @ X1 @ ( 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 @ X1 @ X2 )
= ( prod_p131511076_d_a_e @ i @ m @ X2 @ X1 ) ) ) )
& ! [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 ) )
=> ! [X5: c > d] :
( ( member_c_d @ X5 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X3 @ ( prod_p131511076_d_a_e @ i @ m @ X4 @ X5 ) )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X3 @ X4 ) @ X5 ) ) ) ) )
& ( 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 )
@ ^ [X6: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [X7: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_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 )
@ ^ [X8: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ! [X9: c > d] :
( ( member_c_d @ X9 @ ( 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 @ X9 ) @ X9 ) ) ) ),
inference(rectify,[],[f357]) ).
thf(f357,axiom,
( ! [X50: c > d] :
( ( member_c_d @ X50 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ X50 )
= X50 ) )
& ! [X50: c > d] :
( ( member_c_d @ X50 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [X51: c > d] :
( ( member_c_d @ X51 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ X50 @ X51 )
= ( prod_p131511076_d_a_e @ i @ m @ X51 @ X50 ) ) ) )
& ! [X50: c > d] :
( ( member_c_d @ X50 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [X51: c > d] :
( ( member_c_d @ X51 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ! [X52: c > d] :
( ( member_c_d @ X52 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ X50 @ X51 ) @ X52 )
= ( prod_p131511076_d_a_e @ i @ m @ X50 @ ( prod_p131511076_d_a_e @ i @ m @ X51 @ X52 ) ) ) ) ) )
& ( 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 )
@ ^ [X5: c > d] :
( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
@ ^ [X6: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) )
& ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_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 )
@ ^ [X5: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
& ! [X50: c > d] :
( ( member_c_d @ X50 @ ( carr_p1636662547_d_a_e @ i @ m ) )
=> ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ X50 ) @ X50 )
= ( prod_z1214987823_d_a_e @ i @ m ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f1798,plain,
( ( prod_p131511076_d_a_e @ i @ m @ sK9 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ sK9 ) ),
inference(trivial_inequality_removal,[],[f1788]) ).
thf(f1788,plain,
( ( ( prod_p131511076_d_a_e @ i @ m @ sK9 @ ( prod_z1214987823_d_a_e @ i @ m ) )
= ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ sK9 ) )
| ( $true != $true ) ),
inference(superposition,[],[f1507,f1360]) ).
thf(f1360,plain,
( ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
= $true ),
inference(cnf_transformation,[],[f1098]) ).
thf(f1507,plain,
! [X0: c > d] :
( ( $true
!= ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ sK9 )
= ( prod_p131511076_d_a_e @ i @ m @ sK9 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1505]) ).
thf(f1505,plain,
! [X0: c > d] :
( ( $true
!= ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ sK9 )
= ( prod_p131511076_d_a_e @ i @ m @ sK9 @ X0 ) )
| ( $true != $true ) ),
inference(superposition,[],[f1357,f1306]) ).
thf(f1357,plain,
! [X2: c > d,X1: c > d] :
( ( $true
!= ( member_c_d @ X1 @ ( carr_p1636662547_d_a_e @ i @ m ) ) )
| ( ( prod_p131511076_d_a_e @ i @ m @ X1 @ X2 )
= ( prod_p131511076_d_a_e @ i @ m @ X2 @ X1 ) )
| ( ( member_c_d @ X2 @ ( carr_p1636662547_d_a_e @ i @ m ) )
!= $true ) ),
inference(cnf_transformation,[],[f1098]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP027^1 : TPTP v8.2.0. Released v7.5.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 22:31:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.35 This is a TH0_THM_EQU_NAR problem
% 0.20/0.36 Running higher-order theorem proving
% 0.20/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.20/0.41 % (16896)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.41 % (16899)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.41 % (16897)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.41 % (16898)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.20/0.41 % (16900)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.41 % (16901)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.20/0.41 % (16902)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.42 % (16899)Instruction limit reached!
% 0.20/0.42 % (16899)------------------------------
% 0.20/0.42 % (16899)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (16899)Termination reason: Unknown
% 0.20/0.42 % (16899)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (16899)Memory used [KB]: 1791
% 0.20/0.42 % (16899)Time elapsed: 0.005 s
% 0.20/0.42 % (16899)Instructions burned: 3 (million)
% 0.20/0.42 % (16899)------------------------------
% 0.20/0.42 % (16899)------------------------------
% 0.20/0.42 % (16900)Instruction limit reached!
% 0.20/0.42 % (16900)------------------------------
% 0.20/0.42 % (16900)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (16900)Termination reason: Unknown
% 0.20/0.42 % (16900)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (16900)Memory used [KB]: 1791
% 0.20/0.42 % (16900)Time elapsed: 0.005 s
% 0.20/0.42 % (16900)Instructions burned: 3 (million)
% 0.20/0.42 % (16900)------------------------------
% 0.20/0.42 % (16900)------------------------------
% 0.20/0.42 % (16897)Instruction limit reached!
% 0.20/0.42 % (16897)------------------------------
% 0.20/0.42 % (16897)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (16897)Termination reason: Unknown
% 0.20/0.42 % (16897)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (16897)Memory used [KB]: 1918
% 0.20/0.42 % (16897)Time elapsed: 0.005 s
% 0.20/0.42 % (16897)Instructions burned: 5 (million)
% 0.20/0.42 % (16897)------------------------------
% 0.20/0.42 % (16897)------------------------------
% 0.20/0.43 % (16902)Instruction limit reached!
% 0.20/0.43 % (16902)------------------------------
% 0.20/0.43 % (16902)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (16902)Termination reason: Unknown
% 0.20/0.43 % (16902)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (16902)Memory used [KB]: 2046
% 0.20/0.43 % (16902)Time elapsed: 0.014 s
% 0.20/0.43 % (16902)Instructions burned: 18 (million)
% 0.20/0.43 % (16902)------------------------------
% 0.20/0.43 % (16902)------------------------------
% 0.21/0.43 % (16898)Instruction limit reached!
% 0.21/0.43 % (16898)------------------------------
% 0.21/0.43 % (16898)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (16898)Termination reason: Unknown
% 0.21/0.43 % (16898)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (16898)Memory used [KB]: 2302
% 0.21/0.43 % (16898)Time elapsed: 0.020 s
% 0.21/0.43 % (16898)Instructions burned: 27 (million)
% 0.21/0.43 % (16898)------------------------------
% 0.21/0.43 % (16898)------------------------------
% 0.21/0.43 % (16903)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (16904)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.43 % (16905)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.43 % (16903)Instruction limit reached!
% 0.21/0.43 % (16903)------------------------------
% 0.21/0.43 % (16903)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (16903)Termination reason: Unknown
% 0.21/0.43 % (16903)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (16903)Memory used [KB]: 1791
% 0.21/0.43 % (16903)Time elapsed: 0.005 s
% 0.21/0.43 % (16903)Instructions burned: 3 (million)
% 0.21/0.43 % (16903)------------------------------
% 0.21/0.43 % (16903)------------------------------
% 0.21/0.44 % (16906)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (16907)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.44 % (16905)Instruction limit reached!
% 0.21/0.44 % (16905)------------------------------
% 0.21/0.44 % (16905)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (16905)Termination reason: Unknown
% 0.21/0.44 % (16905)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (16905)Memory used [KB]: 2046
% 0.21/0.44 % (16905)Time elapsed: 0.013 s
% 0.21/0.44 % (16905)Instructions burned: 15 (million)
% 0.21/0.44 % (16905)------------------------------
% 0.21/0.44 % (16905)------------------------------
% 0.21/0.44 % (16906)Instruction limit reached!
% 0.21/0.44 % (16906)------------------------------
% 0.21/0.44 % (16906)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (16906)Termination reason: Unknown
% 0.21/0.44 % (16906)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (16906)Memory used [KB]: 1791
% 0.21/0.44 % (16906)Time elapsed: 0.005 s
% 0.21/0.44 % (16906)Instructions burned: 3 (million)
% 0.21/0.44 % (16906)------------------------------
% 0.21/0.44 % (16906)------------------------------
% 0.21/0.45 % (16908)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.45 % (16904)Instruction limit reached!
% 0.21/0.45 % (16904)------------------------------
% 0.21/0.45 % (16904)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (16904)Termination reason: Unknown
% 0.21/0.45 % (16904)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (16904)Memory used [KB]: 2686
% 0.21/0.45 % (16904)Time elapsed: 0.023 s
% 0.21/0.45 % (16904)Instructions burned: 38 (million)
% 0.21/0.45 % (16904)------------------------------
% 0.21/0.45 % (16904)------------------------------
% 0.21/0.46 % (16908)Instruction limit reached!
% 0.21/0.46 % (16908)------------------------------
% 0.21/0.46 % (16908)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (16908)Termination reason: Unknown
% 0.21/0.46 % (16908)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (16908)Memory used [KB]: 1918
% 0.21/0.46 % (16908)Time elapsed: 0.007 s
% 0.21/0.46 % (16908)Instructions burned: 7 (million)
% 0.21/0.46 % (16908)------------------------------
% 0.21/0.46 % (16908)------------------------------
% 0.21/0.46 % (16909)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.46 % (16910)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.46 % (16910)Instruction limit reached!
% 0.21/0.46 % (16910)------------------------------
% 0.21/0.46 % (16910)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (16910)Termination reason: Unknown
% 0.21/0.46 % (16910)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (16910)Memory used [KB]: 1791
% 0.21/0.46 % (16910)Time elapsed: 0.005 s
% 0.21/0.46 % (16910)Instructions burned: 3 (million)
% 0.21/0.46 % (16910)------------------------------
% 0.21/0.46 % (16910)------------------------------
% 0.21/0.47 % (16911)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.47 % (16909)Instruction limit reached!
% 0.21/0.47 % (16909)------------------------------
% 0.21/0.47 % (16909)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (16909)Termination reason: Unknown
% 0.21/0.47 % (16909)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (16909)Memory used [KB]: 2046
% 0.21/0.47 % (16909)Time elapsed: 0.013 s
% 0.21/0.47 % (16909)Instructions burned: 16 (million)
% 0.21/0.47 % (16909)------------------------------
% 0.21/0.47 % (16909)------------------------------
% 0.21/0.47 % (16912)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.47 % (16911)Instruction limit reached!
% 0.21/0.47 % (16911)------------------------------
% 0.21/0.47 % (16911)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (16911)Termination reason: Unknown
% 0.21/0.47 % (16911)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (16911)Memory used [KB]: 1791
% 0.21/0.47 % (16911)Time elapsed: 0.005 s
% 0.21/0.47 % (16911)Instructions burned: 3 (million)
% 0.21/0.47 % (16911)------------------------------
% 0.21/0.47 % (16911)------------------------------
% 0.21/0.48 % (16912)Instruction limit reached!
% 0.21/0.48 % (16912)------------------------------
% 0.21/0.48 % (16912)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (16912)Termination reason: Unknown
% 0.21/0.48 % (16912)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (16912)Memory used [KB]: 1918
% 0.21/0.48 % (16912)Time elapsed: 0.007 s
% 0.21/0.48 % (16912)Instructions burned: 7 (million)
% 0.21/0.48 % (16912)------------------------------
% 0.21/0.48 % (16912)------------------------------
% 0.21/0.48 % (16913)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.48 % (16913)Instruction limit reached!
% 0.21/0.48 % (16913)------------------------------
% 0.21/0.48 % (16913)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (16913)Termination reason: Unknown
% 0.21/0.48 % (16913)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (16913)Memory used [KB]: 1791
% 0.21/0.48 % (16913)Time elapsed: 0.005 s
% 0.21/0.48 % (16913)Instructions burned: 4 (million)
% 0.21/0.48 % (16913)------------------------------
% 0.21/0.48 % (16913)------------------------------
% 0.21/0.49 % (16914)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.21/0.49 % (16915)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.21/0.49 % (16914)Instruction limit reached!
% 0.21/0.49 % (16914)------------------------------
% 0.21/0.49 % (16914)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (16914)Termination reason: Unknown
% 0.21/0.49 % (16914)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (16914)Memory used [KB]: 1791
% 0.21/0.49 % (16914)Time elapsed: 0.006 s
% 0.21/0.49 % (16914)Instructions burned: 5 (million)
% 0.21/0.49 % (16914)------------------------------
% 0.21/0.49 % (16914)------------------------------
% 0.21/0.49 % (16916)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.21/0.50 % (16917)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.21/0.50 % (16915)Instruction limit reached!
% 0.21/0.50 % (16915)------------------------------
% 0.21/0.50 % (16915)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50 % (16915)Termination reason: Unknown
% 0.21/0.50 % (16915)Termination phase: shuffling
% 0.21/0.50
% 0.21/0.50 % (16915)Memory used [KB]: 2046
% 0.21/0.50 % (16915)Time elapsed: 0.013 s
% 0.21/0.50 % (16915)Instructions burned: 18 (million)
% 0.21/0.50 % (16915)------------------------------
% 0.21/0.50 % (16915)------------------------------
% 0.21/0.50 % (16917)Instruction limit reached!
% 0.21/0.50 % (16917)------------------------------
% 0.21/0.50 % (16917)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50 % (16917)Termination reason: Unknown
% 0.21/0.50 % (16917)Termination phase: shuffling
% 0.21/0.50
% 0.21/0.50 % (16917)Memory used [KB]: 1918
% 0.21/0.50 % (16917)Time elapsed: 0.005 s
% 0.21/0.50 % (16917)Instructions burned: 6 (million)
% 0.21/0.50 % (16917)------------------------------
% 0.21/0.50 % (16917)------------------------------
% 0.21/0.50 % (16918)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2998ds/902Mi)
% 0.21/0.51 % (16896)Instruction limit reached!
% 0.21/0.51 % (16896)------------------------------
% 0.21/0.51 % (16896)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.51 % (16896)Termination reason: Unknown
% 0.21/0.51 % (16896)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (16896)Memory used [KB]: 7803
% 0.21/0.51 % (16896)Time elapsed: 0.096 s
% 0.21/0.51 % (16896)Instructions burned: 184 (million)
% 0.21/0.51 % (16896)------------------------------
% 0.21/0.51 % (16896)------------------------------
% 0.21/0.51 % (16919)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.21/0.51 % (16920)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.21/0.51 % (16920)Instruction limit reached!
% 0.21/0.51 % (16920)------------------------------
% 0.21/0.51 % (16920)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.51 % (16920)Termination reason: Unknown
% 0.21/0.51 % (16920)Termination phase: shuffling
% 0.21/0.51
% 0.21/0.51 % (16920)Memory used [KB]: 1918
% 0.21/0.51 % (16920)Time elapsed: 0.004 s
% 0.21/0.51 % (16920)Instructions burned: 7 (million)
% 0.21/0.51 % (16920)------------------------------
% 0.21/0.51 % (16920)------------------------------
% 0.21/0.52 % (16919)Instruction limit reached!
% 0.21/0.52 % (16919)------------------------------
% 0.21/0.52 % (16919)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (16919)Termination reason: Unknown
% 0.21/0.52 % (16919)Termination phase: shuffling
% 0.21/0.52
% 0.21/0.52 % (16919)Memory used [KB]: 2046
% 0.21/0.52 % (16919)Time elapsed: 0.009 s
% 0.21/0.52 % (16919)Instructions burned: 21 (million)
% 0.21/0.52 % (16919)------------------------------
% 0.21/0.52 % (16919)------------------------------
% 0.21/0.52 % (16921)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.21/0.52 % (16921)Instruction limit reached!
% 0.21/0.52 % (16921)------------------------------
% 0.21/0.52 % (16921)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (16921)Termination reason: Unknown
% 0.21/0.52 % (16921)Termination phase: shuffling
% 0.21/0.52
% 0.21/0.52 % (16921)Memory used [KB]: 1918
% 0.21/0.52 % (16921)Time elapsed: 0.004 s
% 0.21/0.52 % (16921)Instructions burned: 6 (million)
% 0.21/0.52 % (16921)------------------------------
% 0.21/0.52 % (16921)------------------------------
% 0.21/0.52 % (16922)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.53 % (16923)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.21/0.53 % (16924)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.21/0.53 % (16924)Instruction limit reached!
% 0.21/0.53 % (16924)------------------------------
% 0.21/0.53 % (16924)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.53 % (16924)Termination reason: Unknown
% 0.21/0.53 % (16924)Termination phase: shuffling
% 0.21/0.53
% 0.21/0.53 % (16924)Memory used [KB]: 2174
% 0.21/0.53 % (16924)Time elapsed: 0.008 s
% 0.21/0.53 % (16924)Instructions burned: 20 (million)
% 0.21/0.53 % (16924)------------------------------
% 0.21/0.53 % (16924)------------------------------
% 0.21/0.54 % (16901)Instruction limit reached!
% 0.21/0.54 % (16901)------------------------------
% 0.21/0.54 % (16901)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.54 % (16901)Termination reason: Unknown
% 0.21/0.54 % (16901)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (16901)Memory used [KB]: 7803
% 0.21/0.54 % (16901)Time elapsed: 0.130 s
% 0.21/0.54 % (16901)Instructions burned: 275 (million)
% 0.21/0.54 % (16901)------------------------------
% 0.21/0.54 % (16901)------------------------------
% 0.21/0.54 % (16925)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.55 % (16926)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.29/0.56 % (16926)Instruction limit reached!
% 1.29/0.56 % (16926)------------------------------
% 1.29/0.56 % (16926)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.29/0.56 % (16926)Termination reason: Unknown
% 1.29/0.56 % (16926)Termination phase: shuffling
% 1.29/0.56
% 1.29/0.56 % (16926)Memory used [KB]: 2046
% 1.29/0.56 % (16926)Time elapsed: 0.009 s
% 1.29/0.56 % (16926)Instructions burned: 19 (million)
% 1.29/0.56 % (16926)------------------------------
% 1.29/0.56 % (16926)------------------------------
% 1.29/0.57 % (16927)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.29/0.57 % (16927)Instruction limit reached!
% 1.29/0.57 % (16927)------------------------------
% 1.29/0.57 % (16927)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.29/0.57 % (16927)Termination reason: Unknown
% 1.29/0.57 % (16927)Termination phase: shuffling
% 1.29/0.57
% 1.29/0.57 % (16927)Memory used [KB]: 1791
% 1.29/0.57 % (16927)Time elapsed: 0.004 s
% 1.29/0.57 % (16927)Instructions burned: 5 (million)
% 1.29/0.57 % (16927)------------------------------
% 1.29/0.57 % (16927)------------------------------
% 1.43/0.58 % (16928)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.43/0.59 % (16928)Instruction limit reached!
% 1.43/0.59 % (16928)------------------------------
% 1.43/0.59 % (16928)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.43/0.59 % (16928)Termination reason: Unknown
% 1.43/0.59 % (16928)Termination phase: shuffling
% 1.43/0.59
% 1.43/0.59 % (16928)Memory used [KB]: 2302
% 1.43/0.59 % (16928)Time elapsed: 0.014 s
% 1.43/0.59 % (16928)Instructions burned: 32 (million)
% 1.43/0.59 % (16928)------------------------------
% 1.43/0.59 % (16928)------------------------------
% 1.43/0.60 % (16929)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2997ds/127Mi)
% 1.75/0.64 % (16929)Instruction limit reached!
% 1.75/0.64 % (16929)------------------------------
% 1.75/0.64 % (16929)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.75/0.64 % (16929)Termination reason: Unknown
% 1.75/0.64 % (16929)Termination phase: Property scanning
% 1.75/0.64
% 1.75/0.64 % (16929)Memory used [KB]: 3326
% 1.75/0.64 % (16929)Time elapsed: 0.045 s
% 1.75/0.64 % (16929)Instructions burned: 128 (million)
% 1.75/0.64 % (16929)------------------------------
% 1.75/0.64 % (16929)------------------------------
% 1.93/0.65 % (16922)Instruction limit reached!
% 1.93/0.65 % (16922)------------------------------
% 1.93/0.65 % (16922)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.93/0.65 % (16922)Termination reason: Unknown
% 1.93/0.65 % (16922)Termination phase: Saturation
% 1.93/0.65
% 1.93/0.65 % (16922)Memory used [KB]: 9850
% 1.93/0.65 % (16922)Time elapsed: 0.130 s
% 1.93/0.65 % (16922)Instructions burned: 378 (million)
% 1.93/0.65 % (16922)------------------------------
% 1.93/0.65 % (16922)------------------------------
% 1.93/0.65 % (16930)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.93/0.66 % (16931)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.93/0.66 % (16931)Instruction limit reached!
% 1.93/0.66 % (16931)------------------------------
% 1.93/0.66 % (16931)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.93/0.66 % (16931)Termination reason: Unknown
% 1.93/0.66 % (16931)Termination phase: shuffling
% 1.93/0.66
% 1.93/0.66 % (16931)Memory used [KB]: 1791
% 1.93/0.66 % (16931)Time elapsed: 0.003 s
% 1.93/0.66 % (16931)Instructions burned: 3 (million)
% 1.93/0.66 % (16931)------------------------------
% 1.93/0.66 % (16931)------------------------------
% 1.93/0.67 % (16932)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.93/0.68 % (16925)First to succeed.
% 1.93/0.68 % (16925)Refutation found. Thanks to Tanya!
% 1.93/0.68 % SZS status Theorem for theBenchmark
% 1.93/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.68 % (16925)------------------------------
% 1.93/0.68 % (16925)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.93/0.68 % (16925)Termination reason: Refutation
% 1.93/0.68
% 1.93/0.68 % (16925)Memory used [KB]: 8827
% 1.93/0.68 % (16925)Time elapsed: 0.134 s
% 1.93/0.68 % (16925)Instructions burned: 369 (million)
% 1.93/0.68 % (16925)------------------------------
% 1.93/0.68 % (16925)------------------------------
% 1.93/0.68 % (16895)Success in time 0.301 s
%------------------------------------------------------------------------------