%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP037^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:03 AM UTC 2026
% Result : Theorem 0.32s 0.44s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 25 ( 5 ~; 0 |; 0 &; 20 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 53 ( 52 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 200 ( 197 usr; 37 con; 0-10 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc640052711real_c: $tType ).
thf(type_def_6,type,
set_Pr2041213564t_unit: $tType ).
thf(type_def_7,type,
set_Pr1169339874_sc_sz: $tType ).
thf(type_def_8,type,
produc999471430t_unit: $tType ).
thf(type_def_9,type,
produc1821101996_sc_sz: $tType ).
thf(type_def_10,type,
produc1952288593real_c: $tType ).
thf(type_def_11,type,
produc99145217real_c: $tType ).
thf(type_def_12,type,
produc1295591296real_c: $tType ).
thf(type_def_13,type,
produc906325778c_real: $tType ).
thf(type_def_14,type,
set_Pr1389752855real_c: $tType ).
thf(type_def_15,type,
produc1149990247eal_sz: $tType ).
thf(type_def_16,type,
produc190496183real_c: $tType ).
thf(type_def_17,type,
produc866628903_sc_sz: $tType ).
thf(type_def_18,type,
produc729314338real_c: $tType ).
thf(type_def_19,type,
produc1299700144real_c: $tType ).
thf(type_def_20,type,
produc1471603704real_c: $tType ).
thf(type_def_21,type,
produc133347448c_real: $tType ).
thf(type_def_22,type,
denota610675952t_unit: $tType ).
thf(type_def_23,type,
produc44682460um_c_c: $tType ).
thf(type_def_24,type,
produc189019228set_sz: $tType ).
thf(type_def_25,type,
produc621499498um_c_c: $tType ).
thf(type_def_26,type,
produc802386618_set_c: $tType ).
thf(type_def_27,type,
denota231621370t_unit: $tType ).
thf(type_def_28,type,
set_Fi1407883041real_c: $tType ).
thf(type_def_29,type,
produc2057661729set_sz: $tType ).
thf(type_def_30,type,
produc1631500469_set_c: $tType ).
thf(type_def_31,type,
produc313687471set_sz: $tType ).
thf(type_def_32,type,
produc756982951_set_c: $tType ).
thf(type_def_33,type,
produc861709536_sz_sz: $tType ).
thf(type_def_34,type,
finite824932053eal_sz: $tType ).
thf(type_def_35,type,
finite1398487019real_c: $tType ).
thf(type_def_36,type,
list_f1238882004_sc_sz: $tType ).
thf(type_def_37,type,
produc957004601l_real: $tType ).
thf(type_def_38,type,
frechet_strm_sf_sz: $tType ).
thf(type_def_39,type,
set_Sum_sum_sz_sz: $tType ).
thf(type_def_40,type,
frechet_strm_a_c: $tType ).
thf(type_def_41,type,
set_Sum_sum_c_c: $tType ).
thf(type_def_42,type,
set_trm_sf_sz: $tType ).
thf(type_def_43,type,
set_trm_a_c: $tType ).
thf(type_def_44,type,
formula_sf_sc_sz: $tType ).
thf(type_def_45,type,
trm_sf_sz: $tType ).
thf(type_def_46,type,
trm_a_c: $tType ).
thf(type_def_47,type,
set_sz: $tType ).
thf(type_def_48,type,
set_sf: $tType ).
thf(type_def_49,type,
set_c: $tType ).
thf(type_def_50,type,
set_a: $tType ).
thf(type_def_51,type,
real: $tType ).
thf(type_def_52,type,
sz: $tType ).
thf(type_def_53,type,
sf: $tType ).
thf(type_def_54,type,
sc: $tType ).
thf(type_def_55,type,
c: $tType ).
thf(type_def_56,type,
a: $tType ).
thf(type_def_57,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(func_def_1,type,
denota102713844ree_sz: produc1149990247eal_sz > produc1149990247eal_sz > set_Sum_sum_sz_sz > $o ).
thf(func_def_2,type,
denota2112424896_a_b_c: denota231621370t_unit > trm_a_c > produc190496183real_c > real ).
thf(func_def_3,type,
denota229585092_a_b_c: denota231621370t_unit > trm_a_c > finite1398487019real_c > finite1398487019real_c > real ).
thf(func_def_4,type,
frechet_cr_strm_a_c: trm_a_c > frechet_strm_a_c > $o ).
thf(func_def_5,type,
freche1244000341_sf_sz: trm_sf_sz > frechet_strm_sf_sz > $o ).
thf(func_def_6,type,
zero_z109254132real_c: finite1398487019real_c ).
thf(func_def_7,type,
zero_z1506780526real_c: produc190496183real_c ).
thf(func_def_8,type,
zero_z735295626real_c: produc99145217real_c ).
thf(func_def_9,type,
zero_z1273814959c_real: produc133347448c_real ).
thf(func_def_10,type,
zero_z440955354real_c: produc1952288593real_c ).
thf(func_def_11,type,
zero_z993734942real_c: produc640052711real_c ).
thf(func_def_12,type,
zero_z1830236699c_real: produc906325778c_real ).
thf(func_def_13,type,
zero_z464587567real_c: produc1471603704real_c ).
thf(func_def_14,type,
zero_z72018569real_c: produc1295591296real_c ).
thf(func_def_15,type,
zero_z659284464l_real: produc957004601l_real ).
thf(func_def_16,type,
zero_zero_real: real ).
thf(func_def_17,type,
ids_sz_sf_sc: sz > sz > sz > sf > sf > sf > sc > sc > sc > sc > $o ).
thf(func_def_18,type,
if_trm_sf_sz: $o > trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(func_def_19,type,
top_to1309524330_set_c: produc802386618_set_c ).
thf(func_def_20,type,
top_to1246597548set_sz: produc189019228set_sz ).
thf(func_def_21,type,
top_to1783191648real_c: produc1299700144real_c ).
thf(func_def_22,type,
top_to1128637210um_c_c: produc621499498um_c_c ).
thf(func_def_23,type,
top_to543326711_set_c: produc756982951_set_c ).
thf(func_def_24,type,
top_to1303770207set_sz: produc313687471set_sz ).
thf(func_def_25,type,
top_to1102487922real_c: produc729314338real_c ).
thf(func_def_26,type,
top_to1102260780um_c_c: produc44682460um_c_c ).
thf(func_def_27,type,
top_to474099557_set_c: produc1631500469_set_c ).
thf(func_def_28,type,
top_to1999610481set_sz: produc2057661729set_sz ).
thf(func_def_29,type,
top_to1642137041real_c: set_Fi1407883041real_c ).
thf(func_def_30,type,
top_to226056039real_c: set_Pr1389752855real_c ).
thf(func_def_31,type,
top_to1660572043um_c_c: set_Sum_sum_c_c ).
thf(func_def_32,type,
top_to1246370329_sz_sz: set_Sum_sum_sz_sz ).
thf(func_def_33,type,
top_top_set_c: set_c ).
thf(func_def_34,type,
top_top_set_sz: set_sz ).
thf(func_def_35,type,
produc789536734_sc_sz: denota610675952t_unit > produc866628903_sc_sz > produc1821101996_sc_sz ).
thf(func_def_36,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_37,type,
produc1563404851real_c: finite1398487019real_c > produc190496183real_c > produc99145217real_c ).
thf(func_def_38,type,
produc1715747632c_real: finite1398487019real_c > real > produc133347448c_real ).
thf(func_def_39,type,
produc1308130519eal_sz: finite824932053eal_sz > finite824932053eal_sz > produc1149990247eal_sz ).
thf(func_def_40,type,
produc1822718231_sc_sz: list_f1238882004_sc_sz > list_f1238882004_sc_sz > produc866628903_sc_sz ).
thf(func_def_41,type,
produc116546123real_c: produc190496183real_c > finite1398487019real_c > produc1952288593real_c ).
thf(func_def_42,type,
produc1687028567real_c: produc190496183real_c > produc190496183real_c > produc640052711real_c ).
thf(func_def_43,type,
produc171591948c_real: produc190496183real_c > real > produc906325778c_real ).
thf(func_def_44,type,
produc502616768t_unit: produc866628903_sc_sz > denota610675952t_unit > produc999471430t_unit ).
thf(func_def_45,type,
produc1327150128real_c: real > finite1398487019real_c > produc1471603704real_c ).
thf(func_def_46,type,
produc2134005810real_c: real > produc190496183real_c > produc1295591296real_c ).
thf(func_def_47,type,
produc705216881l_real: real > real > produc957004601l_real ).
thf(func_def_48,type,
produc1767696108_set_c: set_Sum_sum_c_c > set_c > produc802386618_set_c ).
thf(func_def_49,type,
produc1251379220set_sz: set_Sum_sum_c_c > set_sz > produc189019228set_sz ).
thf(func_def_50,type,
produc280329770real_c: set_c > set_Fi1407883041real_c > produc1299700144real_c ).
thf(func_def_51,type,
produc1519884516um_c_c: set_c > set_Sum_sum_c_c > produc621499498um_c_c ).
thf(func_def_52,type,
produc878845847_set_c: set_c > set_c > produc756982951_set_c ).
thf(func_def_53,type,
produc2039118377set_sz: set_c > set_sz > produc313687471set_sz ).
thf(func_def_54,type,
produc1915663706real_c: set_sz > set_Fi1407883041real_c > produc729314338real_c ).
thf(func_def_55,type,
produc590684180um_c_c: set_sz > set_Sum_sum_c_c > produc44682460um_c_c ).
thf(func_def_56,type,
produc760013927_set_c: set_sz > set_c > produc1631500469_set_c ).
thf(func_def_57,type,
produc2156889set_sz: set_sz > set_sz > produc2057661729set_sz ).
thf(func_def_58,type,
produc792909658_sz_sz: trm_sf_sz > sz > produc861709536_sz_sz ).
thf(func_def_59,type,
produc403791768_sc_sz: ( denota610675952t_unit > denota610675952t_unit ) > ( produc866628903_sc_sz > produc866628903_sc_sz ) > produc1821101996_sc_sz > produc1821101996_sc_sz ).
thf(func_def_60,type,
produc368345510real_c: ( finite1398487019real_c > finite1398487019real_c ) > ( finite1398487019real_c > finite1398487019real_c ) > produc190496183real_c > produc190496183real_c ).
thf(func_def_61,type,
produc1503602930_sc_sz: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_62,type,
produc2010422875real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_63,type,
produc548504323_sc_sz: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_64,type,
produc1216682964t_unit: produc999471430t_unit > produc866628903_sc_sz ).
thf(func_def_65,type,
produc2069561454_sz_sz: produc861709536_sz_sz > trm_sf_sz ).
thf(func_def_66,type,
produc974239792_sc_sz: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_67,type,
produc314122909real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_68,type,
produc4753477_sc_sz: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_69,type,
produc687319826t_unit: produc999471430t_unit > denota610675952t_unit ).
thf(func_def_70,type,
produc181739436_sz_sz: produc861709536_sz_sz > sz ).
thf(func_def_71,type,
produc532048446_sc_sz: produc1821101996_sc_sz > produc999471430t_unit ).
thf(func_def_72,type,
produc704157711real_c: produc190496183real_c > produc190496183real_c ).
thf(func_def_73,type,
produc245128480t_unit: produc999471430t_unit > produc1821101996_sc_sz ).
thf(func_def_74,type,
domain2047240575rm_a_c: ( trm_a_c > frechet_strm_a_c > $o ) > trm_a_c > $o ).
thf(func_def_75,type,
domain512309999_sf_sz: ( trm_sf_sz > frechet_strm_sf_sz > $o ) > trm_sf_sz > $o ).
thf(func_def_76,type,
collec377961627t_unit: ( produc999471430t_unit > $o ) > set_Pr2041213564t_unit ).
thf(func_def_77,type,
collect_trm_a_c: ( trm_a_c > $o ) > set_trm_a_c ).
thf(func_def_78,type,
collect_trm_sf_sz: ( trm_sf_sz > $o ) > set_trm_sf_sz ).
thf(func_def_79,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_80,type,
collect_sf: ( sf > $o ) > set_sf ).
thf(func_def_81,type,
image_1726193375_sc_sz: ( produc1821101996_sc_sz > produc1821101996_sc_sz ) > set_Pr1169339874_sc_sz > set_Pr1169339874_sc_sz ).
thf(func_def_82,type,
image_904562809t_unit: ( produc1821101996_sc_sz > produc999471430t_unit ) > set_Pr1169339874_sc_sz > set_Pr2041213564t_unit ).
thf(func_def_83,type,
image_14429021real_c: ( produc190496183real_c > finite1398487019real_c ) > set_Pr1389752855real_c > set_Fi1407883041real_c ).
thf(func_def_84,type,
image_1426741113_sc_sz: ( produc999471430t_unit > produc1821101996_sc_sz ) > set_Pr2041213564t_unit > set_Pr1169339874_sc_sz ).
thf(func_def_85,type,
image_c_trm_a_c: ( c > trm_a_c ) > set_c > set_trm_a_c ).
thf(func_def_86,type,
image_sz_trm_sf_sz: ( sz > trm_sf_sz ) > set_sz > set_trm_sf_sz ).
thf(func_def_87,type,
static_FVDiff_a_c: trm_a_c > set_Sum_sum_c_c ).
thf(func_def_88,type,
static_FVDiff_sf_sz: trm_sf_sz > set_Sum_sum_sz_sz ).
thf(func_def_89,type,
predic913887884_sf_sz: sc > formula_sf_sc_sz ).
thf(func_def_90,type,
dfree_a_c: trm_a_c > $o ).
thf(func_def_91,type,
dfree_sf_sz: trm_sf_sz > $o ).
thf(func_def_92,type,
dsafe_a_c: trm_a_c > $o ).
thf(func_def_93,type,
dsafe_sf_sz: trm_sf_sz > $o ).
thf(func_def_94,type,
ffree_sf_sc_sz: formula_sf_sc_sz > $o ).
thf(func_def_95,type,
prop_sz_sf_sc: sz > ( sz > trm_sf_sz ) > formula_sf_sc_sz ).
thf(func_def_96,type,
set1_f989022726_sc_sz: formula_sf_sc_sz > set_sf ).
thf(func_def_97,type,
p_sc_sf_sz: sc > formula_sf_sc_sz ).
thf(func_def_98,type,
empty_c_a: c > trm_a_c ).
thf(func_def_99,type,
empty_sz_sf: sz > trm_sf_sz ).
thf(func_def_100,type,
f0_sf_sz: sf > trm_sf_sz ).
thf(func_def_101,type,
f1_sz_sf: sz > sf > sz > trm_sf_sz ).
thf(func_def_102,type,
p1_sz_sf_sc: sz > sz > sz > formula_sf_sc_sz ).
thf(func_def_103,type,
singleton_sz_sf: sz > trm_sf_sz > sz > trm_sf_sz ).
thf(func_def_104,type,
singleton_rel_sf_sz: produc861709536_sz_sz > produc861709536_sz_sz > $o ).
thf(func_def_105,type,
const_a_c: real > trm_a_c ).
thf(func_def_106,type,
const_sf_sz: real > trm_sf_sz ).
thf(func_def_107,type,
diffVar_c_a: c > trm_a_c ).
thf(func_def_108,type,
diffVar_sz_sf: sz > trm_sf_sz ).
thf(func_def_109,type,
differential_a_c: trm_a_c > trm_a_c ).
thf(func_def_110,type,
differential_sf_sz: trm_sf_sz > trm_sf_sz ).
thf(func_def_111,type,
function_a_c: a > ( c > trm_a_c ) > trm_a_c ).
thf(func_def_112,type,
function_sf_sz: sf > ( sz > trm_sf_sz ) > trm_sf_sz ).
thf(func_def_113,type,
plus_a_c: trm_a_c > trm_a_c > trm_a_c ).
thf(func_def_114,type,
plus_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(func_def_115,type,
times_a_c: trm_a_c > trm_a_c > trm_a_c ).
thf(func_def_116,type,
times_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(func_def_117,type,
var_c_a: c > trm_a_c ).
thf(func_def_118,type,
var_sz_sf: sz > trm_sf_sz ).
thf(func_def_119,type,
set_trm_a_c2: trm_a_c > set_a ).
thf(func_def_120,type,
set_trm_sf_sz2: trm_sf_sz > set_sf ).
thf(func_def_121,type,
left_u968903956rm_a_c: ( trm_a_c > frechet_strm_a_c > $o ) > $o ).
thf(func_def_122,type,
left_u638806404_sf_sz: ( trm_sf_sz > frechet_strm_sf_sz > $o ) > $o ).
thf(func_def_123,type,
right_1933252621rm_a_c: ( trm_a_c > frechet_strm_a_c > $o ) > $o ).
thf(func_def_124,type,
right_963419005_sf_sz: ( trm_sf_sz > frechet_strm_sf_sz > $o ) > $o ).
thf(func_def_125,type,
accp_P529224471_sz_sz: ( produc861709536_sz_sz > produc861709536_sz_sz > $o ) > produc861709536_sz_sz > $o ).
thf(func_def_126,type,
member1057565379_sc_sz: produc1821101996_sc_sz > set_Pr1169339874_sc_sz > $o ).
thf(func_def_127,type,
member235934813t_unit: produc999471430t_unit > set_Pr2041213564t_unit > $o ).
thf(func_def_128,type,
member_trm_a_c: trm_a_c > set_trm_a_c > $o ).
thf(func_def_129,type,
member_trm_sf_sz: trm_sf_sz > set_trm_sf_sz > $o ).
thf(func_def_130,type,
member_a: a > set_a > $o ).
thf(func_def_131,type,
member_sf: sf > set_sf > $o ).
thf(func_def_132,type,
i: denota231621370t_unit ).
thf(func_def_133,type,
nu: produc190496183real_c ).
thf(func_def_134,type,
nu2: produc190496183real_c ).
thf(func_def_135,type,
args: c > trm_a_c ).
thf(func_def_136,type,
i2: c ).
thf(func_def_137,type,
var: a ).
thf(func_def_138,type,
vid1: sz ).
thf(func_def_139,type,
vid2: sz ).
thf(func_def_140,type,
vid3: sz ).
thf(func_def_142,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_146,type,
vAND: $o > $o > $o ).
thf(func_def_147,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_148,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_149,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_150,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_151,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_152,type,
vOR: $o > $o > $o ).
thf(func_def_153,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_154,type,
sP0: ( trm_a_c > $o ) > $o ).
thf(func_def_155,type,
sP1: ( trm_a_c > $o ) > $o ).
thf(func_def_156,type,
sP2: trm_a_c > $o ).
thf(func_def_157,type,
sP3: trm_a_c > $o ).
thf(func_def_158,type,
sP4: ( trm_a_c > $o ) > $o ).
thf(func_def_159,type,
sP5: ( trm_a_c > $o ) > $o ).
thf(func_def_160,type,
sP6: trm_a_c > $o ).
thf(func_def_161,type,
sK7: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_162,type,
sK8: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_163,type,
sK9: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_164,type,
sK10: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_165,type,
sK11: ( trm_a_c > $o ) > c ).
thf(func_def_166,type,
sK12: ( trm_a_c > $o ) > a ).
thf(func_def_167,type,
sK13: ( trm_a_c > $o ) > c > trm_a_c ).
thf(func_def_168,type,
sK14: ( trm_a_c > $o ) > real ).
thf(func_def_169,type,
sK15: trm_a_c > trm_a_c ).
thf(func_def_170,type,
sK16: trm_a_c > trm_a_c ).
thf(func_def_171,type,
sK17: trm_a_c > trm_a_c ).
thf(func_def_172,type,
sK18: trm_a_c > trm_a_c ).
thf(func_def_173,type,
sK19: trm_a_c > trm_a_c ).
thf(func_def_174,type,
sK20: trm_a_c > real ).
thf(func_def_175,type,
sK21: trm_a_c > c > trm_a_c ).
thf(func_def_176,type,
sK22: trm_a_c > a ).
thf(func_def_177,type,
sK23: trm_a_c > c ).
thf(func_def_178,type,
sK24: trm_a_c > c ).
thf(func_def_179,type,
sK25: ( c > trm_a_c ) > c ).
thf(func_def_180,type,
sK26: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_181,type,
sK27: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_182,type,
sK28: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_183,type,
sK29: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_184,type,
sK30: ( trm_a_c > $o ) > c ).
thf(func_def_185,type,
sK31: ( trm_a_c > $o ) > real ).
thf(func_def_186,type,
sK32: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_187,type,
sK33: ( trm_a_c > $o ) > c ).
thf(func_def_188,type,
sK34: ( trm_a_c > $o ) > a ).
thf(func_def_189,type,
sK35: ( trm_a_c > $o ) > c > trm_a_c ).
thf(func_def_190,type,
sK36: trm_a_c > trm_a_c ).
thf(func_def_191,type,
sK37: trm_a_c > trm_a_c ).
thf(func_def_192,type,
sK38: trm_a_c > real ).
thf(func_def_193,type,
sK39: trm_a_c > c > trm_a_c ).
thf(func_def_194,type,
sK40: trm_a_c > a ).
thf(func_def_195,type,
sK41: trm_a_c > trm_a_c ).
thf(func_def_196,type,
sK42: trm_a_c > trm_a_c ).
thf(func_def_197,type,
sK43: trm_a_c > c ).
thf(func_def_198,type,
vNOT: $o > $o ).
thf(f1,axiom,
! [X0: c] : ( dfree_a_c @ ( args @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_free) ).
thf(f357,conjecture,
dfree_a_c @ ( args @ i2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f358,negated_conjecture,
~ ( dfree_a_c @ ( args @ i2 ) ),
inference(negated_conjecture,[status(cth)],[f357]) ).
thf(f611,plain,
! [X0: c] : ( dfree_a_c @ ( args @ X0 ) ),
inference(rectify,[],[f1]) ).
thf(f612,plain,
! [X0: c] :
( ( dfree_a_c @ ( args @ X0 ) )
= $true ),
inference(fool_elimination,[],[f611]) ).
thf(f655,plain,
~ ( dfree_a_c @ ( args @ i2 ) ),
inference(rectify,[],[f358]) ).
thf(f656,plain,
( ( dfree_a_c @ ( args @ i2 ) )
!= $true ),
inference(fool_elimination,[],[f655]) ).
thf(f720,plain,
( ( dfree_a_c @ ( args @ i2 ) )
!= $true ),
inference(flattening,[],[f656]) ).
thf(f835,plain,
! [X0: c] :
( ( dfree_a_c @ ( args @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f612]) ).
thf(f845,plain,
( ( dfree_a_c @ ( args @ i2 ) )
!= $true ),
inference(cnf_transformation,[],[f720]) ).
thf(f853,plain,
$false,
inference(forward_subsumption_resolution,[],[f845,f835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP037^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n001.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:45:52 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.20/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.44 % (1723994)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.44 % (1724011)lrs+10_16_si=on:nwc=1.5:random_seed=2588221133:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.44 % (1724016)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.44 % (1724016)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.32/0.44 % (1724011)Instruction limit reached!
% 0.32/0.44 % (1724011)------------------------------
% 0.32/0.44 % (1724011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724011)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724011)Termination reason: Instruction limit
% 0.32/0.44 % (1724011)Termination phase: Property scanning
% 0.32/0.44 % (1724011)Time elapsed: 0.006 s
% 0.32/0.44 % (1724011)Peak memory usage: 11 MB
% 0.32/0.44 % (1724011)Instructions burned: 19 (million)
% 0.32/0.44 % (1724012)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3708468457:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.44 % (1724010)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3628096626:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.44 % (1724013)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2251634378:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.32/0.44 % (1724014)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3366027082:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.44 % (1724016)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3934262621:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.44 % (1724015)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2993664455:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.44 % (1724012)Instruction limit reached!
% 0.32/0.44 % (1724012)------------------------------
% 0.32/0.44 % (1724012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724012)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724012)Termination reason: Instruction limit
% 0.32/0.44 % (1724012)Termination phase: shuffling
% 0.32/0.44 % (1724012)Time elapsed: 0.004 s
% 0.32/0.44 % (1724012)Peak memory usage: 10 MB
% 0.32/0.44 % (1724012)Instructions burned: 7 (million)
% 0.32/0.44 % (1724021)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4190009427:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.44 % (1724021)Instruction limit reached!
% 0.32/0.44 % (1724021)------------------------------
% 0.32/0.44 % (1724021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724021)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724021)Termination reason: Instruction limit
% 0.32/0.44 % (1724021)Termination phase: shuffling
% 0.32/0.44 % (1724021)Time elapsed: 0.001 s
% 0.32/0.44 % (1724021)Peak memory usage: 10 MB
% 0.32/0.44 % (1724021)Instructions burned: 3 (million)
% 0.32/0.44 % (1724014)Instruction limit reached!
% 0.32/0.44 % (1724014)------------------------------
% 0.32/0.44 % (1724014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724014)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724014)Termination reason: Instruction limit
% 0.32/0.44 % (1724014)Termination phase: Property scanning
% 0.32/0.44 % (1724014)Time elapsed: 0.013 s
% 0.32/0.44 % (1724014)Peak memory usage: 11 MB
% 0.32/0.44 % (1724014)Instructions burned: 27 (million)
% 0.32/0.44 % (1724031)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.44 % (1724031)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=827710183:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.32/0.44 % (1724028)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=637571083:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.32/0.44 % (1724031)Instruction limit reached!
% 0.32/0.44 % (1724031)------------------------------
% 0.32/0.44 % (1724031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724031)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724031)Termination reason: Instruction limit
% 0.32/0.44 % (1724031)Termination phase: shuffling
% 0.32/0.44 % (1724031)Time elapsed: 0.002 s
% 0.32/0.44 % (1724031)Peak memory usage: 10 MB
% 0.32/0.44 % (1724031)Instructions burned: 7 (million)
% 0.32/0.44 % (1724028)Instruction limit reached!
% 0.32/0.44 % (1724028)------------------------------
% 0.32/0.44 % (1724028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724028)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724028)Termination reason: Instruction limit
% 0.32/0.44 % (1724028)Termination phase: shuffling
% 0.32/0.44 % (1724028)Time elapsed: 0.003 s
% 0.32/0.44 % (1724028)Peak memory usage: 10 MB
% 0.32/0.44 % (1724028)Instructions burned: 6 (million)
% 0.32/0.44 % (1724032)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=809859380:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.32/0.44 % (1724038)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.32/0.44 % (1724038)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.44 % (1724038)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=757566937:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.32/0.44 % (1724032)Instruction limit reached!
% 0.32/0.44 % (1724032)------------------------------
% 0.32/0.44 % (1724032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724032)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724032)Termination reason: Instruction limit
% 0.32/0.44 % (1724032)Termination phase: shuffling
% 0.32/0.44 % (1724032)Time elapsed: 0.007 s
% 0.32/0.44 % (1724032)Peak memory usage: 10 MB
% 0.32/0.44 % (1724032)Instructions burned: 14 (million)
% 0.32/0.44 % (1724015)Instruction limit reached!
% 0.32/0.44 % (1724015)------------------------------
% 0.32/0.44 % (1724015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724015)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724015)Termination reason: Instruction limit
% 0.32/0.44 % (1724015)Termination phase: Property scanning
% 0.32/0.44 % (1724015)Time elapsed: 0.040 s
% 0.32/0.44 % (1724015)Peak memory usage: 12 MB
% 0.32/0.44 % (1724015)Instructions burned: 77 (million)
% 0.32/0.44 % (1724010)Instruction limit reached!
% 0.32/0.44 % (1724010)------------------------------
% 0.32/0.44 % (1724010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724010)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724010)Termination reason: Instruction limit
% 0.32/0.44 % (1724010)Termination phase: Property scanning
% 0.32/0.44 % (1724010)Time elapsed: 0.042 s
% 0.32/0.44 % (1724010)Peak memory usage: 12 MB
% 0.32/0.44 % (1724010)Instructions burned: 89 (million)
% 0.32/0.44 % (1724038)Instruction limit reached!
% 0.32/0.44 % (1724038)------------------------------
% 0.32/0.44 % (1724038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724038)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724038)Termination reason: Instruction limit
% 0.32/0.44 % (1724038)Termination phase: shuffling
% 0.32/0.44 % (1724038)Time elapsed: 0.007 s
% 0.32/0.44 % (1724038)Peak memory usage: 11 MB
% 0.32/0.44 % (1724038)Instructions burned: 28 (million)
% 0.32/0.44 % (1724040)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2463392326:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.32/0.44 % (1724047)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.32/0.44 % (1724051)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=274377848:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.32/0.44 % (1724046)lrs+10_1_si=on:cs=on:random_seed=825822790:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.32/0.44 % (1724047)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=497093994:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.44 % (1724048)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1201168956:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.32/0.44 % (1724047)Instruction limit reached!
% 0.32/0.44 % (1724047)------------------------------
% 0.32/0.44 % (1724047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724047)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724047)Termination reason: Instruction limit
% 0.32/0.44 % (1724047)Termination phase: shuffling
% 0.32/0.44 % (1724047)Time elapsed: 0.002 s
% 0.32/0.44 % (1724047)Peak memory usage: 10 MB
% 0.32/0.44 % (1724047)Instructions burned: 3 (million)
% 0.32/0.44 % (1724046)Instruction limit reached!
% 0.32/0.44 % (1724046)------------------------------
% 0.32/0.44 % (1724046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724046)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724046)Termination reason: Instruction limit
% 0.32/0.44 % (1724046)Termination phase: shuffling
% 0.32/0.44 % (1724046)Time elapsed: 0.005 s
% 0.32/0.44 % (1724046)Peak memory usage: 10 MB
% 0.32/0.44 % (1724046)Instructions burned: 10 (million)
% 0.32/0.44 % (1724051) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1723994-1724051"...
% 0.32/0.44 % (1724051)...printing done.
% 0.32/0.44 % (1724051)Refutation found. Thanks to Tanya!
% 0.32/0.44 % SZS status Theorem for theBenchmark
% 0.32/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/0.44 % (1724051)------------------------------
% 0.32/0.44 % (1724051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1724051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1724051)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1724051)Termination reason: Refutation
% 0.32/0.44 % (1724051)Time elapsed: 0.017 s
% 0.32/0.44 % (1724051)Peak memory usage: 13 MB
% 0.32/0.44 % (1724051)Instructions burned: 50 (million)
% 0.32/0.44 % (1723994)Success in time 0.13 s
% 0.32/0.44 % Vampire exiting
%------------------------------------------------------------------------------