%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP038^1 : 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 : 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 08:10:27 AM UTC 2026
% Result : Theorem 4.16s 0.91s
% Output : Refutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 17 unt; 0 typ; 1 def)
% Number of atoms : 67 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 134 ( 11 ~; 5 |; 0 &; 114 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 45 ( 44 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 342 ( 339 usr; 17 con; 0-10 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1169339874_sc_sz: $tType ).
thf(type_def_6,type,
produc1821101996_sc_sz: $tType ).
thf(type_def_7,type,
produc1892666919z_real: $tType ).
thf(type_def_8,type,
produc1241881959eal_sz: $tType ).
thf(type_def_9,type,
produc1149990247eal_sz: $tType ).
thf(type_def_10,type,
produc190496183real_c: $tType ).
thf(type_def_11,type,
produc866628903_sc_sz: $tType ).
thf(type_def_12,type,
produc1144880887f_sz_o: $tType ).
thf(type_def_13,type,
produc903182423_set_a: $tType ).
thf(type_def_14,type,
produc1553439972f_sz_o: $tType ).
thf(type_def_15,type,
produc1065634396_o_a_o: $tType ).
thf(type_def_16,type,
bounde472938360z_real: $tType ).
thf(type_def_17,type,
set_De208295462t_unit: $tType ).
thf(type_def_18,type,
set_De455519194t_unit: $tType ).
thf(type_def_19,type,
denota610675952t_unit: $tType ).
thf(type_def_20,type,
denota231621370t_unit: $tType ).
thf(type_def_21,type,
set_Su1783761653um_b_c: $tType ).
thf(type_def_22,type,
set_Fi291318197eal_sz: $tType ).
thf(type_def_23,type,
freche2095075217_sc_sz: $tType ).
thf(type_def_24,type,
produc1691597095_set_a: $tType ).
thf(type_def_25,type,
freche914690577_a_b_c: $tType ).
thf(type_def_26,type,
produc1989635468_a_a_o: $tType ).
thf(type_def_27,type,
produc1561113620_set_a: $tType ).
thf(type_def_28,type,
sum_su737395349um_b_c: $tType ).
thf(type_def_29,type,
product_prod_a_o_a_o: $tType ).
thf(type_def_30,type,
finite824932053eal_sz: $tType ).
thf(type_def_31,type,
finite1398487019real_c: $tType ).
thf(type_def_32,type,
list_f1238882004_sc_sz: $tType ).
thf(type_def_33,type,
frechet_strm_sf_sz: $tType ).
thf(type_def_34,type,
set_Sum_sum_sz_sz: $tType ).
thf(type_def_35,type,
frechet_strm_a_c: $tType ).
thf(type_def_36,type,
set_Sum_sum_c_c: $tType ).
thf(type_def_37,type,
set_trm_sf_sz: $tType ).
thf(type_def_38,type,
set_trm_a_c: $tType ).
thf(type_def_39,type,
formula_sf_sc_sz: $tType ).
thf(type_def_40,type,
trm_sf_sz: $tType ).
thf(type_def_41,type,
trm_a_c: $tType ).
thf(type_def_42,type,
set_a: $tType ).
thf(type_def_43,type,
real: $tType ).
thf(type_def_44,type,
sz: $tType ).
thf(type_def_45,type,
sf: $tType ).
thf(type_def_46,type,
sc: $tType ).
thf(type_def_47,type,
c: $tType ).
thf(type_def_48,type,
a: $tType ).
thf(type_def_49,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_eq1660582207t_unit: ( denota610675952t_unit > $o ) > denota610675952t_unit > denota610675952t_unit > $o ).
thf(func_def_1,type,
bNF_eq_onp_trm_a_c: ( trm_a_c > $o ) > trm_a_c > trm_a_c > $o ).
thf(func_def_2,type,
bNF_eq_onp_trm_sf_sz: ( trm_sf_sz > $o ) > trm_sf_sz > trm_sf_sz > $o ).
thf(func_def_3,type,
bNF_Gr1775200401_sc_sz: set_a > ( a > denota610675952t_unit ) > ( a > produc866628903_sc_sz ) > set_Pr1169339874_sc_sz ).
thf(func_def_4,type,
bounde397081123z_real: ( finite824932053eal_sz > real ) > bounde472938360z_real ).
thf(func_def_5,type,
denota69106024_a_b_c: denota231621370t_unit > denota231621370t_unit > set_Su1783761653um_b_c > $o ).
thf(func_def_6,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(func_def_7,type,
denota102713844ree_sz: produc1149990247eal_sz > produc1149990247eal_sz > set_Sum_sum_sz_sz > $o ).
thf(func_def_8,type,
denota2112424896_a_b_c: denota231621370t_unit > trm_a_c > produc190496183real_c > real ).
thf(func_def_9,type,
denota453121236_sc_sz: denota610675952t_unit > trm_sf_sz > produc1149990247eal_sz > real ).
thf(func_def_10,type,
denota229585092_a_b_c: denota231621370t_unit > trm_a_c > finite1398487019real_c > finite1398487019real_c > real ).
thf(func_def_11,type,
denota1979904720_sc_sz: denota610675952t_unit > trm_sf_sz > finite824932053eal_sz > finite824932053eal_sz > real ).
thf(func_def_12,type,
denota258389581_a_b_c: denota231621370t_unit > $o ).
thf(func_def_13,type,
denota1579475975_sc_sz: denota610675952t_unit > $o ).
thf(func_def_14,type,
denota2042094639_a_b_c: denota231621370t_unit > trm_a_c > finite1398487019real_c > real ).
thf(func_def_15,type,
denota1179238309_sc_sz: denota610675952t_unit > trm_sf_sz > finite824932053eal_sz > real ).
thf(func_def_16,type,
freche585307148_sc_sz: freche2095075217_sc_sz > frechet_strm_sf_sz > finite824932053eal_sz > bounde472938360z_real ).
thf(func_def_17,type,
freche58918398_sc_sz: denota610675952t_unit > freche2095075217_sc_sz > $o ).
thf(func_def_18,type,
frechet_cr_strm_a_c: trm_a_c > frechet_strm_a_c > $o ).
thf(func_def_19,type,
freche1244000341_sf_sz: trm_sf_sz > frechet_strm_sf_sz > $o ).
thf(func_def_20,type,
freche1473475332_a_b_c: denota231621370t_unit > freche914690577_a_b_c ).
thf(func_def_21,type,
freche1784963216_sc_sz: denota610675952t_unit > freche2095075217_sc_sz ).
thf(func_def_22,type,
freche1608036107_a_b_c: freche914690577_a_b_c > denota231621370t_unit ).
thf(func_def_23,type,
freche1421597129_sc_sz: freche2095075217_sc_sz > denota610675952t_unit ).
thf(func_def_24,type,
frechet_raw_term_a_c: frechet_strm_a_c > trm_a_c ).
thf(func_def_25,type,
freche782854530_sf_sz: frechet_strm_sf_sz > trm_sf_sz ).
thf(func_def_26,type,
freche665377492rm_a_c: trm_a_c > frechet_strm_a_c ).
thf(func_def_27,type,
freche1046279700_sf_sz: trm_sf_sz > frechet_strm_sf_sz ).
thf(func_def_28,type,
ids_sz_sf_sc: sz > sz > sz > sf > sf > sf > sc > sc > sc > sc > $o ).
thf(func_def_29,type,
if_Bou1785791806z_real: $o > bounde472938360z_real > bounde472938360z_real > bounde472938360z_real ).
thf(func_def_30,type,
quotie842200089_sc_sz: ( denota610675952t_unit > denota610675952t_unit > $o ) > ( denota610675952t_unit > freche2095075217_sc_sz ) > ( freche2095075217_sc_sz > denota610675952t_unit ) > ( denota610675952t_unit > freche2095075217_sc_sz > $o ) > $o ).
thf(func_def_31,type,
quotie1467858509rm_a_c: ( trm_a_c > trm_a_c > $o ) > ( trm_a_c > frechet_strm_a_c ) > ( frechet_strm_a_c > trm_a_c ) > ( trm_a_c > frechet_strm_a_c > $o ) > $o ).
thf(func_def_32,type,
quotie1549861309_sf_sz: ( trm_sf_sz > trm_sf_sz > $o ) > ( trm_sf_sz > frechet_strm_sf_sz ) > ( frechet_strm_sf_sz > trm_sf_sz ) > ( trm_sf_sz > frechet_strm_sf_sz > $o ) > $o ).
thf(func_def_33,type,
ord_le2003534918unit_o: ( denota610675952t_unit > denota610675952t_unit > $o ) > ( denota610675952t_unit > denota610675952t_unit > $o ) > $o ).
thf(func_def_34,type,
ord_le108471557c_sz_o: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > ( denota610675952t_unit > produc866628903_sc_sz > $o ) > $o ).
thf(func_def_35,type,
ord_le8515534f_sz_o: ( trm_sf_sz > trm_sf_sz > $o ) > ( trm_sf_sz > trm_sf_sz > $o ) > $o ).
thf(func_def_36,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_37,type,
ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).
thf(func_def_38,type,
ord_le787639925eal_sz: finite824932053eal_sz > finite824932053eal_sz > $o ).
thf(func_def_39,type,
ord_le2132572860_o_a_o: produc1065634396_o_a_o > produc1065634396_o_a_o > $o ).
thf(func_def_40,type,
ord_le1643089911_set_a: produc903182423_set_a > produc903182423_set_a > $o ).
thf(func_def_41,type,
ord_le472894788f_sz_o: produc1553439972f_sz_o > produc1553439972f_sz_o > $o ).
thf(func_def_42,type,
ord_le1883211903_o_a_o: product_prod_a_o_a_o > product_prod_a_o_a_o > $o ).
thf(func_def_43,type,
ord_le72828020_set_a: produc1561113620_set_a > produc1561113620_set_a > $o ).
thf(func_def_44,type,
ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).
thf(func_def_45,type,
ord_le473656583eal_sz: produc1149990247eal_sz > produc1149990247eal_sz > $o ).
thf(func_def_46,type,
ord_le978883847eal_sz: produc1241881959eal_sz > produc1241881959eal_sz > $o ).
thf(func_def_47,type,
ord_le1884788375f_sz_o: produc1144880887f_sz_o > produc1144880887f_sz_o > $o ).
thf(func_def_48,type,
ord_le501349868_a_a_o: produc1989635468_a_a_o > produc1989635468_a_a_o > $o ).
thf(func_def_49,type,
ord_le486764743_set_a: produc1691597095_set_a > produc1691597095_set_a > $o ).
thf(func_def_50,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_51,type,
ord_le41263445eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > $o ).
thf(func_def_52,type,
ord_le1230423618_sc_sz: set_Pr1169339874_sc_sz > set_Pr1169339874_sc_sz > $o ).
thf(func_def_53,type,
ord_le929608341um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > $o ).
thf(func_def_54,type,
ord_le1772180283um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > $o ).
thf(func_def_55,type,
ord_le1110131657_sz_sz: set_Sum_sum_sz_sz > set_Sum_sum_sz_sz > $o ).
thf(func_def_56,type,
ord_le1369644495rm_a_c: set_trm_a_c > set_trm_a_c > $o ).
thf(func_def_57,type,
ord_le1697056455_sf_sz: set_trm_sf_sz > set_trm_sf_sz > $o ).
thf(func_def_58,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_59,type,
top_to1399053141c_sz_o: denota610675952t_unit > produc866628903_sc_sz > $o ).
thf(func_def_60,type,
top_to646513176l_sz_o: finite824932053eal_sz > $o ).
thf(func_def_61,type,
top_to1201357528_b_c_o: sum_su737395349um_b_c > $o ).
thf(func_def_62,type,
top_to1787697847eal_sz: produc1241881959eal_sz ).
thf(func_def_63,type,
top_to1873962757eal_sz: set_Fi291318197eal_sz ).
thf(func_def_64,type,
top_to1499569298_sc_sz: set_Pr1169339874_sc_sz ).
thf(func_def_65,type,
top_to524132421um_b_c: set_Su1783761653um_b_c ).
thf(func_def_66,type,
top_to1660572043um_c_c: set_Sum_sum_c_c ).
thf(func_def_67,type,
top_top_set_a: set_a ).
thf(func_def_68,type,
produc1152932438_o_a_o: ( trm_sf_sz > trm_sf_sz > $o ) > ( a > $o ) > produc1065634396_o_a_o ).
thf(func_def_69,type,
produc1543226183_set_a: ( trm_sf_sz > trm_sf_sz > $o ) > set_a > produc903182423_set_a ).
thf(func_def_70,type,
produc593159062f_sz_o: ( a > $o ) > ( trm_sf_sz > trm_sf_sz > $o ) > produc1553439972f_sz_o ).
thf(func_def_71,type,
product_Pair_a_o_a_o: ( a > $o ) > ( a > $o ) > product_prod_a_o_a_o ).
thf(func_def_72,type,
produc1916559302_set_a: ( a > $o ) > set_a > produc1561113620_set_a ).
thf(func_def_73,type,
produc784663575z_real: bounde472938360z_real > bounde472938360z_real > produc1892666919z_real ).
thf(func_def_74,type,
produc789536734_sc_sz: denota610675952t_unit > produc866628903_sc_sz > produc1821101996_sc_sz ).
thf(func_def_75,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_76,type,
produc1308130519eal_sz: finite824932053eal_sz > finite824932053eal_sz > produc1149990247eal_sz ).
thf(func_def_77,type,
produc1822718231_sc_sz: list_f1238882004_sc_sz > list_f1238882004_sc_sz > produc866628903_sc_sz ).
thf(func_def_78,type,
produc1235791063eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > produc1241881959eal_sz ).
thf(func_def_79,type,
produc1174558183f_sz_o: set_a > ( trm_sf_sz > trm_sf_sz > $o ) > produc1144880887f_sz_o ).
thf(func_def_80,type,
produc634809990_a_a_o: set_a > ( a > $o ) > produc1989635468_a_a_o ).
thf(func_def_81,type,
produc1928581911_set_a: set_a > set_a > produc1691597095_set_a ).
thf(func_def_82,type,
produc2013638506_o_a_o: produc1065634396_o_a_o > trm_sf_sz > trm_sf_sz > $o ).
thf(func_def_83,type,
produc407272755_set_a: produc903182423_set_a > trm_sf_sz > trm_sf_sz > $o ).
thf(func_def_84,type,
produc1453865130f_sz_o: produc1553439972f_sz_o > a > $o ).
thf(func_def_85,type,
product_fst_a_o_a_o: product_prod_a_o_a_o > a > $o ).
thf(func_def_86,type,
produc1045727450_set_a: produc1561113620_set_a > a > $o ).
thf(func_def_87,type,
produc870616579z_real: produc1892666919z_real > bounde472938360z_real ).
thf(func_def_88,type,
produc1503602930_sc_sz: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_89,type,
produc2010422875real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_90,type,
produc1111759555eal_sz: produc1149990247eal_sz > finite824932053eal_sz ).
thf(func_def_91,type,
produc548504323_sc_sz: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_92,type,
produc286845635eal_sz: produc1241881959eal_sz > set_Fi291318197eal_sz ).
thf(func_def_93,type,
produc38604755f_sz_o: produc1144880887f_sz_o > set_a ).
thf(func_def_94,type,
produc1911461786_a_a_o: produc1989635468_a_a_o > set_a ).
thf(func_def_95,type,
produc1926412547_set_a: produc1691597095_set_a > set_a ).
thf(func_def_96,type,
produc1630531752_o_a_o: produc1065634396_o_a_o > a > $o ).
thf(func_def_97,type,
produc776178293_set_a: produc903182423_set_a > set_a ).
thf(func_def_98,type,
produc1070758376f_sz_o: produc1553439972f_sz_o > trm_sf_sz > trm_sf_sz > $o ).
thf(func_def_99,type,
product_snd_a_o_a_o: product_prod_a_o_a_o > a > $o ).
thf(func_def_100,type,
produc1305389080_set_a: produc1561113620_set_a > set_a ).
thf(func_def_101,type,
produc1422611269z_real: produc1892666919z_real > bounde472938360z_real ).
thf(func_def_102,type,
produc974239792_sc_sz: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_103,type,
produc314122909real_c: produc190496183real_c > finite1398487019real_c ).
thf(func_def_104,type,
produc1269210629eal_sz: produc1149990247eal_sz > finite824932053eal_sz ).
thf(func_def_105,type,
produc4753477_sc_sz: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_106,type,
produc1746886149eal_sz: produc1241881959eal_sz > set_Fi291318197eal_sz ).
thf(func_def_107,type,
produc407510293f_sz_o: produc1144880887f_sz_o > trm_sf_sz > trm_sf_sz > $o ).
thf(func_def_108,type,
produc23639768_a_a_o: produc1989635468_a_a_o > a > $o ).
thf(func_def_109,type,
produc918972485_set_a: produc1691597095_set_a > set_a ).
thf(func_def_110,type,
collec451781861t_unit: ( denota231621370t_unit > $o ) > set_De455519194t_unit ).
thf(func_def_111,type,
collec1767975749t_unit: ( denota610675952t_unit > $o ) > set_De208295462t_unit ).
thf(func_def_112,type,
collec1002602816eal_sz: ( finite824932053eal_sz > $o ) > set_Fi291318197eal_sz ).
thf(func_def_113,type,
collec1199592193_sc_sz: ( produc1821101996_sc_sz > $o ) > set_Pr1169339874_sc_sz ).
thf(func_def_114,type,
collec2086029184um_b_c: ( sum_su737395349um_b_c > $o ) > set_Su1783761653um_b_c ).
thf(func_def_115,type,
collect_trm_a_c: ( trm_a_c > $o ) > set_trm_a_c ).
thf(func_def_116,type,
collect_trm_sf_sz: ( trm_sf_sz > $o ) > set_trm_sf_sz ).
thf(func_def_117,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_118,type,
static_FVDiff_a_c: trm_a_c > set_Sum_sum_c_c ).
thf(func_def_119,type,
static_FVDiff_sf_sz: trm_sf_sz > set_Sum_sum_sz_sz ).
thf(func_def_120,type,
static_FVT_a_c: trm_a_c > set_Sum_sum_c_c ).
thf(func_def_121,type,
static_FVT_sf_sz: trm_sf_sz > set_Sum_sum_sz_sz ).
thf(func_def_122,type,
static_SIGT_a_c: trm_a_c > set_a ).
thf(func_def_123,type,
sum_In2139678582um_b_c: a > sum_su737395349um_b_c ).
thf(func_def_124,type,
predic913887884_sf_sz: sc > formula_sf_sc_sz ).
thf(func_def_125,type,
dfree_a_c: trm_a_c > $o ).
thf(func_def_126,type,
dfree_sf_sz: trm_sf_sz > $o ).
thf(func_def_127,type,
p_sc_sf_sz: sc > formula_sf_sc_sz ).
thf(func_def_128,type,
empty_sz_sf: sz > trm_sf_sz ).
thf(func_def_129,type,
f0_sf_sz: sf > trm_sf_sz ).
thf(func_def_130,type,
function_a_c: a > ( c > trm_a_c ) > trm_a_c ).
thf(func_def_131,type,
function_sf_sz: sf > ( sz > trm_sf_sz ) > trm_sf_sz ).
thf(func_def_132,type,
plus_a_c: trm_a_c > trm_a_c > trm_a_c ).
thf(func_def_133,type,
plus_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(func_def_134,type,
times_a_c: trm_a_c > trm_a_c > trm_a_c ).
thf(func_def_135,type,
times_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(func_def_136,type,
topolo885751137z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > bounde472938360z_real ) > $o ).
thf(func_def_137,type,
topolo1027477648z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > produc1892666919z_real ) > $o ).
thf(func_def_138,type,
topolo1348430467z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > real ) > $o ).
thf(func_def_139,type,
type_d1092523951t_unit: ( freche2095075217_sc_sz > denota610675952t_unit ) > ( denota610675952t_unit > freche2095075217_sc_sz ) > set_De208295462t_unit > $o ).
thf(func_def_140,type,
type_d1238563341rm_a_c: ( frechet_strm_a_c > trm_a_c ) > ( trm_a_c > frechet_strm_a_c ) > set_trm_a_c > $o ).
thf(func_def_141,type,
type_d46389773_sf_sz: ( frechet_strm_sf_sz > trm_sf_sz ) > ( trm_sf_sz > frechet_strm_sf_sz ) > set_trm_sf_sz > $o ).
thf(func_def_142,type,
member1777622435t_unit: denota231621370t_unit > set_De455519194t_unit > $o ).
thf(func_def_143,type,
member754147591t_unit: denota610675952t_unit > set_De208295462t_unit > $o ).
thf(func_def_144,type,
member1693951742eal_sz: finite824932053eal_sz > set_Fi291318197eal_sz > $o ).
thf(func_def_145,type,
member1057565379_sc_sz: produc1821101996_sc_sz > set_Pr1169339874_sc_sz > $o ).
thf(func_def_146,type,
member1893232190um_b_c: sum_su737395349um_b_c > set_Su1783761653um_b_c > $o ).
thf(func_def_147,type,
member_trm_a_c: trm_a_c > set_trm_a_c > $o ).
thf(func_def_148,type,
member_trm_sf_sz: trm_sf_sz > set_trm_sf_sz > $o ).
thf(func_def_149,type,
member_a: a > set_a > $o ).
thf(func_def_150,type,
i: denota231621370t_unit ).
thf(func_def_151,type,
j: denota231621370t_unit ).
thf(func_def_152,type,
nu: produc190496183real_c ).
thf(func_def_153,type,
nu2: produc190496183real_c ).
thf(func_def_154,type,
t1: trm_a_c ).
thf(func_def_155,type,
t2: trm_a_c ).
thf(func_def_159,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_160,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_161,type,
vAND: $o > $o > $o ).
thf(func_def_162,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_163,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_164,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_165,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_166,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_167,type,
vIMP: $o > $o > $o ).
thf(func_def_168,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_169,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_170,type,
sK0: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_171,type,
sK1: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_172,type,
sK2: trm_a_c > frechet_strm_a_c ).
thf(func_def_173,type,
sK3: trm_sf_sz > frechet_strm_sf_sz ).
thf(func_def_174,type,
sK4: ( trm_a_c > $o ) > frechet_strm_a_c ).
thf(func_def_175,type,
sK5: ( trm_sf_sz > $o ) > frechet_strm_sf_sz ).
thf(func_def_176,type,
sK6: frechet_strm_a_c > trm_a_c ).
thf(func_def_177,type,
sK7: frechet_strm_sf_sz > trm_sf_sz ).
thf(func_def_178,type,
sK8: ( frechet_strm_a_c > $o ) > trm_a_c ).
thf(func_def_179,type,
sK9: ( frechet_strm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_180,type,
sK10: ( finite824932053eal_sz > $o ) > ( finite824932053eal_sz > $o ) > finite824932053eal_sz ).
thf(func_def_181,type,
sK11: ( produc1821101996_sc_sz > $o ) > ( produc1821101996_sc_sz > $o ) > produc1821101996_sc_sz ).
thf(func_def_182,type,
sK12: ( trm_sf_sz > $o ) > ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_183,type,
sK13: ( trm_a_c > $o ) > ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_184,type,
sK14: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_185,type,
sK15: ( sum_su737395349um_b_c > $o ) > ( sum_su737395349um_b_c > $o ) > sum_su737395349um_b_c ).
thf(func_def_186,type,
sK16: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_187,type,
sK17: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_188,type,
sK18: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_189,type,
sK19: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_190,type,
sK20: ( produc1241881959eal_sz > $o ) > set_Fi291318197eal_sz ).
thf(func_def_191,type,
sK21: ( produc1241881959eal_sz > $o ) > set_Fi291318197eal_sz ).
thf(func_def_192,type,
sK22: ( produc1892666919z_real > $o ) > bounde472938360z_real ).
thf(func_def_193,type,
sK23: ( produc1892666919z_real > $o ) > bounde472938360z_real ).
thf(func_def_194,type,
sK24: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_195,type,
sK25: ( produc1821101996_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_196,type,
sK26: produc190496183real_c > finite1398487019real_c ).
thf(func_def_197,type,
sK27: produc190496183real_c > finite1398487019real_c ).
thf(func_def_198,type,
sK28: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_199,type,
sK29: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_200,type,
sK30: produc1241881959eal_sz > set_Fi291318197eal_sz ).
thf(func_def_201,type,
sK31: produc1241881959eal_sz > set_Fi291318197eal_sz ).
thf(func_def_202,type,
sK32: produc1892666919z_real > bounde472938360z_real ).
thf(func_def_203,type,
sK33: produc1892666919z_real > bounde472938360z_real ).
thf(func_def_204,type,
sK34: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_205,type,
sK35: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_206,type,
sK36: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_207,type,
sK37: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_208,type,
sK38: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_209,type,
sK39: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_210,type,
sK40: ( produc1241881959eal_sz > $o ) > set_Fi291318197eal_sz ).
thf(func_def_211,type,
sK41: ( produc1241881959eal_sz > $o ) > set_Fi291318197eal_sz ).
thf(func_def_212,type,
sK42: ( produc1892666919z_real > $o ) > bounde472938360z_real ).
thf(func_def_213,type,
sK43: ( produc1892666919z_real > $o ) > bounde472938360z_real ).
thf(func_def_214,type,
sK44: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_215,type,
sK45: ( produc1821101996_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_216,type,
sK46: produc190496183real_c > finite1398487019real_c ).
thf(func_def_217,type,
sK47: produc190496183real_c > finite1398487019real_c ).
thf(func_def_218,type,
sK48: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_219,type,
sK49: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_220,type,
sK50: produc1241881959eal_sz > set_Fi291318197eal_sz ).
thf(func_def_221,type,
sK51: produc1241881959eal_sz > set_Fi291318197eal_sz ).
thf(func_def_222,type,
sK52: produc1892666919z_real > bounde472938360z_real ).
thf(func_def_223,type,
sK53: produc1892666919z_real > bounde472938360z_real ).
thf(func_def_224,type,
sK54: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_225,type,
sK55: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_226,type,
sK56: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_227,type,
sK57: ( produc1821101996_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_228,type,
sK58: ( produc1821101996_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_229,type,
sK59: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_230,type,
sK60: produc1821101996_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_231,type,
sK61: produc1821101996_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_232,type,
sK62: ( c > trm_a_c ) > c ).
thf(func_def_233,type,
sK63: ( sz > trm_sf_sz ) > sz ).
thf(func_def_234,type,
sK64: ( finite824932053eal_sz > $o ) > ( finite824932053eal_sz > $o ) > set_Fi291318197eal_sz > finite824932053eal_sz ).
thf(func_def_235,type,
sK65: ( produc1821101996_sc_sz > $o ) > ( produc1821101996_sc_sz > $o ) > set_Pr1169339874_sc_sz > produc1821101996_sc_sz ).
thf(func_def_236,type,
sK66: ( trm_sf_sz > $o ) > ( trm_sf_sz > $o ) > set_trm_sf_sz > trm_sf_sz ).
thf(func_def_237,type,
sK67: ( trm_a_c > $o ) > ( trm_a_c > $o ) > set_trm_a_c > trm_a_c ).
thf(func_def_238,type,
sK68: ( a > $o ) > ( a > $o ) > set_a > a ).
thf(func_def_239,type,
sK69: ( sum_su737395349um_b_c > $o ) > ( sum_su737395349um_b_c > $o ) > set_Su1783761653um_b_c > sum_su737395349um_b_c ).
thf(func_def_240,type,
sK70: ( finite824932053eal_sz > finite824932053eal_sz > $o ) > finite824932053eal_sz ).
thf(func_def_241,type,
sK71: ( finite824932053eal_sz > finite824932053eal_sz > $o ) > finite824932053eal_sz ).
thf(func_def_242,type,
sK72: ( produc866628903_sc_sz > denota610675952t_unit > $o ) > denota610675952t_unit ).
thf(func_def_243,type,
sK73: ( produc866628903_sc_sz > denota610675952t_unit > $o ) > produc866628903_sc_sz ).
thf(func_def_244,type,
sK74: ( finite1398487019real_c > finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_245,type,
sK75: ( finite1398487019real_c > finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_246,type,
sK76: set_Fi291318197eal_sz > set_Fi291318197eal_sz > finite824932053eal_sz ).
thf(func_def_247,type,
sK77: set_Pr1169339874_sc_sz > set_Pr1169339874_sc_sz > produc1821101996_sc_sz ).
thf(func_def_248,type,
sK78: set_Su1783761653um_b_c > set_Su1783761653um_b_c > sum_su737395349um_b_c ).
thf(func_def_249,type,
sK79: set_trm_sf_sz > set_trm_sf_sz > trm_sf_sz ).
thf(func_def_250,type,
sK80: set_trm_a_c > set_trm_a_c > trm_a_c ).
thf(func_def_251,type,
sK81: set_a > set_a > a ).
thf(func_def_252,type,
sK82: ( denota231621370t_unit > $o ) > freche914690577_a_b_c ).
thf(func_def_253,type,
sK83: ( denota610675952t_unit > $o ) > freche2095075217_sc_sz ).
thf(func_def_254,type,
sK84: denota231621370t_unit > freche914690577_a_b_c ).
thf(func_def_255,type,
sK85: denota610675952t_unit > freche2095075217_sc_sz ).
thf(func_def_256,type,
sK86: freche914690577_a_b_c > denota231621370t_unit ).
thf(func_def_257,type,
sK87: freche2095075217_sc_sz > denota610675952t_unit ).
thf(func_def_258,type,
sK88: ( freche914690577_a_b_c > $o ) > denota231621370t_unit ).
thf(func_def_259,type,
sK89: ( freche2095075217_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_260,type,
sK90: ( produc1821101996_sc_sz > $o ) > ( produc1821101996_sc_sz > $o ) > produc1821101996_sc_sz ).
thf(func_def_261,type,
sK91: ( trm_sf_sz > $o ) > ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_262,type,
sK92: ( trm_a_c > $o ) > ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_263,type,
sK93: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_264,type,
sK94: ( sum_su737395349um_b_c > $o ) > ( sum_su737395349um_b_c > $o ) > sum_su737395349um_b_c ).
thf(func_def_265,type,
sK95: set_Pr1169339874_sc_sz > set_Pr1169339874_sc_sz > denota610675952t_unit ).
thf(func_def_266,type,
sK96: set_Pr1169339874_sc_sz > set_Pr1169339874_sc_sz > produc866628903_sc_sz ).
thf(func_def_267,type,
sK97: ( finite824932053eal_sz > bounde472938360z_real ) > ( finite824932053eal_sz > bounde472938360z_real ) > real > ( finite824932053eal_sz > real ) > set_Fi291318197eal_sz > finite824932053eal_sz ).
thf(func_def_268,type,
sK98: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_269,type,
sK99: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_270,type,
sK100: a ).
thf(func_def_271,type,
sK101: finite824932053eal_sz ).
thf(func_def_272,type,
sK102: set_a > a ).
thf(func_def_273,type,
sK103: set_Fi291318197eal_sz > finite824932053eal_sz ).
thf(func_def_274,type,
vNOT: $o > $o ).
thf(func_def_275,type,
sK104: set_a > set_a > a ).
thf(func_def_276,type,
sK105: set_a > set_a > a ).
thf(func_def_277,type,
sK106: set_a > set_a > a ).
thf(func_def_278,type,
sK107: set_a > set_a > a ).
thf(func_def_279,type,
sK108: set_a > set_a > a ).
thf(func_def_280,type,
sK109: ( sum_su737395349um_b_c > $o ) > ( sum_su737395349um_b_c > $o ) > sum_su737395349um_b_c ).
thf(func_def_281,type,
sK110: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_282,type,
sK111: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_283,type,
sK112: ( trm_a_c > $o ) > ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_284,type,
sK113: ( trm_sf_sz > $o ) > ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_285,type,
sK114: ( produc1821101996_sc_sz > $o ) > ( produc1821101996_sc_sz > $o ) > produc1821101996_sc_sz ).
thf(func_def_286,type,
sK115: ( finite824932053eal_sz > $o ) > ( finite824932053eal_sz > $o ) > finite824932053eal_sz ).
thf(func_def_287,type,
sK116: set_a > set_a > a ).
thf(func_def_288,type,
sK117: set_a > set_a > a ).
thf(func_def_289,type,
sK118: set_a > set_a > a ).
thf(func_def_290,type,
sK119: set_a > set_a > a ).
thf(func_def_291,type,
sK120: set_a > set_a > a ).
thf(func_def_292,type,
sK121: set_a > set_a > a ).
thf(func_def_293,type,
sK122: set_a > set_a > a ).
thf(func_def_294,type,
sK123: set_a > set_a > a ).
thf(func_def_295,type,
sK124: set_a > set_a > a ).
thf(func_def_296,type,
sK125: set_a > set_a > a ).
thf(func_def_297,type,
sK126: set_a > set_a > a ).
thf(func_def_298,type,
sK127: set_a > set_a > a ).
thf(func_def_299,type,
sK128: set_a > set_a > a ).
thf(func_def_300,type,
sK129: set_a > set_a > a ).
thf(func_def_301,type,
sK130: set_a > set_a > a ).
thf(func_def_302,type,
sK131: set_a > set_a > a ).
thf(func_def_303,type,
sK132: set_a > set_a > a ).
thf(func_def_304,type,
sK133: set_Su1783761653um_b_c > ( sum_su737395349um_b_c > $o ) > sum_su737395349um_b_c ).
thf(func_def_305,type,
sK134: set_a > ( a > $o ) > a ).
thf(func_def_306,type,
sK135: set_a > set_a > a ).
thf(func_def_307,type,
sK136: set_a > set_a > a ).
thf(func_def_308,type,
sK137: set_a > set_a > a ).
thf(func_def_309,type,
sK138: set_a > set_a > ( a > $o ) > a ).
thf(func_def_310,type,
sK139: set_trm_a_c > ( trm_a_c > $o ) > trm_a_c ).
thf(func_def_311,type,
sK140: set_trm_sf_sz > ( trm_sf_sz > $o ) > trm_sf_sz ).
thf(func_def_312,type,
sK141: set_Pr1169339874_sc_sz > ( produc1821101996_sc_sz > $o ) > produc1821101996_sc_sz ).
thf(func_def_313,type,
sK142: set_Fi291318197eal_sz > ( finite824932053eal_sz > $o ) > finite824932053eal_sz ).
thf(func_def_314,type,
sK143: set_a > set_a > ( trm_sf_sz > trm_sf_sz > $o ) > ( trm_sf_sz > trm_sf_sz > $o ) > a ).
thf(func_def_315,type,
sK144: set_a > set_a > ( trm_sf_sz > trm_sf_sz > $o ) > ( trm_sf_sz > trm_sf_sz > $o ) > a ).
thf(func_def_316,type,
sK145: set_a > set_a > a ).
thf(func_def_317,type,
sK146: set_a > set_a > a ).
thf(func_def_318,type,
sK147: ( trm_sf_sz > trm_sf_sz > $o ) > ( trm_sf_sz > trm_sf_sz > $o ) > set_a > set_a > a ).
thf(func_def_319,type,
sK148: ( trm_sf_sz > trm_sf_sz > $o ) > ( trm_sf_sz > trm_sf_sz > $o ) > set_a > set_a > a ).
thf(func_def_320,type,
sK149: set_a > set_a > a ).
thf(func_def_321,type,
sK150: set_a > set_a > a ).
thf(func_def_322,type,
sK151: set_a > set_a > ( a > $o ) > ( a > $o ) > a ).
thf(func_def_323,type,
sK152: set_a > set_a > ( a > $o ) > ( a > $o ) > a ).
thf(func_def_324,type,
sK153: set_a > set_a > a ).
thf(func_def_325,type,
sK154: set_a > set_a > a ).
thf(func_def_326,type,
sK155: ( a > $o ) > ( a > $o ) > set_a > set_a > a ).
thf(func_def_327,type,
sK156: ( a > $o ) > ( a > $o ) > set_a > set_a > a ).
thf(func_def_328,type,
sK157: set_a > set_a > a ).
thf(func_def_329,type,
sK158: set_a > set_a > a ).
thf(func_def_330,type,
sK159: set_a > set_a > set_a > set_a > a ).
thf(func_def_331,type,
sK160: set_a > set_a > set_a > set_a > a ).
thf(func_def_332,type,
sK161: set_a > set_a > set_a > set_a > a ).
thf(func_def_333,type,
sK162: set_a > set_a > set_a > set_a > a ).
thf(func_def_334,type,
sK163: set_a > set_a > a ).
thf(func_def_335,type,
sK164: set_a > set_a > a ).
thf(func_def_336,type,
sK165: set_a > set_a > a ).
thf(func_def_337,type,
sK166: set_a > set_a > a ).
thf(func_def_338,type,
sK167: ( sz > trm_sf_sz ) > sz ).
thf(func_def_339,type,
sK168: ( c > trm_a_c ) > c ).
thf(f2,axiom,
! [X0: produc190496183real_c,X1: produc190496183real_c,X2: trm_a_c,X3: trm_a_c] :
( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ ( plus_a_c @ X2 @ X3 ) ) )
=> ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_agree__plus2) ).
thf(f3,axiom,
denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ t1 @ t2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_agree) ).
thf(f358,conjecture,
denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f359,negated_conjecture,
~ ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) ),
inference(negated_conjecture,[status(cth)],[f358]) ).
thf(f362,plain,
! [X0: produc190496183real_c,X1: produc190496183real_c,X2: trm_a_c,X3: trm_a_c] :
( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ ( plus_a_c @ X2 @ X3 ) ) )
=> ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ X3 ) ) ),
inference(rectify,[],[f2]) ).
thf(f363,plain,
! [X0: produc190496183real_c,X1: produc190496183real_c,X2: trm_a_c,X3: trm_a_c] :
( ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ ( plus_a_c @ X2 @ X3 ) ) )
= $true )
=> ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ X3 ) )
= $true ) ),
inference(fool_elimination,[],[f362]) ).
thf(f364,plain,
denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ t1 @ t2 ) ),
inference(rectify,[],[f3]) ).
thf(f365,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ t1 @ t2 ) ) )
= $true ),
inference(fool_elimination,[],[f364]) ).
thf(f859,plain,
~ ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) ),
inference(rectify,[],[f359]) ).
thf(f860,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
!= $true ),
inference(fool_elimination,[],[f859]) ).
thf(f869,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
!= $true ),
inference(flattening,[],[f860]) ).
thf(f871,plain,
! [X0: produc190496183real_c,X1: produc190496183real_c,X2: trm_a_c,X3: trm_a_c] :
( ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ X3 ) )
= $true )
| ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ ( plus_a_c @ X2 @ X3 ) ) )
!= $true ) ),
inference(ennf_transformation,[],[f363]) ).
thf(f1205,plain,
! [X2: trm_a_c,X3: trm_a_c,X0: produc190496183real_c,X1: produc190496183real_c] :
( ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ ( plus_a_c @ X2 @ X3 ) ) )
!= $true )
| ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVDiff_a_c @ X3 ) )
= $true ) ),
inference(cnf_transformation,[],[f871]) ).
thf(f1206,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ ( plus_a_c @ t1 @ t2 ) ) )
= $true ),
inference(cnf_transformation,[],[f365]) ).
thf(f1607,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
!= $true ),
inference(cnf_transformation,[],[f869]) ).
thf(f2587,definition,
( spl169_9
<=> ( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl169_9])],[avatar_definition]) ).
thf(f2589,plain,
( ( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
!= $true )
| spl169_9 ),
inference(avatar_component_clause,[],[f2587]) ).
thf(f2600,plain,
~ spl169_9,
inference(avatar_split_clause,[],[f1607,f2587]) ).
thf(f9694,plain,
( ( $true != $true )
| ( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
= $true ) ),
inference(constrained_superposition,[],[f1205,f1206]) ).
thf(f9701,plain,
( ( denota1997846518gree_c @ nu @ nu2 @ ( static_FVDiff_a_c @ t2 ) )
= $true ),
inference(trivial_inequality_removal,[],[f9694]) ).
thf(f9716,plain,
( $false
| spl169_9 ),
inference(forward_subsumption_resolution,[],[f9701,f2589]) ).
thf(f9717,plain,
spl169_9,
inference(avatar_contradiction_clause,[],[f9716]) ).
cnf(s12,plain,
~ spl169_9,
inference(sat_conversion,[],[f2600]) ).
cnf(s270,plain,
spl169_9,
inference(sat_conversion,[],[f9717]) ).
cnf(s275,plain,
$false,
inference(rat,[],[s12,s270]) ).
thf(f9718,plain,
$false,
inference(avatar_sat_refutation,[],[s275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP038^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n001.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 19:46:07 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.16/0.91 % (1724935)Will run a generic schedule for satisfiability detection.
% 4.16/0.91 % (1724943)dis+10_1_sil=32000:sp=arity:random_seed=1061859642:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.16/0.91 % (1724941)% WARNING: option uhcvi not known.
% 4.16/0.91 % (1724941)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3013078346:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.16/0.91 % (1724940)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=297404175_2999 on theBenchmark for (2999ds/0Mi)
% 4.16/0.91 % (1724944)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=669763681:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.16/0.91 % (1724945)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3619419501:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.16/0.91 % (1724946)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3313821093:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.16/0.91 % (1724942)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=38336805:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.16/0.91 % (1724943)Instruction limit reached!
% 4.16/0.91 % (1724943)------------------------------
% 4.16/0.91 % (1724943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724943)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724943)Termination reason: Instruction limit
% 4.16/0.91 % (1724943)Termination phase: Saturation
% 4.16/0.91 % (1724943)Time elapsed: 0.025 s
% 4.16/0.91 % (1724943)Peak memory usage: 13 MB
% 4.16/0.91 % (1724943)Instructions burned: 106 (million)
% 4.16/0.91 % (1724941)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.16/0.91 % (1724944)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.16/0.91 % (1724954)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3709431110:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.16/0.91 % Exception at run slice level
% 4.16/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.16/0.91 % (1724941)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.16/0.91 % Exception at run slice level
% 4.16/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.16/0.91 % (1724945)Instruction limit reached!
% 4.16/0.91 % (1724945)------------------------------
% 4.16/0.91 % (1724945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724945)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724945)Termination reason: Instruction limit
% 4.16/0.91 % (1724945)Termination phase: Saturation
% 4.16/0.91 % (1724945)Time elapsed: 0.057 s
% 4.16/0.91 % (1724945)Peak memory usage: 13 MB
% 4.16/0.91 % (1724945)Instructions burned: 132 (million)
% 4.16/0.91 % (1724956)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3057244830:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.16/0.91 % (1724957)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=2670819159:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.16/0.91 % (1724944)Instruction limit reached!
% 4.16/0.91 % (1724944)------------------------------
% 4.16/0.91 % (1724944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724944)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724944)Termination reason: Instruction limit
% 4.16/0.91 % (1724944)Termination phase: Saturation
% 4.16/0.91 % (1724944)Time elapsed: 0.065 s
% 4.16/0.91 % (1724944)Peak memory usage: 13 MB
% 4.16/0.91 % (1724944)Instructions burned: 116 (million)
% 4.16/0.91 % (1724960)ott-21_1_sil=16000:fs=off:random_seed=622823501:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.16/0.91 % (1724957)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.16/0.91 % (1724946)Instruction limit reached!
% 4.16/0.91 % (1724946)------------------------------
% 4.16/0.91 % (1724946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724946)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724946)Termination reason: Instruction limit
% 4.16/0.91 % (1724946)Termination phase: Saturation
% 4.16/0.91 % (1724946)Time elapsed: 0.082 s
% 4.16/0.91 % (1724946)Peak memory usage: 14 MB
% 4.16/0.91 % (1724946)Instructions burned: 159 (million)
% 4.16/0.91 % (1724961)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1841052087:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.16/0.91 % (1724957)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.16/0.91 % (1724964)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1704123537:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.16/0.91 % (1724956)Instruction limit reached!
% 4.16/0.91 % (1724956)------------------------------
% 4.16/0.91 % (1724956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724956)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724956)Termination reason: Instruction limit
% 4.16/0.91 % (1724956)Termination phase: Saturation
% 4.16/0.91 % (1724956)Time elapsed: 0.074 s
% 4.16/0.91 % (1724956)Peak memory usage: 13 MB
% 4.16/0.91 % (1724956)Instructions burned: 131 (million)
% 4.16/0.91 % Exception at run slice level
% 4.16/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.16/0.91 % (1724968)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2873342111:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.16/0.91 % (1724969)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1952762948:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 4.16/0.91 % Exception at run slice level
% 4.16/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.16/0.91 % (1724960)Instruction limit reached!
% 4.16/0.91 % (1724960)------------------------------
% 4.16/0.91 % (1724960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724960)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724960)Termination reason: Instruction limit
% 4.16/0.91 % (1724960)Termination phase: Saturation
% 4.16/0.91 % (1724960)Time elapsed: 0.132 s
% 4.16/0.91 % (1724960)Peak memory usage: 13 MB
% 4.16/0.91 % (1724960)Instructions burned: 180 (million)
% 4.16/0.91 % (1724972)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=143424005:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 4.16/0.91 % (1724972)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.16/0.91 % (1724974)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=411214048:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 4.16/0.91 % (1724974)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.16/0.91 % (1724961)Instruction limit reached!
% 4.16/0.91 % (1724961)------------------------------
% 4.16/0.91 % (1724961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724961)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724961)Termination reason: Instruction limit
% 4.16/0.91 % (1724961)Termination phase: Saturation
% 4.16/0.91 % (1724961)Time elapsed: 0.255 s
% 4.16/0.91 % (1724961)Peak memory usage: 15 MB
% 4.16/0.91 % (1724961)Instructions burned: 477 (million)
% 4.16/0.91 % (1724976)fmb+10_1_sil=64000:random_seed=3082436513:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 4.16/0.91 % (1724972)Instruction limit reached!
% 4.16/0.91 % (1724972)------------------------------
% 4.16/0.91 % (1724972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724972)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724972)Termination reason: Instruction limit
% 4.16/0.91 % (1724972)Termination phase: Saturation
% 4.16/0.91 % (1724972)Time elapsed: 0.167 s
% 4.16/0.91 % (1724972)Peak memory usage: 18 MB
% 4.16/0.91 % (1724972)Instructions burned: 695 (million)
% 4.16/0.91 % (1724978)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2200014391:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 4.16/0.91 % (1724976)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.16/0.91 % Exception at run slice level
% 4.16/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.16/0.91 % Exception at run slice level
% 4.16/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.16/0.91 % (1724981)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1838527684:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 4.16/0.91 % (1724980)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1402864405:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 4.16/0.91 % (1724981)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.16/0.91 % Exception at run slice level
% 4.16/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.16/0.91 % (1724984)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1195413971:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 4.16/0.91 % (1724984)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.16/0.91 % (1724984)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.16/0.91 % (1724957)Instruction limit reached!
% 4.16/0.91 % (1724957)------------------------------
% 4.16/0.91 % (1724957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724957)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724957)Termination reason: Instruction limit
% 4.16/0.91 % (1724957)Termination phase: Saturation
% 4.16/0.91 % (1724957)Time elapsed: 0.482 s
% 4.16/0.91 % (1724957)Peak memory usage: 15 MB
% 4.16/0.91 % (1724957)Instructions burned: 685 (million)
% 4.16/0.91 % (1724986)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4142082800:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 4.16/0.91 % (1724941) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1724935-1724941"...
% 4.16/0.91 % (1724941)...printing done.
% 4.16/0.91 % (1724941)Refutation found. Thanks to Tanya!
% 4.16/0.91 % SZS status Theorem for theBenchmark
% 4.16/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 4.16/0.91 % (1724941)------------------------------
% 4.16/0.91 % (1724941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.91 % (1724941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.91 % (1724941)CaDiCaL version: 2.1.3
% 4.16/0.91 % (1724941)Termination reason: Refutation
% 4.16/0.91 % (1724941)Time elapsed: 0.612 s
% 4.16/0.91 % (1724941)Peak memory usage: 24 MB
% 4.16/0.91 % (1724941)Instructions burned: 1284 (million)
% 4.16/0.91 % (1724935)Success in time 0.682 s
% 4.16/0.91 % Vampire exiting
%------------------------------------------------------------------------------