%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP137^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:55:50 AM UTC 2026
% Result : Theorem 8.43s 2.41s
% Output : Refutation 8.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 24 unt; 0 typ; 2 def)
% Number of atoms : 202 ( 95 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 303 ( 29 ~; 27 |; 8 &; 221 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 24 ( 23 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 296 ( 292 usr; 7 con; 0-5 aty)
% ( 4 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 51 ( 10 ^; 37 !; 4 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc696645085lle_fm: $tType ).
thf(type_def_7,type,
produc1647334210lle_tv: $tType ).
thf(type_def_8,type,
paraco1605129243lle_tv: $tType ).
thf(type_def_9,type,
set_Pr2014382200lle_tv: $tType ).
thf(type_def_10,type,
set_Pa1764573435lle_tv: $tType ).
thf(type_def_11,type,
list_char: $tType ).
thf(type_def_12,type,
paraco1604210848lle_fm: $tType ).
thf(type_def_13,type,
nat: $tType ).
thf(type_def_14,type,
produc1852595672lle_tv: $tType ).
thf(type_def_15,type,
produc1443694919lle_tv: $tType ).
thf(type_def_16,type,
produc450659916lle_fm: $tType ).
thf(type_def_17,type,
produc1250255278lle_fm: $tType ).
thf(type_def_18,type,
produc484385668lle_tv: $tType ).
thf(type_def_19,type,
set_li72793489lle_tv: $tType ).
thf(type_def_20,type,
set_Pa1499417344lle_fm: $tType ).
thf(type_def_21,type,
set_Pr2120184979lle_fm: $tType ).
thf(type_def_22,type,
set_Pr1723822845lle_tv: $tType ).
thf(type_def_23,type,
set_Pr2061825550lle_tv: $tType ).
thf(type_def_24,type,
set_Pr1475944804lle_fm: $tType ).
thf(type_def_25,type,
set_Pr2012908090lle_tv: $tType ).
thf(type_def_26,type,
set_o: $tType ).
thf(type_def_27,type,
set_Pr1019238018lle_fm: $tType ).
thf(type_def_28,type,
set_Pr38785645e_tv_o: $tType ).
thf(func_def_0,type,
set_Pr1475944804lle_fm: $tType ).
thf(func_def_1,type,
produc1250255278lle_fm: $tType ).
thf(func_def_2,type,
set_Pr2012908090lle_tv: $tType ).
thf(func_def_3,type,
produc484385668lle_tv: $tType ).
thf(func_def_4,type,
set_Pr2061825550lle_tv: $tType ).
thf(func_def_5,type,
produc1852595672lle_tv: $tType ).
thf(func_def_6,type,
set_Pr1723822845lle_tv: $tType ).
thf(func_def_7,type,
set_Pr2120184979lle_fm: $tType ).
thf(func_def_8,type,
produc1443694919lle_tv: $tType ).
thf(func_def_9,type,
produc696645085lle_fm: $tType ).
thf(func_def_10,type,
set_Pr38785645e_tv_o: $tType ).
thf(func_def_11,type,
set_Pr2014382200lle_tv: $tType ).
thf(func_def_12,type,
set_Pr1019238018lle_fm: $tType ).
thf(func_def_13,type,
produc1647334210lle_tv: $tType ).
thf(func_def_14,type,
produc450659916lle_fm: $tType ).
thf(func_def_15,type,
set_li72793489lle_tv: $tType ).
thf(func_def_16,type,
set_Pa1764573435lle_tv: $tType ).
thf(func_def_17,type,
set_Pa1499417344lle_fm: $tType ).
thf(func_def_18,type,
paraco1605129243lle_tv: $tType ).
thf(func_def_19,type,
paraco1604210848lle_fm: $tType ).
thf(func_def_20,type,
list_char: $tType ).
thf(func_def_21,type,
set_o: $tType ).
thf(func_def_22,type,
nat: $tType ).
thf(func_def_23,type,
the_Pr1724341910lle_fm: ( produc696645085lle_fm > $o ) > produc696645085lle_fm ).
thf(func_def_24,type,
the_Pr304385787lle_tv: ( produc1647334210lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_25,type,
if_Par1134130401lle_tv: $o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_26,type,
order_1376767238lle_tv: set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv ).
thf(func_def_27,type,
order_1434492699lle_tv: set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv ).
thf(func_def_28,type,
order_1215526505lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_Pr2014382200lle_tv ).
thf(func_def_29,type,
paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
thf(func_def_30,type,
paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_31,type,
paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_32,type,
paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_33,type,
paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_34,type,
paraco1480028776le_Pro: list_char > paraco1604210848lle_fm ).
thf(func_def_35,type,
paraco367965286_Truth: paraco1604210848lle_fm ).
thf(func_def_36,type,
paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
thf(func_def_37,type,
paraco793048302_Indet: nat > paraco1605129243lle_tv ).
thf(func_def_38,type,
paraco2051596139lle_tv: ( $o > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_39,type,
paraco327635598_valid: paraco1604210848lle_fm > $o ).
thf(func_def_40,type,
produc1297923922lle_tv: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > produc1852595672lle_tv ).
thf(func_def_41,type,
produc1710735575lle_fm: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).
thf(func_def_42,type,
produc1943344577lle_tv: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc1443694919lle_tv ).
thf(func_def_43,type,
produc1126104134lle_fm: paraco1604210848lle_fm > paraco1604210848lle_fm > produc450659916lle_fm ).
thf(func_def_44,type,
produc2058540732lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv ).
thf(func_def_45,type,
produc407632608lle_fm: produc696645085lle_fm > produc696645085lle_fm > produc1250255278lle_fm ).
thf(func_def_46,type,
produc1537086518lle_tv: produc1647334210lle_tv > produc1647334210lle_tv > produc484385668lle_tv ).
thf(func_def_47,type,
produc327378790lle_fm: set_li72793489lle_tv > ( ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm ) > set_Pr2120184979lle_fm ).
thf(func_def_48,type,
produc559987792lle_tv: set_Pa1499417344lle_fm > ( paraco1604210848lle_fm > set_li72793489lle_tv ) > set_Pr1723822845lle_tv ).
thf(func_def_49,type,
produc479904331lle_tv: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > set_Pa1764573435lle_tv ) > set_Pr2014382200lle_tv ).
thf(func_def_50,type,
produc234482697lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv ).
thf(func_def_51,type,
produc1667860344e_tv_o: ( produc1852595672lle_tv > $o ) > ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > $o ).
thf(func_def_52,type,
produc275353523e_fm_o: ( produc696645085lle_fm > $o ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ).
thf(func_def_53,type,
produc251170289lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).
thf(func_def_54,type,
produc298562633e_tv_o: ( produc1443694919lle_tv > $o ) > paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o ).
thf(func_def_55,type,
produc635060359lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ).
thf(func_def_56,type,
produc1339594628e_fm_o: ( produc450659916lle_fm > $o ) > paraco1604210848lle_fm > paraco1604210848lle_fm > $o ).
thf(func_def_57,type,
produc2005494902e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ).
thf(func_def_58,type,
produc621423502e_tv_o: ( produc1647334210lle_tv > $o ) > paraco1605129243lle_tv > paraco1605129243lle_tv > $o ).
thf(func_def_59,type,
produc724036226lle_tv: ( produc1647334210lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_60,type,
produc408556266e_fm_o: ( produc1250255278lle_fm > $o ) > produc696645085lle_fm > produc696645085lle_fm > $o ).
thf(func_def_61,type,
produc1113543188e_tv_o: ( produc484385668lle_tv > $o ) > produc1647334210lle_tv > produc1647334210lle_tv > $o ).
thf(func_def_62,type,
produc1504058474e_fm_o: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > produc696645085lle_fm > $o ).
thf(func_def_63,type,
produc144063912lle_fm: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(func_def_64,type,
produc527953982lle_fm: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > produc1443694919lle_tv > produc696645085lle_fm ).
thf(func_def_65,type,
produc2050176383e_tv_o: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > produc1647334210lle_tv > produc1647334210lle_tv > $o ).
thf(func_def_66,type,
produc192124683lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_67,type,
produc323213387e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc484385668lle_tv > $o ).
thf(func_def_68,type,
produc1900967599lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(func_def_69,type,
produc918997546lle_tv: ( ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc696645085lle_fm > produc1647334210lle_tv ).
thf(func_def_70,type,
produc2008706836lle_fm: ( paraco1605129243lle_tv > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > produc1647334210lle_tv > produc696645085lle_fm ).
thf(func_def_71,type,
produc1345917071lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).
thf(func_def_72,type,
produc101320793e_tv_o: ( ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > $o ) > produc1852595672lle_tv > $o ).
thf(func_def_73,type,
produc1949847036lle_tv: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_74,type,
produc1221696404e_fm_o: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > produc696645085lle_fm > $o ).
thf(func_def_75,type,
produc427355858lle_fm: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(func_def_76,type,
produc401650381lle_tv: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc1647334210lle_tv ) > produc696645085lle_fm > produc1647334210lle_tv ).
thf(func_def_77,type,
produc1244905514e_tv_o: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o ) > produc1443694919lle_tv > $o ).
thf(func_def_78,type,
produc811245928lle_fm: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > produc1443694919lle_tv > produc696645085lle_fm ).
thf(func_def_79,type,
produc1629543915lle_tv: ( paraco1604210848lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ) > produc450659916lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_80,type,
produc182748835lle_fm: ( paraco1604210848lle_fm > paraco1604210848lle_fm > produc696645085lle_fm ) > produc450659916lle_fm > produc696645085lle_fm ).
thf(func_def_81,type,
produc1370344801lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > list_char > paraco1605129243lle_tv ) > produc1647334210lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_82,type,
produc25129173e_tv_o: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > produc1647334210lle_tv > produc1647334210lle_tv > $o ).
thf(func_def_83,type,
produc852673135e_tv_o: ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > produc1647334210lle_tv > $o ).
thf(func_def_84,type,
produc1882560353lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_85,type,
produc377990317lle_fm: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc696645085lle_fm ) > produc1647334210lle_tv > produc696645085lle_fm ).
thf(func_def_86,type,
produc942307752lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).
thf(func_def_87,type,
produc1234307915e_fm_o: ( produc696645085lle_fm > produc696645085lle_fm > $o ) > produc1250255278lle_fm > $o ).
thf(func_def_88,type,
produc648306805e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc484385668lle_tv > $o ).
thf(func_def_89,type,
produc29804011lle_fm: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_90,type,
produc262413013lle_tv: produc1443694919lle_tv > paraco1604210848lle_fm ).
thf(func_def_91,type,
produc488585168lle_tv: produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_92,type,
produc148705065lle_fm: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_93,type,
produc381314067lle_tv: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_94,type,
produc1837067022lle_tv: produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_95,type,
produc1176291762lle_tv: produc1852595672lle_tv > produc1852595672lle_tv ).
thf(func_def_96,type,
produc1000205111lle_fm: produc696645085lle_fm > produc1443694919lle_tv ).
thf(func_def_97,type,
produc1232814113lle_tv: produc1443694919lle_tv > produc696645085lle_fm ).
thf(func_def_98,type,
produc1426802342lle_fm: produc450659916lle_fm > produc450659916lle_fm ).
thf(func_def_99,type,
produc211755292lle_tv: produc1647334210lle_tv > produc1647334210lle_tv ).
thf(func_def_100,type,
produc116249920lle_fm: produc1250255278lle_fm > produc1250255278lle_fm ).
thf(func_def_101,type,
produc1733045910lle_tv: produc484385668lle_tv > produc484385668lle_tv ).
thf(func_def_102,type,
inv_im719552961lle_tv: set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv ).
thf(func_def_103,type,
collec1351702300lle_tv: ( ( list_char > paraco1605129243lle_tv ) > $o ) > set_li72793489lle_tv ).
thf(func_def_104,type,
collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).
thf(func_def_105,type,
collec1102043437lle_tv: ( produc1852595672lle_tv > $o ) > set_Pr2061825550lle_tv ).
thf(func_def_106,type,
collec835549234lle_fm: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm ).
thf(func_def_107,type,
collec15260823lle_tv: ( produc1647334210lle_tv > $o ) > set_Pr2014382200lle_tv ).
thf(func_def_108,type,
collec1363950211lle_fm: ( produc1250255278lle_fm > $o ) > set_Pr1475944804lle_fm ).
thf(func_def_109,type,
collec1900284505lle_tv: ( produc484385668lle_tv > $o ) > set_Pr2012908090lle_tv ).
thf(func_def_110,type,
image_305309148lle_tv: ( produc696645085lle_fm > list_char > paraco1605129243lle_tv ) > set_Pr2120184979lle_fm > set_li72793489lle_tv ).
thf(func_def_111,type,
image_1402739636e_fm_o: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm > set_o ).
thf(func_def_112,type,
image_807538418lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm ).
thf(func_def_113,type,
image_924970994lle_tv: ( produc696645085lle_fm > produc1443694919lle_tv ) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv ).
thf(func_def_114,type,
image_1110913773lle_tv: ( produc696645085lle_fm > produc1647334210lle_tv ) > set_Pr2120184979lle_fm > set_Pr2014382200lle_tv ).
thf(func_def_115,type,
image_326034184lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm ).
thf(func_def_116,type,
image_496052427lle_tv: ( produc450659916lle_fm > list_char > paraco1605129243lle_tv ) > set_Pr1019238018lle_fm > set_li72793489lle_tv ).
thf(func_def_117,type,
image_1662022595lle_fm: ( produc450659916lle_fm > produc696645085lle_fm ) > set_Pr1019238018lle_fm > set_Pr2120184979lle_fm ).
thf(func_def_118,type,
image_1070648001lle_tv: ( produc1647334210lle_tv > list_char > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv > set_li72793489lle_tv ).
thf(func_def_119,type,
image_1015627317e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > set_Pr2014382200lle_tv > set_Pr38785645e_tv_o ).
thf(func_def_120,type,
image_1263514817lle_tv: ( produc1647334210lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv > set_Pa1764573435lle_tv ).
thf(func_def_121,type,
image_937396045lle_fm: ( produc1647334210lle_tv > produc696645085lle_fm ) > set_Pr2014382200lle_tv > set_Pr2120184979lle_fm ).
thf(func_def_122,type,
image_1221801032lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > set_Pr2014382200lle_tv ).
thf(func_def_123,type,
image_1610089293e_tv_o: ( produc484385668lle_tv > $o ) > set_Pr2012908090lle_tv > set_o ).
thf(func_def_124,type,
lex_pr2001015487lle_fm: set_Pr2061825550lle_tv > set_Pr1019238018lle_fm > set_Pr1475944804lle_fm ).
thf(func_def_125,type,
lex_pr567812260lle_tv: set_Pr2014382200lle_tv > set_Pr2014382200lle_tv > set_Pr2012908090lle_tv ).
thf(func_def_126,type,
same_f1581085506lle_fm: ( ( list_char > paraco1605129243lle_tv ) > $o ) > ( ( list_char > paraco1605129243lle_tv ) > set_Pr1019238018lle_fm ) > set_Pr1475944804lle_fm ).
thf(func_def_127,type,
same_f1119076903lle_tv: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > set_Pr2014382200lle_tv ) > set_Pr2012908090lle_tv ).
thf(func_def_128,type,
member894927066lle_tv: ( list_char > paraco1605129243lle_tv ) > set_li72793489lle_tv > $o ).
thf(func_def_129,type,
member1832524214e_tv_o: ( produc1647334210lle_tv > $o ) > set_Pr38785645e_tv_o > $o ).
thf(func_def_130,type,
member_o: $o > set_o > $o ).
thf(func_def_131,type,
member265982409lle_fm: paraco1604210848lle_fm > set_Pa1499417344lle_fm > $o ).
thf(func_def_132,type,
member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).
thf(func_def_133,type,
member146333935lle_tv: produc1852595672lle_tv > set_Pr2061825550lle_tv > $o ).
thf(func_def_134,type,
member1474794996lle_fm: produc696645085lle_fm > set_Pr2120184979lle_fm > $o ).
thf(func_def_135,type,
member74361182lle_tv: produc1443694919lle_tv > set_Pr1723822845lle_tv > $o ).
thf(func_def_136,type,
member334644067lle_fm: produc450659916lle_fm > set_Pr1019238018lle_fm > $o ).
thf(func_def_137,type,
member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o ).
thf(func_def_138,type,
member1592865093lle_fm: produc1250255278lle_fm > set_Pr1475944804lle_fm > $o ).
thf(func_def_139,type,
member1074212123lle_tv: produc484385668lle_tv > set_Pr2012908090lle_tv > $o ).
thf(func_def_140,type,
p: paraco1604210848lle_fm ).
thf(func_def_158,type,
sP0: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_159,type,
sP1: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_160,type,
sK2: produc1852595672lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_161,type,
sK3: produc1852595672lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_162,type,
sK4: produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_163,type,
sK5: produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_164,type,
sK6: ( produc1852595672lle_tv > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_165,type,
sK7: ( produc1852595672lle_tv > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_166,type,
sK8: ( paraco1605129243lle_tv > $o ) > nat ).
thf(func_def_167,type,
sK9: ( paraco1605129243lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_168,type,
sK10: ( paraco1605129243lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_169,type,
sK11: ( produc484385668lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_170,type,
sK12: ( produc484385668lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_171,type,
sK13: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > ( ( produc1647334210lle_tv > $o ) > $o ) > produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_172,type,
sK14: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > ( ( produc1647334210lle_tv > $o ) > $o ) > produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_173,type,
sK15: produc450659916lle_fm > paraco1604210848lle_fm ).
thf(func_def_174,type,
sK16: produc450659916lle_fm > paraco1604210848lle_fm ).
thf(func_def_175,type,
sK17: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_176,type,
sK18: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_177,type,
sK19: ( produc1852595672lle_tv > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_178,type,
sK20: ( produc1852595672lle_tv > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_179,type,
sK21: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_180,type,
sK22: ( produc450659916lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_181,type,
sK23: ( produc450659916lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_182,type,
sK24: ( produc696645085lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_183,type,
sK25: ( produc696645085lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_184,type,
sK26: produc484385668lle_tv > produc1647334210lle_tv ).
thf(func_def_185,type,
sK27: produc484385668lle_tv > produc1647334210lle_tv ).
thf(func_def_186,type,
sK28: ( paraco1605129243lle_tv > $o ) > $o ).
thf(func_def_187,type,
sK29: ( paraco1605129243lle_tv > $o ) > nat ).
thf(func_def_188,type,
sK30: produc1852595672lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_189,type,
sK31: produc1852595672lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_190,type,
sK32: paraco1605129243lle_tv > nat ).
thf(func_def_191,type,
sK33: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_192,type,
sK34: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_193,type,
sK35: ( produc1647334210lle_tv > $o ) > ( produc1647334210lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_194,type,
sK36: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > ( $o > $o ) > produc484385668lle_tv > produc1647334210lle_tv ).
thf(func_def_195,type,
sK37: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > ( $o > $o ) > produc484385668lle_tv > produc1647334210lle_tv ).
thf(func_def_196,type,
sK38: ( produc484385668lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_197,type,
sK39: ( produc484385668lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_198,type,
sK40: ( produc484385668lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_199,type,
sK41: produc696645085lle_fm > ( $o > $o ) > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_200,type,
sK42: produc696645085lle_fm > ( $o > $o ) > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_201,type,
sK43: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > produc696645085lle_fm > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_202,type,
sK44: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > produc696645085lle_fm > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_203,type,
sK45: produc1250255278lle_fm > produc696645085lle_fm ).
thf(func_def_204,type,
sK46: produc1250255278lle_fm > produc696645085lle_fm ).
thf(func_def_205,type,
sK47: ( produc1250255278lle_fm > $o ) > produc696645085lle_fm ).
thf(func_def_206,type,
sK48: ( produc1250255278lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_207,type,
sK49: ( produc1250255278lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_208,type,
sK50: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_209,type,
sK51: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_210,type,
sK52: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_211,type,
sK53: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_212,type,
sK54: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_213,type,
sK55: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_214,type,
sK56: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_215,type,
sK57: paraco1604210848lle_fm > list_char ).
thf(func_def_216,type,
sK58: ( produc1250255278lle_fm > $o ) > produc696645085lle_fm ).
thf(func_def_217,type,
sK59: ( produc1250255278lle_fm > $o ) > produc696645085lle_fm ).
thf(func_def_218,type,
sK60: produc1443694919lle_tv > paraco1604210848lle_fm ).
thf(func_def_219,type,
sK61: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_220,type,
sK62: produc696645085lle_fm > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_221,type,
sK63: produc696645085lle_fm > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_222,type,
sK64: ( paraco1605129243lle_tv > $o ) > produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_223,type,
sK65: ( paraco1605129243lle_tv > $o ) > produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_224,type,
sK66: ( produc696645085lle_fm > $o ) > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_225,type,
sK67: ( produc696645085lle_fm > $o ) > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_226,type,
sK68: produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_227,type,
sK69: produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_228,type,
sK70: produc484385668lle_tv > produc1647334210lle_tv ).
thf(func_def_229,type,
sK71: produc484385668lle_tv > produc1647334210lle_tv ).
thf(func_def_230,type,
sK72: produc1647334210lle_tv > set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_231,type,
sK73: produc1647334210lle_tv > set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_232,type,
sK74: ( produc484385668lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_233,type,
sK75: ( produc484385668lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_234,type,
sK76: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > ( produc696645085lle_fm > produc696645085lle_fm ) > list_char > paraco1605129243lle_tv ).
thf(func_def_235,type,
sK77: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > ( produc696645085lle_fm > produc696645085lle_fm ) > paraco1604210848lle_fm ).
thf(func_def_236,type,
sK78: produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_237,type,
sK79: produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_238,type,
sK80: ( ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm ) > produc696645085lle_fm > set_li72793489lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_239,type,
sK81: ( ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm ) > produc696645085lle_fm > set_li72793489lle_tv > paraco1604210848lle_fm ).
thf(func_def_240,type,
sK82: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc484385668lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_241,type,
sK83: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc484385668lle_tv > ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_242,type,
sK84: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > ( produc484385668lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_243,type,
sK85: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > ( produc484385668lle_tv > $o ) > produc1647334210lle_tv ).
thf(func_def_244,type,
sK86: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_245,type,
sK87: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_246,type,
sK88: produc1250255278lle_fm > paraco1604210848lle_fm ).
thf(func_def_247,type,
sK89: produc1250255278lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_248,type,
sK90: produc1250255278lle_fm > produc696645085lle_fm ).
thf(func_def_249,type,
sK91: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > produc1443694919lle_tv > ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > list_char > paraco1605129243lle_tv ).
thf(func_def_250,type,
sK92: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > produc1443694919lle_tv > ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > paraco1604210848lle_fm ).
thf(func_def_251,type,
sK93: produc1443694919lle_tv > paraco1604210848lle_fm ).
thf(func_def_252,type,
sK94: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_253,type,
sK95: ( produc1647334210lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_254,type,
sK96: ( produc1647334210lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_255,type,
sK97: produc484385668lle_tv > paraco1605129243lle_tv ).
thf(func_def_256,type,
sK98: produc484385668lle_tv > produc1647334210lle_tv ).
thf(func_def_257,type,
sK99: produc484385668lle_tv > paraco1605129243lle_tv ).
thf(func_def_258,type,
sK100: ( produc1443694919lle_tv > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_259,type,
sK101: ( produc1443694919lle_tv > $o ) > paraco1604210848lle_fm ).
thf(func_def_260,type,
sK102: ( produc450659916lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_261,type,
sK103: ( produc450659916lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_262,type,
sK104: ( produc1250255278lle_fm > $o ) > produc696645085lle_fm ).
thf(func_def_263,type,
sK105: ( produc1250255278lle_fm > $o ) > produc696645085lle_fm ).
thf(func_def_264,type,
sK106: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_265,type,
sK107: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_266,type,
sK108: ( produc1443694919lle_tv > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_267,type,
sK109: ( produc1443694919lle_tv > $o ) > paraco1604210848lle_fm ).
thf(func_def_268,type,
sK110: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_269,type,
sK111: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_270,type,
sK112: produc450659916lle_fm > paraco1604210848lle_fm ).
thf(func_def_271,type,
sK113: produc450659916lle_fm > paraco1604210848lle_fm ).
thf(func_def_272,type,
sK114: ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc1647334210lle_tv > set_Pr2120184979lle_fm > ( ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ) > paraco1604210848lle_fm ).
thf(func_def_273,type,
sK115: ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc1647334210lle_tv > set_Pr2120184979lle_fm > ( ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ).
thf(func_def_274,type,
sK116: ( produc1443694919lle_tv > produc696645085lle_fm ) > ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > paraco1604210848lle_fm ).
thf(func_def_275,type,
sK117: ( produc1443694919lle_tv > produc696645085lle_fm ) > ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > list_char > paraco1605129243lle_tv ).
thf(func_def_276,type,
sK118: produc696645085lle_fm > ( produc696645085lle_fm > $o ) > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > list_char > paraco1605129243lle_tv ).
thf(func_def_277,type,
sK119: produc696645085lle_fm > ( produc696645085lle_fm > $o ) > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > paraco1604210848lle_fm ).
thf(func_def_278,type,
sK120: produc696645085lle_fm > set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > paraco1605129243lle_tv ).
thf(func_def_279,type,
sK121: produc696645085lle_fm > set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > paraco1605129243lle_tv ).
thf(func_def_280,type,
sK122: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_281,type,
sK123: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_282,type,
sK124: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_283,type,
sK125: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_284,type,
sK126: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_285,type,
sK127: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_286,type,
sK128: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_287,type,
sK129: ( paraco1604210848lle_fm > $o ) > list_char ).
thf(func_def_288,type,
sK130: paraco1605129243lle_tv > $o ).
thf(func_def_289,type,
sK131: paraco1605129243lle_tv > nat ).
thf(func_def_290,type,
sK132: produc1250255278lle_fm > produc696645085lle_fm ).
thf(func_def_291,type,
sK133: produc1250255278lle_fm > produc696645085lle_fm ).
thf(func_def_292,type,
sK134: ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > set_Pr2120184979lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_293,type,
sK135: ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > set_Pr2120184979lle_fm > paraco1604210848lle_fm ).
thf(func_def_294,type,
sK136: ( produc484385668lle_tv > $o ) > ( produc484385668lle_tv > $o ) > produc484385668lle_tv ).
thf(func_def_295,type,
sK137: produc696645085lle_fm > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_296,type,
sK138: produc696645085lle_fm > ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_297,type,
sK139: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_298,type,
sK140: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_299,type,
sK141: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_300,type,
sK142: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_301,type,
sK143: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_302,type,
sK144: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_303,type,
sK145: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_304,type,
sK146: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_305,type,
sK147: produc696645085lle_fm > list_char ).
thf(func_def_306,type,
sK148: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_307,type,
sK149: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_308,type,
sK150: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_309,type,
sK151: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_310,type,
sK152: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_311,type,
sK153: ( produc696645085lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_312,type,
sK154: ( produc696645085lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_313,type,
sK155: ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( produc1647334210lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_314,type,
sK156: ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( produc1647334210lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_315,type,
sK157: produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_316,type,
sK158: produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_317,type,
sK159: ( produc696645085lle_fm > $o ) > produc1443694919lle_tv > ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > list_char > paraco1605129243lle_tv ).
thf(func_def_318,type,
sK160: ( produc696645085lle_fm > $o ) > produc1443694919lle_tv > ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > paraco1604210848lle_fm ).
thf(func_def_319,type,
sK161: produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_320,type,
sK162: produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_321,type,
sK163: ( produc1647334210lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_322,type,
sK164: ( produc1647334210lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_323,type,
sK165: produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_324,type,
sK166: produc1647334210lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_326,type,
sK168: paraco1605129243lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_327,type,
sK169: paraco1605129243lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv ).
thf(func_def_328,type,
sK170: ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_329,type,
sK171: produc696645085lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_330,type,
ph172:
!>[X0: $tType] : X0 ).
thf(f2691,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f2555,f2562,f2683]) ).
thf(f2683,plain,
~ spl167_1,
inference(avatar_contradiction_clause,[status(thm)],[f2682]) ).
thf(f2682,plain,
( $false
| ~ spl167_1 ),
inference(trivial_inequality_removal,[status(thm)],[f2677]) ).
thf(f2677,plain,
( ( $false = $true )
| ~ spl167_1 ),
inference(equality_resolution,[status(thm)],[f2625]) ).
thf(f2625,plain,
( ! [X0: $o] :
( ( ( paraco1344940915le_Det @ X0 )
!= ( paraco1344940915le_Det @ $false ) )
| ( $true = X0 ) )
| ~ spl167_1 ),
inference(trivial_inequality_removal,[status(thm)],[f2620]) ).
thf(f2620,plain,
( ! [X0: $o] :
( ( $false = $true )
| ( $true = X0 )
| ( ( paraco1344940915le_Det @ X0 )
!= ( paraco1344940915le_Det @ $false ) ) )
| ~ spl167_1 ),
inference(superposition,[status(thm)],[f2033,f2543]) ).
thf(f2543,plain,
( ( ( paraco1344940915le_Det @ $false )
= ( paraco1344940915le_Det @ $true ) )
| ~ spl167_1 ),
inference(avatar_component_clause,[status(thm)],[f2541]) ).
thf(f2541,definition,
( spl167_1
<=> ( ( paraco1344940915le_Det @ $false )
= ( paraco1344940915le_Det @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl167_1])],[avatar_definition]) ).
thf(f2033,plain,
! [X0: $o,X1: $o] :
( ( ( paraco1344940915le_Det @ X0 )
!= ( paraco1344940915le_Det @ X1 ) )
| ( $false = X1 )
| ( $true = X0 ) ),
inference(equality_proxy_clausification,[status(thm)],[f2030]) ).
thf(f2030,plain,
! [X0: $o,X1: $o] :
( ( $false = X1 )
| ( $true = X0 )
| ( $false
= ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f2029]) ).
thf(f2029,plain,
! [X0: $o,X1: $o] :
( ( X0 = X1 )
| ( $false
= ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f2028]) ).
thf(f2028,plain,
! [X0: $o,X1: $o] :
( ( $true
= ( X0 = X1 ) )
| ( $false
= ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f1688]) ).
thf(f1688,plain,
! [X0: $o,X1: $o] :
( ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) )
= ( X0 = X1 ) ),
inference(cnf_transformation,[status(thm)],[f612]) ).
thf(f612,plain,
! [X0: $o,X1: $o] :
( ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) )
= ( X0 = X1 ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $o,X1: $o] :
( ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) )
= ( X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',fact_0_tv_Oinject_I1_J) ).
thf(f2562,plain,
( spl167_1
| ~ spl167_3 ),
inference(avatar_split_clause,[status(thm)],[f2561,f2550,f2541]) ).
thf(f2550,definition,
( spl167_3
<=> ! [X0: list_char > paraco1605129243lle_tv] :
( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X0 @ p ) ) ),
introduced(definition,[new_symbols(naming,[spl167_3])],[avatar_definition]) ).
thf(f2561,plain,
( ( ( paraco1344940915le_Det @ $false )
= ( paraco1344940915le_Det @ $true ) )
| ~ spl167_3 ),
inference(backward_demodulation,[status(thm)],[f1527,f2551]) ).
thf(f2551,plain,
( ! [X0: list_char > paraco1605129243lle_tv] :
( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X0 @ p ) )
| ~ spl167_3 ),
inference(avatar_component_clause,[status(thm)],[f2550]) ).
thf(f1527,plain,
! [X0: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ X0 @ p )
= ( paraco1344940915le_Det @ $true ) ),
inference(cnf_transformation,[status(thm)],[f1071]) ).
thf(f1071,plain,
! [X0: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ X0 @ p )
= ( paraco1344940915le_Det @ $true ) ),
inference(ennf_transformation,[status(thm)],[f586]) ).
thf(f586,plain,
~ ? [X0: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ X0 @ p )
!= ( paraco1344940915le_Det @ $true ) ),
inference(fool_elimination,[status(thm)],[f585]) ).
thf(f585,plain,
~ ? [X0: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ X0 @ p )
!= ( paraco1344940915le_Det @ $true ) ),
inference(rectify,[status(thm)],[f359]) ).
thf(f359,negated_conjecture,
~ ? [X98: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ X98 @ p )
!= ( paraco1344940915le_Det @ $true ) ),
inference(negated_conjecture,[status(cth)],[f358]) ).
thf(f358,conjecture,
? [X98: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ X98 @ p )
!= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',conj_0) ).
thf(f2555,plain,
( spl167_1
| spl167_3 ),
inference(avatar_split_clause,[status(thm)],[f2554,f2550,f2541]) ).
thf(f2554,plain,
! [X0: list_char > paraco1605129243lle_tv] :
( ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X0 @ p ) )
| ( ( paraco1344940915le_Det @ $false )
= ( paraco1344940915le_Det @ $true ) ) ),
inference(subsumption_resolution,[status(thm)],[f2532,f1527]) ).
thf(f2532,plain,
! [X0: list_char > paraco1605129243lle_tv] :
( ( ( paraco1344940915le_Det @ $false )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X0 @ p )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X0 @ p ) ) ),
inference(superposition,[status(thm)],[f1671,f2223]) ).
thf(f2223,plain,
! [X1: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ p ) )
= ( paraco1344940915le_Det @ $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f2222]) ).
thf(f2222,plain,
! [X1: list_char > paraco1605129243lle_tv] :
( ( ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ p ) )
= ( paraco1344940915le_Det @ $true ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f2221]) ).
thf(f2221,plain,
! [X1: list_char > paraco1605129243lle_tv] :
( ( ^ [Y0: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ Y0 @ ( paraco445776468le_Neg @ p ) )
= ( paraco1344940915le_Det @ $true ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f2220]) ).
thf(f2220,plain,
( ( !! @ ( list_char > paraco1605129243lle_tv )
@ ^ [Y0: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ Y0 @ ( paraco445776468le_Neg @ p ) )
= ( paraco1344940915le_Det @ $true ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f1813]) ).
thf(f1813,plain,
( ( ^ [Y0: paraco1604210848lle_fm] :
( !! @ ( list_char > paraco1605129243lle_tv )
@ ^ [Y1: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ Y1 @ Y0 )
= ( paraco1344940915le_Det @ $true ) ) )
@ ( paraco445776468le_Neg @ p ) )
= $true ),
inference(definition_unfolding,[status(thm)],[f1605,f1380]) ).
thf(f1380,plain,
( paraco327635598_valid
= ( ^ [Y0: paraco1604210848lle_fm] :
( !! @ ( list_char > paraco1605129243lle_tv )
@ ^ [Y1: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ Y1 @ Y0 )
= ( paraco1344940915le_Det @ $true ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f750]) ).
thf(f750,plain,
( paraco327635598_valid
= ( ^ [Y0: paraco1604210848lle_fm] :
( !! @ ( list_char > paraco1605129243lle_tv )
@ ^ [Y1: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ Y1 @ Y0 )
= ( paraco1344940915le_Det @ $true ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f749]) ).
thf(f749,plain,
( paraco327635598_valid
= ( ^ [X0: paraco1604210848lle_fm] :
! [X1: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ X1 @ X0 )
= ( paraco1344940915le_Det @ $true ) ) ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
( paraco327635598_valid
= ( ^ [X2: paraco1604210848lle_fm] :
! [X3: list_char > paraco1605129243lle_tv] :
( ( paraco1325918602e_eval @ X3 @ X2 )
= ( paraco1344940915le_Det @ $true ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',fact_2_valid__def) ).
thf(f1605,plain,
( ( paraco327635598_valid @ ( paraco445776468le_Neg @ p ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f674]) ).
thf(f674,plain,
( ( paraco327635598_valid @ ( paraco445776468le_Neg @ p ) )
= $true ),
inference(fool_elimination,[status(thm)],[f673]) ).
thf(f673,plain,
paraco327635598_valid @ ( paraco445776468le_Neg @ p ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
paraco327635598_valid @ ( paraco445776468le_Neg @ p ),
file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',fact_1_assms) ).
thf(f1671,plain,
! [X0: paraco1604210848lle_fm,X1: list_char > paraco1605129243lle_tv] :
( ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) ) )
| ( ( paraco1325918602e_eval @ X1 @ X0 )
!= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f1092]) ).
thf(f1092,plain,
! [X0: paraco1604210848lle_fm,X1: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1344940915le_Det @ $false )
!= ( paraco1325918602e_eval @ X1 @ X0 ) ) )
& ( ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X1 @ X0 ) )
| ( ( ( ( paraco1325918602e_eval @ X1 @ X0 )
= ( paraco1344940915le_Det @ $true ) )
| ( ( paraco1325918602e_eval @ X1 @ X0 )
= ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) ) ) )
& ( ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) ) )
| ( ( paraco1325918602e_eval @ X1 @ X0 )
!= ( paraco1344940915le_Det @ $true ) ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f772]) ).
thf(f772,plain,
! [X0: paraco1604210848lle_fm,X1: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1344940915le_Det @ $false )
!= ( paraco1325918602e_eval @ X1 @ X0 ) )
=> ( ( ( ( paraco1325918602e_eval @ X1 @ X0 )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ X1 @ X0 )
= ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) ) ) )
& ( ( ( paraco1325918602e_eval @ X1 @ X0 )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) ) ) ) ) )
& ( ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X1 @ X0 ) )
=> ( ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) )
= ( paraco1344940915le_Det @ $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f771]) ).
thf(f771,plain,
! [X0: paraco1604210848lle_fm,X1: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ X1 @ X0 )
= ( paraco1344940915le_Det @ $false ) )
=> ( ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) )
= ( paraco1344940915le_Det @ $true ) ) )
& ( ( ( paraco1344940915le_Det @ $false )
!= ( paraco1325918602e_eval @ X1 @ X0 ) )
=> ( ( ( ( paraco1325918602e_eval @ X1 @ X0 )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ X1 @ X0 )
= ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) ) ) )
& ( ( ( paraco1325918602e_eval @ X1 @ X0 )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X1 @ ( paraco445776468le_Neg @ X0 ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,axiom,
! [X5: paraco1604210848lle_fm,X4: list_char > paraco1605129243lle_tv] :
( ( ( ( paraco1325918602e_eval @ X4 @ X5 )
= ( paraco1344940915le_Det @ $false ) )
=> ( ( paraco1325918602e_eval @ X4 @ ( paraco445776468le_Neg @ X5 ) )
= ( paraco1344940915le_Det @ $true ) ) )
& ( ( ( paraco1344940915le_Det @ $false )
!= ( paraco1325918602e_eval @ X4 @ X5 ) )
=> ( ( ( ( paraco1325918602e_eval @ X4 @ X5 )
!= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1325918602e_eval @ X4 @ X5 )
= ( paraco1325918602e_eval @ X4 @ ( paraco445776468le_Neg @ X5 ) ) ) )
& ( ( ( paraco1325918602e_eval @ X4 @ X5 )
= ( paraco1344940915le_Det @ $true ) )
=> ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ X4 @ ( paraco445776468le_Neg @ X5 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',fact_7_eval__negation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP137^1 : TPTP v9.2.1. Released v7.5.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.32 % Computer : n011.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue Feb 24 08:27:02 EST 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.44 ---- Original DTF file ---
% 0.19/0.44 thf(spec,logic,$$dhol).
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 % File : ITP137^1 : TPTP v9.2.1. Released v7.5.0.
% 0.19/0.44 % Domain : Interactive Theorem Proving
% 0.19/0.44 % Problem : Sledgehammer Paraconsistency problem prob_407__3265932_1
% 0.19/0.44 % Version : Especial.
% 0.19/0.44 % English :
% 0.19/0.44
% 0.19/0.44 % Refs : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.19/0.44 % : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.19/0.44 % Source : [Des21]
% 0.19/0.44 % Names : Paraconsistency/prob_407__3265932_1 [Des21]
% 0.19/0.44
% 0.19/0.44 % Status : Theorem
% 0.19/0.44 % Rating : 0.44 v9.1.0, 0.50 v8.2.0, 0.54 v8.1.0, 0.55 v7.5.0
% 0.19/0.44 % Syntax : Number of formulae : 499 ( 250 unt; 141 typ; 0 def)
% 0.19/0.44 % Number of atoms : 764 ( 473 equ; 0 cnn)
% 0.19/0.44 % Maximal formula atoms : 16 ( 2 avg)
% 0.19/0.44 % Number of connectives : 2646 ( 122 ~; 5 |; 44 &;2233 @)
% 0.19/0.44 % ( 0 <=>; 242 =>; 0 <=; 0 <~>)
% 0.19/0.44 % Maximal formula depth : 16 ( 6 avg)
% 0.19/0.44 % Number of types : 24 ( 23 usr)
% 0.19/0.44 % Number of type conns : 971 ( 971 >; 0 *; 0 +; 0 <<)
% 0.19/0.44 % Number of symbols : 121 ( 118 usr; 4 con; 0-4 aty)
% 0.19/0.44 % Number of variables : 1205 ( 174 ^;1012 !; 19 ?;1205 :)
% 0.19/0.44 % SPC : TH0_THM_EQU_NAR
% 0.19/0.44
% 0.19/0.44 % Comments : This file was generated by Sledgehammer 2021-02-23 15:36:27.301
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 % Could-be-implicit typings (23)
% 0.19/0.44 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_Mt__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J_J,type,
% 0.19/0.44 set_Pr1475944804lle_fm: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_Mt__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 0.19/0.44 produc1250255278lle_fm: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_J,type,
% 0.19/0.44 set_Pr2012908090lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 produc484385668lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_J,type,
% 0.19/0.44 set_Pr2061825550lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 produc1852595672lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_J,type,
% 0.19/0.44 set_Pr1723822845lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 0.19/0.44 set_Pr2120184979lle_fm: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 produc1443694919lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc696645085lle_fm: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_I_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J_J,type,
% 0.19/0.44 set_Pr38785645e_tv_o: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 set_Pr2014382200lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 0.19/0.44 set_Pr1019238018lle_fm: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1647334210lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc450659916lle_fm: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 set_li72793489lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_It__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 set_Pa1764573435lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 set_Pa1499417344lle_fm: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 paraco1605129243lle_tv: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 paraco1604210848lle_fm: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__List__Olist_It__String__Ochar_J,type,
% 0.19/0.44 list_char: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Set__Oset_I_Eo_J,type,
% 0.19/0.44 set_o: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(ty_n_t__Nat__Onat,type,
% 0.19/0.44 nat: $tType ).
% 0.19/0.44
% 0.19/0.44 % Explicit typings (118)
% 0.19/0.44 thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 the_Pr1724341910lle_fm: ( produc696645085lle_fm > $o ) > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 the_Pr304385787lle_tv: ( produc1647334210lle_tv > $o ) > produc1647334210lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 if_Par1134130401lle_tv: $o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Order__Relation_OaboveS_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 order_1376767238lle_tv: set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Order__Relation_Oabove_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 order_1434492699lle_tv: set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Order__Relation_Orelation__of_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 order_1215526505lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_Pr2014382200lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Oeval,type,
% 0.19/0.44 paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OCon_H,type,
% 0.19/0.44 paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OEql,type,
% 0.19/0.44 paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OEql_H,type,
% 0.19/0.44 paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_ONeg_H,type,
% 0.19/0.44 paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OPro,type,
% 0.19/0.44 paraco1480028776le_Pro: list_char > paraco1604210848lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OTruth,type,
% 0.19/0.44 paraco367965286_Truth: paraco1604210848lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Otv_ODet,type,
% 0.19/0.44 paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Otv_OIndet,type,
% 0.19/0.44 paraco793048302_Indet: nat > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Otv_Ocase__tv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 paraco2051596139lle_tv: ( $o > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ovalid,type,
% 0.19/0.44 paraco327635598_valid: paraco1604210848lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OPair_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1297923922lle_tv: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > produc1852595672lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OPair_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 produc1710735575lle_fm: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OPair_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1943344577lle_tv: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc1443694919lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OPair_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 produc1126104134lle_fm: paraco1604210848lle_fm > paraco1604210848lle_fm > produc450659916lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OPair_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc2058540732lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc407632608lle_fm: produc696645085lle_fm > produc696645085lle_fm > produc1250255278lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1537086518lle_tv: produc1647334210lle_tv > produc1647334210lle_tv > produc484385668lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OSigma_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 produc327378790lle_fm: set_li72793489lle_tv > ( ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm ) > set_Pr2120184979lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OSigma_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc559987792lle_tv: set_Pa1499417344lle_fm > ( paraco1604210848lle_fm > set_li72793489lle_tv ) > set_Pr1723822845lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_OSigma_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc479904331lle_tv: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > set_Pa1764573435lle_tv ) > set_Pr2014382200lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Obool_Ocase__bool_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc234482697lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 0.19/0.44 produc1667860344e_tv_o: ( produc1852595672lle_tv > $o ) > ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_Eo,type,
% 0.19/0.44 produc275353523e_fm_o: ( produc696645085lle_fm > $o ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc251170289lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 0.19/0.44 produc298562633e_tv_o: ( produc1443694919lle_tv > $o ) > paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc635060359lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_Eo,type,
% 0.19/0.44 produc1339594628e_fm_o: ( produc450659916lle_fm > $o ) > paraco1604210848lle_fm > paraco1604210848lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
% 0.19/0.44 produc2005494902e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_Eo,type,
% 0.19/0.44 produc621423502e_tv_o: ( produc1647334210lle_tv > $o ) > paraco1605129243lle_tv > paraco1605129243lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc724036226lle_tv: ( produc1647334210lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_Eo,type,
% 0.19/0.44 produc408556266e_fm_o: ( produc1250255278lle_fm > $o ) > produc696645085lle_fm > produc696645085lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ocurry_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 0.19/0.44 produc1113543188e_tv_o: ( produc484385668lle_tv > $o ) > produc1647334210lle_tv > produc1647334210lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_Eo,type,
% 0.19/0.44 produc1504058474e_fm_o: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > produc696645085lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc144063912lle_fm: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ointernal__case__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc527953982lle_fm: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > produc1443694919lle_tv > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ointernal__case__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
% 0.19/0.44 produc2050176383e_tv_o: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > produc1647334210lle_tv > produc1647334210lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ointernal__case__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc192124683lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Ointernal__case__prod_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 0.19/0.44 produc323213387e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc484385668lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Omap__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 produc1900967599lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Omap__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc918997546lle_tv: ( ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc696645085lle_fm > produc1647334210lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Omap__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 produc2008706836lle_fm: ( paraco1605129243lle_tv > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > produc1647334210lle_tv > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Omap__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc1345917071lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 0.19/0.44 produc101320793e_tv_o: ( ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > $o ) > produc1852595672lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1949847036lle_tv: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_Eo,type,
% 0.19/0.44 produc1221696404e_fm_o: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > produc696645085lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc427355858lle_fm: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc401650381lle_tv: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc1647334210lle_tv ) > produc696645085lle_fm > produc1647334210lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 0.19/0.44 produc1244905514e_tv_o: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o ) > produc1443694919lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc811245928lle_fm: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > produc1443694919lle_tv > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1629543915lle_tv: ( paraco1604210848lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ) > produc450659916lle_fm > list_char > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc182748835lle_fm: ( paraco1604210848lle_fm > paraco1604210848lle_fm > produc696645085lle_fm ) > produc450659916lle_fm > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1370344801lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > list_char > paraco1605129243lle_tv ) > produc1647334210lle_tv > list_char > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
% 0.19/0.44 produc25129173e_tv_o: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > produc1647334210lle_tv > produc1647334210lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_Eo,type,
% 0.19/0.44 produc852673135e_tv_o: ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > produc1647334210lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc1882560353lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc377990317lle_fm: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc696645085lle_fm ) > produc1647334210lle_tv > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc942307752lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_Eo,type,
% 0.19/0.44 produc1234307915e_fm_o: ( produc696645085lle_fm > produc696645085lle_fm > $o ) > produc1250255278lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 0.19/0.44 produc648306805e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc484385668lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 produc29804011lle_fm: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ofst_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc262413013lle_tv: produc1443694919lle_tv > paraco1604210848lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Ofst_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc488585168lle_tv: produc1647334210lle_tv > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 produc148705065lle_fm: produc696645085lle_fm > paraco1604210848lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Osnd_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc381314067lle_tv: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Osnd_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc1837067022lle_tv: produc1647334210lle_tv > paraco1605129243lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1176291762lle_tv: produc1852595672lle_tv > produc1852595672lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 produc1000205111lle_fm: produc696645085lle_fm > produc1443694919lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Oswap_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1232814113lle_tv: produc1443694919lle_tv > produc696645085lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Oswap_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 produc1426802342lle_fm: produc450659916lle_fm > produc450659916lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Oswap_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 produc211755292lle_tv: produc1647334210lle_tv > produc1647334210lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Oswap_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 produc116249920lle_fm: produc1250255278lle_fm > produc1250255278lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Product__Type_Oprod_Oswap_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 produc1733045910lle_tv: produc484385668lle_tv > produc484385668lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Relation_Oinv__image_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 inv_im719552961lle_tv: set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_OCollect_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 collec1351702300lle_tv: ( ( list_char > paraco1605129243lle_tv ) > $o ) > set_li72793489lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_OCollect_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 collec1102043437lle_tv: ( produc1852595672lle_tv > $o ) > set_Pr2061825550lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 collec835549234lle_fm: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 collec15260823lle_tv: ( produc1647334210lle_tv > $o ) > set_Pr2014382200lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_Mt__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 0.19/0.44 collec1363950211lle_fm: ( produc1250255278lle_fm > $o ) > set_Pr1475944804lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 collec1900284505lle_tv: ( produc484385668lle_tv > $o ) > set_Pr2012908090lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 image_305309148lle_tv: ( produc696645085lle_fm > list_char > paraco1605129243lle_tv ) > set_Pr2120184979lle_fm > set_li72793489lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_Eo,type,
% 0.19/0.44 image_1402739636e_fm_o: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm > set_o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 image_807538418lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 image_924970994lle_tv: ( produc696645085lle_fm > produc1443694919lle_tv ) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 image_1110913773lle_tv: ( produc696645085lle_fm > produc1647334210lle_tv ) > set_Pr2120184979lle_fm > set_Pr2014382200lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 image_326034184lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 image_496052427lle_tv: ( produc450659916lle_fm > list_char > paraco1605129243lle_tv ) > set_Pr1019238018lle_fm > set_li72793489lle_tv ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 image_1662022595lle_fm: ( produc450659916lle_fm > produc696645085lle_fm ) > set_Pr1019238018lle_fm > set_Pr2120184979lle_fm ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
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% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
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% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
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% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
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% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
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% 0.19/0.44
% 0.19/0.44 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_001_Eo,type,
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% 0.19/0.44
% 0.19/0.44 thf(sy_c_Wellfounded_Olex__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
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% 0.19/0.44
% 0.19/0.44 thf(sy_c_Wellfounded_Olex__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
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% 0.19/0.44
% 0.19/0.44 thf(sy_c_Wfrec_Osame__fst_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
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% 0.19/0.44
% 0.19/0.44 thf(sy_c_Wfrec_Osame__fst_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
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% 0.19/0.44
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% 0.19/0.44 member894927066lle_tv: ( list_char > paraco1605129243lle_tv ) > set_li72793489lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
% 0.19/0.44 member1832524214e_tv_o: ( produc1647334210lle_tv > $o ) > set_Pr38785645e_tv_o > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001_Eo,type,
% 0.19/0.44 member_o: $o > set_o > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 0.19/0.44 member265982409lle_fm: paraco1604210848lle_fm > set_Pa1499417344lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 0.19/0.44 member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 member146333935lle_tv: produc1852595672lle_tv > set_Pr2061825550lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 member1474794996lle_fm: produc696645085lle_fm > set_Pr2120184979lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 member74361182lle_tv: produc1443694919lle_tv > set_Pr1723822845lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 0.19/0.44 member334644067lle_fm: produc450659916lle_fm > set_Pr1019238018lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 0.19/0.44 member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_Mt__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 0.19/0.44 member1592865093lle_fm: produc1250255278lle_fm > set_Pr1475944804lle_fm > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 0.19/0.44 member1074212123lle_tv: produc484385668lle_tv > set_Pr2012908090lle_tv > $o ).
% 0.19/0.44
% 0.19/0.44 thf(sy_v_p,type,
% 0.19/0.44 p: paraco1604210848lle_fm ).
% 0.19/0.44
% 0.19/0.44 % Relevant facts (354)
% 0.19/0.44 thf(fact_0_tv_Oinject_I1_J,axiom,
% 0.19/0.44 ! [X1: $o,Y1: $o] :
% 0.19/0.44 ( ( ( paraco1344940915le_Det @ X1 )
% 0.19/0.44 = ( paraco1344940915le_Det @ Y1 ) )
% 0.19/0.44 = ( X1 = Y1 ) ) ).
% 0.19/0.44
% 0.19/0.44 % tv.inject(1)
% 0.19/0.44 thf(fact_1_assms,axiom,
% 0.19/0.44 paraco327635598_valid @ ( paraco445776468le_Neg @ p ) ).
% 0.19/0.44
% 0.19/0.44 % assms
% 0.19/0.44 thf(fact_2_valid__def,axiom,
% 0.19/0.44 ( paraco327635598_valid
% 0.19/0.44 = ( ^ [P: paraco1604210848lle_fm] :
% 0.19/0.44 ! [I: list_char > paraco1605129243lle_tv] :
% 0.19/0.44 ( ( paraco1325918602e_eval @ I @ P )
% 0.19/0.44 = ( paraco1344940915le_Det @ $true ) ) ) ) ).
% 0.19/0.44
% 0.19/0.44 % valid_def
% 0.19/0.44 thf(fact_3_eval_Osimps_I2_J,axiom,
% 0.19/0.44 ! [I2: list_char > paraco1605129243lle_tv] :
% 0.19/0.44 ( ( paraco1325918602e_eval @ I2 @ paraco367965286_Truth )
% 0.19/0.44 = ( paraco1344940915le_Det @ $true ) ) ).
% 0.19/0.44
% 0.19/0.44 % eval.simps(2)
% 0.19/0.44 thf(fact_4_eval_Osimps_I4_J,axiom,
% 0.19/0.44 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 0.19/0.44 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 = ( paraco1325918602e_eval @ I2 @ Q ) )
% 0.19/0.44 => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
% 0.19/0.44 = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
% 0.19/0.44 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 != ( paraco1325918602e_eval @ I2 @ Q ) )
% 0.19/0.44 => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 = ( paraco1344940915le_Det @ $true ) )
% 0.19/0.44 => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
% 0.19/0.44 = ( paraco1325918602e_eval @ I2 @ Q ) ) )
% 0.19/0.44 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 != ( paraco1344940915le_Det @ $true ) )
% 0.19/0.44 => ( ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 0.19/0.44 = ( paraco1344940915le_Det @ $true ) )
% 0.19/0.44 => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
% 0.19/0.44 = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
% 0.19/0.44 & ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 0.19/0.44 != ( paraco1344940915le_Det @ $true ) )
% 0.19/0.44 => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
% 0.19/0.44 = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) ).
% 0.19/0.44
% 0.19/0.44 % eval.simps(4)
% 0.19/0.44 thf(fact_5_eval_Osimps_I5_J,axiom,
% 0.19/0.44 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 0.19/0.44 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 = ( paraco1325918602e_eval @ I2 @ Q ) )
% 0.19/0.44 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
% 0.19/0.44 = ( paraco1344940915le_Det @ $true ) ) )
% 0.19/0.44 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 != ( paraco1325918602e_eval @ I2 @ Q ) )
% 0.19/0.44 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
% 0.19/0.44 = ( paraco1344940915le_Det @ $false ) ) ) ) ).
% 0.19/0.44
% 0.19/0.44 % eval.simps(5)
% 0.19/0.44 thf(fact_6_eval__equality__simplify,axiom,
% 0.19/0.44 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 0.19/0.44 ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
% 0.19/0.44 = ( paraco1344940915le_Det
% 0.19/0.44 @ ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 = ( paraco1325918602e_eval @ I2 @ Q ) ) ) ) ).
% 0.19/0.44
% 0.19/0.44 % eval_equality_simplify
% 0.19/0.44 thf(fact_7_eval__negation,axiom,
% 0.19/0.44 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] :
% 0.19/0.44 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 = ( paraco1344940915le_Det @ $false ) )
% 0.19/0.44 => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
% 0.19/0.44 = ( paraco1344940915le_Det @ $true ) ) )
% 0.19/0.44 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 != ( paraco1344940915le_Det @ $false ) )
% 0.19/0.44 => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 = ( paraco1344940915le_Det @ $true ) )
% 0.19/0.44 => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
% 0.19/0.44 = ( paraco1344940915le_Det @ $false ) ) )
% 0.19/0.44 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.44 != ( paraco1344940915le_Det @ $true ) )
% 0.19/0.44 => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
% 0.19/0.44 = ( paraco1325918602e_eval @ I2 @ P2 ) ) ) ) ) ) ).
% 0.19/0.44
% 0.19/0.44 % eval_negation
% 0.19/0.44 thf(fact_8_tv_Osimps_I5_J,axiom,
% 0.19/0.44 ! [F1: $o > paraco1605129243lle_tv,F2: nat > paraco1605129243lle_tv,X1: $o] :
% 0.19/0.44 ( ( paraco2051596139lle_tv @ F1 @ F2 @ ( paraco1344940915le_Det @ X1 ) )
% 0.19/0.44 = ( F1 @ X1 ) ) ).
% 0.19/0.44
% 0.19/0.44 % tv.simps(5)
% 0.19/0.44 thf(fact_9_eval_Osimps_I1_J,axiom,
% 0.19/0.44 ! [I2: list_char > paraco1605129243lle_tv,S: list_char] :
% 0.19/0.44 ( ( paraco1325918602e_eval @ I2 @ ( paraco1480028776le_Pro @ S ) )
% 0.19/0.44 = ( I2 @ S ) ) ).
% 0.19/0.44
% 0.19/0.44 % eval.simps(1)
% 0.19/0.44 thf(fact_10_tv_Odistinct_I1_J,axiom,
% 0.19/0.44 ! [X1: $o,X2: nat] :
% 0.19/0.44 ( ( paraco1344940915le_Det @ X1 )
% 0.19/0.44 != ( paraco793048302_Indet @ X2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % tv.distinct(1)
% 0.19/0.45 thf(fact_11_tv_Oinduct,axiom,
% 0.19/0.45 ! [P3: paraco1605129243lle_tv > $o,Tv: paraco1605129243lle_tv] :
% 0.19/0.45 ( ! [X: $o] : ( P3 @ ( paraco1344940915le_Det @ X ) )
% 0.19/0.45 => ( ! [X: nat] : ( P3 @ ( paraco793048302_Indet @ X ) )
% 0.19/0.45 => ( P3 @ Tv ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % tv.induct
% 0.19/0.45 thf(fact_12_tv_Oexhaust,axiom,
% 0.19/0.45 ! [Y: paraco1605129243lle_tv] :
% 0.19/0.45 ( ! [X12: $o] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( paraco1344940915le_Det @ X12 ) )
% 0.19/0.45 => ~ ! [X22: nat] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( paraco793048302_Indet @ X22 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % tv.exhaust
% 0.19/0.45 thf(fact_13_fm_Oinject_I2_J,axiom,
% 0.19/0.45 ! [X3: paraco1604210848lle_fm,Y3: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( paraco445776468le_Neg @ X3 )
% 0.19/0.45 = ( paraco445776468le_Neg @ Y3 ) )
% 0.19/0.45 = ( X3 = Y3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.inject(2)
% 0.19/0.45 thf(fact_14_tv_Oinject_I2_J,axiom,
% 0.19/0.45 ! [X2: nat,Y2: nat] :
% 0.19/0.45 ( ( ( paraco793048302_Indet @ X2 )
% 0.19/0.45 = ( paraco793048302_Indet @ Y2 ) )
% 0.19/0.45 = ( X2 = Y2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % tv.inject(2)
% 0.19/0.45 thf(fact_15_fm_Oinject_I4_J,axiom,
% 0.19/0.45 ! [X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm,Y51: paraco1604210848lle_fm,Y52: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( paraco1389086619le_Eql @ X51 @ X52 )
% 0.19/0.45 = ( paraco1389086619le_Eql @ Y51 @ Y52 ) )
% 0.19/0.45 = ( ( X51 = Y51 )
% 0.19/0.45 & ( X52 = Y52 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.inject(4)
% 0.19/0.45 thf(fact_16_fm_Oinject_I1_J,axiom,
% 0.19/0.45 ! [X1: list_char,Y1: list_char] :
% 0.19/0.45 ( ( ( paraco1480028776le_Pro @ X1 )
% 0.19/0.45 = ( paraco1480028776le_Pro @ Y1 ) )
% 0.19/0.45 = ( X1 = Y1 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.inject(1)
% 0.19/0.45 thf(fact_17_fm_Oinject_I3_J,axiom,
% 0.19/0.45 ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,Y41: paraco1604210848lle_fm,Y42: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( paraco69239110le_Con @ X41 @ X42 )
% 0.19/0.45 = ( paraco69239110le_Con @ Y41 @ Y42 ) )
% 0.19/0.45 = ( ( X41 = Y41 )
% 0.19/0.45 & ( X42 = Y42 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.inject(3)
% 0.19/0.45 thf(fact_18_tv_Osimps_I6_J,axiom,
% 0.19/0.45 ! [F1: $o > paraco1605129243lle_tv,F2: nat > paraco1605129243lle_tv,X2: nat] :
% 0.19/0.45 ( ( paraco2051596139lle_tv @ F1 @ F2 @ ( paraco793048302_Indet @ X2 ) )
% 0.19/0.45 = ( F2 @ X2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % tv.simps(6)
% 0.19/0.45 thf(fact_19_fm_Odistinct_I25_J,axiom,
% 0.19/0.45 ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco69239110le_Con @ X41 @ X42 )
% 0.19/0.45 != ( paraco1389086619le_Eql @ X51 @ X52 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(25)
% 0.19/0.45 thf(fact_20_fm_Odistinct_I21_J,axiom,
% 0.19/0.45 ! [X3: paraco1604210848lle_fm,X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco445776468le_Neg @ X3 )
% 0.19/0.45 != ( paraco1389086619le_Eql @ X51 @ X52 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(21)
% 0.19/0.45 thf(fact_21_fm_Odistinct_I19_J,axiom,
% 0.19/0.45 ! [X3: paraco1604210848lle_fm,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco445776468le_Neg @ X3 )
% 0.19/0.45 != ( paraco69239110le_Con @ X41 @ X42 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(19)
% 0.19/0.45 thf(fact_22_fm_Odistinct_I15_J,axiom,
% 0.19/0.45 ! [X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
% 0.19/0.45 ( paraco367965286_Truth
% 0.19/0.45 != ( paraco1389086619le_Eql @ X51 @ X52 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(15)
% 0.19/0.45 thf(fact_23_fm_Odistinct_I13_J,axiom,
% 0.19/0.45 ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
% 0.19/0.45 ( paraco367965286_Truth
% 0.19/0.45 != ( paraco69239110le_Con @ X41 @ X42 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(13)
% 0.19/0.45 thf(fact_24_fm_Odistinct_I11_J,axiom,
% 0.19/0.45 ! [X3: paraco1604210848lle_fm] :
% 0.19/0.45 ( paraco367965286_Truth
% 0.19/0.45 != ( paraco445776468le_Neg @ X3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(11)
% 0.19/0.45 thf(fact_25_fm_Odistinct_I7_J,axiom,
% 0.19/0.45 ! [X1: list_char,X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco1480028776le_Pro @ X1 )
% 0.19/0.45 != ( paraco1389086619le_Eql @ X51 @ X52 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(7)
% 0.19/0.45 thf(fact_26_fm_Odistinct_I5_J,axiom,
% 0.19/0.45 ! [X1: list_char,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco1480028776le_Pro @ X1 )
% 0.19/0.45 != ( paraco69239110le_Con @ X41 @ X42 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(5)
% 0.19/0.45 thf(fact_27_fm_Odistinct_I3_J,axiom,
% 0.19/0.45 ! [X1: list_char,X3: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco1480028776le_Pro @ X1 )
% 0.19/0.45 != ( paraco445776468le_Neg @ X3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(3)
% 0.19/0.45 thf(fact_28_fm_Odistinct_I1_J,axiom,
% 0.19/0.45 ! [X1: list_char] :
% 0.19/0.45 ( ( paraco1480028776le_Pro @ X1 )
% 0.19/0.45 != paraco367965286_Truth ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(1)
% 0.19/0.45 thf(fact_29_double__negation,axiom,
% 0.19/0.45 ( paraco1325918602e_eval
% 0.19/0.45 = ( ^ [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P ) ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % double_negation
% 0.19/0.45 thf(fact_30_string__tv_Oinduct,axiom,
% 0.19/0.45 ! [P3: paraco1605129243lle_tv > $o,A0: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( P3 @ ( paraco1344940915le_Det @ $true ) )
% 0.19/0.45 => ( ( P3 @ ( paraco1344940915le_Det @ $false ) )
% 0.19/0.45 => ( ! [N: nat] : ( P3 @ ( paraco793048302_Indet @ N ) )
% 0.19/0.45 => ( P3 @ A0 ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % string_tv.induct
% 0.19/0.45 thf(fact_31_string__tv_Ocases,axiom,
% 0.19/0.45 ! [X4: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( X4
% 0.19/0.45 != ( paraco1344940915le_Det @ $true ) )
% 0.19/0.45 => ( ( X4
% 0.19/0.45 != ( paraco1344940915le_Det @ $false ) )
% 0.19/0.45 => ~ ! [N: nat] :
% 0.19/0.45 ( X4
% 0.19/0.45 != ( paraco793048302_Indet @ N ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % string_tv.cases
% 0.19/0.45 thf(fact_32_fm_Oinduct,axiom,
% 0.19/0.45 ! [P3: paraco1604210848lle_fm > $o,Fm: paraco1604210848lle_fm] :
% 0.19/0.45 ( ! [X: list_char] : ( P3 @ ( paraco1480028776le_Pro @ X ) )
% 0.19/0.45 => ( ( P3 @ paraco367965286_Truth )
% 0.19/0.45 => ( ! [X: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( P3 @ X )
% 0.19/0.45 => ( P3 @ ( paraco445776468le_Neg @ X ) ) )
% 0.19/0.45 => ( ! [X1a: paraco1604210848lle_fm,X22: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( P3 @ X1a )
% 0.19/0.45 => ( ( P3 @ X22 )
% 0.19/0.45 => ( P3 @ ( paraco69239110le_Con @ X1a @ X22 ) ) ) )
% 0.19/0.45 => ( ! [X1a: paraco1604210848lle_fm,X22: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( P3 @ X1a )
% 0.19/0.45 => ( ( P3 @ X22 )
% 0.19/0.45 => ( P3 @ ( paraco1389086619le_Eql @ X1a @ X22 ) ) ) )
% 0.19/0.45 => ( ! [X1a: paraco1604210848lle_fm,X22: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( P3 @ X1a )
% 0.19/0.45 => ( ( P3 @ X22 )
% 0.19/0.45 => ( P3 @ ( paraco1745535428le_Eql @ X1a @ X22 ) ) ) )
% 0.19/0.45 => ( P3 @ Fm ) ) ) ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.induct
% 0.19/0.45 thf(fact_33_fm_Oexhaust,axiom,
% 0.19/0.45 ! [Y: paraco1604210848lle_fm] :
% 0.19/0.45 ( ! [X12: list_char] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( paraco1480028776le_Pro @ X12 ) )
% 0.19/0.45 => ( ( Y != paraco367965286_Truth )
% 0.19/0.45 => ( ! [X32: paraco1604210848lle_fm] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( paraco445776468le_Neg @ X32 ) )
% 0.19/0.45 => ( ! [X412: paraco1604210848lle_fm,X422: paraco1604210848lle_fm] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( paraco69239110le_Con @ X412 @ X422 ) )
% 0.19/0.45 => ( ! [X512: paraco1604210848lle_fm,X522: paraco1604210848lle_fm] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( paraco1389086619le_Eql @ X512 @ X522 ) )
% 0.19/0.45 => ~ ! [X61: paraco1604210848lle_fm,X62: paraco1604210848lle_fm] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( paraco1745535428le_Eql @ X61 @ X62 ) ) ) ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.exhaust
% 0.19/0.45 thf(fact_34_eval_Osimps_I3_J,axiom,
% 0.19/0.45 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
% 0.19/0.45 = ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1344940915le_Det @ $false ) @ ( paraco1344940915le_Det @ $true ) ) @ paraco793048302_Indet @ ( paraco1325918602e_eval @ I2 @ P2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % eval.simps(3)
% 0.19/0.45 thf(fact_35_eval__equality,axiom,
% 0.19/0.45 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.45 = ( paraco1325918602e_eval @ I2 @ Q ) )
% 0.19/0.45 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 0.19/0.45 = ( paraco1344940915le_Det @ $true ) ) )
% 0.19/0.45 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.45 != ( paraco1325918602e_eval @ I2 @ Q ) )
% 0.19/0.45 => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.45 = ( paraco1344940915le_Det @ $true ) )
% 0.19/0.45 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 0.19/0.45 = ( paraco1325918602e_eval @ I2 @ Q ) ) )
% 0.19/0.45 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.45 != ( paraco1344940915le_Det @ $true ) )
% 0.19/0.45 => ( ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 0.19/0.45 = ( paraco1344940915le_Det @ $true ) )
% 0.19/0.45 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 0.19/0.45 = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
% 0.19/0.45 & ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 0.19/0.45 != ( paraco1344940915le_Det @ $true ) )
% 0.19/0.45 => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.45 = ( paraco1344940915le_Det @ $false ) )
% 0.19/0.45 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 0.19/0.45 = ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ Q ) ) ) )
% 0.19/0.45 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.45 != ( paraco1344940915le_Det @ $false ) )
% 0.19/0.45 => ( ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 0.19/0.45 = ( paraco1344940915le_Det @ $false ) )
% 0.19/0.45 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 0.19/0.45 = ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) ) ) )
% 0.19/0.45 & ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 0.19/0.45 != ( paraco1344940915le_Det @ $false ) )
% 0.19/0.45 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 0.19/0.45 = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % eval_equality
% 0.19/0.45 thf(fact_36_eval_Ocases,axiom,
% 0.19/0.45 ! [X4: produc696645085lle_fm] :
% 0.19/0.45 ( ! [I3: list_char > paraco1605129243lle_tv,S2: list_char] :
% 0.19/0.45 ( X4
% 0.19/0.45 != ( produc1710735575lle_fm @ I3 @ ( paraco1480028776le_Pro @ S2 ) ) )
% 0.19/0.45 => ( ! [I3: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( X4
% 0.19/0.45 != ( produc1710735575lle_fm @ I3 @ paraco367965286_Truth ) )
% 0.19/0.45 => ( ! [I3: list_char > paraco1605129243lle_tv,P4: paraco1604210848lle_fm] :
% 0.19/0.45 ( X4
% 0.19/0.45 != ( produc1710735575lle_fm @ I3 @ ( paraco445776468le_Neg @ P4 ) ) )
% 0.19/0.45 => ( ! [I3: list_char > paraco1605129243lle_tv,P4: paraco1604210848lle_fm,Q2: paraco1604210848lle_fm] :
% 0.19/0.45 ( X4
% 0.19/0.45 != ( produc1710735575lle_fm @ I3 @ ( paraco69239110le_Con @ P4 @ Q2 ) ) )
% 0.19/0.45 => ( ! [I3: list_char > paraco1605129243lle_tv,P4: paraco1604210848lle_fm,Q2: paraco1604210848lle_fm] :
% 0.19/0.45 ( X4
% 0.19/0.45 != ( produc1710735575lle_fm @ I3 @ ( paraco1389086619le_Eql @ P4 @ Q2 ) ) )
% 0.19/0.45 => ~ ! [I3: list_char > paraco1605129243lle_tv,P4: paraco1604210848lle_fm,Q2: paraco1604210848lle_fm] :
% 0.19/0.45 ( X4
% 0.19/0.45 != ( produc1710735575lle_fm @ I3 @ ( paraco1745535428le_Eql @ P4 @ Q2 ) ) ) ) ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % eval.cases
% 0.19/0.45 thf(fact_37_fm_Odistinct_I17_J,axiom,
% 0.19/0.45 ! [X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 0.19/0.45 ( paraco367965286_Truth
% 0.19/0.45 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(17)
% 0.19/0.45 thf(fact_38_mem__Collect__eq,axiom,
% 0.19/0.45 ! [A: produc1250255278lle_fm,P3: produc1250255278lle_fm > $o] :
% 0.19/0.45 ( ( member1592865093lle_fm @ A @ ( collec1363950211lle_fm @ P3 ) )
% 0.19/0.45 = ( P3 @ A ) ) ).
% 0.19/0.45
% 0.19/0.45 % mem_Collect_eq
% 0.19/0.45 thf(fact_39_mem__Collect__eq,axiom,
% 0.19/0.45 ! [A: produc696645085lle_fm,P3: produc696645085lle_fm > $o] :
% 0.19/0.45 ( ( member1474794996lle_fm @ A @ ( collec835549234lle_fm @ P3 ) )
% 0.19/0.45 = ( P3 @ A ) ) ).
% 0.19/0.45
% 0.19/0.45 % mem_Collect_eq
% 0.19/0.45 thf(fact_40_mem__Collect__eq,axiom,
% 0.19/0.45 ! [A: produc1852595672lle_tv,P3: produc1852595672lle_tv > $o] :
% 0.19/0.45 ( ( member146333935lle_tv @ A @ ( collec1102043437lle_tv @ P3 ) )
% 0.19/0.45 = ( P3 @ A ) ) ).
% 0.19/0.45
% 0.19/0.45 % mem_Collect_eq
% 0.19/0.45 thf(fact_41_mem__Collect__eq,axiom,
% 0.19/0.45 ! [A: list_char > paraco1605129243lle_tv,P3: ( list_char > paraco1605129243lle_tv ) > $o] :
% 0.19/0.45 ( ( member894927066lle_tv @ A @ ( collec1351702300lle_tv @ P3 ) )
% 0.19/0.45 = ( P3 @ A ) ) ).
% 0.19/0.45
% 0.19/0.45 % mem_Collect_eq
% 0.19/0.45 thf(fact_42_mem__Collect__eq,axiom,
% 0.19/0.45 ! [A: produc484385668lle_tv,P3: produc484385668lle_tv > $o] :
% 0.19/0.45 ( ( member1074212123lle_tv @ A @ ( collec1900284505lle_tv @ P3 ) )
% 0.19/0.45 = ( P3 @ A ) ) ).
% 0.19/0.45
% 0.19/0.45 % mem_Collect_eq
% 0.19/0.45 thf(fact_43_mem__Collect__eq,axiom,
% 0.19/0.45 ! [A: produc1647334210lle_tv,P3: produc1647334210lle_tv > $o] :
% 0.19/0.45 ( ( member1531318361lle_tv @ A @ ( collec15260823lle_tv @ P3 ) )
% 0.19/0.45 = ( P3 @ A ) ) ).
% 0.19/0.45
% 0.19/0.45 % mem_Collect_eq
% 0.19/0.45 thf(fact_44_mem__Collect__eq,axiom,
% 0.19/0.45 ! [A: paraco1605129243lle_tv,P3: paraco1605129243lle_tv > $o] :
% 0.19/0.45 ( ( member266900804lle_tv @ A @ ( collec1111687558lle_tv @ P3 ) )
% 0.19/0.45 = ( P3 @ A ) ) ).
% 0.19/0.45
% 0.19/0.45 % mem_Collect_eq
% 0.19/0.45 thf(fact_45_Collect__mem__eq,axiom,
% 0.19/0.45 ! [A2: set_Pr1475944804lle_fm] :
% 0.19/0.45 ( ( collec1363950211lle_fm
% 0.19/0.45 @ ^ [X5: produc1250255278lle_fm] : ( member1592865093lle_fm @ X5 @ A2 ) )
% 0.19/0.45 = A2 ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_mem_eq
% 0.19/0.45 thf(fact_46_Collect__mem__eq,axiom,
% 0.19/0.45 ! [A2: set_Pr2120184979lle_fm] :
% 0.19/0.45 ( ( collec835549234lle_fm
% 0.19/0.45 @ ^ [X5: produc696645085lle_fm] : ( member1474794996lle_fm @ X5 @ A2 ) )
% 0.19/0.45 = A2 ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_mem_eq
% 0.19/0.45 thf(fact_47_Collect__mem__eq,axiom,
% 0.19/0.45 ! [A2: set_Pr2061825550lle_tv] :
% 0.19/0.45 ( ( collec1102043437lle_tv
% 0.19/0.45 @ ^ [X5: produc1852595672lle_tv] : ( member146333935lle_tv @ X5 @ A2 ) )
% 0.19/0.45 = A2 ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_mem_eq
% 0.19/0.45 thf(fact_48_Collect__mem__eq,axiom,
% 0.19/0.45 ! [A2: set_li72793489lle_tv] :
% 0.19/0.45 ( ( collec1351702300lle_tv
% 0.19/0.45 @ ^ [X5: list_char > paraco1605129243lle_tv] : ( member894927066lle_tv @ X5 @ A2 ) )
% 0.19/0.45 = A2 ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_mem_eq
% 0.19/0.45 thf(fact_49_Collect__mem__eq,axiom,
% 0.19/0.45 ! [A2: set_Pr2012908090lle_tv] :
% 0.19/0.45 ( ( collec1900284505lle_tv
% 0.19/0.45 @ ^ [X5: produc484385668lle_tv] : ( member1074212123lle_tv @ X5 @ A2 ) )
% 0.19/0.45 = A2 ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_mem_eq
% 0.19/0.45 thf(fact_50_Collect__mem__eq,axiom,
% 0.19/0.45 ! [A2: set_Pr2014382200lle_tv] :
% 0.19/0.45 ( ( collec15260823lle_tv
% 0.19/0.45 @ ^ [X5: produc1647334210lle_tv] : ( member1531318361lle_tv @ X5 @ A2 ) )
% 0.19/0.45 = A2 ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_mem_eq
% 0.19/0.45 thf(fact_51_Collect__mem__eq,axiom,
% 0.19/0.45 ! [A2: set_Pa1764573435lle_tv] :
% 0.19/0.45 ( ( collec1111687558lle_tv
% 0.19/0.45 @ ^ [X5: paraco1605129243lle_tv] : ( member266900804lle_tv @ X5 @ A2 ) )
% 0.19/0.45 = A2 ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_mem_eq
% 0.19/0.45 thf(fact_52_Collect__cong,axiom,
% 0.19/0.45 ! [P3: produc484385668lle_tv > $o,Q3: produc484385668lle_tv > $o] :
% 0.19/0.45 ( ! [X: produc484385668lle_tv] :
% 0.19/0.45 ( ( P3 @ X )
% 0.19/0.45 = ( Q3 @ X ) )
% 0.19/0.45 => ( ( collec1900284505lle_tv @ P3 )
% 0.19/0.45 = ( collec1900284505lle_tv @ Q3 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_cong
% 0.19/0.45 thf(fact_53_Collect__cong,axiom,
% 0.19/0.45 ! [P3: produc1647334210lle_tv > $o,Q3: produc1647334210lle_tv > $o] :
% 0.19/0.45 ( ! [X: produc1647334210lle_tv] :
% 0.19/0.45 ( ( P3 @ X )
% 0.19/0.45 = ( Q3 @ X ) )
% 0.19/0.45 => ( ( collec15260823lle_tv @ P3 )
% 0.19/0.45 = ( collec15260823lle_tv @ Q3 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_cong
% 0.19/0.45 thf(fact_54_Collect__cong,axiom,
% 0.19/0.45 ! [P3: paraco1605129243lle_tv > $o,Q3: paraco1605129243lle_tv > $o] :
% 0.19/0.45 ( ! [X: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( P3 @ X )
% 0.19/0.45 = ( Q3 @ X ) )
% 0.19/0.45 => ( ( collec1111687558lle_tv @ P3 )
% 0.19/0.45 = ( collec1111687558lle_tv @ Q3 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Collect_cong
% 0.19/0.45 thf(fact_55_fm_Oinject_I5_J,axiom,
% 0.19/0.45 ! [X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm,Y61: paraco1604210848lle_fm,Y62: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( paraco1745535428le_Eql @ X612 @ X622 )
% 0.19/0.45 = ( paraco1745535428le_Eql @ Y61 @ Y62 ) )
% 0.19/0.45 = ( ( X612 = Y61 )
% 0.19/0.45 & ( X622 = Y62 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.inject(5)
% 0.19/0.45 thf(fact_56_fm_Odistinct_I23_J,axiom,
% 0.19/0.45 ! [X3: paraco1604210848lle_fm,X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco445776468le_Neg @ X3 )
% 0.19/0.45 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(23)
% 0.19/0.45 thf(fact_57_fm_Odistinct_I29_J,axiom,
% 0.19/0.45 ! [X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm,X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco1389086619le_Eql @ X51 @ X52 )
% 0.19/0.45 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(29)
% 0.19/0.45 thf(fact_58_fm_Odistinct_I9_J,axiom,
% 0.19/0.45 ! [X1: list_char,X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco1480028776le_Pro @ X1 )
% 0.19/0.45 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(9)
% 0.19/0.45 thf(fact_59_fm_Odistinct_I27_J,axiom,
% 0.19/0.45 ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( paraco69239110le_Con @ X41 @ X42 )
% 0.19/0.45 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 0.19/0.45
% 0.19/0.45 % fm.distinct(27)
% 0.19/0.45 thf(fact_60_old_Oprod_Oinject,axiom,
% 0.19/0.45 ! [A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv,A3: paraco1604210848lle_fm,B2: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( ( produc1943344577lle_tv @ A @ B )
% 0.19/0.45 = ( produc1943344577lle_tv @ A3 @ B2 ) )
% 0.19/0.45 = ( ( A = A3 )
% 0.19/0.45 & ( B = B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inject
% 0.19/0.45 thf(fact_61_old_Oprod_Oinject,axiom,
% 0.19/0.45 ! [A: produc1647334210lle_tv,B: produc1647334210lle_tv,A3: produc1647334210lle_tv,B2: produc1647334210lle_tv] :
% 0.19/0.45 ( ( ( produc1537086518lle_tv @ A @ B )
% 0.19/0.45 = ( produc1537086518lle_tv @ A3 @ B2 ) )
% 0.19/0.45 = ( ( A = A3 )
% 0.19/0.45 & ( B = B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inject
% 0.19/0.45 thf(fact_62_old_Oprod_Oinject,axiom,
% 0.19/0.45 ! [A: paraco1604210848lle_fm,B: paraco1604210848lle_fm,A3: paraco1604210848lle_fm,B2: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( produc1126104134lle_fm @ A @ B )
% 0.19/0.45 = ( produc1126104134lle_fm @ A3 @ B2 ) )
% 0.19/0.45 = ( ( A = A3 )
% 0.19/0.45 & ( B = B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inject
% 0.19/0.45 thf(fact_63_old_Oprod_Oinject,axiom,
% 0.19/0.45 ! [A: produc696645085lle_fm,B: produc696645085lle_fm,A3: produc696645085lle_fm,B2: produc696645085lle_fm] :
% 0.19/0.45 ( ( ( produc407632608lle_fm @ A @ B )
% 0.19/0.45 = ( produc407632608lle_fm @ A3 @ B2 ) )
% 0.19/0.45 = ( ( A = A3 )
% 0.19/0.45 & ( B = B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inject
% 0.19/0.45 thf(fact_64_old_Oprod_Oinject,axiom,
% 0.19/0.45 ! [A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv,A3: list_char > paraco1605129243lle_tv,B2: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( ( produc1297923922lle_tv @ A @ B )
% 0.19/0.45 = ( produc1297923922lle_tv @ A3 @ B2 ) )
% 0.19/0.45 = ( ( A = A3 )
% 0.19/0.45 & ( B = B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inject
% 0.19/0.45 thf(fact_65_old_Oprod_Oinject,axiom,
% 0.19/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A3: list_char > paraco1605129243lle_tv,B2: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( produc1710735575lle_fm @ A @ B )
% 0.19/0.45 = ( produc1710735575lle_fm @ A3 @ B2 ) )
% 0.19/0.45 = ( ( A = A3 )
% 0.19/0.45 & ( B = B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inject
% 0.19/0.45 thf(fact_66_old_Oprod_Oinject,axiom,
% 0.19/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A3: paraco1605129243lle_tv,B2: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( ( produc2058540732lle_tv @ A @ B )
% 0.19/0.45 = ( produc2058540732lle_tv @ A3 @ B2 ) )
% 0.19/0.45 = ( ( A = A3 )
% 0.19/0.45 & ( B = B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inject
% 0.19/0.45 thf(fact_67_prod_Oinject,axiom,
% 0.19/0.45 ! [X1: paraco1604210848lle_fm,X2: list_char > paraco1605129243lle_tv,Y1: paraco1604210848lle_fm,Y2: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( ( produc1943344577lle_tv @ X1 @ X2 )
% 0.19/0.45 = ( produc1943344577lle_tv @ Y1 @ Y2 ) )
% 0.19/0.45 = ( ( X1 = Y1 )
% 0.19/0.45 & ( X2 = Y2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod.inject
% 0.19/0.45 thf(fact_68_prod_Oinject,axiom,
% 0.19/0.45 ! [X1: produc1647334210lle_tv,X2: produc1647334210lle_tv,Y1: produc1647334210lle_tv,Y2: produc1647334210lle_tv] :
% 0.19/0.45 ( ( ( produc1537086518lle_tv @ X1 @ X2 )
% 0.19/0.45 = ( produc1537086518lle_tv @ Y1 @ Y2 ) )
% 0.19/0.45 = ( ( X1 = Y1 )
% 0.19/0.45 & ( X2 = Y2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod.inject
% 0.19/0.45 thf(fact_69_prod_Oinject,axiom,
% 0.19/0.45 ! [X1: paraco1604210848lle_fm,X2: paraco1604210848lle_fm,Y1: paraco1604210848lle_fm,Y2: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( produc1126104134lle_fm @ X1 @ X2 )
% 0.19/0.45 = ( produc1126104134lle_fm @ Y1 @ Y2 ) )
% 0.19/0.45 = ( ( X1 = Y1 )
% 0.19/0.45 & ( X2 = Y2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod.inject
% 0.19/0.45 thf(fact_70_prod_Oinject,axiom,
% 0.19/0.45 ! [X1: produc696645085lle_fm,X2: produc696645085lle_fm,Y1: produc696645085lle_fm,Y2: produc696645085lle_fm] :
% 0.19/0.45 ( ( ( produc407632608lle_fm @ X1 @ X2 )
% 0.19/0.45 = ( produc407632608lle_fm @ Y1 @ Y2 ) )
% 0.19/0.45 = ( ( X1 = Y1 )
% 0.19/0.45 & ( X2 = Y2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod.inject
% 0.19/0.45 thf(fact_71_prod_Oinject,axiom,
% 0.19/0.45 ! [X1: list_char > paraco1605129243lle_tv,X2: list_char > paraco1605129243lle_tv,Y1: list_char > paraco1605129243lle_tv,Y2: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( ( produc1297923922lle_tv @ X1 @ X2 )
% 0.19/0.45 = ( produc1297923922lle_tv @ Y1 @ Y2 ) )
% 0.19/0.45 = ( ( X1 = Y1 )
% 0.19/0.45 & ( X2 = Y2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod.inject
% 0.19/0.45 thf(fact_72_prod_Oinject,axiom,
% 0.19/0.45 ! [X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm,Y1: list_char > paraco1605129243lle_tv,Y2: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( produc1710735575lle_fm @ X1 @ X2 )
% 0.19/0.45 = ( produc1710735575lle_fm @ Y1 @ Y2 ) )
% 0.19/0.45 = ( ( X1 = Y1 )
% 0.19/0.45 & ( X2 = Y2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod.inject
% 0.19/0.45 thf(fact_73_prod_Oinject,axiom,
% 0.19/0.45 ! [X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv,Y1: paraco1605129243lle_tv,Y2: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( ( produc2058540732lle_tv @ X1 @ X2 )
% 0.19/0.45 = ( produc2058540732lle_tv @ Y1 @ Y2 ) )
% 0.19/0.45 = ( ( X1 = Y1 )
% 0.19/0.45 & ( X2 = Y2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod.inject
% 0.19/0.45 thf(fact_74_bool_Osplit__sel__asm,axiom,
% 0.19/0.45 ! [P3: paraco1605129243lle_tv > $o,F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv,Bool: $o] :
% 0.19/0.45 ( ( P3 @ ( produc234482697lle_tv @ F1 @ F2 @ Bool ) )
% 0.19/0.45 = ( ~ ( ( Bool
% 0.19/0.45 & ~ ( P3 @ F1 ) )
% 0.19/0.45 | ( ~ Bool
% 0.19/0.45 & ~ ( P3 @ F2 ) ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % bool.split_sel_asm
% 0.19/0.45 thf(fact_75_bool_Ocase__distrib,axiom,
% 0.19/0.45 ! [H: paraco1605129243lle_tv > paraco1605129243lle_tv,F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv,Bool: $o] :
% 0.19/0.45 ( ( H @ ( produc234482697lle_tv @ F1 @ F2 @ Bool ) )
% 0.19/0.45 = ( produc234482697lle_tv @ ( H @ F1 ) @ ( H @ F2 ) @ Bool ) ) ).
% 0.19/0.45
% 0.19/0.45 % bool.case_distrib
% 0.19/0.45 thf(fact_76_bool_Ocase__eq__if,axiom,
% 0.19/0.45 ( produc234482697lle_tv
% 0.19/0.45 = ( ^ [F12: paraco1605129243lle_tv,F22: paraco1605129243lle_tv,Bool2: $o] : ( if_Par1134130401lle_tv @ Bool2 @ F12 @ F22 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % bool.case_eq_if
% 0.19/0.45 thf(fact_77_bool_Osplit__sel,axiom,
% 0.19/0.45 ! [P3: paraco1605129243lle_tv > $o,F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv,Bool: $o] :
% 0.19/0.45 ( ( P3 @ ( produc234482697lle_tv @ F1 @ F2 @ Bool ) )
% 0.19/0.45 = ( ( Bool
% 0.19/0.45 => ( P3 @ F1 ) )
% 0.19/0.45 & ( ~ Bool
% 0.19/0.45 => ( P3 @ F2 ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % bool.split_sel
% 0.19/0.45 thf(fact_78_old_Obool_Osimps_I3_J,axiom,
% 0.19/0.45 ! [F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc234482697lle_tv @ F1 @ F2 @ $true )
% 0.19/0.45 = F1 ) ).
% 0.19/0.45
% 0.19/0.45 % old.bool.simps(3)
% 0.19/0.45 thf(fact_79_old_Obool_Osimps_I4_J,axiom,
% 0.19/0.45 ! [F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc234482697lle_tv @ F1 @ F2 @ $false )
% 0.19/0.45 = F2 ) ).
% 0.19/0.45
% 0.19/0.45 % old.bool.simps(4)
% 0.19/0.45 thf(fact_80_surj__pair,axiom,
% 0.19/0.45 ! [P2: produc1443694919lle_tv] :
% 0.19/0.45 ? [X: paraco1604210848lle_fm,Y4: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( P2
% 0.19/0.45 = ( produc1943344577lle_tv @ X @ Y4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % surj_pair
% 0.19/0.45 thf(fact_81_surj__pair,axiom,
% 0.19/0.45 ! [P2: produc484385668lle_tv] :
% 0.19/0.45 ? [X: produc1647334210lle_tv,Y4: produc1647334210lle_tv] :
% 0.19/0.45 ( P2
% 0.19/0.45 = ( produc1537086518lle_tv @ X @ Y4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % surj_pair
% 0.19/0.45 thf(fact_82_surj__pair,axiom,
% 0.19/0.45 ! [P2: produc450659916lle_fm] :
% 0.19/0.45 ? [X: paraco1604210848lle_fm,Y4: paraco1604210848lle_fm] :
% 0.19/0.45 ( P2
% 0.19/0.45 = ( produc1126104134lle_fm @ X @ Y4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % surj_pair
% 0.19/0.45 thf(fact_83_surj__pair,axiom,
% 0.19/0.45 ! [P2: produc1250255278lle_fm] :
% 0.19/0.45 ? [X: produc696645085lle_fm,Y4: produc696645085lle_fm] :
% 0.19/0.45 ( P2
% 0.19/0.45 = ( produc407632608lle_fm @ X @ Y4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % surj_pair
% 0.19/0.45 thf(fact_84_surj__pair,axiom,
% 0.19/0.45 ! [P2: produc1852595672lle_tv] :
% 0.19/0.45 ? [X: list_char > paraco1605129243lle_tv,Y4: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( P2
% 0.19/0.45 = ( produc1297923922lle_tv @ X @ Y4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % surj_pair
% 0.19/0.45 thf(fact_85_surj__pair,axiom,
% 0.19/0.45 ! [P2: produc696645085lle_fm] :
% 0.19/0.45 ? [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.19/0.45 ( P2
% 0.19/0.45 = ( produc1710735575lle_fm @ X @ Y4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % surj_pair
% 0.19/0.45 thf(fact_86_surj__pair,axiom,
% 0.19/0.45 ! [P2: produc1647334210lle_tv] :
% 0.19/0.45 ? [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.19/0.45 ( P2
% 0.19/0.45 = ( produc2058540732lle_tv @ X @ Y4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % surj_pair
% 0.19/0.45 thf(fact_87_prod__cases,axiom,
% 0.19/0.45 ! [P3: produc1443694919lle_tv > $o,P2: produc1443694919lle_tv] :
% 0.19/0.45 ( ! [A4: paraco1604210848lle_fm,B3: list_char > paraco1605129243lle_tv] : ( P3 @ ( produc1943344577lle_tv @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_cases
% 0.19/0.45 thf(fact_88_prod__cases,axiom,
% 0.19/0.45 ! [P3: produc484385668lle_tv > $o,P2: produc484385668lle_tv] :
% 0.19/0.45 ( ! [A4: produc1647334210lle_tv,B3: produc1647334210lle_tv] : ( P3 @ ( produc1537086518lle_tv @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_cases
% 0.19/0.45 thf(fact_89_prod__cases,axiom,
% 0.19/0.45 ! [P3: produc450659916lle_fm > $o,P2: produc450659916lle_fm] :
% 0.19/0.45 ( ! [A4: paraco1604210848lle_fm,B3: paraco1604210848lle_fm] : ( P3 @ ( produc1126104134lle_fm @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_cases
% 0.19/0.45 thf(fact_90_prod__cases,axiom,
% 0.19/0.45 ! [P3: produc1250255278lle_fm > $o,P2: produc1250255278lle_fm] :
% 0.19/0.45 ( ! [A4: produc696645085lle_fm,B3: produc696645085lle_fm] : ( P3 @ ( produc407632608lle_fm @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_cases
% 0.19/0.45 thf(fact_91_prod__cases,axiom,
% 0.19/0.45 ! [P3: produc1852595672lle_tv > $o,P2: produc1852595672lle_tv] :
% 0.19/0.45 ( ! [A4: list_char > paraco1605129243lle_tv,B3: list_char > paraco1605129243lle_tv] : ( P3 @ ( produc1297923922lle_tv @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_cases
% 0.19/0.45 thf(fact_92_prod__cases,axiom,
% 0.19/0.45 ! [P3: produc696645085lle_fm > $o,P2: produc696645085lle_fm] :
% 0.19/0.45 ( ! [A4: list_char > paraco1605129243lle_tv,B3: paraco1604210848lle_fm] : ( P3 @ ( produc1710735575lle_fm @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_cases
% 0.19/0.45 thf(fact_93_prod__cases,axiom,
% 0.19/0.45 ! [P3: produc1647334210lle_tv > $o,P2: produc1647334210lle_tv] :
% 0.19/0.45 ( ! [A4: paraco1605129243lle_tv,B3: paraco1605129243lle_tv] : ( P3 @ ( produc2058540732lle_tv @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_cases
% 0.19/0.45 thf(fact_94_Pair__inject,axiom,
% 0.19/0.45 ! [A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv,A3: paraco1604210848lle_fm,B2: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( ( produc1943344577lle_tv @ A @ B )
% 0.19/0.45 = ( produc1943344577lle_tv @ A3 @ B2 ) )
% 0.19/0.45 => ~ ( ( A = A3 )
% 0.19/0.45 => ( B != B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Pair_inject
% 0.19/0.45 thf(fact_95_Pair__inject,axiom,
% 0.19/0.45 ! [A: produc1647334210lle_tv,B: produc1647334210lle_tv,A3: produc1647334210lle_tv,B2: produc1647334210lle_tv] :
% 0.19/0.45 ( ( ( produc1537086518lle_tv @ A @ B )
% 0.19/0.45 = ( produc1537086518lle_tv @ A3 @ B2 ) )
% 0.19/0.45 => ~ ( ( A = A3 )
% 0.19/0.45 => ( B != B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Pair_inject
% 0.19/0.45 thf(fact_96_Pair__inject,axiom,
% 0.19/0.45 ! [A: paraco1604210848lle_fm,B: paraco1604210848lle_fm,A3: paraco1604210848lle_fm,B2: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( produc1126104134lle_fm @ A @ B )
% 0.19/0.45 = ( produc1126104134lle_fm @ A3 @ B2 ) )
% 0.19/0.45 => ~ ( ( A = A3 )
% 0.19/0.45 => ( B != B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Pair_inject
% 0.19/0.45 thf(fact_97_Pair__inject,axiom,
% 0.19/0.45 ! [A: produc696645085lle_fm,B: produc696645085lle_fm,A3: produc696645085lle_fm,B2: produc696645085lle_fm] :
% 0.19/0.45 ( ( ( produc407632608lle_fm @ A @ B )
% 0.19/0.45 = ( produc407632608lle_fm @ A3 @ B2 ) )
% 0.19/0.45 => ~ ( ( A = A3 )
% 0.19/0.45 => ( B != B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Pair_inject
% 0.19/0.45 thf(fact_98_Pair__inject,axiom,
% 0.19/0.45 ! [A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv,A3: list_char > paraco1605129243lle_tv,B2: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( ( produc1297923922lle_tv @ A @ B )
% 0.19/0.45 = ( produc1297923922lle_tv @ A3 @ B2 ) )
% 0.19/0.45 => ~ ( ( A = A3 )
% 0.19/0.45 => ( B != B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Pair_inject
% 0.19/0.45 thf(fact_99_Pair__inject,axiom,
% 0.19/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A3: list_char > paraco1605129243lle_tv,B2: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( produc1710735575lle_fm @ A @ B )
% 0.19/0.45 = ( produc1710735575lle_fm @ A3 @ B2 ) )
% 0.19/0.45 => ~ ( ( A = A3 )
% 0.19/0.45 => ( B != B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Pair_inject
% 0.19/0.45 thf(fact_100_Pair__inject,axiom,
% 0.19/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A3: paraco1605129243lle_tv,B2: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( ( produc2058540732lle_tv @ A @ B )
% 0.19/0.45 = ( produc2058540732lle_tv @ A3 @ B2 ) )
% 0.19/0.45 => ~ ( ( A = A3 )
% 0.19/0.45 => ( B != B2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % Pair_inject
% 0.19/0.45 thf(fact_101_prod__cases3,axiom,
% 0.19/0.45 ! [Y: produc484385668lle_tv] :
% 0.19/0.45 ~ ! [A4: produc1647334210lle_tv,B3: paraco1605129243lle_tv,C: paraco1605129243lle_tv] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( produc1537086518lle_tv @ A4 @ ( produc2058540732lle_tv @ B3 @ C ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_cases3
% 0.19/0.45 thf(fact_102_prod__cases3,axiom,
% 0.19/0.45 ! [Y: produc1250255278lle_fm] :
% 0.19/0.45 ~ ! [A4: produc696645085lle_fm,B3: list_char > paraco1605129243lle_tv,C: paraco1604210848lle_fm] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( produc407632608lle_fm @ A4 @ ( produc1710735575lle_fm @ B3 @ C ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_cases3
% 0.19/0.45 thf(fact_103_prod__induct3,axiom,
% 0.19/0.45 ! [P3: produc484385668lle_tv > $o,X4: produc484385668lle_tv] :
% 0.19/0.45 ( ! [A4: produc1647334210lle_tv,B3: paraco1605129243lle_tv,C: paraco1605129243lle_tv] : ( P3 @ ( produc1537086518lle_tv @ A4 @ ( produc2058540732lle_tv @ B3 @ C ) ) )
% 0.19/0.45 => ( P3 @ X4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_induct3
% 0.19/0.45 thf(fact_104_prod__induct3,axiom,
% 0.19/0.45 ! [P3: produc1250255278lle_fm > $o,X4: produc1250255278lle_fm] :
% 0.19/0.45 ( ! [A4: produc696645085lle_fm,B3: list_char > paraco1605129243lle_tv,C: paraco1604210848lle_fm] : ( P3 @ ( produc407632608lle_fm @ A4 @ ( produc1710735575lle_fm @ B3 @ C ) ) )
% 0.19/0.45 => ( P3 @ X4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % prod_induct3
% 0.19/0.45 thf(fact_105_old_Oprod_Oexhaust,axiom,
% 0.19/0.45 ! [Y: produc1443694919lle_tv] :
% 0.19/0.45 ~ ! [A4: paraco1604210848lle_fm,B3: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( produc1943344577lle_tv @ A4 @ B3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.exhaust
% 0.19/0.45 thf(fact_106_old_Oprod_Oexhaust,axiom,
% 0.19/0.45 ! [Y: produc484385668lle_tv] :
% 0.19/0.45 ~ ! [A4: produc1647334210lle_tv,B3: produc1647334210lle_tv] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( produc1537086518lle_tv @ A4 @ B3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.exhaust
% 0.19/0.45 thf(fact_107_old_Oprod_Oexhaust,axiom,
% 0.19/0.45 ! [Y: produc450659916lle_fm] :
% 0.19/0.45 ~ ! [A4: paraco1604210848lle_fm,B3: paraco1604210848lle_fm] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( produc1126104134lle_fm @ A4 @ B3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.exhaust
% 0.19/0.45 thf(fact_108_old_Oprod_Oexhaust,axiom,
% 0.19/0.45 ! [Y: produc1250255278lle_fm] :
% 0.19/0.45 ~ ! [A4: produc696645085lle_fm,B3: produc696645085lle_fm] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( produc407632608lle_fm @ A4 @ B3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.exhaust
% 0.19/0.45 thf(fact_109_old_Oprod_Oexhaust,axiom,
% 0.19/0.45 ! [Y: produc1852595672lle_tv] :
% 0.19/0.45 ~ ! [A4: list_char > paraco1605129243lle_tv,B3: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( produc1297923922lle_tv @ A4 @ B3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.exhaust
% 0.19/0.45 thf(fact_110_old_Oprod_Oexhaust,axiom,
% 0.19/0.45 ! [Y: produc696645085lle_fm] :
% 0.19/0.45 ~ ! [A4: list_char > paraco1605129243lle_tv,B3: paraco1604210848lle_fm] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( produc1710735575lle_fm @ A4 @ B3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.exhaust
% 0.19/0.45 thf(fact_111_old_Oprod_Oexhaust,axiom,
% 0.19/0.45 ! [Y: produc1647334210lle_tv] :
% 0.19/0.45 ~ ! [A4: paraco1605129243lle_tv,B3: paraco1605129243lle_tv] :
% 0.19/0.45 ( Y
% 0.19/0.45 != ( produc2058540732lle_tv @ A4 @ B3 ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.exhaust
% 0.19/0.45 thf(fact_112_old_Oprod_Oinducts,axiom,
% 0.19/0.45 ! [P3: produc1443694919lle_tv > $o,Prod: produc1443694919lle_tv] :
% 0.19/0.45 ( ! [A4: paraco1604210848lle_fm,B3: list_char > paraco1605129243lle_tv] : ( P3 @ ( produc1943344577lle_tv @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ Prod ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inducts
% 0.19/0.45 thf(fact_113_old_Oprod_Oinducts,axiom,
% 0.19/0.45 ! [P3: produc484385668lle_tv > $o,Prod: produc484385668lle_tv] :
% 0.19/0.45 ( ! [A4: produc1647334210lle_tv,B3: produc1647334210lle_tv] : ( P3 @ ( produc1537086518lle_tv @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ Prod ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inducts
% 0.19/0.45 thf(fact_114_old_Oprod_Oinducts,axiom,
% 0.19/0.45 ! [P3: produc450659916lle_fm > $o,Prod: produc450659916lle_fm] :
% 0.19/0.45 ( ! [A4: paraco1604210848lle_fm,B3: paraco1604210848lle_fm] : ( P3 @ ( produc1126104134lle_fm @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ Prod ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inducts
% 0.19/0.45 thf(fact_115_old_Oprod_Oinducts,axiom,
% 0.19/0.45 ! [P3: produc1250255278lle_fm > $o,Prod: produc1250255278lle_fm] :
% 0.19/0.45 ( ! [A4: produc696645085lle_fm,B3: produc696645085lle_fm] : ( P3 @ ( produc407632608lle_fm @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ Prod ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inducts
% 0.19/0.45 thf(fact_116_old_Oprod_Oinducts,axiom,
% 0.19/0.45 ! [P3: produc1852595672lle_tv > $o,Prod: produc1852595672lle_tv] :
% 0.19/0.45 ( ! [A4: list_char > paraco1605129243lle_tv,B3: list_char > paraco1605129243lle_tv] : ( P3 @ ( produc1297923922lle_tv @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ Prod ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inducts
% 0.19/0.45 thf(fact_117_old_Oprod_Oinducts,axiom,
% 0.19/0.45 ! [P3: produc696645085lle_fm > $o,Prod: produc696645085lle_fm] :
% 0.19/0.45 ( ! [A4: list_char > paraco1605129243lle_tv,B3: paraco1604210848lle_fm] : ( P3 @ ( produc1710735575lle_fm @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ Prod ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inducts
% 0.19/0.45 thf(fact_118_old_Oprod_Oinducts,axiom,
% 0.19/0.45 ! [P3: produc1647334210lle_tv > $o,Prod: produc1647334210lle_tv] :
% 0.19/0.45 ( ! [A4: paraco1605129243lle_tv,B3: paraco1605129243lle_tv] : ( P3 @ ( produc2058540732lle_tv @ A4 @ B3 ) )
% 0.19/0.45 => ( P3 @ Prod ) ) ).
% 0.19/0.45
% 0.19/0.45 % old.prod.inducts
% 0.19/0.45 thf(fact_119_internal__case__prod__conv,axiom,
% 0.19/0.45 ! [C2: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc192124683lle_tv @ C2 @ ( produc2058540732lle_tv @ A @ B ) )
% 0.19/0.45 = ( C2 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % internal_case_prod_conv
% 0.19/0.45 thf(fact_120_ssubst__Pair__rhs,axiom,
% 0.19/0.45 ! [R: paraco1604210848lle_fm,S: list_char > paraco1605129243lle_tv,R2: set_Pr1723822845lle_tv,S3: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( member74361182lle_tv @ ( produc1943344577lle_tv @ R @ S ) @ R2 )
% 0.19/0.45 => ( ( S3 = S )
% 0.19/0.45 => ( member74361182lle_tv @ ( produc1943344577lle_tv @ R @ S3 ) @ R2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % ssubst_Pair_rhs
% 0.19/0.45 thf(fact_121_ssubst__Pair__rhs,axiom,
% 0.19/0.45 ! [R: produc1647334210lle_tv,S: produc1647334210lle_tv,R2: set_Pr2012908090lle_tv,S3: produc1647334210lle_tv] :
% 0.19/0.45 ( ( member1074212123lle_tv @ ( produc1537086518lle_tv @ R @ S ) @ R2 )
% 0.19/0.45 => ( ( S3 = S )
% 0.19/0.45 => ( member1074212123lle_tv @ ( produc1537086518lle_tv @ R @ S3 ) @ R2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % ssubst_Pair_rhs
% 0.19/0.45 thf(fact_122_ssubst__Pair__rhs,axiom,
% 0.19/0.45 ! [R: paraco1604210848lle_fm,S: paraco1604210848lle_fm,R2: set_Pr1019238018lle_fm,S3: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( member334644067lle_fm @ ( produc1126104134lle_fm @ R @ S ) @ R2 )
% 0.19/0.45 => ( ( S3 = S )
% 0.19/0.45 => ( member334644067lle_fm @ ( produc1126104134lle_fm @ R @ S3 ) @ R2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % ssubst_Pair_rhs
% 0.19/0.45 thf(fact_123_ssubst__Pair__rhs,axiom,
% 0.19/0.45 ! [R: produc696645085lle_fm,S: produc696645085lle_fm,R2: set_Pr1475944804lle_fm,S3: produc696645085lle_fm] :
% 0.19/0.45 ( ( member1592865093lle_fm @ ( produc407632608lle_fm @ R @ S ) @ R2 )
% 0.19/0.45 => ( ( S3 = S )
% 0.19/0.45 => ( member1592865093lle_fm @ ( produc407632608lle_fm @ R @ S3 ) @ R2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % ssubst_Pair_rhs
% 0.19/0.45 thf(fact_124_ssubst__Pair__rhs,axiom,
% 0.19/0.45 ! [R: list_char > paraco1605129243lle_tv,S: list_char > paraco1605129243lle_tv,R2: set_Pr2061825550lle_tv,S3: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( member146333935lle_tv @ ( produc1297923922lle_tv @ R @ S ) @ R2 )
% 0.19/0.45 => ( ( S3 = S )
% 0.19/0.45 => ( member146333935lle_tv @ ( produc1297923922lle_tv @ R @ S3 ) @ R2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % ssubst_Pair_rhs
% 0.19/0.45 thf(fact_125_ssubst__Pair__rhs,axiom,
% 0.19/0.45 ! [R: list_char > paraco1605129243lle_tv,S: paraco1604210848lle_fm,R2: set_Pr2120184979lle_fm,S3: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ R @ S ) @ R2 )
% 0.19/0.45 => ( ( S3 = S )
% 0.19/0.45 => ( member1474794996lle_fm @ ( produc1710735575lle_fm @ R @ S3 ) @ R2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % ssubst_Pair_rhs
% 0.19/0.45 thf(fact_126_ssubst__Pair__rhs,axiom,
% 0.19/0.45 ! [R: paraco1605129243lle_tv,S: paraco1605129243lle_tv,R2: set_Pr2014382200lle_tv,S3: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ R @ S ) @ R2 )
% 0.19/0.45 => ( ( S3 = S )
% 0.19/0.45 => ( member1531318361lle_tv @ ( produc2058540732lle_tv @ R @ S3 ) @ R2 ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % ssubst_Pair_rhs
% 0.19/0.45 thf(fact_127_curry__conv,axiom,
% 0.19/0.45 ( produc621423502e_tv_o
% 0.19/0.45 = ( ^ [F: produc1647334210lle_tv > $o,A5: paraco1605129243lle_tv,B4: paraco1605129243lle_tv] : ( F @ ( produc2058540732lle_tv @ A5 @ B4 ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % curry_conv
% 0.19/0.45 thf(fact_128_curry__conv,axiom,
% 0.19/0.45 ( produc275353523e_fm_o
% 0.19/0.45 = ( ^ [F: produc696645085lle_fm > $o,A5: list_char > paraco1605129243lle_tv,B4: paraco1604210848lle_fm] : ( F @ ( produc1710735575lle_fm @ A5 @ B4 ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % curry_conv
% 0.19/0.45 thf(fact_129_curry__conv,axiom,
% 0.19/0.45 ( produc724036226lle_tv
% 0.19/0.45 = ( ^ [F: produc1647334210lle_tv > paraco1605129243lle_tv,A5: paraco1605129243lle_tv,B4: paraco1605129243lle_tv] : ( F @ ( produc2058540732lle_tv @ A5 @ B4 ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % curry_conv
% 0.19/0.45 thf(fact_130_curryI,axiom,
% 0.19/0.45 ! [F3: produc1443694919lle_tv > $o,A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( F3 @ ( produc1943344577lle_tv @ A @ B ) )
% 0.19/0.45 => ( produc298562633e_tv_o @ F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % curryI
% 0.19/0.45 thf(fact_131_curryI,axiom,
% 0.19/0.45 ! [F3: produc484385668lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 0.19/0.45 ( ( F3 @ ( produc1537086518lle_tv @ A @ B ) )
% 0.19/0.45 => ( produc1113543188e_tv_o @ F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % curryI
% 0.19/0.45 thf(fact_132_curryI,axiom,
% 0.19/0.45 ! [F3: produc450659916lle_fm > $o,A: paraco1604210848lle_fm,B: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( F3 @ ( produc1126104134lle_fm @ A @ B ) )
% 0.19/0.45 => ( produc1339594628e_fm_o @ F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % curryI
% 0.19/0.45 thf(fact_133_curryI,axiom,
% 0.19/0.45 ! [F3: produc1250255278lle_fm > $o,A: produc696645085lle_fm,B: produc696645085lle_fm] :
% 0.19/0.45 ( ( F3 @ ( produc407632608lle_fm @ A @ B ) )
% 0.19/0.45 => ( produc408556266e_fm_o @ F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % curryI
% 0.19/0.45 thf(fact_134_curryI,axiom,
% 0.19/0.45 ! [F3: produc1852595672lle_tv > $o,A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( F3 @ ( produc1297923922lle_tv @ A @ B ) )
% 0.19/0.45 => ( produc1667860344e_tv_o @ F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % curryI
% 0.19/0.45 thf(fact_135_curryI,axiom,
% 0.19/0.45 ! [F3: produc696645085lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( F3 @ ( produc1710735575lle_fm @ A @ B ) )
% 0.19/0.45 => ( produc275353523e_fm_o @ F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % curryI
% 0.19/0.45 thf(fact_136_curryI,axiom,
% 0.19/0.45 ! [F3: produc1647334210lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( F3 @ ( produc2058540732lle_tv @ A @ B ) )
% 0.19/0.45 => ( produc621423502e_tv_o @ F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % curryI
% 0.19/0.45 thf(fact_137_swap__simp,axiom,
% 0.19/0.45 ! [X4: produc1647334210lle_tv,Y: produc1647334210lle_tv] :
% 0.19/0.45 ( ( produc1733045910lle_tv @ ( produc1537086518lle_tv @ X4 @ Y ) )
% 0.19/0.45 = ( produc1537086518lle_tv @ Y @ X4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % swap_simp
% 0.19/0.45 thf(fact_138_swap__simp,axiom,
% 0.19/0.45 ! [X4: paraco1604210848lle_fm,Y: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( produc1426802342lle_fm @ ( produc1126104134lle_fm @ X4 @ Y ) )
% 0.19/0.45 = ( produc1126104134lle_fm @ Y @ X4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % swap_simp
% 0.19/0.45 thf(fact_139_swap__simp,axiom,
% 0.19/0.45 ! [X4: produc696645085lle_fm,Y: produc696645085lle_fm] :
% 0.19/0.45 ( ( produc116249920lle_fm @ ( produc407632608lle_fm @ X4 @ Y ) )
% 0.19/0.45 = ( produc407632608lle_fm @ Y @ X4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % swap_simp
% 0.19/0.45 thf(fact_140_swap__simp,axiom,
% 0.19/0.45 ! [X4: list_char > paraco1605129243lle_tv,Y: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc1176291762lle_tv @ ( produc1297923922lle_tv @ X4 @ Y ) )
% 0.19/0.45 = ( produc1297923922lle_tv @ Y @ X4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % swap_simp
% 0.19/0.45 thf(fact_141_swap__simp,axiom,
% 0.19/0.45 ! [X4: paraco1604210848lle_fm,Y: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc1232814113lle_tv @ ( produc1943344577lle_tv @ X4 @ Y ) )
% 0.19/0.45 = ( produc1710735575lle_fm @ Y @ X4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % swap_simp
% 0.19/0.45 thf(fact_142_swap__simp,axiom,
% 0.19/0.45 ! [X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( produc1000205111lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) )
% 0.19/0.45 = ( produc1943344577lle_tv @ Y @ X4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % swap_simp
% 0.19/0.45 thf(fact_143_swap__simp,axiom,
% 0.19/0.45 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc211755292lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) )
% 0.19/0.45 = ( produc2058540732lle_tv @ Y @ X4 ) ) ).
% 0.19/0.45
% 0.19/0.45 % swap_simp
% 0.19/0.45 thf(fact_144_eval_Osimps_I6_J,axiom,
% 0.19/0.45 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.45 = ( paraco1325918602e_eval @ I2 @ Q ) )
% 0.19/0.45 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 0.19/0.45 = ( paraco1344940915le_Det @ $true ) ) )
% 0.19/0.45 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 0.19/0.45 != ( paraco1325918602e_eval @ I2 @ Q ) )
% 0.19/0.45 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 0.19/0.45 = ( produc1882560353lle_tv
% 0.19/0.45 @ ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] :
% 0.19/0.45 ( paraco2051596139lle_tv
% 0.19/0.45 @ ( produc234482697lle_tv @ ( paraco1325918602e_eval @ I2 @ Q )
% 0.19/0.45 @ ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1325918602e_eval @ I2 @ P2 ) @ ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1344940915le_Det @ $false ) @ ( paraco1344940915le_Det @ $true ) ) @ paraco793048302_Indet @ ( paraco1325918602e_eval @ I2 @ Q ) ) )
% 0.19/0.45 @ ^ [Nat: nat] : ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1344940915le_Det @ $false ) @ ( paraco1344940915le_Det @ $true ) ) @ paraco793048302_Indet @ ( paraco1325918602e_eval @ I2 @ Q ) )
% 0.19/0.45 @ Y5 ) )
% 0.19/0.45 @ ^ [Nat: nat] :
% 0.19/0.45 ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1325918602e_eval @ I2 @ P2 ) @ ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1344940915le_Det @ $false ) @ ( paraco1344940915le_Det @ $true ) ) @ paraco793048302_Indet @ ( paraco1325918602e_eval @ I2 @ P2 ) ) )
% 0.19/0.45 @ ^ [Nata: nat] : ( paraco1344940915le_Det @ $false )
% 0.19/0.45 @ Y5 )
% 0.19/0.45 @ X5 )
% 0.19/0.45 @ ( produc2058540732lle_tv @ ( paraco1325918602e_eval @ I2 @ P2 ) @ ( paraco1325918602e_eval @ I2 @ Q ) ) ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 % eval.simps(6)
% 0.19/0.45 thf(fact_145_swap__swap,axiom,
% 0.19/0.45 ! [P2: produc1647334210lle_tv] :
% 0.19/0.45 ( ( produc211755292lle_tv @ ( produc211755292lle_tv @ P2 ) )
% 0.19/0.45 = P2 ) ).
% 0.19/0.45
% 0.19/0.45 % swap_swap
% 0.19/0.45 thf(fact_146_swap__swap,axiom,
% 0.19/0.45 ! [P2: produc1443694919lle_tv] :
% 0.19/0.45 ( ( produc1000205111lle_fm @ ( produc1232814113lle_tv @ P2 ) )
% 0.19/0.45 = P2 ) ).
% 0.19/0.45
% 0.19/0.45 % swap_swap
% 0.19/0.45 thf(fact_147_swap__swap,axiom,
% 0.19/0.45 ! [P2: produc696645085lle_fm] :
% 0.19/0.45 ( ( produc1232814113lle_tv @ ( produc1000205111lle_fm @ P2 ) )
% 0.19/0.45 = P2 ) ).
% 0.19/0.45
% 0.19/0.45 % swap_swap
% 0.19/0.45 thf(fact_148_case__prod__conv,axiom,
% 0.19/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc25129173e_tv_o @ F3 @ ( produc2058540732lle_tv @ A @ B ) )
% 0.19/0.45 = ( F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_conv
% 0.19/0.45 thf(fact_149_case__prod__conv,axiom,
% 0.19/0.45 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc811245928lle_fm @ F3 @ ( produc1943344577lle_tv @ A @ B ) )
% 0.19/0.45 = ( F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_conv
% 0.19/0.45 thf(fact_150_case__prod__conv,axiom,
% 0.19/0.45 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 0.19/0.45 ( ( produc648306805e_tv_o @ F3 @ ( produc1537086518lle_tv @ A @ B ) )
% 0.19/0.45 = ( F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_conv
% 0.19/0.45 thf(fact_151_case__prod__conv,axiom,
% 0.19/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( produc427355858lle_fm @ F3 @ ( produc1710735575lle_fm @ A @ B ) )
% 0.19/0.45 = ( F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_conv
% 0.19/0.45 thf(fact_152_case__prod__conv,axiom,
% 0.19/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 0.19/0.45 ( ( produc1221696404e_fm_o @ F3 @ ( produc1710735575lle_fm @ A @ B ) )
% 0.19/0.45 = ( F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_conv
% 0.19/0.45 thf(fact_153_case__prod__conv,axiom,
% 0.19/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc1882560353lle_tv @ F3 @ ( produc2058540732lle_tv @ A @ B ) )
% 0.19/0.45 = ( F3 @ A @ B ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_conv
% 0.19/0.45 thf(fact_154_case__prod__curry,axiom,
% 0.19/0.45 ! [F3: produc1647334210lle_tv > $o] :
% 0.19/0.45 ( ( produc852673135e_tv_o @ ( produc621423502e_tv_o @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_curry
% 0.19/0.45 thf(fact_155_case__prod__curry,axiom,
% 0.19/0.45 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 0.19/0.45 ( ( produc25129173e_tv_o @ ( produc2005494902e_tv_o @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_curry
% 0.19/0.45 thf(fact_156_case__prod__curry,axiom,
% 0.19/0.45 ! [F3: produc1443694919lle_tv > produc696645085lle_fm] :
% 0.19/0.45 ( ( produc811245928lle_fm @ ( produc635060359lle_fm @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_curry
% 0.19/0.45 thf(fact_157_case__prod__curry,axiom,
% 0.19/0.45 ! [F3: produc484385668lle_tv > $o] :
% 0.19/0.45 ( ( produc648306805e_tv_o @ ( produc1113543188e_tv_o @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_curry
% 0.19/0.45 thf(fact_158_case__prod__curry,axiom,
% 0.19/0.45 ! [F3: produc696645085lle_fm > produc696645085lle_fm] :
% 0.19/0.45 ( ( produc427355858lle_fm @ ( produc251170289lle_fm @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_curry
% 0.19/0.45 thf(fact_159_case__prod__curry,axiom,
% 0.19/0.45 ! [F3: produc696645085lle_fm > $o] :
% 0.19/0.45 ( ( produc1221696404e_fm_o @ ( produc275353523e_fm_o @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_curry
% 0.19/0.45 thf(fact_160_case__prod__curry,axiom,
% 0.19/0.45 ! [F3: produc1647334210lle_tv > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc1882560353lle_tv @ ( produc724036226lle_tv @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % case_prod_curry
% 0.19/0.45 thf(fact_161_curry__case__prod,axiom,
% 0.19/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o] :
% 0.19/0.45 ( ( produc621423502e_tv_o @ ( produc852673135e_tv_o @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % curry_case_prod
% 0.19/0.45 thf(fact_162_curry__case__prod,axiom,
% 0.19/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o] :
% 0.19/0.45 ( ( produc2005494902e_tv_o @ ( produc25129173e_tv_o @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % curry_case_prod
% 0.19/0.45 thf(fact_163_curry__case__prod,axiom,
% 0.19/0.45 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm] :
% 0.19/0.45 ( ( produc635060359lle_fm @ ( produc811245928lle_fm @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % curry_case_prod
% 0.19/0.45 thf(fact_164_curry__case__prod,axiom,
% 0.19/0.45 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 0.19/0.45 ( ( produc1113543188e_tv_o @ ( produc648306805e_tv_o @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % curry_case_prod
% 0.19/0.45 thf(fact_165_curry__case__prod,axiom,
% 0.19/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm] :
% 0.19/0.45 ( ( produc251170289lle_fm @ ( produc427355858lle_fm @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % curry_case_prod
% 0.19/0.45 thf(fact_166_curry__case__prod,axiom,
% 0.19/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o] :
% 0.19/0.45 ( ( produc275353523e_fm_o @ ( produc1221696404e_fm_o @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % curry_case_prod
% 0.19/0.45 thf(fact_167_curry__case__prod,axiom,
% 0.19/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( produc724036226lle_tv @ ( produc1882560353lle_tv @ F3 ) )
% 0.19/0.45 = F3 ) ).
% 0.19/0.45
% 0.19/0.45 % curry_case_prod
% 0.19/0.45 thf(fact_168_case__swap,axiom,
% 0.19/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,P2: produc696645085lle_fm] :
% 0.19/0.45 ( ( produc1244905514e_tv_o
% 0.19/0.45 @ ^ [Y5: paraco1604210848lle_fm,X5: list_char > paraco1605129243lle_tv] : ( F3 @ X5 @ Y5 )
% 0.19/0.45 @ ( produc1000205111lle_fm @ P2 ) )
% 0.19/0.45 = ( produc1221696404e_fm_o @ F3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_swap
% 0.19/0.45 thf(fact_169_case__swap,axiom,
% 0.19/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,P2: produc1647334210lle_tv] :
% 0.19/0.45 ( ( produc25129173e_tv_o
% 0.19/0.45 @ ^ [Y5: paraco1605129243lle_tv,X5: paraco1605129243lle_tv] : ( F3 @ X5 @ Y5 )
% 0.19/0.45 @ ( produc211755292lle_tv @ P2 ) )
% 0.19/0.45 = ( produc25129173e_tv_o @ F3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_swap
% 0.19/0.45 thf(fact_170_case__swap,axiom,
% 0.19/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,P2: produc696645085lle_fm] :
% 0.19/0.45 ( ( produc811245928lle_fm
% 0.19/0.45 @ ^ [Y5: paraco1604210848lle_fm,X5: list_char > paraco1605129243lle_tv] : ( F3 @ X5 @ Y5 )
% 0.19/0.45 @ ( produc1000205111lle_fm @ P2 ) )
% 0.19/0.45 = ( produc427355858lle_fm @ F3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_swap
% 0.19/0.45 thf(fact_171_case__swap,axiom,
% 0.19/0.45 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,P2: produc484385668lle_tv] :
% 0.19/0.45 ( ( produc648306805e_tv_o
% 0.19/0.45 @ ^ [Y5: produc1647334210lle_tv,X5: produc1647334210lle_tv] : ( F3 @ X5 @ Y5 )
% 0.19/0.45 @ ( produc1733045910lle_tv @ P2 ) )
% 0.19/0.45 = ( produc648306805e_tv_o @ F3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_swap
% 0.19/0.45 thf(fact_172_case__swap,axiom,
% 0.19/0.45 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,P2: produc1443694919lle_tv] :
% 0.19/0.45 ( ( produc427355858lle_fm
% 0.19/0.45 @ ^ [Y5: list_char > paraco1605129243lle_tv,X5: paraco1604210848lle_fm] : ( F3 @ X5 @ Y5 )
% 0.19/0.45 @ ( produc1232814113lle_tv @ P2 ) )
% 0.19/0.45 = ( produc811245928lle_fm @ F3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_swap
% 0.19/0.45 thf(fact_173_case__swap,axiom,
% 0.19/0.45 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o,P2: produc1443694919lle_tv] :
% 0.19/0.45 ( ( produc1221696404e_fm_o
% 0.19/0.45 @ ^ [Y5: list_char > paraco1605129243lle_tv,X5: paraco1604210848lle_fm] : ( F3 @ X5 @ Y5 )
% 0.19/0.45 @ ( produc1232814113lle_tv @ P2 ) )
% 0.19/0.45 = ( produc1244905514e_tv_o @ F3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_swap
% 0.19/0.45 thf(fact_174_case__swap,axiom,
% 0.19/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,P2: produc1647334210lle_tv] :
% 0.19/0.45 ( ( produc1882560353lle_tv
% 0.19/0.45 @ ^ [Y5: paraco1605129243lle_tv,X5: paraco1605129243lle_tv] : ( F3 @ X5 @ Y5 )
% 0.19/0.45 @ ( produc211755292lle_tv @ P2 ) )
% 0.19/0.45 = ( produc1882560353lle_tv @ F3 @ P2 ) ) ).
% 0.19/0.45
% 0.19/0.45 % case_swap
% 0.19/0.45 thf(fact_175_cond__case__prod__eta,axiom,
% 0.19/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,G: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 0.19/0.45 ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.19/0.45 ( ( F3 @ X @ Y4 )
% 0.19/0.45 = ( G @ ( produc2058540732lle_tv @ X @ Y4 ) ) )
% 0.19/0.45 => ( ( produc25129173e_tv_o @ F3 )
% 0.19/0.45 = G ) ) ).
% 0.19/0.45
% 0.19/0.45 % cond_case_prod_eta
% 0.19/0.45 thf(fact_176_cond__case__prod__eta,axiom,
% 0.19/0.45 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,G: produc1443694919lle_tv > produc696645085lle_fm] :
% 0.19/0.45 ( ! [X: paraco1604210848lle_fm,Y4: list_char > paraco1605129243lle_tv] :
% 0.19/0.45 ( ( F3 @ X @ Y4 )
% 0.19/0.45 = ( G @ ( produc1943344577lle_tv @ X @ Y4 ) ) )
% 0.19/0.45 => ( ( produc811245928lle_fm @ F3 )
% 0.19/0.45 = G ) ) ).
% 0.19/0.45
% 0.19/0.45 % cond_case_prod_eta
% 0.19/0.45 thf(fact_177_cond__case__prod__eta,axiom,
% 0.19/0.45 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,G: produc484385668lle_tv > $o] :
% 0.19/0.45 ( ! [X: produc1647334210lle_tv,Y4: produc1647334210lle_tv] :
% 0.19/0.45 ( ( F3 @ X @ Y4 )
% 0.19/0.45 = ( G @ ( produc1537086518lle_tv @ X @ Y4 ) ) )
% 0.19/0.45 => ( ( produc648306805e_tv_o @ F3 )
% 0.19/0.45 = G ) ) ).
% 0.19/0.45
% 0.19/0.45 % cond_case_prod_eta
% 0.19/0.45 thf(fact_178_cond__case__prod__eta,axiom,
% 0.19/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,G: produc696645085lle_fm > produc696645085lle_fm] :
% 0.30/0.45 ( ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( F3 @ X @ Y4 )
% 0.30/0.45 = ( G @ ( produc1710735575lle_fm @ X @ Y4 ) ) )
% 0.30/0.45 => ( ( produc427355858lle_fm @ F3 )
% 0.30/0.45 = G ) ) ).
% 0.30/0.45
% 0.30/0.45 % cond_case_prod_eta
% 0.30/0.45 thf(fact_179_cond__case__prod__eta,axiom,
% 0.30/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,G: produc696645085lle_fm > $o] :
% 0.30/0.45 ( ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( F3 @ X @ Y4 )
% 0.30/0.45 = ( G @ ( produc1710735575lle_fm @ X @ Y4 ) ) )
% 0.30/0.45 => ( ( produc1221696404e_fm_o @ F3 )
% 0.30/0.45 = G ) ) ).
% 0.30/0.45
% 0.30/0.45 % cond_case_prod_eta
% 0.30/0.45 thf(fact_180_cond__case__prod__eta,axiom,
% 0.30/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,G: produc1647334210lle_tv > paraco1605129243lle_tv] :
% 0.30/0.45 ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( F3 @ X @ Y4 )
% 0.30/0.45 = ( G @ ( produc2058540732lle_tv @ X @ Y4 ) ) )
% 0.30/0.45 => ( ( produc1882560353lle_tv @ F3 )
% 0.30/0.45 = G ) ) ).
% 0.30/0.45
% 0.30/0.45 % cond_case_prod_eta
% 0.30/0.45 thf(fact_181_case__prod__eta,axiom,
% 0.30/0.45 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 0.30/0.45 ( ( produc25129173e_tv_o
% 0.30/0.45 @ ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( F3 @ ( produc2058540732lle_tv @ X5 @ Y5 ) ) )
% 0.30/0.45 = F3 ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_eta
% 0.30/0.45 thf(fact_182_case__prod__eta,axiom,
% 0.30/0.45 ! [F3: produc1443694919lle_tv > produc696645085lle_fm] :
% 0.30/0.45 ( ( produc811245928lle_fm
% 0.30/0.45 @ ^ [X5: paraco1604210848lle_fm,Y5: list_char > paraco1605129243lle_tv] : ( F3 @ ( produc1943344577lle_tv @ X5 @ Y5 ) ) )
% 0.30/0.45 = F3 ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_eta
% 0.30/0.45 thf(fact_183_case__prod__eta,axiom,
% 0.30/0.45 ! [F3: produc484385668lle_tv > $o] :
% 0.30/0.45 ( ( produc648306805e_tv_o
% 0.30/0.45 @ ^ [X5: produc1647334210lle_tv,Y5: produc1647334210lle_tv] : ( F3 @ ( produc1537086518lle_tv @ X5 @ Y5 ) ) )
% 0.30/0.45 = F3 ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_eta
% 0.30/0.45 thf(fact_184_case__prod__eta,axiom,
% 0.30/0.45 ! [F3: produc696645085lle_fm > produc696645085lle_fm] :
% 0.30/0.45 ( ( produc427355858lle_fm
% 0.30/0.45 @ ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( F3 @ ( produc1710735575lle_fm @ X5 @ Y5 ) ) )
% 0.30/0.45 = F3 ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_eta
% 0.30/0.45 thf(fact_185_case__prod__eta,axiom,
% 0.30/0.45 ! [F3: produc696645085lle_fm > $o] :
% 0.30/0.45 ( ( produc1221696404e_fm_o
% 0.30/0.45 @ ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( F3 @ ( produc1710735575lle_fm @ X5 @ Y5 ) ) )
% 0.30/0.45 = F3 ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_eta
% 0.30/0.45 thf(fact_186_case__prod__eta,axiom,
% 0.30/0.45 ! [F3: produc1647334210lle_tv > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc1882560353lle_tv
% 0.30/0.45 @ ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( F3 @ ( produc2058540732lle_tv @ X5 @ Y5 ) ) )
% 0.30/0.45 = F3 ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_eta
% 0.30/0.45 thf(fact_187_case__prodE2,axiom,
% 0.30/0.45 ! [Q3: ( produc1647334210lle_tv > $o ) > $o,P3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,Z: produc1647334210lle_tv] :
% 0.30/0.45 ( ( Q3 @ ( produc25129173e_tv_o @ P3 @ Z ) )
% 0.30/0.45 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( Z
% 0.30/0.45 = ( produc2058540732lle_tv @ X @ Y4 ) )
% 0.30/0.45 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodE2
% 0.30/0.45 thf(fact_188_case__prodE2,axiom,
% 0.30/0.45 ! [Q3: produc696645085lle_fm > $o,P3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,Z: produc1443694919lle_tv] :
% 0.30/0.45 ( ( Q3 @ ( produc811245928lle_fm @ P3 @ Z ) )
% 0.30/0.45 => ~ ! [X: paraco1604210848lle_fm,Y4: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( Z
% 0.30/0.45 = ( produc1943344577lle_tv @ X @ Y4 ) )
% 0.30/0.45 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodE2
% 0.30/0.45 thf(fact_189_case__prodE2,axiom,
% 0.30/0.45 ! [Q3: $o > $o,P3: produc1647334210lle_tv > produc1647334210lle_tv > $o,Z: produc484385668lle_tv] :
% 0.30/0.45 ( ( Q3 @ ( produc648306805e_tv_o @ P3 @ Z ) )
% 0.30/0.45 => ~ ! [X: produc1647334210lle_tv,Y4: produc1647334210lle_tv] :
% 0.30/0.45 ( ( Z
% 0.30/0.45 = ( produc1537086518lle_tv @ X @ Y4 ) )
% 0.30/0.45 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodE2
% 0.30/0.45 thf(fact_190_case__prodE2,axiom,
% 0.30/0.45 ! [Q3: produc696645085lle_fm > $o,P3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,Z: produc696645085lle_fm] :
% 0.30/0.45 ( ( Q3 @ ( produc427355858lle_fm @ P3 @ Z ) )
% 0.30/0.45 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( Z
% 0.30/0.45 = ( produc1710735575lle_fm @ X @ Y4 ) )
% 0.30/0.45 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodE2
% 0.30/0.45 thf(fact_191_case__prodE2,axiom,
% 0.30/0.45 ! [Q3: $o > $o,P3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,Z: produc696645085lle_fm] :
% 0.30/0.45 ( ( Q3 @ ( produc1221696404e_fm_o @ P3 @ Z ) )
% 0.30/0.45 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( Z
% 0.30/0.45 = ( produc1710735575lle_fm @ X @ Y4 ) )
% 0.30/0.45 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodE2
% 0.30/0.45 thf(fact_192_case__prodE2,axiom,
% 0.30/0.45 ! [Q3: paraco1605129243lle_tv > $o,P3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Z: produc1647334210lle_tv] :
% 0.30/0.45 ( ( Q3 @ ( produc1882560353lle_tv @ P3 @ Z ) )
% 0.30/0.45 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( Z
% 0.30/0.45 = ( produc2058540732lle_tv @ X @ Y4 ) )
% 0.30/0.45 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodE2
% 0.30/0.45 thf(fact_193_curry__def,axiom,
% 0.30/0.45 ( produc621423502e_tv_o
% 0.30/0.45 = ( ^ [C3: produc1647334210lle_tv > $o,X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( C3 @ ( produc2058540732lle_tv @ X5 @ Y5 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curry_def
% 0.30/0.45 thf(fact_194_curry__def,axiom,
% 0.30/0.45 ( produc275353523e_fm_o
% 0.30/0.45 = ( ^ [C3: produc696645085lle_fm > $o,X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( C3 @ ( produc1710735575lle_fm @ X5 @ Y5 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curry_def
% 0.30/0.45 thf(fact_195_curry__def,axiom,
% 0.30/0.45 ( produc724036226lle_tv
% 0.30/0.45 = ( ^ [C3: produc1647334210lle_tv > paraco1605129243lle_tv,X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( C3 @ ( produc2058540732lle_tv @ X5 @ Y5 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curry_def
% 0.30/0.45 thf(fact_196_curry__K,axiom,
% 0.30/0.45 ! [C2: $o] :
% 0.30/0.45 ( ( produc621423502e_tv_o
% 0.30/0.45 @ ^ [X5: produc1647334210lle_tv] : C2 )
% 0.30/0.45 = ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : C2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % curry_K
% 0.30/0.45 thf(fact_197_curry__K,axiom,
% 0.30/0.45 ! [C2: $o] :
% 0.30/0.45 ( ( produc275353523e_fm_o
% 0.30/0.45 @ ^ [X5: produc696645085lle_fm] : C2 )
% 0.30/0.45 = ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : C2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % curry_K
% 0.30/0.45 thf(fact_198_curry__K,axiom,
% 0.30/0.45 ! [C2: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc724036226lle_tv
% 0.30/0.45 @ ^ [X5: produc1647334210lle_tv] : C2 )
% 0.30/0.45 = ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : C2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % curry_K
% 0.30/0.45 thf(fact_199_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: paraco1605129243lle_tv > produc1647334210lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod: produc1647334210lle_tv] :
% 0.30/0.45 ( ( H @ ( produc1882560353lle_tv @ F3 @ Prod ) )
% 0.30/0.45 = ( produc25129173e_tv_o
% 0.30/0.45 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_200_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: ( produc1647334210lle_tv > $o ) > paraco1605129243lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,Prod: produc1647334210lle_tv] :
% 0.30/0.45 ( ( H @ ( produc25129173e_tv_o @ F3 @ Prod ) )
% 0.30/0.45 = ( produc1882560353lle_tv
% 0.30/0.45 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_201_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: ( produc1647334210lle_tv > $o ) > produc1647334210lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,Prod: produc1647334210lle_tv] :
% 0.30/0.45 ( ( H @ ( produc25129173e_tv_o @ F3 @ Prod ) )
% 0.30/0.45 = ( produc25129173e_tv_o
% 0.30/0.45 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_202_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: produc696645085lle_fm > produc696645085lle_fm,F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,Prod: produc1443694919lle_tv] :
% 0.30/0.45 ( ( H @ ( produc811245928lle_fm @ F3 @ Prod ) )
% 0.30/0.45 = ( produc811245928lle_fm
% 0.30/0.45 @ ^ [X13: paraco1604210848lle_fm,X23: list_char > paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_203_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: $o > $o,F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,Prod: produc484385668lle_tv] :
% 0.30/0.45 ( ( H @ ( produc648306805e_tv_o @ F3 @ Prod ) )
% 0.30/0.45 = ( produc648306805e_tv_o
% 0.30/0.45 @ ^ [X13: produc1647334210lle_tv,X23: produc1647334210lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_204_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: produc696645085lle_fm > produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,Prod: produc696645085lle_fm] :
% 0.30/0.45 ( ( H @ ( produc427355858lle_fm @ F3 @ Prod ) )
% 0.30/0.45 = ( produc427355858lle_fm
% 0.30/0.45 @ ^ [X13: list_char > paraco1605129243lle_tv,X23: paraco1604210848lle_fm] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_205_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: produc696645085lle_fm > $o,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,Prod: produc696645085lle_fm] :
% 0.30/0.45 ( ( H @ ( produc427355858lle_fm @ F3 @ Prod ) )
% 0.30/0.45 = ( produc1221696404e_fm_o
% 0.30/0.45 @ ^ [X13: list_char > paraco1605129243lle_tv,X23: paraco1604210848lle_fm] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_206_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: $o > produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,Prod: produc696645085lle_fm] :
% 0.30/0.45 ( ( H @ ( produc1221696404e_fm_o @ F3 @ Prod ) )
% 0.30/0.45 = ( produc427355858lle_fm
% 0.30/0.45 @ ^ [X13: list_char > paraco1605129243lle_tv,X23: paraco1604210848lle_fm] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_207_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: $o > $o,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,Prod: produc696645085lle_fm] :
% 0.30/0.45 ( ( H @ ( produc1221696404e_fm_o @ F3 @ Prod ) )
% 0.30/0.45 = ( produc1221696404e_fm_o
% 0.30/0.45 @ ^ [X13: list_char > paraco1605129243lle_tv,X23: paraco1604210848lle_fm] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_208_prod_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: paraco1605129243lle_tv > paraco1605129243lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod: produc1647334210lle_tv] :
% 0.30/0.45 ( ( H @ ( produc1882560353lle_tv @ F3 @ Prod ) )
% 0.30/0.45 = ( produc1882560353lle_tv
% 0.30/0.45 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 0.30/0.45 @ Prod ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_distrib
% 0.30/0.45 thf(fact_209_internal__case__prod__def,axiom,
% 0.30/0.45 produc2050176383e_tv_o = produc25129173e_tv_o ).
% 0.30/0.45
% 0.30/0.45 % internal_case_prod_def
% 0.30/0.45 thf(fact_210_internal__case__prod__def,axiom,
% 0.30/0.45 produc527953982lle_fm = produc811245928lle_fm ).
% 0.30/0.45
% 0.30/0.45 % internal_case_prod_def
% 0.30/0.45 thf(fact_211_internal__case__prod__def,axiom,
% 0.30/0.45 produc323213387e_tv_o = produc648306805e_tv_o ).
% 0.30/0.45
% 0.30/0.45 % internal_case_prod_def
% 0.30/0.45 thf(fact_212_internal__case__prod__def,axiom,
% 0.30/0.45 produc144063912lle_fm = produc427355858lle_fm ).
% 0.30/0.45
% 0.30/0.45 % internal_case_prod_def
% 0.30/0.45 thf(fact_213_internal__case__prod__def,axiom,
% 0.30/0.45 produc1504058474e_fm_o = produc1221696404e_fm_o ).
% 0.30/0.45
% 0.30/0.45 % internal_case_prod_def
% 0.30/0.45 thf(fact_214_internal__case__prod__def,axiom,
% 0.30/0.45 produc192124683lle_tv = produc1882560353lle_tv ).
% 0.30/0.45
% 0.30/0.45 % internal_case_prod_def
% 0.30/0.45 thf(fact_215_tv_Ocase__distrib,axiom,
% 0.30/0.45 ! [H: paraco1605129243lle_tv > paraco1605129243lle_tv,F1: $o > paraco1605129243lle_tv,F2: nat > paraco1605129243lle_tv,Tv: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( H @ ( paraco2051596139lle_tv @ F1 @ F2 @ Tv ) )
% 0.30/0.45 = ( paraco2051596139lle_tv
% 0.30/0.45 @ ^ [X5: $o] : ( H @ ( F1 @ X5 ) )
% 0.30/0.45 @ ^ [X5: nat] : ( H @ ( F2 @ X5 ) )
% 0.30/0.45 @ Tv ) ) ).
% 0.30/0.45
% 0.30/0.45 % tv.case_distrib
% 0.30/0.45 thf(fact_216_old_Oprod_Ocase,axiom,
% 0.30/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc25129173e_tv_o @ F3 @ ( produc2058540732lle_tv @ X1 @ X2 ) )
% 0.30/0.45 = ( F3 @ X1 @ X2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % old.prod.case
% 0.30/0.45 thf(fact_217_old_Oprod_Ocase,axiom,
% 0.30/0.45 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,X1: paraco1604210848lle_fm,X2: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc811245928lle_fm @ F3 @ ( produc1943344577lle_tv @ X1 @ X2 ) )
% 0.30/0.45 = ( F3 @ X1 @ X2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % old.prod.case
% 0.30/0.45 thf(fact_218_old_Oprod_Ocase,axiom,
% 0.30/0.45 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,X1: produc1647334210lle_tv,X2: produc1647334210lle_tv] :
% 0.30/0.45 ( ( produc648306805e_tv_o @ F3 @ ( produc1537086518lle_tv @ X1 @ X2 ) )
% 0.30/0.45 = ( F3 @ X1 @ X2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % old.prod.case
% 0.30/0.45 thf(fact_219_old_Oprod_Ocase,axiom,
% 0.30/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc427355858lle_fm @ F3 @ ( produc1710735575lle_fm @ X1 @ X2 ) )
% 0.30/0.45 = ( F3 @ X1 @ X2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % old.prod.case
% 0.30/0.45 thf(fact_220_old_Oprod_Ocase,axiom,
% 0.30/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc1221696404e_fm_o @ F3 @ ( produc1710735575lle_fm @ X1 @ X2 ) )
% 0.30/0.45 = ( F3 @ X1 @ X2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % old.prod.case
% 0.30/0.45 thf(fact_221_old_Oprod_Ocase,axiom,
% 0.30/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc1882560353lle_tv @ F3 @ ( produc2058540732lle_tv @ X1 @ X2 ) )
% 0.30/0.45 = ( F3 @ X1 @ X2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % old.prod.case
% 0.30/0.45 thf(fact_222_curryE,axiom,
% 0.30/0.45 ! [F3: produc1443694919lle_tv > $o,A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc298562633e_tv_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1943344577lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryE
% 0.30/0.45 thf(fact_223_curryE,axiom,
% 0.30/0.45 ! [F3: produc484385668lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 0.30/0.45 ( ( produc1113543188e_tv_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1537086518lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryE
% 0.30/0.45 thf(fact_224_curryE,axiom,
% 0.30/0.45 ! [F3: produc450659916lle_fm > $o,A: paraco1604210848lle_fm,B: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc1339594628e_fm_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1126104134lle_fm @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryE
% 0.30/0.45 thf(fact_225_curryE,axiom,
% 0.30/0.45 ! [F3: produc1250255278lle_fm > $o,A: produc696645085lle_fm,B: produc696645085lle_fm] :
% 0.30/0.45 ( ( produc408556266e_fm_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc407632608lle_fm @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryE
% 0.30/0.45 thf(fact_226_curryE,axiom,
% 0.30/0.45 ! [F3: produc1852595672lle_tv > $o,A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc1667860344e_tv_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1297923922lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryE
% 0.30/0.45 thf(fact_227_curryE,axiom,
% 0.30/0.45 ! [F3: produc696645085lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc275353523e_fm_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1710735575lle_fm @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryE
% 0.30/0.45 thf(fact_228_curryE,axiom,
% 0.30/0.45 ! [F3: produc1647334210lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc621423502e_tv_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc2058540732lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryE
% 0.30/0.45 thf(fact_229_curryD,axiom,
% 0.30/0.45 ! [F3: produc1443694919lle_tv > $o,A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc298562633e_tv_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1943344577lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryD
% 0.30/0.45 thf(fact_230_curryD,axiom,
% 0.30/0.45 ! [F3: produc484385668lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 0.30/0.45 ( ( produc1113543188e_tv_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1537086518lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryD
% 0.30/0.45 thf(fact_231_curryD,axiom,
% 0.30/0.45 ! [F3: produc450659916lle_fm > $o,A: paraco1604210848lle_fm,B: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc1339594628e_fm_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1126104134lle_fm @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryD
% 0.30/0.45 thf(fact_232_curryD,axiom,
% 0.30/0.45 ! [F3: produc1250255278lle_fm > $o,A: produc696645085lle_fm,B: produc696645085lle_fm] :
% 0.30/0.45 ( ( produc408556266e_fm_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc407632608lle_fm @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryD
% 0.30/0.45 thf(fact_233_curryD,axiom,
% 0.30/0.45 ! [F3: produc1852595672lle_tv > $o,A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc1667860344e_tv_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1297923922lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryD
% 0.30/0.45 thf(fact_234_curryD,axiom,
% 0.30/0.45 ! [F3: produc696645085lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc275353523e_fm_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc1710735575lle_fm @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryD
% 0.30/0.45 thf(fact_235_curryD,axiom,
% 0.30/0.45 ! [F3: produc1647334210lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc621423502e_tv_o @ F3 @ A @ B )
% 0.30/0.45 => ( F3 @ ( produc2058540732lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % curryD
% 0.30/0.45 thf(fact_236_split__cong,axiom,
% 0.30/0.45 ! [Q: produc1647334210lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,G: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,P2: produc1647334210lle_tv] :
% 0.30/0.45 ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( ( produc2058540732lle_tv @ X @ Y4 )
% 0.30/0.45 = Q )
% 0.30/0.45 => ( ( F3 @ X @ Y4 )
% 0.30/0.45 = ( G @ X @ Y4 ) ) )
% 0.30/0.45 => ( ( P2 = Q )
% 0.30/0.45 => ( ( produc25129173e_tv_o @ F3 @ P2 )
% 0.30/0.45 = ( produc25129173e_tv_o @ G @ Q ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % split_cong
% 0.30/0.45 thf(fact_237_split__cong,axiom,
% 0.30/0.45 ! [Q: produc1443694919lle_tv,F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,G: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,P2: produc1443694919lle_tv] :
% 0.30/0.45 ( ! [X: paraco1604210848lle_fm,Y4: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( ( produc1943344577lle_tv @ X @ Y4 )
% 0.30/0.45 = Q )
% 0.30/0.45 => ( ( F3 @ X @ Y4 )
% 0.30/0.45 = ( G @ X @ Y4 ) ) )
% 0.30/0.45 => ( ( P2 = Q )
% 0.30/0.45 => ( ( produc811245928lle_fm @ F3 @ P2 )
% 0.30/0.45 = ( produc811245928lle_fm @ G @ Q ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % split_cong
% 0.30/0.45 thf(fact_238_split__cong,axiom,
% 0.30/0.45 ! [Q: produc484385668lle_tv,F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,G: produc1647334210lle_tv > produc1647334210lle_tv > $o,P2: produc484385668lle_tv] :
% 0.30/0.45 ( ! [X: produc1647334210lle_tv,Y4: produc1647334210lle_tv] :
% 0.30/0.45 ( ( ( produc1537086518lle_tv @ X @ Y4 )
% 0.30/0.45 = Q )
% 0.30/0.45 => ( ( F3 @ X @ Y4 )
% 0.30/0.45 = ( G @ X @ Y4 ) ) )
% 0.30/0.45 => ( ( P2 = Q )
% 0.30/0.45 => ( ( produc648306805e_tv_o @ F3 @ P2 )
% 0.30/0.45 = ( produc648306805e_tv_o @ G @ Q ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % split_cong
% 0.30/0.45 thf(fact_239_split__cong,axiom,
% 0.30/0.45 ! [Q: produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,G: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,P2: produc696645085lle_fm] :
% 0.30/0.45 ( ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( ( produc1710735575lle_fm @ X @ Y4 )
% 0.30/0.45 = Q )
% 0.30/0.45 => ( ( F3 @ X @ Y4 )
% 0.30/0.45 = ( G @ X @ Y4 ) ) )
% 0.30/0.45 => ( ( P2 = Q )
% 0.30/0.45 => ( ( produc427355858lle_fm @ F3 @ P2 )
% 0.30/0.45 = ( produc427355858lle_fm @ G @ Q ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % split_cong
% 0.30/0.45 thf(fact_240_split__cong,axiom,
% 0.30/0.45 ! [Q: produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,G: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,P2: produc696645085lle_fm] :
% 0.30/0.45 ( ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( ( produc1710735575lle_fm @ X @ Y4 )
% 0.30/0.45 = Q )
% 0.30/0.45 => ( ( F3 @ X @ Y4 )
% 0.30/0.45 = ( G @ X @ Y4 ) ) )
% 0.30/0.45 => ( ( P2 = Q )
% 0.30/0.45 => ( ( produc1221696404e_fm_o @ F3 @ P2 )
% 0.30/0.45 = ( produc1221696404e_fm_o @ G @ Q ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % split_cong
% 0.30/0.45 thf(fact_241_split__cong,axiom,
% 0.30/0.45 ! [Q: produc1647334210lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,P2: produc1647334210lle_tv] :
% 0.30/0.45 ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( ( produc2058540732lle_tv @ X @ Y4 )
% 0.30/0.45 = Q )
% 0.30/0.45 => ( ( F3 @ X @ Y4 )
% 0.30/0.45 = ( G @ X @ Y4 ) ) )
% 0.30/0.45 => ( ( P2 = Q )
% 0.30/0.45 => ( ( produc1882560353lle_tv @ F3 @ P2 )
% 0.30/0.45 = ( produc1882560353lle_tv @ G @ Q ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % split_cong
% 0.30/0.45 thf(fact_242_case__bool__if,axiom,
% 0.30/0.45 ( produc234482697lle_tv
% 0.30/0.45 = ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv,P5: $o] : ( if_Par1134130401lle_tv @ P5 @ X5 @ Y5 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_bool_if
% 0.30/0.45 thf(fact_243_case__prod__app,axiom,
% 0.30/0.45 ( produc25129173e_tv_o
% 0.30/0.45 = ( ^ [F: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,X5: produc1647334210lle_tv,Y5: produc1647334210lle_tv] :
% 0.30/0.45 ( produc852673135e_tv_o
% 0.30/0.45 @ ^ [L: paraco1605129243lle_tv,R3: paraco1605129243lle_tv] : ( F @ L @ R3 @ Y5 )
% 0.30/0.45 @ X5 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_app
% 0.30/0.45 thf(fact_244_pred__equals__eq2,axiom,
% 0.30/0.45 ! [R2: set_Pr1723822845lle_tv,S4: set_Pr1723822845lle_tv] :
% 0.30/0.45 ( ( ( ^ [X5: paraco1604210848lle_fm,Y5: list_char > paraco1605129243lle_tv] : ( member74361182lle_tv @ ( produc1943344577lle_tv @ X5 @ Y5 ) @ R2 ) )
% 0.30/0.45 = ( ^ [X5: paraco1604210848lle_fm,Y5: list_char > paraco1605129243lle_tv] : ( member74361182lle_tv @ ( produc1943344577lle_tv @ X5 @ Y5 ) @ S4 ) ) )
% 0.30/0.45 = ( R2 = S4 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pred_equals_eq2
% 0.30/0.45 thf(fact_245_pred__equals__eq2,axiom,
% 0.30/0.45 ! [R2: set_Pr2012908090lle_tv,S4: set_Pr2012908090lle_tv] :
% 0.30/0.45 ( ( ( ^ [X5: produc1647334210lle_tv,Y5: produc1647334210lle_tv] : ( member1074212123lle_tv @ ( produc1537086518lle_tv @ X5 @ Y5 ) @ R2 ) )
% 0.30/0.45 = ( ^ [X5: produc1647334210lle_tv,Y5: produc1647334210lle_tv] : ( member1074212123lle_tv @ ( produc1537086518lle_tv @ X5 @ Y5 ) @ S4 ) ) )
% 0.30/0.45 = ( R2 = S4 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pred_equals_eq2
% 0.30/0.45 thf(fact_246_pred__equals__eq2,axiom,
% 0.30/0.45 ! [R2: set_Pr1019238018lle_fm,S4: set_Pr1019238018lle_fm] :
% 0.30/0.45 ( ( ( ^ [X5: paraco1604210848lle_fm,Y5: paraco1604210848lle_fm] : ( member334644067lle_fm @ ( produc1126104134lle_fm @ X5 @ Y5 ) @ R2 ) )
% 0.30/0.45 = ( ^ [X5: paraco1604210848lle_fm,Y5: paraco1604210848lle_fm] : ( member334644067lle_fm @ ( produc1126104134lle_fm @ X5 @ Y5 ) @ S4 ) ) )
% 0.30/0.45 = ( R2 = S4 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pred_equals_eq2
% 0.30/0.45 thf(fact_247_pred__equals__eq2,axiom,
% 0.30/0.45 ! [R2: set_Pr1475944804lle_fm,S4: set_Pr1475944804lle_fm] :
% 0.30/0.45 ( ( ( ^ [X5: produc696645085lle_fm,Y5: produc696645085lle_fm] : ( member1592865093lle_fm @ ( produc407632608lle_fm @ X5 @ Y5 ) @ R2 ) )
% 0.30/0.45 = ( ^ [X5: produc696645085lle_fm,Y5: produc696645085lle_fm] : ( member1592865093lle_fm @ ( produc407632608lle_fm @ X5 @ Y5 ) @ S4 ) ) )
% 0.30/0.45 = ( R2 = S4 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pred_equals_eq2
% 0.30/0.45 thf(fact_248_pred__equals__eq2,axiom,
% 0.30/0.45 ! [R2: set_Pr2061825550lle_tv,S4: set_Pr2061825550lle_tv] :
% 0.30/0.45 ( ( ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: list_char > paraco1605129243lle_tv] : ( member146333935lle_tv @ ( produc1297923922lle_tv @ X5 @ Y5 ) @ R2 ) )
% 0.30/0.45 = ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: list_char > paraco1605129243lle_tv] : ( member146333935lle_tv @ ( produc1297923922lle_tv @ X5 @ Y5 ) @ S4 ) ) )
% 0.30/0.45 = ( R2 = S4 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pred_equals_eq2
% 0.30/0.45 thf(fact_249_pred__equals__eq2,axiom,
% 0.30/0.45 ! [R2: set_Pr2120184979lle_fm,S4: set_Pr2120184979lle_fm] :
% 0.30/0.45 ( ( ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X5 @ Y5 ) @ R2 ) )
% 0.30/0.45 = ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X5 @ Y5 ) @ S4 ) ) )
% 0.30/0.45 = ( R2 = S4 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pred_equals_eq2
% 0.30/0.45 thf(fact_250_pred__equals__eq2,axiom,
% 0.30/0.45 ! [R2: set_Pr2014382200lle_tv,S4: set_Pr2014382200lle_tv] :
% 0.30/0.45 ( ( ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X5 @ Y5 ) @ R2 ) )
% 0.30/0.45 = ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X5 @ Y5 ) @ S4 ) ) )
% 0.30/0.45 = ( R2 = S4 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pred_equals_eq2
% 0.30/0.45 thf(fact_251_pair__imageI,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ A2 )
% 0.30/0.45 => ( member266900804lle_tv @ ( F3 @ A @ B ) @ ( image_1263514817lle_tv @ ( produc1882560353lle_tv @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_252_pair__imageI,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ A2 )
% 0.30/0.45 => ( member894927066lle_tv @ ( F3 @ A @ B ) @ ( image_1070648001lle_tv @ ( produc1370344801lle_tv @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_253_pair__imageI,axiom,
% 0.30/0.45 ! [A: paraco1604210848lle_fm,B: paraco1604210848lle_fm,A2: set_Pr1019238018lle_fm,F3: paraco1604210848lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member334644067lle_fm @ ( produc1126104134lle_fm @ A @ B ) @ A2 )
% 0.30/0.45 => ( member894927066lle_tv @ ( F3 @ A @ B ) @ ( image_496052427lle_tv @ ( produc1629543915lle_tv @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_254_pair__imageI,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ A2 )
% 0.30/0.45 => ( member_o @ ( F3 @ A @ B ) @ ( image_1402739636e_fm_o @ ( produc1221696404e_fm_o @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_255_pair__imageI,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ A2 )
% 0.30/0.45 => ( member1832524214e_tv_o @ ( F3 @ A @ B ) @ ( image_1015627317e_tv_o @ ( produc25129173e_tv_o @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_256_pair__imageI,axiom,
% 0.30/0.45 ! [A: produc1647334210lle_tv,B: produc1647334210lle_tv,A2: set_Pr2012908090lle_tv,F3: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 0.30/0.45 ( ( member1074212123lle_tv @ ( produc1537086518lle_tv @ A @ B ) @ A2 )
% 0.30/0.45 => ( member_o @ ( F3 @ A @ B ) @ ( image_1610089293e_tv_o @ ( produc648306805e_tv_o @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_257_pair__imageI,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc1647334210lle_tv] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ A2 )
% 0.30/0.45 => ( member1531318361lle_tv @ ( F3 @ A @ B ) @ ( image_1110913773lle_tv @ ( produc401650381lle_tv @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_258_pair__imageI,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc696645085lle_fm] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ A2 )
% 0.30/0.45 => ( member1474794996lle_fm @ ( F3 @ A @ B ) @ ( image_937396045lle_fm @ ( produc377990317lle_fm @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_259_pair__imageI,axiom,
% 0.30/0.45 ! [A: paraco1604210848lle_fm,B: paraco1604210848lle_fm,A2: set_Pr1019238018lle_fm,F3: paraco1604210848lle_fm > paraco1604210848lle_fm > produc696645085lle_fm] :
% 0.30/0.45 ( ( member334644067lle_fm @ ( produc1126104134lle_fm @ A @ B ) @ A2 )
% 0.30/0.45 => ( member1474794996lle_fm @ ( F3 @ A @ B ) @ ( image_1662022595lle_fm @ ( produc182748835lle_fm @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_260_pair__imageI,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ A2 )
% 0.30/0.45 => ( member894927066lle_tv @ ( F3 @ A @ B ) @ ( image_305309148lle_tv @ ( produc1949847036lle_tv @ F3 ) @ A2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_imageI
% 0.30/0.45 thf(fact_261_case__prodI,axiom,
% 0.30/0.45 ! [F3: produc696645085lle_fm > produc696645085lle_fm > $o,A: produc696645085lle_fm,B: produc696645085lle_fm] :
% 0.30/0.45 ( ( F3 @ A @ B )
% 0.30/0.45 => ( produc1234307915e_fm_o @ F3 @ ( produc407632608lle_fm @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodI
% 0.30/0.45 thf(fact_262_case__prodI,axiom,
% 0.30/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > $o,A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( F3 @ A @ B )
% 0.30/0.45 => ( produc101320793e_tv_o @ F3 @ ( produc1297923922lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodI
% 0.30/0.45 thf(fact_263_case__prodI,axiom,
% 0.30/0.45 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 0.30/0.45 ( ( F3 @ A @ B )
% 0.30/0.45 => ( produc648306805e_tv_o @ F3 @ ( produc1537086518lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodI
% 0.30/0.45 thf(fact_264_case__prodI,axiom,
% 0.30/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( F3 @ A @ B )
% 0.30/0.45 => ( produc1221696404e_fm_o @ F3 @ ( produc1710735575lle_fm @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodI
% 0.30/0.45 thf(fact_265_case__prodI,axiom,
% 0.30/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( F3 @ A @ B )
% 0.30/0.45 => ( produc852673135e_tv_o @ F3 @ ( produc2058540732lle_tv @ A @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodI
% 0.30/0.45 thf(fact_266_case__prodI2,axiom,
% 0.30/0.45 ! [P2: produc696645085lle_fm,C2: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o] :
% 0.30/0.45 ( ! [A4: list_char > paraco1605129243lle_tv,B3: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( P2
% 0.30/0.45 = ( produc1710735575lle_fm @ A4 @ B3 ) )
% 0.30/0.45 => ( C2 @ A4 @ B3 ) )
% 0.30/0.45 => ( produc1221696404e_fm_o @ C2 @ P2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodI2
% 0.30/0.45 thf(fact_267_case__prodI2,axiom,
% 0.30/0.45 ! [P2: produc1647334210lle_tv,C2: paraco1605129243lle_tv > paraco1605129243lle_tv > $o] :
% 0.30/0.45 ( ! [A4: paraco1605129243lle_tv,B3: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( P2
% 0.30/0.45 = ( produc2058540732lle_tv @ A4 @ B3 ) )
% 0.30/0.45 => ( C2 @ A4 @ B3 ) )
% 0.30/0.45 => ( produc852673135e_tv_o @ C2 @ P2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodI2
% 0.30/0.45 thf(fact_268_pair__in__swap__image,axiom,
% 0.30/0.45 ! [Y: paraco1604210848lle_fm,X4: list_char > paraco1605129243lle_tv,A2: set_Pr2120184979lle_fm] :
% 0.30/0.45 ( ( member74361182lle_tv @ ( produc1943344577lle_tv @ Y @ X4 ) @ ( image_924970994lle_tv @ produc1000205111lle_fm @ A2 ) )
% 0.30/0.45 = ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) @ A2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_in_swap_image
% 0.30/0.45 thf(fact_269_pair__in__swap__image,axiom,
% 0.30/0.45 ! [Y: list_char > paraco1605129243lle_tv,X4: paraco1604210848lle_fm,A2: set_Pr1723822845lle_tv] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ Y @ X4 ) @ ( image_326034184lle_fm @ produc1232814113lle_tv @ A2 ) )
% 0.30/0.45 = ( member74361182lle_tv @ ( produc1943344577lle_tv @ X4 @ Y ) @ A2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_in_swap_image
% 0.30/0.45 thf(fact_270_pair__in__swap__image,axiom,
% 0.30/0.45 ! [Y: paraco1605129243lle_tv,X4: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ Y @ X4 ) @ ( image_1221801032lle_tv @ produc211755292lle_tv @ A2 ) )
% 0.30/0.45 = ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) @ A2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % pair_in_swap_image
% 0.30/0.45 thf(fact_271_case__prod__Pair__iden,axiom,
% 0.30/0.45 ! [P2: produc696645085lle_fm] :
% 0.30/0.45 ( ( produc427355858lle_fm @ produc1710735575lle_fm @ P2 )
% 0.30/0.45 = P2 ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_Pair_iden
% 0.30/0.45 thf(fact_272_case__prod__Pair__iden,axiom,
% 0.30/0.45 ! [P2: produc1647334210lle_tv] :
% 0.30/0.45 ( ( produc942307752lle_tv @ produc2058540732lle_tv @ P2 )
% 0.30/0.45 = P2 ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_Pair_iden
% 0.30/0.45 thf(fact_273_case__prodD,axiom,
% 0.30/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc1221696404e_fm_o @ F3 @ ( produc1710735575lle_fm @ A @ B ) )
% 0.30/0.45 => ( F3 @ A @ B ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodD
% 0.30/0.45 thf(fact_274_case__prodD,axiom,
% 0.30/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc852673135e_tv_o @ F3 @ ( produc2058540732lle_tv @ A @ B ) )
% 0.30/0.45 => ( F3 @ A @ B ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodD
% 0.30/0.45 thf(fact_275_case__prodE,axiom,
% 0.30/0.45 ! [C2: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,P2: produc696645085lle_fm] :
% 0.30/0.45 ( ( produc1221696404e_fm_o @ C2 @ P2 )
% 0.30/0.45 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( P2
% 0.30/0.45 = ( produc1710735575lle_fm @ X @ Y4 ) )
% 0.30/0.45 => ~ ( C2 @ X @ Y4 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodE
% 0.30/0.45 thf(fact_276_case__prodE,axiom,
% 0.30/0.45 ! [C2: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,P2: produc1647334210lle_tv] :
% 0.30/0.45 ( ( produc852673135e_tv_o @ C2 @ P2 )
% 0.30/0.45 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( P2
% 0.30/0.45 = ( produc2058540732lle_tv @ X @ Y4 ) )
% 0.30/0.45 => ~ ( C2 @ X @ Y4 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prodE
% 0.30/0.45 thf(fact_277_swap__product,axiom,
% 0.30/0.45 ! [A2: set_Pa1499417344lle_fm,B5: set_li72793489lle_tv] :
% 0.30/0.45 ( ( image_326034184lle_fm
% 0.30/0.45 @ ( produc811245928lle_fm
% 0.30/0.45 @ ^ [I: paraco1604210848lle_fm,J: list_char > paraco1605129243lle_tv] : ( produc1710735575lle_fm @ J @ I ) )
% 0.30/0.45 @ ( produc559987792lle_tv @ A2
% 0.30/0.45 @ ^ [Uu: paraco1604210848lle_fm] : B5 ) )
% 0.30/0.45 = ( produc327378790lle_fm @ B5
% 0.30/0.45 @ ^ [Uu: list_char > paraco1605129243lle_tv] : A2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % swap_product
% 0.30/0.45 thf(fact_278_swap__product,axiom,
% 0.30/0.45 ! [A2: set_Pa1764573435lle_tv,B5: set_Pa1764573435lle_tv] :
% 0.30/0.45 ( ( image_1221801032lle_tv
% 0.30/0.45 @ ( produc942307752lle_tv
% 0.30/0.45 @ ^ [I: paraco1605129243lle_tv,J: paraco1605129243lle_tv] : ( produc2058540732lle_tv @ J @ I ) )
% 0.30/0.45 @ ( produc479904331lle_tv @ A2
% 0.30/0.45 @ ^ [Uu: paraco1605129243lle_tv] : B5 ) )
% 0.30/0.45 = ( produc479904331lle_tv @ B5
% 0.30/0.45 @ ^ [Uu: paraco1605129243lle_tv] : A2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % swap_product
% 0.30/0.45 thf(fact_279_SigmaI,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,A2: set_li72793489lle_tv,B: paraco1604210848lle_fm,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 0.30/0.45 ( ( member894927066lle_tv @ A @ A2 )
% 0.30/0.45 => ( ( member265982409lle_fm @ B @ ( B5 @ A ) )
% 0.30/0.45 => ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaI
% 0.30/0.45 thf(fact_280_SigmaI,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B: paraco1605129243lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 0.30/0.45 ( ( member266900804lle_tv @ A @ A2 )
% 0.30/0.45 => ( ( member266900804lle_tv @ B @ ( B5 @ A ) )
% 0.30/0.45 => ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaI
% 0.30/0.45 thf(fact_281_mem__Sigma__iff,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 0.30/0.45 = ( ( member894927066lle_tv @ A @ A2 )
% 0.30/0.45 & ( member265982409lle_fm @ B @ ( B5 @ A ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % mem_Sigma_iff
% 0.30/0.45 thf(fact_282_mem__Sigma__iff,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 0.30/0.45 = ( ( member266900804lle_tv @ A @ A2 )
% 0.30/0.45 & ( member266900804lle_tv @ B @ ( B5 @ A ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % mem_Sigma_iff
% 0.30/0.45 thf(fact_283_in__inv__image,axiom,
% 0.30/0.45 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,R: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) @ ( inv_im719552961lle_tv @ R @ F3 ) )
% 0.30/0.45 = ( member1531318361lle_tv @ ( produc2058540732lle_tv @ ( F3 @ X4 ) @ ( F3 @ Y ) ) @ R ) ) ).
% 0.30/0.45
% 0.30/0.45 % in_inv_image
% 0.30/0.45 thf(fact_284_same__fstI,axiom,
% 0.30/0.45 ! [P3: ( list_char > paraco1605129243lle_tv ) > $o,X4: list_char > paraco1605129243lle_tv,Y6: paraco1604210848lle_fm,Y: paraco1604210848lle_fm,R2: ( list_char > paraco1605129243lle_tv ) > set_Pr1019238018lle_fm] :
% 0.30/0.45 ( ( P3 @ X4 )
% 0.30/0.45 => ( ( member334644067lle_fm @ ( produc1126104134lle_fm @ Y6 @ Y ) @ ( R2 @ X4 ) )
% 0.30/0.45 => ( member1592865093lle_fm @ ( produc407632608lle_fm @ ( produc1710735575lle_fm @ X4 @ Y6 ) @ ( produc1710735575lle_fm @ X4 @ Y ) ) @ ( same_f1581085506lle_fm @ P3 @ R2 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % same_fstI
% 0.30/0.45 thf(fact_285_same__fstI,axiom,
% 0.30/0.45 ! [P3: paraco1605129243lle_tv > $o,X4: paraco1605129243lle_tv,Y6: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,R2: paraco1605129243lle_tv > set_Pr2014382200lle_tv] :
% 0.30/0.45 ( ( P3 @ X4 )
% 0.30/0.45 => ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ Y6 @ Y ) @ ( R2 @ X4 ) )
% 0.30/0.45 => ( member1074212123lle_tv @ ( produc1537086518lle_tv @ ( produc2058540732lle_tv @ X4 @ Y6 ) @ ( produc2058540732lle_tv @ X4 @ Y ) ) @ ( same_f1119076903lle_tv @ P3 @ R2 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % same_fstI
% 0.30/0.45 thf(fact_286_SigmaE,axiom,
% 0.30/0.45 ! [C2: produc696645085lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 0.30/0.45 ( ( member1474794996lle_fm @ C2 @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 0.30/0.45 => ~ ! [X: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member894927066lle_tv @ X @ A2 )
% 0.30/0.45 => ! [Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( member265982409lle_fm @ Y4 @ ( B5 @ X ) )
% 0.30/0.45 => ( C2
% 0.30/0.45 != ( produc1710735575lle_fm @ X @ Y4 ) ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaE
% 0.30/0.45 thf(fact_287_SigmaE,axiom,
% 0.30/0.45 ! [C2: produc1647334210lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ C2 @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 0.30/0.45 => ~ ! [X: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member266900804lle_tv @ X @ A2 )
% 0.30/0.45 => ! [Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member266900804lle_tv @ Y4 @ ( B5 @ X ) )
% 0.30/0.45 => ( C2
% 0.30/0.45 != ( produc2058540732lle_tv @ X @ Y4 ) ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaE
% 0.30/0.45 thf(fact_288_SigmaD1,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 0.30/0.45 => ( member894927066lle_tv @ A @ A2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaD1
% 0.30/0.45 thf(fact_289_SigmaD1,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 0.30/0.45 => ( member266900804lle_tv @ A @ A2 ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaD1
% 0.30/0.45 thf(fact_290_SigmaD2,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 0.30/0.45 => ( member265982409lle_fm @ B @ ( B5 @ A ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaD2
% 0.30/0.45 thf(fact_291_SigmaD2,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 0.30/0.45 => ( member266900804lle_tv @ B @ ( B5 @ A ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaD2
% 0.30/0.45 thf(fact_292_SigmaE2,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 0.30/0.45 => ~ ( ( member894927066lle_tv @ A @ A2 )
% 0.30/0.45 => ~ ( member265982409lle_fm @ B @ ( B5 @ A ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaE2
% 0.30/0.45 thf(fact_293_SigmaE2,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 0.30/0.45 => ~ ( ( member266900804lle_tv @ A @ A2 )
% 0.30/0.45 => ~ ( member266900804lle_tv @ B @ ( B5 @ A ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % SigmaE2
% 0.30/0.45 thf(fact_294_lex__prod__def,axiom,
% 0.30/0.45 ( lex_pr567812260lle_tv
% 0.30/0.45 = ( ^ [Ra: set_Pr2014382200lle_tv,Rb: set_Pr2014382200lle_tv] :
% 0.30/0.45 ( collec1900284505lle_tv
% 0.30/0.45 @ ( produc648306805e_tv_o
% 0.30/0.45 @ ( produc25129173e_tv_o
% 0.30/0.45 @ ^ [A5: paraco1605129243lle_tv,B4: paraco1605129243lle_tv] :
% 0.30/0.45 ( produc852673135e_tv_o
% 0.30/0.45 @ ^ [A6: paraco1605129243lle_tv,B6: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A5 @ A6 ) @ Ra )
% 0.30/0.45 | ( ( A5 = A6 )
% 0.30/0.45 & ( member1531318361lle_tv @ ( produc2058540732lle_tv @ B4 @ B6 ) @ Rb ) ) ) ) ) ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % lex_prod_def
% 0.30/0.45 thf(fact_295_in__lex__prod,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A3: list_char > paraco1605129243lle_tv,B2: paraco1604210848lle_fm,R: set_Pr2061825550lle_tv,S: set_Pr1019238018lle_fm] :
% 0.30/0.45 ( ( member1592865093lle_fm @ ( produc407632608lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc1710735575lle_fm @ A3 @ B2 ) ) @ ( lex_pr2001015487lle_fm @ R @ S ) )
% 0.30/0.45 = ( ( member146333935lle_tv @ ( produc1297923922lle_tv @ A @ A3 ) @ R )
% 0.30/0.45 | ( ( A = A3 )
% 0.30/0.45 & ( member334644067lle_fm @ ( produc1126104134lle_fm @ B @ B2 ) @ S ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % in_lex_prod
% 0.30/0.45 thf(fact_296_in__lex__prod,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A3: paraco1605129243lle_tv,B2: paraco1605129243lle_tv,R: set_Pr2014382200lle_tv,S: set_Pr2014382200lle_tv] :
% 0.30/0.45 ( ( member1074212123lle_tv @ ( produc1537086518lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc2058540732lle_tv @ A3 @ B2 ) ) @ ( lex_pr567812260lle_tv @ R @ S ) )
% 0.30/0.45 = ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ A3 ) @ R )
% 0.30/0.45 | ( ( A = A3 )
% 0.30/0.45 & ( member1531318361lle_tv @ ( produc2058540732lle_tv @ B @ B2 ) @ S ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % in_lex_prod
% 0.30/0.45 thf(fact_297_relation__of__def,axiom,
% 0.30/0.45 ( order_1215526505lle_tv
% 0.30/0.45 = ( ^ [P5: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,A7: set_Pa1764573435lle_tv] :
% 0.30/0.45 ( collec15260823lle_tv
% 0.30/0.45 @ ( produc852673135e_tv_o
% 0.30/0.45 @ ^ [A5: paraco1605129243lle_tv,B4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A5 @ B4 )
% 0.30/0.45 @ ( produc479904331lle_tv @ A7
% 0.30/0.45 @ ^ [Uu: paraco1605129243lle_tv] : A7 ) )
% 0.30/0.45 & ( P5 @ A5 @ B4 ) ) ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % relation_of_def
% 0.30/0.45 thf(fact_298_map__prod__simp,axiom,
% 0.30/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1604210848lle_fm,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc1900967599lle_fm @ F3 @ G @ ( produc1710735575lle_fm @ A @ B ) )
% 0.30/0.45 = ( produc1710735575lle_fm @ ( F3 @ A ) @ ( G @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % map_prod_simp
% 0.30/0.45 thf(fact_299_map__prod__simp,axiom,
% 0.30/0.45 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1605129243lle_tv,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc918997546lle_tv @ F3 @ G @ ( produc1710735575lle_fm @ A @ B ) )
% 0.30/0.45 = ( produc2058540732lle_tv @ ( F3 @ A ) @ ( G @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % map_prod_simp
% 0.30/0.45 thf(fact_300_map__prod__simp,axiom,
% 0.30/0.45 ! [F3: paraco1605129243lle_tv > list_char > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1604210848lle_fm,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc2008706836lle_fm @ F3 @ G @ ( produc2058540732lle_tv @ A @ B ) )
% 0.30/0.45 = ( produc1710735575lle_fm @ ( F3 @ A ) @ ( G @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % map_prod_simp
% 0.30/0.45 thf(fact_301_map__prod__simp,axiom,
% 0.30/0.45 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc1345917071lle_tv @ F3 @ G @ ( produc2058540732lle_tv @ A @ B ) )
% 0.30/0.45 = ( produc2058540732lle_tv @ ( F3 @ A ) @ ( G @ B ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % map_prod_simp
% 0.30/0.45 thf(fact_302_map__prod__imageI,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,R2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1604210848lle_fm] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ R2 )
% 0.30/0.45 => ( member1474794996lle_fm @ ( produc1710735575lle_fm @ ( F3 @ A ) @ ( G @ B ) ) @ ( image_807538418lle_fm @ ( produc1900967599lle_fm @ F3 @ G ) @ R2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % map_prod_imageI
% 0.30/0.45 thf(fact_303_map__prod__imageI,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,R2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ R2 )
% 0.30/0.45 => ( member1531318361lle_tv @ ( produc2058540732lle_tv @ ( F3 @ A ) @ ( G @ B ) ) @ ( image_1110913773lle_tv @ ( produc918997546lle_tv @ F3 @ G ) @ R2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % map_prod_imageI
% 0.30/0.45 thf(fact_304_map__prod__imageI,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,R2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > list_char > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1604210848lle_fm] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ R2 )
% 0.30/0.45 => ( member1474794996lle_fm @ ( produc1710735575lle_fm @ ( F3 @ A ) @ ( G @ B ) ) @ ( image_937396045lle_fm @ ( produc2008706836lle_fm @ F3 @ G ) @ R2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % map_prod_imageI
% 0.30/0.45 thf(fact_305_map__prod__imageI,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,R2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ R2 )
% 0.30/0.45 => ( member1531318361lle_tv @ ( produc2058540732lle_tv @ ( F3 @ A ) @ ( G @ B ) ) @ ( image_1221801032lle_tv @ ( produc1345917071lle_tv @ F3 @ G ) @ R2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % map_prod_imageI
% 0.30/0.45 thf(fact_306_case__prod__map__prod,axiom,
% 0.30/0.45 ! [H: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv,X4: produc1647334210lle_tv] :
% 0.30/0.45 ( ( produc1882560353lle_tv @ H @ ( produc1345917071lle_tv @ F3 @ G @ X4 ) )
% 0.30/0.45 = ( produc1882560353lle_tv
% 0.30/0.45 @ ^ [L: paraco1605129243lle_tv,R3: paraco1605129243lle_tv] : ( H @ ( F3 @ L ) @ ( G @ R3 ) )
% 0.30/0.45 @ X4 ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_map_prod
% 0.30/0.45 thf(fact_307_prod__fun__imageE,axiom,
% 0.30/0.45 ! [C2: produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1604210848lle_fm,R2: set_Pr2120184979lle_fm] :
% 0.30/0.45 ( ( member1474794996lle_fm @ C2 @ ( image_807538418lle_fm @ ( produc1900967599lle_fm @ F3 @ G ) @ R2 ) )
% 0.30/0.45 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( C2
% 0.30/0.45 = ( produc1710735575lle_fm @ ( F3 @ X ) @ ( G @ Y4 ) ) )
% 0.30/0.45 => ~ ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X @ Y4 ) @ R2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod_fun_imageE
% 0.30/0.45 thf(fact_308_prod__fun__imageE,axiom,
% 0.30/0.45 ! [C2: produc696645085lle_fm,F3: paraco1605129243lle_tv > list_char > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1604210848lle_fm,R2: set_Pr2014382200lle_tv] :
% 0.30/0.45 ( ( member1474794996lle_fm @ C2 @ ( image_937396045lle_fm @ ( produc2008706836lle_fm @ F3 @ G ) @ R2 ) )
% 0.30/0.45 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( C2
% 0.30/0.45 = ( produc1710735575lle_fm @ ( F3 @ X ) @ ( G @ Y4 ) ) )
% 0.30/0.45 => ~ ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X @ Y4 ) @ R2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod_fun_imageE
% 0.30/0.45 thf(fact_309_prod__fun__imageE,axiom,
% 0.30/0.45 ! [C2: produc1647334210lle_tv,F3: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1605129243lle_tv,R2: set_Pr2120184979lle_fm] :
% 0.30/0.45 ( ( member1531318361lle_tv @ C2 @ ( image_1110913773lle_tv @ ( produc918997546lle_tv @ F3 @ G ) @ R2 ) )
% 0.30/0.45 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( C2
% 0.30/0.45 = ( produc2058540732lle_tv @ ( F3 @ X ) @ ( G @ Y4 ) ) )
% 0.30/0.45 => ~ ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X @ Y4 ) @ R2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod_fun_imageE
% 0.30/0.45 thf(fact_310_prod__fun__imageE,axiom,
% 0.30/0.45 ! [C2: produc1647334210lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv,R2: set_Pr2014382200lle_tv] :
% 0.30/0.45 ( ( member1531318361lle_tv @ C2 @ ( image_1221801032lle_tv @ ( produc1345917071lle_tv @ F3 @ G ) @ R2 ) )
% 0.30/0.45 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( C2
% 0.30/0.45 = ( produc2058540732lle_tv @ ( F3 @ X ) @ ( G @ Y4 ) ) )
% 0.30/0.45 => ~ ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X @ Y4 ) @ R2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod_fun_imageE
% 0.30/0.45 thf(fact_311_aboveS__def,axiom,
% 0.30/0.45 ( order_1376767238lle_tv
% 0.30/0.45 = ( ^ [R3: set_Pr2014382200lle_tv,A5: paraco1605129243lle_tv] :
% 0.30/0.45 ( collec1111687558lle_tv
% 0.30/0.45 @ ^ [B4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( B4 != A5 )
% 0.30/0.45 & ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A5 @ B4 ) @ R3 ) ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % aboveS_def
% 0.30/0.45 thf(fact_312_above__def,axiom,
% 0.30/0.45 ( order_1434492699lle_tv
% 0.30/0.45 = ( ^ [R3: set_Pr2014382200lle_tv,A5: paraco1605129243lle_tv] :
% 0.30/0.45 ( collec1111687558lle_tv
% 0.30/0.45 @ ^ [B4: paraco1605129243lle_tv] : ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A5 @ B4 ) @ R3 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % above_def
% 0.30/0.45 thf(fact_313_The__split__eq,axiom,
% 0.30/0.45 ! [X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( the_Pr1724341910lle_fm
% 0.30/0.45 @ ( produc1221696404e_fm_o
% 0.30/0.45 @ ^ [X6: list_char > paraco1605129243lle_tv,Y7: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( X4 = X6 )
% 0.30/0.45 & ( Y = Y7 ) ) ) )
% 0.30/0.45 = ( produc1710735575lle_fm @ X4 @ Y ) ) ).
% 0.30/0.45
% 0.30/0.45 % The_split_eq
% 0.30/0.45 thf(fact_314_The__split__eq,axiom,
% 0.30/0.45 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( the_Pr304385787lle_tv
% 0.30/0.45 @ ( produc852673135e_tv_o
% 0.30/0.45 @ ^ [X6: paraco1605129243lle_tv,Y7: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( X4 = X6 )
% 0.30/0.45 & ( Y = Y7 ) ) ) )
% 0.30/0.45 = ( produc2058540732lle_tv @ X4 @ Y ) ) ).
% 0.30/0.45
% 0.30/0.45 % The_split_eq
% 0.30/0.45 thf(fact_315_fst__eqD,axiom,
% 0.30/0.45 ! [X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm,A: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( ( produc29804011lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) )
% 0.30/0.45 = A )
% 0.30/0.45 => ( X4 = A ) ) ).
% 0.30/0.45
% 0.30/0.45 % fst_eqD
% 0.30/0.45 thf(fact_316_fst__eqD,axiom,
% 0.30/0.45 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,A: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( ( produc488585168lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) )
% 0.30/0.45 = A )
% 0.30/0.45 => ( X4 = A ) ) ).
% 0.30/0.45
% 0.30/0.45 % fst_eqD
% 0.30/0.45 thf(fact_317_fst__conv,axiom,
% 0.30/0.45 ! [X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc29804011lle_fm @ ( produc1710735575lle_fm @ X1 @ X2 ) )
% 0.30/0.45 = X1 ) ).
% 0.30/0.45
% 0.30/0.45 % fst_conv
% 0.30/0.45 thf(fact_318_fst__conv,axiom,
% 0.30/0.45 ! [X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc488585168lle_tv @ ( produc2058540732lle_tv @ X1 @ X2 ) )
% 0.30/0.45 = X1 ) ).
% 0.30/0.45
% 0.30/0.45 % fst_conv
% 0.30/0.45 thf(fact_319_fst__def,axiom,
% 0.30/0.45 ( produc488585168lle_tv
% 0.30/0.45 = ( produc1882560353lle_tv
% 0.30/0.45 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : X13 ) ) ).
% 0.30/0.45
% 0.30/0.45 % fst_def
% 0.30/0.45 thf(fact_320_eq__fst__iff,axiom,
% 0.30/0.45 ! [A: list_char > paraco1605129243lle_tv,P2: produc696645085lle_fm] :
% 0.30/0.45 ( ( A
% 0.30/0.45 = ( produc29804011lle_fm @ P2 ) )
% 0.30/0.45 = ( ? [B4: paraco1604210848lle_fm] :
% 0.30/0.45 ( P2
% 0.30/0.45 = ( produc1710735575lle_fm @ A @ B4 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % eq_fst_iff
% 0.30/0.45 thf(fact_321_eq__fst__iff,axiom,
% 0.30/0.45 ! [A: paraco1605129243lle_tv,P2: produc1647334210lle_tv] :
% 0.30/0.45 ( ( A
% 0.30/0.45 = ( produc488585168lle_tv @ P2 ) )
% 0.30/0.45 = ( ? [B4: paraco1605129243lle_tv] :
% 0.30/0.45 ( P2
% 0.30/0.45 = ( produc2058540732lle_tv @ A @ B4 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % eq_fst_iff
% 0.30/0.45 thf(fact_322_fstI,axiom,
% 0.30/0.45 ! [X4: produc696645085lle_fm,Y: list_char > paraco1605129243lle_tv,Z: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( X4
% 0.30/0.45 = ( produc1710735575lle_fm @ Y @ Z ) )
% 0.30/0.45 => ( ( produc29804011lle_fm @ X4 )
% 0.30/0.45 = Y ) ) ).
% 0.30/0.45
% 0.30/0.45 % fstI
% 0.30/0.45 thf(fact_323_fstI,axiom,
% 0.30/0.45 ! [X4: produc1647334210lle_tv,Y: paraco1605129243lle_tv,Z: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( X4
% 0.30/0.45 = ( produc2058540732lle_tv @ Y @ Z ) )
% 0.30/0.45 => ( ( produc488585168lle_tv @ X4 )
% 0.30/0.45 = Y ) ) ).
% 0.30/0.45
% 0.30/0.45 % fstI
% 0.30/0.45 thf(fact_324_prod_Ocollapse,axiom,
% 0.30/0.45 ! [Prod: produc696645085lle_fm] :
% 0.30/0.45 ( ( produc1710735575lle_fm @ ( produc29804011lle_fm @ Prod ) @ ( produc148705065lle_fm @ Prod ) )
% 0.30/0.45 = Prod ) ).
% 0.30/0.45
% 0.30/0.45 % prod.collapse
% 0.30/0.45 thf(fact_325_prod_Ocollapse,axiom,
% 0.30/0.45 ! [Prod: produc1647334210lle_tv] :
% 0.30/0.45 ( ( produc2058540732lle_tv @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) )
% 0.30/0.45 = Prod ) ).
% 0.30/0.45
% 0.30/0.45 % prod.collapse
% 0.30/0.45 thf(fact_326_sndI,axiom,
% 0.30/0.45 ! [X4: produc696645085lle_fm,Y: list_char > paraco1605129243lle_tv,Z: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( X4
% 0.30/0.45 = ( produc1710735575lle_fm @ Y @ Z ) )
% 0.30/0.45 => ( ( produc148705065lle_fm @ X4 )
% 0.30/0.45 = Z ) ) ).
% 0.30/0.45
% 0.30/0.45 % sndI
% 0.30/0.45 thf(fact_327_sndI,axiom,
% 0.30/0.45 ! [X4: produc1647334210lle_tv,Y: paraco1605129243lle_tv,Z: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( X4
% 0.30/0.45 = ( produc2058540732lle_tv @ Y @ Z ) )
% 0.30/0.45 => ( ( produc1837067022lle_tv @ X4 )
% 0.30/0.45 = Z ) ) ).
% 0.30/0.45
% 0.30/0.45 % sndI
% 0.30/0.45 thf(fact_328_eq__snd__iff,axiom,
% 0.30/0.45 ! [B: paraco1604210848lle_fm,P2: produc696645085lle_fm] :
% 0.30/0.45 ( ( B
% 0.30/0.45 = ( produc148705065lle_fm @ P2 ) )
% 0.30/0.45 = ( ? [A5: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( P2
% 0.30/0.45 = ( produc1710735575lle_fm @ A5 @ B ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % eq_snd_iff
% 0.30/0.45 thf(fact_329_eq__snd__iff,axiom,
% 0.30/0.45 ! [B: paraco1605129243lle_tv,P2: produc1647334210lle_tv] :
% 0.30/0.45 ( ( B
% 0.30/0.45 = ( produc1837067022lle_tv @ P2 ) )
% 0.30/0.45 = ( ? [A5: paraco1605129243lle_tv] :
% 0.30/0.45 ( P2
% 0.30/0.45 = ( produc2058540732lle_tv @ A5 @ B ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % eq_snd_iff
% 0.30/0.45 thf(fact_330_snd__eqD,axiom,
% 0.30/0.45 ! [X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm,A: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( ( produc148705065lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) )
% 0.30/0.45 = A )
% 0.30/0.45 => ( Y = A ) ) ).
% 0.30/0.45
% 0.30/0.45 % snd_eqD
% 0.30/0.45 thf(fact_331_snd__eqD,axiom,
% 0.30/0.45 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,A: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( ( produc1837067022lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) )
% 0.30/0.45 = A )
% 0.30/0.45 => ( Y = A ) ) ).
% 0.30/0.45
% 0.30/0.45 % snd_eqD
% 0.30/0.45 thf(fact_332_snd__conv,axiom,
% 0.30/0.45 ! [X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( produc148705065lle_fm @ ( produc1710735575lle_fm @ X1 @ X2 ) )
% 0.30/0.45 = X2 ) ).
% 0.30/0.45
% 0.30/0.45 % snd_conv
% 0.30/0.45 thf(fact_333_snd__conv,axiom,
% 0.30/0.45 ! [X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( produc1837067022lle_tv @ ( produc2058540732lle_tv @ X1 @ X2 ) )
% 0.30/0.45 = X2 ) ).
% 0.30/0.45
% 0.30/0.45 % snd_conv
% 0.30/0.45 thf(fact_334_snd__def,axiom,
% 0.30/0.45 ( produc1837067022lle_tv
% 0.30/0.45 = ( produc1882560353lle_tv
% 0.30/0.45 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : X23 ) ) ).
% 0.30/0.45
% 0.30/0.45 % snd_def
% 0.30/0.45 thf(fact_335_case__prod__beta,axiom,
% 0.30/0.45 ( produc1882560353lle_tv
% 0.30/0.45 = ( ^ [F: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,P: produc1647334210lle_tv] : ( F @ ( produc488585168lle_tv @ P ) @ ( produc1837067022lle_tv @ P ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_beta
% 0.30/0.45 thf(fact_336_case__prod__beta_H,axiom,
% 0.30/0.45 ( produc1882560353lle_tv
% 0.30/0.45 = ( ^ [F: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,X5: produc1647334210lle_tv] : ( F @ ( produc488585168lle_tv @ X5 ) @ ( produc1837067022lle_tv @ X5 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_beta'
% 0.30/0.45 thf(fact_337_prod_Ocase__eq__if,axiom,
% 0.30/0.45 ( produc1882560353lle_tv
% 0.30/0.45 = ( ^ [F: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod2: produc1647334210lle_tv] : ( F @ ( produc488585168lle_tv @ Prod2 ) @ ( produc1837067022lle_tv @ Prod2 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.case_eq_if
% 0.30/0.45 thf(fact_338_case__prod__unfold,axiom,
% 0.30/0.45 ( produc1882560353lle_tv
% 0.30/0.45 = ( ^ [C3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,P: produc1647334210lle_tv] : ( C3 @ ( produc488585168lle_tv @ P ) @ ( produc1837067022lle_tv @ P ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % case_prod_unfold
% 0.30/0.45 thf(fact_339_prod_Oexhaust__sel,axiom,
% 0.30/0.45 ! [Prod: produc696645085lle_fm] :
% 0.30/0.45 ( Prod
% 0.30/0.45 = ( produc1710735575lle_fm @ ( produc29804011lle_fm @ Prod ) @ ( produc148705065lle_fm @ Prod ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.exhaust_sel
% 0.30/0.45 thf(fact_340_prod_Oexhaust__sel,axiom,
% 0.30/0.45 ! [Prod: produc1647334210lle_tv] :
% 0.30/0.45 ( Prod
% 0.30/0.45 = ( produc2058540732lle_tv @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.exhaust_sel
% 0.30/0.45 thf(fact_341_surjective__pairing,axiom,
% 0.30/0.45 ! [T: produc696645085lle_fm] :
% 0.30/0.45 ( T
% 0.30/0.45 = ( produc1710735575lle_fm @ ( produc29804011lle_fm @ T ) @ ( produc148705065lle_fm @ T ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % surjective_pairing
% 0.30/0.45 thf(fact_342_surjective__pairing,axiom,
% 0.30/0.45 ! [T: produc1647334210lle_tv] :
% 0.30/0.45 ( T
% 0.30/0.45 = ( produc2058540732lle_tv @ ( produc488585168lle_tv @ T ) @ ( produc1837067022lle_tv @ T ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % surjective_pairing
% 0.30/0.45 thf(fact_343_prod_Osplit__sel,axiom,
% 0.30/0.45 ! [P3: paraco1605129243lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod: produc1647334210lle_tv] :
% 0.30/0.45 ( ( P3 @ ( produc1882560353lle_tv @ F3 @ Prod ) )
% 0.30/0.45 = ( ( Prod
% 0.30/0.45 = ( produc2058540732lle_tv @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) )
% 0.30/0.45 => ( P3 @ ( F3 @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.split_sel
% 0.30/0.45 thf(fact_344_prod_Osplit__sel__asm,axiom,
% 0.30/0.45 ! [P3: paraco1605129243lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod: produc1647334210lle_tv] :
% 0.30/0.45 ( ( P3 @ ( produc1882560353lle_tv @ F3 @ Prod ) )
% 0.30/0.45 = ( ~ ( ( Prod
% 0.30/0.45 = ( produc2058540732lle_tv @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) )
% 0.30/0.45 & ~ ( P3 @ ( F3 @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.split_sel_asm
% 0.30/0.45 thf(fact_345_prod_Oswap__def,axiom,
% 0.30/0.45 ( produc1232814113lle_tv
% 0.30/0.45 = ( ^ [P: produc1443694919lle_tv] : ( produc1710735575lle_fm @ ( produc381314067lle_tv @ P ) @ ( produc262413013lle_tv @ P ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.swap_def
% 0.30/0.45 thf(fact_346_prod_Oswap__def,axiom,
% 0.30/0.45 ( produc211755292lle_tv
% 0.30/0.45 = ( ^ [P: produc1647334210lle_tv] : ( produc2058540732lle_tv @ ( produc1837067022lle_tv @ P ) @ ( produc488585168lle_tv @ P ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % prod.swap_def
% 0.30/0.45 thf(fact_347_exE__realizer,axiom,
% 0.30/0.45 ! [P3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,P2: produc1647334210lle_tv,Q3: paraco1605129243lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( P3 @ ( produc1837067022lle_tv @ P2 ) @ ( produc488585168lle_tv @ P2 ) )
% 0.30/0.45 => ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( P3 @ Y4 @ X )
% 0.30/0.45 => ( Q3 @ ( F3 @ X @ Y4 ) ) )
% 0.30/0.45 => ( Q3 @ ( produc1882560353lle_tv @ F3 @ P2 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % exE_realizer
% 0.30/0.45 thf(fact_348_exI__realizer,axiom,
% 0.30/0.45 ! [P3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o,Y: paraco1604210848lle_fm,X4: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( P3 @ Y @ X4 )
% 0.30/0.45 => ( P3 @ ( produc148705065lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) ) @ ( produc29804011lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % exI_realizer
% 0.30/0.45 thf(fact_349_exI__realizer,axiom,
% 0.30/0.45 ! [P3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,Y: paraco1605129243lle_tv,X4: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( P3 @ Y @ X4 )
% 0.30/0.45 => ( P3 @ ( produc1837067022lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) ) @ ( produc488585168lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % exI_realizer
% 0.30/0.45 thf(fact_350_conjI__realizer,axiom,
% 0.30/0.45 ! [P3: ( list_char > paraco1605129243lle_tv ) > $o,P2: list_char > paraco1605129243lle_tv,Q3: paraco1604210848lle_fm > $o,Q: paraco1604210848lle_fm] :
% 0.30/0.45 ( ( P3 @ P2 )
% 0.30/0.45 => ( ( Q3 @ Q )
% 0.30/0.45 => ( ( P3 @ ( produc29804011lle_fm @ ( produc1710735575lle_fm @ P2 @ Q ) ) )
% 0.30/0.45 & ( Q3 @ ( produc148705065lle_fm @ ( produc1710735575lle_fm @ P2 @ Q ) ) ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % conjI_realizer
% 0.30/0.45 thf(fact_351_conjI__realizer,axiom,
% 0.30/0.45 ! [P3: paraco1605129243lle_tv > $o,P2: paraco1605129243lle_tv,Q3: paraco1605129243lle_tv > $o,Q: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( P3 @ P2 )
% 0.30/0.45 => ( ( Q3 @ Q )
% 0.30/0.45 => ( ( P3 @ ( produc488585168lle_tv @ ( produc2058540732lle_tv @ P2 @ Q ) ) )
% 0.30/0.45 & ( Q3 @ ( produc1837067022lle_tv @ ( produc2058540732lle_tv @ P2 @ Q ) ) ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % conjI_realizer
% 0.30/0.45 thf(fact_352_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 0.30/0.45 ! [P3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm,A: produc696645085lle_fm] :
% 0.30/0.45 ( ( P3 @ X4 @ Y )
% 0.30/0.45 => ( ( A
% 0.30/0.45 = ( produc1710735575lle_fm @ X4 @ Y ) )
% 0.30/0.45 => ( P3 @ ( produc29804011lle_fm @ A ) @ ( produc148705065lle_fm @ A ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % BNF_Greatest_Fixpoint.subst_Pair
% 0.30/0.45 thf(fact_353_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 0.30/0.45 ! [P3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,A: produc1647334210lle_tv] :
% 0.30/0.45 ( ( P3 @ X4 @ Y )
% 0.30/0.45 => ( ( A
% 0.30/0.45 = ( produc2058540732lle_tv @ X4 @ Y ) )
% 0.30/0.45 => ( P3 @ ( produc488585168lle_tv @ A ) @ ( produc1837067022lle_tv @ A ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 % BNF_Greatest_Fixpoint.subst_Pair
% 0.30/0.45
% 0.30/0.45 % Helper facts (3)
% 0.30/0.45 thf(help_If_3_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T,axiom,
% 0.30/0.45 ! [P3: $o] :
% 0.30/0.45 ( ( P3 = $true )
% 0.30/0.45 | ( P3 = $false ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(help_If_2_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T,axiom,
% 0.30/0.45 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( if_Par1134130401lle_tv @ $false @ X4 @ Y )
% 0.30/0.45 = Y ) ).
% 0.30/0.45
% 0.30/0.45 thf(help_If_1_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T,axiom,
% 0.30/0.45 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv] :
% 0.30/0.45 ( ( if_Par1134130401lle_tv @ $true @ X4 @ Y )
% 0.30/0.45 = X4 ) ).
% 0.30/0.45
% 0.30/0.45 % Conjectures (1)
% 0.30/0.45 thf(conj_0,conjecture,
% 0.30/0.45 ? [I4: list_char > paraco1605129243lle_tv] :
% 0.30/0.45 ( ( paraco1325918602e_eval @ I4 @ p )
% 0.30/0.45 != ( paraco1344940915le_Det @ $true ) ) ).
% 0.30/0.45
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 ------------------------
% 3.05/1.52 ---- Embedded in THF ---
% 3.05/1.52 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 3.05/1.52 %%% Generated on Tue Feb 24 08:27:03 EST 2026
% 3.05/1.52 %%% using '$$dhol' embedding, version 1.3.0.
% 3.05/1.52 %%% Logic specification used:
% 3.05/1.52 %%% thf(spec, logic, $$dhol).
% 3.05/1.52
% 3.05/1.52 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2DTF910.p
% See solution above
% 3.05/1.52 ------------------------
% 3.05/1.56 ---- Cleaned THF ---
% 3.05/1.56 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_Mt__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J_J,type,
% 3.05/1.56 set_Pr1475944804lle_fm: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_Mt__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 3.05/1.56 produc1250255278lle_fm: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_J,type,
% 3.05/1.56 set_Pr2012908090lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 produc484385668lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_J,type,
% 3.05/1.56 set_Pr2061825550lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 produc1852595672lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_J,type,
% 3.05/1.56 set_Pr1723822845lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 3.05/1.56 set_Pr2120184979lle_fm: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 produc1443694919lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc696645085lle_fm: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_I_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J_J,type,
% 3.05/1.56 set_Pr38785645e_tv_o: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 set_Pr2014382200lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 3.05/1.56 set_Pr1019238018lle_fm: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1647334210lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc450659916lle_fm: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 set_li72793489lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_It__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 set_Pa1764573435lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 set_Pa1499417344lle_fm: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 paraco1605129243lle_tv: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 paraco1604210848lle_fm: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__List__Olist_It__String__Ochar_J,type,
% 3.05/1.56 list_char: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Set__Oset_I_Eo_J,type,
% 3.05/1.56 set_o: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(ty_n_t__Nat__Onat,type,
% 3.05/1.56 nat: $tType ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 the_Pr1724341910lle_fm: ( produc696645085lle_fm > $o ) > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 the_Pr304385787lle_tv: ( produc1647334210lle_tv > $o ) > produc1647334210lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 if_Par1134130401lle_tv: $o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Order__Relation_OaboveS_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 order_1376767238lle_tv: set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Order__Relation_Oabove_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 order_1434492699lle_tv: set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Order__Relation_Orelation__of_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 order_1215526505lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_Pr2014382200lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Oeval,type,
% 3.05/1.56 paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OCon_H,type,
% 3.05/1.56 paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OEql,type,
% 3.05/1.56 paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OEql_H,type,
% 3.05/1.56 paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_ONeg_H,type,
% 3.05/1.56 paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OPro,type,
% 3.05/1.56 paraco1480028776le_Pro: list_char > paraco1604210848lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ofm_OTruth,type,
% 3.05/1.56 paraco367965286_Truth: paraco1604210848lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Otv_ODet,type,
% 3.05/1.56 paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Otv_OIndet,type,
% 3.05/1.56 paraco793048302_Indet: nat > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Otv_Ocase__tv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 paraco2051596139lle_tv: ( $o > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Paraconsistency__Mirabelle__qxuposogha_Ovalid,type,
% 3.05/1.56 paraco327635598_valid: paraco1604210848lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OPair_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1297923922lle_tv: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > produc1852595672lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OPair_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 produc1710735575lle_fm: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OPair_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1943344577lle_tv: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc1443694919lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OPair_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 produc1126104134lle_fm: paraco1604210848lle_fm > paraco1604210848lle_fm > produc450659916lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OPair_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc2058540732lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc407632608lle_fm: produc696645085lle_fm > produc696645085lle_fm > produc1250255278lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1537086518lle_tv: produc1647334210lle_tv > produc1647334210lle_tv > produc484385668lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OSigma_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 produc327378790lle_fm: set_li72793489lle_tv > ( ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm ) > set_Pr2120184979lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OSigma_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc559987792lle_tv: set_Pa1499417344lle_fm > ( paraco1604210848lle_fm > set_li72793489lle_tv ) > set_Pr1723822845lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_OSigma_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc479904331lle_tv: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > set_Pa1764573435lle_tv ) > set_Pr2014382200lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Obool_Ocase__bool_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc234482697lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 3.05/1.56 produc1667860344e_tv_o: ( produc1852595672lle_tv > $o ) > ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_Eo,type,
% 3.05/1.56 produc275353523e_fm_o: ( produc696645085lle_fm > $o ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc251170289lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 3.05/1.56 produc298562633e_tv_o: ( produc1443694919lle_tv > $o ) > paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc635060359lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_Eo,type,
% 3.05/1.56 produc1339594628e_fm_o: ( produc450659916lle_fm > $o ) > paraco1604210848lle_fm > paraco1604210848lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
% 3.05/1.56 produc2005494902e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_Eo,type,
% 3.05/1.56 produc621423502e_tv_o: ( produc1647334210lle_tv > $o ) > paraco1605129243lle_tv > paraco1605129243lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc724036226lle_tv: ( produc1647334210lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_Eo,type,
% 3.05/1.56 produc408556266e_fm_o: ( produc1250255278lle_fm > $o ) > produc696645085lle_fm > produc696645085lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ocurry_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 3.05/1.56 produc1113543188e_tv_o: ( produc484385668lle_tv > $o ) > produc1647334210lle_tv > produc1647334210lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_Eo,type,
% 3.05/1.56 produc1504058474e_fm_o: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > produc696645085lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc144063912lle_fm: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ointernal__case__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc527953982lle_fm: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > produc1443694919lle_tv > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ointernal__case__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
% 3.05/1.56 produc2050176383e_tv_o: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > produc1647334210lle_tv > produc1647334210lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ointernal__case__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc192124683lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Ointernal__case__prod_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 3.05/1.56 produc323213387e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc484385668lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Omap__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 produc1900967599lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Omap__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc918997546lle_tv: ( ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc696645085lle_fm > produc1647334210lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Omap__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 produc2008706836lle_fm: ( paraco1605129243lle_tv > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > produc1647334210lle_tv > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Omap__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc1345917071lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 3.05/1.56 produc101320793e_tv_o: ( ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > $o ) > produc1852595672lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1949847036lle_tv: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_Eo,type,
% 3.05/1.56 produc1221696404e_fm_o: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ) > produc696645085lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc427355858lle_fm: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc401650381lle_tv: ( ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc1647334210lle_tv ) > produc696645085lle_fm > produc1647334210lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 3.05/1.56 produc1244905514e_tv_o: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o ) > produc1443694919lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc811245928lle_fm: ( paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm ) > produc1443694919lle_tv > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1629543915lle_tv: ( paraco1604210848lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ) > produc450659916lle_fm > list_char > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc182748835lle_fm: ( paraco1604210848lle_fm > paraco1604210848lle_fm > produc696645085lle_fm ) > produc450659916lle_fm > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1370344801lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > list_char > paraco1605129243lle_tv ) > produc1647334210lle_tv > list_char > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
% 3.05/1.56 produc25129173e_tv_o: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o ) > produc1647334210lle_tv > produc1647334210lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001_Eo,type,
% 3.05/1.56 produc852673135e_tv_o: ( paraco1605129243lle_tv > paraco1605129243lle_tv > $o ) > produc1647334210lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc1882560353lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc377990317lle_fm: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc696645085lle_fm ) > produc1647334210lle_tv > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc942307752lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_Eo,type,
% 3.05/1.56 produc1234307915e_fm_o: ( produc696645085lle_fm > produc696645085lle_fm > $o ) > produc1250255278lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_Eo,type,
% 3.05/1.56 produc648306805e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > produc484385668lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 produc29804011lle_fm: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ofst_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc262413013lle_tv: produc1443694919lle_tv > paraco1604210848lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Ofst_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc488585168lle_tv: produc1647334210lle_tv > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 produc148705065lle_fm: produc696645085lle_fm > paraco1604210848lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Osnd_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc381314067lle_tv: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Osnd_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc1837067022lle_tv: produc1647334210lle_tv > paraco1605129243lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1176291762lle_tv: produc1852595672lle_tv > produc1852595672lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 produc1000205111lle_fm: produc696645085lle_fm > produc1443694919lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Oswap_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1232814113lle_tv: produc1443694919lle_tv > produc696645085lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Oswap_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 produc1426802342lle_fm: produc450659916lle_fm > produc450659916lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Oswap_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 produc211755292lle_tv: produc1647334210lle_tv > produc1647334210lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Oswap_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 produc116249920lle_fm: produc1250255278lle_fm > produc1250255278lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Product__Type_Oprod_Oswap_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 produc1733045910lle_tv: produc484385668lle_tv > produc484385668lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Relation_Oinv__image_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 inv_im719552961lle_tv: set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_OCollect_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 collec1351702300lle_tv: ( ( list_char > paraco1605129243lle_tv ) > $o ) > set_li72793489lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_OCollect_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 collec1102043437lle_tv: ( produc1852595672lle_tv > $o ) > set_Pr2061825550lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 collec835549234lle_fm: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 collec15260823lle_tv: ( produc1647334210lle_tv > $o ) > set_Pr2014382200lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_Mt__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 3.05/1.56 collec1363950211lle_fm: ( produc1250255278lle_fm > $o ) > set_Pr1475944804lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 collec1900284505lle_tv: ( produc484385668lle_tv > $o ) > set_Pr2012908090lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 image_305309148lle_tv: ( produc696645085lle_fm > list_char > paraco1605129243lle_tv ) > set_Pr2120184979lle_fm > set_li72793489lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_Eo,type,
% 3.05/1.56 image_1402739636e_fm_o: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm > set_o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 image_807538418lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 image_924970994lle_tv: ( produc696645085lle_fm > produc1443694919lle_tv ) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 image_1110913773lle_tv: ( produc696645085lle_fm > produc1647334210lle_tv ) > set_Pr2120184979lle_fm > set_Pr2014382200lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 image_326034184lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 image_496052427lle_tv: ( produc450659916lle_fm > list_char > paraco1605129243lle_tv ) > set_Pr1019238018lle_fm > set_li72793489lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 image_1662022595lle_fm: ( produc450659916lle_fm > produc696645085lle_fm ) > set_Pr1019238018lle_fm > set_Pr2120184979lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 image_1070648001lle_tv: ( produc1647334210lle_tv > list_char > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv > set_li72793489lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
% 3.05/1.56 image_1015627317e_tv_o: ( produc1647334210lle_tv > produc1647334210lle_tv > $o ) > set_Pr2014382200lle_tv > set_Pr38785645e_tv_o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 image_1263514817lle_tv: ( produc1647334210lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv > set_Pa1764573435lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 image_937396045lle_fm: ( produc1647334210lle_tv > produc696645085lle_fm ) > set_Pr2014382200lle_tv > set_Pr2120184979lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 image_1221801032lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > set_Pr2014382200lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J_001_Eo,type,
% 3.05/1.56 image_1610089293e_tv_o: ( produc484385668lle_tv > $o ) > set_Pr2012908090lle_tv > set_o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Wellfounded_Olex__prod_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 lex_pr2001015487lle_fm: set_Pr2061825550lle_tv > set_Pr1019238018lle_fm > set_Pr1475944804lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Wellfounded_Olex__prod_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 lex_pr567812260lle_tv: set_Pr2014382200lle_tv > set_Pr2014382200lle_tv > set_Pr2012908090lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Wfrec_Osame__fst_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 same_f1581085506lle_fm: ( ( list_char > paraco1605129243lle_tv ) > $o ) > ( ( list_char > paraco1605129243lle_tv ) > set_Pr1019238018lle_fm ) > set_Pr1475944804lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_Wfrec_Osame__fst_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 same_f1119076903lle_tv: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > set_Pr2014382200lle_tv ) > set_Pr2012908090lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 member894927066lle_tv: ( list_char > paraco1605129243lle_tv ) > set_li72793489lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001_062_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_Eo_J,type,
% 3.05/1.56 member1832524214e_tv_o: ( produc1647334210lle_tv > $o ) > set_Pr38785645e_tv_o > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001_Eo,type,
% 3.05/1.56 member_o: $o > set_o > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001t__Paraconsistency____Mirabelle____qxuposogha__Ofm,type,
% 3.05/1.56 member265982409lle_fm: paraco1604210848lle_fm > set_Pa1499417344lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001t__Paraconsistency____Mirabelle____qxuposogha__Otv,type,
% 3.05/1.56 member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 member146333935lle_tv: produc1852595672lle_tv > set_Pr2061825550lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 member1474794996lle_fm: produc696645085lle_fm > set_Pr2120184979lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_M_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 member74361182lle_tv: produc1443694919lle_tv > set_Pr1723822845lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Ofm_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J,type,
% 3.05/1.56 member334644067lle_fm: produc450659916lle_fm > set_Pr1019238018lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001t__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J,type,
% 3.05/1.56 member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_Mt__Product____Type__Oprod_I_062_It__List__Olist_It__String__Ochar_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Paraconsistency____Mirabelle____qxuposogha__Ofm_J_J,type,
% 3.05/1.56 member1592865093lle_fm: produc1250255278lle_fm > set_Pr1475944804lle_fm > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_Mt__Product____Type__Oprod_It__Paraconsistency____Mirabelle____qxuposogha__Otv_Mt__Paraconsistency____Mirabelle____qxuposogha__Otv_J_J,type,
% 3.05/1.56 member1074212123lle_tv: produc484385668lle_tv > set_Pr2012908090lle_tv > $o ).
% 3.05/1.56
% 3.05/1.56 thf(sy_v_p,type,
% 3.05/1.56 p: paraco1604210848lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(fact_0_tv_Oinject_I1_J,axiom,
% 3.05/1.56 ! [X1: $o,Y1: $o] :
% 3.05/1.56 ( ( ( paraco1344940915le_Det @ X1 )
% 3.05/1.56 = ( paraco1344940915le_Det @ Y1 ) )
% 3.05/1.56 = ( X1 = Y1 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_1_assms,axiom,
% 3.05/1.56 paraco327635598_valid @ ( paraco445776468le_Neg @ p ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_2_valid__def,axiom,
% 3.05/1.56 ( paraco327635598_valid
% 3.05/1.56 = ( ^ [P: paraco1604210848lle_fm] :
% 3.05/1.56 ! [I: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( paraco1325918602e_eval @ I @ P )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_3_eval_Osimps_I2_J,axiom,
% 3.05/1.56 ! [I2: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( paraco1325918602e_eval @ I2 @ paraco367965286_Truth )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_4_eval_Osimps_I4_J,axiom,
% 3.05/1.56 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ Q ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 != ( paraco1325918602e_eval @ I2 @ Q ) )
% 3.05/1.56 => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ Q ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 != ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 3.05/1.56 != ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco69239110le_Con @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_5_eval_Osimps_I5_J,axiom,
% 3.05/1.56 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ Q ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 != ( paraco1325918602e_eval @ I2 @ Q ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1344940915le_Det @ $false ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_6_eval__equality__simplify,axiom,
% 3.05/1.56 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco1325918602e_eval @ I2 @ ( paraco1389086619le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1344940915le_Det
% 3.05/1.56 @ ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ Q ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_7_eval__negation,axiom,
% 3.05/1.56 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1344940915le_Det @ $false ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 != ( paraco1344940915le_Det @ $false ) )
% 3.05/1.56 => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
% 3.05/1.56 = ( paraco1344940915le_Det @ $false ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 != ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ P2 ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_8_tv_Osimps_I5_J,axiom,
% 3.05/1.56 ! [F1: $o > paraco1605129243lle_tv,F2: nat > paraco1605129243lle_tv,X1: $o] :
% 3.05/1.56 ( ( paraco2051596139lle_tv @ F1 @ F2 @ ( paraco1344940915le_Det @ X1 ) )
% 3.05/1.56 = ( F1 @ X1 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_9_eval_Osimps_I1_J,axiom,
% 3.05/1.56 ! [I2: list_char > paraco1605129243lle_tv,S: list_char] :
% 3.05/1.56 ( ( paraco1325918602e_eval @ I2 @ ( paraco1480028776le_Pro @ S ) )
% 3.05/1.56 = ( I2 @ S ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_10_tv_Odistinct_I1_J,axiom,
% 3.05/1.56 ! [X1: $o,X2: nat] :
% 3.05/1.56 ( ( paraco1344940915le_Det @ X1 )
% 3.05/1.56 != ( paraco793048302_Indet @ X2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_11_tv_Oinduct,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > $o,Tv: paraco1605129243lle_tv] :
% 3.05/1.56 ( ! [X: $o] : ( P3 @ ( paraco1344940915le_Det @ X ) )
% 3.05/1.56 => ( ! [X: nat] : ( P3 @ ( paraco793048302_Indet @ X ) )
% 3.05/1.56 => ( P3 @ Tv ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_12_tv_Oexhaust,axiom,
% 3.05/1.56 ! [Y: paraco1605129243lle_tv] :
% 3.05/1.56 ( ! [X12: $o] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( paraco1344940915le_Det @ X12 ) )
% 3.05/1.56 => ~ ! [X22: nat] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( paraco793048302_Indet @ X22 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_13_fm_Oinject_I2_J,axiom,
% 3.05/1.56 ! [X3: paraco1604210848lle_fm,Y3: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( paraco445776468le_Neg @ X3 )
% 3.05/1.56 = ( paraco445776468le_Neg @ Y3 ) )
% 3.05/1.56 = ( X3 = Y3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_14_tv_Oinject_I2_J,axiom,
% 3.05/1.56 ! [X2: nat,Y2: nat] :
% 3.05/1.56 ( ( ( paraco793048302_Indet @ X2 )
% 3.05/1.56 = ( paraco793048302_Indet @ Y2 ) )
% 3.05/1.56 = ( X2 = Y2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_15_fm_Oinject_I4_J,axiom,
% 3.05/1.56 ! [X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm,Y51: paraco1604210848lle_fm,Y52: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( paraco1389086619le_Eql @ X51 @ X52 )
% 3.05/1.56 = ( paraco1389086619le_Eql @ Y51 @ Y52 ) )
% 3.05/1.56 = ( ( X51 = Y51 )
% 3.05/1.56 & ( X52 = Y52 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_16_fm_Oinject_I1_J,axiom,
% 3.05/1.56 ! [X1: list_char,Y1: list_char] :
% 3.05/1.56 ( ( ( paraco1480028776le_Pro @ X1 )
% 3.05/1.56 = ( paraco1480028776le_Pro @ Y1 ) )
% 3.05/1.56 = ( X1 = Y1 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_17_fm_Oinject_I3_J,axiom,
% 3.05/1.56 ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,Y41: paraco1604210848lle_fm,Y42: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( paraco69239110le_Con @ X41 @ X42 )
% 3.05/1.56 = ( paraco69239110le_Con @ Y41 @ Y42 ) )
% 3.05/1.56 = ( ( X41 = Y41 )
% 3.05/1.56 & ( X42 = Y42 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_18_tv_Osimps_I6_J,axiom,
% 3.05/1.56 ! [F1: $o > paraco1605129243lle_tv,F2: nat > paraco1605129243lle_tv,X2: nat] :
% 3.05/1.56 ( ( paraco2051596139lle_tv @ F1 @ F2 @ ( paraco793048302_Indet @ X2 ) )
% 3.05/1.56 = ( F2 @ X2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_19_fm_Odistinct_I25_J,axiom,
% 3.05/1.56 ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco69239110le_Con @ X41 @ X42 )
% 3.05/1.56 != ( paraco1389086619le_Eql @ X51 @ X52 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_20_fm_Odistinct_I21_J,axiom,
% 3.05/1.56 ! [X3: paraco1604210848lle_fm,X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco445776468le_Neg @ X3 )
% 3.05/1.56 != ( paraco1389086619le_Eql @ X51 @ X52 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_21_fm_Odistinct_I19_J,axiom,
% 3.05/1.56 ! [X3: paraco1604210848lle_fm,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco445776468le_Neg @ X3 )
% 3.05/1.56 != ( paraco69239110le_Con @ X41 @ X42 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_22_fm_Odistinct_I15_J,axiom,
% 3.05/1.56 ! [X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
% 3.05/1.56 ( paraco367965286_Truth
% 3.05/1.56 != ( paraco1389086619le_Eql @ X51 @ X52 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_23_fm_Odistinct_I13_J,axiom,
% 3.05/1.56 ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
% 3.05/1.56 ( paraco367965286_Truth
% 3.05/1.56 != ( paraco69239110le_Con @ X41 @ X42 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_24_fm_Odistinct_I11_J,axiom,
% 3.05/1.56 ! [X3: paraco1604210848lle_fm] :
% 3.05/1.56 ( paraco367965286_Truth
% 3.05/1.56 != ( paraco445776468le_Neg @ X3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_25_fm_Odistinct_I7_J,axiom,
% 3.05/1.56 ! [X1: list_char,X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco1480028776le_Pro @ X1 )
% 3.05/1.56 != ( paraco1389086619le_Eql @ X51 @ X52 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_26_fm_Odistinct_I5_J,axiom,
% 3.05/1.56 ! [X1: list_char,X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco1480028776le_Pro @ X1 )
% 3.05/1.56 != ( paraco69239110le_Con @ X41 @ X42 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_27_fm_Odistinct_I3_J,axiom,
% 3.05/1.56 ! [X1: list_char,X3: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco1480028776le_Pro @ X1 )
% 3.05/1.56 != ( paraco445776468le_Neg @ X3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_28_fm_Odistinct_I1_J,axiom,
% 3.05/1.56 ! [X1: list_char] :
% 3.05/1.56 ( ( paraco1480028776le_Pro @ X1 )
% 3.05/1.56 != paraco367965286_Truth ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_29_double__negation,axiom,
% 3.05/1.56 ( paraco1325918602e_eval
% 3.05/1.56 = ( ^ [I: list_char > paraco1605129243lle_tv,P: paraco1604210848lle_fm] : ( paraco1325918602e_eval @ I @ ( paraco445776468le_Neg @ ( paraco445776468le_Neg @ P ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_30_string__tv_Oinduct,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > $o,A0: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( P3 @ ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( P3 @ ( paraco1344940915le_Det @ $false ) )
% 3.05/1.56 => ( ! [N: nat] : ( P3 @ ( paraco793048302_Indet @ N ) )
% 3.05/1.56 => ( P3 @ A0 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_31_string__tv_Ocases,axiom,
% 3.05/1.56 ! [X4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( X4
% 3.05/1.56 != ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( X4
% 3.05/1.56 != ( paraco1344940915le_Det @ $false ) )
% 3.05/1.56 => ~ ! [N: nat] :
% 3.05/1.56 ( X4
% 3.05/1.56 != ( paraco793048302_Indet @ N ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_32_fm_Oinduct,axiom,
% 3.05/1.56 ! [P3: paraco1604210848lle_fm > $o,Fm: paraco1604210848lle_fm] :
% 3.05/1.56 ( ! [X: list_char] : ( P3 @ ( paraco1480028776le_Pro @ X ) )
% 3.05/1.56 => ( ( P3 @ paraco367965286_Truth )
% 3.05/1.56 => ( ! [X: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( P3 @ X )
% 3.05/1.56 => ( P3 @ ( paraco445776468le_Neg @ X ) ) )
% 3.05/1.56 => ( ! [X1a: paraco1604210848lle_fm,X22: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( P3 @ X1a )
% 3.05/1.56 => ( ( P3 @ X22 )
% 3.05/1.56 => ( P3 @ ( paraco69239110le_Con @ X1a @ X22 ) ) ) )
% 3.05/1.56 => ( ! [X1a: paraco1604210848lle_fm,X22: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( P3 @ X1a )
% 3.05/1.56 => ( ( P3 @ X22 )
% 3.05/1.56 => ( P3 @ ( paraco1389086619le_Eql @ X1a @ X22 ) ) ) )
% 3.05/1.56 => ( ! [X1a: paraco1604210848lle_fm,X22: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( P3 @ X1a )
% 3.05/1.56 => ( ( P3 @ X22 )
% 3.05/1.56 => ( P3 @ ( paraco1745535428le_Eql @ X1a @ X22 ) ) ) )
% 3.05/1.56 => ( P3 @ Fm ) ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_33_fm_Oexhaust,axiom,
% 3.05/1.56 ! [Y: paraco1604210848lle_fm] :
% 3.05/1.56 ( ! [X12: list_char] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( paraco1480028776le_Pro @ X12 ) )
% 3.05/1.56 => ( ( Y != paraco367965286_Truth )
% 3.05/1.56 => ( ! [X32: paraco1604210848lle_fm] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( paraco445776468le_Neg @ X32 ) )
% 3.05/1.56 => ( ! [X412: paraco1604210848lle_fm,X422: paraco1604210848lle_fm] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( paraco69239110le_Con @ X412 @ X422 ) )
% 3.05/1.56 => ( ! [X512: paraco1604210848lle_fm,X522: paraco1604210848lle_fm] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( paraco1389086619le_Eql @ X512 @ X522 ) )
% 3.05/1.56 => ~ ! [X61: paraco1604210848lle_fm,X62: paraco1604210848lle_fm] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( paraco1745535428le_Eql @ X61 @ X62 ) ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_34_eval_Osimps_I3_J,axiom,
% 3.05/1.56 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) )
% 3.05/1.56 = ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1344940915le_Det @ $false ) @ ( paraco1344940915le_Det @ $true ) ) @ paraco793048302_Indet @ ( paraco1325918602e_eval @ I2 @ P2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_35_eval__equality,axiom,
% 3.05/1.56 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ Q ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 != ( paraco1325918602e_eval @ I2 @ Q ) )
% 3.05/1.56 => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ Q ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 != ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ P2 ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 3.05/1.56 != ( paraco1344940915le_Det @ $true ) )
% 3.05/1.56 => ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1344940915le_Det @ $false ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ Q ) ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 != ( paraco1344940915le_Det @ $false ) )
% 3.05/1.56 => ( ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 3.05/1.56 = ( paraco1344940915le_Det @ $false ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ ( paraco445776468le_Neg @ P2 ) ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ Q )
% 3.05/1.56 != ( paraco1344940915le_Det @ $false ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1344940915le_Det @ $false ) ) ) ) ) ) ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_36_eval_Ocases,axiom,
% 3.05/1.56 ! [X4: produc696645085lle_fm] :
% 3.05/1.56 ( ! [I3: list_char > paraco1605129243lle_tv,S2: list_char] :
% 3.05/1.56 ( X4
% 3.05/1.56 != ( produc1710735575lle_fm @ I3 @ ( paraco1480028776le_Pro @ S2 ) ) )
% 3.05/1.56 => ( ! [I3: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( X4
% 3.05/1.56 != ( produc1710735575lle_fm @ I3 @ paraco367965286_Truth ) )
% 3.05/1.56 => ( ! [I3: list_char > paraco1605129243lle_tv,P4: paraco1604210848lle_fm] :
% 3.05/1.56 ( X4
% 3.05/1.56 != ( produc1710735575lle_fm @ I3 @ ( paraco445776468le_Neg @ P4 ) ) )
% 3.05/1.56 => ( ! [I3: list_char > paraco1605129243lle_tv,P4: paraco1604210848lle_fm,Q2: paraco1604210848lle_fm] :
% 3.05/1.56 ( X4
% 3.05/1.56 != ( produc1710735575lle_fm @ I3 @ ( paraco69239110le_Con @ P4 @ Q2 ) ) )
% 3.05/1.56 => ( ! [I3: list_char > paraco1605129243lle_tv,P4: paraco1604210848lle_fm,Q2: paraco1604210848lle_fm] :
% 3.05/1.56 ( X4
% 3.05/1.56 != ( produc1710735575lle_fm @ I3 @ ( paraco1389086619le_Eql @ P4 @ Q2 ) ) )
% 3.05/1.56 => ~ ! [I3: list_char > paraco1605129243lle_tv,P4: paraco1604210848lle_fm,Q2: paraco1604210848lle_fm] :
% 3.05/1.56 ( X4
% 3.05/1.56 != ( produc1710735575lle_fm @ I3 @ ( paraco1745535428le_Eql @ P4 @ Q2 ) ) ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_37_fm_Odistinct_I17_J,axiom,
% 3.05/1.56 ! [X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 3.05/1.56 ( paraco367965286_Truth
% 3.05/1.56 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_38_mem__Collect__eq,axiom,
% 3.05/1.56 ! [A: produc1250255278lle_fm,P3: produc1250255278lle_fm > $o] :
% 3.05/1.56 ( ( member1592865093lle_fm @ A @ ( collec1363950211lle_fm @ P3 ) )
% 3.05/1.56 = ( P3 @ A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_39_mem__Collect__eq,axiom,
% 3.05/1.56 ! [A: produc696645085lle_fm,P3: produc696645085lle_fm > $o] :
% 3.05/1.56 ( ( member1474794996lle_fm @ A @ ( collec835549234lle_fm @ P3 ) )
% 3.05/1.56 = ( P3 @ A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_40_mem__Collect__eq,axiom,
% 3.05/1.56 ! [A: produc1852595672lle_tv,P3: produc1852595672lle_tv > $o] :
% 3.05/1.56 ( ( member146333935lle_tv @ A @ ( collec1102043437lle_tv @ P3 ) )
% 3.05/1.56 = ( P3 @ A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_41_mem__Collect__eq,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,P3: ( list_char > paraco1605129243lle_tv ) > $o] :
% 3.05/1.56 ( ( member894927066lle_tv @ A @ ( collec1351702300lle_tv @ P3 ) )
% 3.05/1.56 = ( P3 @ A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_42_mem__Collect__eq,axiom,
% 3.05/1.56 ! [A: produc484385668lle_tv,P3: produc484385668lle_tv > $o] :
% 3.05/1.56 ( ( member1074212123lle_tv @ A @ ( collec1900284505lle_tv @ P3 ) )
% 3.05/1.56 = ( P3 @ A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_43_mem__Collect__eq,axiom,
% 3.05/1.56 ! [A: produc1647334210lle_tv,P3: produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ( member1531318361lle_tv @ A @ ( collec15260823lle_tv @ P3 ) )
% 3.05/1.56 = ( P3 @ A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_44_mem__Collect__eq,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,P3: paraco1605129243lle_tv > $o] :
% 3.05/1.56 ( ( member266900804lle_tv @ A @ ( collec1111687558lle_tv @ P3 ) )
% 3.05/1.56 = ( P3 @ A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_45_Collect__mem__eq,axiom,
% 3.05/1.56 ! [A2: set_Pr1475944804lle_fm] :
% 3.05/1.56 ( ( collec1363950211lle_fm
% 3.05/1.56 @ ^ [X5: produc1250255278lle_fm] : ( member1592865093lle_fm @ X5 @ A2 ) )
% 3.05/1.56 = A2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_46_Collect__mem__eq,axiom,
% 3.05/1.56 ! [A2: set_Pr2120184979lle_fm] :
% 3.05/1.56 ( ( collec835549234lle_fm
% 3.05/1.56 @ ^ [X5: produc696645085lle_fm] : ( member1474794996lle_fm @ X5 @ A2 ) )
% 3.05/1.56 = A2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_47_Collect__mem__eq,axiom,
% 3.05/1.56 ! [A2: set_Pr2061825550lle_tv] :
% 3.05/1.56 ( ( collec1102043437lle_tv
% 3.05/1.56 @ ^ [X5: produc1852595672lle_tv] : ( member146333935lle_tv @ X5 @ A2 ) )
% 3.05/1.56 = A2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_48_Collect__mem__eq,axiom,
% 3.05/1.56 ! [A2: set_li72793489lle_tv] :
% 3.05/1.56 ( ( collec1351702300lle_tv
% 3.05/1.56 @ ^ [X5: list_char > paraco1605129243lle_tv] : ( member894927066lle_tv @ X5 @ A2 ) )
% 3.05/1.56 = A2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_49_Collect__mem__eq,axiom,
% 3.05/1.56 ! [A2: set_Pr2012908090lle_tv] :
% 3.05/1.56 ( ( collec1900284505lle_tv
% 3.05/1.56 @ ^ [X5: produc484385668lle_tv] : ( member1074212123lle_tv @ X5 @ A2 ) )
% 3.05/1.56 = A2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_50_Collect__mem__eq,axiom,
% 3.05/1.56 ! [A2: set_Pr2014382200lle_tv] :
% 3.05/1.56 ( ( collec15260823lle_tv
% 3.05/1.56 @ ^ [X5: produc1647334210lle_tv] : ( member1531318361lle_tv @ X5 @ A2 ) )
% 3.05/1.56 = A2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_51_Collect__mem__eq,axiom,
% 3.05/1.56 ! [A2: set_Pa1764573435lle_tv] :
% 3.05/1.56 ( ( collec1111687558lle_tv
% 3.05/1.56 @ ^ [X5: paraco1605129243lle_tv] : ( member266900804lle_tv @ X5 @ A2 ) )
% 3.05/1.56 = A2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_52_Collect__cong,axiom,
% 3.05/1.56 ! [P3: produc484385668lle_tv > $o,Q3: produc484385668lle_tv > $o] :
% 3.05/1.56 ( ! [X: produc484385668lle_tv] :
% 3.05/1.56 ( ( P3 @ X )
% 3.05/1.56 = ( Q3 @ X ) )
% 3.05/1.56 => ( ( collec1900284505lle_tv @ P3 )
% 3.05/1.56 = ( collec1900284505lle_tv @ Q3 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_53_Collect__cong,axiom,
% 3.05/1.56 ! [P3: produc1647334210lle_tv > $o,Q3: produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ! [X: produc1647334210lle_tv] :
% 3.05/1.56 ( ( P3 @ X )
% 3.05/1.56 = ( Q3 @ X ) )
% 3.05/1.56 => ( ( collec15260823lle_tv @ P3 )
% 3.05/1.56 = ( collec15260823lle_tv @ Q3 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_54_Collect__cong,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > $o,Q3: paraco1605129243lle_tv > $o] :
% 3.05/1.56 ( ! [X: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( P3 @ X )
% 3.05/1.56 = ( Q3 @ X ) )
% 3.05/1.56 => ( ( collec1111687558lle_tv @ P3 )
% 3.05/1.56 = ( collec1111687558lle_tv @ Q3 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_55_fm_Oinject_I5_J,axiom,
% 3.05/1.56 ! [X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm,Y61: paraco1604210848lle_fm,Y62: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( paraco1745535428le_Eql @ X612 @ X622 )
% 3.05/1.56 = ( paraco1745535428le_Eql @ Y61 @ Y62 ) )
% 3.05/1.56 = ( ( X612 = Y61 )
% 3.05/1.56 & ( X622 = Y62 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_56_fm_Odistinct_I23_J,axiom,
% 3.05/1.56 ! [X3: paraco1604210848lle_fm,X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco445776468le_Neg @ X3 )
% 3.05/1.56 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_57_fm_Odistinct_I29_J,axiom,
% 3.05/1.56 ! [X51: paraco1604210848lle_fm,X52: paraco1604210848lle_fm,X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco1389086619le_Eql @ X51 @ X52 )
% 3.05/1.56 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_58_fm_Odistinct_I9_J,axiom,
% 3.05/1.56 ! [X1: list_char,X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco1480028776le_Pro @ X1 )
% 3.05/1.56 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_59_fm_Odistinct_I27_J,axiom,
% 3.05/1.56 ! [X41: paraco1604210848lle_fm,X42: paraco1604210848lle_fm,X612: paraco1604210848lle_fm,X622: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( paraco69239110le_Con @ X41 @ X42 )
% 3.05/1.56 != ( paraco1745535428le_Eql @ X612 @ X622 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_60_old_Oprod_Oinject,axiom,
% 3.05/1.56 ! [A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv,A3: paraco1604210848lle_fm,B2: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc1943344577lle_tv @ A @ B )
% 3.05/1.56 = ( produc1943344577lle_tv @ A3 @ B2 ) )
% 3.05/1.56 = ( ( A = A3 )
% 3.05/1.56 & ( B = B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_61_old_Oprod_Oinject,axiom,
% 3.05/1.56 ! [A: produc1647334210lle_tv,B: produc1647334210lle_tv,A3: produc1647334210lle_tv,B2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( ( produc1537086518lle_tv @ A @ B )
% 3.05/1.56 = ( produc1537086518lle_tv @ A3 @ B2 ) )
% 3.05/1.56 = ( ( A = A3 )
% 3.05/1.56 & ( B = B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_62_old_Oprod_Oinject,axiom,
% 3.05/1.56 ! [A: paraco1604210848lle_fm,B: paraco1604210848lle_fm,A3: paraco1604210848lle_fm,B2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( produc1126104134lle_fm @ A @ B )
% 3.05/1.56 = ( produc1126104134lle_fm @ A3 @ B2 ) )
% 3.05/1.56 = ( ( A = A3 )
% 3.05/1.56 & ( B = B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_63_old_Oprod_Oinject,axiom,
% 3.05/1.56 ! [A: produc696645085lle_fm,B: produc696645085lle_fm,A3: produc696645085lle_fm,B2: produc696645085lle_fm] :
% 3.05/1.56 ( ( ( produc407632608lle_fm @ A @ B )
% 3.05/1.56 = ( produc407632608lle_fm @ A3 @ B2 ) )
% 3.05/1.56 = ( ( A = A3 )
% 3.05/1.56 & ( B = B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_64_old_Oprod_Oinject,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv,A3: list_char > paraco1605129243lle_tv,B2: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc1297923922lle_tv @ A @ B )
% 3.05/1.56 = ( produc1297923922lle_tv @ A3 @ B2 ) )
% 3.05/1.56 = ( ( A = A3 )
% 3.05/1.56 & ( B = B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_65_old_Oprod_Oinject,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A3: list_char > paraco1605129243lle_tv,B2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( produc1710735575lle_fm @ A @ B )
% 3.05/1.56 = ( produc1710735575lle_fm @ A3 @ B2 ) )
% 3.05/1.56 = ( ( A = A3 )
% 3.05/1.56 & ( B = B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_66_old_Oprod_Oinject,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A3: paraco1605129243lle_tv,B2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc2058540732lle_tv @ A @ B )
% 3.05/1.56 = ( produc2058540732lle_tv @ A3 @ B2 ) )
% 3.05/1.56 = ( ( A = A3 )
% 3.05/1.56 & ( B = B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_67_prod_Oinject,axiom,
% 3.05/1.56 ! [X1: paraco1604210848lle_fm,X2: list_char > paraco1605129243lle_tv,Y1: paraco1604210848lle_fm,Y2: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc1943344577lle_tv @ X1 @ X2 )
% 3.05/1.56 = ( produc1943344577lle_tv @ Y1 @ Y2 ) )
% 3.05/1.56 = ( ( X1 = Y1 )
% 3.05/1.56 & ( X2 = Y2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_68_prod_Oinject,axiom,
% 3.05/1.56 ! [X1: produc1647334210lle_tv,X2: produc1647334210lle_tv,Y1: produc1647334210lle_tv,Y2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( ( produc1537086518lle_tv @ X1 @ X2 )
% 3.05/1.56 = ( produc1537086518lle_tv @ Y1 @ Y2 ) )
% 3.05/1.56 = ( ( X1 = Y1 )
% 3.05/1.56 & ( X2 = Y2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_69_prod_Oinject,axiom,
% 3.05/1.56 ! [X1: paraco1604210848lle_fm,X2: paraco1604210848lle_fm,Y1: paraco1604210848lle_fm,Y2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( produc1126104134lle_fm @ X1 @ X2 )
% 3.05/1.56 = ( produc1126104134lle_fm @ Y1 @ Y2 ) )
% 3.05/1.56 = ( ( X1 = Y1 )
% 3.05/1.56 & ( X2 = Y2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_70_prod_Oinject,axiom,
% 3.05/1.56 ! [X1: produc696645085lle_fm,X2: produc696645085lle_fm,Y1: produc696645085lle_fm,Y2: produc696645085lle_fm] :
% 3.05/1.56 ( ( ( produc407632608lle_fm @ X1 @ X2 )
% 3.05/1.56 = ( produc407632608lle_fm @ Y1 @ Y2 ) )
% 3.05/1.56 = ( ( X1 = Y1 )
% 3.05/1.56 & ( X2 = Y2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_71_prod_Oinject,axiom,
% 3.05/1.56 ! [X1: list_char > paraco1605129243lle_tv,X2: list_char > paraco1605129243lle_tv,Y1: list_char > paraco1605129243lle_tv,Y2: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc1297923922lle_tv @ X1 @ X2 )
% 3.05/1.56 = ( produc1297923922lle_tv @ Y1 @ Y2 ) )
% 3.05/1.56 = ( ( X1 = Y1 )
% 3.05/1.56 & ( X2 = Y2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_72_prod_Oinject,axiom,
% 3.05/1.56 ! [X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm,Y1: list_char > paraco1605129243lle_tv,Y2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( produc1710735575lle_fm @ X1 @ X2 )
% 3.05/1.56 = ( produc1710735575lle_fm @ Y1 @ Y2 ) )
% 3.05/1.56 = ( ( X1 = Y1 )
% 3.05/1.56 & ( X2 = Y2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_73_prod_Oinject,axiom,
% 3.05/1.56 ! [X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv,Y1: paraco1605129243lle_tv,Y2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc2058540732lle_tv @ X1 @ X2 )
% 3.05/1.56 = ( produc2058540732lle_tv @ Y1 @ Y2 ) )
% 3.05/1.56 = ( ( X1 = Y1 )
% 3.05/1.56 & ( X2 = Y2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_74_bool_Osplit__sel__asm,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > $o,F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv,Bool: $o] :
% 3.05/1.56 ( ( P3 @ ( produc234482697lle_tv @ F1 @ F2 @ Bool ) )
% 3.05/1.56 = ( ~ ( ( Bool
% 3.05/1.56 & ~ ( P3 @ F1 ) )
% 3.05/1.56 | ( ~ Bool
% 3.05/1.56 & ~ ( P3 @ F2 ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_75_bool_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: paraco1605129243lle_tv > paraco1605129243lle_tv,F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv,Bool: $o] :
% 3.05/1.56 ( ( H @ ( produc234482697lle_tv @ F1 @ F2 @ Bool ) )
% 3.05/1.56 = ( produc234482697lle_tv @ ( H @ F1 ) @ ( H @ F2 ) @ Bool ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_76_bool_Ocase__eq__if,axiom,
% 3.05/1.56 ( produc234482697lle_tv
% 3.05/1.56 = ( ^ [F12: paraco1605129243lle_tv,F22: paraco1605129243lle_tv,Bool2: $o] : ( if_Par1134130401lle_tv @ Bool2 @ F12 @ F22 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_77_bool_Osplit__sel,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > $o,F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv,Bool: $o] :
% 3.05/1.56 ( ( P3 @ ( produc234482697lle_tv @ F1 @ F2 @ Bool ) )
% 3.05/1.56 = ( ( Bool
% 3.05/1.56 => ( P3 @ F1 ) )
% 3.05/1.56 & ( ~ Bool
% 3.05/1.56 => ( P3 @ F2 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_78_old_Obool_Osimps_I3_J,axiom,
% 3.05/1.56 ! [F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc234482697lle_tv @ F1 @ F2 @ $true )
% 3.05/1.56 = F1 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_79_old_Obool_Osimps_I4_J,axiom,
% 3.05/1.56 ! [F1: paraco1605129243lle_tv,F2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc234482697lle_tv @ F1 @ F2 @ $false )
% 3.05/1.56 = F2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_80_surj__pair,axiom,
% 3.05/1.56 ! [P2: produc1443694919lle_tv] :
% 3.05/1.56 ? [X: paraco1604210848lle_fm,Y4: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc1943344577lle_tv @ X @ Y4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_81_surj__pair,axiom,
% 3.05/1.56 ! [P2: produc484385668lle_tv] :
% 3.05/1.56 ? [X: produc1647334210lle_tv,Y4: produc1647334210lle_tv] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc1537086518lle_tv @ X @ Y4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_82_surj__pair,axiom,
% 3.05/1.56 ! [P2: produc450659916lle_fm] :
% 3.05/1.56 ? [X: paraco1604210848lle_fm,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc1126104134lle_fm @ X @ Y4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_83_surj__pair,axiom,
% 3.05/1.56 ! [P2: produc1250255278lle_fm] :
% 3.05/1.56 ? [X: produc696645085lle_fm,Y4: produc696645085lle_fm] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc407632608lle_fm @ X @ Y4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_84_surj__pair,axiom,
% 3.05/1.56 ! [P2: produc1852595672lle_tv] :
% 3.05/1.56 ? [X: list_char > paraco1605129243lle_tv,Y4: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc1297923922lle_tv @ X @ Y4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_85_surj__pair,axiom,
% 3.05/1.56 ! [P2: produc696645085lle_fm] :
% 3.05/1.56 ? [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc1710735575lle_fm @ X @ Y4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_86_surj__pair,axiom,
% 3.05/1.56 ! [P2: produc1647334210lle_tv] :
% 3.05/1.56 ? [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc2058540732lle_tv @ X @ Y4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_87_prod__cases,axiom,
% 3.05/1.56 ! [P3: produc1443694919lle_tv > $o,P2: produc1443694919lle_tv] :
% 3.05/1.56 ( ! [A4: paraco1604210848lle_fm,B3: list_char > paraco1605129243lle_tv] : ( P3 @ ( produc1943344577lle_tv @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_88_prod__cases,axiom,
% 3.05/1.56 ! [P3: produc484385668lle_tv > $o,P2: produc484385668lle_tv] :
% 3.05/1.56 ( ! [A4: produc1647334210lle_tv,B3: produc1647334210lle_tv] : ( P3 @ ( produc1537086518lle_tv @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_89_prod__cases,axiom,
% 3.05/1.56 ! [P3: produc450659916lle_fm > $o,P2: produc450659916lle_fm] :
% 3.05/1.56 ( ! [A4: paraco1604210848lle_fm,B3: paraco1604210848lle_fm] : ( P3 @ ( produc1126104134lle_fm @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_90_prod__cases,axiom,
% 3.05/1.56 ! [P3: produc1250255278lle_fm > $o,P2: produc1250255278lle_fm] :
% 3.05/1.56 ( ! [A4: produc696645085lle_fm,B3: produc696645085lle_fm] : ( P3 @ ( produc407632608lle_fm @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_91_prod__cases,axiom,
% 3.05/1.56 ! [P3: produc1852595672lle_tv > $o,P2: produc1852595672lle_tv] :
% 3.05/1.56 ( ! [A4: list_char > paraco1605129243lle_tv,B3: list_char > paraco1605129243lle_tv] : ( P3 @ ( produc1297923922lle_tv @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_92_prod__cases,axiom,
% 3.05/1.56 ! [P3: produc696645085lle_fm > $o,P2: produc696645085lle_fm] :
% 3.05/1.56 ( ! [A4: list_char > paraco1605129243lle_tv,B3: paraco1604210848lle_fm] : ( P3 @ ( produc1710735575lle_fm @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_93_prod__cases,axiom,
% 3.05/1.56 ! [P3: produc1647334210lle_tv > $o,P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ! [A4: paraco1605129243lle_tv,B3: paraco1605129243lle_tv] : ( P3 @ ( produc2058540732lle_tv @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_94_Pair__inject,axiom,
% 3.05/1.56 ! [A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv,A3: paraco1604210848lle_fm,B2: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc1943344577lle_tv @ A @ B )
% 3.05/1.56 = ( produc1943344577lle_tv @ A3 @ B2 ) )
% 3.05/1.56 => ~ ( ( A = A3 )
% 3.05/1.56 => ( B != B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_95_Pair__inject,axiom,
% 3.05/1.56 ! [A: produc1647334210lle_tv,B: produc1647334210lle_tv,A3: produc1647334210lle_tv,B2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( ( produc1537086518lle_tv @ A @ B )
% 3.05/1.56 = ( produc1537086518lle_tv @ A3 @ B2 ) )
% 3.05/1.56 => ~ ( ( A = A3 )
% 3.05/1.56 => ( B != B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_96_Pair__inject,axiom,
% 3.05/1.56 ! [A: paraco1604210848lle_fm,B: paraco1604210848lle_fm,A3: paraco1604210848lle_fm,B2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( produc1126104134lle_fm @ A @ B )
% 3.05/1.56 = ( produc1126104134lle_fm @ A3 @ B2 ) )
% 3.05/1.56 => ~ ( ( A = A3 )
% 3.05/1.56 => ( B != B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_97_Pair__inject,axiom,
% 3.05/1.56 ! [A: produc696645085lle_fm,B: produc696645085lle_fm,A3: produc696645085lle_fm,B2: produc696645085lle_fm] :
% 3.05/1.56 ( ( ( produc407632608lle_fm @ A @ B )
% 3.05/1.56 = ( produc407632608lle_fm @ A3 @ B2 ) )
% 3.05/1.56 => ~ ( ( A = A3 )
% 3.05/1.56 => ( B != B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_98_Pair__inject,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv,A3: list_char > paraco1605129243lle_tv,B2: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc1297923922lle_tv @ A @ B )
% 3.05/1.56 = ( produc1297923922lle_tv @ A3 @ B2 ) )
% 3.05/1.56 => ~ ( ( A = A3 )
% 3.05/1.56 => ( B != B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_99_Pair__inject,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A3: list_char > paraco1605129243lle_tv,B2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( produc1710735575lle_fm @ A @ B )
% 3.05/1.56 = ( produc1710735575lle_fm @ A3 @ B2 ) )
% 3.05/1.56 => ~ ( ( A = A3 )
% 3.05/1.56 => ( B != B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_100_Pair__inject,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A3: paraco1605129243lle_tv,B2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc2058540732lle_tv @ A @ B )
% 3.05/1.56 = ( produc2058540732lle_tv @ A3 @ B2 ) )
% 3.05/1.56 => ~ ( ( A = A3 )
% 3.05/1.56 => ( B != B2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_101_prod__cases3,axiom,
% 3.05/1.56 ! [Y: produc484385668lle_tv] :
% 3.05/1.56 ~ ! [A4: produc1647334210lle_tv,B3: paraco1605129243lle_tv,C: paraco1605129243lle_tv] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( produc1537086518lle_tv @ A4 @ ( produc2058540732lle_tv @ B3 @ C ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_102_prod__cases3,axiom,
% 3.05/1.56 ! [Y: produc1250255278lle_fm] :
% 3.05/1.56 ~ ! [A4: produc696645085lle_fm,B3: list_char > paraco1605129243lle_tv,C: paraco1604210848lle_fm] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( produc407632608lle_fm @ A4 @ ( produc1710735575lle_fm @ B3 @ C ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_103_prod__induct3,axiom,
% 3.05/1.56 ! [P3: produc484385668lle_tv > $o,X4: produc484385668lle_tv] :
% 3.05/1.56 ( ! [A4: produc1647334210lle_tv,B3: paraco1605129243lle_tv,C: paraco1605129243lle_tv] : ( P3 @ ( produc1537086518lle_tv @ A4 @ ( produc2058540732lle_tv @ B3 @ C ) ) )
% 3.05/1.56 => ( P3 @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_104_prod__induct3,axiom,
% 3.05/1.56 ! [P3: produc1250255278lle_fm > $o,X4: produc1250255278lle_fm] :
% 3.05/1.56 ( ! [A4: produc696645085lle_fm,B3: list_char > paraco1605129243lle_tv,C: paraco1604210848lle_fm] : ( P3 @ ( produc407632608lle_fm @ A4 @ ( produc1710735575lle_fm @ B3 @ C ) ) )
% 3.05/1.56 => ( P3 @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_105_old_Oprod_Oexhaust,axiom,
% 3.05/1.56 ! [Y: produc1443694919lle_tv] :
% 3.05/1.56 ~ ! [A4: paraco1604210848lle_fm,B3: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( produc1943344577lle_tv @ A4 @ B3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_106_old_Oprod_Oexhaust,axiom,
% 3.05/1.56 ! [Y: produc484385668lle_tv] :
% 3.05/1.56 ~ ! [A4: produc1647334210lle_tv,B3: produc1647334210lle_tv] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( produc1537086518lle_tv @ A4 @ B3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_107_old_Oprod_Oexhaust,axiom,
% 3.05/1.56 ! [Y: produc450659916lle_fm] :
% 3.05/1.56 ~ ! [A4: paraco1604210848lle_fm,B3: paraco1604210848lle_fm] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( produc1126104134lle_fm @ A4 @ B3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_108_old_Oprod_Oexhaust,axiom,
% 3.05/1.56 ! [Y: produc1250255278lle_fm] :
% 3.05/1.56 ~ ! [A4: produc696645085lle_fm,B3: produc696645085lle_fm] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( produc407632608lle_fm @ A4 @ B3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_109_old_Oprod_Oexhaust,axiom,
% 3.05/1.56 ! [Y: produc1852595672lle_tv] :
% 3.05/1.56 ~ ! [A4: list_char > paraco1605129243lle_tv,B3: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( produc1297923922lle_tv @ A4 @ B3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_110_old_Oprod_Oexhaust,axiom,
% 3.05/1.56 ! [Y: produc696645085lle_fm] :
% 3.05/1.56 ~ ! [A4: list_char > paraco1605129243lle_tv,B3: paraco1604210848lle_fm] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( produc1710735575lle_fm @ A4 @ B3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_111_old_Oprod_Oexhaust,axiom,
% 3.05/1.56 ! [Y: produc1647334210lle_tv] :
% 3.05/1.56 ~ ! [A4: paraco1605129243lle_tv,B3: paraco1605129243lle_tv] :
% 3.05/1.56 ( Y
% 3.05/1.56 != ( produc2058540732lle_tv @ A4 @ B3 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_112_old_Oprod_Oinducts,axiom,
% 3.05/1.56 ! [P3: produc1443694919lle_tv > $o,Prod: produc1443694919lle_tv] :
% 3.05/1.56 ( ! [A4: paraco1604210848lle_fm,B3: list_char > paraco1605129243lle_tv] : ( P3 @ ( produc1943344577lle_tv @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_113_old_Oprod_Oinducts,axiom,
% 3.05/1.56 ! [P3: produc484385668lle_tv > $o,Prod: produc484385668lle_tv] :
% 3.05/1.56 ( ! [A4: produc1647334210lle_tv,B3: produc1647334210lle_tv] : ( P3 @ ( produc1537086518lle_tv @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_114_old_Oprod_Oinducts,axiom,
% 3.05/1.56 ! [P3: produc450659916lle_fm > $o,Prod: produc450659916lle_fm] :
% 3.05/1.56 ( ! [A4: paraco1604210848lle_fm,B3: paraco1604210848lle_fm] : ( P3 @ ( produc1126104134lle_fm @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_115_old_Oprod_Oinducts,axiom,
% 3.05/1.56 ! [P3: produc1250255278lle_fm > $o,Prod: produc1250255278lle_fm] :
% 3.05/1.56 ( ! [A4: produc696645085lle_fm,B3: produc696645085lle_fm] : ( P3 @ ( produc407632608lle_fm @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_116_old_Oprod_Oinducts,axiom,
% 3.05/1.56 ! [P3: produc1852595672lle_tv > $o,Prod: produc1852595672lle_tv] :
% 3.05/1.56 ( ! [A4: list_char > paraco1605129243lle_tv,B3: list_char > paraco1605129243lle_tv] : ( P3 @ ( produc1297923922lle_tv @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_117_old_Oprod_Oinducts,axiom,
% 3.05/1.56 ! [P3: produc696645085lle_fm > $o,Prod: produc696645085lle_fm] :
% 3.05/1.56 ( ! [A4: list_char > paraco1605129243lle_tv,B3: paraco1604210848lle_fm] : ( P3 @ ( produc1710735575lle_fm @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_118_old_Oprod_Oinducts,axiom,
% 3.05/1.56 ! [P3: produc1647334210lle_tv > $o,Prod: produc1647334210lle_tv] :
% 3.05/1.56 ( ! [A4: paraco1605129243lle_tv,B3: paraco1605129243lle_tv] : ( P3 @ ( produc2058540732lle_tv @ A4 @ B3 ) )
% 3.05/1.56 => ( P3 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_119_internal__case__prod__conv,axiom,
% 3.05/1.56 ! [C2: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc192124683lle_tv @ C2 @ ( produc2058540732lle_tv @ A @ B ) )
% 3.05/1.56 = ( C2 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_120_ssubst__Pair__rhs,axiom,
% 3.05/1.56 ! [R: paraco1604210848lle_fm,S: list_char > paraco1605129243lle_tv,R2: set_Pr1723822845lle_tv,S3: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member74361182lle_tv @ ( produc1943344577lle_tv @ R @ S ) @ R2 )
% 3.05/1.56 => ( ( S3 = S )
% 3.05/1.56 => ( member74361182lle_tv @ ( produc1943344577lle_tv @ R @ S3 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_121_ssubst__Pair__rhs,axiom,
% 3.05/1.56 ! [R: produc1647334210lle_tv,S: produc1647334210lle_tv,R2: set_Pr2012908090lle_tv,S3: produc1647334210lle_tv] :
% 3.05/1.56 ( ( member1074212123lle_tv @ ( produc1537086518lle_tv @ R @ S ) @ R2 )
% 3.05/1.56 => ( ( S3 = S )
% 3.05/1.56 => ( member1074212123lle_tv @ ( produc1537086518lle_tv @ R @ S3 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_122_ssubst__Pair__rhs,axiom,
% 3.05/1.56 ! [R: paraco1604210848lle_fm,S: paraco1604210848lle_fm,R2: set_Pr1019238018lle_fm,S3: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( member334644067lle_fm @ ( produc1126104134lle_fm @ R @ S ) @ R2 )
% 3.05/1.56 => ( ( S3 = S )
% 3.05/1.56 => ( member334644067lle_fm @ ( produc1126104134lle_fm @ R @ S3 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_123_ssubst__Pair__rhs,axiom,
% 3.05/1.56 ! [R: produc696645085lle_fm,S: produc696645085lle_fm,R2: set_Pr1475944804lle_fm,S3: produc696645085lle_fm] :
% 3.05/1.56 ( ( member1592865093lle_fm @ ( produc407632608lle_fm @ R @ S ) @ R2 )
% 3.05/1.56 => ( ( S3 = S )
% 3.05/1.56 => ( member1592865093lle_fm @ ( produc407632608lle_fm @ R @ S3 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_124_ssubst__Pair__rhs,axiom,
% 3.05/1.56 ! [R: list_char > paraco1605129243lle_tv,S: list_char > paraco1605129243lle_tv,R2: set_Pr2061825550lle_tv,S3: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member146333935lle_tv @ ( produc1297923922lle_tv @ R @ S ) @ R2 )
% 3.05/1.56 => ( ( S3 = S )
% 3.05/1.56 => ( member146333935lle_tv @ ( produc1297923922lle_tv @ R @ S3 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_125_ssubst__Pair__rhs,axiom,
% 3.05/1.56 ! [R: list_char > paraco1605129243lle_tv,S: paraco1604210848lle_fm,R2: set_Pr2120184979lle_fm,S3: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ R @ S ) @ R2 )
% 3.05/1.56 => ( ( S3 = S )
% 3.05/1.56 => ( member1474794996lle_fm @ ( produc1710735575lle_fm @ R @ S3 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_126_ssubst__Pair__rhs,axiom,
% 3.05/1.56 ! [R: paraco1605129243lle_tv,S: paraco1605129243lle_tv,R2: set_Pr2014382200lle_tv,S3: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ R @ S ) @ R2 )
% 3.05/1.56 => ( ( S3 = S )
% 3.05/1.56 => ( member1531318361lle_tv @ ( produc2058540732lle_tv @ R @ S3 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_127_curry__conv,axiom,
% 3.05/1.56 ( produc621423502e_tv_o
% 3.05/1.56 = ( ^ [F: produc1647334210lle_tv > $o,A5: paraco1605129243lle_tv,B4: paraco1605129243lle_tv] : ( F @ ( produc2058540732lle_tv @ A5 @ B4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_128_curry__conv,axiom,
% 3.05/1.56 ( produc275353523e_fm_o
% 3.05/1.56 = ( ^ [F: produc696645085lle_fm > $o,A5: list_char > paraco1605129243lle_tv,B4: paraco1604210848lle_fm] : ( F @ ( produc1710735575lle_fm @ A5 @ B4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_129_curry__conv,axiom,
% 3.05/1.56 ( produc724036226lle_tv
% 3.05/1.56 = ( ^ [F: produc1647334210lle_tv > paraco1605129243lle_tv,A5: paraco1605129243lle_tv,B4: paraco1605129243lle_tv] : ( F @ ( produc2058540732lle_tv @ A5 @ B4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_130_curryI,axiom,
% 3.05/1.56 ! [F3: produc1443694919lle_tv > $o,A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( F3 @ ( produc1943344577lle_tv @ A @ B ) )
% 3.05/1.56 => ( produc298562633e_tv_o @ F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_131_curryI,axiom,
% 3.05/1.56 ! [F3: produc484385668lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 3.05/1.56 ( ( F3 @ ( produc1537086518lle_tv @ A @ B ) )
% 3.05/1.56 => ( produc1113543188e_tv_o @ F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_132_curryI,axiom,
% 3.05/1.56 ! [F3: produc450659916lle_fm > $o,A: paraco1604210848lle_fm,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( F3 @ ( produc1126104134lle_fm @ A @ B ) )
% 3.05/1.56 => ( produc1339594628e_fm_o @ F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_133_curryI,axiom,
% 3.05/1.56 ! [F3: produc1250255278lle_fm > $o,A: produc696645085lle_fm,B: produc696645085lle_fm] :
% 3.05/1.56 ( ( F3 @ ( produc407632608lle_fm @ A @ B ) )
% 3.05/1.56 => ( produc408556266e_fm_o @ F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_134_curryI,axiom,
% 3.05/1.56 ! [F3: produc1852595672lle_tv > $o,A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( F3 @ ( produc1297923922lle_tv @ A @ B ) )
% 3.05/1.56 => ( produc1667860344e_tv_o @ F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_135_curryI,axiom,
% 3.05/1.56 ! [F3: produc696645085lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( F3 @ ( produc1710735575lle_fm @ A @ B ) )
% 3.05/1.56 => ( produc275353523e_fm_o @ F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_136_curryI,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( F3 @ ( produc2058540732lle_tv @ A @ B ) )
% 3.05/1.56 => ( produc621423502e_tv_o @ F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_137_swap__simp,axiom,
% 3.05/1.56 ! [X4: produc1647334210lle_tv,Y: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc1733045910lle_tv @ ( produc1537086518lle_tv @ X4 @ Y ) )
% 3.05/1.56 = ( produc1537086518lle_tv @ Y @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_138_swap__simp,axiom,
% 3.05/1.56 ! [X4: paraco1604210848lle_fm,Y: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc1426802342lle_fm @ ( produc1126104134lle_fm @ X4 @ Y ) )
% 3.05/1.56 = ( produc1126104134lle_fm @ Y @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_139_swap__simp,axiom,
% 3.05/1.56 ! [X4: produc696645085lle_fm,Y: produc696645085lle_fm] :
% 3.05/1.56 ( ( produc116249920lle_fm @ ( produc407632608lle_fm @ X4 @ Y ) )
% 3.05/1.56 = ( produc407632608lle_fm @ Y @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_140_swap__simp,axiom,
% 3.05/1.56 ! [X4: list_char > paraco1605129243lle_tv,Y: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1176291762lle_tv @ ( produc1297923922lle_tv @ X4 @ Y ) )
% 3.05/1.56 = ( produc1297923922lle_tv @ Y @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_141_swap__simp,axiom,
% 3.05/1.56 ! [X4: paraco1604210848lle_fm,Y: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1232814113lle_tv @ ( produc1943344577lle_tv @ X4 @ Y ) )
% 3.05/1.56 = ( produc1710735575lle_fm @ Y @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_142_swap__simp,axiom,
% 3.05/1.56 ! [X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc1000205111lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) )
% 3.05/1.56 = ( produc1943344577lle_tv @ Y @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_143_swap__simp,axiom,
% 3.05/1.56 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc211755292lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) )
% 3.05/1.56 = ( produc2058540732lle_tv @ Y @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_144_eval_Osimps_I6_J,axiom,
% 3.05/1.56 ! [I2: list_char > paraco1605129243lle_tv,P2: paraco1604210848lle_fm,Q: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 = ( paraco1325918602e_eval @ I2 @ Q ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( paraco1344940915le_Det @ $true ) ) )
% 3.05/1.56 & ( ( ( paraco1325918602e_eval @ I2 @ P2 )
% 3.05/1.56 != ( paraco1325918602e_eval @ I2 @ Q ) )
% 3.05/1.56 => ( ( paraco1325918602e_eval @ I2 @ ( paraco1745535428le_Eql @ P2 @ Q ) )
% 3.05/1.56 = ( produc1882560353lle_tv
% 3.05/1.56 @ ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] :
% 3.05/1.56 ( paraco2051596139lle_tv
% 3.05/1.56 @ ( produc234482697lle_tv @ ( paraco1325918602e_eval @ I2 @ Q )
% 3.05/1.56 @ ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1325918602e_eval @ I2 @ P2 ) @ ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1344940915le_Det @ $false ) @ ( paraco1344940915le_Det @ $true ) ) @ paraco793048302_Indet @ ( paraco1325918602e_eval @ I2 @ Q ) ) )
% 3.05/1.56 @ ^ [Nat: nat] : ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1344940915le_Det @ $false ) @ ( paraco1344940915le_Det @ $true ) ) @ paraco793048302_Indet @ ( paraco1325918602e_eval @ I2 @ Q ) )
% 3.05/1.56 @ Y5 ) )
% 3.05/1.56 @ ^ [Nat: nat] :
% 3.05/1.56 ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1325918602e_eval @ I2 @ P2 ) @ ( paraco2051596139lle_tv @ ( produc234482697lle_tv @ ( paraco1344940915le_Det @ $false ) @ ( paraco1344940915le_Det @ $true ) ) @ paraco793048302_Indet @ ( paraco1325918602e_eval @ I2 @ P2 ) ) )
% 3.05/1.56 @ ^ [Nata: nat] : ( paraco1344940915le_Det @ $false )
% 3.05/1.56 @ Y5 )
% 3.05/1.56 @ X5 )
% 3.05/1.56 @ ( produc2058540732lle_tv @ ( paraco1325918602e_eval @ I2 @ P2 ) @ ( paraco1325918602e_eval @ I2 @ Q ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_145_swap__swap,axiom,
% 3.05/1.56 ! [P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc211755292lle_tv @ ( produc211755292lle_tv @ P2 ) )
% 3.05/1.56 = P2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_146_swap__swap,axiom,
% 3.05/1.56 ! [P2: produc1443694919lle_tv] :
% 3.05/1.56 ( ( produc1000205111lle_fm @ ( produc1232814113lle_tv @ P2 ) )
% 3.05/1.56 = P2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_147_swap__swap,axiom,
% 3.05/1.56 ! [P2: produc696645085lle_fm] :
% 3.05/1.56 ( ( produc1232814113lle_tv @ ( produc1000205111lle_fm @ P2 ) )
% 3.05/1.56 = P2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_148_case__prod__conv,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc25129173e_tv_o @ F3 @ ( produc2058540732lle_tv @ A @ B ) )
% 3.05/1.56 = ( F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_149_case__prod__conv,axiom,
% 3.05/1.56 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc811245928lle_fm @ F3 @ ( produc1943344577lle_tv @ A @ B ) )
% 3.05/1.56 = ( F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_150_case__prod__conv,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc648306805e_tv_o @ F3 @ ( produc1537086518lle_tv @ A @ B ) )
% 3.05/1.56 = ( F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_151_case__prod__conv,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc427355858lle_fm @ F3 @ ( produc1710735575lle_fm @ A @ B ) )
% 3.05/1.56 = ( F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_152_case__prod__conv,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc1221696404e_fm_o @ F3 @ ( produc1710735575lle_fm @ A @ B ) )
% 3.05/1.56 = ( F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_153_case__prod__conv,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1882560353lle_tv @ F3 @ ( produc2058540732lle_tv @ A @ B ) )
% 3.05/1.56 = ( F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_154_case__prod__curry,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ( produc852673135e_tv_o @ ( produc621423502e_tv_o @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_155_case__prod__curry,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ( produc25129173e_tv_o @ ( produc2005494902e_tv_o @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_156_case__prod__curry,axiom,
% 3.05/1.56 ! [F3: produc1443694919lle_tv > produc696645085lle_fm] :
% 3.05/1.56 ( ( produc811245928lle_fm @ ( produc635060359lle_fm @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_157_case__prod__curry,axiom,
% 3.05/1.56 ! [F3: produc484385668lle_tv > $o] :
% 3.05/1.56 ( ( produc648306805e_tv_o @ ( produc1113543188e_tv_o @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_158_case__prod__curry,axiom,
% 3.05/1.56 ! [F3: produc696645085lle_fm > produc696645085lle_fm] :
% 3.05/1.56 ( ( produc427355858lle_fm @ ( produc251170289lle_fm @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_159_case__prod__curry,axiom,
% 3.05/1.56 ! [F3: produc696645085lle_fm > $o] :
% 3.05/1.56 ( ( produc1221696404e_fm_o @ ( produc275353523e_fm_o @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_160_case__prod__curry,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1882560353lle_tv @ ( produc724036226lle_tv @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_161_curry__case__prod,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o] :
% 3.05/1.56 ( ( produc621423502e_tv_o @ ( produc852673135e_tv_o @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_162_curry__case__prod,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ( produc2005494902e_tv_o @ ( produc25129173e_tv_o @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_163_curry__case__prod,axiom,
% 3.05/1.56 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm] :
% 3.05/1.56 ( ( produc635060359lle_fm @ ( produc811245928lle_fm @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_164_curry__case__prod,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ( produc1113543188e_tv_o @ ( produc648306805e_tv_o @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_165_curry__case__prod,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm] :
% 3.05/1.56 ( ( produc251170289lle_fm @ ( produc427355858lle_fm @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_166_curry__case__prod,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o] :
% 3.05/1.56 ( ( produc275353523e_fm_o @ ( produc1221696404e_fm_o @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_167_curry__case__prod,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc724036226lle_tv @ ( produc1882560353lle_tv @ F3 ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_168_case__swap,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,P2: produc696645085lle_fm] :
% 3.05/1.56 ( ( produc1244905514e_tv_o
% 3.05/1.56 @ ^ [Y5: paraco1604210848lle_fm,X5: list_char > paraco1605129243lle_tv] : ( F3 @ X5 @ Y5 )
% 3.05/1.56 @ ( produc1000205111lle_fm @ P2 ) )
% 3.05/1.56 = ( produc1221696404e_fm_o @ F3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_169_case__swap,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc25129173e_tv_o
% 3.05/1.56 @ ^ [Y5: paraco1605129243lle_tv,X5: paraco1605129243lle_tv] : ( F3 @ X5 @ Y5 )
% 3.05/1.56 @ ( produc211755292lle_tv @ P2 ) )
% 3.05/1.56 = ( produc25129173e_tv_o @ F3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_170_case__swap,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,P2: produc696645085lle_fm] :
% 3.05/1.56 ( ( produc811245928lle_fm
% 3.05/1.56 @ ^ [Y5: paraco1604210848lle_fm,X5: list_char > paraco1605129243lle_tv] : ( F3 @ X5 @ Y5 )
% 3.05/1.56 @ ( produc1000205111lle_fm @ P2 ) )
% 3.05/1.56 = ( produc427355858lle_fm @ F3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_171_case__swap,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,P2: produc484385668lle_tv] :
% 3.05/1.56 ( ( produc648306805e_tv_o
% 3.05/1.56 @ ^ [Y5: produc1647334210lle_tv,X5: produc1647334210lle_tv] : ( F3 @ X5 @ Y5 )
% 3.05/1.56 @ ( produc1733045910lle_tv @ P2 ) )
% 3.05/1.56 = ( produc648306805e_tv_o @ F3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_172_case__swap,axiom,
% 3.05/1.56 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,P2: produc1443694919lle_tv] :
% 3.05/1.56 ( ( produc427355858lle_fm
% 3.05/1.56 @ ^ [Y5: list_char > paraco1605129243lle_tv,X5: paraco1604210848lle_fm] : ( F3 @ X5 @ Y5 )
% 3.05/1.56 @ ( produc1232814113lle_tv @ P2 ) )
% 3.05/1.56 = ( produc811245928lle_fm @ F3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_173_case__swap,axiom,
% 3.05/1.56 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o,P2: produc1443694919lle_tv] :
% 3.05/1.56 ( ( produc1221696404e_fm_o
% 3.05/1.56 @ ^ [Y5: list_char > paraco1605129243lle_tv,X5: paraco1604210848lle_fm] : ( F3 @ X5 @ Y5 )
% 3.05/1.56 @ ( produc1232814113lle_tv @ P2 ) )
% 3.05/1.56 = ( produc1244905514e_tv_o @ F3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_174_case__swap,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc1882560353lle_tv
% 3.05/1.56 @ ^ [Y5: paraco1605129243lle_tv,X5: paraco1605129243lle_tv] : ( F3 @ X5 @ Y5 )
% 3.05/1.56 @ ( produc211755292lle_tv @ P2 ) )
% 3.05/1.56 = ( produc1882560353lle_tv @ F3 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_175_cond__case__prod__eta,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,G: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ ( produc2058540732lle_tv @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( produc25129173e_tv_o @ F3 )
% 3.05/1.56 = G ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_176_cond__case__prod__eta,axiom,
% 3.05/1.56 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,G: produc1443694919lle_tv > produc696645085lle_fm] :
% 3.05/1.56 ( ! [X: paraco1604210848lle_fm,Y4: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ ( produc1943344577lle_tv @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( produc811245928lle_fm @ F3 )
% 3.05/1.56 = G ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_177_cond__case__prod__eta,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,G: produc484385668lle_tv > $o] :
% 3.05/1.56 ( ! [X: produc1647334210lle_tv,Y4: produc1647334210lle_tv] :
% 3.05/1.56 ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ ( produc1537086518lle_tv @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( produc648306805e_tv_o @ F3 )
% 3.05/1.56 = G ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_178_cond__case__prod__eta,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,G: produc696645085lle_fm > produc696645085lle_fm] :
% 3.05/1.56 ( ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ ( produc1710735575lle_fm @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( produc427355858lle_fm @ F3 )
% 3.05/1.56 = G ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_179_cond__case__prod__eta,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,G: produc696645085lle_fm > $o] :
% 3.05/1.56 ( ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ ( produc1710735575lle_fm @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( produc1221696404e_fm_o @ F3 )
% 3.05/1.56 = G ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_180_cond__case__prod__eta,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,G: produc1647334210lle_tv > paraco1605129243lle_tv] :
% 3.05/1.56 ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ ( produc2058540732lle_tv @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( produc1882560353lle_tv @ F3 )
% 3.05/1.56 = G ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_181_case__prod__eta,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ( produc25129173e_tv_o
% 3.05/1.56 @ ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( F3 @ ( produc2058540732lle_tv @ X5 @ Y5 ) ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_182_case__prod__eta,axiom,
% 3.05/1.56 ! [F3: produc1443694919lle_tv > produc696645085lle_fm] :
% 3.05/1.56 ( ( produc811245928lle_fm
% 3.05/1.56 @ ^ [X5: paraco1604210848lle_fm,Y5: list_char > paraco1605129243lle_tv] : ( F3 @ ( produc1943344577lle_tv @ X5 @ Y5 ) ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_183_case__prod__eta,axiom,
% 3.05/1.56 ! [F3: produc484385668lle_tv > $o] :
% 3.05/1.56 ( ( produc648306805e_tv_o
% 3.05/1.56 @ ^ [X5: produc1647334210lle_tv,Y5: produc1647334210lle_tv] : ( F3 @ ( produc1537086518lle_tv @ X5 @ Y5 ) ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_184_case__prod__eta,axiom,
% 3.05/1.56 ! [F3: produc696645085lle_fm > produc696645085lle_fm] :
% 3.05/1.56 ( ( produc427355858lle_fm
% 3.05/1.56 @ ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( F3 @ ( produc1710735575lle_fm @ X5 @ Y5 ) ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_185_case__prod__eta,axiom,
% 3.05/1.56 ! [F3: produc696645085lle_fm > $o] :
% 3.05/1.56 ( ( produc1221696404e_fm_o
% 3.05/1.56 @ ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( F3 @ ( produc1710735575lle_fm @ X5 @ Y5 ) ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_186_case__prod__eta,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1882560353lle_tv
% 3.05/1.56 @ ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( F3 @ ( produc2058540732lle_tv @ X5 @ Y5 ) ) )
% 3.05/1.56 = F3 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_187_case__prodE2,axiom,
% 3.05/1.56 ! [Q3: ( produc1647334210lle_tv > $o ) > $o,P3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,Z: produc1647334210lle_tv] :
% 3.05/1.56 ( ( Q3 @ ( produc25129173e_tv_o @ P3 @ Z ) )
% 3.05/1.56 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( Z
% 3.05/1.56 = ( produc2058540732lle_tv @ X @ Y4 ) )
% 3.05/1.56 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_188_case__prodE2,axiom,
% 3.05/1.56 ! [Q3: produc696645085lle_fm > $o,P3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,Z: produc1443694919lle_tv] :
% 3.05/1.56 ( ( Q3 @ ( produc811245928lle_fm @ P3 @ Z ) )
% 3.05/1.56 => ~ ! [X: paraco1604210848lle_fm,Y4: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( Z
% 3.05/1.56 = ( produc1943344577lle_tv @ X @ Y4 ) )
% 3.05/1.56 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_189_case__prodE2,axiom,
% 3.05/1.56 ! [Q3: $o > $o,P3: produc1647334210lle_tv > produc1647334210lle_tv > $o,Z: produc484385668lle_tv] :
% 3.05/1.56 ( ( Q3 @ ( produc648306805e_tv_o @ P3 @ Z ) )
% 3.05/1.56 => ~ ! [X: produc1647334210lle_tv,Y4: produc1647334210lle_tv] :
% 3.05/1.56 ( ( Z
% 3.05/1.56 = ( produc1537086518lle_tv @ X @ Y4 ) )
% 3.05/1.56 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_190_case__prodE2,axiom,
% 3.05/1.56 ! [Q3: produc696645085lle_fm > $o,P3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,Z: produc696645085lle_fm] :
% 3.05/1.56 ( ( Q3 @ ( produc427355858lle_fm @ P3 @ Z ) )
% 3.05/1.56 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( Z
% 3.05/1.56 = ( produc1710735575lle_fm @ X @ Y4 ) )
% 3.05/1.56 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_191_case__prodE2,axiom,
% 3.05/1.56 ! [Q3: $o > $o,P3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,Z: produc696645085lle_fm] :
% 3.05/1.56 ( ( Q3 @ ( produc1221696404e_fm_o @ P3 @ Z ) )
% 3.05/1.56 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( Z
% 3.05/1.56 = ( produc1710735575lle_fm @ X @ Y4 ) )
% 3.05/1.56 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_192_case__prodE2,axiom,
% 3.05/1.56 ! [Q3: paraco1605129243lle_tv > $o,P3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Z: produc1647334210lle_tv] :
% 3.05/1.56 ( ( Q3 @ ( produc1882560353lle_tv @ P3 @ Z ) )
% 3.05/1.56 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( Z
% 3.05/1.56 = ( produc2058540732lle_tv @ X @ Y4 ) )
% 3.05/1.56 => ~ ( Q3 @ ( P3 @ X @ Y4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_193_curry__def,axiom,
% 3.05/1.56 ( produc621423502e_tv_o
% 3.05/1.56 = ( ^ [C3: produc1647334210lle_tv > $o,X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( C3 @ ( produc2058540732lle_tv @ X5 @ Y5 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_194_curry__def,axiom,
% 3.05/1.56 ( produc275353523e_fm_o
% 3.05/1.56 = ( ^ [C3: produc696645085lle_fm > $o,X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( C3 @ ( produc1710735575lle_fm @ X5 @ Y5 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_195_curry__def,axiom,
% 3.05/1.56 ( produc724036226lle_tv
% 3.05/1.56 = ( ^ [C3: produc1647334210lle_tv > paraco1605129243lle_tv,X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( C3 @ ( produc2058540732lle_tv @ X5 @ Y5 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_196_curry__K,axiom,
% 3.05/1.56 ! [C2: $o] :
% 3.05/1.56 ( ( produc621423502e_tv_o
% 3.05/1.56 @ ^ [X5: produc1647334210lle_tv] : C2 )
% 3.05/1.56 = ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : C2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_197_curry__K,axiom,
% 3.05/1.56 ! [C2: $o] :
% 3.05/1.56 ( ( produc275353523e_fm_o
% 3.05/1.56 @ ^ [X5: produc696645085lle_fm] : C2 )
% 3.05/1.56 = ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : C2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_198_curry__K,axiom,
% 3.05/1.56 ! [C2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc724036226lle_tv
% 3.05/1.56 @ ^ [X5: produc1647334210lle_tv] : C2 )
% 3.05/1.56 = ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : C2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_199_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: paraco1605129243lle_tv > produc1647334210lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod: produc1647334210lle_tv] :
% 3.05/1.56 ( ( H @ ( produc1882560353lle_tv @ F3 @ Prod ) )
% 3.05/1.56 = ( produc25129173e_tv_o
% 3.05/1.56 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_200_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: ( produc1647334210lle_tv > $o ) > paraco1605129243lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,Prod: produc1647334210lle_tv] :
% 3.05/1.56 ( ( H @ ( produc25129173e_tv_o @ F3 @ Prod ) )
% 3.05/1.56 = ( produc1882560353lle_tv
% 3.05/1.56 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_201_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: ( produc1647334210lle_tv > $o ) > produc1647334210lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,Prod: produc1647334210lle_tv] :
% 3.05/1.56 ( ( H @ ( produc25129173e_tv_o @ F3 @ Prod ) )
% 3.05/1.56 = ( produc25129173e_tv_o
% 3.05/1.56 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_202_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: produc696645085lle_fm > produc696645085lle_fm,F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,Prod: produc1443694919lle_tv] :
% 3.05/1.56 ( ( H @ ( produc811245928lle_fm @ F3 @ Prod ) )
% 3.05/1.56 = ( produc811245928lle_fm
% 3.05/1.56 @ ^ [X13: paraco1604210848lle_fm,X23: list_char > paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_203_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: $o > $o,F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,Prod: produc484385668lle_tv] :
% 3.05/1.56 ( ( H @ ( produc648306805e_tv_o @ F3 @ Prod ) )
% 3.05/1.56 = ( produc648306805e_tv_o
% 3.05/1.56 @ ^ [X13: produc1647334210lle_tv,X23: produc1647334210lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_204_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: produc696645085lle_fm > produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,Prod: produc696645085lle_fm] :
% 3.05/1.56 ( ( H @ ( produc427355858lle_fm @ F3 @ Prod ) )
% 3.05/1.56 = ( produc427355858lle_fm
% 3.05/1.56 @ ^ [X13: list_char > paraco1605129243lle_tv,X23: paraco1604210848lle_fm] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_205_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: produc696645085lle_fm > $o,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,Prod: produc696645085lle_fm] :
% 3.05/1.56 ( ( H @ ( produc427355858lle_fm @ F3 @ Prod ) )
% 3.05/1.56 = ( produc1221696404e_fm_o
% 3.05/1.56 @ ^ [X13: list_char > paraco1605129243lle_tv,X23: paraco1604210848lle_fm] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_206_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: $o > produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,Prod: produc696645085lle_fm] :
% 3.05/1.56 ( ( H @ ( produc1221696404e_fm_o @ F3 @ Prod ) )
% 3.05/1.56 = ( produc427355858lle_fm
% 3.05/1.56 @ ^ [X13: list_char > paraco1605129243lle_tv,X23: paraco1604210848lle_fm] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_207_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: $o > $o,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,Prod: produc696645085lle_fm] :
% 3.05/1.56 ( ( H @ ( produc1221696404e_fm_o @ F3 @ Prod ) )
% 3.05/1.56 = ( produc1221696404e_fm_o
% 3.05/1.56 @ ^ [X13: list_char > paraco1605129243lle_tv,X23: paraco1604210848lle_fm] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_208_prod_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: paraco1605129243lle_tv > paraco1605129243lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod: produc1647334210lle_tv] :
% 3.05/1.56 ( ( H @ ( produc1882560353lle_tv @ F3 @ Prod ) )
% 3.05/1.56 = ( produc1882560353lle_tv
% 3.05/1.56 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : ( H @ ( F3 @ X13 @ X23 ) )
% 3.05/1.56 @ Prod ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_209_internal__case__prod__def,axiom,
% 3.05/1.56 produc2050176383e_tv_o = produc25129173e_tv_o ).
% 3.05/1.56
% 3.05/1.56 thf(fact_210_internal__case__prod__def,axiom,
% 3.05/1.56 produc527953982lle_fm = produc811245928lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(fact_211_internal__case__prod__def,axiom,
% 3.05/1.56 produc323213387e_tv_o = produc648306805e_tv_o ).
% 3.05/1.56
% 3.05/1.56 thf(fact_212_internal__case__prod__def,axiom,
% 3.05/1.56 produc144063912lle_fm = produc427355858lle_fm ).
% 3.05/1.56
% 3.05/1.56 thf(fact_213_internal__case__prod__def,axiom,
% 3.05/1.56 produc1504058474e_fm_o = produc1221696404e_fm_o ).
% 3.05/1.56
% 3.05/1.56 thf(fact_214_internal__case__prod__def,axiom,
% 3.05/1.56 produc192124683lle_tv = produc1882560353lle_tv ).
% 3.05/1.56
% 3.05/1.56 thf(fact_215_tv_Ocase__distrib,axiom,
% 3.05/1.56 ! [H: paraco1605129243lle_tv > paraco1605129243lle_tv,F1: $o > paraco1605129243lle_tv,F2: nat > paraco1605129243lle_tv,Tv: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( H @ ( paraco2051596139lle_tv @ F1 @ F2 @ Tv ) )
% 3.05/1.56 = ( paraco2051596139lle_tv
% 3.05/1.56 @ ^ [X5: $o] : ( H @ ( F1 @ X5 ) )
% 3.05/1.56 @ ^ [X5: nat] : ( H @ ( F2 @ X5 ) )
% 3.05/1.56 @ Tv ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_216_old_Oprod_Ocase,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc25129173e_tv_o @ F3 @ ( produc2058540732lle_tv @ X1 @ X2 ) )
% 3.05/1.56 = ( F3 @ X1 @ X2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_217_old_Oprod_Ocase,axiom,
% 3.05/1.56 ! [F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,X1: paraco1604210848lle_fm,X2: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc811245928lle_fm @ F3 @ ( produc1943344577lle_tv @ X1 @ X2 ) )
% 3.05/1.56 = ( F3 @ X1 @ X2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_218_old_Oprod_Ocase,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,X1: produc1647334210lle_tv,X2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc648306805e_tv_o @ F3 @ ( produc1537086518lle_tv @ X1 @ X2 ) )
% 3.05/1.56 = ( F3 @ X1 @ X2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_219_old_Oprod_Ocase,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc427355858lle_fm @ F3 @ ( produc1710735575lle_fm @ X1 @ X2 ) )
% 3.05/1.56 = ( F3 @ X1 @ X2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_220_old_Oprod_Ocase,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc1221696404e_fm_o @ F3 @ ( produc1710735575lle_fm @ X1 @ X2 ) )
% 3.05/1.56 = ( F3 @ X1 @ X2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_221_old_Oprod_Ocase,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1882560353lle_tv @ F3 @ ( produc2058540732lle_tv @ X1 @ X2 ) )
% 3.05/1.56 = ( F3 @ X1 @ X2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_222_curryE,axiom,
% 3.05/1.56 ! [F3: produc1443694919lle_tv > $o,A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc298562633e_tv_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1943344577lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_223_curryE,axiom,
% 3.05/1.56 ! [F3: produc484385668lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc1113543188e_tv_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1537086518lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_224_curryE,axiom,
% 3.05/1.56 ! [F3: produc450659916lle_fm > $o,A: paraco1604210848lle_fm,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc1339594628e_fm_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1126104134lle_fm @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_225_curryE,axiom,
% 3.05/1.56 ! [F3: produc1250255278lle_fm > $o,A: produc696645085lle_fm,B: produc696645085lle_fm] :
% 3.05/1.56 ( ( produc408556266e_fm_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc407632608lle_fm @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_226_curryE,axiom,
% 3.05/1.56 ! [F3: produc1852595672lle_tv > $o,A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1667860344e_tv_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1297923922lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_227_curryE,axiom,
% 3.05/1.56 ! [F3: produc696645085lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc275353523e_fm_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1710735575lle_fm @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_228_curryE,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc621423502e_tv_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc2058540732lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_229_curryD,axiom,
% 3.05/1.56 ! [F3: produc1443694919lle_tv > $o,A: paraco1604210848lle_fm,B: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc298562633e_tv_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1943344577lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_230_curryD,axiom,
% 3.05/1.56 ! [F3: produc484385668lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc1113543188e_tv_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1537086518lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_231_curryD,axiom,
% 3.05/1.56 ! [F3: produc450659916lle_fm > $o,A: paraco1604210848lle_fm,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc1339594628e_fm_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1126104134lle_fm @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_232_curryD,axiom,
% 3.05/1.56 ! [F3: produc1250255278lle_fm > $o,A: produc696645085lle_fm,B: produc696645085lle_fm] :
% 3.05/1.56 ( ( produc408556266e_fm_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc407632608lle_fm @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_233_curryD,axiom,
% 3.05/1.56 ! [F3: produc1852595672lle_tv > $o,A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1667860344e_tv_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1297923922lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_234_curryD,axiom,
% 3.05/1.56 ! [F3: produc696645085lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc275353523e_fm_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc1710735575lle_fm @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_235_curryD,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc621423502e_tv_o @ F3 @ A @ B )
% 3.05/1.56 => ( F3 @ ( produc2058540732lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_236_split__cong,axiom,
% 3.05/1.56 ! [Q: produc1647334210lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,G: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc2058540732lle_tv @ X @ Y4 )
% 3.05/1.56 = Q )
% 3.05/1.56 => ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( P2 = Q )
% 3.05/1.56 => ( ( produc25129173e_tv_o @ F3 @ P2 )
% 3.05/1.56 = ( produc25129173e_tv_o @ G @ Q ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_237_split__cong,axiom,
% 3.05/1.56 ! [Q: produc1443694919lle_tv,F3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,G: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc696645085lle_fm,P2: produc1443694919lle_tv] :
% 3.05/1.56 ( ! [X: paraco1604210848lle_fm,Y4: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc1943344577lle_tv @ X @ Y4 )
% 3.05/1.56 = Q )
% 3.05/1.56 => ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( P2 = Q )
% 3.05/1.56 => ( ( produc811245928lle_fm @ F3 @ P2 )
% 3.05/1.56 = ( produc811245928lle_fm @ G @ Q ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_238_split__cong,axiom,
% 3.05/1.56 ! [Q: produc484385668lle_tv,F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,G: produc1647334210lle_tv > produc1647334210lle_tv > $o,P2: produc484385668lle_tv] :
% 3.05/1.56 ( ! [X: produc1647334210lle_tv,Y4: produc1647334210lle_tv] :
% 3.05/1.56 ( ( ( produc1537086518lle_tv @ X @ Y4 )
% 3.05/1.56 = Q )
% 3.05/1.56 => ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( P2 = Q )
% 3.05/1.56 => ( ( produc648306805e_tv_o @ F3 @ P2 )
% 3.05/1.56 = ( produc648306805e_tv_o @ G @ Q ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_239_split__cong,axiom,
% 3.05/1.56 ! [Q: produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,G: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm,P2: produc696645085lle_fm] :
% 3.05/1.56 ( ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( produc1710735575lle_fm @ X @ Y4 )
% 3.05/1.56 = Q )
% 3.05/1.56 => ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( P2 = Q )
% 3.05/1.56 => ( ( produc427355858lle_fm @ F3 @ P2 )
% 3.05/1.56 = ( produc427355858lle_fm @ G @ Q ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_240_split__cong,axiom,
% 3.05/1.56 ! [Q: produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,G: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,P2: produc696645085lle_fm] :
% 3.05/1.56 ( ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( produc1710735575lle_fm @ X @ Y4 )
% 3.05/1.56 = Q )
% 3.05/1.56 => ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( P2 = Q )
% 3.05/1.56 => ( ( produc1221696404e_fm_o @ F3 @ P2 )
% 3.05/1.56 = ( produc1221696404e_fm_o @ G @ Q ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_241_split__cong,axiom,
% 3.05/1.56 ! [Q: produc1647334210lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc2058540732lle_tv @ X @ Y4 )
% 3.05/1.56 = Q )
% 3.05/1.56 => ( ( F3 @ X @ Y4 )
% 3.05/1.56 = ( G @ X @ Y4 ) ) )
% 3.05/1.56 => ( ( P2 = Q )
% 3.05/1.56 => ( ( produc1882560353lle_tv @ F3 @ P2 )
% 3.05/1.56 = ( produc1882560353lle_tv @ G @ Q ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_242_case__bool__if,axiom,
% 3.05/1.56 ( produc234482697lle_tv
% 3.05/1.56 = ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv,P5: $o] : ( if_Par1134130401lle_tv @ P5 @ X5 @ Y5 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_243_case__prod__app,axiom,
% 3.05/1.56 ( produc25129173e_tv_o
% 3.05/1.56 = ( ^ [F: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o,X5: produc1647334210lle_tv,Y5: produc1647334210lle_tv] :
% 3.05/1.56 ( produc852673135e_tv_o
% 3.05/1.56 @ ^ [L: paraco1605129243lle_tv,R3: paraco1605129243lle_tv] : ( F @ L @ R3 @ Y5 )
% 3.05/1.56 @ X5 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_244_pred__equals__eq2,axiom,
% 3.05/1.56 ! [R2: set_Pr1723822845lle_tv,S4: set_Pr1723822845lle_tv] :
% 3.05/1.56 ( ( ( ^ [X5: paraco1604210848lle_fm,Y5: list_char > paraco1605129243lle_tv] : ( member74361182lle_tv @ ( produc1943344577lle_tv @ X5 @ Y5 ) @ R2 ) )
% 3.05/1.56 = ( ^ [X5: paraco1604210848lle_fm,Y5: list_char > paraco1605129243lle_tv] : ( member74361182lle_tv @ ( produc1943344577lle_tv @ X5 @ Y5 ) @ S4 ) ) )
% 3.05/1.56 = ( R2 = S4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_245_pred__equals__eq2,axiom,
% 3.05/1.56 ! [R2: set_Pr2012908090lle_tv,S4: set_Pr2012908090lle_tv] :
% 3.05/1.56 ( ( ( ^ [X5: produc1647334210lle_tv,Y5: produc1647334210lle_tv] : ( member1074212123lle_tv @ ( produc1537086518lle_tv @ X5 @ Y5 ) @ R2 ) )
% 3.05/1.56 = ( ^ [X5: produc1647334210lle_tv,Y5: produc1647334210lle_tv] : ( member1074212123lle_tv @ ( produc1537086518lle_tv @ X5 @ Y5 ) @ S4 ) ) )
% 3.05/1.56 = ( R2 = S4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_246_pred__equals__eq2,axiom,
% 3.05/1.56 ! [R2: set_Pr1019238018lle_fm,S4: set_Pr1019238018lle_fm] :
% 3.05/1.56 ( ( ( ^ [X5: paraco1604210848lle_fm,Y5: paraco1604210848lle_fm] : ( member334644067lle_fm @ ( produc1126104134lle_fm @ X5 @ Y5 ) @ R2 ) )
% 3.05/1.56 = ( ^ [X5: paraco1604210848lle_fm,Y5: paraco1604210848lle_fm] : ( member334644067lle_fm @ ( produc1126104134lle_fm @ X5 @ Y5 ) @ S4 ) ) )
% 3.05/1.56 = ( R2 = S4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_247_pred__equals__eq2,axiom,
% 3.05/1.56 ! [R2: set_Pr1475944804lle_fm,S4: set_Pr1475944804lle_fm] :
% 3.05/1.56 ( ( ( ^ [X5: produc696645085lle_fm,Y5: produc696645085lle_fm] : ( member1592865093lle_fm @ ( produc407632608lle_fm @ X5 @ Y5 ) @ R2 ) )
% 3.05/1.56 = ( ^ [X5: produc696645085lle_fm,Y5: produc696645085lle_fm] : ( member1592865093lle_fm @ ( produc407632608lle_fm @ X5 @ Y5 ) @ S4 ) ) )
% 3.05/1.56 = ( R2 = S4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_248_pred__equals__eq2,axiom,
% 3.05/1.56 ! [R2: set_Pr2061825550lle_tv,S4: set_Pr2061825550lle_tv] :
% 3.05/1.56 ( ( ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: list_char > paraco1605129243lle_tv] : ( member146333935lle_tv @ ( produc1297923922lle_tv @ X5 @ Y5 ) @ R2 ) )
% 3.05/1.56 = ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: list_char > paraco1605129243lle_tv] : ( member146333935lle_tv @ ( produc1297923922lle_tv @ X5 @ Y5 ) @ S4 ) ) )
% 3.05/1.56 = ( R2 = S4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_249_pred__equals__eq2,axiom,
% 3.05/1.56 ! [R2: set_Pr2120184979lle_fm,S4: set_Pr2120184979lle_fm] :
% 3.05/1.56 ( ( ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X5 @ Y5 ) @ R2 ) )
% 3.05/1.56 = ( ^ [X5: list_char > paraco1605129243lle_tv,Y5: paraco1604210848lle_fm] : ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X5 @ Y5 ) @ S4 ) ) )
% 3.05/1.56 = ( R2 = S4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_250_pred__equals__eq2,axiom,
% 3.05/1.56 ! [R2: set_Pr2014382200lle_tv,S4: set_Pr2014382200lle_tv] :
% 3.05/1.56 ( ( ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X5 @ Y5 ) @ R2 ) )
% 3.05/1.56 = ( ^ [X5: paraco1605129243lle_tv,Y5: paraco1605129243lle_tv] : ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X5 @ Y5 ) @ S4 ) ) )
% 3.05/1.56 = ( R2 = S4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_251_pair__imageI,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ A2 )
% 3.05/1.56 => ( member266900804lle_tv @ ( F3 @ A @ B ) @ ( image_1263514817lle_tv @ ( produc1882560353lle_tv @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_252_pair__imageI,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ A2 )
% 3.05/1.56 => ( member894927066lle_tv @ ( F3 @ A @ B ) @ ( image_1070648001lle_tv @ ( produc1370344801lle_tv @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_253_pair__imageI,axiom,
% 3.05/1.56 ! [A: paraco1604210848lle_fm,B: paraco1604210848lle_fm,A2: set_Pr1019238018lle_fm,F3: paraco1604210848lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member334644067lle_fm @ ( produc1126104134lle_fm @ A @ B ) @ A2 )
% 3.05/1.56 => ( member894927066lle_tv @ ( F3 @ A @ B ) @ ( image_496052427lle_tv @ ( produc1629543915lle_tv @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_254_pair__imageI,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ A2 )
% 3.05/1.56 => ( member_o @ ( F3 @ A @ B ) @ ( image_1402739636e_fm_o @ ( produc1221696404e_fm_o @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_255_pair__imageI,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ A2 )
% 3.05/1.56 => ( member1832524214e_tv_o @ ( F3 @ A @ B ) @ ( image_1015627317e_tv_o @ ( produc25129173e_tv_o @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_256_pair__imageI,axiom,
% 3.05/1.56 ! [A: produc1647334210lle_tv,B: produc1647334210lle_tv,A2: set_Pr2012908090lle_tv,F3: produc1647334210lle_tv > produc1647334210lle_tv > $o] :
% 3.05/1.56 ( ( member1074212123lle_tv @ ( produc1537086518lle_tv @ A @ B ) @ A2 )
% 3.05/1.56 => ( member_o @ ( F3 @ A @ B ) @ ( image_1610089293e_tv_o @ ( produc648306805e_tv_o @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_257_pair__imageI,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc1647334210lle_tv] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ A2 )
% 3.05/1.56 => ( member1531318361lle_tv @ ( F3 @ A @ B ) @ ( image_1110913773lle_tv @ ( produc401650381lle_tv @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_258_pair__imageI,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > produc696645085lle_fm] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ A2 )
% 3.05/1.56 => ( member1474794996lle_fm @ ( F3 @ A @ B ) @ ( image_937396045lle_fm @ ( produc377990317lle_fm @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_259_pair__imageI,axiom,
% 3.05/1.56 ! [A: paraco1604210848lle_fm,B: paraco1604210848lle_fm,A2: set_Pr1019238018lle_fm,F3: paraco1604210848lle_fm > paraco1604210848lle_fm > produc696645085lle_fm] :
% 3.05/1.56 ( ( member334644067lle_fm @ ( produc1126104134lle_fm @ A @ B ) @ A2 )
% 3.05/1.56 => ( member1474794996lle_fm @ ( F3 @ A @ B ) @ ( image_1662022595lle_fm @ ( produc182748835lle_fm @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_260_pair__imageI,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ A2 )
% 3.05/1.56 => ( member894927066lle_tv @ ( F3 @ A @ B ) @ ( image_305309148lle_tv @ ( produc1949847036lle_tv @ F3 ) @ A2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_261_case__prodI,axiom,
% 3.05/1.56 ! [F3: produc696645085lle_fm > produc696645085lle_fm > $o,A: produc696645085lle_fm,B: produc696645085lle_fm] :
% 3.05/1.56 ( ( F3 @ A @ B )
% 3.05/1.56 => ( produc1234307915e_fm_o @ F3 @ ( produc407632608lle_fm @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_262_case__prodI,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > $o,A: list_char > paraco1605129243lle_tv,B: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( F3 @ A @ B )
% 3.05/1.56 => ( produc101320793e_tv_o @ F3 @ ( produc1297923922lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_263_case__prodI,axiom,
% 3.05/1.56 ! [F3: produc1647334210lle_tv > produc1647334210lle_tv > $o,A: produc1647334210lle_tv,B: produc1647334210lle_tv] :
% 3.05/1.56 ( ( F3 @ A @ B )
% 3.05/1.56 => ( produc648306805e_tv_o @ F3 @ ( produc1537086518lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_264_case__prodI,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( F3 @ A @ B )
% 3.05/1.56 => ( produc1221696404e_fm_o @ F3 @ ( produc1710735575lle_fm @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_265_case__prodI,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( F3 @ A @ B )
% 3.05/1.56 => ( produc852673135e_tv_o @ F3 @ ( produc2058540732lle_tv @ A @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_266_case__prodI2,axiom,
% 3.05/1.56 ! [P2: produc696645085lle_fm,C2: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o] :
% 3.05/1.56 ( ! [A4: list_char > paraco1605129243lle_tv,B3: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( P2
% 3.05/1.56 = ( produc1710735575lle_fm @ A4 @ B3 ) )
% 3.05/1.56 => ( C2 @ A4 @ B3 ) )
% 3.05/1.56 => ( produc1221696404e_fm_o @ C2 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_267_case__prodI2,axiom,
% 3.05/1.56 ! [P2: produc1647334210lle_tv,C2: paraco1605129243lle_tv > paraco1605129243lle_tv > $o] :
% 3.05/1.56 ( ! [A4: paraco1605129243lle_tv,B3: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( P2
% 3.05/1.56 = ( produc2058540732lle_tv @ A4 @ B3 ) )
% 3.05/1.56 => ( C2 @ A4 @ B3 ) )
% 3.05/1.56 => ( produc852673135e_tv_o @ C2 @ P2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_268_pair__in__swap__image,axiom,
% 3.05/1.56 ! [Y: paraco1604210848lle_fm,X4: list_char > paraco1605129243lle_tv,A2: set_Pr2120184979lle_fm] :
% 3.05/1.56 ( ( member74361182lle_tv @ ( produc1943344577lle_tv @ Y @ X4 ) @ ( image_924970994lle_tv @ produc1000205111lle_fm @ A2 ) )
% 3.05/1.56 = ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) @ A2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_269_pair__in__swap__image,axiom,
% 3.05/1.56 ! [Y: list_char > paraco1605129243lle_tv,X4: paraco1604210848lle_fm,A2: set_Pr1723822845lle_tv] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ Y @ X4 ) @ ( image_326034184lle_fm @ produc1232814113lle_tv @ A2 ) )
% 3.05/1.56 = ( member74361182lle_tv @ ( produc1943344577lle_tv @ X4 @ Y ) @ A2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_270_pair__in__swap__image,axiom,
% 3.05/1.56 ! [Y: paraco1605129243lle_tv,X4: paraco1605129243lle_tv,A2: set_Pr2014382200lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ Y @ X4 ) @ ( image_1221801032lle_tv @ produc211755292lle_tv @ A2 ) )
% 3.05/1.56 = ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) @ A2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_271_case__prod__Pair__iden,axiom,
% 3.05/1.56 ! [P2: produc696645085lle_fm] :
% 3.05/1.56 ( ( produc427355858lle_fm @ produc1710735575lle_fm @ P2 )
% 3.05/1.56 = P2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_272_case__prod__Pair__iden,axiom,
% 3.05/1.56 ! [P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc942307752lle_tv @ produc2058540732lle_tv @ P2 )
% 3.05/1.56 = P2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_273_case__prodD,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc1221696404e_fm_o @ F3 @ ( produc1710735575lle_fm @ A @ B ) )
% 3.05/1.56 => ( F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_274_case__prodD,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc852673135e_tv_o @ F3 @ ( produc2058540732lle_tv @ A @ B ) )
% 3.05/1.56 => ( F3 @ A @ B ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_275_case__prodE,axiom,
% 3.05/1.56 ! [C2: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,P2: produc696645085lle_fm] :
% 3.05/1.56 ( ( produc1221696404e_fm_o @ C2 @ P2 )
% 3.05/1.56 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( P2
% 3.05/1.56 = ( produc1710735575lle_fm @ X @ Y4 ) )
% 3.05/1.56 => ~ ( C2 @ X @ Y4 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_276_case__prodE,axiom,
% 3.05/1.56 ! [C2: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc852673135e_tv_o @ C2 @ P2 )
% 3.05/1.56 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( P2
% 3.05/1.56 = ( produc2058540732lle_tv @ X @ Y4 ) )
% 3.05/1.56 => ~ ( C2 @ X @ Y4 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_277_swap__product,axiom,
% 3.05/1.56 ! [A2: set_Pa1499417344lle_fm,B5: set_li72793489lle_tv] :
% 3.05/1.56 ( ( image_326034184lle_fm
% 3.05/1.56 @ ( produc811245928lle_fm
% 3.05/1.56 @ ^ [I: paraco1604210848lle_fm,J: list_char > paraco1605129243lle_tv] : ( produc1710735575lle_fm @ J @ I ) )
% 3.05/1.56 @ ( produc559987792lle_tv @ A2
% 3.05/1.56 @ ^ [Uu: paraco1604210848lle_fm] : B5 ) )
% 3.05/1.56 = ( produc327378790lle_fm @ B5
% 3.05/1.56 @ ^ [Uu: list_char > paraco1605129243lle_tv] : A2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_278_swap__product,axiom,
% 3.05/1.56 ! [A2: set_Pa1764573435lle_tv,B5: set_Pa1764573435lle_tv] :
% 3.05/1.56 ( ( image_1221801032lle_tv
% 3.05/1.56 @ ( produc942307752lle_tv
% 3.05/1.56 @ ^ [I: paraco1605129243lle_tv,J: paraco1605129243lle_tv] : ( produc2058540732lle_tv @ J @ I ) )
% 3.05/1.56 @ ( produc479904331lle_tv @ A2
% 3.05/1.56 @ ^ [Uu: paraco1605129243lle_tv] : B5 ) )
% 3.05/1.56 = ( produc479904331lle_tv @ B5
% 3.05/1.56 @ ^ [Uu: paraco1605129243lle_tv] : A2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_279_SigmaI,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,A2: set_li72793489lle_tv,B: paraco1604210848lle_fm,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 3.05/1.56 ( ( member894927066lle_tv @ A @ A2 )
% 3.05/1.56 => ( ( member265982409lle_fm @ B @ ( B5 @ A ) )
% 3.05/1.56 => ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_280_SigmaI,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B: paraco1605129243lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 3.05/1.56 ( ( member266900804lle_tv @ A @ A2 )
% 3.05/1.56 => ( ( member266900804lle_tv @ B @ ( B5 @ A ) )
% 3.05/1.56 => ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_281_mem__Sigma__iff,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 3.05/1.56 = ( ( member894927066lle_tv @ A @ A2 )
% 3.05/1.56 & ( member265982409lle_fm @ B @ ( B5 @ A ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_282_mem__Sigma__iff,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 3.05/1.56 = ( ( member266900804lle_tv @ A @ A2 )
% 3.05/1.56 & ( member266900804lle_tv @ B @ ( B5 @ A ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_283_in__inv__image,axiom,
% 3.05/1.56 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,R: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) @ ( inv_im719552961lle_tv @ R @ F3 ) )
% 3.05/1.56 = ( member1531318361lle_tv @ ( produc2058540732lle_tv @ ( F3 @ X4 ) @ ( F3 @ Y ) ) @ R ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_284_same__fstI,axiom,
% 3.05/1.56 ! [P3: ( list_char > paraco1605129243lle_tv ) > $o,X4: list_char > paraco1605129243lle_tv,Y6: paraco1604210848lle_fm,Y: paraco1604210848lle_fm,R2: ( list_char > paraco1605129243lle_tv ) > set_Pr1019238018lle_fm] :
% 3.05/1.56 ( ( P3 @ X4 )
% 3.05/1.56 => ( ( member334644067lle_fm @ ( produc1126104134lle_fm @ Y6 @ Y ) @ ( R2 @ X4 ) )
% 3.05/1.56 => ( member1592865093lle_fm @ ( produc407632608lle_fm @ ( produc1710735575lle_fm @ X4 @ Y6 ) @ ( produc1710735575lle_fm @ X4 @ Y ) ) @ ( same_f1581085506lle_fm @ P3 @ R2 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_285_same__fstI,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > $o,X4: paraco1605129243lle_tv,Y6: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,R2: paraco1605129243lle_tv > set_Pr2014382200lle_tv] :
% 3.05/1.56 ( ( P3 @ X4 )
% 3.05/1.56 => ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ Y6 @ Y ) @ ( R2 @ X4 ) )
% 3.05/1.56 => ( member1074212123lle_tv @ ( produc1537086518lle_tv @ ( produc2058540732lle_tv @ X4 @ Y6 ) @ ( produc2058540732lle_tv @ X4 @ Y ) ) @ ( same_f1119076903lle_tv @ P3 @ R2 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_286_SigmaE,axiom,
% 3.05/1.56 ! [C2: produc696645085lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 3.05/1.56 ( ( member1474794996lle_fm @ C2 @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 3.05/1.56 => ~ ! [X: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member894927066lle_tv @ X @ A2 )
% 3.05/1.56 => ! [Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( member265982409lle_fm @ Y4 @ ( B5 @ X ) )
% 3.05/1.56 => ( C2
% 3.05/1.56 != ( produc1710735575lle_fm @ X @ Y4 ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_287_SigmaE,axiom,
% 3.05/1.56 ! [C2: produc1647334210lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ C2 @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 3.05/1.56 => ~ ! [X: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member266900804lle_tv @ X @ A2 )
% 3.05/1.56 => ! [Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member266900804lle_tv @ Y4 @ ( B5 @ X ) )
% 3.05/1.56 => ( C2
% 3.05/1.56 != ( produc2058540732lle_tv @ X @ Y4 ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_288_SigmaD1,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 3.05/1.56 => ( member894927066lle_tv @ A @ A2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_289_SigmaD1,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 3.05/1.56 => ( member266900804lle_tv @ A @ A2 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_290_SigmaD2,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 3.05/1.56 => ( member265982409lle_fm @ B @ ( B5 @ A ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_291_SigmaD2,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 3.05/1.56 => ( member266900804lle_tv @ B @ ( B5 @ A ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_292_SigmaE2,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A2: set_li72793489lle_tv,B5: ( list_char > paraco1605129243lle_tv ) > set_Pa1499417344lle_fm] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc327378790lle_fm @ A2 @ B5 ) )
% 3.05/1.56 => ~ ( ( member894927066lle_tv @ A @ A2 )
% 3.05/1.56 => ~ ( member265982409lle_fm @ B @ ( B5 @ A ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_293_SigmaE2,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A2: set_Pa1764573435lle_tv,B5: paraco1605129243lle_tv > set_Pa1764573435lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc479904331lle_tv @ A2 @ B5 ) )
% 3.05/1.56 => ~ ( ( member266900804lle_tv @ A @ A2 )
% 3.05/1.56 => ~ ( member266900804lle_tv @ B @ ( B5 @ A ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_294_lex__prod__def,axiom,
% 3.05/1.56 ( lex_pr567812260lle_tv
% 3.05/1.56 = ( ^ [Ra: set_Pr2014382200lle_tv,Rb: set_Pr2014382200lle_tv] :
% 3.05/1.56 ( collec1900284505lle_tv
% 3.05/1.56 @ ( produc648306805e_tv_o
% 3.05/1.56 @ ( produc25129173e_tv_o
% 3.05/1.56 @ ^ [A5: paraco1605129243lle_tv,B4: paraco1605129243lle_tv] :
% 3.05/1.56 ( produc852673135e_tv_o
% 3.05/1.56 @ ^ [A6: paraco1605129243lle_tv,B6: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A5 @ A6 ) @ Ra )
% 3.05/1.56 | ( ( A5 = A6 )
% 3.05/1.56 & ( member1531318361lle_tv @ ( produc2058540732lle_tv @ B4 @ B6 ) @ Rb ) ) ) ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_295_in__lex__prod,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,A3: list_char > paraco1605129243lle_tv,B2: paraco1604210848lle_fm,R: set_Pr2061825550lle_tv,S: set_Pr1019238018lle_fm] :
% 3.05/1.56 ( ( member1592865093lle_fm @ ( produc407632608lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ ( produc1710735575lle_fm @ A3 @ B2 ) ) @ ( lex_pr2001015487lle_fm @ R @ S ) )
% 3.05/1.56 = ( ( member146333935lle_tv @ ( produc1297923922lle_tv @ A @ A3 ) @ R )
% 3.05/1.56 | ( ( A = A3 )
% 3.05/1.56 & ( member334644067lle_fm @ ( produc1126104134lle_fm @ B @ B2 ) @ S ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_296_in__lex__prod,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,A3: paraco1605129243lle_tv,B2: paraco1605129243lle_tv,R: set_Pr2014382200lle_tv,S: set_Pr2014382200lle_tv] :
% 3.05/1.56 ( ( member1074212123lle_tv @ ( produc1537086518lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ ( produc2058540732lle_tv @ A3 @ B2 ) ) @ ( lex_pr567812260lle_tv @ R @ S ) )
% 3.05/1.56 = ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ A3 ) @ R )
% 3.05/1.56 | ( ( A = A3 )
% 3.05/1.56 & ( member1531318361lle_tv @ ( produc2058540732lle_tv @ B @ B2 ) @ S ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_297_relation__of__def,axiom,
% 3.05/1.56 ( order_1215526505lle_tv
% 3.05/1.56 = ( ^ [P5: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,A7: set_Pa1764573435lle_tv] :
% 3.05/1.56 ( collec15260823lle_tv
% 3.05/1.56 @ ( produc852673135e_tv_o
% 3.05/1.56 @ ^ [A5: paraco1605129243lle_tv,B4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A5 @ B4 )
% 3.05/1.56 @ ( produc479904331lle_tv @ A7
% 3.05/1.56 @ ^ [Uu: paraco1605129243lle_tv] : A7 ) )
% 3.05/1.56 & ( P5 @ A5 @ B4 ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_298_map__prod__simp,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1604210848lle_fm,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc1900967599lle_fm @ F3 @ G @ ( produc1710735575lle_fm @ A @ B ) )
% 3.05/1.56 = ( produc1710735575lle_fm @ ( F3 @ A ) @ ( G @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_299_map__prod__simp,axiom,
% 3.05/1.56 ! [F3: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1605129243lle_tv,A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc918997546lle_tv @ F3 @ G @ ( produc1710735575lle_fm @ A @ B ) )
% 3.05/1.56 = ( produc2058540732lle_tv @ ( F3 @ A ) @ ( G @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_300_map__prod__simp,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > list_char > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1604210848lle_fm,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc2008706836lle_fm @ F3 @ G @ ( produc2058540732lle_tv @ A @ B ) )
% 3.05/1.56 = ( produc1710735575lle_fm @ ( F3 @ A ) @ ( G @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_301_map__prod__simp,axiom,
% 3.05/1.56 ! [F3: paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv,A: paraco1605129243lle_tv,B: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1345917071lle_tv @ F3 @ G @ ( produc2058540732lle_tv @ A @ B ) )
% 3.05/1.56 = ( produc2058540732lle_tv @ ( F3 @ A ) @ ( G @ B ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_302_map__prod__imageI,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,R2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1604210848lle_fm] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ R2 )
% 3.05/1.56 => ( member1474794996lle_fm @ ( produc1710735575lle_fm @ ( F3 @ A ) @ ( G @ B ) ) @ ( image_807538418lle_fm @ ( produc1900967599lle_fm @ F3 @ G ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_303_map__prod__imageI,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,B: paraco1604210848lle_fm,R2: set_Pr2120184979lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member1474794996lle_fm @ ( produc1710735575lle_fm @ A @ B ) @ R2 )
% 3.05/1.56 => ( member1531318361lle_tv @ ( produc2058540732lle_tv @ ( F3 @ A ) @ ( G @ B ) ) @ ( image_1110913773lle_tv @ ( produc918997546lle_tv @ F3 @ G ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_304_map__prod__imageI,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,R2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > list_char > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1604210848lle_fm] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ R2 )
% 3.05/1.56 => ( member1474794996lle_fm @ ( produc1710735575lle_fm @ ( F3 @ A ) @ ( G @ B ) ) @ ( image_937396045lle_fm @ ( produc2008706836lle_fm @ F3 @ G ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_305_map__prod__imageI,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,B: paraco1605129243lle_tv,R2: set_Pr2014382200lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A @ B ) @ R2 )
% 3.05/1.56 => ( member1531318361lle_tv @ ( produc2058540732lle_tv @ ( F3 @ A ) @ ( G @ B ) ) @ ( image_1221801032lle_tv @ ( produc1345917071lle_tv @ F3 @ G ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_306_case__prod__map__prod,axiom,
% 3.05/1.56 ! [H: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv,X4: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc1882560353lle_tv @ H @ ( produc1345917071lle_tv @ F3 @ G @ X4 ) )
% 3.05/1.56 = ( produc1882560353lle_tv
% 3.05/1.56 @ ^ [L: paraco1605129243lle_tv,R3: paraco1605129243lle_tv] : ( H @ ( F3 @ L ) @ ( G @ R3 ) )
% 3.05/1.56 @ X4 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_307_prod__fun__imageE,axiom,
% 3.05/1.56 ! [C2: produc696645085lle_fm,F3: ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1604210848lle_fm,R2: set_Pr2120184979lle_fm] :
% 3.05/1.56 ( ( member1474794996lle_fm @ C2 @ ( image_807538418lle_fm @ ( produc1900967599lle_fm @ F3 @ G ) @ R2 ) )
% 3.05/1.56 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( C2
% 3.05/1.56 = ( produc1710735575lle_fm @ ( F3 @ X ) @ ( G @ Y4 ) ) )
% 3.05/1.56 => ~ ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X @ Y4 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_308_prod__fun__imageE,axiom,
% 3.05/1.56 ! [C2: produc696645085lle_fm,F3: paraco1605129243lle_tv > list_char > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1604210848lle_fm,R2: set_Pr2014382200lle_tv] :
% 3.05/1.56 ( ( member1474794996lle_fm @ C2 @ ( image_937396045lle_fm @ ( produc2008706836lle_fm @ F3 @ G ) @ R2 ) )
% 3.05/1.56 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( C2
% 3.05/1.56 = ( produc1710735575lle_fm @ ( F3 @ X ) @ ( G @ Y4 ) ) )
% 3.05/1.56 => ~ ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X @ Y4 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_309_prod__fun__imageE,axiom,
% 3.05/1.56 ! [C2: produc1647334210lle_tv,F3: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv,G: paraco1604210848lle_fm > paraco1605129243lle_tv,R2: set_Pr2120184979lle_fm] :
% 3.05/1.56 ( ( member1531318361lle_tv @ C2 @ ( image_1110913773lle_tv @ ( produc918997546lle_tv @ F3 @ G ) @ R2 ) )
% 3.05/1.56 => ~ ! [X: list_char > paraco1605129243lle_tv,Y4: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( C2
% 3.05/1.56 = ( produc2058540732lle_tv @ ( F3 @ X ) @ ( G @ Y4 ) ) )
% 3.05/1.56 => ~ ( member1474794996lle_fm @ ( produc1710735575lle_fm @ X @ Y4 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_310_prod__fun__imageE,axiom,
% 3.05/1.56 ! [C2: produc1647334210lle_tv,F3: paraco1605129243lle_tv > paraco1605129243lle_tv,G: paraco1605129243lle_tv > paraco1605129243lle_tv,R2: set_Pr2014382200lle_tv] :
% 3.05/1.56 ( ( member1531318361lle_tv @ C2 @ ( image_1221801032lle_tv @ ( produc1345917071lle_tv @ F3 @ G ) @ R2 ) )
% 3.05/1.56 => ~ ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( C2
% 3.05/1.56 = ( produc2058540732lle_tv @ ( F3 @ X ) @ ( G @ Y4 ) ) )
% 3.05/1.56 => ~ ( member1531318361lle_tv @ ( produc2058540732lle_tv @ X @ Y4 ) @ R2 ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_311_aboveS__def,axiom,
% 3.05/1.56 ( order_1376767238lle_tv
% 3.05/1.56 = ( ^ [R3: set_Pr2014382200lle_tv,A5: paraco1605129243lle_tv] :
% 3.05/1.56 ( collec1111687558lle_tv
% 3.05/1.56 @ ^ [B4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( B4 != A5 )
% 3.05/1.56 & ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A5 @ B4 ) @ R3 ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_312_above__def,axiom,
% 3.05/1.56 ( order_1434492699lle_tv
% 3.05/1.56 = ( ^ [R3: set_Pr2014382200lle_tv,A5: paraco1605129243lle_tv] :
% 3.05/1.56 ( collec1111687558lle_tv
% 3.05/1.56 @ ^ [B4: paraco1605129243lle_tv] : ( member1531318361lle_tv @ ( produc2058540732lle_tv @ A5 @ B4 ) @ R3 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_313_The__split__eq,axiom,
% 3.05/1.56 ! [X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( the_Pr1724341910lle_fm
% 3.05/1.56 @ ( produc1221696404e_fm_o
% 3.05/1.56 @ ^ [X6: list_char > paraco1605129243lle_tv,Y7: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( X4 = X6 )
% 3.05/1.56 & ( Y = Y7 ) ) ) )
% 3.05/1.56 = ( produc1710735575lle_fm @ X4 @ Y ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_314_The__split__eq,axiom,
% 3.05/1.56 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( the_Pr304385787lle_tv
% 3.05/1.56 @ ( produc852673135e_tv_o
% 3.05/1.56 @ ^ [X6: paraco1605129243lle_tv,Y7: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( X4 = X6 )
% 3.05/1.56 & ( Y = Y7 ) ) ) )
% 3.05/1.56 = ( produc2058540732lle_tv @ X4 @ Y ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_315_fst__eqD,axiom,
% 3.05/1.56 ! [X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm,A: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc29804011lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) )
% 3.05/1.56 = A )
% 3.05/1.56 => ( X4 = A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_316_fst__eqD,axiom,
% 3.05/1.56 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,A: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc488585168lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) )
% 3.05/1.56 = A )
% 3.05/1.56 => ( X4 = A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_317_fst__conv,axiom,
% 3.05/1.56 ! [X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc29804011lle_fm @ ( produc1710735575lle_fm @ X1 @ X2 ) )
% 3.05/1.56 = X1 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_318_fst__conv,axiom,
% 3.05/1.56 ! [X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc488585168lle_tv @ ( produc2058540732lle_tv @ X1 @ X2 ) )
% 3.05/1.56 = X1 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_319_fst__def,axiom,
% 3.05/1.56 ( produc488585168lle_tv
% 3.05/1.56 = ( produc1882560353lle_tv
% 3.05/1.56 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : X13 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_320_eq__fst__iff,axiom,
% 3.05/1.56 ! [A: list_char > paraco1605129243lle_tv,P2: produc696645085lle_fm] :
% 3.05/1.56 ( ( A
% 3.05/1.56 = ( produc29804011lle_fm @ P2 ) )
% 3.05/1.56 = ( ? [B4: paraco1604210848lle_fm] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc1710735575lle_fm @ A @ B4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_321_eq__fst__iff,axiom,
% 3.05/1.56 ! [A: paraco1605129243lle_tv,P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( A
% 3.05/1.56 = ( produc488585168lle_tv @ P2 ) )
% 3.05/1.56 = ( ? [B4: paraco1605129243lle_tv] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc2058540732lle_tv @ A @ B4 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_322_fstI,axiom,
% 3.05/1.56 ! [X4: produc696645085lle_fm,Y: list_char > paraco1605129243lle_tv,Z: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( X4
% 3.05/1.56 = ( produc1710735575lle_fm @ Y @ Z ) )
% 3.05/1.56 => ( ( produc29804011lle_fm @ X4 )
% 3.05/1.56 = Y ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_323_fstI,axiom,
% 3.05/1.56 ! [X4: produc1647334210lle_tv,Y: paraco1605129243lle_tv,Z: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( X4
% 3.05/1.56 = ( produc2058540732lle_tv @ Y @ Z ) )
% 3.05/1.56 => ( ( produc488585168lle_tv @ X4 )
% 3.05/1.56 = Y ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_324_prod_Ocollapse,axiom,
% 3.05/1.56 ! [Prod: produc696645085lle_fm] :
% 3.05/1.56 ( ( produc1710735575lle_fm @ ( produc29804011lle_fm @ Prod ) @ ( produc148705065lle_fm @ Prod ) )
% 3.05/1.56 = Prod ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_325_prod_Ocollapse,axiom,
% 3.05/1.56 ! [Prod: produc1647334210lle_tv] :
% 3.05/1.56 ( ( produc2058540732lle_tv @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) )
% 3.05/1.56 = Prod ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_326_sndI,axiom,
% 3.05/1.56 ! [X4: produc696645085lle_fm,Y: list_char > paraco1605129243lle_tv,Z: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( X4
% 3.05/1.56 = ( produc1710735575lle_fm @ Y @ Z ) )
% 3.05/1.56 => ( ( produc148705065lle_fm @ X4 )
% 3.05/1.56 = Z ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_327_sndI,axiom,
% 3.05/1.56 ! [X4: produc1647334210lle_tv,Y: paraco1605129243lle_tv,Z: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( X4
% 3.05/1.56 = ( produc2058540732lle_tv @ Y @ Z ) )
% 3.05/1.56 => ( ( produc1837067022lle_tv @ X4 )
% 3.05/1.56 = Z ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_328_eq__snd__iff,axiom,
% 3.05/1.56 ! [B: paraco1604210848lle_fm,P2: produc696645085lle_fm] :
% 3.05/1.56 ( ( B
% 3.05/1.56 = ( produc148705065lle_fm @ P2 ) )
% 3.05/1.56 = ( ? [A5: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc1710735575lle_fm @ A5 @ B ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_329_eq__snd__iff,axiom,
% 3.05/1.56 ! [B: paraco1605129243lle_tv,P2: produc1647334210lle_tv] :
% 3.05/1.56 ( ( B
% 3.05/1.56 = ( produc1837067022lle_tv @ P2 ) )
% 3.05/1.56 = ( ? [A5: paraco1605129243lle_tv] :
% 3.05/1.56 ( P2
% 3.05/1.56 = ( produc2058540732lle_tv @ A5 @ B ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_330_snd__eqD,axiom,
% 3.05/1.56 ! [X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm,A: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( ( produc148705065lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) )
% 3.05/1.56 = A )
% 3.05/1.56 => ( Y = A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_331_snd__eqD,axiom,
% 3.05/1.56 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,A: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( ( produc1837067022lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) )
% 3.05/1.56 = A )
% 3.05/1.56 => ( Y = A ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_332_snd__conv,axiom,
% 3.05/1.56 ! [X1: list_char > paraco1605129243lle_tv,X2: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( produc148705065lle_fm @ ( produc1710735575lle_fm @ X1 @ X2 ) )
% 3.05/1.56 = X2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_333_snd__conv,axiom,
% 3.05/1.56 ! [X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( produc1837067022lle_tv @ ( produc2058540732lle_tv @ X1 @ X2 ) )
% 3.05/1.56 = X2 ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_334_snd__def,axiom,
% 3.05/1.56 ( produc1837067022lle_tv
% 3.05/1.56 = ( produc1882560353lle_tv
% 3.05/1.56 @ ^ [X13: paraco1605129243lle_tv,X23: paraco1605129243lle_tv] : X23 ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_335_case__prod__beta,axiom,
% 3.05/1.56 ( produc1882560353lle_tv
% 3.05/1.56 = ( ^ [F: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,P: produc1647334210lle_tv] : ( F @ ( produc488585168lle_tv @ P ) @ ( produc1837067022lle_tv @ P ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_336_case__prod__beta_H,axiom,
% 3.05/1.56 ( produc1882560353lle_tv
% 3.05/1.56 = ( ^ [F: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,X5: produc1647334210lle_tv] : ( F @ ( produc488585168lle_tv @ X5 ) @ ( produc1837067022lle_tv @ X5 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_337_prod_Ocase__eq__if,axiom,
% 3.05/1.56 ( produc1882560353lle_tv
% 3.05/1.56 = ( ^ [F: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod2: produc1647334210lle_tv] : ( F @ ( produc488585168lle_tv @ Prod2 ) @ ( produc1837067022lle_tv @ Prod2 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_338_case__prod__unfold,axiom,
% 3.05/1.56 ( produc1882560353lle_tv
% 3.05/1.56 = ( ^ [C3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,P: produc1647334210lle_tv] : ( C3 @ ( produc488585168lle_tv @ P ) @ ( produc1837067022lle_tv @ P ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_339_prod_Oexhaust__sel,axiom,
% 3.05/1.56 ! [Prod: produc696645085lle_fm] :
% 3.05/1.56 ( Prod
% 3.05/1.56 = ( produc1710735575lle_fm @ ( produc29804011lle_fm @ Prod ) @ ( produc148705065lle_fm @ Prod ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_340_prod_Oexhaust__sel,axiom,
% 3.05/1.56 ! [Prod: produc1647334210lle_tv] :
% 3.05/1.56 ( Prod
% 3.05/1.56 = ( produc2058540732lle_tv @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_341_surjective__pairing,axiom,
% 3.05/1.56 ! [T: produc696645085lle_fm] :
% 3.05/1.56 ( T
% 3.05/1.56 = ( produc1710735575lle_fm @ ( produc29804011lle_fm @ T ) @ ( produc148705065lle_fm @ T ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_342_surjective__pairing,axiom,
% 3.05/1.56 ! [T: produc1647334210lle_tv] :
% 3.05/1.56 ( T
% 3.05/1.56 = ( produc2058540732lle_tv @ ( produc488585168lle_tv @ T ) @ ( produc1837067022lle_tv @ T ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_343_prod_Osplit__sel,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod: produc1647334210lle_tv] :
% 3.05/1.56 ( ( P3 @ ( produc1882560353lle_tv @ F3 @ Prod ) )
% 3.05/1.56 = ( ( Prod
% 3.05/1.56 = ( produc2058540732lle_tv @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) )
% 3.05/1.56 => ( P3 @ ( F3 @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_344_prod_Osplit__sel__asm,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv,Prod: produc1647334210lle_tv] :
% 3.05/1.56 ( ( P3 @ ( produc1882560353lle_tv @ F3 @ Prod ) )
% 3.05/1.56 = ( ~ ( ( Prod
% 3.05/1.56 = ( produc2058540732lle_tv @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) )
% 3.05/1.56 & ~ ( P3 @ ( F3 @ ( produc488585168lle_tv @ Prod ) @ ( produc1837067022lle_tv @ Prod ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_345_prod_Oswap__def,axiom,
% 3.05/1.56 ( produc1232814113lle_tv
% 3.05/1.56 = ( ^ [P: produc1443694919lle_tv] : ( produc1710735575lle_fm @ ( produc381314067lle_tv @ P ) @ ( produc262413013lle_tv @ P ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_346_prod_Oswap__def,axiom,
% 3.05/1.56 ( produc211755292lle_tv
% 3.05/1.56 = ( ^ [P: produc1647334210lle_tv] : ( produc2058540732lle_tv @ ( produc1837067022lle_tv @ P ) @ ( produc488585168lle_tv @ P ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_347_exE__realizer,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,P2: produc1647334210lle_tv,Q3: paraco1605129243lle_tv > $o,F3: paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( P3 @ ( produc1837067022lle_tv @ P2 ) @ ( produc488585168lle_tv @ P2 ) )
% 3.05/1.56 => ( ! [X: paraco1605129243lle_tv,Y4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( P3 @ Y4 @ X )
% 3.05/1.56 => ( Q3 @ ( F3 @ X @ Y4 ) ) )
% 3.05/1.56 => ( Q3 @ ( produc1882560353lle_tv @ F3 @ P2 ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_348_exI__realizer,axiom,
% 3.05/1.56 ! [P3: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > $o,Y: paraco1604210848lle_fm,X4: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( P3 @ Y @ X4 )
% 3.05/1.56 => ( P3 @ ( produc148705065lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) ) @ ( produc29804011lle_fm @ ( produc1710735575lle_fm @ X4 @ Y ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_349_exI__realizer,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,Y: paraco1605129243lle_tv,X4: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( P3 @ Y @ X4 )
% 3.05/1.56 => ( P3 @ ( produc1837067022lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) ) @ ( produc488585168lle_tv @ ( produc2058540732lle_tv @ X4 @ Y ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_350_conjI__realizer,axiom,
% 3.05/1.56 ! [P3: ( list_char > paraco1605129243lle_tv ) > $o,P2: list_char > paraco1605129243lle_tv,Q3: paraco1604210848lle_fm > $o,Q: paraco1604210848lle_fm] :
% 3.05/1.56 ( ( P3 @ P2 )
% 3.05/1.56 => ( ( Q3 @ Q )
% 3.05/1.56 => ( ( P3 @ ( produc29804011lle_fm @ ( produc1710735575lle_fm @ P2 @ Q ) ) )
% 3.05/1.56 & ( Q3 @ ( produc148705065lle_fm @ ( produc1710735575lle_fm @ P2 @ Q ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_351_conjI__realizer,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > $o,P2: paraco1605129243lle_tv,Q3: paraco1605129243lle_tv > $o,Q: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( P3 @ P2 )
% 3.05/1.56 => ( ( Q3 @ Q )
% 3.05/1.56 => ( ( P3 @ ( produc488585168lle_tv @ ( produc2058540732lle_tv @ P2 @ Q ) ) )
% 3.05/1.56 & ( Q3 @ ( produc1837067022lle_tv @ ( produc2058540732lle_tv @ P2 @ Q ) ) ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_352_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.05/1.56 ! [P3: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o,X4: list_char > paraco1605129243lle_tv,Y: paraco1604210848lle_fm,A: produc696645085lle_fm] :
% 3.05/1.56 ( ( P3 @ X4 @ Y )
% 3.05/1.56 => ( ( A
% 3.05/1.56 = ( produc1710735575lle_fm @ X4 @ Y ) )
% 3.05/1.56 => ( P3 @ ( produc29804011lle_fm @ A ) @ ( produc148705065lle_fm @ A ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(fact_353_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.05/1.56 ! [P3: paraco1605129243lle_tv > paraco1605129243lle_tv > $o,X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv,A: produc1647334210lle_tv] :
% 3.05/1.56 ( ( P3 @ X4 @ Y )
% 3.05/1.56 => ( ( A
% 3.05/1.56 = ( produc2058540732lle_tv @ X4 @ Y ) )
% 3.05/1.56 => ( P3 @ ( produc488585168lle_tv @ A ) @ ( produc1837067022lle_tv @ A ) ) ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(help_If_3_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T,axiom,
% 3.05/1.56 ! [P3: $o] :
% 3.05/1.56 ( ( P3 = $true )
% 3.05/1.56 | ( P3 = $false ) ) ).
% 3.05/1.56
% 3.05/1.56 thf(help_If_2_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T,axiom,
% 3.05/1.56 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( if_Par1134130401lle_tv @ $false @ X4 @ Y )
% 3.05/1.56 = Y ) ).
% 3.05/1.56
% 3.05/1.56 thf(help_If_1_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T,axiom,
% 3.05/1.56 ! [X4: paraco1605129243lle_tv,Y: paraco1605129243lle_tv] :
% 3.05/1.56 ( ( if_Par1134130401lle_tv @ $true @ X4 @ Y )
% 3.05/1.56 = X4 ) ).
% 3.05/1.56
% 3.05/1.56 thf(conj_0,conjecture,
% 3.05/1.56 ? [I4: list_char > paraco1605129243lle_tv] :
% 3.05/1.56 ( ( paraco1325918602e_eval @ I4 @ p )
% 3.05/1.56 != ( paraco1344940915le_Det @ $true ) ) ).
% 3.05/1.56 ------------------------
% 3.05/1.59 % (1172)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/4Mi)
% 3.05/1.59 % (1173)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/27Mi)
% 3.05/1.60 % (1172)Instruction limit reached!
% 3.05/1.60 % (1172)------------------------------
% 3.05/1.60 % (1172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.05/1.60 % (1172)Termination reason: Unknown
% 3.05/1.60 % (1172)Termination phase: shuffling
% 3.05/1.60
% 3.05/1.60 % (1172)Memory used [KB]: 1663
% 3.05/1.60 % (1172)Time elapsed: 0.003 s
% 3.05/1.60 % (1172)Instructions burned: 6 (million)
% 3.05/1.60 % (1172)------------------------------
% 3.05/1.60 % (1172)------------------------------
% 3.12/1.60 % (1171)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/183Mi)
% 3.12/1.60 % (1174)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/2Mi)
% 3.12/1.60 % (1175)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/2Mi)
% 3.12/1.60 % (1176)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/275Mi)
% 3.12/1.60 % (1173)Instruction limit reached!
% 3.12/1.60 % (1173)------------------------------
% 3.12/1.60 % (1173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.60 % (1173)Termination reason: Unknown
% 3.12/1.60 % (1173)Termination phase: Property scanning
% 3.12/1.60
% 3.12/1.60 % (1173)Memory used [KB]: 1918
% 3.12/1.60 % (1173)Time elapsed: 0.010 s
% 3.12/1.60 % (1173)Instructions burned: 28 (million)
% 3.12/1.60 % (1173)------------------------------
% 3.12/1.60 % (1173)------------------------------
% 3.12/1.60 % (1177)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/18Mi)
% 3.12/1.60 % (1174)Instruction limit reached!
% 3.12/1.60 % (1174)------------------------------
% 3.12/1.60 % (1174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.60 % (1174)Termination reason: Unknown
% 3.12/1.60 % (1174)Termination phase: shuffling
% 3.12/1.60
% 3.12/1.60 % (1174)Memory used [KB]: 1535
% 3.12/1.60 % (1174)Time elapsed: 0.004 s
% 3.12/1.60 % (1174)Instructions burned: 3 (million)
% 3.12/1.60 % (1174)------------------------------
% 3.12/1.60 % (1174)------------------------------
% 3.12/1.60 % (1175)Instruction limit reached!
% 3.12/1.60 % (1175)------------------------------
% 3.12/1.60 % (1175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.60 % (1175)Termination reason: Unknown
% 3.12/1.60 % (1175)Termination phase: shuffling
% 3.12/1.60
% 3.12/1.60 % (1175)Memory used [KB]: 1535
% 3.12/1.60 % (1175)Time elapsed: 0.004 s
% 3.12/1.60 % (1175)Instructions burned: 3 (million)
% 3.12/1.60 % (1175)------------------------------
% 3.12/1.60 % (1175)------------------------------
% 3.12/1.61 % (1178)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/3Mi)
% 3.12/1.61 % (1178)Instruction limit reached!
% 3.12/1.61 % (1178)------------------------------
% 3.12/1.61 % (1178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.61 % (1178)Termination reason: Unknown
% 3.12/1.61 % (1178)Termination phase: shuffling
% 3.12/1.61
% 3.12/1.61 % (1178)Memory used [KB]: 1535
% 3.12/1.61 % (1178)Time elapsed: 0.002 s
% 3.12/1.61 % (1178)Instructions burned: 3 (million)
% 3.12/1.61 % (1178)------------------------------
% 3.12/1.61 % (1178)------------------------------
% 3.12/1.61 % (1179)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/37Mi)
% 3.12/1.61 % (1177)Instruction limit reached!
% 3.12/1.61 % (1177)------------------------------
% 3.12/1.61 % (1177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.61 % (1177)Termination reason: Unknown
% 3.12/1.61 % (1177)Termination phase: shuffling
% 3.12/1.61
% 3.12/1.61 % (1177)Memory used [KB]: 1918
% 3.12/1.61 % (1177)Time elapsed: 0.013 s
% 3.12/1.61 % (1177)Instructions burned: 19 (million)
% 3.12/1.61 % (1177)------------------------------
% 3.12/1.61 % (1177)------------------------------
% 3.12/1.62 % (1182)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/1041Mi)
% 3.12/1.62 % (1180)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/15Mi)
% 3.12/1.62 % (1181)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/3Mi)
% 3.12/1.62 % (1179)Instruction limit reached!
% 3.12/1.62 % (1179)------------------------------
% 3.12/1.62 % (1179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.62 % (1179)Termination reason: Unknown
% 3.12/1.62 % (1179)Termination phase: shuffling
% 3.12/1.62
% 3.12/1.62 % (1179)Memory used [KB]: 2302
% 3.12/1.62 % (1179)Time elapsed: 0.011 s
% 3.12/1.62 % (1179)Instructions burned: 37 (million)
% 3.12/1.62 % (1179)------------------------------
% 3.12/1.62 % (1179)------------------------------
% 3.12/1.62 % (1181)Instruction limit reached!
% 3.12/1.62 % (1181)------------------------------
% 3.12/1.62 % (1181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.62 % (1181)Termination reason: Unknown
% 3.12/1.62 % (1181)Termination phase: shuffling
% 3.12/1.62
% 3.12/1.62 % (1181)Memory used [KB]: 1535
% 3.12/1.62 % (1181)Time elapsed: 0.004 s
% 3.12/1.62 % (1181)Instructions burned: 3 (million)
% 3.12/1.62 % (1181)------------------------------
% 3.12/1.62 % (1181)------------------------------
% 3.12/1.63 % (1176)Refutation not found, incomplete strategy
% 3.12/1.63 % (1176)------------------------------
% 3.12/1.63 % (1176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.63 % (1176)Termination reason: Refutation not found, incomplete strategy
% 3.12/1.63
% 3.12/1.63
% 3.12/1.63 % (1176)Memory used [KB]: 6524
% 3.12/1.63 % (1176)Time elapsed: 0.024 s
% 3.12/1.63 % (1176)Instructions burned: 43 (million)
% 3.12/1.63 % (1176)------------------------------
% 3.12/1.63 % (1176)------------------------------
% 3.12/1.63 % (1180)Instruction limit reached!
% 3.12/1.63 % (1180)------------------------------
% 3.12/1.63 % (1180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.63 % (1180)Termination reason: Unknown
% 3.12/1.63 % (1180)Termination phase: shuffling
% 3.12/1.63
% 3.12/1.63 % (1180)Memory used [KB]: 1791
% 3.12/1.63 % (1180)Time elapsed: 0.008 s
% 3.12/1.63 % (1180)Instructions burned: 15 (million)
% 3.12/1.63 % (1180)------------------------------
% 3.12/1.63 % (1180)------------------------------
% 3.12/1.63 % (1184)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/16Mi)
% 3.12/1.63 % (1183)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/7Mi)
% 3.12/1.64 % (1186)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/3Mi)
% 3.12/1.64 % (1183)Instruction limit reached!
% 3.12/1.64 % (1183)------------------------------
% 3.12/1.64 % (1183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.64 % (1183)Termination reason: Unknown
% 3.12/1.64 % (1183)Termination phase: shuffling
% 3.12/1.64
% 3.12/1.64 % (1183)Memory used [KB]: 1535
% 3.12/1.64 % (1183)Time elapsed: 0.006 s
% 3.12/1.64 % (1183)Instructions burned: 7 (million)
% 3.12/1.64 % (1183)------------------------------
% 3.12/1.64 % (1183)------------------------------
% 3.12/1.64 % (1184)Instruction limit reached!
% 3.12/1.64 % (1184)------------------------------
% 3.12/1.64 % (1184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.64 % (1184)Termination reason: Unknown
% 3.12/1.64 % (1184)Termination phase: shuffling
% 3.12/1.64
% 3.12/1.64 % (1184)Memory used [KB]: 1791
% 3.12/1.64 % (1184)Time elapsed: 0.006 s
% 3.12/1.64 % (1184)Instructions burned: 16 (million)
% 3.12/1.64 % (1184)------------------------------
% 3.12/1.64 % (1184)------------------------------
% 3.12/1.64 % (1187)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/7Mi)
% 3.12/1.64 % (1186)Instruction limit reached!
% 3.12/1.64 % (1186)------------------------------
% 3.12/1.64 % (1186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.64 % (1186)Termination reason: Unknown
% 3.12/1.64 % (1186)Termination phase: shuffling
% 3.12/1.64
% 3.12/1.64 % (1186)Memory used [KB]: 1535
% 3.12/1.64 % (1186)Time elapsed: 0.003 s
% 3.12/1.64 % (1186)Instructions burned: 3 (million)
% 3.12/1.64 % (1186)------------------------------
% 3.12/1.64 % (1186)------------------------------
% 3.12/1.64 % (1187)Instruction limit reached!
% 3.12/1.64 % (1187)------------------------------
% 3.12/1.64 % (1187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.64 % (1187)Termination reason: Unknown
% 3.12/1.64 % (1187)Termination phase: shuffling
% 3.12/1.64
% 3.12/1.64 % (1187)Memory used [KB]: 1663
% 3.12/1.64 % (1187)Time elapsed: 0.005 s
% 3.12/1.64 % (1187)Instructions burned: 9 (million)
% 3.12/1.64 % (1187)------------------------------
% 3.12/1.64 % (1187)------------------------------
% 3.12/1.64 % (1185)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/3Mi)
% 3.12/1.64 % (1185)Instruction limit reached!
% 3.12/1.64 % (1185)------------------------------
% 3.12/1.64 % (1185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.64 % (1185)Termination reason: Unknown
% 3.12/1.64 % (1185)Termination phase: shuffling
% 3.12/1.64
% 3.12/1.64 % (1185)Memory used [KB]: 1535
% 3.12/1.64 % (1185)Time elapsed: 0.004 s
% 3.12/1.64 % (1185)Instructions burned: 4 (million)
% 3.12/1.64 % (1185)------------------------------
% 3.12/1.64 % (1185)------------------------------
% 3.12/1.65 % (1190)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/18Mi)
% 3.12/1.65 % (1191)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/710Mi)
% 3.12/1.65 % (1190)Instruction limit reached!
% 3.12/1.65 % (1190)------------------------------
% 3.12/1.65 % (1190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.65 % (1190)Termination reason: Unknown
% 3.12/1.65 % (1190)Termination phase: shuffling
% 3.12/1.65
% 3.12/1.65 % (1190)Memory used [KB]: 1791
% 3.12/1.65 % (1190)Time elapsed: 0.008 s
% 3.12/1.65 % (1190)Instructions burned: 18 (million)
% 3.12/1.65 % (1190)------------------------------
% 3.12/1.65 % (1190)------------------------------
% 3.12/1.65 % (1188)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/3Mi)
% 3.12/1.65 % (1189)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/4Mi)
% 3.12/1.66 % (1188)Instruction limit reached!
% 3.12/1.66 % (1188)------------------------------
% 3.12/1.66 % (1188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.66 % (1188)Termination reason: Unknown
% 3.12/1.66 % (1188)Termination phase: shuffling
% 3.12/1.66
% 3.12/1.66 % (1188)Memory used [KB]: 1535
% 3.12/1.66 % (1188)Time elapsed: 0.004 s
% 3.12/1.66 % (1188)Instructions burned: 3 (million)
% 3.12/1.66 % (1188)------------------------------
% 3.12/1.66 % (1188)------------------------------
% 3.12/1.66 % (1189)Instruction limit reached!
% 3.12/1.66 % (1189)------------------------------
% 3.12/1.66 % (1189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.66 % (1189)Termination reason: Unknown
% 3.12/1.66 % (1189)Termination phase: shuffling
% 3.12/1.66
% 3.12/1.66 % (1189)Memory used [KB]: 1535
% 3.12/1.66 % (1189)Time elapsed: 0.004 s
% 3.12/1.66 % (1189)Instructions burned: 5 (million)
% 3.12/1.66 % (1189)------------------------------
% 3.12/1.66 % (1189)------------------------------
% 3.12/1.66 % (1192)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/6Mi)
% 3.12/1.66 % (1192)Instruction limit reached!
% 3.12/1.66 % (1192)------------------------------
% 3.12/1.66 % (1192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.66 % (1192)Termination reason: Unknown
% 3.12/1.66 % (1192)Termination phase: shuffling
% 3.12/1.66
% 3.12/1.66 % (1192)Memory used [KB]: 1663
% 3.12/1.66 % (1192)Time elapsed: 0.004 s
% 3.12/1.66 % (1192)Instructions burned: 7 (million)
% 3.12/1.66 % (1192)------------------------------
% 3.12/1.66 % (1192)------------------------------
% 3.12/1.66 % (1193)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/902Mi)
% 3.12/1.67 % (1196)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/6Mi)
% 3.12/1.67 % (1171)Instruction limit reached!
% 3.12/1.67 % (1171)------------------------------
% 3.12/1.67 % (1171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.67 % (1171)Termination reason: Unknown
% 3.12/1.67 % (1171)Termination phase: Saturation
% 3.12/1.67
% 3.12/1.67 % (1171)Memory used [KB]: 7803
% 3.12/1.67 % (1171)Time elapsed: 0.070 s
% 3.12/1.67 % (1171)Instructions burned: 183 (million)
% 3.12/1.67 % (1171)------------------------------
% 3.12/1.67 % (1171)------------------------------
% 3.12/1.67 % (1196)Instruction limit reached!
% 3.12/1.67 % (1196)------------------------------
% 3.12/1.67 % (1196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.67 % (1196)Termination reason: Unknown
% 3.12/1.67 % (1196)Termination phase: shuffling
% 3.12/1.67
% 3.12/1.67 % (1196)Memory used [KB]: 1791
% 3.12/1.67 % (1196)Time elapsed: 0.004 s
% 3.12/1.67 % (1196)Instructions burned: 8 (million)
% 3.12/1.67 % (1196)------------------------------
% 3.12/1.67 % (1196)------------------------------
% 3.12/1.67 % (1194)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/21Mi)
% 3.12/1.67 % (1195)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/5Mi)
% 3.12/1.68 % (1195)Instruction limit reached!
% 3.12/1.68 % (1195)------------------------------
% 3.12/1.68 % (1195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.68 % (1195)Termination reason: Unknown
% 3.12/1.68 % (1195)Termination phase: shuffling
% 3.12/1.68
% 3.12/1.68 % (1195)Memory used [KB]: 1663
% 3.12/1.68 % (1195)Time elapsed: 0.004 s
% 3.12/1.68 % (1195)Instructions burned: 5 (million)
% 3.12/1.68 % (1195)------------------------------
% 3.12/1.68 % (1195)------------------------------
% 3.12/1.68 % (1197)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_910 for (2999ds/377Mi)
% 3.12/1.68 % (1198)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_910 for (2998ds/779Mi)
% 3.12/1.69 % (1194)Instruction limit reached!
% 3.12/1.69 % (1194)------------------------------
% 3.12/1.69 % (1194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.69 % (1194)Termination reason: Unknown
% 3.12/1.69 % (1194)Termination phase: shuffling
% 3.12/1.69
% 3.12/1.69 % (1194)Memory used [KB]: 1918
% 3.12/1.69 % (1194)Time elapsed: 0.015 s
% 3.12/1.69 % (1194)Instructions burned: 21 (million)
% 3.12/1.69 % (1194)------------------------------
% 3.12/1.69 % (1194)------------------------------
% 3.12/1.69 % (1199)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_910 for (2998ds/19Mi)
% 3.12/1.70 % (1199)Instruction limit reached!
% 3.12/1.70 % (1199)------------------------------
% 3.12/1.70 % (1199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.70 % (1199)Termination reason: Unknown
% 3.12/1.70 % (1199)Termination phase: shuffling
% 3.12/1.70
% 3.12/1.70 % (1199)Memory used [KB]: 2046
% 3.12/1.70 % (1199)Time elapsed: 0.010 s
% 3.12/1.70 % (1199)Instructions burned: 19 (million)
% 3.12/1.70 % (1199)------------------------------
% 3.12/1.70 % (1199)------------------------------
% 3.12/1.70 % (1200)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_910 for (2998ds/879Mi)
% 3.12/1.72 % (1201)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_910 for (2998ds/17Mi)
% 3.12/1.73 % (1201)Instruction limit reached!
% 3.12/1.73 % (1201)------------------------------
% 3.12/1.73 % (1201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.73 % (1201)Termination reason: Unknown
% 3.12/1.73 % (1201)Termination phase: shuffling
% 3.12/1.73
% 3.12/1.73 % (1201)Memory used [KB]: 1791
% 3.12/1.73 % (1201)Time elapsed: 0.010 s
% 3.12/1.73 % (1201)Instructions burned: 18 (million)
% 3.12/1.73 % (1201)------------------------------
% 3.12/1.73 % (1201)------------------------------
% 3.12/1.74 % (1202)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_910 for (2998ds/3Mi)
% 3.12/1.75 % (1202)Instruction limit reached!
% 3.12/1.75 % (1202)------------------------------
% 3.12/1.75 % (1202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.75 % (1202)Termination reason: Unknown
% 3.12/1.75 % (1202)Termination phase: shuffling
% 3.12/1.75
% 3.12/1.75 % (1202)Memory used [KB]: 1535
% 3.12/1.75 % (1202)Time elapsed: 0.003 s
% 3.12/1.75 % (1202)Instructions burned: 3 (million)
% 3.12/1.75 % (1202)------------------------------
% 3.12/1.75 % (1202)------------------------------
% 3.12/1.76 % (1203)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_910 for (2998ds/30Mi)
% 3.12/1.78 % (1203)Instruction limit reached!
% 3.12/1.78 % (1203)------------------------------
% 3.12/1.78 % (1203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.78 % (1203)Termination reason: Unknown
% 3.12/1.78 % (1203)Termination phase: shuffling
% 3.12/1.78
% 3.12/1.78 % (1203)Memory used [KB]: 2046
% 3.12/1.78 % (1203)Time elapsed: 0.016 s
% 3.12/1.78 % (1203)Instructions burned: 31 (million)
% 3.12/1.78 % (1203)------------------------------
% 3.12/1.78 % (1203)------------------------------
% 3.12/1.79 % (1204)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_910 for (2997ds/127Mi)
% 3.12/1.81 % (1197)Instruction limit reached!
% 3.12/1.81 % (1197)------------------------------
% 3.12/1.81 % (1197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.81 % (1197)Termination reason: Unknown
% 3.12/1.81 % (1197)Termination phase: Saturation
% 3.12/1.81
% 3.12/1.81 % (1197)Memory used [KB]: 8827
% 3.12/1.81 % (1197)Time elapsed: 0.150 s
% 3.12/1.81 % (1197)Instructions burned: 378 (million)
% 3.12/1.81 % (1197)------------------------------
% 3.12/1.81 % (1197)------------------------------
% 3.12/1.82 % (1205)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_910 for (2997ds/100Mi)
% 3.12/1.84 % (1191)Instruction limit reached!
% 3.12/1.84 % (1191)------------------------------
% 3.12/1.84 % (1191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.84 % (1191)Termination reason: Unknown
% 3.12/1.84 % (1191)Termination phase: Saturation
% 3.12/1.84
% 3.12/1.84 % (1191)Memory used [KB]: 7164
% 3.12/1.84 % (1191)Time elapsed: 0.192 s
% 3.12/1.84 % (1191)Instructions burned: 711 (million)
% 3.12/1.84 % (1191)------------------------------
% 3.12/1.84 % (1191)------------------------------
% 3.12/1.85 % (1205)Instruction limit reached!
% 3.12/1.85 % (1205)------------------------------
% 3.12/1.85 % (1205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.85 % (1205)Termination reason: Unknown
% 3.12/1.85 % (1205)Termination phase: Property scanning
% 3.12/1.85
% 3.12/1.85 % (1205)Memory used [KB]: 2814
% 3.12/1.85 % (1205)Time elapsed: 0.031 s
% 3.12/1.85 % (1205)Instructions burned: 103 (million)
% 3.12/1.85 % (1205)------------------------------
% 3.12/1.85 % (1205)------------------------------
% 3.12/1.85 % (1204)Instruction limit reached!
% 3.12/1.85 % (1204)------------------------------
% 3.12/1.85 % (1204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.85 % (1204)Termination reason: Unknown
% 3.12/1.85 % (1204)Termination phase: Saturation
% 3.12/1.85
% 3.12/1.85 % (1204)Memory used [KB]: 7164
% 3.12/1.85 % (1204)Time elapsed: 0.058 s
% 3.12/1.85 % (1204)Instructions burned: 129 (million)
% 3.12/1.85 % (1204)------------------------------
% 3.12/1.85 % (1204)------------------------------
% 3.12/1.85 % (1206)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_910 for (2997ds/3Mi)
% 3.12/1.85 % (1206)Instruction limit reached!
% 3.12/1.85 % (1206)------------------------------
% 3.12/1.85 % (1206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.85 % (1206)Termination reason: Unknown
% 3.12/1.85 % (1206)Termination phase: shuffling
% 3.12/1.85
% 3.12/1.85 % (1206)Memory used [KB]: 1663
% 3.12/1.85 % (1206)Time elapsed: 0.003 s
% 3.12/1.85 % (1206)Instructions burned: 6 (million)
% 3.12/1.85 % (1206)------------------------------
% 3.12/1.85 % (1206)------------------------------
% 3.12/1.86 % (1207)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_910 for (2997ds/20Mi)
% 3.12/1.86 % (1209)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_910 for (2997ds/107Mi)
% 3.12/1.86 % (1207)Instruction limit reached!
% 3.12/1.86 % (1207)------------------------------
% 3.12/1.86 % (1207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.86 % (1207)Termination reason: Unknown
% 3.12/1.86 % (1207)Termination phase: shuffling
% 3.12/1.86
% 3.12/1.86 % (1207)Memory used [KB]: 1918
% 3.12/1.86 % (1207)Time elapsed: 0.009 s
% 3.12/1.86 % (1207)Instructions burned: 21 (million)
% 3.12/1.86 % (1207)------------------------------
% 3.12/1.86 % (1207)------------------------------
% 3.12/1.87 % (1208)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_910 for (2997ds/86Mi)
% 3.12/1.87 % (1210)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/39Mi)
% 3.12/1.89 % (1210)Instruction limit reached!
% 3.12/1.89 % (1210)------------------------------
% 3.12/1.89 % (1210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.89 % (1210)Termination reason: Unknown
% 3.12/1.89 % (1210)Termination phase: shuffling
% 3.12/1.89
% 3.12/1.89 % (1210)Memory used [KB]: 2430
% 3.12/1.89 % (1210)Time elapsed: 0.014 s
% 3.12/1.89 % (1210)Instructions burned: 41 (million)
% 3.12/1.89 % (1210)------------------------------
% 3.12/1.89 % (1210)------------------------------
% 3.12/1.89 % (1209)Instruction limit reached!
% 3.12/1.89 % (1209)------------------------------
% 3.12/1.89 % (1209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.89 % (1209)Termination reason: Unknown
% 3.12/1.89 % (1209)Termination phase: Saturation
% 3.12/1.89
% 3.12/1.89 % (1209)Memory used [KB]: 7164
% 3.12/1.89 % (1209)Time elapsed: 0.033 s
% 3.12/1.89 % (1209)Instructions burned: 107 (million)
% 3.12/1.89 % (1209)------------------------------
% 3.12/1.89 % (1209)------------------------------
% 3.12/1.90 % (1211)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/448Mi)
% 3.12/1.90 % (1208)Instruction limit reached!
% 3.12/1.90 % (1208)------------------------------
% 3.12/1.90 % (1208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.90 % (1208)Termination reason: Unknown
% 3.12/1.90 % (1208)Termination phase: Property scanning
% 3.12/1.90
% 3.12/1.90 % (1208)Memory used [KB]: 2558
% 3.12/1.90 % (1208)Time elapsed: 0.037 s
% 3.12/1.90 % (1208)Instructions burned: 86 (million)
% 3.12/1.90 % (1208)------------------------------
% 3.12/1.90 % (1208)------------------------------
% 3.12/1.90 % (1212)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/46Mi)
% 3.12/1.92 % (1212)Instruction limit reached!
% 3.12/1.92 % (1212)------------------------------
% 3.12/1.92 % (1212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.92 % (1212)Termination reason: Unknown
% 3.12/1.92 % (1212)Termination phase: SInE selection
% 3.12/1.92
% 3.12/1.92 % (1212)Memory used [KB]: 1918
% 3.12/1.92 % (1212)Time elapsed: 0.016 s
% 3.12/1.92 % (1212)Instructions burned: 49 (million)
% 3.12/1.92 % (1212)------------------------------
% 3.12/1.92 % (1212)------------------------------
% 3.12/1.92 % (1213)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/98Mi)
% 3.12/1.92 % (1198)Instruction limit reached!
% 3.12/1.92 % (1198)------------------------------
% 3.12/1.92 % (1198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.92 % (1198)Termination reason: Unknown
% 3.12/1.92 % (1198)Termination phase: Saturation
% 3.12/1.92
% 3.12/1.92 % (1198)Memory used [KB]: 9594
% 3.12/1.92 % (1198)Time elapsed: 0.240 s
% 3.12/1.92 % (1198)Instructions burned: 780 (million)
% 3.12/1.92 % (1198)------------------------------
% 3.12/1.92 % (1198)------------------------------
% 3.12/1.93 % (1214)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/507Mi)
% 3.12/1.93 % (1215)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/149Mi)
% 3.12/1.93 % (1193)Instruction limit reached!
% 3.12/1.93 % (1193)------------------------------
% 3.12/1.93 % (1193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.93 % (1193)Termination reason: Unknown
% 3.12/1.93 % (1193)Termination phase: Saturation
% 3.12/1.93
% 3.12/1.93 % (1193)Memory used [KB]: 8827
% 3.12/1.93 % (1193)Time elapsed: 0.293 s
% 3.12/1.93 % (1193)Instructions burned: 904 (million)
% 3.12/1.93 % (1193)------------------------------
% 3.12/1.93 % (1193)------------------------------
% 3.12/1.94 % (1182)Instruction limit reached!
% 3.12/1.94 % (1182)------------------------------
% 3.12/1.94 % (1182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.94 % (1182)Termination reason: Unknown
% 3.12/1.94 % (1182)Termination phase: Saturation
% 3.12/1.94
% 3.12/1.94 % (1182)Memory used [KB]: 10234
% 3.12/1.94 % (1182)Time elapsed: 0.320 s
% 3.12/1.94 % (1182)Instructions burned: 1041 (million)
% 3.12/1.94 % (1182)------------------------------
% 3.12/1.94 % (1182)------------------------------
% 3.12/1.94 % (1216)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/39Mi)
% 3.12/1.94 % (1217)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/6Mi)
% 3.12/1.95 % (1217)Instruction limit reached!
% 3.12/1.95 % (1217)------------------------------
% 3.12/1.95 % (1217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.95 % (1217)Termination reason: Unknown
% 3.12/1.95 % (1217)Termination phase: shuffling
% 3.12/1.95
% 3.12/1.95 % (1217)Memory used [KB]: 1663
% 3.12/1.95 % (1217)Time elapsed: 0.003 s
% 3.12/1.95 % (1217)Instructions burned: 7 (million)
% 3.12/1.95 % (1217)------------------------------
% 3.12/1.95 % (1217)------------------------------
% 3.12/1.96 % (1216)Instruction limit reached!
% 3.12/1.96 % (1216)------------------------------
% 3.12/1.96 % (1216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.96 % (1216)Termination reason: Unknown
% 3.12/1.96 % (1216)Termination phase: Preprocessing 1
% 3.12/1.96
% 3.12/1.96 % (1216)Memory used [KB]: 1918
% 3.12/1.96 % (1216)Time elapsed: 0.013 s
% 3.12/1.96 % (1216)Instructions burned: 41 (million)
% 3.12/1.96 % (1216)------------------------------
% 3.12/1.96 % (1216)------------------------------
% 3.12/1.96 % (1218)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/1087Mi)
% 3.12/1.96 % (1213)Instruction limit reached!
% 3.12/1.96 % (1213)------------------------------
% 3.12/1.96 % (1213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.96 % (1213)Termination reason: Unknown
% 3.12/1.96 % (1213)Termination phase: Property scanning
% 3.12/1.96
% 3.12/1.96 % (1213)Memory used [KB]: 2814
% 3.12/1.96 % (1213)Time elapsed: 0.041 s
% 3.12/1.96 % (1213)Instructions burned: 98 (million)
% 3.12/1.96 % (1213)------------------------------
% 3.12/1.96 % (1213)------------------------------
% 3.12/1.97 % (1219)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/47Mi)
% 3.12/1.97 % (1220)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_910 for (2996ds/44Mi)
% 3.12/1.97 % (1215)Instruction limit reached!
% 3.12/1.97 % (1215)------------------------------
% 3.12/1.97 % (1215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.97 % (1215)Termination reason: Unknown
% 3.12/1.97 % (1215)Termination phase: Saturation
% 3.12/1.97
% 3.12/1.97 % (1215)Memory used [KB]: 7291
% 3.12/1.97 % (1215)Time elapsed: 0.044 s
% 3.12/1.97 % (1215)Instructions burned: 149 (million)
% 3.12/1.97 % (1215)------------------------------
% 3.12/1.97 % (1215)------------------------------
% 3.12/1.98 % (1219)Instruction limit reached!
% 3.12/1.98 % (1219)------------------------------
% 3.12/1.98 % (1219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.98 % (1219)Termination reason: Unknown
% 3.12/1.98 % (1219)Termination phase: Preprocessing 3
% 3.12/1.98
% 3.12/1.98 % (1219)Memory used [KB]: 2174
% 3.12/1.98 % (1219)Time elapsed: 0.015 s
% 3.12/1.98 % (1219)Instructions burned: 47 (million)
% 3.12/1.98 % (1219)------------------------------
% 3.12/1.98 % (1219)------------------------------
% 3.12/1.98 % (1221)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_910 for (2995ds/432Mi)
% 3.12/1.99 % (1200)Instruction limit reached!
% 3.12/1.99 % (1200)------------------------------
% 3.12/1.99 % (1200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.99 % (1200)Termination reason: Unknown
% 3.12/1.99 % (1200)Termination phase: Saturation
% 3.12/1.99
% 3.12/1.99 % (1200)Memory used [KB]: 7803
% 3.12/1.99 % (1200)Time elapsed: 0.286 s
% 3.12/1.99 % (1200)Instructions burned: 881 (million)
% 3.12/1.99 % (1200)------------------------------
% 3.12/1.99 % (1200)------------------------------
% 3.12/1.99 % (1222)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_910 for (2995ds/62Mi)
% 3.12/1.99 % (1220)Instruction limit reached!
% 3.12/1.99 % (1220)------------------------------
% 3.12/1.99 % (1220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/1.99 % (1220)Termination reason: Unknown
% 3.12/1.99 % (1220)Termination phase: shuffling
% 3.12/1.99
% 3.12/1.99 % (1220)Memory used [KB]: 2430
% 3.12/1.99 % (1220)Time elapsed: 0.020 s
% 3.12/1.99 % (1220)Instructions burned: 46 (million)
% 3.12/1.99 % (1220)------------------------------
% 3.12/1.99 % (1220)------------------------------
% 3.12/2.00 % (1224)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_910 for (2995ds/31Mi)
% 3.12/2.01 % (1222)Instruction limit reached!
% 3.12/2.01 % (1222)------------------------------
% 3.12/2.01 % (1222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.12/2.01 % (1222)Termination reason: Unknown
% 3.12/2.01 % (1222)Termination phase: Property scanning
% 3.12/2.01
% 3.12/2.01 % (1222)Memory used [KB]: 2814
% 3.12/2.01 % (1222)Time elapsed: 0.018 s
% 3.12/2.01 % (1222)Instructions burned: 62 (million)
% 3.12/2.01 % (1222)------------------------------
% 3.12/2.01 % (1222)------------------------------
% 3.12/2.01 % (1225)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_910 for (2995ds/96Mi)
% 6.04/2.02 % (1226)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_910 for (2995ds/453Mi)
% 6.04/2.02 % (1224)Instruction limit reached!
% 6.04/2.02 % (1224)------------------------------
% 6.04/2.02 % (1224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.02 % (1224)Termination reason: Unknown
% 6.04/2.02 % (1224)Termination phase: Property scanning
% 6.04/2.02
% 6.04/2.02 % (1224)Memory used [KB]: 1918
% 6.04/2.02 % (1224)Time elapsed: 0.021 s
% 6.04/2.02 % (1224)Instructions burned: 32 (million)
% 6.04/2.02 % (1224)------------------------------
% 6.04/2.02 % (1224)------------------------------
% 6.04/2.04 % (1211)Instruction limit reached!
% 6.04/2.04 % (1211)------------------------------
% 6.04/2.04 % (1211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.04 % (1211)Termination reason: Unknown
% 6.04/2.04 % (1211)Termination phase: Saturation
% 6.04/2.04
% 6.04/2.04 % (1211)Memory used [KB]: 9083
% 6.04/2.04 % (1211)Time elapsed: 0.144 s
% 6.04/2.04 % (1211)Instructions burned: 448 (million)
% 6.04/2.04 % (1211)------------------------------
% 6.04/2.04 % (1211)------------------------------
% 6.04/2.04 % (1227)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_910 for (2995ds/71Mi)
% 6.04/2.04 % (1225)Instruction limit reached!
% 6.04/2.04 % (1225)------------------------------
% 6.04/2.04 % (1225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.04 % (1225)Termination reason: Unknown
% 6.04/2.04 % (1225)Termination phase: Saturation
% 6.04/2.04
% 6.04/2.04 % (1225)Memory used [KB]: 7036
% 6.04/2.04 % (1225)Time elapsed: 0.033 s
% 6.04/2.04 % (1225)Instructions burned: 99 (million)
% 6.04/2.04 % (1225)------------------------------
% 6.04/2.04 % (1225)------------------------------
% 6.04/2.05 % (1228)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_910 for (2995ds/83Mi)
% 6.04/2.05 % (1229)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_910 for (2995ds/11Mi)
% 6.04/2.05 % (1229)Instruction limit reached!
% 6.04/2.05 % (1229)------------------------------
% 6.04/2.05 % (1229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.05 % (1229)Termination reason: Unknown
% 6.04/2.05 % (1229)Termination phase: shuffling
% 6.04/2.05
% 6.04/2.05 % (1229)Memory used [KB]: 1791
% 6.04/2.05 % (1229)Time elapsed: 0.005 s
% 6.04/2.05 % (1229)Instructions burned: 14 (million)
% 6.04/2.05 % (1229)------------------------------
% 6.04/2.05 % (1229)------------------------------
% 6.04/2.06 % (1230)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_910 for (2995ds/41Mi)
% 6.04/2.08 % (1230)Instruction limit reached!
% 6.04/2.08 % (1230)------------------------------
% 6.04/2.08 % (1230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.08 % (1230)Termination reason: Unknown
% 6.04/2.08 % (1230)Termination phase: shuffling
% 6.04/2.08
% 6.04/2.08 % (1230)Memory used [KB]: 2430
% 6.04/2.08 % (1230)Time elapsed: 0.014 s
% 6.04/2.08 % (1230)Instructions burned: 44 (million)
% 6.04/2.08 % (1230)------------------------------
% 6.04/2.08 % (1230)------------------------------
% 6.04/2.08 % (1228)Instruction limit reached!
% 6.04/2.08 % (1228)------------------------------
% 6.04/2.08 % (1228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.08 % (1228)Termination reason: Unknown
% 6.04/2.08 % (1228)Termination phase: Saturation
% 6.04/2.08
% 6.04/2.08 % (1228)Memory used [KB]: 6524
% 6.04/2.08 % (1228)Time elapsed: 0.028 s
% 6.04/2.08 % (1228)Instructions burned: 84 (million)
% 6.04/2.08 % (1228)------------------------------
% 6.04/2.08 % (1228)------------------------------
% 6.04/2.08 % (1227)Instruction limit reached!
% 6.04/2.08 % (1227)------------------------------
% 6.04/2.08 % (1227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.08 % (1227)Termination reason: Unknown
% 6.04/2.08 % (1227)Termination phase: Property scanning
% 6.04/2.08
% 6.04/2.08 % (1227)Memory used [KB]: 2558
% 6.04/2.08 % (1227)Time elapsed: 0.042 s
% 6.04/2.08 % (1227)Instructions burned: 72 (million)
% 6.04/2.08 % (1227)------------------------------
% 6.04/2.08 % (1227)------------------------------
% 6.04/2.08 % (1214)Instruction limit reached!
% 6.04/2.08 % (1214)------------------------------
% 6.04/2.08 % (1214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.08 % (1214)Termination reason: Unknown
% 6.04/2.08 % (1214)Termination phase: Saturation
% 6.04/2.08
% 6.04/2.08 % (1214)Memory used [KB]: 8955
% 6.04/2.08 % (1214)Time elapsed: 0.154 s
% 6.04/2.08 % (1214)Instructions burned: 508 (million)
% 6.04/2.08 % (1214)------------------------------
% 6.04/2.08 % (1214)------------------------------
% 6.04/2.09 % (1232)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/150Mi)
% 6.04/2.09 % (1231)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/6Mi)
% 6.04/2.09 % (1231)Instruction limit reached!
% 6.04/2.09 % (1231)------------------------------
% 6.04/2.09 % (1231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.09 % (1231)Termination reason: Unknown
% 6.04/2.09 % (1231)Termination phase: shuffling
% 6.04/2.09
% 6.04/2.09 % (1231)Memory used [KB]: 1663
% 6.04/2.09 % (1231)Time elapsed: 0.004 s
% 6.04/2.09 % (1231)Instructions burned: 8 (million)
% 6.04/2.09 % (1231)------------------------------
% 6.04/2.09 % (1231)------------------------------
% 6.04/2.09 % (1234)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/109Mi)
% 6.04/2.10 % (1233)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/343Mi)
% 6.04/2.10 % (1235)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/253Mi)
% 6.04/2.11 % (1221)Instruction limit reached!
% 6.04/2.11 % (1221)------------------------------
% 6.04/2.11 % (1221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.11 % (1221)Termination reason: Unknown
% 6.04/2.11 % (1221)Termination phase: Saturation
% 6.04/2.11
% 6.04/2.11 % (1221)Memory used [KB]: 3965
% 6.04/2.11 % (1221)Time elapsed: 0.128 s
% 6.04/2.11 % (1221)Instructions burned: 432 (million)
% 6.04/2.11 % (1221)------------------------------
% 6.04/2.11 % (1221)------------------------------
% 6.04/2.11 % (1235)Refutation not found, incomplete strategy
% 6.04/2.11 % (1235)------------------------------
% 6.04/2.11 % (1235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.04/2.11 % (1235)Termination reason: Refutation not found, incomplete strategy
% 6.04/2.11
% 6.04/2.11
% 6.04/2.11 % (1235)Memory used [KB]: 6524
% 6.04/2.11 % (1235)Time elapsed: 0.014 s
% 6.04/2.11 % (1235)Instructions burned: 43 (million)
% 6.04/2.11 % (1235)------------------------------
% 6.04/2.11 % (1235)------------------------------
% 6.60/2.12 % (1236)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/140Mi)
% 6.60/2.12 % (1237)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/614Mi)
% 6.60/2.12 % (1234)Instruction limit reached!
% 6.60/2.12 % (1234)------------------------------
% 6.60/2.12 % (1234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.12 % (1234)Termination reason: Unknown
% 6.60/2.12 % (1234)Termination phase: Saturation
% 6.60/2.12
% 6.60/2.12 % (1234)Memory used [KB]: 7036
% 6.60/2.12 % (1234)Time elapsed: 0.033 s
% 6.60/2.12 % (1234)Instructions burned: 111 (million)
% 6.60/2.12 % (1234)------------------------------
% 6.60/2.12 % (1234)------------------------------
% 6.60/2.13 % (1232)Instruction limit reached!
% 6.60/2.13 % (1232)------------------------------
% 6.60/2.13 % (1232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.13 % (1232)Termination reason: Unknown
% 6.60/2.13 % (1232)Termination phase: Saturation
% 6.60/2.13
% 6.60/2.13 % (1232)Memory used [KB]: 7419
% 6.60/2.13 % (1232)Time elapsed: 0.046 s
% 6.60/2.13 % (1232)Instructions burned: 151 (million)
% 6.60/2.13 % (1232)------------------------------
% 6.60/2.13 % (1232)------------------------------
% 6.60/2.13 % (1238)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/202Mi)
% 6.60/2.14 % (1239)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/339Mi)
% 6.60/2.14 % (1226)Instruction limit reached!
% 6.60/2.14 % (1226)------------------------------
% 6.60/2.14 % (1226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.14 % (1226)Termination reason: Unknown
% 6.60/2.14 % (1226)Termination phase: Saturation
% 6.60/2.14
% 6.60/2.14 % (1226)Memory used [KB]: 8315
% 6.60/2.14 % (1226)Time elapsed: 0.153 s
% 6.60/2.14 % (1226)Instructions burned: 455 (million)
% 6.60/2.14 % (1226)------------------------------
% 6.60/2.14 % (1226)------------------------------
% 6.60/2.15 % (1240)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_910 for (2994ds/283Mi)
% 6.60/2.16 % (1236)Instruction limit reached!
% 6.60/2.16 % (1236)------------------------------
% 6.60/2.16 % (1236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.16 % (1236)Termination reason: Unknown
% 6.60/2.16 % (1236)Termination phase: Saturation
% 6.60/2.16
% 6.60/2.16 % (1236)Memory used [KB]: 7036
% 6.60/2.16 % (1236)Time elapsed: 0.046 s
% 6.60/2.16 % (1236)Instructions burned: 142 (million)
% 6.60/2.16 % (1236)------------------------------
% 6.60/2.16 % (1236)------------------------------
% 6.60/2.17 % (1241)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_910 for (2993ds/134Mi)
% 6.60/2.19 % (1238)Instruction limit reached!
% 6.60/2.19 % (1238)------------------------------
% 6.60/2.19 % (1238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.19 % (1238)Termination reason: Unknown
% 6.60/2.19 % (1238)Termination phase: Saturation
% 6.60/2.19
% 6.60/2.19 % (1238)Memory used [KB]: 6908
% 6.60/2.19 % (1238)Time elapsed: 0.064 s
% 6.60/2.19 % (1238)Instructions burned: 202 (million)
% 6.60/2.19 % (1238)------------------------------
% 6.60/2.19 % (1238)------------------------------
% 7.04/2.20 % (1242)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_910 for (2993ds/298Mi)
% 7.04/2.21 % (1241)Instruction limit reached!
% 7.04/2.21 % (1241)------------------------------
% 7.04/2.21 % (1241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.21 % (1241)Termination reason: Unknown
% 7.04/2.21 % (1241)Termination phase: Saturation
% 7.04/2.21
% 7.04/2.21 % (1241)Memory used [KB]: 7291
% 7.04/2.21 % (1241)Time elapsed: 0.041 s
% 7.04/2.21 % (1241)Instructions burned: 136 (million)
% 7.04/2.21 % (1241)------------------------------
% 7.04/2.21 % (1241)------------------------------
% 7.04/2.22 % (1233)Instruction limit reached!
% 7.04/2.22 % (1233)------------------------------
% 7.04/2.22 % (1233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.22 % (1233)Termination reason: Unknown
% 7.04/2.22 % (1233)Termination phase: Saturation
% 7.04/2.22
% 7.04/2.22 % (1233)Memory used [KB]: 7291
% 7.04/2.22 % (1233)Time elapsed: 0.122 s
% 7.04/2.22 % (1233)Instructions burned: 343 (million)
% 7.04/2.22 % (1233)------------------------------
% 7.04/2.22 % (1233)------------------------------
% 7.04/2.22 % (1243)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_910 for (2993ds/192Mi)
% 7.04/2.23 % (1244)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_910 for (2993ds/258Mi)
% 7.04/2.24 % (1240)Instruction limit reached!
% 7.04/2.24 % (1240)------------------------------
% 7.04/2.24 % (1240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.24 % (1240)Termination reason: Unknown
% 7.04/2.24 % (1240)Termination phase: Saturation
% 7.04/2.24
% 7.04/2.24 % (1240)Memory used [KB]: 7931
% 7.04/2.24 % (1240)Time elapsed: 0.084 s
% 7.04/2.24 % (1240)Instructions burned: 285 (million)
% 7.04/2.24 % (1240)------------------------------
% 7.04/2.24 % (1240)------------------------------
% 7.04/2.24 % (1239)Instruction limit reached!
% 7.04/2.24 % (1239)------------------------------
% 7.04/2.24 % (1239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.24 % (1239)Termination reason: Unknown
% 7.04/2.24 % (1239)Termination phase: Saturation
% 7.04/2.24
% 7.04/2.24 % (1239)Memory used [KB]: 8315
% 7.04/2.24 % (1239)Time elapsed: 0.106 s
% 7.04/2.24 % (1239)Instructions burned: 341 (million)
% 7.04/2.24 % (1239)------------------------------
% 7.04/2.24 % (1239)------------------------------
% 7.04/2.25 % (1245)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_910 for (2993ds/90Mi)
% 7.04/2.25 % (1246)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_910 for (2993ds/231Mi)
% 7.04/2.27 % (1245)Instruction limit reached!
% 7.04/2.27 % (1245)------------------------------
% 7.04/2.27 % (1245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.27 % (1245)Termination reason: Unknown
% 7.04/2.27 % (1245)Termination phase: Property scanning
% 7.04/2.27
% 7.04/2.27 % (1245)Memory used [KB]: 2558
% 7.04/2.27 % (1245)Time elapsed: 0.027 s
% 7.04/2.27 % (1245)Instructions burned: 92 (million)
% 7.04/2.27 % (1245)------------------------------
% 7.04/2.27 % (1245)------------------------------
% 7.04/2.28 % (1243)Instruction limit reached!
% 7.04/2.28 % (1243)------------------------------
% 7.04/2.28 % (1243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.28 % (1243)Termination reason: Unknown
% 7.04/2.28 % (1243)Termination phase: Saturation
% 7.04/2.28
% 7.04/2.28 % (1243)Memory used [KB]: 8955
% 7.04/2.28 % (1243)Time elapsed: 0.059 s
% 7.04/2.28 % (1243)Instructions burned: 194 (million)
% 7.04/2.28 % (1243)------------------------------
% 7.04/2.28 % (1243)------------------------------
% 7.04/2.28 % (1247)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/458Mi)
% 7.04/2.29 % (1242)Instruction limit reached!
% 7.04/2.29 % (1242)------------------------------
% 7.04/2.29 % (1242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.29 % (1242)Termination reason: Unknown
% 7.04/2.29 % (1242)Termination phase: Saturation
% 7.04/2.29
% 7.04/2.29 % (1242)Memory used [KB]: 8827
% 7.04/2.29 % (1242)Time elapsed: 0.083 s
% 7.04/2.29 % (1242)Instructions burned: 300 (million)
% 7.04/2.29 % (1242)------------------------------
% 7.04/2.29 % (1242)------------------------------
% 7.04/2.29 % (1248)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/31Mi)
% 7.04/2.30 % (1218)Instruction limit reached!
% 7.04/2.30 % (1218)------------------------------
% 7.04/2.30 % (1218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.30 % (1218)Termination reason: Unknown
% 7.04/2.30 % (1218)Termination phase: Saturation
% 7.04/2.30
% 7.04/2.30 % (1218)Memory used [KB]: 7803
% 7.04/2.30 % (1218)Time elapsed: 0.340 s
% 7.04/2.30 % (1218)Instructions burned: 1088 (million)
% 7.04/2.30 % (1218)------------------------------
% 7.04/2.30 % (1218)------------------------------
% 7.04/2.30 % (1249)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/297Mi)
% 7.74/2.30 % (1248)Instruction limit reached!
% 7.74/2.30 % (1248)------------------------------
% 7.74/2.30 % (1248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.30 % (1248)Termination reason: Unknown
% 7.74/2.30 % (1248)Termination phase: Property scanning
% 7.74/2.30
% 7.74/2.30 % (1248)Memory used [KB]: 1918
% 7.74/2.30 % (1248)Time elapsed: 0.011 s
% 7.74/2.30 % (1248)Instructions burned: 32 (million)
% 7.74/2.30 % (1248)------------------------------
% 7.74/2.30 % (1248)------------------------------
% 7.74/2.30 % (1244)Instruction limit reached!
% 7.74/2.30 % (1244)------------------------------
% 7.74/2.30 % (1244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.30 % (1244)Termination reason: Unknown
% 7.74/2.30 % (1244)Termination phase: Saturation
% 7.74/2.30
% 7.74/2.30 % (1244)Memory used [KB]: 7291
% 7.74/2.30 % (1244)Time elapsed: 0.079 s
% 7.74/2.30 % (1244)Instructions burned: 259 (million)
% 7.74/2.30 % (1244)------------------------------
% 7.74/2.30 % (1244)------------------------------
% 7.74/2.30 % (1237)Instruction limit reached!
% 7.74/2.30 % (1237)------------------------------
% 7.74/2.30 % (1237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.30 % (1237)Termination reason: Unknown
% 7.74/2.30 % (1237)Termination phase: Saturation
% 7.74/2.30
% 7.74/2.30 % (1237)Memory used [KB]: 7803
% 7.74/2.30 % (1237)Time elapsed: 0.185 s
% 7.74/2.30 % (1237)Instructions burned: 615 (million)
% 7.74/2.30 % (1237)------------------------------
% 7.74/2.30 % (1237)------------------------------
% 7.74/2.30 % (1250)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/987Mi)
% 7.74/2.31 % (1251)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/182Mi)
% 7.74/2.31 % (1252)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/182Mi)
% 7.74/2.31 % (1253)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/154Mi)
% 7.74/2.32 % (1246)Instruction limit reached!
% 7.74/2.32 % (1246)------------------------------
% 7.74/2.32 % (1246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.32 % (1246)Termination reason: Unknown
% 7.74/2.32 % (1246)Termination phase: Saturation
% 7.74/2.32
% 7.74/2.32 % (1246)Memory used [KB]: 7803
% 7.74/2.32 % (1246)Time elapsed: 0.065 s
% 7.74/2.32 % (1246)Instructions burned: 232 (million)
% 7.74/2.32 % (1246)------------------------------
% 7.74/2.32 % (1246)------------------------------
% 7.74/2.33 % (1254)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/79Mi)
% 7.74/2.35 % (1254)Instruction limit reached!
% 7.74/2.35 % (1254)------------------------------
% 7.74/2.35 % (1254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.35 % (1254)Termination reason: Unknown
% 7.74/2.35 % (1254)Termination phase: Property scanning
% 7.74/2.35
% 7.74/2.35 % (1254)Memory used [KB]: 2558
% 7.74/2.35 % (1254)Time elapsed: 0.024 s
% 7.74/2.35 % (1254)Instructions burned: 79 (million)
% 7.74/2.35 % (1254)------------------------------
% 7.74/2.35 % (1254)------------------------------
% 7.74/2.36 % (1253)Instruction limit reached!
% 7.74/2.36 % (1253)------------------------------
% 7.74/2.36 % (1253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.36 % (1253)Termination reason: Unknown
% 7.74/2.36 % (1253)Termination phase: Property scanning
% 7.74/2.36
% 7.74/2.36 % (1253)Memory used [KB]: 2942
% 7.74/2.36 % (1253)Time elapsed: 0.042 s
% 7.74/2.36 % (1253)Instructions burned: 155 (million)
% 7.74/2.36 % (1253)------------------------------
% 7.74/2.36 % (1253)------------------------------
% 7.74/2.36 % (1255)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/216Mi)
% 7.74/2.36 % (1251)Instruction limit reached!
% 7.74/2.36 % (1251)------------------------------
% 7.74/2.36 % (1251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.36 % (1251)Termination reason: Unknown
% 7.74/2.36 % (1251)Termination phase: Saturation
% 7.74/2.36
% 7.74/2.36 % (1251)Memory used [KB]: 7419
% 7.74/2.36 % (1251)Time elapsed: 0.054 s
% 7.74/2.36 % (1251)Instructions burned: 182 (million)
% 7.74/2.36 % (1251)------------------------------
% 7.74/2.36 % (1251)------------------------------
% 7.74/2.37 % (1256)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/114Mi)
% 7.74/2.37 % (1252)Instruction limit reached!
% 7.74/2.37 % (1252)------------------------------
% 7.74/2.37 % (1252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.37 % (1252)Termination reason: Unknown
% 7.74/2.37 % (1252)Termination phase: Saturation
% 7.74/2.37
% 7.74/2.37 % (1252)Memory used [KB]: 7419
% 7.74/2.37 % (1252)Time elapsed: 0.056 s
% 7.74/2.37 % (1252)Instructions burned: 182 (million)
% 7.74/2.37 % (1252)------------------------------
% 7.74/2.37 % (1252)------------------------------
% 7.74/2.37 % (1257)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/922Mi)
% 7.74/2.38 % (1258)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_910 for (2992ds/182Mi)
% 7.74/2.38 % (1249)Instruction limit reached!
% 7.74/2.38 % (1249)------------------------------
% 7.74/2.38 % (1249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.38 % (1249)Termination reason: Unknown
% 7.74/2.38 % (1249)Termination phase: Saturation
% 7.74/2.38
% 7.74/2.38 % (1249)Memory used [KB]: 7803
% 7.74/2.38 % (1249)Time elapsed: 0.089 s
% 7.74/2.38 % (1249)Instructions burned: 297 (million)
% 7.74/2.38 % (1249)------------------------------
% 7.74/2.38 % (1249)------------------------------
% 7.74/2.39 % (1259)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_910 for (2991ds/164Mi)
% 8.43/2.40 % (1256)Instruction limit reached!
% 8.43/2.40 % (1256)------------------------------
% 8.43/2.40 % (1256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.43/2.40 % (1256)Termination reason: Unknown
% 8.43/2.40 % (1256)Termination phase: Saturation
% 8.43/2.40
% 8.43/2.40 % (1256)Memory used [KB]: 7164
% 8.43/2.40 % (1256)Time elapsed: 0.034 s
% 8.43/2.40 % (1256)Instructions burned: 114 (million)
% 8.43/2.40 % (1256)------------------------------
% 8.43/2.40 % (1256)------------------------------
% 8.43/2.41 % (1260)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_910 for (2991ds/50Mi)
% 8.43/2.41 % (1247)First to succeed.
% 8.43/2.41 % (1247)Refutation found. Thanks to Tanya!
% 8.43/2.41 % SZS status Theorem for DTF2THF_910
% 8.43/2.41 % SZS output start Proof for DTF2THF_910
% 8.43/2.41 thf(type_def_5, type, produc696645085lle_fm: $tType).
% 8.43/2.41 thf(type_def_7, type, produc1647334210lle_tv: $tType).
% 8.43/2.41 thf(type_def_8, type, paraco1605129243lle_tv: $tType).
% 8.43/2.41 thf(type_def_9, type, set_Pr2014382200lle_tv: $tType).
% 8.43/2.41 thf(type_def_10, type, set_Pa1764573435lle_tv: $tType).
% 8.43/2.41 thf(type_def_11, type, list_char: $tType).
% 8.43/2.41 thf(type_def_12, type, paraco1604210848lle_fm: $tType).
% 8.43/2.41 thf(type_def_13, type, nat: $tType).
% 8.43/2.41 thf(type_def_14, type, produc1852595672lle_tv: $tType).
% 8.43/2.41 thf(type_def_15, type, produc1443694919lle_tv: $tType).
% 8.43/2.41 thf(type_def_16, type, produc450659916lle_fm: $tType).
% 8.43/2.41 thf(type_def_17, type, produc1250255278lle_fm: $tType).
% 8.43/2.41 thf(type_def_18, type, produc484385668lle_tv: $tType).
% 8.43/2.41 thf(type_def_19, type, set_li72793489lle_tv: $tType).
% 8.43/2.41 thf(type_def_20, type, set_Pa1499417344lle_fm: $tType).
% 8.43/2.41 thf(type_def_21, type, set_Pr2120184979lle_fm: $tType).
% 8.43/2.41 thf(type_def_22, type, set_Pr1723822845lle_tv: $tType).
% 8.43/2.41 thf(type_def_23, type, set_Pr2061825550lle_tv: $tType).
% 8.43/2.41 thf(type_def_24, type, set_Pr1475944804lle_fm: $tType).
% 8.43/2.41 thf(type_def_25, type, set_Pr2012908090lle_tv: $tType).
% 8.43/2.41 thf(type_def_26, type, set_o: $tType).
% 8.43/2.41 thf(type_def_27, type, set_Pr1019238018lle_fm: $tType).
% 8.43/2.41 thf(type_def_28, type, set_Pr38785645e_tv_o: $tType).
% 8.43/2.41 thf(func_def_0, type, set_Pr1475944804lle_fm: $tType).
% 8.43/2.41 thf(func_def_1, type, produc1250255278lle_fm: $tType).
% 8.43/2.41 thf(func_def_2, type, set_Pr2012908090lle_tv: $tType).
% 8.43/2.41 thf(func_def_3, type, produc484385668lle_tv: $tType).
% 8.43/2.41 thf(func_def_4, type, set_Pr2061825550lle_tv: $tType).
% 8.43/2.41 thf(func_def_5, type, produc1852595672lle_tv: $tType).
% 8.43/2.41 thf(func_def_6, type, set_Pr1723822845lle_tv: $tType).
% 8.43/2.41 thf(func_def_7, type, set_Pr2120184979lle_fm: $tType).
% 8.43/2.41 thf(func_def_8, type, produc1443694919lle_tv: $tType).
% 8.43/2.41 thf(func_def_9, type, produc696645085lle_fm: $tType).
% 8.43/2.41 thf(func_def_10, type, set_Pr38785645e_tv_o: $tType).
% 8.43/2.41 thf(func_def_11, type, set_Pr2014382200lle_tv: $tType).
% 8.43/2.41 thf(func_def_12, type, set_Pr1019238018lle_fm: $tType).
% 8.43/2.41 thf(func_def_13, type, produc1647334210lle_tv: $tType).
% 8.43/2.41 thf(func_def_14, type, produc450659916lle_fm: $tType).
% 8.43/2.41 thf(func_def_15, type, set_li72793489lle_tv: $tType).
% 8.43/2.41 thf(func_def_16, type, set_Pa1764573435lle_tv: $tType).
% 8.43/2.41 thf(func_def_17, type, set_Pa1499417344lle_fm: $tType).
% 8.43/2.41 thf(func_def_18, type, paraco1605129243lle_tv: $tType).
% 8.43/2.41 thf(func_def_19, type, paraco1604210848lle_fm: $tType).
% 8.43/2.41 thf(func_def_20, type, list_char: $tType).
% 8.43/2.41 thf(func_def_21, type, set_o: $tType).
% 8.43/2.41 thf(func_def_22, type, nat: $tType).
% 8.43/2.41 thf(func_def_23, type, the_Pr1724341910lle_fm: (produc696645085lle_fm > $o) > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_24, type, the_Pr304385787lle_tv: (produc1647334210lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_25, type, if_Par1134130401lle_tv: $o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_26, type, order_1376767238lle_tv: set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv).
% 8.43/2.41 thf(func_def_27, type, order_1434492699lle_tv: set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv).
% 8.43/2.41 thf(func_def_28, type, order_1215526505lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > set_Pa1764573435lle_tv > set_Pr2014382200lle_tv).
% 8.43/2.41 thf(func_def_29, type, paraco1325918602e_eval: (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_30, type, paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_31, type, paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_32, type, paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_33, type, paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_34, type, paraco1480028776le_Pro: list_char > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_35, type, paraco367965286_Truth: paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_36, type, paraco1344940915le_Det: $o > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_37, type, paraco793048302_Indet: nat > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_38, type, paraco2051596139lle_tv: ($o > paraco1605129243lle_tv) > (nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_39, type, paraco327635598_valid: paraco1604210848lle_fm > $o).
% 8.43/2.41 thf(func_def_40, type, produc1297923922lle_tv: (list_char > paraco1605129243lle_tv) > (list_char > paraco1605129243lle_tv) > produc1852595672lle_tv).
% 8.43/2.41 thf(func_def_41, type, produc1710735575lle_fm: (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_42, type, produc1943344577lle_tv: paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc1443694919lle_tv).
% 8.43/2.41 thf(func_def_43, type, produc1126104134lle_fm: paraco1604210848lle_fm > paraco1604210848lle_fm > produc450659916lle_fm).
% 8.43/2.41 thf(func_def_44, type, produc2058540732lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_45, type, produc407632608lle_fm: produc696645085lle_fm > produc696645085lle_fm > produc1250255278lle_fm).
% 8.43/2.41 thf(func_def_46, type, produc1537086518lle_tv: produc1647334210lle_tv > produc1647334210lle_tv > produc484385668lle_tv).
% 8.43/2.41 thf(func_def_47, type, produc327378790lle_fm: set_li72793489lle_tv > ((list_char > paraco1605129243lle_tv) > set_Pa1499417344lle_fm) > set_Pr2120184979lle_fm).
% 8.43/2.41 thf(func_def_48, type, produc559987792lle_tv: set_Pa1499417344lle_fm > (paraco1604210848lle_fm > set_li72793489lle_tv) > set_Pr1723822845lle_tv).
% 8.43/2.41 thf(func_def_49, type, produc479904331lle_tv: set_Pa1764573435lle_tv > (paraco1605129243lle_tv > set_Pa1764573435lle_tv) > set_Pr2014382200lle_tv).
% 8.43/2.41 thf(func_def_50, type, produc234482697lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_51, type, produc1667860344e_tv_o: (produc1852595672lle_tv > $o) > (list_char > paraco1605129243lle_tv) > (list_char > paraco1605129243lle_tv) > $o).
% 8.43/2.41 thf(func_def_52, type, produc275353523e_fm_o: (produc696645085lle_fm > $o) > (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o).
% 8.43/2.41 thf(func_def_53, type, produc251170289lle_fm: (produc696645085lle_fm > produc696645085lle_fm) > (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_54, type, produc298562633e_tv_o: (produc1443694919lle_tv > $o) > paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > $o).
% 8.43/2.41 thf(func_def_55, type, produc635060359lle_fm: (produc1443694919lle_tv > produc696645085lle_fm) > paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_56, type, produc1339594628e_fm_o: (produc450659916lle_fm > $o) > paraco1604210848lle_fm > paraco1604210848lle_fm > $o).
% 8.43/2.41 thf(func_def_57, type, produc2005494902e_tv_o: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o).
% 8.43/2.41 thf(func_def_58, type, produc621423502e_tv_o: (produc1647334210lle_tv > $o) > paraco1605129243lle_tv > paraco1605129243lle_tv > $o).
% 8.43/2.41 thf(func_def_59, type, produc724036226lle_tv: (produc1647334210lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_60, type, produc408556266e_fm_o: (produc1250255278lle_fm > $o) > produc696645085lle_fm > produc696645085lle_fm > $o).
% 8.43/2.41 thf(func_def_61, type, produc1113543188e_tv_o: (produc484385668lle_tv > $o) > produc1647334210lle_tv > produc1647334210lle_tv > $o).
% 8.43/2.41 thf(func_def_62, type, produc1504058474e_fm_o: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > $o).
% 8.43/2.41 thf(func_def_63, type, produc144063912lle_fm: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > produc696645085lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_64, type, produc527953982lle_fm: (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > produc1443694919lle_tv > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_65, type, produc2050176383e_tv_o: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv > produc1647334210lle_tv > $o).
% 8.43/2.41 thf(func_def_66, type, produc192124683lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_67, type, produc323213387e_tv_o: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc484385668lle_tv > $o).
% 8.43/2.41 thf(func_def_68, type, produc1900967599lle_fm: ((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > (paraco1604210848lle_fm > paraco1604210848lle_fm) > produc696645085lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_69, type, produc918997546lle_tv: ((list_char > paraco1605129243lle_tv) > paraco1605129243lle_tv) > (paraco1604210848lle_fm > paraco1605129243lle_tv) > produc696645085lle_fm > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_70, type, produc2008706836lle_fm: (paraco1605129243lle_tv > list_char > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1604210848lle_fm) > produc1647334210lle_tv > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_71, type, produc1345917071lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_72, type, produc101320793e_tv_o: ((list_char > paraco1605129243lle_tv) > (list_char > paraco1605129243lle_tv) > $o) > produc1852595672lle_tv > $o).
% 8.43/2.41 thf(func_def_73, type, produc1949847036lle_tv: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv) > produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_74, type, produc1221696404e_fm_o: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > $o).
% 8.43/2.41 thf(func_def_75, type, produc427355858lle_fm: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > produc696645085lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_76, type, produc401650381lle_tv: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc1647334210lle_tv) > produc696645085lle_fm > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_77, type, produc1244905514e_tv_o: (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > $o) > produc1443694919lle_tv > $o).
% 8.43/2.41 thf(func_def_78, type, produc811245928lle_fm: (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > produc1443694919lle_tv > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_79, type, produc1629543915lle_tv: (paraco1604210848lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv) > produc450659916lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_80, type, produc182748835lle_fm: (paraco1604210848lle_fm > paraco1604210848lle_fm > produc696645085lle_fm) > produc450659916lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_81, type, produc1370344801lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > list_char > paraco1605129243lle_tv) > produc1647334210lle_tv > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_82, type, produc25129173e_tv_o: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv > produc1647334210lle_tv > $o).
% 8.43/2.41 thf(func_def_83, type, produc852673135e_tv_o: (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > produc1647334210lle_tv > $o).
% 8.43/2.41 thf(func_def_84, type, produc1882560353lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_85, type, produc377990317lle_fm: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc696645085lle_fm) > produc1647334210lle_tv > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_86, type, produc942307752lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_87, type, produc1234307915e_fm_o: (produc696645085lle_fm > produc696645085lle_fm > $o) > produc1250255278lle_fm > $o).
% 8.43/2.41 thf(func_def_88, type, produc648306805e_tv_o: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc484385668lle_tv > $o).
% 8.43/2.41 thf(func_def_89, type, produc29804011lle_fm: produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_90, type, produc262413013lle_tv: produc1443694919lle_tv > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_91, type, produc488585168lle_tv: produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_92, type, produc148705065lle_fm: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_93, type, produc381314067lle_tv: produc1443694919lle_tv > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_94, type, produc1837067022lle_tv: produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_95, type, produc1176291762lle_tv: produc1852595672lle_tv > produc1852595672lle_tv).
% 8.43/2.41 thf(func_def_96, type, produc1000205111lle_fm: produc696645085lle_fm > produc1443694919lle_tv).
% 8.43/2.41 thf(func_def_97, type, produc1232814113lle_tv: produc1443694919lle_tv > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_98, type, produc1426802342lle_fm: produc450659916lle_fm > produc450659916lle_fm).
% 8.43/2.41 thf(func_def_99, type, produc211755292lle_tv: produc1647334210lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_100, type, produc116249920lle_fm: produc1250255278lle_fm > produc1250255278lle_fm).
% 8.43/2.41 thf(func_def_101, type, produc1733045910lle_tv: produc484385668lle_tv > produc484385668lle_tv).
% 8.43/2.41 thf(func_def_102, type, inv_im719552961lle_tv: set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pr2014382200lle_tv).
% 8.43/2.41 thf(func_def_103, type, collec1351702300lle_tv: ((list_char > paraco1605129243lle_tv) > $o) > set_li72793489lle_tv).
% 8.43/2.41 thf(func_def_104, type, collec1111687558lle_tv: (paraco1605129243lle_tv > $o) > set_Pa1764573435lle_tv).
% 8.43/2.41 thf(func_def_105, type, collec1102043437lle_tv: (produc1852595672lle_tv > $o) > set_Pr2061825550lle_tv).
% 8.43/2.41 thf(func_def_106, type, collec835549234lle_fm: (produc696645085lle_fm > $o) > set_Pr2120184979lle_fm).
% 8.43/2.41 thf(func_def_107, type, collec15260823lle_tv: (produc1647334210lle_tv > $o) > set_Pr2014382200lle_tv).
% 8.43/2.41 thf(func_def_108, type, collec1363950211lle_fm: (produc1250255278lle_fm > $o) > set_Pr1475944804lle_fm).
% 8.43/2.41 thf(func_def_109, type, collec1900284505lle_tv: (produc484385668lle_tv > $o) > set_Pr2012908090lle_tv).
% 8.43/2.41 thf(func_def_110, type, image_305309148lle_tv: (produc696645085lle_fm > list_char > paraco1605129243lle_tv) > set_Pr2120184979lle_fm > set_li72793489lle_tv).
% 8.43/2.41 thf(func_def_111, type, image_1402739636e_fm_o: (produc696645085lle_fm > $o) > set_Pr2120184979lle_fm > set_o).
% 8.43/2.41 thf(func_def_112, type, image_807538418lle_fm: (produc696645085lle_fm > produc696645085lle_fm) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm).
% 8.43/2.41 thf(func_def_113, type, image_924970994lle_tv: (produc696645085lle_fm > produc1443694919lle_tv) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv).
% 8.43/2.41 thf(func_def_114, type, image_1110913773lle_tv: (produc696645085lle_fm > produc1647334210lle_tv) > set_Pr2120184979lle_fm > set_Pr2014382200lle_tv).
% 8.43/2.41 thf(func_def_115, type, image_326034184lle_fm: (produc1443694919lle_tv > produc696645085lle_fm) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm).
% 8.43/2.41 thf(func_def_116, type, image_496052427lle_tv: (produc450659916lle_fm > list_char > paraco1605129243lle_tv) > set_Pr1019238018lle_fm > set_li72793489lle_tv).
% 8.43/2.41 thf(func_def_117, type, image_1662022595lle_fm: (produc450659916lle_fm > produc696645085lle_fm) > set_Pr1019238018lle_fm > set_Pr2120184979lle_fm).
% 8.43/2.41 thf(func_def_118, type, image_1070648001lle_tv: (produc1647334210lle_tv > list_char > paraco1605129243lle_tv) > set_Pr2014382200lle_tv > set_li72793489lle_tv).
% 8.43/2.41 thf(func_def_119, type, image_1015627317e_tv_o: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > set_Pr2014382200lle_tv > set_Pr38785645e_tv_o).
% 8.43/2.41 thf(func_def_120, type, image_1263514817lle_tv: (produc1647334210lle_tv > paraco1605129243lle_tv) > set_Pr2014382200lle_tv > set_Pa1764573435lle_tv).
% 8.43/2.41 thf(func_def_121, type, image_937396045lle_fm: (produc1647334210lle_tv > produc696645085lle_fm) > set_Pr2014382200lle_tv > set_Pr2120184979lle_fm).
% 8.43/2.41 thf(func_def_122, type, image_1221801032lle_tv: (produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > set_Pr2014382200lle_tv).
% 8.43/2.41 thf(func_def_123, type, image_1610089293e_tv_o: (produc484385668lle_tv > $o) > set_Pr2012908090lle_tv > set_o).
% 8.43/2.41 thf(func_def_124, type, lex_pr2001015487lle_fm: set_Pr2061825550lle_tv > set_Pr1019238018lle_fm > set_Pr1475944804lle_fm).
% 8.43/2.41 thf(func_def_125, type, lex_pr567812260lle_tv: set_Pr2014382200lle_tv > set_Pr2014382200lle_tv > set_Pr2012908090lle_tv).
% 8.43/2.41 thf(func_def_126, type, same_f1581085506lle_fm: ((list_char > paraco1605129243lle_tv) > $o) > ((list_char > paraco1605129243lle_tv) > set_Pr1019238018lle_fm) > set_Pr1475944804lle_fm).
% 8.43/2.41 thf(func_def_127, type, same_f1119076903lle_tv: (paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > set_Pr2014382200lle_tv) > set_Pr2012908090lle_tv).
% 8.43/2.41 thf(func_def_128, type, member894927066lle_tv: (list_char > paraco1605129243lle_tv) > set_li72793489lle_tv > $o).
% 8.43/2.41 thf(func_def_129, type, member1832524214e_tv_o: (produc1647334210lle_tv > $o) > set_Pr38785645e_tv_o > $o).
% 8.43/2.41 thf(func_def_130, type, member_o: $o > set_o > $o).
% 8.43/2.41 thf(func_def_131, type, member265982409lle_fm: paraco1604210848lle_fm > set_Pa1499417344lle_fm > $o).
% 8.43/2.41 thf(func_def_132, type, member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o).
% 8.43/2.41 thf(func_def_133, type, member146333935lle_tv: produc1852595672lle_tv > set_Pr2061825550lle_tv > $o).
% 8.43/2.41 thf(func_def_134, type, member1474794996lle_fm: produc696645085lle_fm > set_Pr2120184979lle_fm > $o).
% 8.43/2.41 thf(func_def_135, type, member74361182lle_tv: produc1443694919lle_tv > set_Pr1723822845lle_tv > $o).
% 8.43/2.41 thf(func_def_136, type, member334644067lle_fm: produc450659916lle_fm > set_Pr1019238018lle_fm > $o).
% 8.43/2.41 thf(func_def_137, type, member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o).
% 8.43/2.41 thf(func_def_138, type, member1592865093lle_fm: produc1250255278lle_fm > set_Pr1475944804lle_fm > $o).
% 8.43/2.41 thf(func_def_139, type, member1074212123lle_tv: produc484385668lle_tv > set_Pr2012908090lle_tv > $o).
% 8.43/2.41 thf(func_def_140, type, p: paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_158, type, sP0: (paraco1604210848lle_fm > $o) > $o).
% 8.43/2.41 thf(func_def_159, type, sP1: (paraco1604210848lle_fm > $o) > $o).
% 8.43/2.41 thf(func_def_160, type, sK2: produc1852595672lle_tv > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_161, type, sK3: produc1852595672lle_tv > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_162, type, sK4: produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_163, type, sK5: produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_164, type, sK6: (produc1852595672lle_tv > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_165, type, sK7: (produc1852595672lle_tv > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_166, type, sK8: (paraco1605129243lle_tv > $o) > nat).
% 8.43/2.41 thf(func_def_167, type, sK9: (paraco1605129243lle_tv > set_Pa1764573435lle_tv) > set_Pa1764573435lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_168, type, sK10: (paraco1605129243lle_tv > set_Pa1764573435lle_tv) > set_Pa1764573435lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_169, type, sK11: (produc484385668lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_170, type, sK12: (produc484385668lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_171, type, sK13: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > ((produc1647334210lle_tv > $o) > $o) > produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_172, type, sK14: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > ((produc1647334210lle_tv > $o) > $o) > produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_173, type, sK15: produc450659916lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_174, type, sK16: produc450659916lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_175, type, sK17: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_176, type, sK18: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_177, type, sK19: (produc1852595672lle_tv > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_178, type, sK20: (produc1852595672lle_tv > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_179, type, sK21: (paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_180, type, sK22: (produc450659916lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_181, type, sK23: (produc450659916lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_182, type, sK24: (produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_183, type, sK25: (produc696645085lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_184, type, sK26: produc484385668lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_185, type, sK27: produc484385668lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_186, type, sK28: (paraco1605129243lle_tv > $o) > $o).
% 8.43/2.41 thf(func_def_187, type, sK29: (paraco1605129243lle_tv > $o) > nat).
% 8.43/2.41 thf(func_def_188, type, sK30: produc1852595672lle_tv > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_189, type, sK31: produc1852595672lle_tv > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_190, type, sK32: paraco1605129243lle_tv > nat).
% 8.43/2.41 thf(func_def_191, type, sK33: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_192, type, sK34: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_193, type, sK35: (produc1647334210lle_tv > $o) > (produc1647334210lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_194, type, sK36: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > ($o > $o) > produc484385668lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_195, type, sK37: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > ($o > $o) > produc484385668lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_196, type, sK38: (produc484385668lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_197, type, sK39: (produc484385668lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_198, type, sK40: (produc484385668lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_199, type, sK41: produc696645085lle_fm > ($o > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_200, type, sK42: produc696645085lle_fm > ($o > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_201, type, sK43: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_202, type, sK44: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_203, type, sK45: produc1250255278lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_204, type, sK46: produc1250255278lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_205, type, sK47: (produc1250255278lle_fm > $o) > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_206, type, sK48: (produc1250255278lle_fm > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_207, type, sK49: (produc1250255278lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_208, type, sK50: paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_209, type, sK51: paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_210, type, sK52: paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_211, type, sK53: paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_212, type, sK54: paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_213, type, sK55: paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_214, type, sK56: paraco1604210848lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_215, type, sK57: paraco1604210848lle_fm > list_char).
% 8.43/2.41 thf(func_def_216, type, sK58: (produc1250255278lle_fm > $o) > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_217, type, sK59: (produc1250255278lle_fm > $o) > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_218, type, sK60: produc1443694919lle_tv > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_219, type, sK61: produc1443694919lle_tv > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_220, type, sK62: produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_221, type, sK63: produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_222, type, sK64: (paraco1605129243lle_tv > $o) > produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_223, type, sK65: (paraco1605129243lle_tv > $o) > produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_224, type, sK66: (produc696645085lle_fm > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_225, type, sK67: (produc696645085lle_fm > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_226, type, sK68: produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_227, type, sK69: produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_228, type, sK70: produc484385668lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_229, type, sK71: produc484385668lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_230, type, sK72: produc1647334210lle_tv > set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_231, type, sK73: produc1647334210lle_tv > set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_232, type, sK74: (produc484385668lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_233, type, sK75: (produc484385668lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_234, type, sK76: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > (produc696645085lle_fm > produc696645085lle_fm) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_235, type, sK77: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > (produc696645085lle_fm > produc696645085lle_fm) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_236, type, sK78: produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_237, type, sK79: produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_238, type, sK80: ((list_char > paraco1605129243lle_tv) > set_Pa1499417344lle_fm) > produc696645085lle_fm > set_li72793489lle_tv > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_239, type, sK81: ((list_char > paraco1605129243lle_tv) > set_Pa1499417344lle_fm) > produc696645085lle_fm > set_li72793489lle_tv > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_240, type, sK82: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc484385668lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_241, type, sK83: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc484385668lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_242, type, sK84: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > (produc484385668lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_243, type, sK85: (produc1647334210lle_tv > produc1647334210lle_tv > $o) > (produc484385668lle_tv > $o) > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_244, type, sK86: produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_245, type, sK87: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_246, type, sK88: produc1250255278lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_247, type, sK89: produc1250255278lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_248, type, sK90: produc1250255278lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_249, type, sK91: (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > produc1443694919lle_tv > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_250, type, sK92: (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > produc1443694919lle_tv > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_251, type, sK93: produc1443694919lle_tv > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_252, type, sK94: produc1443694919lle_tv > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_253, type, sK95: (produc1647334210lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_254, type, sK96: (produc1647334210lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_255, type, sK97: produc484385668lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_256, type, sK98: produc484385668lle_tv > produc1647334210lle_tv).
% 8.43/2.41 thf(func_def_257, type, sK99: produc484385668lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_258, type, sK100: (produc1443694919lle_tv > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_259, type, sK101: (produc1443694919lle_tv > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_260, type, sK102: (produc450659916lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_261, type, sK103: (produc450659916lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_262, type, sK104: (produc1250255278lle_fm > $o) > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_263, type, sK105: (produc1250255278lle_fm > $o) > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_264, type, sK106: produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_265, type, sK107: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_266, type, sK108: (produc1443694919lle_tv > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_267, type, sK109: (produc1443694919lle_tv > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_268, type, sK110: (paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_269, type, sK111: (paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_270, type, sK112: produc450659916lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_271, type, sK113: produc450659916lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_272, type, sK114: (paraco1604210848lle_fm > paraco1605129243lle_tv) > produc1647334210lle_tv > set_Pr2120184979lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1605129243lle_tv) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_273, type, sK115: (paraco1604210848lle_fm > paraco1605129243lle_tv) > produc1647334210lle_tv > set_Pr2120184979lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_274, type, sK116: (produc1443694919lle_tv > produc696645085lle_fm) > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_275, type, sK117: (produc1443694919lle_tv > produc696645085lle_fm) > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_276, type, sK118: produc696645085lle_fm > (produc696645085lle_fm > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_277, type, sK119: produc696645085lle_fm > (produc696645085lle_fm > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_278, type, sK120: produc696645085lle_fm > set_Pr2014382200lle_tv > (paraco1605129243lle_tv > list_char > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1604210848lle_fm) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_279, type, sK121: produc696645085lle_fm > set_Pr2014382200lle_tv > (paraco1605129243lle_tv > list_char > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1604210848lle_fm) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_280, type, sK122: (paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_281, type, sK123: (paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_282, type, sK124: (paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_283, type, sK125: (paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_284, type, sK126: (paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_285, type, sK127: (paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_286, type, sK128: (paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_287, type, sK129: (paraco1604210848lle_fm > $o) > list_char).
% 8.43/2.41 thf(func_def_288, type, sK130: paraco1605129243lle_tv > $o).
% 8.43/2.41 thf(func_def_289, type, sK131: paraco1605129243lle_tv > nat).
% 8.43/2.41 thf(func_def_290, type, sK132: produc1250255278lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_291, type, sK133: produc1250255278lle_fm > produc696645085lle_fm).
% 8.43/2.41 thf(func_def_292, type, sK134: (paraco1604210848lle_fm > paraco1604210848lle_fm) > produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > set_Pr2120184979lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_293, type, sK135: (paraco1604210848lle_fm > paraco1604210848lle_fm) > produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > set_Pr2120184979lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_294, type, sK136: (produc484385668lle_tv > $o) > (produc484385668lle_tv > $o) > produc484385668lle_tv).
% 8.43/2.41 thf(func_def_295, type, sK137: produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_296, type, sK138: produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_297, type, sK139: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_298, type, sK140: produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_299, type, sK141: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_300, type, sK142: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_301, type, sK143: produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_302, type, sK144: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_303, type, sK145: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_304, type, sK146: produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_305, type, sK147: produc696645085lle_fm > list_char).
% 8.43/2.41 thf(func_def_306, type, sK148: produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_307, type, sK149: produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_308, type, sK150: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_309, type, sK151: produc696645085lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_310, type, sK152: produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_311, type, sK153: (produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_312, type, sK154: (produc696645085lle_fm > $o) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_313, type, sK155: (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (produc1647334210lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_314, type, sK156: (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (produc1647334210lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_315, type, sK157: produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_316, type, sK158: produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_317, type, sK159: (produc696645085lle_fm > $o) > produc1443694919lle_tv > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_318, type, sK160: (produc696645085lle_fm > $o) > produc1443694919lle_tv > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_319, type, sK161: produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_320, type, sK162: produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_321, type, sK163: (produc1647334210lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_322, type, sK164: (produc1647334210lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_323, type, sK165: produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_324, type, sK166: produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_326, type, sK168: paraco1605129243lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_327, type, sK169: paraco1605129243lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_328, type, sK170: (list_char > paraco1605129243lle_tv) > produc696645085lle_fm > paraco1604210848lle_fm).
% 8.43/2.41 thf(func_def_329, type, sK171: produc696645085lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv).
% 8.43/2.41 thf(func_def_330, type, ph172: !>[X0: $tType]:(X0)).
% 8.43/2.41 thf(f2691,plain,(
% 8.43/2.41 $false),
% 8.43/2.41 inference(avatar_sat_refutation,[status(thm)],[f2555,f2562,f2683])).
% 8.43/2.41 thf(f2683,plain,(
% 8.43/2.41 ~spl167_1),
% 8.43/2.41 inference(avatar_contradiction_clause,[status(thm)],[f2682])).
% 8.43/2.41 thf(f2682,plain,(
% 8.43/2.41 $false | ~spl167_1),
% 8.43/2.41 inference(trivial_inequality_removal,[status(thm)],[f2677])).
% 8.43/2.41 thf(f2677,plain,(
% 8.43/2.41 ($false = $true) | ~spl167_1),
% 8.43/2.41 inference(equality_resolution,[status(thm)],[f2625])).
% 8.43/2.41 thf(f2625,plain,(
% 8.43/2.41 ( ! [X0 : $o] : (((paraco1344940915le_Det @ X0) != (paraco1344940915le_Det @ $false)) | ($true = X0)) ) | ~spl167_1),
% 8.43/2.41 inference(trivial_inequality_removal,[status(thm)],[f2620])).
% 8.43/2.41 thf(f2620,plain,(
% 8.43/2.41 ( ! [X0 : $o] : (($false = $true) | ($true = X0) | ((paraco1344940915le_Det @ X0) != (paraco1344940915le_Det @ $false))) ) | ~spl167_1),
% 8.43/2.41 inference(superposition,[status(thm)],[f2033,f2543])).
% 8.43/2.41 thf(f2543,plain,(
% 8.43/2.41 ((paraco1344940915le_Det @ $false) = (paraco1344940915le_Det @ $true)) | ~spl167_1),
% 8.43/2.41 inference(avatar_component_clause,[status(thm)],[f2541])).
% 8.43/2.41 thf(f2541,definition,(
% 8.43/2.41 spl167_1 <=> ((paraco1344940915le_Det @ $false) = (paraco1344940915le_Det @ $true))),
% 8.43/2.41 introduced(definition,[new_symbols(naming,[spl167_1])],[avatar_definition])).
% 8.43/2.41 thf(f2033,plain,(
% 8.43/2.41 ( ! [X0 : $o,X1 : $o] : (((paraco1344940915le_Det @ X0) != (paraco1344940915le_Det @ X1)) | ($false = X1) | ($true = X0)) )),
% 8.43/2.41 inference(equality_proxy_clausification,[status(thm)],[f2030])).
% 8.43/2.41 thf(f2030,plain,(
% 8.43/2.41 ( ! [X0 : $o,X1 : $o] : (($false = X1) | ($true = X0) | ($false = ((paraco1344940915le_Det @ X0) = (paraco1344940915le_Det @ X1)))) )),
% 8.43/2.41 inference(binary_proxy_clausification,[status(thm)],[f2029])).
% 8.43/2.41 thf(f2029,plain,(
% 8.43/2.41 ( ! [X0 : $o,X1 : $o] : ((X0 = X1) | ($false = ((paraco1344940915le_Det @ X0) = (paraco1344940915le_Det @ X1)))) )),
% 8.43/2.41 inference(equality_proxy_clausification,[status(thm)],[f2028])).
% 8.43/2.41 thf(f2028,plain,(
% 8.43/2.41 ( ! [X0 : $o,X1 : $o] : (($true = (X0 = X1)) | ($false = ((paraco1344940915le_Det @ X0) = (paraco1344940915le_Det @ X1)))) )),
% 8.43/2.41 inference(binary_proxy_clausification,[status(thm)],[f1688])).
% 8.43/2.41 thf(f1688,plain,(
% 8.43/2.41 ( ! [X0 : $o,X1 : $o] : ((((paraco1344940915le_Det @ X0) = (paraco1344940915le_Det @ X1)) = (X0 = X1))) )),
% 8.43/2.41 inference(cnf_transformation,[status(thm)],[f612])).
% 8.43/2.41 thf(f612,plain,(
% 8.43/2.41 ! [X0 : $o,X1 : $o] : (((paraco1344940915le_Det @ X0) = (paraco1344940915le_Det @ X1)) = (X0 = X1))),
% 8.43/2.41 inference(fool_elimination,[status(thm)],[f1])).
% 8.43/2.41 thf(f1,axiom,(
% 8.43/2.41 ! [X0 : $o,X1 : $o] : (((paraco1344940915le_Det @ X0) = (paraco1344940915le_Det @ X1)) = (X0 = X1))),
% 8.43/2.41 file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',fact_0_tv_Oinject_I1_J)).
% 8.43/2.41 thf(f2562,plain,(
% 8.43/2.41 spl167_1 | ~spl167_3),
% 8.43/2.41 inference(avatar_split_clause,[status(thm)],[f2561,f2550,f2541])).
% 8.43/2.41 thf(f2550,definition,(
% 8.43/2.41 spl167_3 <=> ! [X0 : list_char > paraco1605129243lle_tv] : ((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X0 @ p))),
% 8.43/2.41 introduced(definition,[new_symbols(naming,[spl167_3])],[avatar_definition])).
% 8.43/2.41 thf(f2561,plain,(
% 8.43/2.41 ((paraco1344940915le_Det @ $false) = (paraco1344940915le_Det @ $true)) | ~spl167_3),
% 8.43/2.41 inference(backward_demodulation,[status(thm)],[f1527,f2551])).
% 8.43/2.41 thf(f2551,plain,(
% 8.43/2.41 ( ! [X0 : list_char > paraco1605129243lle_tv] : (((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X0 @ p))) ) | ~spl167_3),
% 8.43/2.41 inference(avatar_component_clause,[status(thm)],[f2550])).
% 8.43/2.41 thf(f1527,plain,(
% 8.43/2.41 ( ! [X0 : list_char > paraco1605129243lle_tv] : (((paraco1325918602e_eval @ X0 @ p) = (paraco1344940915le_Det @ $true))) )),
% 8.43/2.41 inference(cnf_transformation,[status(thm)],[f1071])).
% 8.43/2.41 thf(f1071,plain,(
% 8.43/2.41 ! [X0 : list_char > paraco1605129243lle_tv] : ((paraco1325918602e_eval @ X0 @ p) = (paraco1344940915le_Det @ $true))),
% 8.43/2.41 inference(ennf_transformation,[status(thm)],[f586])).
% 8.43/2.41 thf(f586,plain,(
% 8.43/2.41 ~? [X0 : list_char > paraco1605129243lle_tv] : ((paraco1325918602e_eval @ X0 @ p) != (paraco1344940915le_Det @ $true))),
% 8.43/2.41 inference(fool_elimination,[status(thm)],[f585])).
% 8.43/2.41 thf(f585,plain,(
% 8.43/2.41 ~? [X0 : list_char > paraco1605129243lle_tv] : ((paraco1325918602e_eval @ X0 @ p) != (paraco1344940915le_Det @ $true))),
% 8.43/2.41 inference(rectify,[status(thm)],[f359])).
% 8.43/2.41 thf(f359,negated_conjecture,(
% 8.43/2.41 ~? [X98 : list_char > paraco1605129243lle_tv] : ((paraco1325918602e_eval @ X98 @ p) != (paraco1344940915le_Det @ $true))),
% 8.43/2.41 inference(negated_conjecture,[status(cth)],[f358])).
% 8.43/2.41 thf(f358,conjecture,(
% 8.43/2.41 ? [X98 : list_char > paraco1605129243lle_tv] : ((paraco1325918602e_eval @ X98 @ p) != (paraco1344940915le_Det @ $true))),
% 8.43/2.41 file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',conj_0)).
% 8.43/2.42 thf(f2555,plain,(
% 8.43/2.42 spl167_1 | spl167_3),
% 8.43/2.42 inference(avatar_split_clause,[status(thm)],[f2554,f2550,f2541])).
% 8.43/2.42 thf(f2554,plain,(
% 8.43/2.42 ( ! [X0 : list_char > paraco1605129243lle_tv] : (((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X0 @ p)) | ((paraco1344940915le_Det @ $false) = (paraco1344940915le_Det @ $true))) )),
% 8.43/2.42 inference(subsumption_resolution,[status(thm)],[f2532,f1527])).
% 8.43/2.42 thf(f2532,plain,(
% 8.43/2.42 ( ! [X0 : list_char > paraco1605129243lle_tv] : (((paraco1344940915le_Det @ $false) = (paraco1344940915le_Det @ $true)) | ((paraco1325918602e_eval @ X0 @ p) != (paraco1344940915le_Det @ $true)) | ((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X0 @ p))) )),
% 8.43/2.42 inference(superposition,[status(thm)],[f1671,f2223])).
% 8.43/2.42 thf(f2223,plain,(
% 8.43/2.42 ( ! [X1 : list_char > paraco1605129243lle_tv] : (((paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ p)) = (paraco1344940915le_Det @ $true))) )),
% 8.43/2.42 inference(equality_proxy_clausification,[status(thm)],[f2222])).
% 8.43/2.42 thf(f2222,plain,(
% 8.43/2.42 ( ! [X1 : list_char > paraco1605129243lle_tv] : ((((paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ p)) = (paraco1344940915le_Det @ $true)) = $true)) )),
% 8.43/2.42 inference(beta_eta_normalization,[status(thm)],[f2221])).
% 8.43/2.42 thf(f2221,plain,(
% 8.43/2.42 ( ! [X1 : list_char > paraco1605129243lle_tv] : ((((^[Y0 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y0 @ (paraco445776468le_Neg @ p)) = (paraco1344940915le_Det @ $true))) @ X1) = $true)) )),
% 8.43/2.42 inference(pi_clausification,[status(thm)],[f2220])).
% 8.43/2.42 thf(f2220,plain,(
% 8.43/2.42 ((!! @ (list_char > paraco1605129243lle_tv) @ (^[Y0 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y0 @ (paraco445776468le_Neg @ p)) = (paraco1344940915le_Det @ $true)))) = $true)),
% 8.43/2.42 inference(beta_eta_normalization,[status(thm)],[f1813])).
% 8.43/2.42 thf(f1813,plain,(
% 8.43/2.42 (((^[Y0 : paraco1604210848lle_fm]: (!! @ (list_char > paraco1605129243lle_tv) @ (^[Y1 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y1 @ Y0) = (paraco1344940915le_Det @ $true))))) @ (paraco445776468le_Neg @ p)) = $true)),
% 8.43/2.42 inference(definition_unfolding,[status(thm)],[f1605,f1380])).
% 8.43/2.42 thf(f1380,plain,(
% 8.43/2.42 (paraco327635598_valid = (^[Y0 : paraco1604210848lle_fm]: (!! @ (list_char > paraco1605129243lle_tv) @ (^[Y1 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y1 @ Y0) = (paraco1344940915le_Det @ $true))))))),
% 8.43/2.42 inference(cnf_transformation,[status(thm)],[f750])).
% 8.43/2.42 thf(f750,plain,(
% 8.43/2.42 (paraco327635598_valid = (^[Y0 : paraco1604210848lle_fm]: (!! @ (list_char > paraco1605129243lle_tv) @ (^[Y1 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y1 @ Y0) = (paraco1344940915le_Det @ $true))))))),
% 8.43/2.42 inference(fool_elimination,[status(thm)],[f749])).
% 8.43/2.42 thf(f749,plain,(
% 8.43/2.42 (paraco327635598_valid = (^[X0 : paraco1604210848lle_fm] : (! [X1 : list_char > paraco1605129243lle_tv] : ((paraco1325918602e_eval @ X1 @ X0) = (paraco1344940915le_Det @ $true)))))),
% 8.43/2.42 inference(rectify,[status(thm)],[f3])).
% 8.43/2.42 thf(f3,axiom,(
% 8.43/2.42 (paraco327635598_valid = (^[X2 : paraco1604210848lle_fm] : (! [X3 : list_char > paraco1605129243lle_tv] : ((paraco1325918602e_eval @ X3 @ X2) = (paraco1344940915le_Det @ $true)))))),
% 8.43/2.42 file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',fact_2_valid__def)).
% 8.43/2.42 thf(f1605,plain,(
% 8.43/2.42 ((paraco327635598_valid @ (paraco445776468le_Neg @ p)) = $true)),
% 8.43/2.42 inference(cnf_transformation,[status(thm)],[f674])).
% 8.43/2.42 thf(f674,plain,(
% 8.43/2.42 ((paraco327635598_valid @ (paraco445776468le_Neg @ p)) = $true)),
% 8.43/2.42 inference(fool_elimination,[status(thm)],[f673])).
% 8.43/2.42 thf(f673,plain,(
% 8.43/2.42 (paraco327635598_valid @ (paraco445776468le_Neg @ p))),
% 8.43/2.42 inference(rectify,[status(thm)],[f2])).
% 8.43/2.42 thf(f2,axiom,(
% 8.43/2.42 (paraco327635598_valid @ (paraco445776468le_Neg @ p))),
% 8.43/2.42 file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',fact_1_assms)).
% 8.43/2.42 thf(f1671,plain,(
% 8.43/2.42 ( ! [X0 : paraco1604210848lle_fm,X1 : list_char > paraco1605129243lle_tv] : (((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0))) | ((paraco1325918602e_eval @ X1 @ X0) != (paraco1344940915le_Det @ $true)) | ((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X1 @ X0))) )),
% 8.43/2.42 inference(cnf_transformation,[status(thm)],[f1092])).
% 8.43/2.42 thf(f1092,plain,(
% 8.43/2.42 ! [X0 : paraco1604210848lle_fm,X1 : list_char > paraco1605129243lle_tv] : ((((paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0)) = (paraco1344940915le_Det @ $true)) | ((paraco1344940915le_Det @ $false) != (paraco1325918602e_eval @ X1 @ X0))) & (((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X1 @ X0)) | ((((paraco1325918602e_eval @ X1 @ X0) = (paraco1344940915le_Det @ $true)) | ((paraco1325918602e_eval @ X1 @ X0) = (paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0)))) & (((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0))) | ((paraco1325918602e_eval @ X1 @ X0) != (paraco1344940915le_Det @ $true))))))),
% 8.43/2.42 inference(ennf_transformation,[status(thm)],[f772])).
% 8.43/2.42 thf(f772,plain,(
% 8.43/2.42 ! [X0 : paraco1604210848lle_fm,X1 : list_char > paraco1605129243lle_tv] : ((((paraco1344940915le_Det @ $false) != (paraco1325918602e_eval @ X1 @ X0)) => ((((paraco1325918602e_eval @ X1 @ X0) != (paraco1344940915le_Det @ $true)) => ((paraco1325918602e_eval @ X1 @ X0) = (paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0)))) & (((paraco1325918602e_eval @ X1 @ X0) = (paraco1344940915le_Det @ $true)) => ((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0)))))) & (((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X1 @ X0)) => ((paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0)) = (paraco1344940915le_Det @ $true))))),
% 8.43/2.42 inference(fool_elimination,[status(thm)],[f771])).
% 8.43/2.42 thf(f771,plain,(
% 8.43/2.42 ! [X0 : paraco1604210848lle_fm,X1 : list_char > paraco1605129243lle_tv] : ((((paraco1325918602e_eval @ X1 @ X0) = (paraco1344940915le_Det @ $false)) => ((paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0)) = (paraco1344940915le_Det @ $true))) & (((paraco1344940915le_Det @ $false) != (paraco1325918602e_eval @ X1 @ X0)) => ((((paraco1325918602e_eval @ X1 @ X0) != (paraco1344940915le_Det @ $true)) => ((paraco1325918602e_eval @ X1 @ X0) = (paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0)))) & (((paraco1325918602e_eval @ X1 @ X0) = (paraco1344940915le_Det @ $true)) => ((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ X0)))))))),
% 8.43/2.42 inference(rectify,[status(thm)],[f8])).
% 8.43/2.42 thf(f8,axiom,(
% 8.43/2.42 ! [X5 : paraco1604210848lle_fm,X4 : list_char > paraco1605129243lle_tv] : ((((paraco1325918602e_eval @ X4 @ X5) = (paraco1344940915le_Det @ $false)) => ((paraco1325918602e_eval @ X4 @ (paraco445776468le_Neg @ X5)) = (paraco1344940915le_Det @ $true))) & (((paraco1344940915le_Det @ $false) != (paraco1325918602e_eval @ X4 @ X5)) => ((((paraco1325918602e_eval @ X4 @ X5) != (paraco1344940915le_Det @ $true)) => ((paraco1325918602e_eval @ X4 @ X5) = (paraco1325918602e_eval @ X4 @ (paraco445776468le_Neg @ X5)))) & (((paraco1325918602e_eval @ X4 @ X5) = (paraco1344940915le_Det @ $true)) => ((paraco1344940915le_Det @ $false) = (paraco1325918602e_eval @ X4 @ (paraco445776468le_Neg @ X5)))))))),
% 8.43/2.42 file('/export/starexec/sandbox2/tmp/tmp.XuU3Fizd5n/DTF2THF_910.p',fact_7_eval__negation)).
% 8.43/2.42 % SZS output end Proof for DTF2THF_910
% 8.43/2.42 % (1247)------------------------------
% 8.43/2.42 % (1247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.43/2.42 % (1247)Termination reason: Refutation
% 8.43/2.42
% 8.43/2.42 % (1247)Memory used [KB]: 8699
% 8.43/2.42 % (1247)Time elapsed: 0.132 s
% 8.43/2.42 % (1247)Instructions burned: 410 (million)
% 8.43/2.42 % (1247)------------------------------
% 8.43/2.42 % (1247)------------------------------
% 8.43/2.42 % (1170)Success in time 0.844 s
%------------------------------------------------------------------------------