%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP039^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 08:10:28 AM UTC 2026
% Result : Theorem 0.75s 0.36s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of formulae : 69 ( 32 unt; 0 typ; 2 def)
% Number of atoms : 540 ( 133 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 1219 ( 22 ~; 53 |; 0 &; 992 @)
% ( 2 <=>; 74 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 338 ( 334 usr; 13 con; 0-10 aty)
% ( 76 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 161 ( 0 sgn 73 !; 0 ?; 161 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr754230471real_c: $tType ).
thf(type_def_6,type,
produc640052711real_c: $tType ).
thf(type_def_7,type,
set_Pr2041213564t_unit: $tType ).
thf(type_def_8,type,
set_Pr1169339874_sc_sz: $tType ).
thf(type_def_9,type,
produc999471430t_unit: $tType ).
thf(type_def_10,type,
produc1821101996_sc_sz: $tType ).
thf(type_def_11,type,
set_Pr60491591eal_sz: $tType ).
thf(type_def_12,type,
set_Pr1389752855real_c: $tType ).
thf(type_def_13,type,
set_Pr1774599175_sc_sz: $tType ).
thf(type_def_14,type,
produc1149990247eal_sz: $tType ).
thf(type_def_15,type,
produc190496183real_c: $tType ).
thf(type_def_16,type,
produc866628903_sc_sz: $tType ).
thf(type_def_17,type,
set_De208295462t_unit: $tType ).
thf(type_def_18,type,
denota610675952t_unit: $tType ).
thf(type_def_19,type,
denota231621370t_unit: $tType ).
thf(type_def_20,type,
set_Su1783761653um_b_c: $tType ).
thf(type_def_21,type,
set_Fi1407883041real_c: $tType ).
thf(type_def_22,type,
finite1398487019real_c: $tType ).
thf(type_def_23,type,
list_f1238882004_sc_sz: $tType ).
thf(type_def_24,type,
set_Sum_sum_c_c: $tType ).
thf(type_def_25,type,
formula_sf_sc_sz: $tType ).
thf(type_def_26,type,
formula_a_b_c: $tType ).
thf(type_def_27,type,
set_o: $tType ).
thf(type_def_28,type,
sz: $tType ).
thf(type_def_29,type,
sf: $tType ).
thf(type_def_30,type,
sc: $tType ).
thf(type_def_31,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
coinci501627771_a_b_c: formula_a_b_c > $o ).
thf(func_def_1,type,
denota69106024_a_b_c: denota231621370t_unit > denota231621370t_unit > set_Su1783761653um_b_c > $o ).
thf(func_def_2,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(func_def_3,type,
denota968303861_a_b_c: denota231621370t_unit > formula_a_b_c > set_Pr1389752855real_c ).
thf(func_def_4,type,
denota1711272799_sc_sz: denota610675952t_unit > formula_sf_sc_sz > set_Pr60491591eal_sz ).
thf(func_def_5,type,
denota1946510237_sc_sz: formula_sf_sc_sz > $o ).
thf(func_def_6,type,
denota1579475975_sc_sz: denota610675952t_unit > $o ).
thf(func_def_7,type,
ids_sz_sf_sc: sz > sz > sz > sf > sf > sf > sc > sc > sc > sc > $o ).
thf(func_def_8,type,
top_to1399053141c_sz_o: denota610675952t_unit > produc866628903_sc_sz > $o ).
thf(func_def_9,type,
top_to964419200al_c_o: finite1398487019real_c > finite1398487019real_c > $o ).
thf(func_def_10,type,
top_to1499569298_sc_sz: set_Pr1169339874_sc_sz ).
thf(func_def_11,type,
top_to226056039real_c: set_Pr1389752855real_c ).
thf(func_def_12,type,
top_to1660572043um_c_c: set_Sum_sum_c_c ).
thf(func_def_13,type,
produc789536734_sc_sz: denota610675952t_unit > produc866628903_sc_sz > produc1821101996_sc_sz ).
thf(func_def_14,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_15,type,
produc1822718231_sc_sz: list_f1238882004_sc_sz > list_f1238882004_sc_sz > produc866628903_sc_sz ).
thf(func_def_16,type,
produc1687028567real_c: produc190496183real_c > produc190496183real_c > produc640052711real_c ).
thf(func_def_17,type,
produc502616768t_unit: produc866628903_sc_sz > denota610675952t_unit > produc999471430t_unit ).
thf(func_def_18,type,
produc159603053_sc_sz: set_De208295462t_unit > ( denota610675952t_unit > set_Pr1774599175_sc_sz ) > set_Pr1169339874_sc_sz ).
thf(func_def_19,type,
produc563345056real_c: set_Fi1407883041real_c > ( finite1398487019real_c > set_Fi1407883041real_c ) > set_Pr1389752855real_c ).
thf(func_def_20,type,
produc1017530376real_c: set_Pr1389752855real_c > ( produc190496183real_c > set_Pr1389752855real_c ) > set_Pr754230471real_c ).
thf(func_def_21,type,
produc2020166735t_unit: set_Pr1774599175_sc_sz > ( produc866628903_sc_sz > set_De208295462t_unit ) > set_Pr2041213564t_unit ).
thf(func_def_22,type,
produc793407943_sc_sz: ( denota610675952t_unit > denota610675952t_unit ) > produc999471430t_unit > produc999471430t_unit ).
thf(func_def_23,type,
produc981295297real_c: ( finite1398487019real_c > finite1398487019real_c ) > produc190496183real_c > produc190496183real_c ).
thf(func_def_24,type,
produc233219286_sc_sz: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz ) > produc866628903_sc_sz > produc866628903_sc_sz ).
thf(func_def_25,type,
produc2089853305real_c: ( produc190496183real_c > produc190496183real_c ) > produc640052711real_c > produc640052711real_c ).
thf(func_def_26,type,
produc1959054510t_unit: ( produc866628903_sc_sz > produc866628903_sc_sz ) > produc1821101996_sc_sz > produc1821101996_sc_sz ).
thf(func_def_27,type,
produc1086673900c_sz_o: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit > produc866628903_sc_sz > $o ).
thf(func_def_28,type,
produc753314315real_c: ( produc1821101996_sc_sz > produc190496183real_c ) > denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c ).
thf(func_def_29,type,
produc1827049067real_c: ( produc1821101996_sc_sz > set_Pr1389752855real_c ) > denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ).
thf(func_def_30,type,
produc1716060341al_c_o: ( produc190496183real_c > $o ) > finite1398487019real_c > finite1398487019real_c > $o ).
thf(func_def_31,type,
produc1119115220real_c: ( produc190496183real_c > produc190496183real_c ) > finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(func_def_32,type,
produc880541325c_sz_o: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o ).
thf(func_def_33,type,
produc440529997al_c_o: ( produc640052711real_c > $o ) > produc190496183real_c > produc190496183real_c > $o ).
thf(func_def_34,type,
produc38128778unit_o: ( produc999471430t_unit > $o ) > produc866628903_sc_sz > denota610675952t_unit > $o ).
thf(func_def_35,type,
produc295339066_sc_sz: ( produc999471430t_unit > produc1821101996_sc_sz ) > produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz ).
thf(func_def_36,type,
produc198687651c_sz_o: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > produc1821101996_sc_sz > $o ).
thf(func_def_37,type,
produc383750338real_c: ( denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c ) > produc1821101996_sc_sz > produc190496183real_c ).
thf(func_def_38,type,
produc1894848802real_c: ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > produc1821101996_sc_sz > set_Pr1389752855real_c ).
thf(func_def_39,type,
produc1442549981real_c: ( finite1398487019real_c > finite1398487019real_c > produc190496183real_c ) > produc190496183real_c > produc190496183real_c ).
thf(func_def_40,type,
produc2099580355_sc_sz: ( produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz ) > produc999471430t_unit > produc1821101996_sc_sz ).
thf(func_def_41,type,
produc403791768_sc_sz: ( denota610675952t_unit > denota610675952t_unit ) > ( produc866628903_sc_sz > produc866628903_sc_sz ) > produc1821101996_sc_sz > produc1821101996_sc_sz ).
thf(func_def_42,type,
produc1612557567real_c: ( denota610675952t_unit > finite1398487019real_c ) > ( produc866628903_sc_sz > finite1398487019real_c ) > produc1821101996_sc_sz > produc190496183real_c ).
thf(func_def_43,type,
produc1784590311_sc_sz: ( finite1398487019real_c > denota610675952t_unit ) > ( finite1398487019real_c > produc866628903_sc_sz ) > produc190496183real_c > produc1821101996_sc_sz ).
thf(func_def_44,type,
produc368345510real_c: ( finite1398487019real_c > finite1398487019real_c ) > ( finite1398487019real_c > finite1398487019real_c ) > produc190496183real_c > produc190496183real_c ).
thf(func_def_45,type,
produc619560141c_sz_o: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > produc1821101996_sc_sz > $o ).
thf(func_def_46,type,
produc1920474870real_c: ( denota610675952t_unit > produc866628903_sc_sz > finite1398487019real_c ) > produc1821101996_sc_sz > finite1398487019real_c ).
thf(func_def_47,type,
produc448466487_sc_sz: ( denota610675952t_unit > produc866628903_sc_sz > produc1821101996_sc_sz ) > produc1821101996_sc_sz > produc1821101996_sc_sz ).
thf(func_def_48,type,
produc1575513068real_c: ( denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c ) > produc1821101996_sc_sz > produc190496183real_c ).
thf(func_def_49,type,
produc2068697644real_c: ( denota610675952t_unit > produc866628903_sc_sz > set_Fi1407883041real_c ) > produc1821101996_sc_sz > set_Fi1407883041real_c ).
thf(func_def_50,type,
produc237521996real_c: ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > produc1821101996_sc_sz > set_Pr1389752855real_c ).
thf(func_def_51,type,
produc353381908al_c_o: ( finite1398487019real_c > finite1398487019real_c > $o ) > produc190496183real_c > $o ).
thf(func_def_52,type,
produc567249007real_c: ( finite1398487019real_c > finite1398487019real_c > finite1398487019real_c ) > produc190496183real_c > finite1398487019real_c ).
thf(func_def_53,type,
produc107375667real_c: ( finite1398487019real_c > finite1398487019real_c > produc190496183real_c ) > produc190496183real_c > produc190496183real_c ).
thf(func_def_54,type,
produc1341776291_sc_sz: ( finite1398487019real_c > finite1398487019real_c > produc866628903_sc_sz ) > produc190496183real_c > produc866628903_sc_sz ).
thf(func_def_55,type,
produc29022117real_c: ( finite1398487019real_c > finite1398487019real_c > set_Fi1407883041real_c ) > produc190496183real_c > set_Fi1407883041real_c ).
thf(func_def_56,type,
produc923381907real_c: ( finite1398487019real_c > finite1398487019real_c > set_Pr1389752855real_c ) > produc190496183real_c > set_Pr1389752855real_c ).
thf(func_def_57,type,
produc642283651_sc_sz: ( finite1398487019real_c > finite1398487019real_c > set_Pr1774599175_sc_sz ) > produc190496183real_c > set_Pr1774599175_sc_sz ).
thf(func_def_58,type,
produc2039065452c_sz_o: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o ) > produc866628903_sc_sz > $o ).
thf(func_def_59,type,
produc236226839real_c: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > finite1398487019real_c ) > produc866628903_sc_sz > finite1398487019real_c ).
thf(func_def_60,type,
produc126255499real_c: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > produc190496183real_c ) > produc866628903_sc_sz > produc190496183real_c ).
thf(func_def_61,type,
produc1449736269real_c: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Fi1407883041real_c ) > produc866628903_sc_sz > set_Fi1407883041real_c ).
thf(func_def_62,type,
produc6841835real_c: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1389752855real_c ) > produc866628903_sc_sz > set_Pr1389752855real_c ).
thf(func_def_63,type,
produc1563580891_sc_sz: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1774599175_sc_sz ) > produc866628903_sc_sz > set_Pr1774599175_sc_sz ).
thf(func_def_64,type,
produc1726730540al_c_o: ( produc190496183real_c > produc190496183real_c > $o ) > produc640052711real_c > $o ).
thf(func_def_65,type,
produc344593239real_c: ( produc190496183real_c > produc190496183real_c > finite1398487019real_c ) > produc640052711real_c > finite1398487019real_c ).
thf(func_def_66,type,
produc1066779277real_c: ( produc190496183real_c > produc190496183real_c > set_Fi1407883041real_c ) > produc640052711real_c > set_Fi1407883041real_c ).
thf(func_def_67,type,
produc1718498667unit_o: ( produc866628903_sc_sz > denota610675952t_unit > $o ) > produc999471430t_unit > $o ).
thf(func_def_68,type,
produc1753599960real_c: ( produc866628903_sc_sz > denota610675952t_unit > finite1398487019real_c ) > produc999471430t_unit > finite1398487019real_c ).
thf(func_def_69,type,
produc435149849_sc_sz: ( produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz ) > produc999471430t_unit > produc1821101996_sc_sz ).
thf(func_def_70,type,
produc645763722real_c: ( produc866628903_sc_sz > denota610675952t_unit > produc190496183real_c ) > produc999471430t_unit > produc190496183real_c ).
thf(func_def_71,type,
produc1368849166real_c: ( produc866628903_sc_sz > denota610675952t_unit > set_Fi1407883041real_c ) > produc999471430t_unit > set_Fi1407883041real_c ).
thf(func_def_72,type,
produc593754858real_c: ( produc866628903_sc_sz > denota610675952t_unit > set_Pr1389752855real_c ) > produc999471430t_unit > set_Pr1389752855real_c ).
thf(func_def_73,type,
produc1503602930_sc_sz: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_74,type,
produc532048446_sc_sz: produc1821101996_sc_sz > produc999471430t_unit ).
thf(func_def_75,type,
produc704157711real_c: produc190496183real_c > produc190496183real_c ).
thf(func_def_76,type,
produc1145837239_sc_sz: produc866628903_sc_sz > produc866628903_sc_sz ).
thf(func_def_77,type,
produc350724343real_c: produc640052711real_c > produc640052711real_c ).
thf(func_def_78,type,
produc245128480t_unit: produc999471430t_unit > produc1821101996_sc_sz ).
thf(func_def_79,type,
produc3751594real_c: set_Fi1407883041real_c > set_Fi1407883041real_c > set_Pr1389752855real_c ).
thf(func_def_80,type,
inv_im1827249322real_c: set_Pr1389752855real_c > ( finite1398487019real_c > finite1398487019real_c ) > set_Pr1389752855real_c ).
thf(func_def_81,type,
collec230941376real_c: ( finite1398487019real_c > $o ) > set_Fi1407883041real_c ).
thf(func_def_82,type,
collec1199592193_sc_sz: ( produc1821101996_sc_sz > $o ) > set_Pr1169339874_sc_sz ).
thf(func_def_83,type,
collec1643251106real_c: ( produc190496183real_c > $o ) > set_Pr1389752855real_c ).
thf(func_def_84,type,
collec2036662930_sc_sz: ( produc866628903_sc_sz > $o ) > set_Pr1774599175_sc_sz ).
thf(func_def_85,type,
collec1126017874real_c: ( produc640052711real_c > $o ) > set_Pr754230471real_c ).
thf(func_def_86,type,
collec377961627t_unit: ( produc999471430t_unit > $o ) > set_Pr2041213564t_unit ).
thf(func_def_87,type,
image_1514048989real_c: ( finite1398487019real_c > finite1398487019real_c ) > set_Fi1407883041real_c > set_Fi1407883041real_c ).
thf(func_def_88,type,
image_1461287749real_c: ( finite1398487019real_c > produc190496183real_c ) > set_Fi1407883041real_c > set_Pr1389752855real_c ).
thf(func_def_89,type,
image_290183605_sc_sz: ( finite1398487019real_c > produc866628903_sc_sz ) > set_Fi1407883041real_c > set_Pr1774599175_sc_sz ).
thf(func_def_90,type,
image_1746662005real_c: ( finite1398487019real_c > produc640052711real_c ) > set_Fi1407883041real_c > set_Pr754230471real_c ).
thf(func_def_91,type,
image_1641704997c_sz_o: ( produc1821101996_sc_sz > $o ) > set_Pr1169339874_sc_sz > set_o ).
thf(func_def_92,type,
image_1268968350real_c: ( produc1821101996_sc_sz > finite1398487019real_c ) > set_Pr1169339874_sc_sz > set_Fi1407883041real_c ).
thf(func_def_93,type,
image_1726193375_sc_sz: ( produc1821101996_sc_sz > produc1821101996_sc_sz ) > set_Pr1169339874_sc_sz > set_Pr1169339874_sc_sz ).
thf(func_def_94,type,
image_386905412real_c: ( produc1821101996_sc_sz > produc190496183real_c ) > set_Pr1169339874_sc_sz > set_Pr1389752855real_c ).
thf(func_def_95,type,
image_904562809t_unit: ( produc1821101996_sc_sz > produc999471430t_unit ) > set_Pr1169339874_sc_sz > set_Pr2041213564t_unit ).
thf(func_def_96,type,
image_14429021real_c: ( produc190496183real_c > finite1398487019real_c ) > set_Pr1389752855real_c > set_Fi1407883041real_c ).
thf(func_def_97,type,
image_1259833374_sc_sz: ( produc190496183real_c > produc1821101996_sc_sz ) > set_Pr1389752855real_c > set_Pr1169339874_sc_sz ).
thf(func_def_98,type,
image_738229701real_c: ( produc190496183real_c > produc190496183real_c ) > set_Pr1389752855real_c > set_Pr1389752855real_c ).
thf(func_def_99,type,
image_388766773_sc_sz: ( produc190496183real_c > produc866628903_sc_sz ) > set_Pr1389752855real_c > set_Pr1774599175_sc_sz ).
thf(func_def_100,type,
image_1332486093real_c: ( produc866628903_sc_sz > finite1398487019real_c ) > set_Pr1774599175_sc_sz > set_Fi1407883041real_c ).
thf(func_def_101,type,
image_226055310_sc_sz: ( produc866628903_sc_sz > produc1821101996_sc_sz ) > set_Pr1774599175_sc_sz > set_Pr1169339874_sc_sz ).
thf(func_def_102,type,
image_1121381717real_c: ( produc866628903_sc_sz > produc190496183real_c ) > set_Pr1774599175_sc_sz > set_Pr1389752855real_c ).
thf(func_def_103,type,
image_1313166277_sc_sz: ( produc866628903_sc_sz > produc866628903_sc_sz ) > set_Pr1774599175_sc_sz > set_Pr1774599175_sc_sz ).
thf(func_def_104,type,
image_768765061real_c: ( produc866628903_sc_sz > produc640052711real_c ) > set_Pr1774599175_sc_sz > set_Pr754230471real_c ).
thf(func_def_105,type,
image_1551908392t_unit: ( produc866628903_sc_sz > produc999471430t_unit ) > set_Pr1774599175_sc_sz > set_Pr2041213564t_unit ).
thf(func_def_106,type,
image_124598413real_c: ( produc640052711real_c > finite1398487019real_c ) > set_Pr754230471real_c > set_Fi1407883041real_c ).
thf(func_def_107,type,
image_2041365445real_c: ( produc640052711real_c > produc640052711real_c ) > set_Pr754230471real_c > set_Pr754230471real_c ).
thf(func_def_108,type,
image_1269062456real_c: ( produc999471430t_unit > finite1398487019real_c ) > set_Pr2041213564t_unit > set_Fi1407883041real_c ).
thf(func_def_109,type,
image_1426741113_sc_sz: ( produc999471430t_unit > produc1821101996_sc_sz ) > set_Pr2041213564t_unit > set_Pr1169339874_sc_sz ).
thf(func_def_110,type,
static_FVF_a_b_c: formula_a_b_c > set_Sum_sum_c_c ).
thf(func_def_111,type,
static_SIGF_a_b_c: formula_a_b_c > set_Su1783761653um_b_c ).
thf(func_def_112,type,
equiv_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).
thf(func_def_113,type,
implies_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).
thf(func_def_114,type,
predic913887884_sf_sz: sc > formula_sf_sc_sz ).
thf(func_def_115,type,
p_sc_sf_sz: sc > formula_sf_sc_sz ).
thf(func_def_116,type,
member_o: $o > set_o > $o ).
thf(func_def_117,type,
member754147591t_unit: denota610675952t_unit > set_De208295462t_unit > $o ).
thf(func_def_118,type,
member1261661570real_c: finite1398487019real_c > set_Fi1407883041real_c > $o ).
thf(func_def_119,type,
member1057565379_sc_sz: produc1821101996_sc_sz > set_Pr1169339874_sc_sz > $o ).
thf(func_def_120,type,
member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).
thf(func_def_121,type,
member630771088eal_sz: produc1149990247eal_sz > set_Pr60491591eal_sz > $o ).
thf(func_def_122,type,
member245028432_sc_sz: produc866628903_sc_sz > set_Pr1774599175_sc_sz > $o ).
thf(func_def_123,type,
member346808080real_c: produc640052711real_c > set_Pr754230471real_c > $o ).
thf(func_def_124,type,
member235934813t_unit: produc999471430t_unit > set_Pr2041213564t_unit > $o ).
thf(func_def_125,type,
phi: formula_a_b_c ).
thf(func_def_127,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_128,type,
vIMP: $o > $o > $o ).
thf(func_def_129,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_130,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_135,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_138,type,
vAND: $o > $o > $o ).
thf(func_def_139,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_140,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_141,type,
vNOT: $o > $o ).
thf(func_def_142,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_144,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_146,type,
sK0: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_147,type,
sK1: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_148,type,
sK2: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_149,type,
sK3: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_150,type,
sK4: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_151,type,
sK5: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_152,type,
sK6: produc640052711real_c > produc190496183real_c ).
thf(func_def_153,type,
sK7: produc640052711real_c > finite1398487019real_c ).
thf(func_def_154,type,
sK8: produc640052711real_c > finite1398487019real_c ).
thf(func_def_155,type,
sK9: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_156,type,
sK10: produc1821101996_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_157,type,
sK11: produc1821101996_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_158,type,
sK12: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_159,type,
sK13: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_160,type,
sK14: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_161,type,
sK15: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_162,type,
sK16: ( produc999471430t_unit > $o ) > produc866628903_sc_sz ).
thf(func_def_163,type,
sK17: ( produc999471430t_unit > $o ) > denota610675952t_unit ).
thf(func_def_164,type,
sK18: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_165,type,
sK19: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_166,type,
sK20: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_167,type,
sK21: ( produc1821101996_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_168,type,
sK22: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_169,type,
sK23: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_170,type,
sK24: produc190496183real_c > finite1398487019real_c ).
thf(func_def_171,type,
sK25: produc190496183real_c > finite1398487019real_c ).
thf(func_def_172,type,
sK26: produc999471430t_unit > produc866628903_sc_sz ).
thf(func_def_173,type,
sK27: produc999471430t_unit > denota610675952t_unit ).
thf(func_def_174,type,
sK28: produc640052711real_c > produc190496183real_c ).
thf(func_def_175,type,
sK29: produc640052711real_c > produc190496183real_c ).
thf(func_def_176,type,
sK30: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_177,type,
sK31: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_178,type,
sK32: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_179,type,
sK33: ( produc866628903_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_180,type,
sK34: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_181,type,
sK35: ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_182,type,
sK36: ( produc999471430t_unit > $o ) > produc866628903_sc_sz ).
thf(func_def_183,type,
sK37: ( produc999471430t_unit > $o ) > denota610675952t_unit ).
thf(func_def_184,type,
sK38: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_185,type,
sK39: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_186,type,
sK40: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_187,type,
sK41: ( produc1821101996_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_188,type,
sK42: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_189,type,
sK43: produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_190,type,
sK44: produc190496183real_c > finite1398487019real_c ).
thf(func_def_191,type,
sK45: produc190496183real_c > finite1398487019real_c ).
thf(func_def_192,type,
sK46: produc999471430t_unit > produc866628903_sc_sz ).
thf(func_def_193,type,
sK47: produc999471430t_unit > denota610675952t_unit ).
thf(func_def_194,type,
sK48: produc640052711real_c > produc190496183real_c ).
thf(func_def_195,type,
sK49: produc640052711real_c > produc190496183real_c ).
thf(func_def_196,type,
sK50: produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_197,type,
sK51: produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_198,type,
sK52: ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(func_def_199,type,
sK53: ( produc640052711real_c > $o ) > finite1398487019real_c ).
thf(func_def_200,type,
sK54: ( produc640052711real_c > $o ) > finite1398487019real_c ).
thf(func_def_201,type,
sK55: ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_202,type,
sK56: ( produc1821101996_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_203,type,
sK57: ( produc1821101996_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_204,type,
sK58: ( produc190496183real_c > $o ) > ( produc190496183real_c > $o ) > produc190496183real_c ).
thf(func_def_205,type,
sK59: ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > produc190496183real_c > produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_206,type,
sK60: ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > produc190496183real_c > produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_207,type,
sK61: ( finite1398487019real_c > finite1398487019real_c > set_Fi1407883041real_c ) > finite1398487019real_c > produc190496183real_c > finite1398487019real_c ).
thf(func_def_208,type,
sK62: ( finite1398487019real_c > finite1398487019real_c > set_Fi1407883041real_c ) > finite1398487019real_c > produc190496183real_c > finite1398487019real_c ).
thf(func_def_209,type,
sK63: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Fi1407883041real_c ) > finite1398487019real_c > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_210,type,
sK64: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Fi1407883041real_c ) > finite1398487019real_c > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_211,type,
sK65: ( finite1398487019real_c > finite1398487019real_c > set_Pr1389752855real_c ) > produc190496183real_c > produc190496183real_c > finite1398487019real_c ).
thf(func_def_212,type,
sK66: ( finite1398487019real_c > finite1398487019real_c > set_Pr1389752855real_c ) > produc190496183real_c > produc190496183real_c > finite1398487019real_c ).
thf(func_def_213,type,
sK67: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1389752855real_c ) > produc190496183real_c > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_214,type,
sK68: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1389752855real_c ) > produc190496183real_c > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_215,type,
sK69: ( finite1398487019real_c > finite1398487019real_c > set_Pr1774599175_sc_sz ) > produc866628903_sc_sz > produc190496183real_c > finite1398487019real_c ).
thf(func_def_216,type,
sK70: ( finite1398487019real_c > finite1398487019real_c > set_Pr1774599175_sc_sz ) > produc866628903_sc_sz > produc190496183real_c > finite1398487019real_c ).
thf(func_def_217,type,
sK71: ( produc190496183real_c > produc190496183real_c > set_Fi1407883041real_c ) > finite1398487019real_c > produc640052711real_c > produc190496183real_c ).
thf(func_def_218,type,
sK72: ( produc190496183real_c > produc190496183real_c > set_Fi1407883041real_c ) > finite1398487019real_c > produc640052711real_c > produc190496183real_c ).
thf(func_def_219,type,
sK73: ( denota610675952t_unit > produc866628903_sc_sz > set_Fi1407883041real_c ) > finite1398487019real_c > produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_220,type,
sK74: ( denota610675952t_unit > produc866628903_sc_sz > set_Fi1407883041real_c ) > finite1398487019real_c > produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_221,type,
sK75: ( produc866628903_sc_sz > denota610675952t_unit > set_Fi1407883041real_c ) > finite1398487019real_c > produc999471430t_unit > produc866628903_sc_sz ).
thf(func_def_222,type,
sK76: ( produc866628903_sc_sz > denota610675952t_unit > set_Fi1407883041real_c ) > finite1398487019real_c > produc999471430t_unit > denota610675952t_unit ).
thf(func_def_223,type,
sK77: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1774599175_sc_sz ) > produc866628903_sc_sz > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_224,type,
sK78: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1774599175_sc_sz ) > produc866628903_sc_sz > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_225,type,
sK79: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o ) > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_226,type,
sK80: ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o ) > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_227,type,
sK81: ( finite1398487019real_c > finite1398487019real_c > $o ) > produc190496183real_c > finite1398487019real_c ).
thf(func_def_228,type,
sK82: ( finite1398487019real_c > finite1398487019real_c > $o ) > produc190496183real_c > finite1398487019real_c ).
thf(func_def_229,type,
sK83: ( produc866628903_sc_sz > denota610675952t_unit > $o ) > produc999471430t_unit > produc866628903_sc_sz ).
thf(func_def_230,type,
sK84: ( produc866628903_sc_sz > denota610675952t_unit > $o ) > produc999471430t_unit > denota610675952t_unit ).
thf(func_def_231,type,
sK85: ( produc190496183real_c > produc190496183real_c > $o ) > produc640052711real_c > produc190496183real_c ).
thf(func_def_232,type,
sK86: ( produc190496183real_c > produc190496183real_c > $o ) > produc640052711real_c > produc190496183real_c ).
thf(func_def_233,type,
sK87: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_234,type,
sK88: ( denota610675952t_unit > produc866628903_sc_sz > $o ) > produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_235,type,
sK89: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > produc190496183real_c > denota610675952t_unit ).
thf(func_def_236,type,
sK90: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > produc190496183real_c > produc866628903_sc_sz ).
thf(func_def_237,type,
sK91: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > set_Fi1407883041real_c ) > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_238,type,
sK92: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > set_Fi1407883041real_c ) > finite1398487019real_c > finite1398487019real_c ).
thf(func_def_239,type,
sK93: produc866628903_sc_sz > ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Fi1407883041real_c ) > finite1398487019real_c > list_f1238882004_sc_sz ).
thf(func_def_240,type,
sK94: produc866628903_sc_sz > ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Fi1407883041real_c ) > finite1398487019real_c > list_f1238882004_sc_sz ).
thf(func_def_241,type,
sK95: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > set_Pr1389752855real_c ) > produc190496183real_c > finite1398487019real_c ).
thf(func_def_242,type,
sK96: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > set_Pr1389752855real_c ) > produc190496183real_c > finite1398487019real_c ).
thf(func_def_243,type,
sK97: produc866628903_sc_sz > ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1389752855real_c ) > produc190496183real_c > list_f1238882004_sc_sz ).
thf(func_def_244,type,
sK98: produc866628903_sc_sz > ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1389752855real_c ) > produc190496183real_c > list_f1238882004_sc_sz ).
thf(func_def_245,type,
sK99: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > set_Pr1774599175_sc_sz ) > produc866628903_sc_sz > finite1398487019real_c ).
thf(func_def_246,type,
sK100: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > set_Pr1774599175_sc_sz ) > produc866628903_sc_sz > finite1398487019real_c ).
thf(func_def_247,type,
sK101: produc640052711real_c > ( produc190496183real_c > produc190496183real_c > set_Fi1407883041real_c ) > finite1398487019real_c > produc190496183real_c ).
thf(func_def_248,type,
sK102: produc640052711real_c > ( produc190496183real_c > produc190496183real_c > set_Fi1407883041real_c ) > finite1398487019real_c > produc190496183real_c ).
thf(func_def_249,type,
sK103: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > set_Fi1407883041real_c ) > finite1398487019real_c > denota610675952t_unit ).
thf(func_def_250,type,
sK104: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > set_Fi1407883041real_c ) > finite1398487019real_c > produc866628903_sc_sz ).
thf(func_def_251,type,
sK105: produc999471430t_unit > ( produc866628903_sc_sz > denota610675952t_unit > set_Fi1407883041real_c ) > finite1398487019real_c > produc866628903_sc_sz ).
thf(func_def_252,type,
sK106: produc999471430t_unit > ( produc866628903_sc_sz > denota610675952t_unit > set_Fi1407883041real_c ) > finite1398487019real_c > denota610675952t_unit ).
thf(func_def_253,type,
sK107: produc866628903_sc_sz > ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1774599175_sc_sz ) > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_254,type,
sK108: produc866628903_sc_sz > ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1774599175_sc_sz ) > produc866628903_sc_sz > list_f1238882004_sc_sz ).
thf(func_def_255,type,
sK109: ( produc1821101996_sc_sz > produc190496183real_c ) > ( denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c ) > denota610675952t_unit ).
thf(func_def_256,type,
sK110: ( produc1821101996_sc_sz > produc190496183real_c ) > ( denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c ) > produc866628903_sc_sz ).
thf(func_def_257,type,
sK111: ( produc1821101996_sc_sz > $o ) > ( denota610675952t_unit > produc866628903_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_258,type,
sK112: ( produc1821101996_sc_sz > $o ) > ( denota610675952t_unit > produc866628903_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_259,type,
sK113: ( produc1821101996_sc_sz > set_Pr1389752855real_c ) > ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > denota610675952t_unit ).
thf(func_def_260,type,
sK114: ( produc1821101996_sc_sz > set_Pr1389752855real_c ) > ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > produc866628903_sc_sz ).
thf(func_def_261,type,
sK115: ( produc190496183real_c > produc190496183real_c ) > ( finite1398487019real_c > finite1398487019real_c > produc190496183real_c ) > finite1398487019real_c ).
thf(func_def_262,type,
sK116: ( produc190496183real_c > produc190496183real_c ) > ( finite1398487019real_c > finite1398487019real_c > produc190496183real_c ) > finite1398487019real_c ).
thf(func_def_263,type,
sK117: ( produc999471430t_unit > produc1821101996_sc_sz ) > ( produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz ) > produc866628903_sc_sz ).
thf(func_def_264,type,
sK118: ( produc999471430t_unit > produc1821101996_sc_sz ) > ( produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz ) > denota610675952t_unit ).
thf(func_def_265,type,
sK119: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c ) > ( produc190496183real_c > $o ) > denota610675952t_unit ).
thf(func_def_266,type,
sK120: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c ) > ( produc190496183real_c > $o ) > produc866628903_sc_sz ).
thf(func_def_267,type,
sK121: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > $o ) > ( $o > $o ) > denota610675952t_unit ).
thf(func_def_268,type,
sK122: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > $o ) > ( $o > $o ) > produc866628903_sc_sz ).
thf(func_def_269,type,
sK123: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > ( set_Pr1389752855real_c > $o ) > denota610675952t_unit ).
thf(func_def_270,type,
sK124: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c ) > ( set_Pr1389752855real_c > $o ) > produc866628903_sc_sz ).
thf(func_def_271,type,
sK125: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > produc190496183real_c ) > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_272,type,
sK126: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > produc190496183real_c ) > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(func_def_273,type,
sK127: produc999471430t_unit > ( produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz ) > ( produc1821101996_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_274,type,
sK128: produc999471430t_unit > ( produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz ) > ( produc1821101996_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_275,type,
sK129: produc866628903_sc_sz > ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_276,type,
sK130: produc866628903_sc_sz > ( list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o ) > list_f1238882004_sc_sz ).
thf(func_def_277,type,
sK131: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_278,type,
sK132: produc190496183real_c > ( finite1398487019real_c > finite1398487019real_c > $o ) > finite1398487019real_c ).
thf(func_def_279,type,
sK133: produc999471430t_unit > ( produc866628903_sc_sz > denota610675952t_unit > $o ) > produc866628903_sc_sz ).
thf(func_def_280,type,
sK134: produc999471430t_unit > ( produc866628903_sc_sz > denota610675952t_unit > $o ) > denota610675952t_unit ).
thf(func_def_281,type,
sK135: produc640052711real_c > ( produc190496183real_c > produc190496183real_c > $o ) > produc190496183real_c ).
thf(func_def_282,type,
sK136: produc640052711real_c > ( produc190496183real_c > produc190496183real_c > $o ) > produc190496183real_c ).
thf(func_def_283,type,
sK137: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > $o ) > denota610675952t_unit ).
thf(func_def_284,type,
sK138: produc1821101996_sc_sz > ( denota610675952t_unit > produc866628903_sc_sz > $o ) > produc866628903_sc_sz ).
thf(func_def_285,type,
sK139: ( produc190496183real_c > $o ) > set_Pr1169339874_sc_sz > ( produc1821101996_sc_sz > produc190496183real_c ) > produc190496183real_c ).
thf(func_def_286,type,
sK140: ( produc999471430t_unit > $o ) > set_Pr1169339874_sc_sz > ( produc1821101996_sc_sz > produc999471430t_unit ) > produc999471430t_unit ).
thf(func_def_287,type,
sK141: ( produc1821101996_sc_sz > $o ) > set_Pr1389752855real_c > ( produc190496183real_c > produc1821101996_sc_sz ) > produc1821101996_sc_sz ).
thf(func_def_288,type,
sK142: ( produc190496183real_c > $o ) > set_Pr1389752855real_c > ( produc190496183real_c > produc190496183real_c ) > produc190496183real_c ).
thf(func_def_289,type,
sK143: ( produc1821101996_sc_sz > $o ) > set_Pr2041213564t_unit > ( produc999471430t_unit > produc1821101996_sc_sz ) > produc1821101996_sc_sz ).
thf(func_def_290,type,
sK144: ( produc190496183real_c > produc1821101996_sc_sz ) > ( produc190496183real_c > produc1821101996_sc_sz ) > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_291,type,
sK145: ( produc190496183real_c > produc190496183real_c ) > ( produc190496183real_c > produc190496183real_c ) > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_292,type,
sK146: ( produc1821101996_sc_sz > produc190496183real_c ) > ( produc1821101996_sc_sz > produc190496183real_c ) > set_Pr1169339874_sc_sz > produc1821101996_sc_sz ).
thf(func_def_293,type,
sK147: ( produc1821101996_sc_sz > produc999471430t_unit ) > ( produc1821101996_sc_sz > produc999471430t_unit ) > set_Pr1169339874_sc_sz > produc1821101996_sc_sz ).
thf(func_def_294,type,
sK148: ( produc999471430t_unit > produc1821101996_sc_sz ) > ( produc999471430t_unit > produc1821101996_sc_sz ) > set_Pr2041213564t_unit > produc999471430t_unit ).
thf(func_def_295,type,
sK149: ( produc190496183real_c > $o ) > set_Pr1169339874_sc_sz > ( produc1821101996_sc_sz > produc190496183real_c ) > produc1821101996_sc_sz ).
thf(func_def_296,type,
sK150: ( produc999471430t_unit > $o ) > set_Pr1169339874_sc_sz > ( produc1821101996_sc_sz > produc999471430t_unit ) > produc1821101996_sc_sz ).
thf(func_def_297,type,
sK151: ( produc1821101996_sc_sz > $o ) > set_Pr1389752855real_c > ( produc190496183real_c > produc1821101996_sc_sz ) > produc190496183real_c ).
thf(func_def_298,type,
sK152: ( produc190496183real_c > $o ) > set_Pr1389752855real_c > ( produc190496183real_c > produc190496183real_c ) > produc190496183real_c ).
thf(func_def_299,type,
sK153: ( produc1821101996_sc_sz > $o ) > set_Pr2041213564t_unit > ( produc999471430t_unit > produc1821101996_sc_sz ) > produc999471430t_unit ).
thf(func_def_300,type,
sK154: set_Pr1389752855real_c > ( produc190496183real_c > produc190496183real_c ) > produc190496183real_c > produc190496183real_c ).
thf(func_def_301,type,
sK155: ( produc190496183real_c > set_Pr1389752855real_c ) > set_Pr1389752855real_c > produc640052711real_c > produc190496183real_c ).
thf(func_def_302,type,
sK156: ( produc190496183real_c > set_Pr1389752855real_c ) > set_Pr1389752855real_c > produc640052711real_c > produc190496183real_c ).
thf(func_def_303,type,
sK157: ( finite1398487019real_c > set_Fi1407883041real_c ) > set_Fi1407883041real_c > produc190496183real_c > finite1398487019real_c ).
thf(func_def_304,type,
sK158: ( finite1398487019real_c > set_Fi1407883041real_c ) > set_Fi1407883041real_c > produc190496183real_c > finite1398487019real_c ).
thf(func_def_305,type,
sK159: ( denota610675952t_unit > set_Pr1774599175_sc_sz ) > set_De208295462t_unit > produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_306,type,
sK160: ( denota610675952t_unit > set_Pr1774599175_sc_sz ) > set_De208295462t_unit > produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_307,type,
sK161: set_Pr1389752855real_c > ( finite1398487019real_c > finite1398487019real_c ) > ( finite1398487019real_c > finite1398487019real_c ) > produc190496183real_c > finite1398487019real_c ).
thf(func_def_308,type,
sK162: set_Pr1389752855real_c > ( finite1398487019real_c > finite1398487019real_c ) > ( finite1398487019real_c > finite1398487019real_c ) > produc190496183real_c > finite1398487019real_c ).
thf(func_def_309,type,
sK163: set_Pr1169339874_sc_sz > ( produc866628903_sc_sz > finite1398487019real_c ) > ( denota610675952t_unit > finite1398487019real_c ) > produc190496183real_c > denota610675952t_unit ).
thf(func_def_310,type,
sK164: set_Pr1169339874_sc_sz > ( produc866628903_sc_sz > finite1398487019real_c ) > ( denota610675952t_unit > finite1398487019real_c ) > produc190496183real_c > produc866628903_sc_sz ).
thf(func_def_311,type,
sK165: set_Pr1389752855real_c > ( finite1398487019real_c > produc866628903_sc_sz ) > ( finite1398487019real_c > denota610675952t_unit ) > produc1821101996_sc_sz > finite1398487019real_c ).
thf(func_def_312,type,
sK166: set_Pr1389752855real_c > ( finite1398487019real_c > produc866628903_sc_sz ) > ( finite1398487019real_c > denota610675952t_unit ) > produc1821101996_sc_sz > finite1398487019real_c ).
thf(func_def_313,type,
sK167: set_Pr1169339874_sc_sz > ( produc866628903_sc_sz > produc866628903_sc_sz ) > ( denota610675952t_unit > denota610675952t_unit ) > produc1821101996_sc_sz > denota610675952t_unit ).
thf(func_def_314,type,
sK168: set_Pr1169339874_sc_sz > ( produc866628903_sc_sz > produc866628903_sc_sz ) > ( denota610675952t_unit > denota610675952t_unit ) > produc1821101996_sc_sz > produc866628903_sc_sz ).
thf(func_def_315,type,
sK169: denota231621370t_unit ).
thf(func_def_316,type,
sK170: denota231621370t_unit ).
thf(func_def_317,type,
sK171: produc190496183real_c ).
thf(func_def_318,type,
sK172: produc190496183real_c ).
thf(func_def_319,type,
sK173: ( produc1821101996_sc_sz > produc999471430t_unit ) > produc999471430t_unit > set_Pr1169339874_sc_sz > produc1821101996_sc_sz ).
thf(func_def_320,type,
sK174: ( produc999471430t_unit > produc1821101996_sc_sz ) > produc1821101996_sc_sz > set_Pr2041213564t_unit > produc999471430t_unit ).
thf(func_def_321,type,
sK175: ( produc190496183real_c > produc1821101996_sc_sz ) > produc1821101996_sc_sz > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_322,type,
sK176: ( produc190496183real_c > produc190496183real_c ) > produc190496183real_c > set_Pr1389752855real_c > produc190496183real_c ).
thf(func_def_323,type,
sK177: ( produc1821101996_sc_sz > produc190496183real_c ) > produc190496183real_c > set_Pr1169339874_sc_sz > produc1821101996_sc_sz ).
thf(func_def_324,type,
sK178: formula_sf_sc_sz > produc1149990247eal_sz ).
thf(func_def_325,type,
sK179: formula_sf_sc_sz > denota610675952t_unit ).
thf(func_def_326,type,
sK180: formula_a_b_c > denota231621370t_unit ).
thf(func_def_327,type,
sK181: formula_a_b_c > denota231621370t_unit ).
thf(func_def_328,type,
sK182: formula_a_b_c > produc190496183real_c ).
thf(func_def_329,type,
sK183: formula_a_b_c > produc190496183real_c ).
thf(func_def_330,type,
sK184: formula_a_b_c > denota231621370t_unit ).
thf(func_def_331,type,
sK185: formula_a_b_c > denota231621370t_unit ).
thf(func_def_332,type,
sK186: formula_a_b_c > produc190496183real_c ).
thf(func_def_333,type,
sK187: formula_a_b_c > produc190496183real_c ).
thf(f355,conjecture,
! [X0: produc190496183real_c,X1: produc190496183real_c,X2: denota231621370t_unit,X3: denota231621370t_unit] :
( ( ( denota69106024_a_b_c @ X2 @ X3 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X0 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X1 @ ( denota968303861_a_b_c @ X3 @ phi ) ) ) ) )
= ( ! [X0: produc190496183real_c,X1: produc190496183real_c,X2: denota231621370t_unit,X3: denota231621370t_unit] :
( ( denota69106024_a_b_c @ X2 @ X3 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X0 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X1 @ ( denota968303861_a_b_c @ X3 @ phi ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f356,negated_conjecture,
~ ! [X0: produc190496183real_c,X1: produc190496183real_c,X2: denota231621370t_unit,X3: denota231621370t_unit] :
( ( ( denota69106024_a_b_c @ X2 @ X3 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X0 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X1 @ ( denota968303861_a_b_c @ X3 @ phi ) ) ) ) )
= ( ! [X0: produc190496183real_c,X1: produc190496183real_c,X2: denota231621370t_unit,X3: denota231621370t_unit] :
( ( denota69106024_a_b_c @ X2 @ X3 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X0 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X1 @ ( denota968303861_a_b_c @ X3 @ phi ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f355]) ).
thf(f891,plain,
~ ! [X0: produc190496183real_c,X1: produc190496183real_c,X2: denota231621370t_unit,X3: denota231621370t_unit] :
( ( ( denota69106024_a_b_c @ X2 @ X3 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X0 @ X1 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X0 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X1 @ ( denota968303861_a_b_c @ X3 @ phi ) ) ) ) )
= ( ! [X4: produc190496183real_c,X5: produc190496183real_c,X6: denota231621370t_unit,X7: denota231621370t_unit] :
( ( denota69106024_a_b_c @ X6 @ X7 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X4 @ X5 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X4 @ ( denota968303861_a_b_c @ X6 @ phi ) )
= ( member1895684704real_c @ X5 @ ( denota968303861_a_b_c @ X7 @ phi ) ) ) ) ) ) ),
inference(rectify,[],[f356]) ).
thf(f892,plain,
( ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) )
!= ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f891]) ).
thf(f921,plain,
( ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) )
!= ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f892]) ).
thf(f1709,plain,
( ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) )
!= ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f921]) ).
thf(f1833,plain,
( ( $true
= ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) ) )
| ( $true
= ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) ) ) ),
inference(xor_proxy_clausification,[],[f1709]) ).
thf(f1834,plain,
( ( ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) )
= $false )
| ( ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) ) )
= $false ) ),
inference(xor_proxy_clausification,[],[f1709]) ).
thf(f1835,plain,
( ( $false
= ( ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) )
@ sK169 ) )
| ( $false
= ( ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) )
@ sK169 ) ) ),
inference(sigma_proxy_clausification,[],[f1834]) ).
thf(f1836,plain,
( $false
= ( ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) )
@ sK169 ) ),
inference(duplicate_literal_removal,[],[f1835]) ).
thf(f1837,plain,
( $false
= ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y1: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y0 @ sK169 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y2 @ Y1 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) )
= ( member1895684704real_c @ Y1 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1836]) ).
thf(f1838,plain,
( $false
= ( ^ [Y0: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y1: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y0 @ sK169 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y2 @ Y1 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) )
= ( member1895684704real_c @ Y1 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ) ) ) )
@ sK170 ) ),
inference(sigma_proxy_clausification,[],[f1837]) ).
thf(f1839,plain,
( $false
= ( !! @ produc190496183real_c
@ ^ [Y0: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y1: produc190496183real_c] :
( ( denota69106024_a_b_c @ sK170 @ sK169 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y1 @ Y0 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y1 @ ( denota968303861_a_b_c @ sK170 @ phi ) )
= ( member1895684704real_c @ Y0 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1838]) ).
thf(f1840,plain,
( $false
= ( ^ [Y0: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y1: produc190496183real_c] :
( ( denota69106024_a_b_c @ sK170 @ sK169 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y1 @ Y0 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y1 @ ( denota968303861_a_b_c @ sK170 @ phi ) )
= ( member1895684704real_c @ Y0 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ) ) )
@ sK171 ) ),
inference(sigma_proxy_clausification,[],[f1839]) ).
thf(f1841,plain,
( $false
= ( !! @ produc190496183real_c
@ ^ [Y0: produc190496183real_c] :
( ( denota69106024_a_b_c @ sK170 @ sK169 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y0 @ sK171 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y0 @ ( denota968303861_a_b_c @ sK170 @ phi ) )
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1840]) ).
thf(f1842,plain,
( $false
= ( ^ [Y0: produc190496183real_c] :
( ( denota69106024_a_b_c @ sK170 @ sK169 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y0 @ sK171 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y0 @ ( denota968303861_a_b_c @ sK170 @ phi ) )
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ) )
@ sK172 ) ),
inference(sigma_proxy_clausification,[],[f1841]) ).
thf(f1843,plain,
( $false
= ( ( denota69106024_a_b_c @ sK170 @ sK169 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ sK172 @ sK171 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) )
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1842]) ).
thf(f1844,plain,
( $false
= ( ( denota1997846518gree_c @ sK172 @ sK171 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) )
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1843]) ).
thf(f1845,plain,
( $true
= ( denota69106024_a_b_c @ sK170 @ sK169 @ ( static_SIGF_a_b_c @ phi ) ) ),
inference(imp_proxy_clausification,[],[f1843]) ).
thf(f1846,plain,
( $false
= ( ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) )
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ),
inference(imp_proxy_clausification,[],[f1844]) ).
thf(f1847,plain,
( $true
= ( denota1997846518gree_c @ sK172 @ sK171 @ ( static_FVF_a_b_c @ phi ) ) ),
inference(imp_proxy_clausification,[],[f1844]) ).
thf(f1848,plain,
( ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) )
!= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) ),
inference(equality_proxy_clausification,[],[f1846]) ).
thf(f1849,plain,
( ( $true
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) )
| ( $true
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) ) ),
inference(xor_proxy_clausification,[],[f1848]) ).
thf(f1850,plain,
( ( $false
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) )
| ( $false
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) ) ),
inference(xor_proxy_clausification,[],[f1848]) ).
thf(f1851,plain,
! [X1: denota231621370t_unit] :
( ( $true
= ( ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) )
@ X1 ) )
| ( $true
= ( ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f1833]) ).
thf(f1852,plain,
! [X1: denota231621370t_unit] :
( $true
= ( ^ [Y0: denota231621370t_unit] :
( !! @ denota231621370t_unit
@ ^ [Y1: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y3: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y1 @ Y0 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y3 @ Y2 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y3 @ ( denota968303861_a_b_c @ Y1 @ phi ) )
= ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) ) ) ) ) ) ) )
@ X1 ) ),
inference(duplicate_literal_removal,[],[f1851]) ).
thf(f1853,plain,
! [X1: denota231621370t_unit] :
( $true
= ( !! @ denota231621370t_unit
@ ^ [Y0: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y1: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y0 @ X1 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y2 @ Y1 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) )
= ( member1895684704real_c @ Y1 @ ( denota968303861_a_b_c @ X1 @ phi ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1852]) ).
thf(f1854,plain,
! [X2: denota231621370t_unit,X1: denota231621370t_unit] :
( $true
= ( ^ [Y0: denota231621370t_unit] :
( !! @ produc190496183real_c
@ ^ [Y1: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y2: produc190496183real_c] :
( ( denota69106024_a_b_c @ Y0 @ X1 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y2 @ Y1 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y2 @ ( denota968303861_a_b_c @ Y0 @ phi ) )
= ( member1895684704real_c @ Y1 @ ( denota968303861_a_b_c @ X1 @ phi ) ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1853]) ).
thf(f1855,plain,
! [X2: denota231621370t_unit,X1: denota231621370t_unit] :
( $true
= ( !! @ produc190496183real_c
@ ^ [Y0: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y1: produc190496183real_c] :
( ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y1 @ Y0 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y1 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ Y0 @ ( denota968303861_a_b_c @ X1 @ phi ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1854]) ).
thf(f1856,plain,
! [X2: denota231621370t_unit,X3: produc190496183real_c,X1: denota231621370t_unit] :
( $true
= ( ^ [Y0: produc190496183real_c] :
( !! @ produc190496183real_c
@ ^ [Y1: produc190496183real_c] :
( ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y1 @ Y0 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y1 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ Y0 @ ( denota968303861_a_b_c @ X1 @ phi ) ) ) ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f1855]) ).
thf(f1857,plain,
! [X2: denota231621370t_unit,X3: produc190496183real_c,X1: denota231621370t_unit] :
( $true
= ( !! @ produc190496183real_c
@ ^ [Y0: produc190496183real_c] :
( ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y0 @ X3 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y0 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X1 @ phi ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1856]) ).
thf(f1858,plain,
! [X2: denota231621370t_unit,X3: produc190496183real_c,X1: denota231621370t_unit,X4: produc190496183real_c] :
( $true
= ( ^ [Y0: produc190496183real_c] :
( ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ Y0 @ X3 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ Y0 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X1 @ phi ) ) ) ) )
@ X4 ) ),
inference(pi_proxy_clausification,[],[f1857]) ).
thf(f1859,plain,
! [X2: denota231621370t_unit,X3: produc190496183real_c,X1: denota231621370t_unit,X4: produc190496183real_c] :
( $true
= ( ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X4 @ X3 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X4 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X1 @ phi ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1858]) ).
thf(f1860,plain,
! [X2: denota231621370t_unit,X3: produc190496183real_c,X1: denota231621370t_unit,X4: produc190496183real_c] :
( ( $false
= ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) ) )
| ( $true
= ( ( denota1997846518gree_c @ X4 @ X3 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X4 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X1 @ phi ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1859]) ).
thf(f1861,plain,
! [X2: denota231621370t_unit,X3: produc190496183real_c,X1: denota231621370t_unit,X4: produc190496183real_c] :
( ( $false
= ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) ) )
| ( $false
= ( denota1997846518gree_c @ X4 @ X3 @ ( static_FVF_a_b_c @ phi ) ) )
| ( $true
= ( ( member1895684704real_c @ X4 @ ( denota968303861_a_b_c @ X2 @ phi ) )
= ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X1 @ phi ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1860]) ).
thf(f1862,plain,
! [X2: denota231621370t_unit,X3: produc190496183real_c,X1: denota231621370t_unit,X4: produc190496183real_c] :
( ( $false
= ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) ) )
| ( $false
= ( denota1997846518gree_c @ X4 @ X3 @ ( static_FVF_a_b_c @ phi ) ) )
| ( ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X1 @ phi ) )
= ( member1895684704real_c @ X4 @ ( denota968303861_a_b_c @ X2 @ phi ) ) ) ),
inference(equality_proxy_clausification,[],[f1861]) ).
thf(f1863,plain,
! [X2: denota231621370t_unit,X3: produc190496183real_c,X1: denota231621370t_unit,X4: produc190496183real_c] :
( ( $false
= ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) ) )
| ( $false
= ( denota1997846518gree_c @ X4 @ X3 @ ( static_FVF_a_b_c @ phi ) ) )
| ( $true
= ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X1 @ phi ) ) )
| ( $false
= ( member1895684704real_c @ X4 @ ( denota968303861_a_b_c @ X2 @ phi ) ) ) ),
inference(iff_proxy_clausification,[],[f1862]) ).
thf(f1864,plain,
! [X2: denota231621370t_unit,X3: produc190496183real_c,X1: denota231621370t_unit,X4: produc190496183real_c] :
( ( $false
= ( denota69106024_a_b_c @ X2 @ X1 @ ( static_SIGF_a_b_c @ phi ) ) )
| ( $false
= ( denota1997846518gree_c @ X4 @ X3 @ ( static_FVF_a_b_c @ phi ) ) )
| ( $false
= ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X1 @ phi ) ) )
| ( $true
= ( member1895684704real_c @ X4 @ ( denota968303861_a_b_c @ X2 @ phi ) ) ) ),
inference(iff_proxy_clausification,[],[f1862]) ).
thf(f3848,definition,
( spl188_1
<=> ( $true
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) ) ),
introduced(definition,[new_symbols(definition,[spl188_1])],[avatar_definition]) ).
thf(f3850,plain,
( ( $true
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) )
| ~ spl188_1 ),
inference(avatar_component_clause,[],[f3848]) ).
thf(f3852,definition,
( spl188_2
<=> ( $true
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) ) ),
introduced(definition,[new_symbols(definition,[spl188_2])],[avatar_definition]) ).
thf(f3853,plain,
( ( $true
!= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) )
| spl188_2 ),
inference(avatar_component_clause,[],[f3852]) ).
thf(f3854,plain,
( ( $true
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) )
| ~ spl188_2 ),
inference(avatar_component_clause,[],[f3852]) ).
thf(f3855,plain,
( spl188_1
| spl188_2 ),
inference(avatar_split_clause,[],[f1849,f3852,f3848]) ).
thf(f3891,plain,
! [X0: denota231621370t_unit,X1: denota231621370t_unit] :
( ( $true = $false )
| ( $false
= ( denota69106024_a_b_c @ X0 @ X1 @ ( static_SIGF_a_b_c @ phi ) ) )
| ( $true
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ X1 @ phi ) ) )
| ( $false
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ X0 @ phi ) ) ) ),
inference(constrained_superposition,[],[f1847,f1863]) ).
thf(f3893,plain,
! [X0: denota231621370t_unit,X1: denota231621370t_unit] :
( ( $false
= ( denota69106024_a_b_c @ X0 @ X1 @ ( static_SIGF_a_b_c @ phi ) ) )
| ( $true
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ X1 @ phi ) ) )
| ( $false
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ X0 @ phi ) ) ) ),
inference(trivial_inequality_removal,[],[f3891]) ).
thf(f3986,plain,
( ( $true = $false )
| ( $true
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) )
| ( $false
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) ) ),
inference(constrained_superposition,[],[f1845,f3893]) ).
thf(f3987,plain,
( ( $true
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) )
| ( $false
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) ) ),
inference(trivial_inequality_removal,[],[f3986]) ).
thf(f4017,plain,
! [X0: denota231621370t_unit,X1: denota231621370t_unit] :
( ( $true = $false )
| ( $false
= ( denota69106024_a_b_c @ X0 @ X1 @ ( static_SIGF_a_b_c @ phi ) ) )
| ( $false
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ X1 @ phi ) ) )
| ( $true
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ X0 @ phi ) ) ) ),
inference(constrained_superposition,[],[f1847,f1864]) ).
thf(f4023,plain,
! [X0: denota231621370t_unit,X1: denota231621370t_unit] :
( ( $false
= ( denota69106024_a_b_c @ X0 @ X1 @ ( static_SIGF_a_b_c @ phi ) ) )
| ( $false
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ X1 @ phi ) ) )
| ( $true
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ X0 @ phi ) ) ) ),
inference(trivial_inequality_removal,[],[f4017]) ).
thf(f4091,plain,
( ( $true = $false )
| ( $false
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) )
| ~ spl188_2 ),
inference(forward_demodulation,[],[f1850,f3854]) ).
thf(f4092,plain,
( ( $false
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) )
| ~ spl188_2 ),
inference(trivial_inequality_removal,[],[f4091]) ).
thf(f4102,plain,
( ( $true = $false )
| ( $false
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) )
| ( $true
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) ) ),
inference(constrained_superposition,[],[f4023,f1845]) ).
thf(f4105,plain,
( ( $false
= ( member1895684704real_c @ sK171 @ ( denota968303861_a_b_c @ sK169 @ phi ) ) )
| ( $true
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) ) ),
inference(trivial_inequality_removal,[],[f4102]) ).
thf(f4131,plain,
( ( $true = $false )
| ( $true
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) )
| ~ spl188_2 ),
inference(forward_demodulation,[],[f4105,f3854]) ).
thf(f4132,plain,
( ( $true
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) )
| ~ spl188_2 ),
inference(trivial_inequality_removal,[],[f4131]) ).
thf(f4136,plain,
( ( $true = $false )
| ~ spl188_2 ),
inference(forward_demodulation,[],[f4132,f4092]) ).
thf(f4137,plain,
( $false
| ~ spl188_2 ),
inference(trivial_inequality_removal,[],[f4136]) ).
thf(f4138,plain,
~ spl188_2,
inference(avatar_contradiction_clause,[],[f4137]) ).
thf(f4144,plain,
( ( $false
= ( member1895684704real_c @ sK172 @ ( denota968303861_a_b_c @ sK170 @ phi ) ) )
| spl188_2 ),
inference(forward_subsumption_resolution,[],[f3987,f3853]) ).
thf(f4146,plain,
( ( $true = $false )
| ~ spl188_1
| spl188_2 ),
inference(constrained_superposition,[],[f4144,f3850]) ).
thf(f4150,plain,
( $false
| ~ spl188_1
| spl188_2 ),
inference(trivial_inequality_removal,[],[f4146]) ).
thf(f4151,plain,
( ~ spl188_1
| spl188_2 ),
inference(avatar_contradiction_clause,[],[f4150]) ).
cnf(s471,plain,
( spl188_1
| spl188_2 ),
inference(sat_conversion,[],[f3855]) ).
cnf(s568,plain,
~ spl188_2,
inference(sat_conversion,[],[f4138]) ).
cnf(s583,plain,
( ~ spl188_1
| spl188_2 ),
inference(sat_conversion,[],[f4151]) ).
cnf(s584,plain,
~ spl188_1,
inference(rat,[],[s583,s568]) ).
cnf(s586,plain,
$false,
inference(rat,[],[s471,s568,s584]) ).
thf(f4153,plain,
$false,
inference(avatar_sat_refutation,[],[s586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP039^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:39:36 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/0.36 % (2559370)Will run a generic schedule for satisfiability detection.
% 0.75/0.36 % (2559381)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2017648529:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.75/0.36 % (2559376)% WARNING: option uhcvi not known.
% 0.75/0.36 % (2559375)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=103413855_2999 on theBenchmark for (2999ds/0Mi)
% 0.75/0.36 % (2559377)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1770882612:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.75/0.36 % (2559378)dis+10_1_sil=32000:sp=arity:random_seed=1202980681:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.75/0.36 % (2559376)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=34078737:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.75/0.36 % (2559379)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=489366211:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.75/0.36 % (2559380)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2882810643:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.75/0.36 % (2559376)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.75/0.36 % (2559379)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.75/0.36 % (2559381)Instruction limit reached!
% 0.75/0.36 % (2559381)------------------------------
% 0.75/0.36 % (2559381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.36 % (2559381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.36 % (2559381)CaDiCaL version: 2.1.3
% 0.75/0.36 % (2559381)Termination reason: Instruction limit
% 0.75/0.36 % (2559381)Termination phase: Saturation
% 0.75/0.36 % (2559381)Time elapsed: 0.034 s
% 0.75/0.36 % (2559381)Peak memory usage: 13 MB
% 0.75/0.36 % (2559381)Instructions burned: 160 (million)
% 0.75/0.36 % (2559389)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=152024197:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.75/0.36 % (2559378)Instruction limit reached!
% 0.75/0.36 % (2559378)------------------------------
% 0.75/0.36 % (2559378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.36 % (2559378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.36 % (2559378)CaDiCaL version: 2.1.3
% 0.75/0.36 % (2559378)Termination reason: Instruction limit
% 0.75/0.36 % (2559378)Termination phase: Property scanning
% 0.75/0.36 % (2559378)Time elapsed: 0.042 s
% 0.75/0.36 % (2559378)Peak memory usage: 11 MB
% 0.75/0.36 % (2559378)Instructions burned: 105 (million)
% 0.75/0.36 % (2559379)Instruction limit reached!
% 0.75/0.36 % (2559379)------------------------------
% 0.75/0.36 % (2559379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.36 % (2559379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.36 % (2559379)CaDiCaL version: 2.1.3
% 0.75/0.36 % (2559379)Termination reason: Instruction limit
% 0.75/0.36 % (2559379)Termination phase: Property scanning
% 0.75/0.36 % (2559379)Time elapsed: 0.046 s
% 0.75/0.36 % (2559379)Peak memory usage: 11 MB
% 0.75/0.36 % (2559379)Instructions burned: 116 (million)
% 0.75/0.36 % Exception at run slice level
% 0.75/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.75/0.36 % (2559376)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.75/0.36 % (2559380)Instruction limit reached!
% 0.75/0.36 % (2559380)------------------------------
% 0.75/0.36 % (2559380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.36 % (2559380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.36 % (2559380)CaDiCaL version: 2.1.3
% 0.75/0.36 % (2559380)Termination reason: Instruction limit
% 0.75/0.36 % (2559380)Termination phase: Saturation
% 0.75/0.36 % (2559380)Time elapsed: 0.053 s
% 0.75/0.36 % (2559380)Peak memory usage: 12 MB
% 0.75/0.36 % (2559380)Instructions burned: 131 (million)
% 0.75/0.36 % (2559391)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1135506799:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.75/0.36 % Exception at run slice level
% 0.75/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.75/0.36 % (2559392)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=3844522482:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.75/0.36 % (2559393)ott-21_1_sil=16000:fs=off:random_seed=2599857455:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.75/0.36 % (2559394)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=178223378:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 0.75/0.36 % (2559396)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2094149509:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.75/0.36 % (2559377) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2559370-2559377"...
% 0.75/0.36 % (2559392)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.75/0.36 % (2559377)...printing done.
% 0.75/0.36 % (2559377)Refutation found. Thanks to Tanya!
% 0.75/0.36 % SZS status Theorem for theBenchmark
% 0.75/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.36 % (2559377)------------------------------
% 0.75/0.36 % (2559377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.36 % (2559377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.36 % (2559377)CaDiCaL version: 2.1.3
% 0.75/0.36 % (2559377)Termination reason: Refutation
% 0.75/0.36 % (2559377)Time elapsed: 0.095 s
% 0.75/0.36 % (2559377)Peak memory usage: 15 MB
% 0.75/0.36 % (2559377)Instructions burned: 215 (million)
% 0.75/0.36 % (2559370)Success in time 0.137 s
% 0.75/0.36 % Vampire exiting
%------------------------------------------------------------------------------