%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:27 AM UTC 2026
% Result : Theorem 0.20s 0.36s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 19 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 82 ( 7 ~; 0 |; 0 &; 68 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 53 ( 52 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 433 ( 429 usr; 38 con; 0-10 aty)
% ( 0 !!; 7 ??; 0 @@+; 0 @@-)
% Number of variables : 29 ( 19 ^; 8 !; 2 ?; 29 :)
% 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_144,type,
vAND: $o > $o > $o ).
thf(func_def_145,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_146,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_147,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_148,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_149,type,
vOR: $o > $o > $o ).
thf(func_def_150,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_151,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_152,type,
db2:
!>[X0: $tType] : X0 ).
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_sf_sz > $o ) > $o ).
thf(func_def_157,type,
sP3: ( trm_sf_sz > $o ) > $o ).
thf(func_def_158,type,
sP4: trm_a_c > $o ).
thf(func_def_159,type,
sP5: trm_sf_sz > $o ).
thf(func_def_160,type,
sP6: ( trm_sf_sz > $o ) > $o ).
thf(func_def_161,type,
sP7: ( trm_sf_sz > $o ) > $o ).
thf(func_def_162,type,
sP8: ( trm_a_c > $o ) > $o ).
thf(func_def_163,type,
sP9: ( trm_a_c > $o ) > $o ).
thf(func_def_164,type,
sP10: trm_sf_sz > $o ).
thf(func_def_165,type,
sP11: trm_sf_sz > $o ).
thf(func_def_166,type,
sP12: trm_a_c > $o ).
thf(func_def_167,type,
sP13: trm_a_c > $o ).
thf(func_def_168,type,
sP14: ( trm_sf_sz > $o ) > $o ).
thf(func_def_169,type,
sP15: ( trm_sf_sz > $o ) > $o ).
thf(func_def_170,type,
sP16: ( trm_a_c > $o ) > $o ).
thf(func_def_171,type,
sP17: ( trm_a_c > $o ) > $o ).
thf(func_def_172,type,
sP18: trm_sf_sz > sf > $o ).
thf(func_def_173,type,
sP19: trm_sf_sz > sf > $o ).
thf(func_def_174,type,
sP20: trm_sf_sz > sf > $o ).
thf(func_def_175,type,
sP21: trm_a_c > a > $o ).
thf(func_def_176,type,
sP22: trm_a_c > a > $o ).
thf(func_def_177,type,
sP23: trm_a_c > a > $o ).
thf(func_def_178,type,
sK24: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_179,type,
sK25: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_180,type,
sK26: produc861709536_sz_sz > trm_sf_sz ).
thf(func_def_181,type,
sK27: produc861709536_sz_sz > sz ).
thf(func_def_182,type,
sK28: ( c > trm_a_c ) > c ).
thf(func_def_183,type,
sK29: ( sz > trm_sf_sz ) > sz ).
thf(func_def_184,type,
sK30: trm_sf_sz > trm_sf_sz ).
thf(func_def_185,type,
sK31: trm_sf_sz > sz ).
thf(func_def_186,type,
sK32: trm_sf_sz > trm_sf_sz ).
thf(func_def_187,type,
sK33: trm_sf_sz > trm_sf_sz ).
thf(func_def_188,type,
sK34: trm_sf_sz > trm_sf_sz ).
thf(func_def_189,type,
sK35: trm_sf_sz > trm_sf_sz ).
thf(func_def_190,type,
sK36: trm_sf_sz > sf ).
thf(func_def_191,type,
sK37: trm_sf_sz > sz > trm_sf_sz ).
thf(func_def_192,type,
sK38: trm_sf_sz > real ).
thf(func_def_193,type,
sK39: trm_sf_sz > sz ).
thf(func_def_194,type,
sK40: trm_a_c > trm_a_c ).
thf(func_def_195,type,
sK41: trm_a_c > c ).
thf(func_def_196,type,
sK42: trm_a_c > trm_a_c ).
thf(func_def_197,type,
sK43: trm_a_c > trm_a_c ).
thf(func_def_198,type,
sK44: trm_a_c > trm_a_c ).
thf(func_def_199,type,
sK45: trm_a_c > trm_a_c ).
thf(func_def_200,type,
sK46: trm_a_c > a ).
thf(func_def_201,type,
sK47: trm_a_c > c > trm_a_c ).
thf(func_def_202,type,
sK48: trm_a_c > real ).
thf(func_def_203,type,
sK49: trm_a_c > c ).
thf(func_def_204,type,
sK50: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_205,type,
sK51: produc1821101996_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_206,type,
sK52: produc1821101996_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_207,type,
sK53: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_208,type,
sK54: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_209,type,
sK55: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_210,type,
sK56: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_211,type,
sK57: ( produc861709536_sz_sz > $o ) > trm_sf_sz ).
thf(func_def_212,type,
sK58: ( produc861709536_sz_sz > $o ) > sz ).
thf(func_def_213,type,
sK59: ( produc999471430t_unit > $o ) > produc866628903_sc_sz ).
thf(func_def_214,type,
sK60: ( produc999471430t_unit > $o ) > denota610675952t_unit ).
thf(func_def_215,type,
sK61: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_216,type,
sK62: ( produc1821101996_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_217,type,
sK63: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_218,type,
sK64: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_219,type,
sK65: produc190496183real_c > finite1398487019real_c ).
thf(func_def_220,type,
sK66: produc190496183real_c > finite1398487019real_c ).
thf(func_def_221,type,
sK67: produc861709536_sz_sz > trm_sf_sz ).
thf(func_def_222,type,
sK68: produc861709536_sz_sz > sz ).
thf(func_def_223,type,
sK69: produc999471430t_unit > produc866628903_sc_sz ).
thf(func_def_224,type,
sK70: produc999471430t_unit > denota610675952t_unit ).
thf(func_def_225,type,
sK71: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_226,type,
sK72: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_227,type,
sK73: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_228,type,
sK74: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_229,type,
sK75: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_230,type,
sK76: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_231,type,
sK77: ( produc861709536_sz_sz > $o ) > trm_sf_sz ).
thf(func_def_232,type,
sK78: ( produc861709536_sz_sz > $o ) > sz ).
thf(func_def_233,type,
sK79: ( produc999471430t_unit > $o ) > produc866628903_sc_sz ).
thf(func_def_234,type,
sK80: ( produc999471430t_unit > $o ) > denota610675952t_unit ).
thf(func_def_235,type,
sK81: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_236,type,
sK82: ( produc1821101996_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_237,type,
sK83: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_238,type,
sK84: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_239,type,
sK85: produc190496183real_c > finite1398487019real_c ).
thf(func_def_240,type,
sK86: produc190496183real_c > finite1398487019real_c ).
thf(func_def_241,type,
sK87: produc861709536_sz_sz > trm_sf_sz ).
thf(func_def_242,type,
sK88: produc861709536_sz_sz > sz ).
thf(func_def_243,type,
sK89: produc999471430t_unit > produc866628903_sc_sz ).
thf(func_def_244,type,
sK90: produc999471430t_unit > denota610675952t_unit ).
thf(func_def_245,type,
sK91: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_246,type,
sK92: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_247,type,
sK93: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_248,type,
sK94: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_249,type,
sK95: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_250,type,
sK96: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_251,type,
sK97: ( trm_a_c > $o ) > c > trm_a_c ).
thf(func_def_252,type,
sK98: ( trm_a_c > $o ) > a ).
thf(func_def_253,type,
sK99: ( trm_a_c > $o ) > real ).
thf(func_def_254,type,
sK100: ( trm_a_c > $o ) > c ).
thf(func_def_255,type,
sK101: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_256,type,
sK102: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_257,type,
sK103: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_258,type,
sK104: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_259,type,
sK105: ( trm_sf_sz > $o ) > sz > trm_sf_sz ).
thf(func_def_260,type,
sK106: ( trm_sf_sz > $o ) > sf ).
thf(func_def_261,type,
sK107: ( trm_sf_sz > $o ) > real ).
thf(func_def_262,type,
sK108: ( trm_sf_sz > $o ) > sz ).
thf(func_def_263,type,
sK109: trm_a_c > trm_a_c ).
thf(func_def_264,type,
sK110: trm_a_c > trm_a_c ).
thf(func_def_265,type,
sK111: trm_a_c > trm_a_c ).
thf(func_def_266,type,
sK112: trm_a_c > trm_a_c ).
thf(func_def_267,type,
sK113: trm_a_c > c > trm_a_c ).
thf(func_def_268,type,
sK114: trm_a_c > a ).
thf(func_def_269,type,
sK115: trm_a_c > real ).
thf(func_def_270,type,
sK116: trm_a_c > c ).
thf(func_def_271,type,
sK117: trm_sf_sz > trm_sf_sz ).
thf(func_def_272,type,
sK118: trm_sf_sz > trm_sf_sz ).
thf(func_def_273,type,
sK119: trm_sf_sz > trm_sf_sz ).
thf(func_def_274,type,
sK120: trm_sf_sz > trm_sf_sz ).
thf(func_def_275,type,
sK121: trm_sf_sz > sz > trm_sf_sz ).
thf(func_def_276,type,
sK122: trm_sf_sz > sf ).
thf(func_def_277,type,
sK123: trm_sf_sz > real ).
thf(func_def_278,type,
sK124: trm_sf_sz > sz ).
thf(func_def_279,type,
sK125: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_280,type,
sK126: ( produc1821101996_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_281,type,
sK127: ( produc1821101996_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_282,type,
sK128: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_283,type,
sK129: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_284,type,
sK130: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_285,type,
sK131: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_286,type,
sK132: ( trm_sf_sz > $o ) > sz ).
thf(func_def_287,type,
sK133: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_288,type,
sK134: ( trm_sf_sz > $o ) > sz > trm_sf_sz ).
thf(func_def_289,type,
sK135: ( trm_sf_sz > $o ) > sf ).
thf(func_def_290,type,
sK136: ( trm_sf_sz > $o ) > real ).
thf(func_def_291,type,
sK137: ( trm_sf_sz > $o ) > sz ).
thf(func_def_292,type,
sK138: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_293,type,
sK139: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_294,type,
sK140: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_295,type,
sK141: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_296,type,
sK142: ( trm_a_c > $o ) > c ).
thf(func_def_297,type,
sK143: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_298,type,
sK144: ( trm_a_c > $o ) > c > trm_a_c ).
thf(func_def_299,type,
sK145: ( trm_a_c > $o ) > a ).
thf(func_def_300,type,
sK146: ( trm_a_c > $o ) > real ).
thf(func_def_301,type,
sK147: ( trm_a_c > $o ) > c ).
thf(func_def_302,type,
sK148: trm_sf_sz > trm_sf_sz ).
thf(func_def_303,type,
sK149: trm_sf_sz > trm_sf_sz ).
thf(func_def_304,type,
sK150: trm_sf_sz > trm_sf_sz ).
thf(func_def_305,type,
sK151: trm_sf_sz > trm_sf_sz ).
thf(func_def_306,type,
sK152: trm_sf_sz > sz ).
thf(func_def_307,type,
sK153: trm_sf_sz > trm_sf_sz ).
thf(func_def_308,type,
sK154: trm_sf_sz > sz > trm_sf_sz ).
thf(func_def_309,type,
sK155: trm_sf_sz > sf ).
thf(func_def_310,type,
sK156: trm_sf_sz > real ).
thf(func_def_311,type,
sK157: trm_sf_sz > sz ).
thf(func_def_312,type,
sK158: trm_a_c > trm_a_c ).
thf(func_def_313,type,
sK159: trm_a_c > trm_a_c ).
thf(func_def_314,type,
sK160: trm_a_c > trm_a_c ).
thf(func_def_315,type,
sK161: trm_a_c > trm_a_c ).
thf(func_def_316,type,
sK162: trm_a_c > c ).
thf(func_def_317,type,
sK163: trm_a_c > trm_a_c ).
thf(func_def_318,type,
sK164: trm_a_c > c > trm_a_c ).
thf(func_def_319,type,
sK165: trm_a_c > a ).
thf(func_def_320,type,
sK166: trm_a_c > real ).
thf(func_def_321,type,
sK167: trm_a_c > c ).
thf(func_def_322,type,
sK168: ( c > trm_a_c ) > c ).
thf(func_def_323,type,
sK169: ( sz > trm_sf_sz ) > sz ).
thf(func_def_324,type,
sK170: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_325,type,
sK171: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_326,type,
sK172: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_327,type,
sK173: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_328,type,
sK174: ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_329,type,
sK175: ( trm_sf_sz > $o ) > sz ).
thf(func_def_330,type,
sK176: ( trm_sf_sz > $o ) > sf ).
thf(func_def_331,type,
sK177: ( trm_sf_sz > $o ) > sz > trm_sf_sz ).
thf(func_def_332,type,
sK178: ( trm_sf_sz > $o ) > real ).
thf(func_def_333,type,
sK179: ( trm_sf_sz > $o ) > sz ).
thf(func_def_334,type,
sK180: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_335,type,
sK181: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_336,type,
sK182: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_337,type,
sK183: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_338,type,
sK184: ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_339,type,
sK185: ( trm_a_c > $o ) > c ).
thf(func_def_340,type,
sK186: ( trm_a_c > $o ) > a ).
thf(func_def_341,type,
sK187: ( trm_a_c > $o ) > c > trm_a_c ).
thf(func_def_342,type,
sK188: ( trm_a_c > $o ) > real ).
thf(func_def_343,type,
sK189: ( trm_a_c > $o ) > c ).
thf(func_def_344,type,
sK190: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_345,type,
sK191: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_346,type,
sK192: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_347,type,
sK193: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_348,type,
sK194: produc861709536_sz_sz > trm_sf_sz ).
thf(func_def_349,type,
sK195: produc861709536_sz_sz > sz ).
thf(func_def_350,type,
sK196: ( finite1398487019real_c > finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_351,type,
sK197: ( finite1398487019real_c > finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_352,type,
sK198: trm_a_c > ( trm_a_c > frechet_strm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_353,type,
sK199: trm_a_c > ( trm_a_c > frechet_strm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_354,type,
sK200: ( trm_a_c > $o ) > ( trm_a_c > frechet_strm_a_c > $o ) > trm_a_c ).
thf(func_def_355,type,
sK201: ( trm_a_c > $o ) > ( trm_a_c > frechet_strm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_356,type,
sK202: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_357,type,
sK203: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_358,type,
sK204: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_359,type,
sK205: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_360,type,
sK206: trm_sf_sz > sf > sf ).
thf(func_def_361,type,
sK207: trm_sf_sz > sf > sz > trm_sf_sz ).
thf(func_def_362,type,
sK208: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_363,type,
sK209: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_364,type,
sK210: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_365,type,
sK211: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_366,type,
sK212: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_367,type,
sK213: trm_sf_sz > sf > trm_sf_sz ).
thf(func_def_368,type,
sK214: trm_sf_sz > sf > sz > trm_sf_sz ).
thf(func_def_369,type,
sK215: trm_a_c > a > trm_a_c ).
thf(func_def_370,type,
sK216: trm_a_c > a > trm_a_c ).
thf(func_def_371,type,
sK217: trm_a_c > a > trm_a_c ).
thf(func_def_372,type,
sK218: trm_a_c > a > trm_a_c ).
thf(func_def_373,type,
sK219: trm_a_c > a > a ).
thf(func_def_374,type,
sK220: trm_a_c > a > c > trm_a_c ).
thf(func_def_375,type,
sK221: trm_a_c > a > trm_a_c ).
thf(func_def_376,type,
sK222: trm_a_c > a > trm_a_c ).
thf(func_def_377,type,
sK223: trm_a_c > a > trm_a_c ).
thf(func_def_378,type,
sK224: trm_a_c > a > trm_a_c ).
thf(func_def_379,type,
sK225: trm_a_c > a > trm_a_c ).
thf(func_def_380,type,
sK226: trm_a_c > a > trm_a_c ).
thf(func_def_381,type,
sK227: trm_a_c > a > c > trm_a_c ).
thf(func_def_382,type,
sK228: ( sz > trm_sf_sz ) > trm_sf_sz ).
thf(func_def_383,type,
sK229: set_Pr1169339874_sc_sz > ( produc866628903_sc_sz > produc866628903_sc_sz ) > ( denota610675952t_unit > denota610675952t_unit ) > produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_384,type,
sK230: set_Pr1169339874_sc_sz > ( produc866628903_sc_sz > produc866628903_sc_sz ) > ( denota610675952t_unit > denota610675952t_unit ) > produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_385,type,
vNOT: $o > $o ).
thf(func_def_386,type,
sK231: trm_a_c > ( trm_a_c > frechet_strm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_387,type,
sK232: produc190496183real_c > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_388,type,
sK233: produc1821101996_sc_sz > denota610675952t_unit > produc866628903_sc_sz ).
thf(func_def_389,type,
sK234: produc190496183real_c > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_390,type,
sK235: produc1821101996_sc_sz > produc866628903_sc_sz > denota610675952t_unit ).
thf(func_def_391,type,
sK236: trm_a_c > frechet_strm_a_c ).
thf(func_def_392,type,
sK237: ( sz > trm_sf_sz ) > sz ).
thf(func_def_393,type,
sK238: ( c > trm_a_c ) > c ).
thf(func_def_394,type,
sK239: trm_a_c > frechet_strm_a_c ).
thf(func_def_395,type,
sK240: trm_a_c > frechet_strm_a_c ).
thf(func_def_396,type,
sK241: ( trm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_397,type,
sK242: ( trm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_398,type,
sK243: ( trm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_399,type,
sK244: trm_a_c > c > frechet_strm_a_c ).
thf(func_def_400,type,
sK245: trm_a_c > frechet_strm_a_c ).
thf(func_def_401,type,
sK246: trm_a_c > frechet_strm_a_c ).
thf(func_def_402,type,
sK247: trm_a_c > c > frechet_strm_a_c ).
thf(func_def_403,type,
sK248: trm_a_c > frechet_strm_a_c ).
thf(func_def_404,type,
sK249: trm_a_c > frechet_strm_a_c ).
thf(func_def_405,type,
sK250: trm_a_c > c > frechet_strm_a_c ).
thf(func_def_406,type,
sK251: trm_a_c > frechet_strm_a_c ).
thf(func_def_407,type,
sK252: trm_a_c > frechet_strm_a_c ).
thf(func_def_408,type,
sK253: ( trm_a_c > $o ) > c > frechet_strm_a_c ).
thf(func_def_409,type,
sK254: ( trm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_410,type,
sK255: ( trm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_411,type,
sK256: ( trm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_412,type,
sK257: ( trm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_413,type,
sK258: real > frechet_strm_a_c ).
thf(func_def_414,type,
sK259: real > frechet_strm_a_c ).
thf(func_def_415,type,
sK260: c > frechet_strm_a_c ).
thf(func_def_416,type,
sK261: trm_a_c > trm_a_c > frechet_strm_a_c ).
thf(func_def_417,type,
sK262: trm_a_c > trm_a_c > frechet_strm_a_c ).
thf(func_def_418,type,
sK263: a > ( c > trm_a_c ) > frechet_strm_a_c ).
thf(func_def_419,type,
sK264: ( sz > trm_sf_sz ) > sz ).
thf(func_def_420,type,
sK265: ( c > trm_a_c ) > c > frechet_strm_a_c ).
thf(func_def_421,type,
sK266: ( c > trm_a_c ) > c ).
thf(func_def_422,type,
sK267: ( c > trm_a_c ) > a > frechet_strm_a_c ).
thf(func_def_423,type,
sK268: trm_a_c > trm_a_c > frechet_strm_a_c ).
thf(func_def_424,type,
sK269: trm_a_c > frechet_strm_a_c ).
thf(func_def_425,type,
sK270: trm_a_c > frechet_strm_a_c ).
thf(func_def_426,type,
sK271: trm_a_c > frechet_strm_a_c ).
thf(func_def_427,type,
sK272: trm_a_c > frechet_strm_a_c ).
thf(func_def_428,type,
sK273: trm_a_c > trm_a_c > frechet_strm_a_c ).
thf(func_def_429,type,
sK274: c > frechet_strm_a_c ).
thf(func_def_430,type,
sK275: c > frechet_strm_a_c ).
thf(f1,axiom,
! [X0: c] : ( dfree_a_c @ ( args @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_free) ).
thf(f4,axiom,
( ( domain2047240575rm_a_c @ frechet_cr_strm_a_c )
= dfree_a_c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_strm_Odomain) ).
thf(f302,axiom,
( domain2047240575rm_a_c
= ( ^ [X0: trm_a_c > frechet_strm_a_c > $o,X1: trm_a_c] :
? [X2: frechet_strm_a_c] : ( X0 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_Domainp__iff) ).
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(f359,plain,
! [X0: c] : ( dfree_a_c @ ( args @ X0 ) ),
inference(rectify,[],[f1]) ).
thf(f360,plain,
! [X0: c] :
( ( dfree_a_c @ ( args @ X0 ) )
= $true ),
inference(fool_elimination,[],[f359]) ).
thf(f645,plain,
( domain2047240575rm_a_c
= ( ^ [X0: trm_a_c > frechet_strm_a_c > $o,X1: trm_a_c] :
? [X2: frechet_strm_a_c] : ( X0 @ X1 @ X2 ) ) ),
inference(rectify,[],[f302]) ).
thf(f646,plain,
( domain2047240575rm_a_c
= ( ^ [Y0: trm_a_c > frechet_strm_a_c > $o,Y1: trm_a_c] :
( ?? @ frechet_strm_a_c
@ ^ [Y2: frechet_strm_a_c] : ( Y0 @ Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f645]) ).
thf(f693,plain,
~ ( dfree_a_c @ ( args @ i2 ) ),
inference(rectify,[],[f358]) ).
thf(f694,plain,
( ( dfree_a_c @ ( args @ i2 ) )
!= $true ),
inference(fool_elimination,[],[f693]) ).
thf(f710,plain,
( ( dfree_a_c @ ( args @ i2 ) )
!= $true ),
inference(flattening,[],[f694]) ).
thf(f1046,plain,
! [X0: c] :
( ( dfree_a_c @ ( args @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f360]) ).
thf(f1049,plain,
( dfree_a_c
= ( domain2047240575rm_a_c @ frechet_cr_strm_a_c ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f1462,plain,
( domain2047240575rm_a_c
= ( ^ [Y0: trm_a_c > frechet_strm_a_c > $o,Y1: trm_a_c] :
( ?? @ frechet_strm_a_c
@ ^ [Y2: frechet_strm_a_c] : ( Y0 @ Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f646]) ).
thf(f1552,plain,
( ( dfree_a_c @ ( args @ i2 ) )
!= $true ),
inference(cnf_transformation,[],[f710]) ).
thf(f1556,plain,
( dfree_a_c
= ( ^ [Y0: trm_a_c > frechet_strm_a_c > $o,Y1: trm_a_c] :
( ?? @ frechet_strm_a_c
@ ^ [Y2: frechet_strm_a_c] : ( Y0 @ Y1 @ Y2 ) )
@ frechet_cr_strm_a_c ) ),
inference(definition_unfolding,[],[f1049,f1462]) ).
thf(f1557,plain,
! [X0: c] :
( $true
= ( ^ [Y0: trm_a_c > frechet_strm_a_c > $o,Y1: trm_a_c] :
( ?? @ frechet_strm_a_c
@ ^ [Y2: frechet_strm_a_c] : ( Y0 @ Y1 @ Y2 ) )
@ frechet_cr_strm_a_c
@ ( args @ X0 ) ) ),
inference(definition_unfolding,[],[f1046,f1556]) ).
thf(f1650,plain,
( $true
!= ( ^ [Y0: trm_a_c > frechet_strm_a_c > $o,Y1: trm_a_c] :
( ?? @ frechet_strm_a_c
@ ^ [Y2: frechet_strm_a_c] : ( Y0 @ Y1 @ Y2 ) )
@ frechet_cr_strm_a_c
@ ( args @ i2 ) ) ),
inference(definition_unfolding,[],[f1552,f1556]) ).
thf(f1675,plain,
( $true
!= ( ?? @ frechet_strm_a_c @ ( frechet_cr_strm_a_c @ ( args @ i2 ) ) ) ),
inference(beta-eta_normalization,[],[f1650]) ).
thf(f1676,plain,
! [X1: frechet_strm_a_c] :
( $false
= ( frechet_cr_strm_a_c @ ( args @ i2 ) @ X1 ) ),
inference(pi_proxy_clausification,[],[f1675]) ).
thf(f2159,plain,
! [X0: c] :
( $true
= ( ?? @ frechet_strm_a_c @ ( frechet_cr_strm_a_c @ ( args @ X0 ) ) ) ),
inference(beta-eta_normalization,[],[f1557]) ).
thf(f2160,plain,
! [X0: c] :
( $true
= ( frechet_cr_strm_a_c @ ( args @ X0 ) @ ( sK275 @ X0 ) ) ),
inference(sigma_proxy_clausification,[],[f2159]) ).
thf(f2555,plain,
$true = $false,
inference(constrained_superposition,[],[f1676,f2160]) ).
thf(f2558,plain,
$false,
inference(trivial_inequality_removal,[],[f2555]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP037^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:40:18 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36 % (3309457)Will run a generic schedule for satisfiability detection.
% 0.20/0.36 % (3309462)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2007729478_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.36 % (3309463)% WARNING: option uhcvi not known.
% 0.20/0.36 % (3309463)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3805105505:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.36 % (3309464)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=55243226:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.36 % (3309466)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2646754332:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.36 % (3309468)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2093393904:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.36 % (3309465)dis+10_1_sil=32000:sp=arity:random_seed=2659445947:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.36 % Exception at run slice level
% 0.20/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36 % (3309463)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.36 % (3309466)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.36 % (3309467)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2356409058:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (3309475)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3898292636:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.36 % (3309463)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.36 % Exception at run slice level
% 0.20/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.36 % (3309466)Instruction limit reached!
% 0.20/0.36 % (3309466)------------------------------
% 0.20/0.36 % (3309466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3309466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3309466)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3309466)Termination reason: Instruction limit
% 0.20/0.36 % (3309466)Termination phase: Saturation
% 0.20/0.36 % (3309466)Time elapsed: 0.050 s
% 0.20/0.36 % (3309466)Peak memory usage: 13 MB
% 0.20/0.36 % (3309466)Instructions burned: 117 (million)
% 0.20/0.36 % (3309478)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2423518846:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (3309465)Instruction limit reached!
% 0.20/0.36 % (3309465)------------------------------
% 0.20/0.36 % (3309465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3309465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3309465)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3309465)Termination reason: Instruction limit
% 0.20/0.36 % (3309465)Termination phase: Saturation
% 0.20/0.36 % (3309465)Time elapsed: 0.051 s
% 0.20/0.36 % (3309465)Peak memory usage: 12 MB
% 0.20/0.36 % (3309465)Instructions burned: 103 (million)
% 0.20/0.36 % (3309479)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2927564405:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.20/0.36 % (3309463) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3309457-3309463"...
% 0.20/0.36 % (3309468)Instruction limit reached!
% 0.20/0.36 % (3309468)------------------------------
% 0.20/0.36 % (3309468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3309468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3309468)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3309468)Termination reason: Instruction limit
% 0.20/0.36 % (3309468)Termination phase: Saturation
% 0.20/0.36 % (3309468)Time elapsed: 0.072 s
% 0.20/0.36 % (3309468)Peak memory usage: 14 MB
% 0.20/0.36 % (3309468)Instructions burned: 159 (million)
% 0.20/0.36 % (3309481)ott-21_1_sil=16000:fs=off:random_seed=1017587591:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.20/0.36 % (3309463)...printing done.
% 0.20/0.36 % (3309463)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Theorem for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.37 % (3309463)------------------------------
% 0.18/0.37 % (3309463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.37 % (3309463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.37 % (3309463)CaDiCaL version: 2.1.3
% 0.18/0.37 % (3309463)Termination reason: Refutation
% 0.18/0.37 % (3309463)Time elapsed: 0.081 s
% 0.18/0.37 % (3309463)Peak memory usage: 14 MB
% 0.18/0.37 % (3309463)Instructions burned: 169 (million)
% 0.18/0.37 % (3309457)Success in time 0.136 s
% 0.18/0.37 % Vampire exiting
%------------------------------------------------------------------------------