%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : GRA030^1 : TPTP v9.2.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n022.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 08:48:48 AM UTC 2026
% Result : Theorem 22.36s 4.38s
% Output : Refutation 22.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 59
% Syntax : Number of formulae : 688 ( 1 unt; 0 typ; 54 def)
% Number of atoms : 6190 (2005 equ; 0 cnn)
% Maximal formula atoms : 60 ( 8 avg)
% Number of connectives : 5301 (1248 ~;1597 |; 363 &;2021 @)
% ( 54 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1745 (1745 >; 0 *; 0 +; 0 <<)
% Number of symbols : 88 ( 85 usr; 71 con; 0-2 aty)
% Number of variables : 1592 (1410 ^; 98 !; 84 ?;1592 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sP0: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o ).
thf(func_def_4,type,
sK1: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_5,type,
sK2: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_6,type,
sK3: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_7,type,
sK4: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_8,type,
sK5: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_9,type,
sK6: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_10,type,
sK7: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_11,type,
sK8: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_12,type,
sK9: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_13,type,
sK10: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_14,type,
sK11: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_15,type,
sK12: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( $o > $o ) > $o ).
thf(func_def_16,type,
sK13: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_17,type,
sK14: ( ( $o > $o ) > ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_20,type,
ph16:
!>[X0: $tType] : X0 ).
thf(f1631,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f96,f633,f671,f680,f693,f702,f705,f808,f822,f839,f854,f886,f893,f911,f916,f921,f926,f931,f932,f937,f944,f949,f954,f960,f1021,f1065,f1068,f1072,f1079,f1084,f1095,f1098,f1106,f1111,f1139,f1157,f1165,f1174,f1177,f1199,f1202,f1218,f1227,f1230,f1250,f1255,f1264,f1269,f1275,f1278,f1291,f1295,f1308,f1329,f1335,f1336,f1351,f1356,f1361,f1366,f1373,f1386,f1389,f1393,f1399,f1410,f1415,f1420,f1432,f1435,f1438,f1443,f1456,f1466,f1475,f1481,f1494,f1498,f1507,f1515,f1519,f1536,f1540,f1545,f1550,f1559,f1562,f1569,f1574,f1578,f1582,f1585,f1589,f1591,f1593,f1597,f1602,f1607,f1610,f1619,f1627]) ).
thf(f1627,plain,
( ~ spl15_32
| ~ spl15_37
| spl15_59
| ~ spl15_68 ),
inference(avatar_contradiction_clause,[status(thm)],[f1626]) ).
thf(f1626,plain,
( $false
| ~ spl15_32
| ~ spl15_37
| spl15_59
| ~ spl15_68 ),
inference(trivial_inequality_removal,[status(thm)],[f1625]) ).
thf(f1625,plain,
( ( $false = $true )
| ~ spl15_32
| ~ spl15_37
| spl15_59
| ~ spl15_68 ),
inference(forward_demodulation,[status(thm)],[f1624,f736]) ).
thf(f736,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_37 ),
inference(avatar_component_clause,[status(thm)],[f734]) ).
thf(f734,definition,
( spl15_37
<=> ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl15_37])],[avatar_definition]) ).
thf(f1624,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_32
| spl15_59
| ~ spl15_68 ),
inference(trivial_inequality_removal,[status(thm)],[f1623]) ).
thf(f1623,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_32
| spl15_59
| ~ spl15_68 ),
inference(forward_demodulation,[status(thm)],[f1622,f1170]) ).
thf(f1170,plain,
( ( $false = sK33 )
| ~ spl15_68 ),
inference(avatar_component_clause,[status(thm)],[f1168]) ).
thf(f1168,definition,
( spl15_68
<=> ( $false = sK33 ) ),
introduced(definition,[new_symbols(naming,[spl15_68])],[avatar_definition]) ).
thf(f1622,plain,
( ( sK33 = $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_32
| spl15_59 ),
inference(trivial_inequality_removal,[status(thm)],[f1621]) ).
thf(f1621,plain,
( ( sK33 = $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_32
| spl15_59 ),
inference(forward_demodulation,[status(thm)],[f1118,f701]) ).
thf(f701,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_32 ),
inference(avatar_component_clause,[status(thm)],[f699]) ).
thf(f699,definition,
( spl15_32
<=> ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl15_32])],[avatar_definition]) ).
thf(f1118,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK33 = $true )
| spl15_59 ),
inference(binary_proxy_clausification,[status(thm)],[f1117]) ).
thf(f1117,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK33 = $true )
| spl15_59 ),
inference(cases_simplifying,[status(thm)],[f1115]) ).
thf(f1115,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK33 )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK33 ) )
| spl15_59 ),
inference(negative_extensionality,[status(thm)],[f953]) ).
thf(f953,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_59 ),
inference(avatar_component_clause,[status(thm)],[f951]) ).
thf(f951,definition,
( spl15_59
<=> ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_59])],[avatar_definition]) ).
thf(f1619,plain,
( spl15_74
| ~ spl15_31
| ~ spl15_37
| spl15_54 ),
inference(avatar_split_clause,[status(thm)],[f1618,f918,f734,f695,f1281]) ).
thf(f1281,definition,
( spl15_74
<=> ( sK29 = $true ) ),
introduced(definition,[new_symbols(naming,[spl15_74])],[avatar_definition]) ).
thf(f695,definition,
( spl15_31
<=> ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl15_31])],[avatar_definition]) ).
thf(f918,definition,
( spl15_54
<=> ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_54])],[avatar_definition]) ).
thf(f1618,plain,
( ( sK29 = $true )
| ~ spl15_31
| ~ spl15_37
| spl15_54 ),
inference(trivial_inequality_removal,[status(thm)],[f1617]) ).
thf(f1617,plain,
( ( sK29 = $true )
| ( $false = $true )
| ~ spl15_31
| ~ spl15_37
| spl15_54 ),
inference(forward_demodulation,[status(thm)],[f1616,f736]) ).
thf(f1616,plain,
( ( sK29 = $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_31
| spl15_54 ),
inference(trivial_inequality_removal,[status(thm)],[f1615]) ).
thf(f1615,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK29 = $true )
| ( $false = $true )
| ~ spl15_31
| spl15_54 ),
inference(forward_demodulation,[status(thm)],[f1009,f697]) ).
thf(f697,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_31 ),
inference(avatar_component_clause,[status(thm)],[f695]) ).
thf(f1009,plain,
( ( sK29 = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_54 ),
inference(binary_proxy_clausification,[status(thm)],[f1008]) ).
thf(f1008,plain,
( ( sK29 = $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_54 ),
inference(cases_simplifying,[status(thm)],[f1006]) ).
thf(f1006,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK29 )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK29 ) )
| spl15_54 ),
inference(negative_extensionality,[status(thm)],[f920]) ).
thf(f920,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_54 ),
inference(avatar_component_clause,[status(thm)],[f918]) ).
thf(f1610,plain,
( spl15_33
| spl15_60
| ~ spl15_26
| spl15_54 ),
inference(avatar_split_clause,[status(thm)],[f1609,f918,f673,f1015,f716]) ).
thf(f716,definition,
( spl15_33
<=> ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl15_33])],[avatar_definition]) ).
thf(f1015,definition,
( spl15_60
<=> ( $false = sK29 ) ),
introduced(definition,[new_symbols(naming,[spl15_60])],[avatar_definition]) ).
thf(f673,definition,
( spl15_26
<=> ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl15_26])],[avatar_definition]) ).
thf(f1609,plain,
( ( $false = sK29 )
| ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_26
| spl15_54 ),
inference(trivial_inequality_removal,[status(thm)],[f1608]) ).
thf(f1608,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = $true )
| ( $false = sK29 )
| ~ spl15_26
| spl15_54 ),
inference(forward_demodulation,[status(thm)],[f1011,f675]) ).
thf(f675,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_26 ),
inference(avatar_component_clause,[status(thm)],[f673]) ).
thf(f1011,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK29 )
| spl15_54 ),
inference(binary_proxy_clausification,[status(thm)],[f1007]) ).
thf(f1007,plain,
( ( $false = sK29 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_54 ),
inference(cases_simplifying,[status(thm)],[f1006]) ).
thf(f1607,plain,
( spl15_45
| spl15_38
| spl15_56
| spl15_67 ),
inference(avatar_split_clause,[status(thm)],[f1606,f1159,f928,f752,f805]) ).
thf(f805,definition,
( spl15_45
<=> ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl15_45])],[avatar_definition]) ).
thf(f752,definition,
( spl15_38
<=> ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl15_38])],[avatar_definition]) ).
thf(f928,definition,
( spl15_56
<=> ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_56])],[avatar_definition]) ).
thf(f1159,definition,
( spl15_67
<=> ( $false = sK31 ) ),
introduced(definition,[new_symbols(naming,[spl15_67])],[avatar_definition]) ).
thf(f1606,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_38
| spl15_56
| spl15_67 ),
inference(subsumption_resolution,[status(thm)],[f1605,f753]) ).
thf(f753,plain,
( ( $false
!= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_38 ),
inference(avatar_component_clause,[status(thm)],[f752]) ).
thf(f1605,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_56
| spl15_67 ),
inference(subsumption_resolution,[status(thm)],[f1047,f1160]) ).
thf(f1160,plain,
( ( $false != sK31 )
| spl15_67 ),
inference(avatar_component_clause,[status(thm)],[f1159]) ).
thf(f1047,plain,
( ( $false = sK31 )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_56 ),
inference(binary_proxy_clausification,[status(thm)],[f1042]) ).
thf(f1042,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK31 )
| spl15_56 ),
inference(cases_simplifying,[status(thm)],[f1041]) ).
thf(f1041,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK31 )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK31 ) )
| spl15_56 ),
inference(negative_extensionality,[status(thm)],[f930]) ).
thf(f930,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_56 ),
inference(avatar_component_clause,[status(thm)],[f928]) ).
thf(f1602,plain,
( spl15_71
| spl15_26
| spl15_45
| spl15_53 ),
inference(avatar_split_clause,[status(thm)],[f1601,f913,f805,f673,f1207]) ).
thf(f1207,definition,
( spl15_71
<=> ( $false = sK28 ) ),
introduced(definition,[new_symbols(naming,[spl15_71])],[avatar_definition]) ).
thf(f913,definition,
( spl15_53
<=> ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_53])],[avatar_definition]) ).
thf(f1601,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK28 )
| spl15_45
| spl15_53 ),
inference(subsumption_resolution,[status(thm)],[f1004,f806]) ).
thf(f806,plain,
( ( $false
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_45 ),
inference(avatar_component_clause,[status(thm)],[f805]) ).
thf(f1004,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK28 )
| spl15_53 ),
inference(binary_proxy_clausification,[status(thm)],[f999]) ).
thf(f999,plain,
( ( $false = sK28 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_53 ),
inference(cases_simplifying,[status(thm)],[f998]) ).
thf(f998,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK28 )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK28 ) )
| spl15_53 ),
inference(negative_extensionality,[status(thm)],[f915]) ).
thf(f915,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_53 ),
inference(avatar_component_clause,[status(thm)],[f913]) ).
thf(f1597,plain,
( spl15_40
| ~ spl15_4
| ~ spl15_32
| spl15_78 ),
inference(avatar_split_clause,[status(thm)],[f1596,f1396,f699,f93,f761]) ).
thf(f761,definition,
( spl15_40
<=> ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_40])],[avatar_definition]) ).
thf(f93,definition,
( spl15_4
<=> ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_4])],[avatar_definition]) ).
thf(f1396,definition,
( spl15_78
<=> ( sK36 = $true ) ),
introduced(definition,[new_symbols(naming,[spl15_78])],[avatar_definition]) ).
thf(f1596,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_32
| spl15_78 ),
inference(trivial_inequality_removal,[status(thm)],[f1595]) ).
thf(f1595,plain,
( ( $false = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_32
| spl15_78 ),
inference(forward_demodulation,[status(thm)],[f1594,f701]) ).
thf(f1594,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| spl15_78 ),
inference(subsumption_resolution,[status(thm)],[f1341,f1397]) ).
thf(f1397,plain,
( ( sK36 != $true )
| spl15_78 ),
inference(avatar_component_clause,[status(thm)],[f1396]) ).
thf(f1341,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK36 = $true )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1340]) ).
thf(f1340,plain,
( ( sK36 = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f1338]) ).
thf(f1338,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK36 )
!= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK36 ) )
| ~ spl15_4 ),
inference(negative_extensionality,[status(thm)],[f957]) ).
thf(f957,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_4 ),
inference(subsumption_resolution,[status(thm)],[f182,f94]) ).
thf(f94,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_4 ),
inference(avatar_component_clause,[status(thm)],[f93]) ).
thf(f182,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f181]) ).
thf(f181,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f169]) ).
thf(f169,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f35]) ).
thf(f35,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK3 @ X0 ) @ ( sK8 @ X0 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( ( sK4 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK9 @ X0 @ ( sK2 @ X0 ) )
!= $true )
& ( $true
= ( sK4 @ X0 @ ( sK7 @ X0 ) ) )
& ( ( X0 @ ( sK3 @ X0 ) @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK2 @ X0 ) )
!= $true )
& ( ( sK5 @ X0 @ ( sK8 @ X0 ) )
!= $true )
& ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
& ( ( sK6 @ X0 @ ( sK3 @ X0 ) )
!= $true )
& ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK8 @ X0 ) ) )
& ( $true
!= ( X0 @ ( sK2 @ X0 ) @ ( sK3 @ X0 ) ) )
& ( ( sK4 @ X0 @ ( sK8 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK5 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( $true
!= ( X0 @ ( sK3 @ X0 ) @ ( sK8 @ X0 ) ) )
& ( ( X0 @ ( sK2 @ X0 ) @ ( sK7 @ X0 ) )
!= $true )
& ( $true
!= ( sK4 @ X0 @ ( sK3 @ X0 ) ) )
& ( ( sK5 @ X0 @ ( sK2 @ X0 ) )
= $true )
& ( ( X0 @ ( sK7 @ X0 ) @ ( sK8 @ X0 ) )
!= $true )
& ( ( sK9 @ X0 @ ( sK3 @ X0 ) )
= $true )
& ( ( X0 @ ( sK2 @ X0 ) @ ( sK8 @ X0 ) )
!= $true )
& ( $true
!= ( sK5 @ X0 @ ( sK3 @ X0 ) ) )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK3 @ X0 ) )
!= $true )
& ( $true
!= ( sK4 @ X0 @ ( sK2 @ X0 ) ) )
& ( ( sK9 @ X0 @ ( sK8 @ X0 ) )
!= $true )
& ( ( sK5 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK8 @ X0 ) )
= $true )
& ( ( sK6 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK9 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK9 @ X0 @ ( sK1 @ X0 ) )
!= $true ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f12,f13]) ).
thf(f13,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X7: $o > $o,X8: $o > $o,X9: ( $o > $o ) > $o] :
( ( ( X4 @ X1 )
!= $true )
& ( ( X9 @ X2 )
!= $true )
& ( ( X4 @ X7 )
= $true )
& ( $true
!= ( X0 @ X3 @ X7 ) )
& ( ( X6 @ X2 )
!= $true )
& ( ( X5 @ X8 )
!= $true )
& ( ( X0 @ X1 @ X2 )
!= $true )
& ( ( X6 @ X3 )
!= $true )
& ( ( X0 @ X1 @ X8 )
!= $true )
& ( ( X0 @ X2 @ X3 )
!= $true )
& ( ( X4 @ X8 )
!= $true )
& ( $true
!= ( X0 @ X1 @ X7 ) )
& ( ( X5 @ X7 )
!= $true )
& ( $true
!= ( X0 @ X3 @ X8 ) )
& ( ( X0 @ X2 @ X7 )
!= $true )
& ( ( X4 @ X3 )
!= $true )
& ( ( X5 @ X2 )
= $true )
& ( ( X0 @ X7 @ X8 )
!= $true )
& ( ( X9 @ X3 )
= $true )
& ( $true
!= ( X0 @ X2 @ X8 ) )
& ( ( X5 @ X3 )
!= $true )
& ( ( X0 @ X1 @ X3 )
!= $true )
& ( ( X4 @ X2 )
!= $true )
& ( ( X9 @ X8 )
!= $true )
& ( $true
!= ( X5 @ X1 ) )
& ( $true
= ( X6 @ X8 ) )
& ( ( X6 @ X7 )
!= $true )
& ( ( X6 @ X1 )
!= $true )
& ( ( X9 @ X7 )
!= $true )
& ( $true
!= ( X9 @ X1 ) ) )
=> ( ( ( sK4 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK9 @ X0 @ ( sK2 @ X0 ) )
!= $true )
& ( $true
= ( sK4 @ X0 @ ( sK7 @ X0 ) ) )
& ( ( X0 @ ( sK3 @ X0 ) @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK2 @ X0 ) )
!= $true )
& ( ( sK5 @ X0 @ ( sK8 @ X0 ) )
!= $true )
& ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
& ( ( sK6 @ X0 @ ( sK3 @ X0 ) )
!= $true )
& ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK8 @ X0 ) ) )
& ( $true
!= ( X0 @ ( sK2 @ X0 ) @ ( sK3 @ X0 ) ) )
& ( ( sK4 @ X0 @ ( sK8 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK5 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( $true
!= ( X0 @ ( sK3 @ X0 ) @ ( sK8 @ X0 ) ) )
& ( ( X0 @ ( sK2 @ X0 ) @ ( sK7 @ X0 ) )
!= $true )
& ( $true
!= ( sK4 @ X0 @ ( sK3 @ X0 ) ) )
& ( ( sK5 @ X0 @ ( sK2 @ X0 ) )
= $true )
& ( ( X0 @ ( sK7 @ X0 ) @ ( sK8 @ X0 ) )
!= $true )
& ( ( sK9 @ X0 @ ( sK3 @ X0 ) )
= $true )
& ( ( X0 @ ( sK2 @ X0 ) @ ( sK8 @ X0 ) )
!= $true )
& ( $true
!= ( sK5 @ X0 @ ( sK3 @ X0 ) ) )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK3 @ X0 ) )
!= $true )
& ( $true
!= ( sK4 @ X0 @ ( sK2 @ X0 ) ) )
& ( ( sK9 @ X0 @ ( sK8 @ X0 ) )
!= $true )
& ( ( sK5 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK8 @ X0 ) )
= $true )
& ( ( sK6 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK6 @ X0 @ ( sK1 @ X0 ) )
!= $true )
& ( ( sK9 @ X0 @ ( sK7 @ X0 ) )
!= $true )
& ( ( sK9 @ X0 @ ( sK1 @ X0 ) )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f12,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X7: $o > $o,X8: $o > $o,X9: ( $o > $o ) > $o] :
( ( ( X4 @ X1 )
!= $true )
& ( ( X9 @ X2 )
!= $true )
& ( ( X4 @ X7 )
= $true )
& ( $true
!= ( X0 @ X3 @ X7 ) )
& ( ( X6 @ X2 )
!= $true )
& ( ( X5 @ X8 )
!= $true )
& ( ( X0 @ X1 @ X2 )
!= $true )
& ( ( X6 @ X3 )
!= $true )
& ( ( X0 @ X1 @ X8 )
!= $true )
& ( ( X0 @ X2 @ X3 )
!= $true )
& ( ( X4 @ X8 )
!= $true )
& ( $true
!= ( X0 @ X1 @ X7 ) )
& ( ( X5 @ X7 )
!= $true )
& ( $true
!= ( X0 @ X3 @ X8 ) )
& ( ( X0 @ X2 @ X7 )
!= $true )
& ( ( X4 @ X3 )
!= $true )
& ( ( X5 @ X2 )
= $true )
& ( ( X0 @ X7 @ X8 )
!= $true )
& ( ( X9 @ X3 )
= $true )
& ( $true
!= ( X0 @ X2 @ X8 ) )
& ( ( X5 @ X3 )
!= $true )
& ( ( X0 @ X1 @ X3 )
!= $true )
& ( ( X4 @ X2 )
!= $true )
& ( ( X9 @ X8 )
!= $true )
& ( $true
!= ( X5 @ X1 ) )
& ( $true
= ( X6 @ X8 ) )
& ( ( X6 @ X7 )
!= $true )
& ( ( X6 @ X1 )
!= $true )
& ( ( X9 @ X7 )
!= $true )
& ( $true
!= ( X9 @ X1 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(rectify,[status(thm)],[f11]) ).
thf(f11,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X7: $o > $o,X8: $o > $o,X11: $o > $o,X9: ( $o > $o ) > $o,X12: ( $o > $o ) > $o,X4: ( $o > $o ) > $o,X6: $o > $o,X10: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( X9 @ X7 )
!= $true )
& ( ( X5 @ X8 )
!= $true )
& ( ( X9 @ X6 )
= $true )
& ( $true
!= ( X0 @ X11 @ X6 ) )
& ( ( X4 @ X8 )
!= $true )
& ( ( X12 @ X10 )
!= $true )
& ( ( X0 @ X7 @ X8 )
!= $true )
& ( ( X4 @ X11 )
!= $true )
& ( ( X0 @ X7 @ X10 )
!= $true )
& ( ( X0 @ X8 @ X11 )
!= $true )
& ( ( X9 @ X10 )
!= $true )
& ( ( X0 @ X7 @ X6 )
!= $true )
& ( ( X12 @ X6 )
!= $true )
& ( ( X0 @ X11 @ X10 )
!= $true )
& ( ( X0 @ X8 @ X6 )
!= $true )
& ( ( X9 @ X11 )
!= $true )
& ( $true
= ( X12 @ X8 ) )
& ( ( X0 @ X6 @ X10 )
!= $true )
& ( ( X5 @ X11 )
= $true )
& ( ( X0 @ X8 @ X10 )
!= $true )
& ( ( X12 @ X11 )
!= $true )
& ( $true
!= ( X0 @ X7 @ X11 ) )
& ( ( X9 @ X8 )
!= $true )
& ( ( X5 @ X10 )
!= $true )
& ( ( X12 @ X7 )
!= $true )
& ( $true
= ( X4 @ X10 ) )
& ( ( X4 @ X6 )
!= $true )
& ( ( X4 @ X7 )
!= $true )
& ( ( X5 @ X6 )
!= $true )
& ( ( X5 @ X7 )
!= $true ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X7: $o > $o,X8: $o > $o,X11: $o > $o,X9: ( $o > $o ) > $o,X12: ( $o > $o ) > $o,X4: ( $o > $o ) > $o,X6: $o > $o,X10: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( X9 @ X7 )
!= $true )
& ( ( X5 @ X8 )
!= $true )
& ( ( X9 @ X6 )
= $true )
& ( $true
!= ( X0 @ X11 @ X6 ) )
& ( ( X4 @ X8 )
!= $true )
& ( ( X12 @ X10 )
!= $true )
& ( ( X0 @ X7 @ X8 )
!= $true )
& ( ( X4 @ X11 )
!= $true )
& ( ( X0 @ X7 @ X10 )
!= $true )
& ( ( X0 @ X8 @ X11 )
!= $true )
& ( ( X9 @ X10 )
!= $true )
& ( ( X0 @ X7 @ X6 )
!= $true )
& ( ( X12 @ X6 )
!= $true )
& ( ( X0 @ X11 @ X10 )
!= $true )
& ( ( X0 @ X8 @ X6 )
!= $true )
& ( ( X9 @ X11 )
!= $true )
& ( $true
= ( X12 @ X8 ) )
& ( ( X0 @ X6 @ X10 )
!= $true )
& ( ( X5 @ X11 )
= $true )
& ( ( X0 @ X8 @ X10 )
!= $true )
& ( ( X12 @ X11 )
!= $true )
& ( $true
!= ( X0 @ X7 @ X11 ) )
& ( ( X9 @ X8 )
!= $true )
& ( ( X5 @ X10 )
!= $true )
& ( ( X12 @ X7 )
!= $true )
& ( $true
= ( X4 @ X10 ) )
& ( ( X4 @ X6 )
!= $true )
& ( ( X4 @ X7 )
!= $true )
& ( ( X5 @ X6 )
!= $true )
& ( ( X5 @ X7 )
!= $true ) )
| ( ( sP0 @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f1593,plain,
( spl15_51
| spl15_45
| ~ spl15_4
| spl15_77 ),
inference(avatar_split_clause,[status(thm)],[f1592,f1380,f93,f805,f883]) ).
thf(f883,definition,
( spl15_51
<=> ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl15_51])],[avatar_definition]) ).
thf(f1380,definition,
( spl15_77
<=> ( $false = sK35 ) ),
introduced(definition,[new_symbols(naming,[spl15_77])],[avatar_definition]) ).
thf(f1592,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4
| spl15_77 ),
inference(subsumption_resolution,[status(thm)],[f1318,f1381]) ).
thf(f1381,plain,
( ( $false != sK35 )
| spl15_77 ),
inference(avatar_component_clause,[status(thm)],[f1380]) ).
thf(f1318,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK35 )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1313]) ).
thf(f1313,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK35 )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f1312]) ).
thf(f1312,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK35 )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK35 ) )
| ~ spl15_4 ),
inference(negative_extensionality,[status(thm)],[f956]) ).
thf(f956,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_4 ),
inference(subsumption_resolution,[status(thm)],[f168,f94]) ).
thf(f168,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f167]) ).
thf(f167,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f145]) ).
thf(f145,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f34]) ).
thf(f34,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK2 @ X0 ) @ ( sK7 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f1591,plain,
( spl15_26
| spl15_73
| spl15_38
| spl15_58 ),
inference(avatar_split_clause,[status(thm)],[f1590,f946,f752,f1236,f673]) ).
thf(f1236,definition,
( spl15_73
<=> ( $false = sK32 ) ),
introduced(definition,[new_symbols(naming,[spl15_73])],[avatar_definition]) ).
thf(f946,definition,
( spl15_58
<=> ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_58])],[avatar_definition]) ).
thf(f1590,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK32 )
| spl15_38
| spl15_58 ),
inference(subsumption_resolution,[status(thm)],[f1058,f753]) ).
thf(f1058,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK32 )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_58 ),
inference(binary_proxy_clausification,[status(thm)],[f1053]) ).
thf(f1053,plain,
( ( $false = sK32 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_58 ),
inference(cases_simplifying,[status(thm)],[f1052]) ).
thf(f1052,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK32 )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK32 ) )
| spl15_58 ),
inference(negative_extensionality,[status(thm)],[f948]) ).
thf(f948,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_58 ),
inference(avatar_component_clause,[status(thm)],[f946]) ).
thf(f1589,plain,
( spl15_69
| spl15_23
| spl15_71
| spl15_53 ),
inference(avatar_split_clause,[status(thm)],[f1003,f913,f1207,f660,f1187]) ).
thf(f1187,definition,
( spl15_69
<=> ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_69])],[avatar_definition]) ).
thf(f660,definition,
( spl15_23
<=> ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_23])],[avatar_definition]) ).
thf(f1003,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK28 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| spl15_53 ),
inference(binary_proxy_clausification,[status(thm)],[f999]) ).
thf(f1585,plain,
( spl15_62
| spl15_40
| ~ spl15_31
| spl15_58 ),
inference(avatar_split_clause,[status(thm)],[f1584,f946,f695,f761,f1062]) ).
thf(f1062,definition,
( spl15_62
<=> ( sK32 = $true ) ),
introduced(definition,[new_symbols(naming,[spl15_62])],[avatar_definition]) ).
thf(f1584,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK32 = $true )
| ~ spl15_31
| spl15_58 ),
inference(trivial_inequality_removal,[status(thm)],[f1583]) ).
thf(f1583,plain,
( ( sK32 = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_31
| spl15_58 ),
inference(forward_demodulation,[status(thm)],[f1055,f697]) ).
thf(f1055,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK32 = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_58 ),
inference(binary_proxy_clausification,[status(thm)],[f1054]) ).
thf(f1054,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK32 = $true )
| spl15_58 ),
inference(cases_simplifying,[status(thm)],[f1052]) ).
thf(f1582,plain,
( ~ spl15_4
| spl15_33
| ~ spl15_45
| spl15_77 ),
inference(avatar_contradiction_clause,[status(thm)],[f1581]) ).
thf(f1581,plain,
( $false
| ~ spl15_4
| spl15_33
| ~ spl15_45
| spl15_77 ),
inference(subsumption_resolution,[status(thm)],[f1580,f1381]) ).
thf(f1580,plain,
( ( $false = sK35 )
| ~ spl15_4
| spl15_33
| ~ spl15_45 ),
inference(subsumption_resolution,[status(thm)],[f1542,f717]) ).
thf(f717,plain,
( ( $true
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_33 ),
inference(avatar_component_clause,[status(thm)],[f716]) ).
thf(f1542,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK35 )
| ~ spl15_4
| ~ spl15_45 ),
inference(trivial_inequality_removal,[status(thm)],[f1541]) ).
thf(f1541,plain,
( ( $false = sK35 )
| ( $false = $true )
| ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4
| ~ spl15_45 ),
inference(forward_demodulation,[status(thm)],[f1317,f807]) ).
thf(f807,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_45 ),
inference(avatar_component_clause,[status(thm)],[f805]) ).
thf(f1317,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK35 )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1313]) ).
thf(f1578,plain,
( ~ spl15_4
| spl15_38
| spl15_51
| spl15_66 ),
inference(avatar_contradiction_clause,[status(thm)],[f1577]) ).
thf(f1577,plain,
( $false
| ~ spl15_4
| spl15_38
| spl15_51
| spl15_66 ),
inference(subsumption_resolution,[status(thm)],[f1576,f884]) ).
thf(f884,plain,
( ( $false
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_51 ),
inference(avatar_component_clause,[status(thm)],[f883]) ).
thf(f1576,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4
| spl15_38
| spl15_66 ),
inference(subsumption_resolution,[status(thm)],[f1575,f753]) ).
thf(f1575,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4
| spl15_66 ),
inference(subsumption_resolution,[status(thm)],[f1128,f1146]) ).
thf(f1146,plain,
( ( $false != sK34 )
| spl15_66 ),
inference(avatar_component_clause,[status(thm)],[f1145]) ).
thf(f1145,definition,
( spl15_66
<=> ( $false = sK34 ) ),
introduced(definition,[new_symbols(naming,[spl15_66])],[avatar_definition]) ).
thf(f1128,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK34 )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1123]) ).
thf(f1123,plain,
( ( $false = sK34 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f1122]) ).
thf(f1122,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK34 )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK34 ) )
| ~ spl15_4 ),
inference(negative_extensionality,[status(thm)],[f955]) ).
thf(f955,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_4 ),
inference(subsumption_resolution,[status(thm)],[f103,f94]) ).
thf(f103,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f102]) ).
thf(f102,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f97]) ).
thf(f97,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[status(thm)],[f29]) ).
thf(f29,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK2 @ X0 ) @ ( sK8 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f1574,plain,
( spl15_40
| ~ spl15_31
| spl15_58
| ~ spl15_73 ),
inference(avatar_split_clause,[status(thm)],[f1573,f1236,f946,f695,f761]) ).
thf(f1573,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_31
| spl15_58
| ~ spl15_73 ),
inference(trivial_inequality_removal,[status(thm)],[f1572]) ).
thf(f1572,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_31
| spl15_58
| ~ spl15_73 ),
inference(forward_demodulation,[status(thm)],[f1571,f697]) ).
thf(f1571,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_58
| ~ spl15_73 ),
inference(trivial_inequality_removal,[status(thm)],[f1570]) ).
thf(f1570,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| spl15_58
| ~ spl15_73 ),
inference(forward_demodulation,[status(thm)],[f1055,f1238]) ).
thf(f1238,plain,
( ( $false = sK32 )
| ~ spl15_73 ),
inference(avatar_component_clause,[status(thm)],[f1236]) ).
thf(f1569,plain,
( spl15_42
| spl15_70
| ~ spl15_4
| spl15_37 ),
inference(avatar_split_clause,[status(thm)],[f1568,f734,f93,f1196,f770]) ).
thf(f770,definition,
( spl15_42
<=> ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl15_42])],[avatar_definition]) ).
thf(f1196,definition,
( spl15_70
<=> ( $true = sK34 ) ),
introduced(definition,[new_symbols(naming,[spl15_70])],[avatar_definition]) ).
thf(f1568,plain,
( ( $true = sK34 )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4
| spl15_37 ),
inference(subsumption_resolution,[status(thm)],[f1126,f735]) ).
thf(f735,plain,
( ( $false
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_37 ),
inference(avatar_component_clause,[status(thm)],[f734]) ).
thf(f1126,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $true = sK34 )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1124]) ).
thf(f1124,plain,
( ( $true = sK34 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f1122]) ).
thf(f1562,plain,
( spl15_32
| spl15_48
| spl15_55
| spl15_63 ),
inference(avatar_split_clause,[status(thm)],[f1561,f1081,f923,f819,f699]) ).
thf(f819,definition,
( spl15_48
<=> ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) ) ),
introduced(definition,[new_symbols(naming,[spl15_48])],[avatar_definition]) ).
thf(f923,definition,
( spl15_55
<=> ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_55])],[avatar_definition]) ).
thf(f1081,definition,
( spl15_63
<=> ( sK30 = $true ) ),
introduced(definition,[new_symbols(naming,[spl15_63])],[avatar_definition]) ).
thf(f1561,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_48
| spl15_55
| spl15_63 ),
inference(subsumption_resolution,[status(thm)],[f1560,f1082]) ).
thf(f1082,plain,
( ( sK30 != $true )
| spl15_63 ),
inference(avatar_component_clause,[status(thm)],[f1081]) ).
thf(f1560,plain,
( ( sK30 = $true )
| ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_48
| spl15_55 ),
inference(subsumption_resolution,[status(thm)],[f1027,f820]) ).
thf(f820,plain,
( ( $false
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_48 ),
inference(avatar_component_clause,[status(thm)],[f819]) ).
thf(f1027,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK30 = $true )
| spl15_55 ),
inference(binary_proxy_clausification,[status(thm)],[f1025]) ).
thf(f1025,plain,
( ( sK30 = $true )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_55 ),
inference(cases_simplifying,[status(thm)],[f1023]) ).
thf(f1023,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK30 )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK30 ) )
| spl15_55 ),
inference(negative_extensionality,[status(thm)],[f925]) ).
thf(f925,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_55 ),
inference(avatar_component_clause,[status(thm)],[f923]) ).
thf(f1559,plain,
( spl15_76
| ~ spl15_4
| spl15_37
| spl15_48 ),
inference(avatar_split_clause,[status(thm)],[f1558,f819,f734,f93,f1358]) ).
thf(f1358,definition,
( spl15_76
<=> ( sK35 = $true ) ),
introduced(definition,[new_symbols(naming,[spl15_76])],[avatar_definition]) ).
thf(f1558,plain,
( ( sK35 = $true )
| ~ spl15_4
| spl15_37
| spl15_48 ),
inference(subsumption_resolution,[status(thm)],[f1551,f735]) ).
thf(f1551,plain,
( ( sK35 = $true )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4
| spl15_48 ),
inference(subsumption_resolution,[status(thm)],[f1316,f820]) ).
thf(f1316,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK35 = $true )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1314]) ).
thf(f1314,plain,
( ( sK35 = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f1312]) ).
thf(f1550,plain,
( spl15_35
| ~ spl15_31
| spl15_54
| ~ spl15_60 ),
inference(avatar_split_clause,[status(thm)],[f1549,f1015,f918,f695,f725]) ).
thf(f725,definition,
( spl15_35
<=> ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_35])],[avatar_definition]) ).
thf(f1549,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_31
| spl15_54
| ~ spl15_60 ),
inference(trivial_inequality_removal,[status(thm)],[f1548]) ).
thf(f1548,plain,
( ( $false = $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_31
| spl15_54
| ~ spl15_60 ),
inference(forward_demodulation,[status(thm)],[f1547,f697]) ).
thf(f1547,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_54
| ~ spl15_60 ),
inference(trivial_inequality_removal,[status(thm)],[f1546]) ).
thf(f1546,plain,
( ( $false = $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_54
| ~ spl15_60 ),
inference(forward_demodulation,[status(thm)],[f1009,f1017]) ).
thf(f1017,plain,
( ( $false = sK29 )
| ~ spl15_60 ),
inference(avatar_component_clause,[status(thm)],[f1015]) ).
thf(f1545,plain,
( spl15_77
| ~ spl15_4
| ~ spl15_45
| ~ spl15_51 ),
inference(avatar_split_clause,[status(thm)],[f1544,f883,f805,f93,f1380]) ).
thf(f1544,plain,
( ( $false = sK35 )
| ~ spl15_4
| ~ spl15_45
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1543]) ).
thf(f1543,plain,
( ( $false = sK35 )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_45
| ~ spl15_51 ),
inference(forward_demodulation,[status(thm)],[f1542,f885]) ).
thf(f885,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_51 ),
inference(avatar_component_clause,[status(thm)],[f883]) ).
thf(f1540,plain,
( spl15_31
| spl15_37
| spl15_54
| ~ spl15_60 ),
inference(avatar_split_clause,[status(thm)],[f1539,f1015,f918,f734,f695]) ).
thf(f1539,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_37
| spl15_54
| ~ spl15_60 ),
inference(trivial_inequality_removal,[status(thm)],[f1538]) ).
thf(f1538,plain,
( ( $false = $true )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_37
| spl15_54
| ~ spl15_60 ),
inference(forward_demodulation,[status(thm)],[f1537,f1017]) ).
thf(f1537,plain,
( ( sK29 = $true )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_37
| spl15_54 ),
inference(subsumption_resolution,[status(thm)],[f1010,f735]) ).
thf(f1010,plain,
( ( sK29 = $true )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_54 ),
inference(binary_proxy_clausification,[status(thm)],[f1008]) ).
thf(f1536,plain,
( spl15_28
| spl15_62
| ~ spl15_42
| spl15_58 ),
inference(avatar_split_clause,[status(thm)],[f1535,f946,f770,f1062,f682]) ).
thf(f682,definition,
( spl15_28
<=> ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_28])],[avatar_definition]) ).
thf(f1535,plain,
( ( sK32 = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_42
| spl15_58 ),
inference(trivial_inequality_removal,[status(thm)],[f1534]) ).
thf(f1534,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ( sK32 = $true )
| ~ spl15_42
| spl15_58 ),
inference(forward_demodulation,[status(thm)],[f1055,f772]) ).
thf(f772,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_42 ),
inference(avatar_component_clause,[status(thm)],[f770]) ).
thf(f1519,plain,
( ~ spl15_50
| ~ spl15_52 ),
inference(avatar_contradiction_clause,[status(thm)],[f1518]) ).
thf(f1518,plain,
( $false
| ~ spl15_50
| ~ spl15_52 ),
inference(trivial_inequality_removal,[status(thm)],[f1517]) ).
thf(f1517,plain,
( ( $false = $true )
| ~ spl15_50
| ~ spl15_52 ),
inference(forward_demodulation,[status(thm)],[f892,f881]) ).
thf(f881,plain,
( ( $false = sK26 )
| ~ spl15_50 ),
inference(avatar_component_clause,[status(thm)],[f879]) ).
thf(f879,definition,
( spl15_50
<=> ( $false = sK26 ) ),
introduced(definition,[new_symbols(naming,[spl15_50])],[avatar_definition]) ).
thf(f892,plain,
( ( sK26 = $true )
| ~ spl15_52 ),
inference(avatar_component_clause,[status(thm)],[f890]) ).
thf(f890,definition,
( spl15_52
<=> ( sK26 = $true ) ),
introduced(definition,[new_symbols(naming,[spl15_52])],[avatar_definition]) ).
thf(f1515,plain,
( ~ spl15_64
| ~ spl15_71 ),
inference(avatar_contradiction_clause,[status(thm)],[f1514]) ).
thf(f1514,plain,
( $false
| ~ spl15_64
| ~ spl15_71 ),
inference(trivial_inequality_removal,[status(thm)],[f1513]) ).
thf(f1513,plain,
( ( $false = $true )
| ~ spl15_64
| ~ spl15_71 ),
inference(backward_demodulation,[status(thm)],[f1094,f1209]) ).
thf(f1209,plain,
( ( $false = sK28 )
| ~ spl15_71 ),
inference(avatar_component_clause,[status(thm)],[f1207]) ).
thf(f1094,plain,
( ( $true = sK28 )
| ~ spl15_64 ),
inference(avatar_component_clause,[status(thm)],[f1092]) ).
thf(f1092,definition,
( spl15_64
<=> ( $true = sK28 ) ),
introduced(definition,[new_symbols(naming,[spl15_64])],[avatar_definition]) ).
thf(f1507,plain,
( spl15_65
| ~ spl15_26
| spl15_58
| spl15_73 ),
inference(avatar_split_clause,[status(thm)],[f1463,f1236,f946,f673,f1141]) ).
thf(f1141,definition,
( spl15_65
<=> ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_65])],[avatar_definition]) ).
thf(f1463,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_26
| spl15_58
| spl15_73 ),
inference(subsumption_resolution,[status(thm)],[f1427,f1237]) ).
thf(f1237,plain,
( ( $false != sK32 )
| spl15_73 ),
inference(avatar_component_clause,[status(thm)],[f1236]) ).
thf(f1427,plain,
( ( $false = sK32 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_26
| spl15_58 ),
inference(trivial_inequality_removal,[status(thm)],[f1426]) ).
thf(f1426,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK32 )
| ( $false = $true )
| ~ spl15_26
| spl15_58 ),
inference(forward_demodulation,[status(thm)],[f1057,f675]) ).
thf(f1057,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK32 )
| spl15_58 ),
inference(binary_proxy_clausification,[status(thm)],[f1053]) ).
thf(f1498,plain,
( spl15_65
| ~ spl15_4
| ~ spl15_51
| spl15_66 ),
inference(avatar_split_clause,[status(thm)],[f1497,f1145,f883,f93,f1141]) ).
thf(f1497,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4
| ~ spl15_51
| spl15_66 ),
inference(trivial_inequality_removal,[status(thm)],[f1496]) ).
thf(f1496,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_51
| spl15_66 ),
inference(forward_demodulation,[status(thm)],[f1495,f885]) ).
thf(f1495,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4
| spl15_66 ),
inference(subsumption_resolution,[status(thm)],[f1127,f1146]) ).
thf(f1127,plain,
( ( $false = sK34 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1123]) ).
thf(f1494,plain,
( ~ spl15_4
| ~ spl15_51
| spl15_69
| spl15_77 ),
inference(avatar_contradiction_clause,[status(thm)],[f1493]) ).
thf(f1493,plain,
( $false
| ~ spl15_4
| ~ spl15_51
| spl15_69
| spl15_77 ),
inference(trivial_inequality_removal,[status(thm)],[f1492]) ).
thf(f1492,plain,
( ( $false = $true )
| ~ spl15_4
| ~ spl15_51
| spl15_69
| spl15_77 ),
inference(forward_demodulation,[status(thm)],[f1491,f885]) ).
thf(f1491,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4
| spl15_69
| spl15_77 ),
inference(subsumption_resolution,[status(thm)],[f1490,f1188]) ).
thf(f1188,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= $true )
| spl15_69 ),
inference(avatar_component_clause,[status(thm)],[f1187]) ).
thf(f1490,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4
| spl15_77 ),
inference(subsumption_resolution,[status(thm)],[f1317,f1381]) ).
thf(f1481,plain,
( ~ spl15_4
| spl15_35
| ~ spl15_48
| ~ spl15_77 ),
inference(avatar_contradiction_clause,[status(thm)],[f1480]) ).
thf(f1480,plain,
( $false
| ~ spl15_4
| spl15_35
| ~ spl15_48
| ~ spl15_77 ),
inference(trivial_inequality_removal,[status(thm)],[f1479]) ).
thf(f1479,plain,
( ( $false = $true )
| ~ spl15_4
| spl15_35
| ~ spl15_48
| ~ spl15_77 ),
inference(forward_demodulation,[status(thm)],[f1478,f821]) ).
thf(f821,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_48 ),
inference(avatar_component_clause,[status(thm)],[f819]) ).
thf(f1478,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| spl15_35
| ~ spl15_77 ),
inference(trivial_inequality_removal,[status(thm)],[f1477]) ).
thf(f1477,plain,
( ( $false = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| spl15_35
| ~ spl15_77 ),
inference(forward_demodulation,[status(thm)],[f1476,f1382]) ).
thf(f1382,plain,
( ( $false = sK35 )
| ~ spl15_77 ),
inference(avatar_component_clause,[status(thm)],[f1380]) ).
thf(f1476,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK35 = $true )
| ~ spl15_4
| spl15_35 ),
inference(subsumption_resolution,[status(thm)],[f1315,f726]) ).
thf(f726,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= $true )
| spl15_35 ),
inference(avatar_component_clause,[status(thm)],[f725]) ).
thf(f1315,plain,
( ( sK35 = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1314]) ).
thf(f1475,plain,
( ~ spl15_4
| spl15_37
| spl15_42
| ~ spl15_66 ),
inference(avatar_contradiction_clause,[status(thm)],[f1474]) ).
thf(f1474,plain,
( $false
| ~ spl15_4
| spl15_37
| spl15_42
| ~ spl15_66 ),
inference(trivial_inequality_removal,[status(thm)],[f1473]) ).
thf(f1473,plain,
( ( $false = $true )
| ~ spl15_4
| spl15_37
| spl15_42
| ~ spl15_66 ),
inference(forward_demodulation,[status(thm)],[f1472,f1147]) ).
thf(f1147,plain,
( ( $false = sK34 )
| ~ spl15_66 ),
inference(avatar_component_clause,[status(thm)],[f1145]) ).
thf(f1472,plain,
( ( $true = sK34 )
| ~ spl15_4
| spl15_37
| spl15_42 ),
inference(subsumption_resolution,[status(thm)],[f1471,f735]) ).
thf(f1471,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $true = sK34 )
| ~ spl15_4
| spl15_42 ),
inference(subsumption_resolution,[status(thm)],[f1126,f771]) ).
thf(f771,plain,
( ( $false
!= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_42 ),
inference(avatar_component_clause,[status(thm)],[f770]) ).
thf(f1466,plain,
( ~ spl15_26
| ~ spl15_38
| spl15_58
| spl15_73 ),
inference(avatar_contradiction_clause,[status(thm)],[f1465]) ).
thf(f1465,plain,
( $false
| ~ spl15_26
| ~ spl15_38
| spl15_58
| spl15_73 ),
inference(trivial_inequality_removal,[status(thm)],[f1464]) ).
thf(f1464,plain,
( ( $false = $true )
| ~ spl15_26
| ~ spl15_38
| spl15_58
| spl15_73 ),
inference(forward_demodulation,[status(thm)],[f1463,f754]) ).
thf(f754,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_38 ),
inference(avatar_component_clause,[status(thm)],[f752]) ).
thf(f1456,plain,
( ~ spl15_60
| ~ spl15_74 ),
inference(avatar_contradiction_clause,[status(thm)],[f1455]) ).
thf(f1455,plain,
( $false
| ~ spl15_60
| ~ spl15_74 ),
inference(trivial_inequality_removal,[status(thm)],[f1454]) ).
thf(f1454,plain,
( ( $false = $true )
| ~ spl15_60
| ~ spl15_74 ),
inference(backward_demodulation,[status(thm)],[f1283,f1017]) ).
thf(f1283,plain,
( ( sK29 = $true )
| ~ spl15_74 ),
inference(avatar_component_clause,[status(thm)],[f1281]) ).
thf(f1443,plain,
( spl15_33
| ~ spl15_26
| spl15_54
| ~ spl15_74 ),
inference(avatar_split_clause,[status(thm)],[f1442,f1281,f918,f673,f716]) ).
thf(f1442,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_26
| spl15_54
| ~ spl15_74 ),
inference(trivial_inequality_removal,[status(thm)],[f1441]) ).
thf(f1441,plain,
( ( $false = $true )
| ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_26
| spl15_54
| ~ spl15_74 ),
inference(forward_demodulation,[status(thm)],[f1440,f675]) ).
thf(f1440,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_54
| ~ spl15_74 ),
inference(trivial_inequality_removal,[status(thm)],[f1439]) ).
thf(f1439,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| spl15_54
| ~ spl15_74 ),
inference(forward_demodulation,[status(thm)],[f1011,f1283]) ).
thf(f1438,plain,
( ~ spl15_75
| ~ spl15_78 ),
inference(avatar_contradiction_clause,[status(thm)],[f1437]) ).
thf(f1437,plain,
( $false
| ~ spl15_75
| ~ spl15_78 ),
inference(trivial_inequality_removal,[status(thm)],[f1436]) ).
thf(f1436,plain,
( ( $false = $true )
| ~ spl15_75
| ~ spl15_78 ),
inference(forward_demodulation,[status(thm)],[f1398,f1355]) ).
thf(f1355,plain,
( ( $false = sK36 )
| ~ spl15_75 ),
inference(avatar_component_clause,[status(thm)],[f1353]) ).
thf(f1353,definition,
( spl15_75
<=> ( $false = sK36 ) ),
introduced(definition,[new_symbols(naming,[spl15_75])],[avatar_definition]) ).
thf(f1398,plain,
( ( sK36 = $true )
| ~ spl15_78 ),
inference(avatar_component_clause,[status(thm)],[f1396]) ).
thf(f1435,plain,
( spl15_27
| spl15_51
| spl15_59
| spl15_68 ),
inference(avatar_split_clause,[status(thm)],[f1434,f1168,f951,f883,f677]) ).
thf(f677,definition,
( spl15_27
<=> ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl15_27])],[avatar_definition]) ).
thf(f1434,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_59
| spl15_68 ),
inference(subsumption_resolution,[status(thm)],[f1121,f1169]) ).
thf(f1169,plain,
( ( $false != sK33 )
| spl15_68 ),
inference(avatar_component_clause,[status(thm)],[f1168]) ).
thf(f1121,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK33 )
| ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_59 ),
inference(binary_proxy_clausification,[status(thm)],[f1116]) ).
thf(f1116,plain,
( ( $false = sK33 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_59 ),
inference(cases_simplifying,[status(thm)],[f1115]) ).
thf(f1432,plain,
( ~ spl15_26
| ~ spl15_38
| spl15_58
| ~ spl15_62 ),
inference(avatar_contradiction_clause,[status(thm)],[f1431]) ).
thf(f1431,plain,
( $false
| ~ spl15_26
| ~ spl15_38
| spl15_58
| ~ spl15_62 ),
inference(trivial_inequality_removal,[status(thm)],[f1430]) ).
thf(f1430,plain,
( ( $false = $true )
| ~ spl15_26
| ~ spl15_38
| spl15_58
| ~ spl15_62 ),
inference(forward_demodulation,[status(thm)],[f1429,f754]) ).
thf(f1429,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_26
| spl15_58
| ~ spl15_62 ),
inference(trivial_inequality_removal,[status(thm)],[f1428]) ).
thf(f1428,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ~ spl15_26
| spl15_58
| ~ spl15_62 ),
inference(forward_demodulation,[status(thm)],[f1427,f1064]) ).
thf(f1064,plain,
( ( sK32 = $true )
| ~ spl15_62 ),
inference(avatar_component_clause,[status(thm)],[f1062]) ).
thf(f1420,plain,
( spl15_75
| ~ spl15_4
| ~ spl15_27
| ~ spl15_38 ),
inference(avatar_split_clause,[status(thm)],[f1419,f752,f677,f93,f1353]) ).
thf(f1419,plain,
( ( $false = sK36 )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_38 ),
inference(trivial_inequality_removal,[status(thm)],[f1418]) ).
thf(f1418,plain,
( ( $false = $true )
| ( $false = sK36 )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_38 ),
inference(forward_demodulation,[status(thm)],[f1417,f754]) ).
thf(f1417,plain,
( ( $false = sK36 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4
| ~ spl15_27 ),
inference(trivial_inequality_removal,[status(thm)],[f1416]) ).
thf(f1416,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ( $false = sK36 )
| ~ spl15_4
| ~ spl15_27 ),
inference(forward_demodulation,[status(thm)],[f1343,f679]) ).
thf(f679,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_27 ),
inference(avatar_component_clause,[status(thm)],[f677]) ).
thf(f1343,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK36 )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1339]) ).
thf(f1339,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK36 )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f1338]) ).
thf(f1415,plain,
( spl15_37
| spl15_32
| spl15_59
| ~ spl15_68 ),
inference(avatar_split_clause,[status(thm)],[f1414,f1168,f951,f699,f734]) ).
thf(f1414,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_32
| spl15_59
| ~ spl15_68 ),
inference(trivial_inequality_removal,[status(thm)],[f1413]) ).
thf(f1413,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false = $true )
| spl15_32
| spl15_59
| ~ spl15_68 ),
inference(forward_demodulation,[status(thm)],[f1412,f1170]) ).
thf(f1412,plain,
( ( sK33 = $true )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_32
| spl15_59 ),
inference(subsumption_resolution,[status(thm)],[f1119,f700]) ).
thf(f700,plain,
( ( $false
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_32 ),
inference(avatar_component_clause,[status(thm)],[f699]) ).
thf(f1119,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK33 = $true )
| spl15_59 ),
inference(binary_proxy_clausification,[status(thm)],[f1117]) ).
thf(f1410,plain,
( spl15_42
| ~ spl15_4
| ~ spl15_35
| ~ spl15_66 ),
inference(avatar_split_clause,[status(thm)],[f1409,f1145,f725,f93,f770]) ).
thf(f1409,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4
| ~ spl15_35
| ~ spl15_66 ),
inference(trivial_inequality_removal,[status(thm)],[f1408]) ).
thf(f1408,plain,
( ( $false = $true )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4
| ~ spl15_35
| ~ spl15_66 ),
inference(forward_demodulation,[status(thm)],[f1407,f1147]) ).
thf(f1407,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $true = sK34 )
| ~ spl15_4
| ~ spl15_35 ),
inference(trivial_inequality_removal,[status(thm)],[f1406]) ).
thf(f1406,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false = $true )
| ( $true = sK34 )
| ~ spl15_4
| ~ spl15_35 ),
inference(forward_demodulation,[status(thm)],[f1126,f727]) ).
thf(f727,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_35 ),
inference(avatar_component_clause,[status(thm)],[f725]) ).
thf(f1399,plain,
( spl15_42
| spl15_78
| ~ spl15_4
| spl15_32 ),
inference(avatar_split_clause,[status(thm)],[f1394,f699,f93,f1396,f770]) ).
thf(f1394,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK36 = $true )
| ~ spl15_4
| spl15_32 ),
inference(subsumption_resolution,[status(thm)],[f1342,f700]) ).
thf(f1342,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK36 = $true )
| ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1340]) ).
thf(f1393,plain,
( ~ spl15_76
| ~ spl15_77 ),
inference(avatar_contradiction_clause,[status(thm)],[f1392]) ).
thf(f1392,plain,
( $false
| ~ spl15_76
| ~ spl15_77 ),
inference(trivial_inequality_removal,[status(thm)],[f1391]) ).
thf(f1391,plain,
( ( $false = $true )
| ~ spl15_76
| ~ spl15_77 ),
inference(backward_demodulation,[status(thm)],[f1360,f1382]) ).
thf(f1360,plain,
( ( sK35 = $true )
| ~ spl15_76 ),
inference(avatar_component_clause,[status(thm)],[f1358]) ).
thf(f1389,plain,
( ~ spl15_35
| ~ spl15_37 ),
inference(avatar_contradiction_clause,[status(thm)],[f1388]) ).
thf(f1388,plain,
( $false
| ~ spl15_35
| ~ spl15_37 ),
inference(trivial_inequality_removal,[status(thm)],[f1387]) ).
thf(f1387,plain,
( ( $false = $true )
| ~ spl15_35
| ~ spl15_37 ),
inference(forward_demodulation,[status(thm)],[f727,f736]) ).
thf(f1386,plain,
( ~ spl15_44
| ~ spl15_46 ),
inference(avatar_contradiction_clause,[status(thm)],[f1385]) ).
thf(f1385,plain,
( $false
| ~ spl15_44
| ~ spl15_46 ),
inference(trivial_inequality_removal,[status(thm)],[f1384]) ).
thf(f1384,plain,
( ( $false = $true )
| ~ spl15_44
| ~ spl15_46 ),
inference(backward_demodulation,[status(thm)],[f812,f803]) ).
thf(f803,plain,
( ( $false = sK22 )
| ~ spl15_44 ),
inference(avatar_component_clause,[status(thm)],[f801]) ).
thf(f801,definition,
( spl15_44
<=> ( $false = sK22 ) ),
introduced(definition,[new_symbols(naming,[spl15_44])],[avatar_definition]) ).
thf(f812,plain,
( ( $true = sK22 )
| ~ spl15_46 ),
inference(avatar_component_clause,[status(thm)],[f810]) ).
thf(f810,definition,
( spl15_46
<=> ( $true = sK22 ) ),
introduced(definition,[new_symbols(naming,[spl15_46])],[avatar_definition]) ).
thf(f1373,plain,
( spl15_23
| ~ spl15_45
| spl15_53
| spl15_71 ),
inference(avatar_contradiction_clause,[status(thm)],[f1372]) ).
thf(f1372,plain,
( $false
| spl15_23
| ~ spl15_45
| spl15_53
| spl15_71 ),
inference(trivial_inequality_removal,[status(thm)],[f1371]) ).
thf(f1371,plain,
( ( $false = $true )
| spl15_23
| ~ spl15_45
| spl15_53
| spl15_71 ),
inference(forward_demodulation,[status(thm)],[f1370,f807]) ).
thf(f1370,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| spl15_23
| spl15_53
| spl15_71 ),
inference(subsumption_resolution,[status(thm)],[f1369,f1208]) ).
thf(f1208,plain,
( ( $false != sK28 )
| spl15_71 ),
inference(avatar_component_clause,[status(thm)],[f1207]) ).
thf(f1369,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK28 )
| spl15_23
| spl15_53 ),
inference(subsumption_resolution,[status(thm)],[f1003,f661]) ).
thf(f661,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= $true )
| spl15_23 ),
inference(avatar_component_clause,[status(thm)],[f660]) ).
thf(f1366,plain,
( spl15_26
| spl15_51
| spl15_54
| spl15_60 ),
inference(avatar_split_clause,[status(thm)],[f1365,f1015,f918,f883,f673]) ).
thf(f1365,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_54
| spl15_60 ),
inference(subsumption_resolution,[status(thm)],[f1012,f1016]) ).
thf(f1016,plain,
( ( $false != sK29 )
| spl15_60 ),
inference(avatar_component_clause,[status(thm)],[f1015]) ).
thf(f1012,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK29 )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_54 ),
inference(binary_proxy_clausification,[status(thm)],[f1007]) ).
thf(f1361,plain,
( spl15_76
| spl15_47
| ~ spl15_4
| ~ spl15_37 ),
inference(avatar_split_clause,[status(thm)],[f1324,f734,f93,f814,f1358]) ).
thf(f814,definition,
( spl15_47
<=> ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_47])],[avatar_definition]) ).
thf(f1324,plain,
( ( sK35 = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_37 ),
inference(trivial_inequality_removal,[status(thm)],[f1323]) ).
thf(f1323,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ( sK35 = $true )
| ~ spl15_4
| ~ spl15_37 ),
inference(forward_demodulation,[status(thm)],[f1315,f736]) ).
thf(f1356,plain,
( spl15_75
| spl15_27
| ~ spl15_4
| spl15_38 ),
inference(avatar_split_clause,[status(thm)],[f1345,f752,f93,f677,f1353]) ).
thf(f1345,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK36 )
| ~ spl15_4
| spl15_38 ),
inference(subsumption_resolution,[status(thm)],[f1344,f753]) ).
thf(f1344,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK36 )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1339]) ).
thf(f1351,plain,
( ~ spl15_4
| spl15_27
| spl15_32
| spl15_38
| spl15_42 ),
inference(avatar_contradiction_clause,[status(thm)],[f1350]) ).
thf(f1350,plain,
( $false
| ~ spl15_4
| spl15_27
| spl15_32
| spl15_38
| spl15_42 ),
inference(trivial_inequality_removal,[status(thm)],[f1349]) ).
thf(f1349,plain,
( ( $false = $true )
| ~ spl15_4
| spl15_27
| spl15_32
| spl15_38
| spl15_42 ),
inference(forward_demodulation,[status(thm)],[f1348,f1346]) ).
thf(f1346,plain,
( ( $false = sK36 )
| ~ spl15_4
| spl15_27
| spl15_38 ),
inference(subsumption_resolution,[status(thm)],[f1345,f678]) ).
thf(f678,plain,
( ( $false
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_27 ),
inference(avatar_component_clause,[status(thm)],[f677]) ).
thf(f1348,plain,
( ( sK36 = $true )
| ~ spl15_4
| spl15_32
| spl15_42 ),
inference(subsumption_resolution,[status(thm)],[f1347,f700]) ).
thf(f1347,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK36 = $true )
| ~ spl15_4
| spl15_42 ),
inference(subsumption_resolution,[status(thm)],[f1342,f771]) ).
thf(f1336,plain,
( spl15_48
| spl15_72
| spl15_42
| spl15_56 ),
inference(avatar_split_clause,[status(thm)],[f1285,f928,f770,f1215,f819]) ).
thf(f1215,definition,
( spl15_72
<=> ( sK31 = $true ) ),
introduced(definition,[new_symbols(naming,[spl15_72])],[avatar_definition]) ).
thf(f1285,plain,
( ( sK31 = $true )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_42
| spl15_56 ),
inference(subsumption_resolution,[status(thm)],[f1045,f771]) ).
thf(f1045,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK31 = $true )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_56 ),
inference(binary_proxy_clausification,[status(thm)],[f1043]) ).
thf(f1043,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK31 = $true )
| spl15_56 ),
inference(cases_simplifying,[status(thm)],[f1041]) ).
thf(f1335,plain,
( spl15_25
| spl15_61
| ~ spl15_45
| spl15_55 ),
inference(avatar_split_clause,[status(thm)],[f1334,f923,f805,f1033,f668]) ).
thf(f668,definition,
( spl15_25
<=> ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_25])],[avatar_definition]) ).
thf(f1033,definition,
( spl15_61
<=> ( $false = sK30 ) ),
introduced(definition,[new_symbols(naming,[spl15_61])],[avatar_definition]) ).
thf(f1334,plain,
( ( $false = sK30 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_45
| spl15_55 ),
inference(trivial_inequality_removal,[status(thm)],[f1333]) ).
thf(f1333,plain,
( ( $false = sK30 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ~ spl15_45
| spl15_55 ),
inference(forward_demodulation,[status(thm)],[f1028,f807]) ).
thf(f1028,plain,
( ( $false = sK30 )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| spl15_55 ),
inference(binary_proxy_clausification,[status(thm)],[f1024]) ).
thf(f1024,plain,
( ( $false = sK30 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_55 ),
inference(cases_simplifying,[status(thm)],[f1023]) ).
thf(f1329,plain,
( ~ spl15_4
| ~ spl15_37
| ~ spl15_45
| ~ spl15_48
| ~ spl15_51 ),
inference(avatar_contradiction_clause,[status(thm)],[f1328]) ).
thf(f1328,plain,
( $false
| ~ spl15_4
| ~ spl15_37
| ~ spl15_45
| ~ spl15_48
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1327]) ).
thf(f1327,plain,
( ( $false = $true )
| ~ spl15_4
| ~ spl15_37
| ~ spl15_45
| ~ spl15_48
| ~ spl15_51 ),
inference(forward_demodulation,[status(thm)],[f1326,f1322]) ).
thf(f1322,plain,
( ( $false = sK35 )
| ~ spl15_4
| ~ spl15_45
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1321]) ).
thf(f1321,plain,
( ( $false = sK35 )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_45
| ~ spl15_51 ),
inference(forward_demodulation,[status(thm)],[f1320,f807]) ).
thf(f1320,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK35 )
| ~ spl15_4
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1319]) ).
thf(f1319,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK35 )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_51 ),
inference(forward_demodulation,[status(thm)],[f1317,f885]) ).
thf(f1326,plain,
( ( sK35 = $true )
| ~ spl15_4
| ~ spl15_37
| ~ spl15_48 ),
inference(trivial_inequality_removal,[status(thm)],[f1325]) ).
thf(f1325,plain,
( ( sK35 = $true )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_37
| ~ spl15_48 ),
inference(forward_demodulation,[status(thm)],[f1324,f821]) ).
thf(f1308,plain,
( spl15_31
| spl15_42
| spl15_58
| ~ spl15_73 ),
inference(avatar_split_clause,[status(thm)],[f1307,f1236,f946,f770,f695]) ).
thf(f1307,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_42
| spl15_58
| ~ spl15_73 ),
inference(trivial_inequality_removal,[status(thm)],[f1306]) ).
thf(f1306,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false = $true )
| spl15_42
| spl15_58
| ~ spl15_73 ),
inference(forward_demodulation,[status(thm)],[f1305,f1238]) ).
thf(f1305,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK32 = $true )
| spl15_42
| spl15_58 ),
inference(subsumption_resolution,[status(thm)],[f1056,f771]) ).
thf(f1056,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK32 = $true )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_58 ),
inference(binary_proxy_clausification,[status(thm)],[f1054]) ).
thf(f1295,plain,
( spl15_28
| spl15_47
| spl15_53
| ~ spl15_71 ),
inference(avatar_split_clause,[status(thm)],[f1294,f1207,f913,f814,f682]) ).
thf(f1294,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_47
| spl15_53
| ~ spl15_71 ),
inference(trivial_inequality_removal,[status(thm)],[f1293]) ).
thf(f1293,plain,
( ( $false = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_47
| spl15_53
| ~ spl15_71 ),
inference(forward_demodulation,[status(thm)],[f1292,f1209]) ).
thf(f1292,plain,
( ( $true = sK28 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_47
| spl15_53 ),
inference(subsumption_resolution,[status(thm)],[f1001,f815]) ).
thf(f815,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= $true )
| spl15_47 ),
inference(avatar_component_clause,[status(thm)],[f814]) ).
thf(f1001,plain,
( ( $true = sK28 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_53 ),
inference(binary_proxy_clausification,[status(thm)],[f1000]) ).
thf(f1000,plain,
( ( $true = sK28 )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_53 ),
inference(cases_simplifying,[status(thm)],[f998]) ).
thf(f1291,plain,
( spl15_48
| spl15_31
| spl15_53
| ~ spl15_71 ),
inference(avatar_split_clause,[status(thm)],[f1290,f1207,f913,f695,f819]) ).
thf(f1290,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_31
| spl15_53
| ~ spl15_71 ),
inference(trivial_inequality_removal,[status(thm)],[f1289]) ).
thf(f1289,plain,
( ( $false = $true )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_31
| spl15_53
| ~ spl15_71 ),
inference(forward_demodulation,[status(thm)],[f1288,f1209]) ).
thf(f1288,plain,
( ( $true = sK28 )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_31
| spl15_53 ),
inference(subsumption_resolution,[status(thm)],[f1002,f696]) ).
thf(f696,plain,
( ( $false
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_31 ),
inference(avatar_component_clause,[status(thm)],[f695]) ).
thf(f1002,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $true = sK28 )
| spl15_53 ),
inference(binary_proxy_clausification,[status(thm)],[f1000]) ).
thf(f1278,plain,
( ~ spl15_45
| ~ spl15_69 ),
inference(avatar_contradiction_clause,[status(thm)],[f1277]) ).
thf(f1277,plain,
( $false
| ~ spl15_45
| ~ spl15_69 ),
inference(trivial_inequality_removal,[status(thm)],[f1276]) ).
thf(f1276,plain,
( ( $false = $true )
| ~ spl15_45
| ~ spl15_69 ),
inference(backward_demodulation,[status(thm)],[f1189,f807]) ).
thf(f1189,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_69 ),
inference(avatar_component_clause,[status(thm)],[f1187]) ).
thf(f1275,plain,
( ~ spl15_61
| ~ spl15_63 ),
inference(avatar_contradiction_clause,[status(thm)],[f1274]) ).
thf(f1274,plain,
( $false
| ~ spl15_61
| ~ spl15_63 ),
inference(trivial_inequality_removal,[status(thm)],[f1273]) ).
thf(f1273,plain,
( ( $false = $true )
| ~ spl15_61
| ~ spl15_63 ),
inference(backward_demodulation,[status(thm)],[f1083,f1035]) ).
thf(f1035,plain,
( ( $false = sK30 )
| ~ spl15_61 ),
inference(avatar_component_clause,[status(thm)],[f1033]) ).
thf(f1083,plain,
( ( sK30 = $true )
| ~ spl15_63 ),
inference(avatar_component_clause,[status(thm)],[f1081]) ).
thf(f1269,plain,
( spl15_68
| ~ spl15_27
| ~ spl15_51
| spl15_59 ),
inference(avatar_split_clause,[status(thm)],[f1268,f951,f883,f677,f1168]) ).
thf(f1268,plain,
( ( $false = sK33 )
| ~ spl15_27
| ~ spl15_51
| spl15_59 ),
inference(trivial_inequality_removal,[status(thm)],[f1267]) ).
thf(f1267,plain,
( ( $false = $true )
| ( $false = sK33 )
| ~ spl15_27
| ~ spl15_51
| spl15_59 ),
inference(forward_demodulation,[status(thm)],[f1266,f679]) ).
thf(f1266,plain,
( ( $false = sK33 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_51
| spl15_59 ),
inference(trivial_inequality_removal,[status(thm)],[f1265]) ).
thf(f1265,plain,
( ( $false = sK33 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ~ spl15_51
| spl15_59 ),
inference(forward_demodulation,[status(thm)],[f1120,f885]) ).
thf(f1120,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK33 )
| spl15_59 ),
inference(binary_proxy_clausification,[status(thm)],[f1116]) ).
thf(f1264,plain,
( ~ spl15_67
| ~ spl15_72 ),
inference(avatar_contradiction_clause,[status(thm)],[f1263]) ).
thf(f1263,plain,
( $false
| ~ spl15_67
| ~ spl15_72 ),
inference(trivial_inequality_removal,[status(thm)],[f1262]) ).
thf(f1262,plain,
( ( $false = $true )
| ~ spl15_67
| ~ spl15_72 ),
inference(backward_demodulation,[status(thm)],[f1217,f1161]) ).
thf(f1161,plain,
( ( $false = sK31 )
| ~ spl15_67 ),
inference(avatar_component_clause,[status(thm)],[f1159]) ).
thf(f1217,plain,
( ( sK31 = $true )
| ~ spl15_72 ),
inference(avatar_component_clause,[status(thm)],[f1215]) ).
thf(f1255,plain,
( ~ spl15_25
| ~ spl15_27 ),
inference(avatar_contradiction_clause,[status(thm)],[f1254]) ).
thf(f1254,plain,
( $false
| ~ spl15_25
| ~ spl15_27 ),
inference(trivial_inequality_removal,[status(thm)],[f1253]) ).
thf(f1253,plain,
( ( $false = $true )
| ~ spl15_25
| ~ spl15_27 ),
inference(backward_demodulation,[status(thm)],[f670,f679]) ).
thf(f670,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_25 ),
inference(avatar_component_clause,[status(thm)],[f668]) ).
thf(f1250,plain,
( spl15_27
| spl15_45
| spl15_55
| ~ spl15_63 ),
inference(avatar_split_clause,[status(thm)],[f1249,f1081,f923,f805,f677]) ).
thf(f1249,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_45
| spl15_55
| ~ spl15_63 ),
inference(trivial_inequality_removal,[status(thm)],[f1248]) ).
thf(f1248,plain,
( ( $false = $true )
| ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_45
| spl15_55
| ~ spl15_63 ),
inference(forward_demodulation,[status(thm)],[f1247,f1083]) ).
thf(f1247,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK30 )
| spl15_45
| spl15_55 ),
inference(subsumption_resolution,[status(thm)],[f1029,f806]) ).
thf(f1029,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK30 )
| spl15_55 ),
inference(binary_proxy_clausification,[status(thm)],[f1024]) ).
thf(f1230,plain,
( ~ spl15_66
| ~ spl15_70 ),
inference(avatar_contradiction_clause,[status(thm)],[f1229]) ).
thf(f1229,plain,
( $false
| ~ spl15_66
| ~ spl15_70 ),
inference(trivial_inequality_removal,[status(thm)],[f1228]) ).
thf(f1228,plain,
( ( $false = $true )
| ~ spl15_66
| ~ spl15_70 ),
inference(forward_demodulation,[status(thm)],[f1198,f1147]) ).
thf(f1198,plain,
( ( $true = sK34 )
| ~ spl15_70 ),
inference(avatar_component_clause,[status(thm)],[f1196]) ).
thf(f1227,plain,
( ~ spl15_31
| ~ spl15_48
| spl15_53
| ~ spl15_71 ),
inference(avatar_contradiction_clause,[status(thm)],[f1226]) ).
thf(f1226,plain,
( $false
| ~ spl15_31
| ~ spl15_48
| spl15_53
| ~ spl15_71 ),
inference(trivial_inequality_removal,[status(thm)],[f1225]) ).
thf(f1225,plain,
( ( $false = $true )
| ~ spl15_31
| ~ spl15_48
| spl15_53
| ~ spl15_71 ),
inference(forward_demodulation,[status(thm)],[f1224,f697]) ).
thf(f1224,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_48
| spl15_53
| ~ spl15_71 ),
inference(trivial_inequality_removal,[status(thm)],[f1223]) ).
thf(f1223,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_48
| spl15_53
| ~ spl15_71 ),
inference(forward_demodulation,[status(thm)],[f1222,f1209]) ).
thf(f1222,plain,
( ( $true = sK28 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_48
| spl15_53 ),
inference(trivial_inequality_removal,[status(thm)],[f1221]) ).
thf(f1221,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ( $true = sK28 )
| ~ spl15_48
| spl15_53 ),
inference(forward_demodulation,[status(thm)],[f1001,f821]) ).
thf(f1218,plain,
( spl15_72
| spl15_47
| spl15_40
| spl15_56 ),
inference(avatar_split_clause,[status(thm)],[f1213,f928,f761,f814,f1215]) ).
thf(f1213,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK31 = $true )
| spl15_40
| spl15_56 ),
inference(subsumption_resolution,[status(thm)],[f1044,f762]) ).
thf(f762,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= $true )
| spl15_40 ),
inference(avatar_component_clause,[status(thm)],[f761]) ).
thf(f1044,plain,
( ( sK31 = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_56 ),
inference(binary_proxy_clausification,[status(thm)],[f1043]) ).
thf(f1202,plain,
( spl15_66
| ~ spl15_4
| spl15_33
| ~ spl15_38 ),
inference(avatar_split_clause,[status(thm)],[f1201,f752,f716,f93,f1145]) ).
thf(f1201,plain,
( ( $false = sK34 )
| ~ spl15_4
| spl15_33
| ~ spl15_38 ),
inference(trivial_inequality_removal,[status(thm)],[f1200]) ).
thf(f1200,plain,
( ( $false = sK34 )
| ( $false = $true )
| ~ spl15_4
| spl15_33
| ~ spl15_38 ),
inference(forward_demodulation,[status(thm)],[f1178,f754]) ).
thf(f1178,plain,
( ( $false = sK34 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4
| spl15_33 ),
inference(subsumption_resolution,[status(thm)],[f1127,f717]) ).
thf(f1199,plain,
( spl15_40
| spl15_70
| ~ spl15_4
| ~ spl15_37 ),
inference(avatar_split_clause,[status(thm)],[f1150,f734,f93,f1196,f761]) ).
thf(f1150,plain,
( ( $true = sK34 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_37 ),
inference(trivial_inequality_removal,[status(thm)],[f1149]) ).
thf(f1149,plain,
( ( $false = $true )
| ( $true = sK34 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_37 ),
inference(forward_demodulation,[status(thm)],[f1125,f736]) ).
thf(f1125,plain,
( ( $true = sK34 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f1124]) ).
thf(f1177,plain,
( ~ spl15_38
| ~ spl15_65 ),
inference(avatar_contradiction_clause,[status(thm)],[f1176]) ).
thf(f1176,plain,
( $false
| ~ spl15_38
| ~ spl15_65 ),
inference(trivial_inequality_removal,[status(thm)],[f1175]) ).
thf(f1175,plain,
( ( $false = $true )
| ~ spl15_38
| ~ spl15_65 ),
inference(backward_demodulation,[status(thm)],[f1143,f754]) ).
thf(f1143,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_65 ),
inference(avatar_component_clause,[status(thm)],[f1141]) ).
thf(f1174,plain,
( spl15_51
| spl15_38
| ~ spl15_4
| ~ spl15_37
| ~ spl15_42 ),
inference(avatar_split_clause,[status(thm)],[f1173,f770,f734,f93,f752,f883]) ).
thf(f1173,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4
| ~ spl15_37
| ~ spl15_42 ),
inference(trivial_inequality_removal,[status(thm)],[f1172]) ).
thf(f1172,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = $true )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4
| ~ spl15_37
| ~ spl15_42 ),
inference(forward_demodulation,[status(thm)],[f1128,f1152]) ).
thf(f1152,plain,
( ( $true = sK34 )
| ~ spl15_4
| ~ spl15_37
| ~ spl15_42 ),
inference(trivial_inequality_removal,[status(thm)],[f1151]) ).
thf(f1151,plain,
( ( $false = $true )
| ( $true = sK34 )
| ~ spl15_4
| ~ spl15_37
| ~ spl15_42 ),
inference(forward_demodulation,[status(thm)],[f1150,f772]) ).
thf(f1165,plain,
( ~ spl15_31
| ~ spl15_37
| spl15_54
| ~ spl15_60 ),
inference(avatar_contradiction_clause,[status(thm)],[f1164]) ).
thf(f1164,plain,
( $false
| ~ spl15_31
| ~ spl15_37
| spl15_54
| ~ spl15_60 ),
inference(trivial_inequality_removal,[status(thm)],[f1163]) ).
thf(f1163,plain,
( ( $false = $true )
| ~ spl15_31
| ~ spl15_37
| spl15_54
| ~ spl15_60 ),
inference(backward_demodulation,[status(thm)],[f1103,f1017]) ).
thf(f1103,plain,
( ( sK29 = $true )
| ~ spl15_31
| ~ spl15_37
| spl15_54 ),
inference(trivial_inequality_removal,[status(thm)],[f1102]) ).
thf(f1102,plain,
( ( sK29 = $true )
| ( $false = $true )
| ~ spl15_31
| ~ spl15_37
| spl15_54 ),
inference(forward_demodulation,[status(thm)],[f1101,f697]) ).
thf(f1101,plain,
( ( sK29 = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_37
| spl15_54 ),
inference(trivial_inequality_removal,[status(thm)],[f1100]) ).
thf(f1100,plain,
( ( $false = $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK29 = $true )
| ~ spl15_37
| spl15_54 ),
inference(forward_demodulation,[status(thm)],[f1009,f736]) ).
thf(f1157,plain,
( spl15_26
| spl15_38
| spl15_58
| ~ spl15_62 ),
inference(avatar_contradiction_clause,[status(thm)],[f1156]) ).
thf(f1156,plain,
( $false
| spl15_26
| spl15_38
| spl15_58
| ~ spl15_62 ),
inference(trivial_inequality_removal,[status(thm)],[f1155]) ).
thf(f1155,plain,
( ( $false = $true )
| spl15_26
| spl15_38
| spl15_58
| ~ spl15_62 ),
inference(backward_demodulation,[status(thm)],[f1064,f1154]) ).
thf(f1154,plain,
( ( $false = sK32 )
| spl15_26
| spl15_38
| spl15_58 ),
inference(subsumption_resolution,[status(thm)],[f1153,f674]) ).
thf(f674,plain,
( ( $false
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_26 ),
inference(avatar_component_clause,[status(thm)],[f673]) ).
thf(f1153,plain,
( ( $false = sK32 )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_38
| spl15_58 ),
inference(subsumption_resolution,[status(thm)],[f1058,f753]) ).
thf(f1139,plain,
( ~ spl15_4
| ~ spl15_37
| ~ spl15_38
| ~ spl15_42
| ~ spl15_51 ),
inference(avatar_contradiction_clause,[status(thm)],[f1138]) ).
thf(f1138,plain,
( $false
| ~ spl15_4
| ~ spl15_37
| ~ spl15_38
| ~ spl15_42
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1137]) ).
thf(f1137,plain,
( ( $false = $true )
| ~ spl15_4
| ~ spl15_37
| ~ spl15_38
| ~ spl15_42
| ~ spl15_51 ),
inference(forward_demodulation,[status(thm)],[f1136,f736]) ).
thf(f1136,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_42
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1135]) ).
thf(f1135,plain,
( ( $false = $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_42
| ~ spl15_51 ),
inference(forward_demodulation,[status(thm)],[f1134,f772]) ).
thf(f1134,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1133]) ).
thf(f1133,plain,
( ( $false = $true )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_51 ),
inference(forward_demodulation,[status(thm)],[f1125,f1132]) ).
thf(f1132,plain,
( ( $false = sK34 )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1131]) ).
thf(f1131,plain,
( ( $false = $true )
| ( $false = sK34 )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_51 ),
inference(forward_demodulation,[status(thm)],[f1130,f754]) ).
thf(f1130,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK34 )
| ~ spl15_4
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1129]) ).
thf(f1129,plain,
( ( $false = sK34 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_51 ),
inference(forward_demodulation,[status(thm)],[f1127,f885]) ).
thf(f1111,plain,
( spl15_62
| ~ spl15_31
| ~ spl15_42
| spl15_58 ),
inference(avatar_split_clause,[status(thm)],[f1110,f946,f770,f695,f1062]) ).
thf(f1110,plain,
( ( sK32 = $true )
| ~ spl15_31
| ~ spl15_42
| spl15_58 ),
inference(trivial_inequality_removal,[status(thm)],[f1109]) ).
thf(f1109,plain,
( ( $false = $true )
| ( sK32 = $true )
| ~ spl15_31
| ~ spl15_42
| spl15_58 ),
inference(forward_demodulation,[status(thm)],[f1108,f772]) ).
thf(f1108,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK32 = $true )
| ~ spl15_31
| spl15_58 ),
inference(trivial_inequality_removal,[status(thm)],[f1107]) ).
thf(f1107,plain,
( ( sK32 = $true )
| ( $false = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_31
| spl15_58 ),
inference(forward_demodulation,[status(thm)],[f1055,f697]) ).
thf(f1106,plain,
( ~ spl15_29
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[status(thm)],[f1105]) ).
thf(f1105,plain,
( $false
| ~ spl15_29
| ~ spl15_32 ),
inference(trivial_inequality_removal,[status(thm)],[f1104]) ).
thf(f1104,plain,
( ( $false = $true )
| ~ spl15_29
| ~ spl15_32 ),
inference(forward_demodulation,[status(thm)],[f688,f701]) ).
thf(f688,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_29 ),
inference(avatar_component_clause,[status(thm)],[f686]) ).
thf(f686,definition,
( spl15_29
<=> ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_29])],[avatar_definition]) ).
thf(f1098,plain,
( ~ spl15_28
| ~ spl15_31 ),
inference(avatar_contradiction_clause,[status(thm)],[f1097]) ).
thf(f1097,plain,
( $false
| ~ spl15_28
| ~ spl15_31 ),
inference(trivial_inequality_removal,[status(thm)],[f1096]) ).
thf(f1096,plain,
( ( $false = $true )
| ~ spl15_28
| ~ spl15_31 ),
inference(backward_demodulation,[status(thm)],[f684,f697]) ).
thf(f684,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_28 ),
inference(avatar_component_clause,[status(thm)],[f682]) ).
thf(f1095,plain,
( spl15_31
| spl15_64
| spl15_48
| spl15_53 ),
inference(avatar_split_clause,[status(thm)],[f1090,f913,f819,f1092,f695]) ).
thf(f1090,plain,
( ( $true = sK28 )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_48
| spl15_53 ),
inference(subsumption_resolution,[status(thm)],[f1002,f820]) ).
thf(f1084,plain,
( spl15_63
| spl15_47
| ~ spl15_32
| spl15_55 ),
inference(avatar_split_clause,[status(thm)],[f1038,f923,f699,f814,f1081]) ).
thf(f1038,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK30 = $true )
| ~ spl15_32
| spl15_55 ),
inference(trivial_inequality_removal,[status(thm)],[f1037]) ).
thf(f1037,plain,
( ( $false = $true )
| ( sK30 = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_32
| spl15_55 ),
inference(forward_demodulation,[status(thm)],[f1026,f701]) ).
thf(f1026,plain,
( ( sK30 = $true )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_55 ),
inference(binary_proxy_clausification,[status(thm)],[f1025]) ).
thf(f1079,plain,
( ~ spl15_38
| ~ spl15_42
| ~ spl15_45
| ~ spl15_48
| spl15_56 ),
inference(avatar_contradiction_clause,[status(thm)],[f1078]) ).
thf(f1078,plain,
( $false
| ~ spl15_38
| ~ spl15_42
| ~ spl15_45
| ~ spl15_48
| spl15_56 ),
inference(trivial_inequality_removal,[status(thm)],[f1077]) ).
thf(f1077,plain,
( ( $false = $true )
| ~ spl15_38
| ~ spl15_42
| ~ spl15_45
| ~ spl15_48
| spl15_56 ),
inference(forward_demodulation,[status(thm)],[f1076,f772]) ).
thf(f1076,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_38
| ~ spl15_45
| ~ spl15_48
| spl15_56 ),
inference(trivial_inequality_removal,[status(thm)],[f1075]) ).
thf(f1075,plain,
( ( $false = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_38
| ~ spl15_45
| ~ spl15_48
| spl15_56 ),
inference(forward_demodulation,[status(thm)],[f1074,f1051]) ).
thf(f1051,plain,
( ( $false = sK31 )
| ~ spl15_38
| ~ spl15_45
| spl15_56 ),
inference(trivial_inequality_removal,[status(thm)],[f1050]) ).
thf(f1050,plain,
( ( $false = sK31 )
| ( $false = $true )
| ~ spl15_38
| ~ spl15_45
| spl15_56 ),
inference(forward_demodulation,[status(thm)],[f1049,f754]) ).
thf(f1049,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK31 )
| ~ spl15_45
| spl15_56 ),
inference(trivial_inequality_removal,[status(thm)],[f1048]) ).
thf(f1048,plain,
( ( $false = $true )
| ( $false = sK31 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_45
| spl15_56 ),
inference(forward_demodulation,[status(thm)],[f1046,f807]) ).
thf(f1046,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK31 )
| spl15_56 ),
inference(binary_proxy_clausification,[status(thm)],[f1042]) ).
thf(f1074,plain,
( ( sK31 = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_48
| spl15_56 ),
inference(trivial_inequality_removal,[status(thm)],[f1073]) ).
thf(f1073,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( sK31 = $true )
| ( $false = $true )
| ~ spl15_48
| spl15_56 ),
inference(forward_demodulation,[status(thm)],[f1044,f821]) ).
thf(f1072,plain,
( ~ spl15_47
| ~ spl15_48 ),
inference(avatar_contradiction_clause,[status(thm)],[f1071]) ).
thf(f1071,plain,
( $false
| ~ spl15_47
| ~ spl15_48 ),
inference(trivial_inequality_removal,[status(thm)],[f1070]) ).
thf(f1070,plain,
( ( $false = $true )
| ~ spl15_47
| ~ spl15_48 ),
inference(forward_demodulation,[status(thm)],[f816,f821]) ).
thf(f816,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_47 ),
inference(avatar_component_clause,[status(thm)],[f814]) ).
thf(f1068,plain,
( ~ spl15_40
| ~ spl15_42 ),
inference(avatar_contradiction_clause,[status(thm)],[f1067]) ).
thf(f1067,plain,
( $false
| ~ spl15_40
| ~ spl15_42 ),
inference(trivial_inequality_removal,[status(thm)],[f1066]) ).
thf(f1066,plain,
( ( $false = $true )
| ~ spl15_40
| ~ spl15_42 ),
inference(backward_demodulation,[status(thm)],[f763,f772]) ).
thf(f763,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_40 ),
inference(avatar_component_clause,[status(thm)],[f761]) ).
thf(f1065,plain,
( spl15_62
| spl15_42
| ~ spl15_28
| spl15_58 ),
inference(avatar_split_clause,[status(thm)],[f1060,f946,f682,f770,f1062]) ).
thf(f1060,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK32 = $true )
| ~ spl15_28
| spl15_58 ),
inference(trivial_inequality_removal,[status(thm)],[f1059]) ).
thf(f1059,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK32 = $true )
| ( $false = $true )
| ~ spl15_28
| spl15_58 ),
inference(forward_demodulation,[status(thm)],[f1056,f684]) ).
thf(f1021,plain,
( ~ spl15_33
| ~ spl15_51 ),
inference(avatar_contradiction_clause,[status(thm)],[f1020]) ).
thf(f1020,plain,
( $false
| ~ spl15_33
| ~ spl15_51 ),
inference(trivial_inequality_removal,[status(thm)],[f1019]) ).
thf(f1019,plain,
( ( $false = $true )
| ~ spl15_33
| ~ spl15_51 ),
inference(backward_demodulation,[status(thm)],[f718,f885]) ).
thf(f718,plain,
( ( $true
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_33 ),
inference(avatar_component_clause,[status(thm)],[f716]) ).
thf(f960,plain,
( ~ spl15_23
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[status(thm)],[f959]) ).
thf(f959,plain,
( $false
| ~ spl15_23
| ~ spl15_26 ),
inference(trivial_inequality_removal,[status(thm)],[f958]) ).
thf(f958,plain,
( ( $false = $true )
| ~ spl15_23
| ~ spl15_26 ),
inference(backward_demodulation,[status(thm)],[f662,f675]) ).
thf(f662,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_23 ),
inference(avatar_component_clause,[status(thm)],[f660]) ).
thf(f954,plain,
( ~ spl15_4
| ~ spl15_59 ),
inference(avatar_split_clause,[status(thm)],[f231,f951,f93]) ).
thf(f231,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f230]) ).
thf(f230,plain,
( ( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f217]) ).
thf(f217,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[status(thm)],[f39]) ).
thf(f39,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK2 @ X0 ) @ ( sK3 @ X0 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f949,plain,
( ~ spl15_58
| ~ spl15_4 ),
inference(avatar_split_clause,[status(thm)],[f263,f93,f946]) ).
thf(f263,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f262]) ).
thf(f262,plain,
( ( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f241]) ).
thf(f241,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f40]) ).
thf(f40,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK8 @ X0 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f944,plain,
( spl15_4
| ~ spl15_5
| spl15_6
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[status(thm)],[f943]) ).
thf(f943,plain,
( $false
| spl15_4
| ~ spl15_5
| spl15_6
| ~ spl15_57 ),
inference(subsumption_resolution,[status(thm)],[f942,f941]) ).
thf(f941,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| spl15_4
| ~ spl15_5 ),
inference(subsumption_resolution,[status(thm)],[f940,f95]) ).
thf(f95,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_4 ),
inference(avatar_component_clause,[status(thm)],[f93]) ).
thf(f940,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ~ spl15_5 ),
inference(subsumption_resolution,[status(thm)],[f423,f340]) ).
thf(f340,plain,
( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_5 ),
inference(avatar_component_clause,[status(thm)],[f339]) ).
thf(f339,definition,
( spl15_5
<=> ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_5])],[avatar_definition]) ).
thf(f423,plain,
( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f422]) ).
thf(f422,plain,
( ( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f406]) ).
thf(f406,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(primitive_instantiation,[status(thm)],[f52]) ).
thf(f52,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK14 @ X0 ) @ ( sK13 @ X0 ) ) )
| ( ( sP0 @ X0 )
= $true )
| ( $true
= ( sK12 @ X0 @ ( sK10 @ X0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f18,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( ( X0 @ ( sK11 @ X0 ) @ ( sK10 @ X0 ) )
= $true )
& ( $true
= ( sK12 @ X0 @ ( sK10 @ X0 ) ) )
& ( ( sK12 @ X0 @ ( sK11 @ X0 ) )
!= $true ) )
| ( ( $true
!= ( X0 @ ( sK14 @ X0 ) @ ( sK13 @ X0 ) ) )
& ( ( X0 @ ( sK13 @ X0 ) @ ( sK14 @ X0 ) )
= $true ) )
| ( ( sP0 @ X0 )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f15,f17,f16]) ).
thf(f16,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X1: $o > $o,X2: $o > $o,X3: ( $o > $o ) > $o] :
( ( ( X0 @ X2 @ X1 )
= $true )
& ( ( X3 @ X1 )
= $true )
& ( ( X3 @ X2 )
!= $true ) )
=> ( ( ( X0 @ ( sK11 @ X0 ) @ ( sK10 @ X0 ) )
= $true )
& ( $true
= ( sK12 @ X0 @ ( sK10 @ X0 ) ) )
& ( ( sK12 @ X0 @ ( sK11 @ X0 ) )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X4: $o > $o,X5: $o > $o] :
( ( ( X0 @ X5 @ X4 )
!= $true )
& ( $true
= ( X0 @ X4 @ X5 ) ) )
=> ( ( $true
!= ( X0 @ ( sK14 @ X0 ) @ ( sK13 @ X0 ) ) )
& ( ( X0 @ ( sK13 @ X0 ) @ ( sK14 @ X0 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X1: $o > $o,X2: $o > $o,X3: ( $o > $o ) > $o] :
( ( ( X0 @ X2 @ X1 )
= $true )
& ( ( X3 @ X1 )
= $true )
& ( ( X3 @ X2 )
!= $true ) )
| ? [X4: $o > $o,X5: $o > $o] :
( ( ( X0 @ X5 @ X4 )
!= $true )
& ( $true
= ( X0 @ X4 @ X5 ) ) )
| ( ( sP0 @ X0 )
= $true ) ),
inference(rectify,[status(thm)],[f10]) ).
thf(f10,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X3: $o > $o,X1: $o > $o,X2: ( $o > $o ) > $o] :
( ( ( X0 @ X1 @ X3 )
= $true )
& ( ( X2 @ X3 )
= $true )
& ( ( X2 @ X1 )
!= $true ) )
| ? [X14: $o > $o,X13: $o > $o] :
( ( ( X0 @ X13 @ X14 )
!= $true )
& ( $true
= ( X0 @ X14 @ X13 ) ) )
| ( ( sP0 @ X0 )
= $true ) ),
inference(definition_folding,[status(thm)],[f8,f9]) ).
thf(f8,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X3: $o > $o,X1: $o > $o,X2: ( $o > $o ) > $o] :
( ( ( X0 @ X1 @ X3 )
= $true )
& ( ( X2 @ X3 )
= $true )
& ( ( X2 @ X1 )
!= $true ) )
| ? [X14: $o > $o,X13: $o > $o] :
( ( ( X0 @ X13 @ X14 )
!= $true )
& ( $true
= ( X0 @ X14 @ X13 ) ) )
| ? [X7: $o > $o,X8: $o > $o,X11: $o > $o,X9: ( $o > $o ) > $o,X12: ( $o > $o ) > $o,X4: ( $o > $o ) > $o,X6: $o > $o,X10: $o > $o,X5: ( $o > $o ) > $o] :
( ( ( X9 @ X7 )
!= $true )
& ( ( X5 @ X8 )
!= $true )
& ( ( X9 @ X6 )
= $true )
& ( $true
!= ( X0 @ X11 @ X6 ) )
& ( ( X4 @ X8 )
!= $true )
& ( ( X12 @ X10 )
!= $true )
& ( ( X0 @ X7 @ X8 )
!= $true )
& ( ( X4 @ X11 )
!= $true )
& ( ( X0 @ X7 @ X10 )
!= $true )
& ( ( X0 @ X8 @ X11 )
!= $true )
& ( ( X9 @ X10 )
!= $true )
& ( ( X0 @ X7 @ X6 )
!= $true )
& ( ( X12 @ X6 )
!= $true )
& ( ( X0 @ X11 @ X10 )
!= $true )
& ( ( X0 @ X8 @ X6 )
!= $true )
& ( ( X9 @ X11 )
!= $true )
& ( $true
= ( X12 @ X8 ) )
& ( ( X0 @ X6 @ X10 )
!= $true )
& ( ( X5 @ X11 )
= $true )
& ( ( X0 @ X8 @ X10 )
!= $true )
& ( ( X12 @ X11 )
!= $true )
& ( $true
!= ( X0 @ X7 @ X11 ) )
& ( ( X9 @ X8 )
!= $true )
& ( ( X5 @ X10 )
!= $true )
& ( ( X12 @ X7 )
!= $true )
& ( $true
= ( X4 @ X10 ) )
& ( ( X4 @ X6 )
!= $true )
& ( ( X4 @ X7 )
!= $true )
& ( ( X5 @ X6 )
!= $true )
& ( ( X5 @ X7 )
!= $true ) ) ),
inference(flattening,[status(thm)],[f7]) ).
thf(f7,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ? [X14: $o > $o,X13: $o > $o] :
( ( ( X0 @ X13 @ X14 )
!= $true )
& ( $true
= ( X0 @ X14 @ X13 ) ) )
| ? [X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X10: $o > $o,X11: $o > $o,X12: ( $o > $o ) > $o,X6: $o > $o,X7: $o > $o,X8: $o > $o,X9: ( $o > $o ) > $o] :
( ( $true
!= ( X0 @ X11 @ X6 ) )
& ( ( X0 @ X7 @ X8 )
!= $true )
& ( ( X0 @ X11 @ X10 )
!= $true )
& ( ( X0 @ X8 @ X10 )
!= $true )
& ( ( X0 @ X7 @ X6 )
!= $true )
& ( ( X0 @ X8 @ X11 )
!= $true )
& ( $true
!= ( X0 @ X7 @ X11 ) )
& ( ( X0 @ X7 @ X10 )
!= $true )
& ( ( X0 @ X6 @ X10 )
!= $true )
& ( ( X0 @ X8 @ X6 )
!= $true )
& ( ( X4 @ X11 )
!= $true )
& ( ( X5 @ X10 )
!= $true )
& ( ( X5 @ X7 )
!= $true )
& ( ( X9 @ X10 )
!= $true )
& ( ( X12 @ X6 )
!= $true )
& ( $true
= ( X12 @ X8 ) )
& ( ( X9 @ X8 )
!= $true )
& ( ( X5 @ X8 )
!= $true )
& ( ( X4 @ X6 )
!= $true )
& ( ( X9 @ X7 )
!= $true )
& ( $true
= ( X4 @ X10 ) )
& ( ( X9 @ X11 )
!= $true )
& ( ( X12 @ X11 )
!= $true )
& ( ( X4 @ X8 )
!= $true )
& ( ( X12 @ X7 )
!= $true )
& ( ( X9 @ X6 )
= $true )
& ( ( X4 @ X7 )
!= $true )
& ( ( X12 @ X10 )
!= $true )
& ( ( X5 @ X6 )
!= $true )
& ( ( X5 @ X11 )
= $true ) )
| ? [X3: $o > $o,X1: $o > $o,X2: ( $o > $o ) > $o] :
( ( ( X0 @ X1 @ X3 )
= $true )
& ( ( X2 @ X1 )
!= $true )
& ( ( X2 @ X3 )
= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X14: $o > $o,X13: $o > $o] :
( ( $true
= ( X0 @ X14 @ X13 ) )
=> ( ( X0 @ X13 @ X14 )
= $true ) )
& ! [X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X10: $o > $o,X11: $o > $o,X12: ( $o > $o ) > $o,X6: $o > $o,X7: $o > $o,X8: $o > $o,X9: ( $o > $o ) > $o] :
( ( ( ( X4 @ X11 )
!= $true )
& ( ( X5 @ X10 )
!= $true )
& ( ( X5 @ X7 )
!= $true )
& ( ( X9 @ X10 )
!= $true )
& ( ( X12 @ X6 )
!= $true )
& ( $true
= ( X12 @ X8 ) )
& ( ( X9 @ X8 )
!= $true )
& ( ( X5 @ X8 )
!= $true )
& ( ( X4 @ X6 )
!= $true )
& ( ( X9 @ X7 )
!= $true )
& ( $true
= ( X4 @ X10 ) )
& ( ( X9 @ X11 )
!= $true )
& ( ( X12 @ X11 )
!= $true )
& ( ( X4 @ X8 )
!= $true )
& ( ( X12 @ X7 )
!= $true )
& ( ( X9 @ X6 )
= $true )
& ( ( X4 @ X7 )
!= $true )
& ( ( X12 @ X10 )
!= $true )
& ( ( X5 @ X6 )
!= $true )
& ( ( X5 @ X11 )
= $true ) )
=> ( ( $true
= ( X0 @ X11 @ X6 ) )
| ( ( X0 @ X7 @ X8 )
= $true )
| ( ( X0 @ X11 @ X10 )
= $true )
| ( ( X0 @ X8 @ X10 )
= $true )
| ( ( X0 @ X7 @ X6 )
= $true )
| ( ( X0 @ X8 @ X11 )
= $true )
| ( $true
= ( X0 @ X7 @ X11 ) )
| ( ( X0 @ X7 @ X10 )
= $true )
| ( ( X0 @ X6 @ X10 )
= $true )
| ( ( X0 @ X8 @ X6 )
= $true ) ) )
& ! [X3: $o > $o,X1: $o > $o,X2: ( $o > $o ) > $o] :
( ( ( ( X2 @ X1 )
!= $true )
& ( ( X2 @ X3 )
= $true ) )
=> ( ( X0 @ X1 @ X3 )
!= $true ) ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
~ ? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X1: $o > $o,X2: ( $o > $o ) > $o,X3: $o > $o] :
( ( ( ( X2 @ X1 )
!= $true )
& ( ( X2 @ X3 )
= $true ) )
=> ( ( X0 @ X1 @ X3 )
!= $true ) )
& ! [X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: $o > $o,X7: $o > $o,X8: $o > $o,X9: ( $o > $o ) > $o,X10: $o > $o,X11: $o > $o,X12: ( $o > $o ) > $o] :
( ( ( ( X9 @ X6 )
= $true )
& ( ( X9 @ X10 )
!= $true )
& ( $true
= ( X4 @ X10 ) )
& ( ( X5 @ X6 )
!= $true )
& ( ( X4 @ X8 )
!= $true )
& ( ( X5 @ X10 )
!= $true )
& ( ( X9 @ X11 )
!= $true )
& ( ( X5 @ X11 )
= $true )
& ( ( X4 @ X11 )
!= $true )
& ( ( X4 @ X7 )
!= $true )
& ( ( X12 @ X7 )
!= $true )
& ( $true
= ( X12 @ X8 ) )
& ( ( X12 @ X10 )
!= $true )
& ( ( X5 @ X8 )
!= $true )
& ( ( X4 @ X6 )
!= $true )
& ( ( X12 @ X6 )
!= $true )
& ( ( X12 @ X11 )
!= $true )
& ( ( X5 @ X7 )
!= $true )
& ( ( X9 @ X8 )
!= $true )
& ( ( X9 @ X7 )
!= $true ) )
=> ( ( $true
= ( X0 @ X11 @ X6 ) )
| ( ( X0 @ X7 @ X8 )
= $true )
| ( ( X0 @ X11 @ X10 )
= $true )
| ( ( X0 @ X8 @ X10 )
= $true )
| ( ( X0 @ X7 @ X6 )
= $true )
| ( ( X0 @ X8 @ X11 )
= $true )
| ( $true
= ( X0 @ X7 @ X11 ) )
| ( ( X0 @ X7 @ X10 )
= $true )
| ( ( X0 @ X6 @ X10 )
= $true )
| ( ( X0 @ X8 @ X6 )
= $true ) ) )
& ! [X14: $o > $o,X13: $o > $o] :
( ( $true
= ( X0 @ X14 @ X13 ) )
=> ( ( X0 @ X13 @ X14 )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X1: $o > $o,X2: ( $o > $o ) > $o,X3: $o > $o] :
( ( ~ ( X2 @ X1 )
& ( X2 @ X3 ) )
=> ~ ( X0 @ X1 @ X3 ) )
& ! [X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: $o > $o,X7: $o > $o,X8: $o > $o,X9: ( $o > $o ) > $o,X10: $o > $o,X11: $o > $o,X12: ( $o > $o ) > $o] :
( ( ( X9 @ X6 )
& ~ ( X9 @ X10 )
& ( X4 @ X10 )
& ~ ( X5 @ X6 )
& ~ ( X4 @ X8 )
& ~ ( X5 @ X10 )
& ~ ( X9 @ X11 )
& ( X5 @ X11 )
& ~ ( X4 @ X11 )
& ~ ( X4 @ X7 )
& ~ ( X12 @ X7 )
& ( X12 @ X8 )
& ~ ( X12 @ X10 )
& ~ ( X5 @ X8 )
& ~ ( X4 @ X6 )
& ~ ( X12 @ X6 )
& ~ ( X12 @ X11 )
& ~ ( X5 @ X7 )
& ~ ( X9 @ X8 )
& ~ ( X9 @ X7 ) )
=> ( ( X0 @ X11 @ X6 )
| ( X0 @ X8 @ X6 )
| ( X0 @ X7 @ X8 )
| ( X0 @ X7 @ X6 )
| ( X0 @ X11 @ X10 )
| ( X0 @ X7 @ X10 )
| ( X0 @ X8 @ X11 )
| ( X0 @ X8 @ X10 )
| ( X0 @ X6 @ X10 )
| ( X0 @ X7 @ X11 ) ) )
& ! [X13: $o > $o,X14: $o > $o] :
( ( X0 @ X14 @ X13 )
=> ( X0 @ X13 @ X14 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X4: $o > $o,X5: ( $o > $o ) > $o,X3: $o > $o] :
( ( ~ ( X5 @ X4 )
& ( X5 @ X3 ) )
=> ~ ( X0 @ X4 @ X3 ) )
& ! [X5: ( $o > $o ) > $o,X10: ( $o > $o ) > $o,X4: $o > $o,X8: $o > $o,X7: $o > $o,X9: ( $o > $o ) > $o,X3: $o > $o,X6: $o > $o,X11: ( $o > $o ) > $o] :
( ( ( X9 @ X4 )
& ~ ( X9 @ X3 )
& ( X5 @ X3 )
& ~ ( X10 @ X4 )
& ~ ( X5 @ X7 )
& ~ ( X10 @ X3 )
& ~ ( X9 @ X6 )
& ( X10 @ X6 )
& ~ ( X5 @ X6 )
& ~ ( X5 @ X8 )
& ~ ( X11 @ X8 )
& ( X11 @ X7 )
& ~ ( X11 @ X3 )
& ~ ( X10 @ X7 )
& ~ ( X5 @ X4 )
& ~ ( X11 @ X4 )
& ~ ( X11 @ X6 )
& ~ ( X10 @ X8 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X8 ) )
=> ( ( X0 @ X6 @ X4 )
| ( X0 @ X7 @ X4 )
| ( X0 @ X8 @ X7 )
| ( X0 @ X8 @ X4 )
| ( X0 @ X6 @ X3 )
| ( X0 @ X8 @ X3 )
| ( X0 @ X7 @ X6 )
| ( X0 @ X7 @ X3 )
| ( X0 @ X4 @ X3 )
| ( X0 @ X8 @ X6 ) ) )
& ! [X2: $o > $o,X1: $o > $o] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [X4: $o > $o,X5: ( $o > $o ) > $o,X3: $o > $o] :
( ( ~ ( X5 @ X4 )
& ( X5 @ X3 ) )
=> ~ ( X0 @ X4 @ X3 ) )
& ! [X5: ( $o > $o ) > $o,X10: ( $o > $o ) > $o,X4: $o > $o,X8: $o > $o,X7: $o > $o,X9: ( $o > $o ) > $o,X3: $o > $o,X6: $o > $o,X11: ( $o > $o ) > $o] :
( ( ( X9 @ X4 )
& ~ ( X9 @ X3 )
& ( X5 @ X3 )
& ~ ( X10 @ X4 )
& ~ ( X5 @ X7 )
& ~ ( X10 @ X3 )
& ~ ( X9 @ X6 )
& ( X10 @ X6 )
& ~ ( X5 @ X6 )
& ~ ( X5 @ X8 )
& ~ ( X11 @ X8 )
& ( X11 @ X7 )
& ~ ( X11 @ X3 )
& ~ ( X10 @ X7 )
& ~ ( X5 @ X4 )
& ~ ( X11 @ X4 )
& ~ ( X11 @ X6 )
& ~ ( X10 @ X8 )
& ~ ( X9 @ X7 )
& ~ ( X9 @ X8 ) )
=> ( ( X0 @ X6 @ X4 )
| ( X0 @ X7 @ X4 )
| ( X0 @ X8 @ X7 )
| ( X0 @ X8 @ X4 )
| ( X0 @ X6 @ X3 )
| ( X0 @ X8 @ X3 )
| ( X0 @ X7 @ X6 )
| ( X0 @ X7 @ X3 )
| ( X0 @ X4 @ X3 )
| ( X0 @ X8 @ X6 ) ) )
& ! [X2: $o > $o,X1: $o > $o] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bCFsY8Bm1y/DTF2THF_27030.p',ramsey_l_2_5_4) ).
thf(f942,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| spl15_6
| ~ spl15_57 ),
inference(backward_demodulation,[status(thm)],[f345,f936]) ).
thf(f936,plain,
( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_57 ),
inference(avatar_component_clause,[status(thm)],[f934]) ).
thf(f934,definition,
( spl15_57
<=> ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_57])],[avatar_definition]) ).
thf(f345,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| spl15_6 ),
inference(avatar_component_clause,[status(thm)],[f343]) ).
thf(f343,definition,
( spl15_6
<=> ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl15_6])],[avatar_definition]) ).
thf(f937,plain,
( ~ spl15_5
| spl15_57
| spl15_4 ),
inference(avatar_split_clause,[status(thm)],[f565,f93,f934,f339]) ).
thf(f565,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f564]) ).
thf(f564,plain,
( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(equality_proxy_clausification,[status(thm)],[f563]) ).
thf(f563,plain,
( ( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f500]) ).
thf(f500,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(primitive_instantiation,[status(thm)],[f54]) ).
thf(f54,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK14 @ X0 ) @ ( sK13 @ X0 ) ) )
| ( ( X0 @ ( sK11 @ X0 ) @ ( sK10 @ X0 ) )
= $true )
| ( ( sP0 @ X0 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f932,plain,
( spl15_4
| ~ spl15_6
| ~ spl15_5 ),
inference(avatar_split_clause,[status(thm)],[f330,f339,f343,f93]) ).
thf(f330,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f329]) ).
thf(f329,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f313]) ).
thf(f313,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[status(thm)],[f50]) ).
thf(f50,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK14 @ X0 ) @ ( sK13 @ X0 ) ) )
| ( ( sP0 @ X0 )
= $true )
| ( ( sK12 @ X0 @ ( sK11 @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f931,plain,
( ~ spl15_4
| ~ spl15_56 ),
inference(avatar_split_clause,[status(thm)],[f136,f928,f93]) ).
thf(f136,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f135]) ).
thf(f135,plain,
( ( $true
!= ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f121]) ).
thf(f121,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
!= ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f31]) ).
thf(f31,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK7 @ X0 ) @ ( sK8 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f926,plain,
( ~ spl15_55
| ~ spl15_4 ),
inference(avatar_split_clause,[status(thm)],[f295,f93,f923]) ).
thf(f295,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f294]) ).
thf(f294,plain,
( ( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f289]) ).
thf(f289,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[status(thm)],[f45]) ).
thf(f45,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK3 @ X0 ) @ ( sK7 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f921,plain,
( ~ spl15_4
| ~ spl15_54 ),
inference(avatar_split_clause,[status(thm)],[f271,f918,f93]) ).
thf(f271,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f270]) ).
thf(f270,plain,
( ( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f265]) ).
thf(f265,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f42]) ).
thf(f42,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f916,plain,
( ~ spl15_53
| ~ spl15_4 ),
inference(avatar_split_clause,[status(thm)],[f213,f93,f913]) ).
thf(f213,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f212]) ).
thf(f212,plain,
( ( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f193]) ).
thf(f193,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
!= ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f37]) ).
thf(f37,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK1 @ X0 ) @ ( sK7 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f911,plain,
( ~ spl15_4
| ~ spl15_27
| ~ spl15_32
| ~ spl15_45
| ~ spl15_48 ),
inference(avatar_contradiction_clause,[status(thm)],[f910]) ).
thf(f910,plain,
( $false
| ~ spl15_4
| ~ spl15_27
| ~ spl15_32
| ~ spl15_45
| ~ spl15_48 ),
inference(trivial_inequality_removal,[status(thm)],[f909]) ).
thf(f909,plain,
( ( $false = $true )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_32
| ~ spl15_45
| ~ spl15_48 ),
inference(forward_demodulation,[status(thm)],[f908,f701]) ).
thf(f908,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_45
| ~ spl15_48 ),
inference(trivial_inequality_removal,[status(thm)],[f907]) ).
thf(f907,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_45
| ~ spl15_48 ),
inference(forward_demodulation,[status(thm)],[f906,f904]) ).
thf(f904,plain,
( ( $false = sK27 )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_45 ),
inference(trivial_inequality_removal,[status(thm)],[f903]) ).
thf(f903,plain,
( ( $false = $true )
| ( $false = sK27 )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_45 ),
inference(forward_demodulation,[status(thm)],[f902,f807]) ).
thf(f902,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK27 )
| ~ spl15_4
| ~ spl15_27 ),
inference(trivial_inequality_removal,[status(thm)],[f901]) ).
thf(f901,plain,
( ( $false = sK27 )
| ( $false = $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4
| ~ spl15_27 ),
inference(forward_demodulation,[status(thm)],[f899,f679]) ).
thf(f899,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK27 )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f895]) ).
thf(f895,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK27 )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f894]) ).
thf(f894,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK27 )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK27 ) )
| ~ spl15_4 ),
inference(negative_extensionality,[status(thm)],[f642]) ).
thf(f642,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_4 ),
inference(subsumption_resolution,[status(thm)],[f295,f94]) ).
thf(f906,plain,
( ( $true = sK27 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4
| ~ spl15_48 ),
inference(trivial_inequality_removal,[status(thm)],[f905]) ).
thf(f905,plain,
( ( $false = $true )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $true = sK27 )
| ~ spl15_4
| ~ spl15_48 ),
inference(forward_demodulation,[status(thm)],[f897,f821]) ).
thf(f897,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( $true = sK27 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f896]) ).
thf(f896,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $true = sK27 )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f894]) ).
thf(f893,plain,
( spl15_52
| spl15_37
| ~ spl15_4
| ~ spl15_28 ),
inference(avatar_split_clause,[status(thm)],[f888,f682,f93,f734,f890]) ).
thf(f888,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK26 = $true )
| ~ spl15_4
| ~ spl15_28 ),
inference(trivial_inequality_removal,[status(thm)],[f887]) ).
thf(f887,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false = $true )
| ( sK26 = $true )
| ~ spl15_4
| ~ spl15_28 ),
inference(forward_demodulation,[status(thm)],[f873,f684]) ).
thf(f873,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK26 = $true )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f871]) ).
thf(f871,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK26 = $true )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f869]) ).
thf(f869,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK26 )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK26 ) )
| ~ spl15_4 ),
inference(negative_extensionality,[status(thm)],[f641]) ).
thf(f641,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_4 ),
inference(subsumption_resolution,[status(thm)],[f271,f94]) ).
thf(f886,plain,
( spl15_50
| spl15_51
| ~ spl15_4
| ~ spl15_23 ),
inference(avatar_split_clause,[status(thm)],[f877,f660,f93,f883,f879]) ).
thf(f877,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK26 )
| ~ spl15_4
| ~ spl15_23 ),
inference(trivial_inequality_removal,[status(thm)],[f876]) ).
thf(f876,plain,
( ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = $true )
| ( $false = sK26 )
| ~ spl15_4
| ~ spl15_23 ),
inference(forward_demodulation,[status(thm)],[f875,f662]) ).
thf(f875,plain,
( ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK26 )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f870]) ).
thf(f870,plain,
( ( $false = sK26 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f869]) ).
thf(f854,plain,
( spl15_42
| spl15_32
| ~ spl15_4
| ~ spl15_27
| ~ spl15_38 ),
inference(avatar_split_clause,[status(thm)],[f853,f752,f677,f93,f699,f770]) ).
thf(f853,plain,
( ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_38 ),
inference(trivial_inequality_removal,[status(thm)],[f852]) ).
thf(f852,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_38 ),
inference(forward_demodulation,[status(thm)],[f845,f851]) ).
thf(f851,plain,
( ( $false = sK24 )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_38 ),
inference(trivial_inequality_removal,[status(thm)],[f850]) ).
thf(f850,plain,
( ( $false = $true )
| ( $false = sK24 )
| ~ spl15_4
| ~ spl15_27
| ~ spl15_38 ),
inference(forward_demodulation,[status(thm)],[f849,f679]) ).
thf(f849,plain,
( ( $false = sK24 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4
| ~ spl15_38 ),
inference(trivial_inequality_removal,[status(thm)],[f848]) ).
thf(f848,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = $true )
| ( $false = sK24 )
| ~ spl15_4
| ~ spl15_38 ),
inference(forward_demodulation,[status(thm)],[f846,f754]) ).
thf(f846,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK24 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f842]) ).
thf(f842,plain,
( ( $false = sK24 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f841]) ).
thf(f841,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK24 )
!= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK24 ) )
| ~ spl15_4 ),
inference(negative_extensionality,[status(thm)],[f639]) ).
thf(f639,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_4 ),
inference(subsumption_resolution,[status(thm)],[f182,f94]) ).
thf(f845,plain,
( ( sK24 = $true )
| ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f843]) ).
thf(f843,plain,
( ( sK24 = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f841]) ).
thf(f839,plain,
( spl15_48
| spl15_42
| ~ spl15_4
| ~ spl15_38
| ~ spl15_45 ),
inference(avatar_split_clause,[status(thm)],[f838,f805,f752,f93,f770,f819]) ).
thf(f838,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_45 ),
inference(trivial_inequality_removal,[status(thm)],[f837]) ).
thf(f837,plain,
( ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_45 ),
inference(forward_demodulation,[status(thm)],[f827,f833]) ).
thf(f833,plain,
( ( $false = sK23 )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_45 ),
inference(trivial_inequality_removal,[status(thm)],[f832]) ).
thf(f832,plain,
( ( $false = $true )
| ( $false = sK23 )
| ~ spl15_4
| ~ spl15_38
| ~ spl15_45 ),
inference(forward_demodulation,[status(thm)],[f831,f754]) ).
thf(f831,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK23 )
| ~ spl15_4
| ~ spl15_45 ),
inference(trivial_inequality_removal,[status(thm)],[f830]) ).
thf(f830,plain,
( ( $false = sK23 )
| ( $false = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4
| ~ spl15_45 ),
inference(forward_demodulation,[status(thm)],[f828,f807]) ).
thf(f828,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK23 )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f824]) ).
thf(f824,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK23 )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f823]) ).
thf(f823,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK23 )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK23 ) )
| ~ spl15_4 ),
inference(negative_extensionality,[status(thm)],[f638]) ).
thf(f638,plain,
( ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_4 ),
inference(subsumption_resolution,[status(thm)],[f136,f94]) ).
thf(f827,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( sK23 = $true )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f825]) ).
thf(f825,plain,
( ( sK23 = $true )
| ( ( sK8
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f823]) ).
thf(f822,plain,
( spl15_46
| spl15_37
| spl15_48
| ~ spl15_4 ),
inference(avatar_split_clause,[status(thm)],[f795,f93,f819,f734,f810]) ).
thf(f795,plain,
( ( $true = sK22 )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f793]) ).
thf(f793,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $true = sK22 )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f791]) ).
thf(f791,plain,
( ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK22 )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK22 ) )
| ~ spl15_4 ),
inference(negative_extensionality,[status(thm)],[f637]) ).
thf(f637,plain,
( ( ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ~ spl15_4 ),
inference(subsumption_resolution,[status(thm)],[f168,f94]) ).
thf(f808,plain,
( spl15_44
| spl15_45
| ~ spl15_4
| ~ spl15_33 ),
inference(avatar_split_clause,[status(thm)],[f799,f716,f93,f805,f801]) ).
thf(f799,plain,
( ( $false = sK22 )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4
| ~ spl15_33 ),
inference(trivial_inequality_removal,[status(thm)],[f798]) ).
thf(f798,plain,
( ( $false = sK22 )
| ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = $true )
| ~ spl15_4
| ~ spl15_33 ),
inference(forward_demodulation,[status(thm)],[f797,f718]) ).
thf(f797,plain,
( ( $false
= ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false = sK22 )
| ~ spl15_4 ),
inference(binary_proxy_clausification,[status(thm)],[f792]) ).
thf(f792,plain,
( ( $false = sK22 )
| ( ( sK7
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK2
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ~ spl15_4 ),
inference(cases_simplifying,[status(thm)],[f791]) ).
thf(f705,plain,
( ~ spl15_24
| ~ spl15_30 ),
inference(avatar_contradiction_clause,[status(thm)],[f704]) ).
thf(f704,plain,
( $false
| ~ spl15_24
| ~ spl15_30 ),
inference(trivial_inequality_removal,[status(thm)],[f703]) ).
thf(f703,plain,
( ( $false = $true )
| ~ spl15_24
| ~ spl15_30 ),
inference(backward_demodulation,[status(thm)],[f692,f666]) ).
thf(f666,plain,
( ( $false = sK18 )
| ~ spl15_24 ),
inference(avatar_component_clause,[status(thm)],[f664]) ).
thf(f664,definition,
( spl15_24
<=> ( $false = sK18 ) ),
introduced(definition,[new_symbols(naming,[spl15_24])],[avatar_definition]) ).
thf(f692,plain,
( ( $true = sK18 )
| ~ spl15_30 ),
inference(avatar_component_clause,[status(thm)],[f690]) ).
thf(f690,definition,
( spl15_30
<=> ( $true = sK18 ) ),
introduced(definition,[new_symbols(naming,[spl15_30])],[avatar_definition]) ).
thf(f702,plain,
( spl15_30
| spl15_31
| spl15_32
| spl15_3 ),
inference(avatar_split_clause,[status(thm)],[f656,f89,f699,f695,f690]) ).
thf(f89,definition,
( spl15_3
<=> ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl15_3])],[avatar_definition]) ).
thf(f656,plain,
( ( $true = sK18 )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_3 ),
inference(binary_proxy_clausification,[status(thm)],[f654]) ).
thf(f654,plain,
( ( $true = sK18 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
!= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false ) )
| spl15_3 ),
inference(cases_simplifying,[status(thm)],[f652]) ).
thf(f652,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK18 )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ sK18 ) )
| spl15_3 ),
inference(negative_extensionality,[status(thm)],[f91]) ).
thf(f91,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_3 ),
inference(avatar_component_clause,[status(thm)],[f89]) ).
thf(f693,plain,
( spl15_28
| spl15_29
| spl15_30
| spl15_3 ),
inference(avatar_split_clause,[status(thm)],[f655,f89,f690,f686,f682]) ).
thf(f655,plain,
( ( $true = sK18 )
| ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $false )
= $true )
| spl15_3 ),
inference(binary_proxy_clausification,[status(thm)],[f654]) ).
thf(f680,plain,
( spl15_24
| spl15_26
| spl15_27
| spl15_3 ),
inference(avatar_split_clause,[status(thm)],[f658,f89,f677,f673,f664]) ).
thf(f658,plain,
( ( $false = sK18 )
| ( $false
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| ( $false
= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_3 ),
inference(binary_proxy_clausification,[status(thm)],[f653]) ).
thf(f653,plain,
( ( $false = sK18 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true ) )
| spl15_3 ),
inference(cases_simplifying,[status(thm)],[f652]) ).
thf(f671,plain,
( spl15_23
| spl15_24
| spl15_25
| spl15_3 ),
inference(avatar_split_clause,[status(thm)],[f657,f89,f668,f664,f660]) ).
thf(f657,plain,
( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| ( $false = sK18 )
| ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ $true )
= $true )
| spl15_3 ),
inference(binary_proxy_clausification,[status(thm)],[f653]) ).
thf(f633,plain,
( spl15_4
| spl15_5 ),
inference(avatar_contradiction_clause,[status(thm)],[f632]) ).
thf(f632,plain,
( $false
| spl15_4
| spl15_5 ),
inference(subsumption_resolution,[status(thm)],[f631,f388]) ).
thf(f388,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| spl15_4
| spl15_5 ),
inference(subsumption_resolution,[status(thm)],[f387,f95]) ).
thf(f387,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| spl15_5 ),
inference(subsumption_resolution,[status(thm)],[f373,f341]) ).
thf(f341,plain,
( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_5 ),
inference(avatar_component_clause,[status(thm)],[f339]) ).
thf(f373,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f372]) ).
thf(f372,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f358]) ).
thf(f358,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(primitive_instantiation,[status(thm)],[f51]) ).
thf(f51,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK13 @ X0 ) @ ( sK14 @ X0 ) )
= $true )
| ( ( sP0 @ X0 )
= $true )
| ( $true
= ( sK12 @ X0 @ ( sK10 @ X0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f631,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| spl15_4
| spl15_5 ),
inference(subsumption_resolution,[status(thm)],[f630,f95]) ).
thf(f630,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| spl15_4
| spl15_5 ),
inference(subsumption_resolution,[status(thm)],[f627,f341]) ).
thf(f627,plain,
( ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| spl15_4
| spl15_5 ),
inference(equality_proxy_clausification,[status(thm)],[f626]) ).
thf(f626,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| spl15_4
| spl15_5 ),
inference(beta_eta_normalization,[status(thm)],[f625]) ).
thf(f625,plain,
( ( ( sK12
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_4
| spl15_5 ),
inference(superposition,[status(thm)],[f49,f499]) ).
thf(f499,plain,
( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_4
| spl15_5 ),
inference(subsumption_resolution,[status(thm)],[f498,f95]) ).
thf(f498,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| spl15_5 ),
inference(subsumption_resolution,[status(thm)],[f438,f341]) ).
thf(f438,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f437]) ).
thf(f437,plain,
( ( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f436]) ).
thf(f436,plain,
( ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f431]) ).
thf(f431,plain,
( ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK11
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK10
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( $true
= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK13
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK14
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(primitive_instantiation,[status(thm)],[f53]) ).
thf(f53,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK13 @ X0 ) @ ( sK14 @ X0 ) )
= $true )
| ( ( sP0 @ X0 )
= $true )
| ( ( X0 @ ( sK11 @ X0 ) @ ( sK10 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f49,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( sK12 @ X0 @ ( sK11 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
= $true )
| ( ( X0 @ ( sK13 @ X0 ) @ ( sK14 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f96,plain,
( ~ spl15_3
| ~ spl15_4 ),
inference(avatar_split_clause,[status(thm)],[f61,f93,f89]) ).
thf(f61,plain,
( ( ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
!= ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f60]) ).
thf(f60,plain,
( ( ( ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f55]) ).
thf(f55,plain,
( ( $true
!= ( sP0
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) )
| ( $true
!= ( ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 )
@ ( sK1
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) )
@ ( sK3
@ ^ [Y0: $o > $o,Y1: $o > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f27]) ).
thf(f27,plain,
! [X0: ( $o > $o ) > ( $o > $o ) > $o] :
( ( ( X0 @ ( sK1 @ X0 ) @ ( sK3 @ X0 ) )
!= $true )
| ( ( sP0 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA030^1 : TPTP v9.2.1. Released v3.6.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n022.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 07:25:06 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.46 ---- Original DTF file ---
% 0.20/0.46 thf(spec,logic,$$dhol).
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 % File : GRA030^1 : TPTP v9.2.1. Released v3.6.0.
% 0.20/0.46 % Domain : Graph Theory
% 0.20/0.46 % Problem : R(2,5) > 4
% 0.20/0.46 % Version : Especial.
% 0.20/0.46 % English :
% 0.20/0.46
% 0.20/0.46 % Refs : [Rad06] Radziszowski (2006), Small Ramsey Numbers
% 0.20/0.46 % : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.20/0.46 % Source : [Bro08]
% 0.20/0.46 % Names :
% 0.20/0.46
% 0.20/0.46 % Status : Theorem
% 0.20/0.46 % Rating : 0.42 v9.1.0, 0.50 v8.2.0, 0.64 v8.1.0, 0.67 v7.5.0, 0.75 v7.4.0, 0.78 v7.3.0, 0.80 v7.2.0, 0.75 v7.1.0, 0.71 v7.0.0, 0.75 v6.4.0, 0.71 v6.3.0, 0.83 v5.5.0, 0.80 v5.4.0, 0.75 v5.2.0, 1.00 v3.7.0
% 0.20/0.46 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.20/0.46 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.20/0.46 % Maximal formula atoms : 0 ( 0 avg)
% 0.20/0.46 % Number of connectives : 100 ( 18 ~; 9 |; 22 &; 48 @)
% 0.20/0.46 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.20/0.46 % Maximal formula depth : 35 ( 35 avg)
% 0.20/0.46 % Number of types : 1 ( 0 usr)
% 0.20/0.46 % Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% 0.20/0.46 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.20/0.46 % Number of variables : 15 ( 0 ^; 14 !; 1 ?; 15 :)
% 0.20/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.46
% 0.20/0.46 % Comments : If a type alpha has exactly n elements, then we can prove
% 0.20/0.46 % R(k,l) > n by finding a graph (symmetric binary relation) on type
% 0.20/0.46 % alpha with no k-cliques and no l-independent sets. Likewise, we
% 0.20/0.46 % can prove R(k,l) <= n by proving every graph (symmetric binary
% 0.20/0.46 % relation) on alpha must have a k-clique or l-independent set.
% 0.20/0.46 % There is one type with 4 elements: o > o. There are two types
% 0.20/0.46 % with 16 elements: o > o > o and (o > o) > o. There are two types
% 0.20/0.46 % with 256 elements: o > o > o > o and o > (o > o) > o. This means
% 0.20/0.46 % we always have two formulations of R(k,l) >/<= 16 and two
% 0.20/0.46 % formulations of R(k,l) >/<= 256.
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 thf(ramsey_l_2_5_4,conjecture,
% 0.20/0.46 ? [G: ( $o > $o ) > ( $o > $o ) > $o] :
% 0.20/0.46 ( ! [Xx: $o > $o,Xy: $o > $o] :
% 0.20/0.46 ( ( G @ Xx @ Xy )
% 0.20/0.46 => ( G @ Xy @ Xx ) )
% 0.20/0.46 & ! [Xx0: $o > $o,Xx1: $o > $o,Xp0: ( $o > $o ) > $o] :
% 0.20/0.46 ( ( ( Xp0 @ Xx0 )
% 0.20/0.46 & ~ ( Xp0 @ Xx1 ) )
% 0.20/0.46 => ~ ( G @ Xx1 @ Xx0 ) )
% 0.20/0.46 & ! [Xx0: $o > $o,Xx1: $o > $o,Xx2: $o > $o,Xx3: $o > $o,Xx4: $o > $o,Xp0: ( $o > $o ) > $o,Xp1: ( $o > $o ) > $o,Xp2: ( $o > $o ) > $o,Xp3: ( $o > $o ) > $o] :
% 0.20/0.46 ( ( ( Xp0 @ Xx0 )
% 0.20/0.46 & ~ ( Xp0 @ Xx1 )
% 0.20/0.46 & ~ ( Xp0 @ Xx2 )
% 0.20/0.46 & ~ ( Xp0 @ Xx3 )
% 0.20/0.46 & ~ ( Xp0 @ Xx4 )
% 0.20/0.46 & ~ ( Xp1 @ Xx0 )
% 0.20/0.46 & ( Xp1 @ Xx1 )
% 0.20/0.46 & ~ ( Xp1 @ Xx2 )
% 0.20/0.46 & ~ ( Xp1 @ Xx3 )
% 0.20/0.46 & ~ ( Xp1 @ Xx4 )
% 0.20/0.46 & ~ ( Xp2 @ Xx0 )
% 0.20/0.46 & ~ ( Xp2 @ Xx1 )
% 0.20/0.46 & ( Xp2 @ Xx2 )
% 0.20/0.46 & ~ ( Xp2 @ Xx3 )
% 0.20/0.46 & ~ ( Xp2 @ Xx4 )
% 0.20/0.46 & ~ ( Xp3 @ Xx0 )
% 0.20/0.46 & ~ ( Xp3 @ Xx1 )
% 0.20/0.46 & ~ ( Xp3 @ Xx2 )
% 0.20/0.46 & ( Xp3 @ Xx3 )
% 0.20/0.46 & ~ ( Xp3 @ Xx4 ) )
% 0.20/0.46 => ( ( G @ Xx1 @ Xx0 )
% 0.20/0.46 | ( G @ Xx2 @ Xx0 )
% 0.20/0.46 | ( G @ Xx2 @ Xx1 )
% 0.20/0.46 | ( G @ Xx3 @ Xx0 )
% 0.20/0.46 | ( G @ Xx3 @ Xx1 )
% 0.20/0.46 | ( G @ Xx3 @ Xx2 )
% 0.20/0.46 | ( G @ Xx4 @ Xx0 )
% 0.20/0.46 | ( G @ Xx4 @ Xx1 )
% 0.20/0.46 | ( G @ Xx4 @ Xx2 )
% 0.20/0.46 | ( G @ Xx4 @ Xx3 ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 ------------------------
% 1.53/1.26 ---- Embedded in THF ---
% 1.53/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.53/1.26 %%% Generated on Tue Feb 24 07:25:07 EST 2026
% 1.53/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.53/1.26 %%% Logic specification used:
% 1.53/1.26 %%% thf(spec, logic, $$dhol).
% 1.53/1.26
% 1.53/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.bCFsY8Bm1y/DTF2DTF27030.p
% See solution above
% 1.53/1.26 ------------------------
% 1.53/1.27 ---- Cleaned THF ---
% 1.53/1.27 thf(ramsey_l_2_5_4,conjecture,
% 1.53/1.27 ? [G: ( $o > $o ) > ( $o > $o ) > $o] :
% 1.53/1.27 ( ! [Xx: $o > $o,Xy: $o > $o] :
% 1.53/1.27 ( ( G @ Xx @ Xy )
% 1.53/1.27 => ( G @ Xy @ Xx ) )
% 1.53/1.27 & ! [Xx0: $o > $o,Xx1: $o > $o,Xp0: ( $o > $o ) > $o] :
% 1.53/1.27 ( ( ( Xp0 @ Xx0 )
% 1.53/1.27 & ~ ( Xp0 @ Xx1 ) )
% 1.53/1.27 => ~ ( G @ Xx1 @ Xx0 ) )
% 1.53/1.27 & ! [Xx0: $o > $o,Xx1: $o > $o,Xx2: $o > $o,Xx3: $o > $o,Xx4: $o > $o,Xp0: ( $o > $o ) > $o,Xp1: ( $o > $o ) > $o,Xp2: ( $o > $o ) > $o,Xp3: ( $o > $o ) > $o] :
% 1.53/1.27 ( ( ( Xp0 @ Xx0 )
% 1.53/1.27 & ~ ( Xp0 @ Xx1 )
% 1.53/1.27 & ~ ( Xp0 @ Xx2 )
% 1.53/1.27 & ~ ( Xp0 @ Xx3 )
% 1.53/1.27 & ~ ( Xp0 @ Xx4 )
% 1.53/1.27 & ~ ( Xp1 @ Xx0 )
% 1.53/1.27 & ( Xp1 @ Xx1 )
% 1.53/1.27 & ~ ( Xp1 @ Xx2 )
% 1.53/1.27 & ~ ( Xp1 @ Xx3 )
% 1.53/1.27 & ~ ( Xp1 @ Xx4 )
% 1.53/1.27 & ~ ( Xp2 @ Xx0 )
% 1.53/1.27 & ~ ( Xp2 @ Xx1 )
% 1.53/1.27 & ( Xp2 @ Xx2 )
% 1.53/1.27 & ~ ( Xp2 @ Xx3 )
% 1.53/1.27 & ~ ( Xp2 @ Xx4 )
% 1.53/1.27 & ~ ( Xp3 @ Xx0 )
% 1.53/1.27 & ~ ( Xp3 @ Xx1 )
% 1.53/1.27 & ~ ( Xp3 @ Xx2 )
% 1.53/1.27 & ( Xp3 @ Xx3 )
% 1.53/1.27 & ~ ( Xp3 @ Xx4 ) )
% 1.53/1.27 => ( ( G @ Xx1 @ Xx0 )
% 1.53/1.27 | ( G @ Xx2 @ Xx0 )
% 1.53/1.27 | ( G @ Xx2 @ Xx1 )
% 1.53/1.27 | ( G @ Xx3 @ Xx0 )
% 1.53/1.27 | ( G @ Xx3 @ Xx1 )
% 1.53/1.27 | ( G @ Xx3 @ Xx2 )
% 1.53/1.27 | ( G @ Xx4 @ Xx0 )
% 1.53/1.27 | ( G @ Xx4 @ Xx1 )
% 1.53/1.27 | ( G @ Xx4 @ Xx2 )
% 1.53/1.27 | ( G @ Xx4 @ Xx3 ) ) ) ) ).
% 1.53/1.27 ------------------------
% 1.53/1.28 % (27356)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_27030 for (3000ds/183Mi)
% 1.53/1.29 % (27357)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_27030 for (3000ds/4Mi)
% 1.53/1.29 % (27358)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_27030 for (3000ds/27Mi)
% 1.53/1.29 % (27359)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_27030 for (3000ds/2Mi)
% 1.53/1.29 % (27361)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_27030 for (3000ds/275Mi)
% 1.53/1.29 % (27360)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_27030 for (3000ds/2Mi)
% 1.53/1.29 % (27362)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_27030 for (3000ds/18Mi)
% 1.53/1.29 % (27359)Instruction limit reached!
% 1.53/1.29 % (27359)------------------------------
% 1.53/1.29 % (27359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.29 % (27359)Termination reason: Unknown
% 1.53/1.29 % (27359)Termination phase: Property scanning
% 1.53/1.29
% 1.53/1.29 % (27359)Memory used [KB]: 895
% 1.53/1.29 % (27359)Time elapsed: 0.003 s
% 1.53/1.29 % (27359)Instructions burned: 2 (million)
% 1.53/1.29 % (27359)------------------------------
% 1.53/1.29 % (27359)------------------------------
% 1.53/1.29 % (27360)Instruction limit reached!
% 1.53/1.29 % (27360)------------------------------
% 1.53/1.29 % (27360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.29 % (27360)Termination reason: Unknown
% 1.53/1.29 % (27360)Termination phase: shuffling
% 1.53/1.29
% 1.53/1.29 % (27360)Memory used [KB]: 1023
% 1.53/1.29 % (27360)Time elapsed: 0.003 s
% 1.53/1.29 % (27360)Instructions burned: 2 (million)
% 1.53/1.29 % (27360)------------------------------
% 1.53/1.29 % (27360)------------------------------
% 1.53/1.29 % (27357)Instruction limit reached!
% 1.53/1.29 % (27357)------------------------------
% 1.53/1.29 % (27357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.29 % (27357)Termination reason: Unknown
% 1.53/1.29 % (27357)Termination phase: Saturation
% 1.53/1.29
% 1.53/1.29 % (27357)Memory used [KB]: 5500
% 1.53/1.29 % (27357)Time elapsed: 0.005 s
% 1.53/1.29 % (27357)Instructions burned: 5 (million)
% 1.53/1.29 % (27357)------------------------------
% 1.53/1.29 % (27357)------------------------------
% 1.65/1.30 % (27358)Refutation not found, incomplete strategy
% 1.65/1.30 % (27358)------------------------------
% 1.65/1.30 % (27358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30 % (27358)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.30
% 1.65/1.30
% 1.65/1.30 % (27358)Memory used [KB]: 5628
% 1.65/1.30 % (27358)Time elapsed: 0.011 s
% 1.65/1.30 % (27358)Instructions burned: 14 (million)
% 1.65/1.30 % (27358)------------------------------
% 1.65/1.30 % (27358)------------------------------
% 1.65/1.30 % (27362)Instruction limit reached!
% 1.65/1.30 % (27362)------------------------------
% 1.65/1.30 % (27362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30 % (27362)Termination reason: Unknown
% 1.65/1.30 % (27362)Termination phase: Saturation
% 1.65/1.30
% 1.65/1.30 % (27362)Memory used [KB]: 5628
% 1.65/1.30 % (27362)Time elapsed: 0.013 s
% 1.65/1.30 % (27362)Instructions burned: 18 (million)
% 1.65/1.30 % (27362)------------------------------
% 1.65/1.30 % (27362)------------------------------
% 1.65/1.31 % (27363)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/3Mi)
% 1.65/1.31 % (27364)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_27030 for (2999ds/37Mi)
% 1.65/1.31 % (27365)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_27030 for (2999ds/15Mi)
% 1.65/1.31 % (27363)Instruction limit reached!
% 1.65/1.31 % (27363)------------------------------
% 1.65/1.31 % (27363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31 % (27363)Termination reason: Unknown
% 1.65/1.31 % (27363)Termination phase: Property scanning
% 1.65/1.31
% 1.65/1.31 % (27363)Memory used [KB]: 1023
% 1.65/1.31 % (27363)Time elapsed: 0.004 s
% 1.65/1.31 % (27363)Instructions burned: 4 (million)
% 1.65/1.31 % (27363)------------------------------
% 1.65/1.31 % (27363)------------------------------
% 1.65/1.32 % (27366)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_27030 for (2999ds/3Mi)
% 1.65/1.32 % (27367)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_27030 for (2999ds/1041Mi)
% 1.65/1.32 % (27366)Instruction limit reached!
% 1.65/1.32 % (27366)------------------------------
% 1.65/1.32 % (27366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32 % (27366)Termination reason: Unknown
% 1.65/1.32 % (27366)Termination phase: Property scanning
% 1.65/1.32
% 1.65/1.32 % (27366)Memory used [KB]: 1023
% 1.65/1.32 % (27366)Time elapsed: 0.004 s
% 1.65/1.32 % (27366)Instructions burned: 4 (million)
% 1.65/1.32 % (27366)------------------------------
% 1.65/1.32 % (27366)------------------------------
% 1.65/1.32 % (27365)Instruction limit reached!
% 1.65/1.32 % (27365)------------------------------
% 1.65/1.32 % (27365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32 % (27365)Termination reason: Unknown
% 1.65/1.32 % (27365)Termination phase: Saturation
% 1.65/1.32
% 1.65/1.32 % (27365)Memory used [KB]: 5628
% 1.65/1.32 % (27365)Time elapsed: 0.011 s
% 1.65/1.32 % (27365)Instructions burned: 15 (million)
% 1.65/1.32 % (27365)------------------------------
% 1.65/1.32 % (27365)------------------------------
% 1.65/1.32 % (27364)Instruction limit reached!
% 1.65/1.32 % (27364)------------------------------
% 1.65/1.32 % (27364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32 % (27364)Termination reason: Unknown
% 1.65/1.32 % (27364)Termination phase: Saturation
% 1.65/1.32
% 1.65/1.32 % (27364)Memory used [KB]: 5628
% 1.65/1.32 % (27364)Time elapsed: 0.018 s
% 1.65/1.32 % (27364)Instructions burned: 38 (million)
% 1.65/1.32 % (27364)------------------------------
% 1.65/1.32 % (27364)------------------------------
% 1.65/1.33 % (27361)Refutation not found, incomplete strategy
% 1.65/1.33 % (27361)------------------------------
% 1.65/1.33 % (27361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.33 % (27361)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.33
% 1.65/1.33
% 1.65/1.33 % (27361)Memory used [KB]: 5756
% 1.65/1.33 % (27361)Time elapsed: 0.038 s
% 1.65/1.33 % (27361)Instructions burned: 62 (million)
% 1.65/1.33 % (27361)------------------------------
% 1.65/1.33 % (27361)------------------------------
% 1.65/1.33 % (27368)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/7Mi)
% 1.65/1.33 % (27356)Instruction limit reached!
% 1.65/1.33 % (27356)------------------------------
% 1.65/1.33 % (27356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.33 % (27356)Termination reason: Unknown
% 1.65/1.33 % (27356)Termination phase: Saturation
% 1.65/1.33
% 1.65/1.33 % (27356)Memory used [KB]: 6908
% 1.65/1.33 % (27356)Time elapsed: 0.051 s
% 1.65/1.33 % (27356)Instructions burned: 184 (million)
% 1.65/1.33 % (27356)------------------------------
% 1.65/1.33 % (27356)------------------------------
% 1.65/1.33 % (27368)Instruction limit reached!
% 1.65/1.33 % (27368)------------------------------
% 1.65/1.33 % (27368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.33 % (27368)Termination reason: Unknown
% 1.65/1.33 % (27368)Termination phase: Saturation
% 1.65/1.33
% 1.65/1.33 % (27368)Memory used [KB]: 1023
% 1.65/1.33 % (27368)Time elapsed: 0.006 s
% 1.65/1.33 % (27368)Instructions burned: 7 (million)
% 1.65/1.33 % (27368)------------------------------
% 1.65/1.33 % (27368)------------------------------
% 1.65/1.33 % (27371)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_27030 for (2999ds/3Mi)
% 1.65/1.33 % (27369)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/16Mi)
% 1.65/1.34 % (27370)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_27030 for (2999ds/3Mi)
% 1.65/1.34 % (27371)Instruction limit reached!
% 1.65/1.34 % (27371)------------------------------
% 1.65/1.34 % (27371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (27371)Termination reason: Unknown
% 1.65/1.34 % (27371)Termination phase: Property scanning
% 1.65/1.34
% 1.65/1.34 % (27371)Memory used [KB]: 1023
% 1.65/1.34 % (27371)Time elapsed: 0.003 s
% 1.65/1.34 % (27371)Instructions burned: 4 (million)
% 1.65/1.34 % (27371)------------------------------
% 1.65/1.34 % (27371)------------------------------
% 1.65/1.34 % (27370)Instruction limit reached!
% 1.65/1.34 % (27370)------------------------------
% 1.65/1.34 % (27370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (27370)Termination reason: Unknown
% 1.65/1.34 % (27370)Termination phase: Property scanning
% 1.65/1.34
% 1.65/1.34 % (27370)Memory used [KB]: 1023
% 1.65/1.34 % (27370)Time elapsed: 0.004 s
% 1.65/1.34 % (27370)Instructions burned: 4 (million)
% 1.65/1.34 % (27370)------------------------------
% 1.65/1.34 % (27370)------------------------------
% 1.65/1.34 % (27373)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/3Mi)
% 1.65/1.34 % (27373)Instruction limit reached!
% 1.65/1.34 % (27373)------------------------------
% 1.65/1.34 % (27373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (27373)Termination reason: Unknown
% 1.65/1.34 % (27373)Termination phase: Saturation
% 1.65/1.34
% 1.65/1.34 % (27373)Memory used [KB]: 5500
% 1.65/1.34 % (27373)Time elapsed: 0.003 s
% 1.65/1.34 % (27373)Instructions burned: 5 (million)
% 1.65/1.34 % (27373)------------------------------
% 1.65/1.34 % (27373)------------------------------
% 1.65/1.34 % (27372)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/7Mi)
% 1.65/1.34 % (27369)Instruction limit reached!
% 1.65/1.34 % (27369)------------------------------
% 1.65/1.34 % (27369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34 % (27369)Termination reason: Unknown
% 1.65/1.34 % (27369)Termination phase: Saturation
% 1.65/1.34
% 1.65/1.34 % (27369)Memory used [KB]: 5628
% 1.65/1.34 % (27369)Time elapsed: 0.011 s
% 1.65/1.34 % (27369)Instructions burned: 16 (million)
% 1.65/1.34 % (27369)------------------------------
% 1.65/1.34 % (27369)------------------------------
% 1.65/1.35 % (27375)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/18Mi)
% 1.65/1.35 % (27372)Instruction limit reached!
% 1.65/1.35 % (27372)------------------------------
% 1.65/1.35 % (27372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35 % (27372)Termination reason: Unknown
% 1.65/1.35 % (27372)Termination phase: Saturation
% 1.65/1.35
% 1.65/1.35 % (27372)Memory used [KB]: 5500
% 1.65/1.35 % (27372)Time elapsed: 0.006 s
% 1.65/1.35 % (27372)Instructions burned: 7 (million)
% 1.65/1.35 % (27372)------------------------------
% 1.65/1.35 % (27372)------------------------------
% 1.65/1.35 % (27374)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/4Mi)
% 1.65/1.35 % (27374)Instruction limit reached!
% 1.65/1.35 % (27374)------------------------------
% 1.65/1.35 % (27374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35 % (27374)Termination reason: Unknown
% 1.65/1.35 % (27374)Termination phase: Property scanning
% 1.65/1.35
% 1.65/1.35 % (27374)Memory used [KB]: 1023
% 1.65/1.35 % (27374)Time elapsed: 0.004 s
% 1.65/1.35 % (27374)Instructions burned: 4 (million)
% 1.65/1.35 % (27374)------------------------------
% 1.65/1.35 % (27374)------------------------------
% 1.65/1.35 % (27375)Refutation not found, incomplete strategy
% 1.65/1.35 % (27375)------------------------------
% 1.65/1.35 % (27375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35 % (27375)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.35
% 1.65/1.35
% 1.65/1.35 % (27375)Memory used [KB]: 5628
% 1.65/1.35 % (27375)Time elapsed: 0.007 s
% 1.65/1.35 % (27375)Instructions burned: 16 (million)
% 1.65/1.35 % (27375)------------------------------
% 1.65/1.35 % (27375)------------------------------
% 1.65/1.35 % (27376)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/710Mi)
% 1.65/1.35 % (27377)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/6Mi)
% 1.65/1.36 % (27377)Instruction limit reached!
% 1.65/1.36 % (27377)------------------------------
% 1.65/1.36 % (27377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36 % (27377)Termination reason: Unknown
% 1.65/1.36 % (27377)Termination phase: Saturation
% 1.65/1.36
% 1.65/1.36 % (27377)Memory used [KB]: 5500
% 1.65/1.36 % (27377)Time elapsed: 0.004 s
% 1.65/1.36 % (27377)Instructions burned: 8 (million)
% 1.65/1.36 % (27377)------------------------------
% 1.65/1.36 % (27377)------------------------------
% 1.65/1.36 % (27381)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_27030 for (2999ds/6Mi)
% 1.65/1.36 % (27378)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_27030 for (2999ds/902Mi)
% 1.65/1.36 % (27381)Instruction limit reached!
% 1.65/1.36 % (27381)------------------------------
% 1.65/1.36 % (27381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36 % (27381)Termination reason: Unknown
% 1.65/1.36 % (27381)Termination phase: Saturation
% 1.65/1.36
% 1.65/1.36 % (27381)Memory used [KB]: 5500
% 1.65/1.36 % (27381)Time elapsed: 0.004 s
% 1.65/1.36 % (27381)Instructions burned: 9 (million)
% 1.65/1.36 % (27381)------------------------------
% 1.65/1.36 % (27381)------------------------------
% 1.65/1.36 % (27379)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_27030 for (2999ds/21Mi)
% 1.65/1.37 % (27382)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/377Mi)
% 1.65/1.37 % (27380)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/5Mi)
% 1.65/1.37 % (27380)Instruction limit reached!
% 1.65/1.37 % (27380)------------------------------
% 1.65/1.37 % (27380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.37 % (27380)Termination reason: Unknown
% 1.65/1.37 % (27380)Termination phase: Saturation
% 1.65/1.37
% 1.65/1.37 % (27380)Memory used [KB]: 5500
% 1.65/1.37 % (27380)Time elapsed: 0.005 s
% 1.65/1.37 % (27380)Instructions burned: 6 (million)
% 1.65/1.37 % (27380)------------------------------
% 1.65/1.37 % (27380)------------------------------
% 1.65/1.37 % (27383)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_27030 for (2999ds/779Mi)
% 1.65/1.38 % (27379)Instruction limit reached!
% 1.65/1.38 % (27379)------------------------------
% 1.65/1.38 % (27379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.38 % (27379)Termination reason: Unknown
% 1.65/1.38 % (27379)Termination phase: Saturation
% 1.65/1.38
% 1.65/1.38 % (27379)Memory used [KB]: 5628
% 1.65/1.38 % (27379)Time elapsed: 0.014 s
% 1.65/1.38 % (27379)Instructions burned: 21 (million)
% 1.65/1.38 % (27379)------------------------------
% 1.65/1.38 % (27379)------------------------------
% 1.65/1.39 % (27384)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_27030 for (2999ds/19Mi)
% 1.65/1.39 % (27385)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_27030 for (2999ds/879Mi)
% 1.65/1.40 % (27384)Instruction limit reached!
% 1.65/1.40 % (27384)------------------------------
% 1.65/1.40 % (27384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.40 % (27384)Termination reason: Unknown
% 1.65/1.40 % (27384)Termination phase: Saturation
% 1.65/1.40
% 1.65/1.40 % (27384)Memory used [KB]: 5500
% 1.65/1.40 % (27384)Time elapsed: 0.011 s
% 1.65/1.40 % (27384)Instructions burned: 19 (million)
% 1.65/1.40 % (27384)------------------------------
% 1.65/1.40 % (27384)------------------------------
% 1.65/1.41 % (27386)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_27030 for (2998ds/17Mi)
% 1.65/1.42 % (27386)Instruction limit reached!
% 1.65/1.42 % (27386)------------------------------
% 1.65/1.42 % (27386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42 % (27386)Termination reason: Unknown
% 1.65/1.42 % (27386)Termination phase: Saturation
% 1.65/1.42
% 1.65/1.42 % (27386)Memory used [KB]: 5628
% 1.65/1.42 % (27386)Time elapsed: 0.010 s
% 1.65/1.42 % (27386)Instructions burned: 17 (million)
% 1.65/1.42 % (27386)------------------------------
% 1.65/1.42 % (27386)------------------------------
% 1.65/1.43 % (27387)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_27030 for (2998ds/3Mi)
% 1.65/1.43 % (27387)Instruction limit reached!
% 1.65/1.43 % (27387)------------------------------
% 1.65/1.43 % (27387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.43 % (27387)Termination reason: Unknown
% 1.65/1.43 % (27387)Termination phase: Preprocessing 3
% 1.65/1.43
% 1.65/1.43 % (27387)Memory used [KB]: 1023
% 1.65/1.43 % (27387)Time elapsed: 0.002 s
% 1.65/1.43 % (27387)Instructions burned: 3 (million)
% 1.65/1.43 % (27387)------------------------------
% 1.65/1.43 % (27387)------------------------------
% 1.65/1.44 % (27388)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_27030 for (2998ds/30Mi)
% 1.65/1.45 % (27388)Instruction limit reached!
% 1.65/1.45 % (27388)------------------------------
% 1.65/1.45 % (27388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45 % (27388)Termination reason: Unknown
% 1.65/1.45 % (27388)Termination phase: Saturation
% 1.65/1.45
% 1.65/1.45 % (27388)Memory used [KB]: 5756
% 1.65/1.45 % (27388)Time elapsed: 0.012 s
% 1.65/1.45 % (27388)Instructions burned: 32 (million)
% 1.65/1.45 % (27388)------------------------------
% 1.65/1.45 % (27388)------------------------------
% 1.65/1.46 % (27389)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_27030 for (2998ds/127Mi)
% 1.65/1.46 % (27385)Refutation not found, incomplete strategy
% 1.65/1.46 % (27385)------------------------------
% 1.65/1.46 % (27385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.46 % (27385)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.46
% 1.65/1.46
% 1.65/1.46 % (27385)Memory used [KB]: 6268
% 1.65/1.46 % (27385)Time elapsed: 0.072 s
% 1.65/1.46 % (27385)Instructions burned: 174 (million)
% 1.65/1.46 % (27385)------------------------------
% 1.65/1.46 % (27385)------------------------------
% 1.65/1.47 % (27390)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_27030 for (2998ds/100Mi)
% 1.65/1.48 % (27382)Instruction limit reached!
% 1.65/1.48 % (27382)------------------------------
% 1.65/1.48 % (27382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.48 % (27382)Termination reason: Unknown
% 1.65/1.48 % (27382)Termination phase: Saturation
% 1.65/1.48
% 1.65/1.48 % (27382)Memory used [KB]: 5884
% 1.65/1.48 % (27382)Time elapsed: 0.113 s
% 1.65/1.48 % (27382)Instructions burned: 380 (million)
% 1.65/1.48 % (27382)------------------------------
% 1.65/1.48 % (27382)------------------------------
% 1.65/1.48 % (27390)Refutation not found, incomplete strategy
% 1.65/1.48 % (27390)------------------------------
% 1.65/1.48 % (27390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.48 % (27390)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.48
% 1.65/1.48
% 1.65/1.48 % (27390)Memory used [KB]: 5628
% 1.65/1.48 % (27390)Time elapsed: 0.007 s
% 1.65/1.48 % (27390)Instructions burned: 16 (million)
% 1.65/1.48 % (27390)------------------------------
% 1.65/1.48 % (27390)------------------------------
% 1.65/1.49 % (27391)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_27030 for (2998ds/3Mi)
% 1.65/1.49 % (27391)Instruction limit reached!
% 1.65/1.49 % (27391)------------------------------
% 1.65/1.49 % (27391)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.49 % (27391)Termination reason: Unknown
% 1.65/1.49 % (27391)Termination phase: Saturation
% 1.65/1.49
% 1.65/1.49 % (27391)Memory used [KB]: 5500
% 1.65/1.49 % (27391)Time elapsed: 0.003 s
% 1.65/1.49 % (27391)Instructions burned: 5 (million)
% 1.65/1.49 % (27391)------------------------------
% 1.65/1.49 % (27391)------------------------------
% 1.65/1.49 % (27392)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_27030 for (2998ds/20Mi)
% 1.65/1.50 % (27392)Instruction limit reached!
% 1.65/1.50 % (27392)------------------------------
% 1.65/1.50 % (27392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.50 % (27392)Termination reason: Unknown
% 1.65/1.50 % (27392)Termination phase: Saturation
% 1.65/1.50
% 1.65/1.50 % (27392)Memory used [KB]: 5628
% 1.65/1.50 % (27392)Time elapsed: 0.030 s
% 1.65/1.50 % (27392)Instructions burned: 22 (million)
% 1.65/1.50 % (27392)------------------------------
% 1.65/1.50 % (27392)------------------------------
% 1.65/1.50 % (27393)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_27030 for (2997ds/86Mi)
% 1.65/1.50 % (27389)Instruction limit reached!
% 1.65/1.50 % (27389)------------------------------
% 1.65/1.50 % (27389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.50 % (27389)Termination reason: Unknown
% 1.65/1.50 % (27389)Termination phase: Saturation
% 1.65/1.50
% 1.65/1.50 % (27389)Memory used [KB]: 6140
% 1.65/1.50 % (27389)Time elapsed: 0.042 s
% 1.65/1.50 % (27389)Instructions burned: 127 (million)
% 1.65/1.50 % (27389)------------------------------
% 1.65/1.50 % (27389)------------------------------
% 1.65/1.51 % (27394)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_27030 for (2997ds/107Mi)
% 1.65/1.51 % (27394)Refutation not found, incomplete strategy
% 1.65/1.51 % (27394)------------------------------
% 1.65/1.51 % (27394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.51 % (27394)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.51
% 1.65/1.51
% 1.65/1.51 % (27394)Memory used [KB]: 5628
% 1.65/1.51 % (27394)Time elapsed: 0.005 s
% 1.65/1.51 % (27394)Instructions burned: 10 (million)
% 1.65/1.51 % (27394)------------------------------
% 1.65/1.51 % (27394)------------------------------
% 1.65/1.51 % (27395)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_27030 for (2997ds/39Mi)
% 1.65/1.52 % (27396)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_27030 for (2997ds/448Mi)
% 1.65/1.52 % (27395)Instruction limit reached!
% 1.65/1.52 % (27395)------------------------------
% 1.65/1.52 % (27395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.52 % (27395)Termination reason: Unknown
% 1.65/1.52 % (27395)Termination phase: Saturation
% 1.65/1.52
% 1.65/1.52 % (27395)Memory used [KB]: 5628
% 1.65/1.52 % (27395)Time elapsed: 0.013 s
% 1.65/1.52 % (27395)Instructions burned: 40 (million)
% 1.65/1.52 % (27395)------------------------------
% 1.65/1.52 % (27395)------------------------------
% 1.65/1.53 % (27393)Instruction limit reached!
% 1.65/1.53 % (27393)------------------------------
% 1.65/1.53 % (27393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.53 % (27393)Termination reason: Unknown
% 1.65/1.53 % (27393)Termination phase: Saturation
% 1.65/1.53
% 1.65/1.53 % (27393)Memory used [KB]: 5884
% 1.65/1.53 % (27393)Time elapsed: 0.050 s
% 1.65/1.53 % (27393)Instructions burned: 88 (million)
% 1.65/1.53 % (27393)------------------------------
% 1.65/1.53 % (27393)------------------------------
% 1.65/1.53 % (27397)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_27030 for (2997ds/46Mi)
% 1.65/1.54 % (27398)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_27030 for (2997ds/98Mi)
% 1.65/1.55 % (27397)Instruction limit reached!
% 1.65/1.55 % (27397)------------------------------
% 1.65/1.55 % (27397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.55 % (27397)Termination reason: Unknown
% 1.65/1.55 % (27397)Termination phase: Saturation
% 1.65/1.55
% 1.65/1.55 % (27397)Memory used [KB]: 5756
% 1.65/1.55 % (27397)Time elapsed: 0.041 s
% 1.65/1.55 % (27397)Instructions burned: 47 (million)
% 1.65/1.55 % (27397)------------------------------
% 1.65/1.55 % (27397)------------------------------
% 1.65/1.56 % (27399)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_27030 for (2997ds/507Mi)
% 1.65/1.57 % (27398)Instruction limit reached!
% 1.65/1.57 % (27398)------------------------------
% 1.65/1.57 % (27398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.57 % (27398)Termination reason: Unknown
% 1.65/1.57 % (27398)Termination phase: Saturation
% 1.65/1.57
% 1.65/1.57 % (27398)Memory used [KB]: 1535
% 1.65/1.57 % (27398)Time elapsed: 0.031 s
% 1.65/1.57 % (27398)Instructions burned: 99 (million)
% 1.65/1.57 % (27398)------------------------------
% 1.65/1.57 % (27398)------------------------------
% 1.65/1.57 % (27376)Instruction limit reached!
% 1.65/1.57 % (27376)------------------------------
% 1.65/1.57 % (27376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.57 % (27376)Termination reason: Unknown
% 1.65/1.57 % (27376)Termination phase: Saturation
% 1.65/1.57
% 1.65/1.57 % (27376)Memory used [KB]: 7291
% 1.65/1.57 % (27376)Time elapsed: 0.217 s
% 1.65/1.57 % (27376)Instructions burned: 712 (million)
% 1.65/1.57 % (27376)------------------------------
% 1.65/1.57 % (27376)------------------------------
% 1.65/1.58 % (27400)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_27030 for (2997ds/149Mi)
% 1.65/1.58 % (27401)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_27030 for (2996ds/39Mi)
% 1.65/1.59 % (27401)Instruction limit reached!
% 1.65/1.59 % (27401)------------------------------
% 1.65/1.59 % (27401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.59 % (27401)Termination reason: Unknown
% 1.65/1.59 % (27401)Termination phase: Saturation
% 1.65/1.59
% 1.65/1.59 % (27401)Memory used [KB]: 5628
% 1.65/1.59 % (27401)Time elapsed: 0.015 s
% 1.65/1.59 % (27401)Instructions burned: 41 (million)
% 1.65/1.59 % (27401)------------------------------
% 1.65/1.59 % (27401)------------------------------
% 1.65/1.60 % (27402)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_27030 for (2996ds/6Mi)
% 1.65/1.60 % (27383)Instruction limit reached!
% 1.65/1.60 % (27383)------------------------------
% 1.65/1.60 % (27383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.60 % (27383)Termination reason: Unknown
% 1.65/1.60 % (27383)Termination phase: Saturation
% 1.65/1.60
% 1.65/1.60 % (27383)Memory used [KB]: 6396
% 1.65/1.60 % (27383)Time elapsed: 0.230 s
% 1.65/1.60 % (27383)Instructions burned: 781 (million)
% 1.65/1.60 % (27383)------------------------------
% 1.65/1.60 % (27383)------------------------------
% 1.65/1.60 % (27402)Instruction limit reached!
% 1.65/1.60 % (27402)------------------------------
% 1.65/1.60 % (27402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.60 % (27402)Termination reason: Unknown
% 1.65/1.60 % (27402)Termination phase: Saturation
% 1.65/1.60
% 1.65/1.60 % (27402)Memory used [KB]: 9978
% 1.65/1.60 % (27402)Time elapsed: 0.004 s
% 1.65/1.60 % (27402)Instructions burned: 6 (million)
% 1.65/1.60 % (27402)------------------------------
% 1.65/1.60 % (27402)------------------------------
% 1.65/1.61 % (27403)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_27030 for (2996ds/1087Mi)
% 1.65/1.61 % (27404)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_27030 for (2996ds/47Mi)
% 1.65/1.62 % (27400)Instruction limit reached!
% 1.65/1.62 % (27400)------------------------------
% 1.65/1.62 % (27400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.62 % (27400)Termination reason: Unknown
% 1.65/1.62 % (27400)Termination phase: Saturation
% 1.65/1.62
% 1.65/1.62 % (27400)Memory used [KB]: 5756
% 1.65/1.62 % (27400)Time elapsed: 0.047 s
% 1.65/1.62 % (27400)Instructions burned: 152 (million)
% 1.65/1.62 % (27400)------------------------------
% 1.65/1.62 % (27400)------------------------------
% 1.65/1.63 % (27404)Instruction limit reached!
% 1.65/1.63 % (27404)------------------------------
% 1.65/1.63 % (27404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.63 % (27404)Termination reason: Unknown
% 1.65/1.63 % (27404)Termination phase: Saturation
% 1.65/1.63
% 1.65/1.63 % (27404)Memory used [KB]: 5756
% 1.65/1.63 % (27404)Time elapsed: 0.017 s
% 1.65/1.63 % (27404)Instructions burned: 48 (million)
% 1.65/1.63 % (27404)------------------------------
% 1.65/1.63 % (27404)------------------------------
% 1.65/1.63 % (27405)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_27030 for (2996ds/44Mi)
% 1.65/1.64 % (27406)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_27030 for (2996ds/432Mi)
% 1.65/1.64 % (27405)Instruction limit reached!
% 1.65/1.64 % (27405)------------------------------
% 1.65/1.64 % (27405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.64 % (27405)Termination reason: Unknown
% 1.65/1.64 % (27405)Termination phase: Saturation
% 1.65/1.64
% 1.65/1.64 % (27405)Memory used [KB]: 1407
% 1.65/1.64 % (27405)Time elapsed: 0.013 s
% 1.65/1.64 % (27405)Instructions burned: 46 (million)
% 1.65/1.64 % (27405)------------------------------
% 1.65/1.64 % (27405)------------------------------
% 1.65/1.65 % (27407)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_27030 for (2996ds/62Mi)
% 1.65/1.66 % (27367)Instruction limit reached!
% 1.65/1.66 % (27367)------------------------------
% 1.65/1.66 % (27367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.66 % (27367)Termination reason: Unknown
% 1.65/1.66 % (27367)Termination phase: Saturation
% 1.65/1.66
% 1.65/1.66 % (27367)Memory used [KB]: 6908
% 1.65/1.66 % (27367)Time elapsed: 0.340 s
% 1.65/1.66 % (27367)Instructions burned: 1042 (million)
% 1.65/1.66 % (27367)------------------------------
% 1.65/1.66 % (27367)------------------------------
% 1.65/1.66 % (27396)Instruction limit reached!
% 1.65/1.66 % (27396)------------------------------
% 1.65/1.66 % (27396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.66 % (27396)Termination reason: Unknown
% 1.65/1.66 % (27396)Termination phase: Saturation
% 1.65/1.66
% 1.65/1.66 % (27396)Memory used [KB]: 6524
% 1.65/1.66 % (27396)Time elapsed: 0.158 s
% 1.65/1.66 % (27396)Instructions burned: 448 (million)
% 1.65/1.66 % (27396)------------------------------
% 1.65/1.66 % (27396)------------------------------
% 1.65/1.66 % (27378)Instruction limit reached!
% 1.65/1.66 % (27378)------------------------------
% 1.65/1.66 % (27378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.66 % (27378)Termination reason: Unknown
% 1.65/1.66 % (27378)Termination phase: Saturation
% 1.65/1.66
% 1.65/1.66 % (27378)Memory used [KB]: 6268
% 1.65/1.66 % (27378)Time elapsed: 0.297 s
% 1.65/1.66 % (27378)Instructions burned: 902 (million)
% 1.65/1.66 % (27378)------------------------------
% 1.65/1.66 % (27378)------------------------------
% 1.65/1.67 % (27408)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_27030 for (2996ds/31Mi)
% 1.65/1.67 % (27409)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_27030 for (2996ds/96Mi)
% 1.65/1.67 % (27410)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_27030 for (2996ds/453Mi)
% 1.65/1.67 % (27407)Instruction limit reached!
% 1.65/1.67 % (27407)------------------------------
% 1.65/1.67 % (27407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.67 % (27407)Termination reason: Unknown
% 1.65/1.67 % (27407)Termination phase: Saturation
% 1.65/1.67
% 1.65/1.67 % (27407)Memory used [KB]: 5628
% 1.65/1.67 % (27407)Time elapsed: 0.018 s
% 1.65/1.67 % (27407)Instructions burned: 64 (million)
% 1.65/1.67 % (27407)------------------------------
% 1.65/1.67 % (27407)------------------------------
% 1.65/1.68 % (27408)Instruction limit reached!
% 1.65/1.68 % (27408)------------------------------
% 1.65/1.68 % (27408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.68 % (27408)Termination reason: Unknown
% 1.65/1.68 % (27408)Termination phase: Saturation
% 1.65/1.68
% 1.65/1.68 % (27408)Memory used [KB]: 5756
% 1.65/1.68 % (27408)Time elapsed: 0.012 s
% 1.65/1.68 % (27408)Instructions burned: 31 (million)
% 1.65/1.68 % (27408)------------------------------
% 1.65/1.68 % (27408)------------------------------
% 1.65/1.68 % (27411)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_27030 for (2996ds/71Mi)
% 1.65/1.68 % (27403)Refutation not found, incomplete strategy
% 1.65/1.68 % (27403)------------------------------
% 1.65/1.68 % (27403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.68 % (27403)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.68
% 1.65/1.68
% 1.65/1.68 % (27403)Memory used [KB]: 6268
% 1.65/1.68 % (27403)Time elapsed: 0.070 s
% 1.65/1.68 % (27403)Instructions burned: 204 (million)
% 1.65/1.68 % (27403)------------------------------
% 1.65/1.68 % (27403)------------------------------
% 1.65/1.69 % (27412)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_27030 for (2995ds/83Mi)
% 1.65/1.69 % (27413)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_27030 for (2995ds/11Mi)
% 1.65/1.69 % (27413)Instruction limit reached!
% 1.65/1.69 % (27413)------------------------------
% 1.65/1.69 % (27413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.69 % (27413)Termination reason: Unknown
% 1.65/1.69 % (27413)Termination phase: Saturation
% 1.65/1.69
% 1.65/1.69 % (27413)Memory used [KB]: 5500
% 1.65/1.69 % (27413)Time elapsed: 0.005 s
% 1.65/1.69 % (27413)Instructions burned: 11 (million)
% 1.65/1.69 % (27413)------------------------------
% 1.65/1.69 % (27413)------------------------------
% 1.65/1.70 % (27409)Instruction limit reached!
% 1.65/1.70 % (27409)------------------------------
% 1.65/1.70 % (27409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.70 % (27409)Termination reason: Unknown
% 1.65/1.70 % (27409)Termination phase: Saturation
% 1.65/1.70
% 1.65/1.70 % (27409)Memory used [KB]: 5884
% 1.65/1.70 % (27409)Time elapsed: 0.032 s
% 1.65/1.70 % (27409)Instructions burned: 97 (million)
% 1.65/1.70 % (27409)------------------------------
% 1.65/1.70 % (27409)------------------------------
% 1.65/1.70 % (27411)Instruction limit reached!
% 1.65/1.70 % (27411)------------------------------
% 1.65/1.70 % (27411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.70 % (27411)Termination reason: Unknown
% 1.65/1.70 % (27411)Termination phase: Saturation
% 1.65/1.70
% 1.65/1.70 % (27411)Memory used [KB]: 5756
% 1.65/1.70 % (27411)Time elapsed: 0.022 s
% 1.65/1.70 % (27411)Instructions burned: 71 (million)
% 1.65/1.70 % (27411)------------------------------
% 1.65/1.70 % (27411)------------------------------
% 1.65/1.70 % (27414)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_27030 for (2995ds/41Mi)
% 1.65/1.71 % (27415)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_27030 for (2995ds/6Mi)
% 1.65/1.71 % (27416)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_27030 for (2995ds/150Mi)
% 1.65/1.71 % (27415)Instruction limit reached!
% 1.65/1.71 % (27415)------------------------------
% 1.65/1.71 % (27415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.71 % (27415)Termination reason: Unknown
% 1.65/1.71 % (27415)Termination phase: Saturation
% 1.65/1.71
% 1.65/1.71 % (27415)Memory used [KB]: 5500
% 1.65/1.71 % (27415)Time elapsed: 0.004 s
% 1.65/1.71 % (27415)Instructions burned: 7 (million)
% 1.65/1.71 % (27415)------------------------------
% 1.65/1.71 % (27415)------------------------------
% 1.65/1.71 % (27412)Instruction limit reached!
% 1.65/1.71 % (27412)------------------------------
% 1.65/1.71 % (27412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.71 % (27412)Termination reason: Unknown
% 1.65/1.71 % (27412)Termination phase: Saturation
% 1.65/1.71
% 1.65/1.71 % (27412)Memory used [KB]: 5884
% 1.65/1.71 % (27412)Time elapsed: 0.027 s
% 1.65/1.71 % (27412)Instructions burned: 83 (million)
% 1.65/1.71 % (27412)------------------------------
% 1.65/1.71 % (27412)------------------------------
% 1.65/1.72 % (27414)Instruction limit reached!
% 1.65/1.72 % (27414)------------------------------
% 1.65/1.72 % (27414)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.72 % (27414)Termination reason: Unknown
% 1.65/1.72 % (27414)Termination phase: Saturation
% 1.65/1.72
% 1.65/1.72 % (27414)Memory used [KB]: 5756
% 1.65/1.72 % (27414)Time elapsed: 0.013 s
% 1.65/1.72 % (27414)Instructions burned: 42 (million)
% 1.65/1.72 % (27414)------------------------------
% 1.65/1.72 % (27414)------------------------------
% 1.65/1.72 % (27399)Instruction limit reached!
% 1.65/1.72 % (27399)------------------------------
% 1.65/1.72 % (27399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.72 % (27399)Termination reason: Unknown
% 1.65/1.72 % (27399)Termination phase: Saturation
% 1.65/1.72
% 1.65/1.72 % (27399)Memory used [KB]: 6268
% 1.65/1.72 % (27399)Time elapsed: 0.159 s
% 1.65/1.72 % (27399)Instructions burned: 509 (million)
% 1.65/1.72 % (27399)------------------------------
% 1.65/1.72 % (27399)------------------------------
% 1.65/1.72 % (27417)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_27030 for (2995ds/343Mi)
% 1.65/1.72 % (27418)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_27030 for (2995ds/109Mi)
% 1.65/1.73 % (27419)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_27030 for (2995ds/253Mi)
% 1.65/1.73 % (27420)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_27030 for (2995ds/140Mi)
% 1.65/1.75 % (27416)Instruction limit reached!
% 1.65/1.75 % (27416)------------------------------
% 1.65/1.75 % (27416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.75 % (27416)Termination reason: Unknown
% 1.65/1.75 % (27416)Termination phase: Saturation
% 1.65/1.75
% 1.65/1.75 % (27416)Memory used [KB]: 6140
% 1.65/1.75 % (27416)Time elapsed: 0.044 s
% 1.65/1.75 % (27416)Instructions burned: 150 (million)
% 1.65/1.75 % (27416)------------------------------
% 1.65/1.75 % (27416)------------------------------
% 1.65/1.75 % (27420)Refutation not found, incomplete strategy
% 1.65/1.75 % (27420)------------------------------
% 1.65/1.75 % (27420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.75 % (27420)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.75
% 1.65/1.75
% 1.65/1.75 % (27420)Memory used [KB]: 5884
% 1.65/1.75 % (27420)Time elapsed: 0.025 s
% 1.65/1.75 % (27420)Instructions burned: 71 (million)
% 1.65/1.75 % (27420)------------------------------
% 1.65/1.75 % (27420)------------------------------
% 1.65/1.75 % (27418)Instruction limit reached!
% 1.65/1.75 % (27418)------------------------------
% 1.65/1.75 % (27418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.75 % (27418)Termination reason: Unknown
% 1.65/1.75 % (27418)Termination phase: Saturation
% 1.65/1.75
% 1.65/1.75 % (27418)Memory used [KB]: 6012
% 1.65/1.75 % (27418)Time elapsed: 0.035 s
% 1.65/1.75 % (27418)Instructions burned: 111 (million)
% 1.65/1.75 % (27418)------------------------------
% 1.65/1.75 % (27418)------------------------------
% 1.65/1.76 % (27421)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_27030 for (2995ds/614Mi)
% 1.65/1.76 % (27406)Instruction limit reached!
% 1.65/1.76 % (27406)------------------------------
% 1.65/1.76 % (27406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.76 % (27406)Termination reason: Unknown
% 1.65/1.76 % (27406)Termination phase: Saturation
% 1.65/1.76
% 1.65/1.76 % (27406)Memory used [KB]: 6140
% 1.65/1.76 % (27406)Time elapsed: 0.123 s
% 1.65/1.76 % (27406)Instructions burned: 435 (million)
% 1.65/1.76 % (27406)------------------------------
% 1.65/1.76 % (27406)------------------------------
% 1.65/1.76 % (27422)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_27030 for (2995ds/202Mi)
% 1.65/1.76 % (27423)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_27030 for (2995ds/339Mi)
% 1.65/1.77 % (27424)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_27030 for (2995ds/283Mi)
% 1.65/1.78 % (27417)Refutation not found, incomplete strategy
% 1.65/1.78 % (27417)------------------------------
% 1.65/1.78 % (27417)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.78 % (27417)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.78
% 1.65/1.78
% 1.65/1.78 % (27417)Memory used [KB]: 6268
% 1.65/1.78 % (27417)Time elapsed: 0.058 s
% 1.65/1.78 % (27417)Instructions burned: 169 (million)
% 1.65/1.78 % (27417)------------------------------
% 1.65/1.78 % (27417)------------------------------
% 1.65/1.79 % (27425)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_27030 for (2995ds/134Mi)
% 1.65/1.80 % (27410)Instruction limit reached!
% 1.65/1.80 % (27410)------------------------------
% 1.65/1.80 % (27410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.80 % (27410)Termination reason: Unknown
% 1.65/1.80 % (27410)Termination phase: Saturation
% 1.65/1.80
% 1.65/1.80 % (27410)Memory used [KB]: 6140
% 1.65/1.80 % (27410)Time elapsed: 0.135 s
% 1.65/1.80 % (27410)Instructions burned: 453 (million)
% 1.65/1.80 % (27410)------------------------------
% 1.65/1.80 % (27410)------------------------------
% 1.65/1.80 % (27419)Instruction limit reached!
% 1.65/1.80 % (27419)------------------------------
% 1.65/1.80 % (27419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.80 % (27419)Termination reason: Unknown
% 1.65/1.80 % (27419)Termination phase: Saturation
% 1.65/1.80
% 1.65/1.80 % (27419)Memory used [KB]: 6396
% 1.65/1.80 % (27419)Time elapsed: 0.079 s
% 1.65/1.80 % (27419)Instructions burned: 253 (million)
% 1.65/1.80 % (27419)------------------------------
% 1.65/1.80 % (27419)------------------------------
% 1.65/1.81 % (27426)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_27030 for (2994ds/298Mi)
% 1.65/1.81 % (27427)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_27030 for (2994ds/192Mi)
% 1.65/1.82 % (27422)Instruction limit reached!
% 1.65/1.82 % (27422)------------------------------
% 1.65/1.82 % (27422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.82 % (27422)Termination reason: Unknown
% 1.65/1.82 % (27422)Termination phase: Saturation
% 1.65/1.82
% 1.65/1.82 % (27422)Memory used [KB]: 6268
% 1.65/1.82 % (27422)Time elapsed: 0.062 s
% 1.65/1.82 % (27422)Instructions burned: 203 (million)
% 1.65/1.82 % (27422)------------------------------
% 1.65/1.82 % (27422)------------------------------
% 1.65/1.82 % (27425)Instruction limit reached!
% 1.65/1.82 % (27425)------------------------------
% 1.65/1.82 % (27425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.82 % (27425)Termination reason: Unknown
% 1.65/1.82 % (27425)Termination phase: Saturation
% 1.65/1.82
% 1.65/1.82 % (27425)Memory used [KB]: 7547
% 1.65/1.82 % (27425)Time elapsed: 0.039 s
% 1.65/1.82 % (27425)Instructions burned: 134 (million)
% 1.65/1.82 % (27425)------------------------------
% 1.65/1.82 % (27425)------------------------------
% 1.65/1.83 % (27428)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_27030 for (2994ds/258Mi)
% 1.65/1.83 % (27429)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_27030 for (2994ds/90Mi)
% 1.65/1.85 % (27424)Instruction limit reached!
% 1.65/1.85 % (27424)------------------------------
% 1.65/1.85 % (27424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.85 % (27424)Termination reason: Unknown
% 1.65/1.85 % (27424)Termination phase: Saturation
% 1.65/1.85
% 1.65/1.85 % (27424)Memory used [KB]: 6780
% 1.65/1.85 % (27424)Time elapsed: 0.077 s
% 1.65/1.85 % (27424)Instructions burned: 285 (million)
% 1.65/1.85 % (27424)------------------------------
% 1.65/1.85 % (27424)------------------------------
% 1.65/1.86 % (27430)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_27030 for (2994ds/231Mi)
% 1.65/1.86 % (27429)Instruction limit reached!
% 1.65/1.86 % (27429)------------------------------
% 1.65/1.86 % (27429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.86 % (27429)Termination reason: Unknown
% 1.65/1.86 % (27429)Termination phase: Saturation
% 1.65/1.86
% 1.65/1.86 % (27429)Memory used [KB]: 5756
% 1.65/1.86 % (27429)Time elapsed: 0.027 s
% 1.65/1.86 % (27429)Instructions burned: 90 (million)
% 1.65/1.86 % (27429)------------------------------
% 1.65/1.86 % (27429)------------------------------
% 1.65/1.86 % (27421)Refutation not found, incomplete strategy
% 1.65/1.86 % (27421)------------------------------
% 1.65/1.86 % (27421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.86 % (27421)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.86
% 1.65/1.86
% 1.65/1.86 % (27421)Memory used [KB]: 6780
% 1.65/1.86 % (27421)Time elapsed: 0.100 s
% 1.65/1.86 % (27421)Instructions burned: 328 (million)
% 1.65/1.86 % (27421)------------------------------
% 1.65/1.86 % (27421)------------------------------
% 1.65/1.87 % (27427)Instruction limit reached!
% 1.65/1.87 % (27427)------------------------------
% 1.65/1.87 % (27427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.87 % (27427)Termination reason: Unknown
% 1.65/1.87 % (27427)Termination phase: Saturation
% 1.65/1.87
% 1.65/1.87 % (27427)Memory used [KB]: 6268
% 1.65/1.87 % (27427)Time elapsed: 0.055 s
% 1.65/1.87 % (27427)Instructions burned: 193 (million)
% 1.65/1.87 % (27427)------------------------------
% 1.65/1.87 % (27427)------------------------------
% 1.65/1.87 % (27431)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_27030 for (2994ds/458Mi)
% 1.65/1.87 % (27423)Instruction limit reached!
% 1.65/1.87 % (27423)------------------------------
% 1.65/1.87 % (27423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.87 % (27423)Termination reason: Unknown
% 1.65/1.87 % (27423)Termination phase: Saturation
% 1.65/1.87
% 1.65/1.87 % (27423)Memory used [KB]: 6524
% 1.65/1.87 % (27423)Time elapsed: 0.106 s
% 1.65/1.87 % (27423)Instructions burned: 340 (million)
% 1.65/1.87 % (27423)------------------------------
% 1.65/1.87 % (27423)------------------------------
% 1.65/1.87 % (27432)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_27030 for (2994ds/31Mi)
% 1.65/1.88 % (27433)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_27030 for (2994ds/297Mi)
% 1.65/1.88 % (27434)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_27030 for (2994ds/987Mi)
% 1.65/1.88 % (27432)Instruction limit reached!
% 1.65/1.88 % (27432)------------------------------
% 1.65/1.88 % (27432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.88 % (27432)Termination reason: Unknown
% 1.65/1.88 % (27432)Termination phase: Saturation
% 1.65/1.88
% 1.65/1.88 % (27432)Memory used [KB]: 5756
% 1.65/1.88 % (27432)Time elapsed: 0.011 s
% 1.65/1.88 % (27432)Instructions burned: 33 (million)
% 1.65/1.88 % (27432)------------------------------
% 1.65/1.88 % (27432)------------------------------
% 1.65/1.89 % (27435)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_27030 for (2994ds/182Mi)
% 1.65/1.89 % (27426)Instruction limit reached!
% 1.65/1.89 % (27426)------------------------------
% 1.65/1.89 % (27426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.89 % (27426)Termination reason: Unknown
% 1.65/1.89 % (27426)Termination phase: Saturation
% 1.65/1.89
% 1.65/1.89 % (27426)Memory used [KB]: 6396
% 1.65/1.89 % (27426)Time elapsed: 0.085 s
% 1.65/1.89 % (27426)Instructions burned: 298 (million)
% 1.65/1.89 % (27426)------------------------------
% 1.65/1.89 % (27426)------------------------------
% 1.65/1.90 % (27428)Instruction limit reached!
% 1.65/1.90 % (27428)------------------------------
% 1.65/1.90 % (27428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.90 % (27428)Termination reason: Unknown
% 1.65/1.90 % (27428)Termination phase: Saturation
% 1.65/1.90
% 1.65/1.90 % (27428)Memory used [KB]: 5884
% 1.65/1.90 % (27428)Time elapsed: 0.070 s
% 1.65/1.90 % (27428)Instructions burned: 258 (million)
% 1.65/1.90 % (27428)------------------------------
% 1.65/1.90 % (27428)------------------------------
% 1.65/1.90 % (27436)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_27030 for (2993ds/182Mi)
% 1.65/1.91 % (27437)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_27030 for (2993ds/154Mi)
% 1.65/1.92 % (27430)Instruction limit reached!
% 1.65/1.92 % (27430)------------------------------
% 1.65/1.92 % (27430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.92 % (27430)Termination reason: Unknown
% 1.65/1.92 % (27430)Termination phase: Saturation
% 1.65/1.92
% 1.65/1.92 % (27430)Memory used [KB]: 5884
% 1.65/1.92 % (27430)Time elapsed: 0.062 s
% 1.65/1.92 % (27430)Instructions burned: 233 (million)
% 1.65/1.92 % (27430)------------------------------
% 1.65/1.92 % (27430)------------------------------
% 1.65/1.93 % (27438)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_27030 for (2993ds/79Mi)
% 1.65/1.93 % (27435)Instruction limit reached!
% 1.65/1.93 % (27435)------------------------------
% 1.65/1.93 % (27435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.93 % (27435)Termination reason: Unknown
% 1.65/1.93 % (27435)Termination phase: Saturation
% 1.65/1.93
% 1.65/1.93 % (27435)Memory used [KB]: 6012
% 1.65/1.93 % (27435)Time elapsed: 0.046 s
% 1.65/1.93 % (27435)Instructions burned: 182 (million)
% 1.65/1.93 % (27435)------------------------------
% 1.65/1.93 % (27435)------------------------------
% 1.65/1.94 % (27439)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_27030 for (2993ds/216Mi)
% 1.65/1.95 % (27431)Refutation not found, incomplete strategy
% 1.65/1.95 % (27431)------------------------------
% 1.65/1.95 % (27431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.95 % (27431)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.95
% 1.65/1.95
% 1.65/1.95 % (27431)Memory used [KB]: 6396
% 1.65/1.95 % (27431)Time elapsed: 0.078 s
% 1.65/1.95 % (27431)Instructions burned: 254 (million)
% 1.65/1.95 % (27431)------------------------------
% 1.65/1.95 % (27431)------------------------------
% 1.65/1.95 % (27438)Instruction limit reached!
% 1.65/1.95 % (27438)------------------------------
% 1.65/1.95 % (27438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.95 % (27438)Termination reason: Unknown
% 1.65/1.95 % (27438)Termination phase: Saturation
% 1.65/1.95
% 1.65/1.95 % (27438)Memory used [KB]: 5756
% 1.65/1.95 % (27438)Time elapsed: 0.025 s
% 1.65/1.95 % (27438)Instructions burned: 81 (million)
% 1.65/1.95 % (27438)------------------------------
% 1.65/1.95 % (27438)------------------------------
% 1.65/1.95 % (27437)Instruction limit reached!
% 1.65/1.95 % (27437)------------------------------
% 1.65/1.95 % (27437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.95 % (27437)Termination reason: Unknown
% 1.65/1.95 % (27437)Termination phase: Saturation
% 1.65/1.95
% 1.65/1.95 % (27437)Memory used [KB]: 6524
% 1.65/1.95 % (27437)Time elapsed: 0.065 s
% 1.65/1.95 % (27437)Instructions burned: 157 (million)
% 1.65/1.95 % (27437)------------------------------
% 1.65/1.95 % (27437)------------------------------
% 1.65/1.96 % (27440)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_27030 for (2993ds/114Mi)
% 1.65/1.96 % (27433)Instruction limit reached!
% 1.65/1.96 % (27433)------------------------------
% 1.65/1.96 % (27433)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.96 % (27433)Termination reason: Unknown
% 1.65/1.96 % (27433)Termination phase: Saturation
% 1.65/1.96
% 1.65/1.96 % (27433)Memory used [KB]: 6140
% 1.65/1.96 % (27433)Time elapsed: 0.102 s
% 1.65/1.96 % (27433)Instructions burned: 298 (million)
% 1.65/1.96 % (27433)------------------------------
% 1.65/1.96 % (27433)------------------------------
% 1.65/1.96 % (27436)Refutation not found, incomplete strategy
% 1.65/1.96 % (27436)------------------------------
% 1.65/1.96 % (27436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.96 % (27436)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.96
% 1.65/1.96
% 1.65/1.96 % (27436)Memory used [KB]: 6140
% 1.65/1.96 % (27436)Time elapsed: 0.080 s
% 1.65/1.96 % (27436)Instructions burned: 175 (million)
% 1.65/1.96 % (27436)------------------------------
% 1.65/1.96 % (27436)------------------------------
% 1.65/1.96 % (27441)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_27030 for (2993ds/922Mi)
% 1.65/1.96 % (27442)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_27030 for (2993ds/182Mi)
% 1.65/1.97 % (27443)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_27030 for (2993ds/164Mi)
% 1.65/1.97 % (27444)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_27030 for (2993ds/50Mi)
% 1.65/1.98 % (27444)Instruction limit reached!
% 1.65/1.98 % (27444)------------------------------
% 1.65/1.98 % (27444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.98 % (27444)Termination reason: Unknown
% 1.65/1.98 % (27444)Termination phase: Saturation
% 1.65/1.98
% 1.65/1.98 % (27444)Memory used [KB]: 10618
% 1.65/1.98 % (27444)Time elapsed: 0.016 s
% 1.65/1.98 % (27444)Instructions burned: 53 (million)
% 1.65/1.98 % (27444)------------------------------
% 1.65/1.98 % (27444)------------------------------
% 1.65/1.99 % (27440)Instruction limit reached!
% 1.65/1.99 % (27440)------------------------------
% 1.65/1.99 % (27440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.99 % (27440)Termination reason: Unknown
% 1.65/1.99 % (27440)Termination phase: Saturation
% 1.65/1.99
% 1.65/1.99 % (27440)Memory used [KB]: 6524
% 1.65/1.99 % (27440)Time elapsed: 0.032 s
% 1.65/1.99 % (27440)Instructions burned: 114 (million)
% 1.65/1.99 % (27440)------------------------------
% 1.65/1.99 % (27440)------------------------------
% 1.65/1.99 % (27445)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_27030 for (2992ds/368Mi)
% 1.65/2.00 % (27446)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_27030 for (2992ds/1021Mi)
% 1.65/2.01 % (27439)Instruction limit reached!
% 1.65/2.01 % (27439)------------------------------
% 1.65/2.01 % (27439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/2.01 % (27439)Termination reason: Unknown
% 1.65/2.01 % (27439)Termination phase: Saturation
% 1.65/2.01
% 1.65/2.01 % (27439)Memory used [KB]: 5884
% 1.65/2.01 % (27439)Time elapsed: 0.063 s
% 1.65/2.01 % (27439)Instructions burned: 217 (million)
% 1.65/2.01 % (27439)------------------------------
% 1.65/2.01 % (27439)------------------------------
% 6.78/2.01 % (27442)Instruction limit reached!
% 6.78/2.01 % (27442)------------------------------
% 6.78/2.01 % (27442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.01 % (27442)Termination reason: Unknown
% 6.78/2.01 % (27442)Termination phase: Saturation
% 6.78/2.01
% 6.78/2.01 % (27442)Memory used [KB]: 5884
% 6.78/2.01 % (27442)Time elapsed: 0.052 s
% 6.78/2.01 % (27442)Instructions burned: 184 (million)
% 6.78/2.01 % (27442)------------------------------
% 6.78/2.01 % (27442)------------------------------
% 6.78/2.01 % (27447)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_27030 for (2992ds/267Mi)
% 6.78/2.02 % (27443)Instruction limit reached!
% 6.78/2.02 % (27443)------------------------------
% 6.78/2.02 % (27443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.02 % (27443)Termination reason: Unknown
% 6.78/2.02 % (27443)Termination phase: Saturation
% 6.78/2.02
% 6.78/2.02 % (27443)Memory used [KB]: 1407
% 6.78/2.02 % (27443)Time elapsed: 0.051 s
% 6.78/2.02 % (27443)Instructions burned: 167 (million)
% 6.78/2.02 % (27443)------------------------------
% 6.78/2.02 % (27443)------------------------------
% 6.78/2.02 % (27441)Refutation not found, incomplete strategy
% 6.78/2.02 % (27441)------------------------------
% 6.78/2.02 % (27441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.02 % (27441)Termination reason: Refutation not found, incomplete strategy
% 6.78/2.02
% 6.78/2.02
% 6.78/2.02 % (27441)Memory used [KB]: 6396
% 6.78/2.02 % (27441)Time elapsed: 0.061 s
% 6.78/2.02 % (27441)Instructions burned: 193 (million)
% 6.78/2.02 % (27441)------------------------------
% 6.78/2.02 % (27441)------------------------------
% 6.78/2.02 % (27448)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_27030 for (2992ds/204Mi)
% 6.78/2.03 % (27449)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_27030 for (2992ds/26Mi)
% 6.78/2.03 % (27450)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_27030 for (2992ds/53Mi)
% 6.78/2.03 % (27449)Instruction limit reached!
% 6.78/2.03 % (27449)------------------------------
% 6.78/2.03 % (27449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.03 % (27449)Termination reason: Unknown
% 6.78/2.03 % (27449)Termination phase: Saturation
% 6.78/2.03
% 6.78/2.03 % (27449)Memory used [KB]: 5628
% 6.78/2.03 % (27449)Time elapsed: 0.009 s
% 6.78/2.03 % (27449)Instructions burned: 29 (million)
% 6.78/2.03 % (27449)------------------------------
% 6.78/2.03 % (27449)------------------------------
% 6.78/2.04 % (27451)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_27030 for (2992ds/4436Mi)
% 6.78/2.04 % (27450)Instruction limit reached!
% 6.78/2.04 % (27450)------------------------------
% 6.78/2.04 % (27450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.04 % (27450)Termination reason: Unknown
% 6.78/2.04 % (27450)Termination phase: Saturation
% 6.78/2.04
% 6.78/2.04 % (27450)Memory used [KB]: 5756
% 6.78/2.04 % (27450)Time elapsed: 0.016 s
% 6.78/2.04 % (27450)Instructions burned: 56 (million)
% 6.78/2.04 % (27450)------------------------------
% 6.78/2.04 % (27450)------------------------------
% 6.78/2.05 % (27452)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_27030 for (2992ds/1539Mi)
% 6.78/2.08 % (27448)Instruction limit reached!
% 6.78/2.08 % (27448)------------------------------
% 6.78/2.08 % (27448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.08 % (27448)Termination reason: Unknown
% 6.78/2.08 % (27448)Termination phase: Saturation
% 6.78/2.08
% 6.78/2.08 % (27448)Memory used [KB]: 6140
% 6.78/2.08 % (27448)Time elapsed: 0.064 s
% 6.78/2.08 % (27448)Instructions burned: 206 (million)
% 6.78/2.08 % (27448)------------------------------
% 6.78/2.08 % (27448)------------------------------
% 6.78/2.09 % (27447)Instruction limit reached!
% 6.78/2.09 % (27447)------------------------------
% 6.78/2.09 % (27447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.09 % (27447)Termination reason: Unknown
% 6.78/2.09 % (27447)Termination phase: Saturation
% 6.78/2.09
% 6.78/2.09 % (27447)Memory used [KB]: 6780
% 6.78/2.09 % (27447)Time elapsed: 0.073 s
% 6.78/2.09 % (27447)Instructions burned: 268 (million)
% 6.78/2.09 % (27447)------------------------------
% 6.78/2.09 % (27447)------------------------------
% 6.78/2.09 % (27453)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_27030 for (2991ds/408Mi)
% 6.78/2.09 % (27445)Instruction limit reached!
% 6.78/2.09 % (27445)------------------------------
% 6.78/2.09 % (27445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.09 % (27445)Termination reason: Unknown
% 6.78/2.09 % (27445)Termination phase: Saturation
% 6.78/2.09
% 6.78/2.09 % (27445)Memory used [KB]: 6908
% 6.78/2.09 % (27445)Time elapsed: 0.103 s
% 6.78/2.09 % (27445)Instructions burned: 368 (million)
% 6.78/2.09 % (27445)------------------------------
% 6.78/2.09 % (27445)------------------------------
% 6.78/2.10 % (27454)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_27030 for (2991ds/5205Mi)
% 6.78/2.10 % (27451)Refutation not found, incomplete strategy
% 6.78/2.10 % (27451)------------------------------
% 6.78/2.10 % (27451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.10 % (27451)Termination reason: Refutation not found, incomplete strategy
% 6.78/2.10
% 6.78/2.10
% 6.78/2.10 % (27451)Memory used [KB]: 6140
% 6.78/2.10 % (27451)Time elapsed: 0.061 s
% 6.78/2.10 % (27451)Instructions burned: 195 (million)
% 6.78/2.10 % (27451)------------------------------
% 6.78/2.10 % (27451)------------------------------
% 6.78/2.10 % (27455)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_27030 for (2991ds/1913Mi)
% 6.78/2.11 % (27455)Refutation not found, incomplete strategy
% 6.78/2.11 % (27455)------------------------------
% 6.78/2.11 % (27455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.78/2.11 % (27455)Termination reason: Refutation not found, incomplete strategy
% 6.78/2.11
% 6.78/2.11
% 6.78/2.11 % (27455)Memory used [KB]: 1151
% 6.78/2.11 % (27455)Time elapsed: 0.005 s
% 6.78/2.11 % (27455)Instructions burned: 13 (million)
% 6.78/2.11 % (27455)------------------------------
% 6.78/2.11 % (27455)------------------------------
% 7.39/2.11 % (27456)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_27030 for (2991ds/4350Mi)
% 7.39/2.12 % (27457)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=68:si=on:rtra=on_0 on DTF2THF_27030 for (2991ds/68Mi)
% 7.39/2.14 % (27457)Instruction limit reached!
% 7.39/2.14 % (27457)------------------------------
% 7.39/2.14 % (27457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/2.14 % (27457)Termination reason: Unknown
% 7.39/2.14 % (27457)Termination phase: Saturation
% 7.39/2.14
% 7.39/2.14 % (27457)Memory used [KB]: 5884
% 7.39/2.14 % (27457)Time elapsed: 0.021 s
% 7.39/2.14 % (27457)Instructions burned: 69 (million)
% 7.39/2.14 % (27457)------------------------------
% 7.39/2.14 % (27457)------------------------------
% 7.39/2.15 % (27458)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_27030 for (2991ds/358Mi)
% 7.59/2.21 % (27453)Instruction limit reached!
% 7.59/2.21 % (27453)------------------------------
% 7.59/2.21 % (27453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.21 % (27453)Termination reason: Unknown
% 7.59/2.21 % (27453)Termination phase: Saturation
% 7.59/2.21
% 7.59/2.21 % (27453)Memory used [KB]: 6396
% 7.59/2.21 % (27453)Time elapsed: 0.113 s
% 7.59/2.21 % (27453)Instructions burned: 408 (million)
% 7.59/2.21 % (27453)------------------------------
% 7.59/2.21 % (27453)------------------------------
% 7.59/2.22 % (27459)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_27030 for (2990ds/31Mi)
% 7.59/2.22 % (27434)Instruction limit reached!
% 7.59/2.22 % (27434)------------------------------
% 7.59/2.22 % (27434)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.22 % (27434)Termination reason: Unknown
% 7.59/2.22 % (27434)Termination phase: Saturation
% 7.59/2.22
% 7.59/2.22 % (27434)Memory used [KB]: 6652
% 7.59/2.22 % (27434)Time elapsed: 0.362 s
% 7.59/2.22 % (27434)Instructions burned: 987 (million)
% 7.59/2.22 % (27434)------------------------------
% 7.59/2.22 % (27434)------------------------------
% 7.59/2.22 % (27458)Refutation not found, incomplete strategy
% 7.59/2.22 % (27458)------------------------------
% 7.59/2.22 % (27458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.22 % (27458)Termination reason: Refutation not found, incomplete strategy
% 7.59/2.22
% 7.59/2.22
% 7.59/2.22 % (27458)Memory used [KB]: 6140
% 7.59/2.22 % (27458)Time elapsed: 0.074 s
% 7.59/2.22 % (27458)Instructions burned: 240 (million)
% 7.59/2.22 % (27458)------------------------------
% 7.59/2.22 % (27458)------------------------------
% 7.59/2.22 % (27459)Instruction limit reached!
% 7.59/2.22 % (27459)------------------------------
% 7.59/2.22 % (27459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.22 % (27459)Termination reason: Unknown
% 7.59/2.22 % (27459)Termination phase: Saturation
% 7.59/2.22
% 7.59/2.22 % (27459)Memory used [KB]: 5756
% 7.59/2.22 % (27459)Time elapsed: 0.011 s
% 7.59/2.22 % (27459)Instructions burned: 31 (million)
% 7.59/2.22 % (27459)------------------------------
% 7.59/2.22 % (27459)------------------------------
% 7.59/2.23 % (27460)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_27030 for (2990ds/279Mi)
% 7.59/2.23 % (27461)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_27030 for (2990ds/258Mi)
% 7.59/2.23 % (27462)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_27030 for (2990ds/26Mi)
% 7.59/2.24 % (27462)Instruction limit reached!
% 7.59/2.24 % (27462)------------------------------
% 7.59/2.24 % (27462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.24 % (27462)Termination reason: Unknown
% 7.59/2.24 % (27462)Termination phase: Saturation
% 7.59/2.24
% 7.59/2.24 % (27462)Memory used [KB]: 5628
% 7.59/2.24 % (27462)Time elapsed: 0.008 s
% 7.59/2.24 % (27462)Instructions burned: 28 (million)
% 7.59/2.24 % (27462)------------------------------
% 7.59/2.24 % (27462)------------------------------
% 7.59/2.25 % (27463)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_27030 for (2990ds/995Mi)
% 7.59/2.27 % (27446)Instruction limit reached!
% 7.59/2.27 % (27446)------------------------------
% 7.59/2.27 % (27446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.27 % (27446)Termination reason: Unknown
% 7.59/2.27 % (27446)Termination phase: Saturation
% 7.59/2.27
% 7.59/2.27 % (27446)Memory used [KB]: 6396
% 7.59/2.27 % (27446)Time elapsed: 0.273 s
% 7.59/2.27 % (27446)Instructions burned: 1023 (million)
% 7.59/2.27 % (27446)------------------------------
% 7.59/2.27 % (27446)------------------------------
% 7.59/2.27 % (27461)Refutation not found, incomplete strategy
% 7.59/2.27 % (27461)------------------------------
% 7.59/2.27 % (27461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.27 % (27461)Termination reason: Refutation not found, incomplete strategy
% 7.59/2.27
% 7.59/2.27
% 7.59/2.27 % (27461)Memory used [KB]: 6140
% 7.59/2.27 % (27461)Time elapsed: 0.043 s
% 7.59/2.27 % (27461)Instructions burned: 137 (million)
% 7.59/2.27 % (27461)------------------------------
% 7.59/2.27 % (27461)------------------------------
% 7.59/2.28 % (27464)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_27030 for (2990ds/373Mi)
% 7.59/2.28 % (27465)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_27030 for (2990ds/253Mi)
% 7.99/2.31 % (27460)Instruction limit reached!
% 7.99/2.31 % (27460)------------------------------
% 7.99/2.31 % (27460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.99/2.31 % (27460)Termination reason: Unknown
% 7.99/2.31 % (27460)Termination phase: Saturation
% 7.99/2.31
% 7.99/2.31 % (27460)Memory used [KB]: 6012
% 7.99/2.31 % (27460)Time elapsed: 0.079 s
% 7.99/2.31 % (27460)Instructions burned: 282 (million)
% 7.99/2.31 % (27460)------------------------------
% 7.99/2.31 % (27460)------------------------------
% 7.99/2.32 % (27466)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_27030 for (2989ds/832Mi)
% 7.99/2.34 % (27466)Refutation not found, incomplete strategy
% 7.99/2.34 % (27466)------------------------------
% 7.99/2.34 % (27466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.99/2.34 % (27466)Termination reason: Refutation not found, incomplete strategy
% 7.99/2.34
% 7.99/2.34
% 7.99/2.34 % (27466)Memory used [KB]: 5756
% 7.99/2.34 % (27466)Time elapsed: 0.022 s
% 7.99/2.34 % (27466)Instructions burned: 62 (million)
% 7.99/2.34 % (27466)------------------------------
% 7.99/2.34 % (27466)------------------------------
% 7.99/2.35 % (27467)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_27030 for (2989ds/668Mi)
% 7.99/2.35 % (27465)Instruction limit reached!
% 7.99/2.35 % (27465)------------------------------
% 7.99/2.35 % (27465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.99/2.35 % (27465)Termination reason: Unknown
% 7.99/2.35 % (27465)Termination phase: Saturation
% 7.99/2.35
% 7.99/2.35 % (27465)Memory used [KB]: 6140
% 7.99/2.35 % (27465)Time elapsed: 0.092 s
% 7.99/2.35 % (27465)Instructions burned: 254 (million)
% 7.99/2.35 % (27465)------------------------------
% 7.99/2.35 % (27465)------------------------------
% 7.99/2.36 % (27468)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=40:si=on:rtra=on_0 on DTF2THF_27030 for (2989ds/40Mi)
% 7.99/2.37 % (27468)Instruction limit reached!
% 7.99/2.37 % (27468)------------------------------
% 7.99/2.37 % (27468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.99/2.37 % (27468)Termination reason: Unknown
% 7.99/2.37 % (27468)Termination phase: Saturation
% 7.99/2.37
% 7.99/2.37 % (27468)Memory used [KB]: 5628
% 7.99/2.37 % (27468)Time elapsed: 0.012 s
% 7.99/2.37 % (27468)Instructions burned: 42 (million)
% 7.99/2.37 % (27468)------------------------------
% 7.99/2.37 % (27468)------------------------------
% 7.99/2.38 % (27464)Instruction limit reached!
% 7.99/2.38 % (27464)------------------------------
% 7.99/2.38 % (27464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.99/2.38 % (27464)Termination reason: Unknown
% 7.99/2.38 % (27464)Termination phase: Saturation
% 7.99/2.38
% 7.99/2.38 % (27464)Memory used [KB]: 6652
% 7.99/2.38 % (27464)Time elapsed: 0.104 s
% 7.99/2.38 % (27464)Instructions burned: 375 (million)
% 7.99/2.38 % (27464)------------------------------
% 7.99/2.38 % (27464)------------------------------
% 7.99/2.38 % (27469)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_27030 for (2988ds/294Mi)
% 7.99/2.39 % (27470)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_27030 for (2988ds/187Mi)
% 8.32/2.44 % (27470)Instruction limit reached!
% 8.32/2.44 % (27470)------------------------------
% 8.32/2.44 % (27470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.32/2.44 % (27470)Termination reason: Unknown
% 8.32/2.44 % (27470)Termination phase: Saturation
% 8.32/2.44
% 8.32/2.44 % (27470)Memory used [KB]: 8315
% 8.32/2.44 % (27470)Time elapsed: 0.052 s
% 8.32/2.44 % (27470)Instructions burned: 189 (million)
% 8.32/2.44 % (27470)------------------------------
% 8.32/2.44 % (27470)------------------------------
% 8.32/2.45 % (27471)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_27030 for (2988ds/371Mi)
% 8.32/2.46 % (27469)Instruction limit reached!
% 8.32/2.46 % (27469)------------------------------
% 8.32/2.46 % (27469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.32/2.46 % (27469)Termination reason: Unknown
% 8.32/2.46 % (27469)Termination phase: Saturation
% 8.32/2.46
% 8.32/2.46 % (27469)Memory used [KB]: 6268
% 8.32/2.46 % (27469)Time elapsed: 0.082 s
% 8.32/2.46 % (27469)Instructions burned: 297 (million)
% 8.32/2.46 % (27469)------------------------------
% 8.32/2.46 % (27469)------------------------------
% 8.32/2.47 % (27472)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_27030 for (2988ds/1827Mi)
% 8.32/2.50 % (27471)Refutation not found, incomplete strategy
% 8.32/2.50 % (27471)------------------------------
% 8.32/2.50 % (27471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.32/2.50 % (27471)Termination reason: Refutation not found, incomplete strategy
% 8.32/2.50
% 8.32/2.50
% 8.32/2.50 % (27471)Memory used [KB]: 6268
% 8.32/2.50 % (27471)Time elapsed: 0.045 s
% 8.32/2.50 % (27471)Instructions burned: 146 (million)
% 8.32/2.50 % (27471)------------------------------
% 8.32/2.50 % (27471)------------------------------
% 8.32/2.50 % (27452)Instruction limit reached!
% 8.32/2.50 % (27452)------------------------------
% 8.32/2.50 % (27452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.32/2.50 % (27452)Termination reason: Unknown
% 8.32/2.50 % (27452)Termination phase: Saturation
% 8.32/2.50
% 8.32/2.50 % (27452)Memory used [KB]: 7931
% 8.32/2.50 % (27452)Time elapsed: 0.443 s
% 8.32/2.50 % (27452)Instructions burned: 1539 (million)
% 8.32/2.50 % (27452)------------------------------
% 8.32/2.50 % (27452)------------------------------
% 8.97/2.51 % (27473)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_27030 for (2987ds/70Mi)
% 8.97/2.51 % (27474)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_27030 for (2987ds/316Mi)
% 8.97/2.52 % (27463)Instruction limit reached!
% 8.97/2.52 % (27463)------------------------------
% 8.97/2.52 % (27463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.97/2.52 % (27463)Termination reason: Unknown
% 8.97/2.52 % (27463)Termination phase: Saturation
% 8.97/2.52
% 8.97/2.52 % (27463)Memory used [KB]: 6140
% 8.97/2.52 % (27463)Time elapsed: 0.288 s
% 8.97/2.52 % (27463)Instructions burned: 996 (million)
% 8.97/2.52 % (27463)------------------------------
% 8.97/2.52 % (27463)------------------------------
% 8.97/2.52 % (27473)Instruction limit reached!
% 8.97/2.52 % (27473)------------------------------
% 8.97/2.52 % (27473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.97/2.52 % (27473)Termination reason: Unknown
% 8.97/2.52 % (27473)Termination phase: Saturation
% 8.97/2.52
% 8.97/2.52 % (27473)Memory used [KB]: 1407
% 8.97/2.52 % (27473)Time elapsed: 0.021 s
% 8.97/2.52 % (27473)Instructions burned: 73 (million)
% 8.97/2.52 % (27473)------------------------------
% 8.97/2.52 % (27473)------------------------------
% 8.97/2.53 % (27475)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_27030 for (2987ds/932Mi)
% 8.97/2.53 % (27476)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_27030 for (2987ds/4714Mi)
% 8.97/2.54 % (27467)Instruction limit reached!
% 8.97/2.54 % (27467)------------------------------
% 8.97/2.54 % (27467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.97/2.54 % (27467)Termination reason: Unknown
% 8.97/2.54 % (27467)Termination phase: Saturation
% 8.97/2.54
% 8.97/2.54 % (27467)Memory used [KB]: 12409
% 8.97/2.54 % (27467)Time elapsed: 0.199 s
% 8.97/2.54 % (27467)Instructions burned: 668 (million)
% 8.97/2.54 % (27467)------------------------------
% 8.97/2.54 % (27467)------------------------------
% 8.97/2.55 % (27477)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_27030 for (2987ds/8250Mi)
% 8.97/2.59 % (27474)Instruction limit reached!
% 8.97/2.59 % (27474)------------------------------
% 8.97/2.59 % (27474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.97/2.59 % (27474)Termination reason: Unknown
% 8.97/2.59 % (27474)Termination phase: Saturation
% 8.97/2.59
% 8.97/2.59 % (27474)Memory used [KB]: 5884
% 8.97/2.59 % (27474)Time elapsed: 0.090 s
% 8.97/2.59 % (27474)Instructions burned: 319 (million)
% 8.97/2.59 % (27474)------------------------------
% 8.97/2.59 % (27474)------------------------------
% 9.59/2.60 % (27478)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_27030 for (2986ds/770Mi)
% 9.59/2.62 % (27477)Refutation not found, incomplete strategy
% 9.59/2.62 % (27477)------------------------------
% 9.59/2.62 % (27477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.59/2.62 % (27477)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.62
% 9.59/2.62
% 9.59/2.62 % (27477)Memory used [KB]: 6140
% 9.59/2.62 % (27477)Time elapsed: 0.063 s
% 9.59/2.62 % (27477)Instructions burned: 194 (million)
% 9.59/2.62 % (27477)------------------------------
% 9.59/2.62 % (27477)------------------------------
% 9.59/2.63 % (27479)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_27030 for (2986ds/794Mi)
% 9.66/2.78 % (27475)Instruction limit reached!
% 9.66/2.78 % (27475)------------------------------
% 9.66/2.78 % (27475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.66/2.78 % (27475)Termination reason: Unknown
% 9.66/2.78 % (27475)Termination phase: Saturation
% 9.66/2.78
% 9.66/2.78 % (27475)Memory used [KB]: 7036
% 9.66/2.78 % (27475)Time elapsed: 0.254 s
% 9.66/2.78 % (27475)Instructions burned: 934 (million)
% 9.66/2.78 % (27475)------------------------------
% 9.66/2.78 % (27475)------------------------------
% 9.66/2.79 % (27480)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_27030 for (2984ds/464Mi)
% 9.93/2.82 % (27478)Instruction limit reached!
% 9.93/2.82 % (27478)------------------------------
% 9.93/2.82 % (27478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.82 % (27478)Termination reason: Unknown
% 9.93/2.82 % (27478)Termination phase: Saturation
% 9.93/2.82
% 9.93/2.82 % (27478)Memory used [KB]: 6524
% 9.93/2.82 % (27478)Time elapsed: 0.222 s
% 9.93/2.82 % (27478)Instructions burned: 773 (million)
% 9.93/2.82 % (27478)------------------------------
% 9.93/2.82 % (27478)------------------------------
% 9.93/2.83 % (27481)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_27030 for (2984ds/1376Mi)
% 9.93/2.85 % (27479)Instruction limit reached!
% 9.93/2.85 % (27479)------------------------------
% 9.93/2.85 % (27479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.85 % (27479)Termination reason: Unknown
% 9.93/2.85 % (27479)Termination phase: Saturation
% 9.93/2.85
% 9.93/2.85 % (27479)Memory used [KB]: 3454
% 9.93/2.85 % (27479)Time elapsed: 0.230 s
% 9.93/2.85 % (27479)Instructions burned: 796 (million)
% 9.93/2.85 % (27479)------------------------------
% 9.93/2.85 % (27479)------------------------------
% 9.93/2.86 % (27482)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_27030 for (2984ds/906Mi)
% 9.93/2.87 % (27480)Refutation not found, incomplete strategy
% 9.93/2.87 % (27480)------------------------------
% 9.93/2.87 % (27480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.87 % (27480)Termination reason: Refutation not found, incomplete strategy
% 9.93/2.87
% 9.93/2.87
% 9.93/2.87 % (27480)Memory used [KB]: 6396
% 9.93/2.87 % (27480)Time elapsed: 0.080 s
% 9.93/2.87 % (27480)Instructions burned: 261 (million)
% 9.93/2.87 % (27480)------------------------------
% 9.93/2.87 % (27480)------------------------------
% 9.93/2.88 % (27483)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_27030 for (2984ds/434Mi)
% 9.93/2.89 % (27472)Refutation not found, incomplete strategy
% 9.93/2.89 % (27472)------------------------------
% 9.93/2.89 % (27472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.89 % (27472)Termination reason: Refutation not found, incomplete strategy
% 9.93/2.89
% 9.93/2.89
% 9.93/2.89 % (27472)Memory used [KB]: 6908
% 9.93/2.89 % (27472)Time elapsed: 0.423 s
% 9.93/2.89 % (27472)Instructions burned: 1490 (million)
% 9.93/2.89 % (27472)------------------------------
% 9.93/2.89 % (27472)------------------------------
% 10.92/2.90 % (27484)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_27030 for (2983ds/865Mi)
% 10.92/3.00 % (27483)Instruction limit reached!
% 10.92/3.00 % (27483)------------------------------
% 10.92/3.00 % (27483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.92/3.00 % (27483)Termination reason: Unknown
% 10.92/3.00 % (27483)Termination phase: Saturation
% 10.92/3.00
% 10.92/3.00 % (27483)Memory used [KB]: 6396
% 10.92/3.00 % (27483)Time elapsed: 0.123 s
% 10.92/3.00 % (27483)Instructions burned: 435 (million)
% 10.92/3.00 % (27483)------------------------------
% 10.92/3.00 % (27483)------------------------------
% 10.92/3.01 % (27486)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_27030 for (2982ds/593Mi)
% 14.46/3.13 % (27482)Instruction limit reached!
% 14.46/3.13 % (27482)------------------------------
% 14.46/3.13 % (27482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.46/3.13 % (27482)Termination reason: Unknown
% 14.46/3.13 % (27482)Termination phase: Saturation
% 14.46/3.13
% 14.46/3.13 % (27482)Memory used [KB]: 8059
% 14.46/3.13 % (27482)Time elapsed: 0.263 s
% 14.46/3.13 % (27482)Instructions burned: 907 (million)
% 14.46/3.13 % (27482)------------------------------
% 14.46/3.13 % (27482)------------------------------
% 14.46/3.14 % (27487)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_27030 for (2981ds/443Mi)
% 14.46/3.14 % (27484)Instruction limit reached!
% 14.46/3.14 % (27484)------------------------------
% 14.46/3.14 % (27484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.46/3.14 % (27484)Termination reason: Unknown
% 14.46/3.14 % (27484)Termination phase: Saturation
% 14.46/3.14
% 14.46/3.14 % (27484)Memory used [KB]: 14711
% 14.46/3.14 % (27484)Time elapsed: 0.238 s
% 14.46/3.14 % (27484)Instructions burned: 868 (million)
% 14.46/3.14 % (27484)------------------------------
% 14.46/3.14 % (27484)------------------------------
% 14.46/3.15 % (27488)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_27030 for (2981ds/594Mi)
% 14.46/3.18 % (27486)Instruction limit reached!
% 14.46/3.18 % (27486)------------------------------
% 14.46/3.18 % (27486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.46/3.18 % (27486)Termination reason: Unknown
% 14.46/3.18 % (27486)Termination phase: Saturation
% 14.46/3.18
% 14.46/3.18 % (27486)Memory used [KB]: 7164
% 14.46/3.18 % (27486)Time elapsed: 0.167 s
% 14.46/3.18 % (27486)Instructions burned: 594 (million)
% 14.46/3.18 % (27486)------------------------------
% 14.46/3.18 % (27486)------------------------------
% 14.46/3.18 % (27489)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_27030 for (2981ds/327Mi)
% 14.46/3.19 % (27481)Instruction limit reached!
% 14.46/3.19 % (27481)------------------------------
% 14.46/3.19 % (27481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.46/3.19 % (27481)Termination reason: Unknown
% 14.46/3.19 % (27481)Termination phase: Saturation
% 14.46/3.19
% 14.46/3.19 % (27481)Memory used [KB]: 26353
% 14.46/3.19 % (27481)Time elapsed: 0.362 s
% 14.46/3.19 % (27481)Instructions burned: 1379 (million)
% 14.46/3.19 % (27481)------------------------------
% 14.46/3.19 % (27481)------------------------------
% 14.96/3.21 % (27490)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_27030 for (2980ds/5411Mi)
% 14.96/3.22 % (27490)Refutation not found, incomplete strategy
% 14.96/3.22 % (27490)------------------------------
% 14.96/3.22 % (27490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.96/3.22 % (27490)Termination reason: Refutation not found, incomplete strategy
% 14.96/3.22
% 14.96/3.22
% 14.96/3.22 % (27490)Memory used [KB]: 5756
% 14.96/3.22 % (27490)Time elapsed: 0.019 s
% 14.96/3.22 % (27490)Instructions burned: 60 (million)
% 14.96/3.22 % (27490)------------------------------
% 14.96/3.22 % (27490)------------------------------
% 14.96/3.23 % (27491)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_27030 for (2980ds/1762Mi)
% 14.96/3.26 % (27487)Instruction limit reached!
% 14.96/3.26 % (27487)------------------------------
% 14.96/3.26 % (27487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.96/3.26 % (27487)Termination reason: Unknown
% 14.96/3.26 % (27487)Termination phase: Saturation
% 14.96/3.26
% 14.96/3.26 % (27487)Memory used [KB]: 6524
% 14.96/3.26 % (27487)Time elapsed: 0.126 s
% 14.96/3.26 % (27487)Instructions burned: 444 (million)
% 14.96/3.26 % (27487)------------------------------
% 14.96/3.26 % (27487)------------------------------
% 14.96/3.27 % (27489)Instruction limit reached!
% 14.96/3.27 % (27489)------------------------------
% 14.96/3.27 % (27489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.96/3.27 % (27489)Termination reason: Unknown
% 14.96/3.27 % (27489)Termination phase: Saturation
% 14.96/3.27
% 14.96/3.27 % (27489)Memory used [KB]: 10490
% 14.96/3.27 % (27489)Time elapsed: 0.085 s
% 14.96/3.27 % (27489)Instructions burned: 327 (million)
% 14.96/3.27 % (27489)------------------------------
% 14.96/3.27 % (27489)------------------------------
% 14.96/3.27 % (27492)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_27030 for (2980ds/96Mi)
% 14.96/3.28 % (27493)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_27030 for (2980ds/503Mi)
% 14.96/3.28 % (27456)Instruction limit reached!
% 14.96/3.28 % (27456)------------------------------
% 14.96/3.28 % (27456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.96/3.28 % (27456)Termination reason: Unknown
% 14.96/3.28 % (27456)Termination phase: Saturation
% 14.96/3.28
% 14.96/3.28 % (27456)Memory used [KB]: 9594
% 14.96/3.28 % (27456)Time elapsed: 1.172 s
% 14.96/3.28 % (27456)Instructions burned: 4353 (million)
% 14.96/3.28 % (27456)------------------------------
% 14.96/3.28 % (27456)------------------------------
% 14.96/3.29 % (27494)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_27030 for (2980ds/90Mi)
% 15.52/3.30 % (27492)Instruction limit reached!
% 15.52/3.30 % (27492)------------------------------
% 15.52/3.30 % (27492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.52/3.30 % (27492)Termination reason: Unknown
% 15.52/3.30 % (27492)Termination phase: Saturation
% 15.52/3.30
% 15.52/3.30 % (27492)Memory used [KB]: 5884
% 15.52/3.30 % (27492)Time elapsed: 0.031 s
% 15.52/3.30 % (27492)Instructions burned: 97 (million)
% 15.52/3.30 % (27492)------------------------------
% 15.52/3.30 % (27492)------------------------------
% 15.52/3.31 % (27495)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_27030 for (2979ds/593Mi)
% 15.52/3.31 % (27488)Instruction limit reached!
% 15.52/3.31 % (27488)------------------------------
% 15.52/3.31 % (27488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.52/3.31 % (27488)Termination reason: Unknown
% 15.52/3.31 % (27488)Termination phase: Saturation
% 15.52/3.31
% 15.52/3.31 % (27488)Memory used [KB]: 6780
% 15.52/3.31 % (27488)Time elapsed: 0.164 s
% 15.52/3.31 % (27488)Instructions burned: 595 (million)
% 15.52/3.31 % (27488)------------------------------
% 15.52/3.31 % (27488)------------------------------
% 15.52/3.32 % (27494)Instruction limit reached!
% 15.52/3.32 % (27494)------------------------------
% 15.52/3.32 % (27494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.52/3.32 % (27494)Termination reason: Unknown
% 15.52/3.32 % (27494)Termination phase: Saturation
% 15.52/3.32
% 15.52/3.32 % (27494)Memory used [KB]: 5756
% 15.52/3.32 % (27494)Time elapsed: 0.028 s
% 15.52/3.32 % (27494)Instructions burned: 92 (million)
% 15.52/3.32 % (27494)------------------------------
% 15.52/3.32 % (27494)------------------------------
% 15.52/3.32 % (27496)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_27030 for (2979ds/1512Mi)
% 15.52/3.33 % (27497)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_27030 for (2979ds/569Mi)
% 15.97/3.42 % (27493)Instruction limit reached!
% 15.97/3.42 % (27493)------------------------------
% 15.97/3.42 % (27493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.97/3.42 % (27493)Termination reason: Unknown
% 15.97/3.42 % (27493)Termination phase: Saturation
% 15.97/3.42
% 15.97/3.42 % (27493)Memory used [KB]: 7803
% 15.97/3.42 % (27493)Time elapsed: 0.139 s
% 15.97/3.42 % (27493)Instructions burned: 503 (million)
% 15.97/3.42 % (27493)------------------------------
% 15.97/3.42 % (27493)------------------------------
% 15.97/3.43 % (27498)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_27030 for (2978ds/501Mi)
% 15.97/3.47 % (27495)Instruction limit reached!
% 15.97/3.47 % (27495)------------------------------
% 15.97/3.47 % (27495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.97/3.47 % (27495)Termination reason: Unknown
% 15.97/3.47 % (27495)Termination phase: Saturation
% 15.97/3.47
% 15.97/3.47 % (27495)Memory used [KB]: 8059
% 15.97/3.47 % (27495)Time elapsed: 0.162 s
% 15.97/3.47 % (27495)Instructions burned: 593 (million)
% 15.97/3.47 % (27495)------------------------------
% 15.97/3.47 % (27495)------------------------------
% 15.97/3.48 % (27499)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_27030 for (2978ds/562Mi)
% 15.97/3.48 % (27497)Instruction limit reached!
% 15.97/3.48 % (27497)------------------------------
% 15.97/3.48 % (27497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.97/3.48 % (27497)Termination reason: Unknown
% 15.97/3.48 % (27497)Termination phase: Saturation
% 15.97/3.48
% 15.97/3.48 % (27497)Memory used [KB]: 6524
% 15.97/3.48 % (27497)Time elapsed: 0.177 s
% 15.97/3.48 % (27497)Instructions burned: 570 (million)
% 15.97/3.48 % (27497)------------------------------
% 15.97/3.48 % (27497)------------------------------
% 15.97/3.49 % (27454)Instruction limit reached!
% 15.97/3.49 % (27454)------------------------------
% 15.97/3.49 % (27454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.97/3.49 % (27454)Termination reason: Unknown
% 15.97/3.49 % (27454)Termination phase: Saturation
% 15.97/3.49
% 15.97/3.49 % (27454)Memory used [KB]: 8443
% 15.97/3.49 % (27454)Time elapsed: 1.397 s
% 15.97/3.49 % (27454)Instructions burned: 5205 (million)
% 15.97/3.49 % (27454)------------------------------
% 15.97/3.49 % (27454)------------------------------
% 15.97/3.49 % (27500)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_27030 for (2978ds/406Mi)
% 16.67/3.50 % (27501)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_27030 for (2977ds/582Mi)
% 16.67/3.53 % (27501)Refutation not found, incomplete strategy
% 16.67/3.53 % (27501)------------------------------
% 16.67/3.53 % (27501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.67/3.53 % (27501)Termination reason: Refutation not found, incomplete strategy
% 16.67/3.53
% 16.67/3.53
% 16.67/3.53 % (27501)Memory used [KB]: 5628
% 16.67/3.53 % (27501)Time elapsed: 0.048 s
% 16.67/3.53 % (27501)Instructions burned: 83 (million)
% 16.67/3.53 % (27501)------------------------------
% 16.67/3.53 % (27501)------------------------------
% 16.67/3.54 % (27502)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_27030 for (2977ds/456Mi)
% 16.67/3.54 % (27500)Refutation not found, incomplete strategy
% 16.67/3.54 % (27500)------------------------------
% 16.67/3.54 % (27500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.67/3.54 % (27500)Termination reason: Refutation not found, incomplete strategy
% 16.67/3.54
% 16.67/3.54
% 16.67/3.54 % (27500)Memory used [KB]: 6012
% 16.67/3.54 % (27500)Time elapsed: 0.075 s
% 16.67/3.54 % (27500)Instructions burned: 167 (million)
% 16.67/3.54 % (27500)------------------------------
% 16.67/3.54 % (27500)------------------------------
% 16.67/3.55 % (27503)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_27030 for (2977ds/393Mi)
% 16.67/3.56 % (27503)Refutation not found, incomplete strategy
% 16.67/3.56 % (27503)------------------------------
% 16.67/3.56 % (27503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.67/3.56 % (27503)Termination reason: Refutation not found, incomplete strategy
% 16.67/3.56
% 16.67/3.56
% 16.67/3.56 % (27503)Memory used [KB]: 5628
% 16.67/3.56 % (27503)Time elapsed: 0.005 s
% 16.67/3.56 % (27503)Instructions burned: 13 (million)
% 16.67/3.56 % (27503)------------------------------
% 16.67/3.56 % (27503)------------------------------
% 16.67/3.56 % (27498)Instruction limit reached!
% 16.67/3.56 % (27498)------------------------------
% 16.67/3.56 % (27498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.67/3.56 % (27498)Termination reason: Unknown
% 16.67/3.56 % (27498)Termination phase: Saturation
% 16.67/3.56
% 16.67/3.56 % (27498)Memory used [KB]: 7675
% 16.67/3.56 % (27498)Time elapsed: 0.161 s
% 16.67/3.56 % (27498)Instructions burned: 504 (million)
% 16.67/3.56 % (27498)------------------------------
% 16.67/3.56 % (27498)------------------------------
% 16.67/3.57 % (27504)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_27030 for (2977ds/1335Mi)
% 16.67/3.57 % (27505)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_27030 for (2977ds/3373Mi)
% 16.67/3.59 % (27502)Refutation not found, incomplete strategy
% 16.67/3.59 % (27502)------------------------------
% 16.67/3.59 % (27502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.67/3.59 % (27502)Termination reason: Refutation not found, incomplete strategy
% 16.67/3.59
% 16.67/3.59
% 16.67/3.59 % (27502)Memory used [KB]: 6140
% 16.67/3.59 % (27502)Time elapsed: 0.058 s
% 16.67/3.59 % (27502)Instructions burned: 192 (million)
% 16.67/3.59 % (27502)------------------------------
% 16.67/3.59 % (27502)------------------------------
% 17.09/3.60 % (27506)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_27030 for (2976ds/474Mi)
% 17.09/3.62 % (27504)Refutation not found, incomplete strategy
% 17.09/3.62 % (27504)------------------------------
% 17.09/3.62 % (27504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.09/3.62 % (27504)Termination reason: Refutation not found, incomplete strategy
% 17.09/3.62
% 17.09/3.62
% 17.09/3.62 % (27504)Memory used [KB]: 6140
% 17.09/3.62 % (27504)Time elapsed: 0.054 s
% 17.09/3.62 % (27504)Instructions burned: 170 (million)
% 17.09/3.62 % (27504)------------------------------
% 17.09/3.62 % (27504)------------------------------
% 17.09/3.63 % (27507)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_27030 for (2976ds/157Mi)
% 17.09/3.64 % (27499)Instruction limit reached!
% 17.09/3.64 % (27499)------------------------------
% 17.09/3.64 % (27499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.09/3.64 % (27499)Termination reason: Unknown
% 17.09/3.64 % (27499)Termination phase: Saturation
% 17.09/3.64
% 17.09/3.64 % (27499)Memory used [KB]: 7291
% 17.09/3.64 % (27499)Time elapsed: 0.188 s
% 17.09/3.64 % (27499)Instructions burned: 564 (million)
% 17.09/3.64 % (27499)------------------------------
% 17.09/3.64 % (27499)------------------------------
% 17.09/3.65 % (27508)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_27030 for (2976ds/590Mi)
% 17.09/3.67 % (27505)Refutation not found, incomplete strategy
% 17.09/3.67 % (27505)------------------------------
% 17.09/3.67 % (27505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.09/3.67 % (27505)Termination reason: Refutation not found, incomplete strategy
% 17.09/3.67
% 17.09/3.67
% 17.09/3.67 % (27505)Memory used [KB]: 6780
% 17.09/3.67 % (27505)Time elapsed: 0.096 s
% 17.09/3.67 % (27505)Instructions burned: 311 (million)
% 17.09/3.67 % (27505)------------------------------
% 17.09/3.67 % (27505)------------------------------
% 17.09/3.67 % (27507)Instruction limit reached!
% 17.09/3.67 % (27507)------------------------------
% 17.09/3.67 % (27507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.09/3.67 % (27507)Termination reason: Unknown
% 17.09/3.67 % (27507)Termination phase: Saturation
% 17.09/3.67
% 17.09/3.67 % (27507)Memory used [KB]: 6524
% 17.09/3.67 % (27507)Time elapsed: 0.043 s
% 17.09/3.67 % (27507)Instructions burned: 160 (million)
% 17.09/3.67 % (27507)------------------------------
% 17.09/3.67 % (27507)------------------------------
% 17.09/3.68 % (27509)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_27030 for (2975ds/104Mi)
% 17.09/3.68 % (27510)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_27030 for (2975ds/414Mi)
% 17.58/3.70 % (27491)Instruction limit reached!
% 17.58/3.70 % (27491)------------------------------
% 17.58/3.70 % (27491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.58/3.70 % (27491)Termination reason: Unknown
% 17.58/3.70 % (27491)Termination phase: Saturation
% 17.58/3.70
% 17.58/3.70 % (27491)Memory used [KB]: 8315
% 17.58/3.70 % (27491)Time elapsed: 0.471 s
% 17.58/3.70 % (27491)Instructions burned: 1764 (million)
% 17.58/3.70 % (27491)------------------------------
% 17.58/3.70 % (27491)------------------------------
% 17.58/3.71 % (27509)Instruction limit reached!
% 17.58/3.71 % (27509)------------------------------
% 17.58/3.71 % (27509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.58/3.71 % (27509)Termination reason: Unknown
% 17.58/3.71 % (27509)Termination phase: Saturation
% 17.58/3.71
% 17.58/3.71 % (27509)Memory used [KB]: 6012
% 17.58/3.71 % (27509)Time elapsed: 0.031 s
% 17.58/3.71 % (27509)Instructions burned: 104 (million)
% 17.58/3.71 % (27509)------------------------------
% 17.58/3.71 % (27509)------------------------------
% 17.58/3.71 % (27511)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_27030 for (2975ds/715Mi)
% 17.58/3.72 % (27512)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_27030 for (2975ds/961Mi)
% 17.58/3.74 % (27506)Instruction limit reached!
% 17.58/3.74 % (27506)------------------------------
% 17.58/3.74 % (27506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.58/3.74 % (27506)Termination reason: Unknown
% 17.58/3.74 % (27506)Termination phase: Saturation
% 17.58/3.74
% 17.58/3.74 % (27506)Memory used [KB]: 6780
% 17.58/3.74 % (27506)Time elapsed: 0.136 s
% 17.58/3.74 % (27506)Instructions burned: 474 (million)
% 17.58/3.74 % (27506)------------------------------
% 17.58/3.74 % (27506)------------------------------
% 17.58/3.75 % (27513)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_27030 for (2975ds/1213Mi)
% 17.58/3.75 % (27496)Instruction limit reached!
% 17.58/3.75 % (27496)------------------------------
% 17.58/3.75 % (27496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.58/3.75 % (27496)Termination reason: Unknown
% 17.58/3.75 % (27496)Termination phase: Saturation
% 17.58/3.75
% 17.58/3.75 % (27496)Memory used [KB]: 6780
% 17.58/3.75 % (27496)Time elapsed: 0.452 s
% 17.58/3.75 % (27496)Instructions burned: 1515 (million)
% 17.58/3.75 % (27496)------------------------------
% 17.58/3.75 % (27496)------------------------------
% 17.58/3.76 % (27514)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_27030 for (2975ds/1979Mi)
% 18.79/3.80 % (27510)Instruction limit reached!
% 18.79/3.80 % (27510)------------------------------
% 18.79/3.80 % (27510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.79/3.80 % (27510)Termination reason: Unknown
% 18.79/3.80 % (27510)Termination phase: Saturation
% 18.79/3.80
% 18.79/3.80 % (27510)Memory used [KB]: 6396
% 18.79/3.80 % (27510)Time elapsed: 0.119 s
% 18.79/3.80 % (27510)Instructions burned: 416 (million)
% 18.79/3.80 % (27510)------------------------------
% 18.79/3.80 % (27510)------------------------------
% 18.79/3.80 % (27512)Refutation not found, incomplete strategy
% 18.79/3.80 % (27512)------------------------------
% 18.79/3.80 % (27512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.79/3.80 % (27512)Termination reason: Refutation not found, incomplete strategy
% 18.79/3.80
% 18.79/3.80
% 18.79/3.80 % (27512)Memory used [KB]: 6396
% 18.79/3.80 % (27512)Time elapsed: 0.086 s
% 18.79/3.80 % (27512)Instructions burned: 275 (million)
% 18.79/3.80 % (27512)------------------------------
% 18.79/3.80 % (27512)------------------------------
% 18.79/3.81 % (27515)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_27030 for (2974ds/481Mi)
% 18.79/3.81 % (27516)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_27030 for (2974ds/783Mi)
% 18.79/3.82 % (27508)Instruction limit reached!
% 18.79/3.82 % (27508)------------------------------
% 18.79/3.82 % (27508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.79/3.82 % (27508)Termination reason: Unknown
% 18.79/3.82 % (27508)Termination phase: Saturation
% 18.79/3.82
% 18.79/3.82 % (27508)Memory used [KB]: 6524
% 18.79/3.82 % (27508)Time elapsed: 0.165 s
% 18.79/3.82 % (27508)Instructions burned: 591 (million)
% 18.79/3.82 % (27508)------------------------------
% 18.79/3.82 % (27508)------------------------------
% 18.79/3.83 % (27517)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_27030 for (2974ds/432Mi)
% 18.79/3.83 % (27476)Instruction limit reached!
% 18.79/3.83 % (27476)------------------------------
% 18.79/3.83 % (27476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.79/3.83 % (27476)Termination reason: Unknown
% 18.79/3.83 % (27476)Termination phase: Saturation
% 18.79/3.83
% 18.79/3.83 % (27476)Memory used [KB]: 7164
% 18.79/3.83 % (27476)Time elapsed: 1.297 s
% 18.79/3.83 % (27476)Instructions burned: 4715 (million)
% 18.79/3.83 % (27476)------------------------------
% 18.79/3.83 % (27476)------------------------------
% 18.79/3.84 % (27518)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_27030 for (2974ds/1670Mi)
% 19.25/3.91 % (27511)Instruction limit reached!
% 19.25/3.91 % (27511)------------------------------
% 19.25/3.91 % (27511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.25/3.91 % (27511)Termination reason: Unknown
% 19.25/3.91 % (27511)Termination phase: Saturation
% 19.25/3.91
% 19.25/3.91 % (27511)Memory used [KB]: 6396
% 19.25/3.91 % (27511)Time elapsed: 0.196 s
% 19.25/3.91 % (27511)Instructions burned: 717 (million)
% 19.25/3.91 % (27511)------------------------------
% 19.25/3.91 % (27511)------------------------------
% 19.25/3.92 % (27519)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_27030 for (2973ds/90Mi)
% 19.25/3.94 % (27515)Instruction limit reached!
% 19.25/3.94 % (27515)------------------------------
% 19.25/3.94 % (27515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.25/3.94 % (27515)Termination reason: Unknown
% 19.25/3.94 % (27515)Termination phase: Saturation
% 19.25/3.94
% 19.25/3.94 % (27515)Memory used [KB]: 6268
% 19.25/3.94 % (27515)Time elapsed: 0.135 s
% 19.25/3.94 % (27515)Instructions burned: 481 (million)
% 19.25/3.94 % (27515)------------------------------
% 19.25/3.94 % (27515)------------------------------
% 19.25/3.95 % (27519)Instruction limit reached!
% 19.25/3.95 % (27519)------------------------------
% 19.25/3.95 % (27519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.25/3.95 % (27519)Termination reason: Unknown
% 19.25/3.95 % (27519)Termination phase: Saturation
% 19.25/3.95
% 19.25/3.95 % (27519)Memory used [KB]: 6012
% 19.25/3.95 % (27519)Time elapsed: 0.029 s
% 19.25/3.95 % (27519)Instructions burned: 90 (million)
% 19.25/3.95 % (27519)------------------------------
% 19.25/3.95 % (27519)------------------------------
% 19.25/3.95 % (27517)Instruction limit reached!
% 19.25/3.95 % (27517)------------------------------
% 19.25/3.95 % (27517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.25/3.95 % (27517)Termination reason: Unknown
% 19.25/3.95 % (27517)Termination phase: Saturation
% 19.25/3.95
% 19.25/3.95 % (27517)Memory used [KB]: 6780
% 19.25/3.95 % (27517)Time elapsed: 0.126 s
% 19.25/3.95 % (27517)Instructions burned: 432 (million)
% 19.25/3.95 % (27517)------------------------------
% 19.25/3.95 % (27517)------------------------------
% 19.25/3.95 % (27520)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_27030 for (2973ds/346Mi)
% 19.25/3.96 % (27521)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_27030 for (2973ds/401Mi)
% 19.25/3.96 % (27522)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_27030 for (2973ds/6454Mi)
% 19.25/4.01 % (27522)Refutation not found, incomplete strategy
% 19.25/4.01 % (27522)------------------------------
% 19.25/4.01 % (27522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.25/4.01 % (27522)Termination reason: Refutation not found, incomplete strategy
% 19.25/4.01
% 19.25/4.01
% 19.25/4.01 % (27522)Memory used [KB]: 6140
% 19.25/4.01 % (27522)Time elapsed: 0.048 s
% 19.25/4.01 % (27522)Instructions burned: 151 (million)
% 19.25/4.01 % (27522)------------------------------
% 19.25/4.01 % (27522)------------------------------
% 19.25/4.02 % (27523)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_27030 for (2972ds/283Mi)
% 20.90/4.03 % (27516)Instruction limit reached!
% 20.90/4.03 % (27516)------------------------------
% 20.90/4.03 % (27516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.90/4.03 % (27516)Termination reason: Unknown
% 20.90/4.03 % (27516)Termination phase: Saturation
% 20.90/4.03
% 20.90/4.03 % (27516)Memory used [KB]: 7291
% 20.90/4.03 % (27516)Time elapsed: 0.220 s
% 20.90/4.03 % (27516)Instructions burned: 785 (million)
% 20.90/4.03 % (27516)------------------------------
% 20.90/4.03 % (27516)------------------------------
% 20.90/4.04 % (27524)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_27030 for (2972ds/865Mi)
% 20.90/4.05 % (27520)Instruction limit reached!
% 20.90/4.05 % (27520)------------------------------
% 20.90/4.05 % (27520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.90/4.05 % (27520)Termination reason: Unknown
% 20.90/4.05 % (27520)Termination phase: Saturation
% 20.90/4.05
% 20.90/4.05 % (27520)Memory used [KB]: 6524
% 20.90/4.05 % (27520)Time elapsed: 0.099 s
% 20.90/4.05 % (27520)Instructions burned: 348 (million)
% 20.90/4.05 % (27520)------------------------------
% 20.90/4.05 % (27520)------------------------------
% 20.90/4.06 % (27525)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_27030 for (2972ds/4528Mi)
% 20.90/4.07 % (27521)Instruction limit reached!
% 20.90/4.07 % (27521)------------------------------
% 20.90/4.07 % (27521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.90/4.07 % (27521)Termination reason: Unknown
% 20.90/4.07 % (27521)Termination phase: Saturation
% 20.90/4.07
% 20.90/4.07 % (27521)Memory used [KB]: 7803
% 20.90/4.07 % (27521)Time elapsed: 0.111 s
% 20.90/4.07 % (27521)Instructions burned: 403 (million)
% 20.90/4.07 % (27521)------------------------------
% 20.90/4.07 % (27521)------------------------------
% 20.90/4.07 % (27525)Refutation not found, incomplete strategy
% 20.90/4.07 % (27525)------------------------------
% 20.90/4.07 % (27525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.90/4.07 % (27525)Termination reason: Refutation not found, incomplete strategy
% 20.90/4.07
% 20.90/4.07
% 20.90/4.07 % (27525)Memory used [KB]: 1279
% 20.90/4.07 % (27525)Time elapsed: 0.037 s
% 20.90/4.07 % (27525)Instructions burned: 37 (million)
% 20.90/4.07 % (27525)------------------------------
% 20.90/4.07 % (27525)------------------------------
% 20.90/4.08 % (27526)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_27030 for (2972ds/1001Mi)
% 20.90/4.08 % (27527)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_27030 for (2971ds/102Mi)
% 20.90/4.08 % (27513)Instruction limit reached!
% 20.90/4.08 % (27513)------------------------------
% 20.90/4.08 % (27513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.90/4.08 % (27513)Termination reason: Unknown
% 20.90/4.08 % (27513)Termination phase: Saturation
% 20.90/4.08
% 20.90/4.08 % (27513)Memory used [KB]: 7419
% 20.90/4.08 % (27513)Time elapsed: 0.338 s
% 20.90/4.08 % (27513)Instructions burned: 1214 (million)
% 20.90/4.08 % (27513)------------------------------
% 20.90/4.08 % (27513)------------------------------
% 20.90/4.09 % (27527)Refutation not found, incomplete strategy
% 20.90/4.09 % (27527)------------------------------
% 20.90/4.09 % (27527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.90/4.09 % (27527)Termination reason: Refutation not found, incomplete strategy
% 20.90/4.09
% 20.90/4.09
% 20.90/4.09 % (27527)Memory used [KB]: 5628
% 20.90/4.09 % (27527)Time elapsed: 0.006 s
% 20.90/4.09 % (27527)Instructions burned: 16 (million)
% 20.90/4.09 % (27527)------------------------------
% 20.90/4.09 % (27527)------------------------------
% 20.90/4.09 % (27528)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_27030 for (2971ds/952Mi)
% 20.90/4.10 % (27529)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_27030 for (2971ds/578Mi)
% 20.90/4.10 % (27523)Instruction limit reached!
% 20.90/4.10 % (27523)------------------------------
% 20.90/4.10 % (27523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.90/4.10 % (27523)Termination reason: Unknown
% 20.90/4.10 % (27523)Termination phase: Saturation
% 20.90/4.10
% 20.90/4.10 % (27523)Memory used [KB]: 6652
% 20.90/4.10 % (27523)Time elapsed: 0.104 s
% 20.90/4.10 % (27523)Instructions burned: 284 (million)
% 20.90/4.10 % (27523)------------------------------
% 20.90/4.10 % (27523)------------------------------
% 20.90/4.11 % (27530)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_27030 for (2971ds/643Mi)
% 21.54/4.25 % (27529)Instruction limit reached!
% 21.54/4.25 % (27529)------------------------------
% 21.54/4.25 % (27529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.54/4.25 % (27529)Termination reason: Unknown
% 21.54/4.25 % (27529)Termination phase: Saturation
% 21.54/4.25
% 21.54/4.25 % (27529)Memory used [KB]: 6652
% 21.54/4.25 % (27529)Time elapsed: 0.151 s
% 21.54/4.25 % (27529)Instructions burned: 578 (million)
% 21.54/4.25 % (27529)------------------------------
% 21.54/4.25 % (27529)------------------------------
% 21.54/4.26 % (27531)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_27030 for (2970ds/865Mi)
% 21.54/4.29 % (27518)Instruction limit reached!
% 21.54/4.29 % (27518)------------------------------
% 21.54/4.29 % (27518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.54/4.29 % (27518)Termination reason: Unknown
% 21.54/4.29 % (27518)Termination phase: Saturation
% 21.54/4.29
% 21.54/4.29 % (27518)Memory used [KB]: 6140
% 21.54/4.29 % (27518)Time elapsed: 0.447 s
% 21.54/4.29 % (27518)Instructions burned: 1670 (million)
% 21.54/4.29 % (27518)------------------------------
% 21.54/4.29 % (27518)------------------------------
% 21.54/4.29 % (27530)Instruction limit reached!
% 21.54/4.29 % (27530)------------------------------
% 21.54/4.29 % (27530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.54/4.29 % (27530)Termination reason: Unknown
% 21.54/4.29 % (27530)Termination phase: Saturation
% 21.54/4.29
% 21.54/4.29 % (27530)Memory used [KB]: 7036
% 21.54/4.29 % (27530)Time elapsed: 0.183 s
% 21.54/4.29 % (27530)Instructions burned: 645 (million)
% 21.54/4.29 % (27530)------------------------------
% 21.54/4.29 % (27530)------------------------------
% 21.54/4.30 % (27532)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_27030 for (2969ds/1174Mi)
% 21.54/4.30 % (27524)Instruction limit reached!
% 21.54/4.30 % (27524)------------------------------
% 21.54/4.30 % (27524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.54/4.30 % (27524)Termination reason: Unknown
% 21.54/4.30 % (27524)Termination phase: Saturation
% 21.54/4.30
% 21.54/4.30 % (27524)Memory used [KB]: 6908
% 21.54/4.30 % (27524)Time elapsed: 0.278 s
% 21.54/4.30 % (27524)Instructions burned: 867 (million)
% 21.54/4.30 % (27524)------------------------------
% 21.54/4.30 % (27524)------------------------------
% 22.36/4.30 % (27533)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_27030 for (2969ds/644Mi)
% 22.36/4.31 % (27534)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_27030 for (2969ds/1201Mi)
% 22.36/4.32 % (27514)Instruction limit reached!
% 22.36/4.32 % (27514)------------------------------
% 22.36/4.32 % (27514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.36/4.32 % (27514)Termination reason: Unknown
% 22.36/4.32 % (27514)Termination phase: Saturation
% 22.36/4.32
% 22.36/4.32 % (27514)Memory used [KB]: 7036
% 22.36/4.32 % (27514)Time elapsed: 0.562 s
% 22.36/4.32 % (27514)Instructions burned: 1980 (million)
% 22.36/4.32 % (27514)------------------------------
% 22.36/4.32 % (27514)------------------------------
% 22.36/4.33 % (27535)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_27030 for (2969ds/1046Mi)
% 22.36/4.34 % (27532)Refutation not found, incomplete strategy
% 22.36/4.34 % (27532)------------------------------
% 22.36/4.34 % (27532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.36/4.34 % (27532)Termination reason: Refutation not found, incomplete strategy
% 22.36/4.34
% 22.36/4.34
% 22.36/4.34 % (27532)Memory used [KB]: 6140
% 22.36/4.34 % (27532)Time elapsed: 0.042 s
% 22.36/4.34 % (27532)Instructions burned: 138 (million)
% 22.36/4.34 % (27532)------------------------------
% 22.36/4.34 % (27532)------------------------------
% 22.36/4.35 % (27536)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_27030 for (2969ds/222Mi)
% 22.36/4.35 % (27526)Instruction limit reached!
% 22.36/4.35 % (27526)------------------------------
% 22.36/4.35 % (27526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.36/4.35 % (27526)Termination reason: Unknown
% 22.36/4.35 % (27526)Termination phase: Saturation
% 22.36/4.35
% 22.36/4.35 % (27526)Memory used [KB]: 8955
% 22.36/4.35 % (27526)Time elapsed: 0.277 s
% 22.36/4.35 % (27526)Instructions burned: 1004 (million)
% 22.36/4.35 % (27526)------------------------------
% 22.36/4.35 % (27526)------------------------------
% 22.36/4.36 % (27528)Instruction limit reached!
% 22.36/4.36 % (27528)------------------------------
% 22.36/4.36 % (27528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.36/4.36 % (27528)Termination reason: Unknown
% 22.36/4.36 % (27528)Termination phase: Saturation
% 22.36/4.36
% 22.36/4.36 % (27528)Memory used [KB]: 8059
% 22.36/4.36 % (27528)Time elapsed: 0.265 s
% 22.36/4.36 % (27528)Instructions burned: 952 (million)
% 22.36/4.36 % (27528)------------------------------
% 22.36/4.36 % (27528)------------------------------
% 22.36/4.36 % (27537)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=68:si=on:rtra=on_0 on DTF2THF_27030 for (2969ds/68Mi)
% 22.36/4.37 % (27538)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_27030 for (2969ds/454Mi)
% 22.36/4.37 % (27534)First to succeed.
% 22.36/4.38 % (27534)Refutation found. Thanks to Tanya!
% 22.36/4.38 % SZS status Theorem for DTF2THF_27030
% 22.36/4.38 % SZS output start Proof for DTF2THF_27030
% 22.36/4.38 thf(func_def_3, type, sP0: (($o > $o) > ($o > $o) > $o) > $o).
% 22.36/4.38 thf(func_def_4, type, sK1: (($o > $o) > ($o > $o) > $o) > $o > $o).
% 22.36/4.38 thf(func_def_5, type, sK2: (($o > $o) > ($o > $o) > $o) > $o > $o).
% 22.36/4.38 thf(func_def_6, type, sK3: (($o > $o) > ($o > $o) > $o) > $o > $o).
% 22.36/4.38 thf(func_def_7, type, sK4: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o).
% 22.36/4.38 thf(func_def_8, type, sK5: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o).
% 22.36/4.38 thf(func_def_9, type, sK6: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o).
% 22.36/4.38 thf(func_def_10, type, sK7: (($o > $o) > ($o > $o) > $o) > $o > $o).
% 22.36/4.38 thf(func_def_11, type, sK8: (($o > $o) > ($o > $o) > $o) > $o > $o).
% 22.36/4.38 thf(func_def_12, type, sK9: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o).
% 22.36/4.38 thf(func_def_13, type, sK10: (($o > $o) > ($o > $o) > $o) > $o > $o).
% 22.36/4.38 thf(func_def_14, type, sK11: (($o > $o) > ($o > $o) > $o) > $o > $o).
% 22.36/4.38 thf(func_def_15, type, sK12: (($o > $o) > ($o > $o) > $o) > ($o > $o) > $o).
% 22.36/4.38 thf(func_def_16, type, sK13: (($o > $o) > ($o > $o) > $o) > $o > $o).
% 22.36/4.38 thf(func_def_17, type, sK14: (($o > $o) > ($o > $o) > $o) > $o > $o).
% 22.36/4.38 thf(func_def_20, type, ph16: !>[X0: $tType]:(X0)).
% 22.36/4.38 thf(f1631,plain,(
% 22.36/4.38 $false),
% 22.36/4.38 inference(avatar_sat_refutation,[status(thm)],[f96,f633,f671,f680,f693,f702,f705,f808,f822,f839,f854,f886,f893,f911,f916,f921,f926,f931,f932,f937,f944,f949,f954,f960,f1021,f1065,f1068,f1072,f1079,f1084,f1095,f1098,f1106,f1111,f1139,f1157,f1165,f1174,f1177,f1199,f1202,f1218,f1227,f1230,f1250,f1255,f1264,f1269,f1275,f1278,f1291,f1295,f1308,f1329,f1335,f1336,f1351,f1356,f1361,f1366,f1373,f1386,f1389,f1393,f1399,f1410,f1415,f1420,f1432,f1435,f1438,f1443,f1456,f1466,f1475,f1481,f1494,f1498,f1507,f1515,f1519,f1536,f1540,f1545,f1550,f1559,f1562,f1569,f1574,f1578,f1582,f1585,f1589,f1591,f1593,f1597,f1602,f1607,f1610,f1619,f1627])).
% 22.36/4.38 thf(f1627,plain,(
% 22.36/4.38 ~spl15_32 | ~spl15_37 | spl15_59 | ~spl15_68),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1626])).
% 22.36/4.38 thf(f1626,plain,(
% 22.36/4.38 $false | (~spl15_32 | ~spl15_37 | spl15_59 | ~spl15_68)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1625])).
% 22.36/4.38 thf(f1625,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_32 | ~spl15_37 | spl15_59 | ~spl15_68)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1624,f736])).
% 22.36/4.38 thf(f736,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_37),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f734])).
% 22.36/4.38 thf(f734,definition,(
% 22.36/4.38 spl15_37 <=> ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_37])],[avatar_definition])).
% 22.36/4.38 thf(f1624,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_32 | spl15_59 | ~spl15_68)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1623])).
% 22.36/4.38 thf(f1623,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_32 | spl15_59 | ~spl15_68)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1622,f1170])).
% 22.36/4.38 thf(f1170,plain,(
% 22.36/4.38 ($false = sK33) | ~spl15_68),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1168])).
% 22.36/4.38 thf(f1168,definition,(
% 22.36/4.38 spl15_68 <=> ($false = sK33)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_68])],[avatar_definition])).
% 22.36/4.38 thf(f1622,plain,(
% 22.36/4.38 (sK33 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_32 | spl15_59)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1621])).
% 22.36/4.38 thf(f1621,plain,(
% 22.36/4.38 (sK33 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_32 | spl15_59)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1118,f701])).
% 22.36/4.38 thf(f701,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_32),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f699])).
% 22.36/4.38 thf(f699,definition,(
% 22.36/4.38 spl15_32 <=> ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_32])],[avatar_definition])).
% 22.36/4.38 thf(f1118,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK33 = $true) | spl15_59),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1117])).
% 22.36/4.38 thf(f1117,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK33 = $true) | spl15_59),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1115])).
% 22.36/4.38 thf(f1115,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK33) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK33)) | spl15_59),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f953])).
% 22.36/4.38 thf(f953,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_59),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f951])).
% 22.36/4.38 thf(f951,definition,(
% 22.36/4.38 spl15_59 <=> ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_59])],[avatar_definition])).
% 22.36/4.38 thf(f1619,plain,(
% 22.36/4.38 spl15_74 | ~spl15_31 | ~spl15_37 | spl15_54),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1618,f918,f734,f695,f1281])).
% 22.36/4.38 thf(f1281,definition,(
% 22.36/4.38 spl15_74 <=> (sK29 = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_74])],[avatar_definition])).
% 22.36/4.38 thf(f695,definition,(
% 22.36/4.38 spl15_31 <=> ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_31])],[avatar_definition])).
% 22.36/4.38 thf(f918,definition,(
% 22.36/4.38 spl15_54 <=> ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_54])],[avatar_definition])).
% 22.36/4.38 thf(f1618,plain,(
% 22.36/4.38 (sK29 = $true) | (~spl15_31 | ~spl15_37 | spl15_54)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1617])).
% 22.36/4.38 thf(f1617,plain,(
% 22.36/4.38 (sK29 = $true) | ($false = $true) | (~spl15_31 | ~spl15_37 | spl15_54)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1616,f736])).
% 22.36/4.38 thf(f1616,plain,(
% 22.36/4.38 (sK29 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_31 | spl15_54)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1615])).
% 22.36/4.38 thf(f1615,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK29 = $true) | ($false = $true) | (~spl15_31 | spl15_54)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1009,f697])).
% 22.36/4.38 thf(f697,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_31),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f695])).
% 22.36/4.38 thf(f1009,plain,(
% 22.36/4.38 (sK29 = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_54),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1008])).
% 22.36/4.38 thf(f1008,plain,(
% 22.36/4.38 (sK29 = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_54),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1006])).
% 22.36/4.38 thf(f1006,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK29) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK29)) | spl15_54),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f920])).
% 22.36/4.38 thf(f920,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_54),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f918])).
% 22.36/4.38 thf(f1610,plain,(
% 22.36/4.38 spl15_33 | spl15_60 | ~spl15_26 | spl15_54),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1609,f918,f673,f1015,f716])).
% 22.36/4.38 thf(f716,definition,(
% 22.36/4.38 spl15_33 <=> ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_33])],[avatar_definition])).
% 22.36/4.38 thf(f1015,definition,(
% 22.36/4.38 spl15_60 <=> ($false = sK29)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_60])],[avatar_definition])).
% 22.36/4.38 thf(f673,definition,(
% 22.36/4.38 spl15_26 <=> ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_26])],[avatar_definition])).
% 22.36/4.38 thf(f1609,plain,(
% 22.36/4.38 ($false = sK29) | ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_26 | spl15_54)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1608])).
% 22.36/4.38 thf(f1608,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = $true) | ($false = sK29) | (~spl15_26 | spl15_54)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1011,f675])).
% 22.36/4.38 thf(f675,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_26),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f673])).
% 22.36/4.38 thf(f1011,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK29) | spl15_54),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1007])).
% 22.36/4.38 thf(f1007,plain,(
% 22.36/4.38 ($false = sK29) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_54),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1006])).
% 22.36/4.38 thf(f1607,plain,(
% 22.36/4.38 spl15_45 | spl15_38 | spl15_56 | spl15_67),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1606,f1159,f928,f752,f805])).
% 22.36/4.38 thf(f805,definition,(
% 22.36/4.38 spl15_45 <=> ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_45])],[avatar_definition])).
% 22.36/4.38 thf(f752,definition,(
% 22.36/4.38 spl15_38 <=> ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_38])],[avatar_definition])).
% 22.36/4.38 thf(f928,definition,(
% 22.36/4.38 spl15_56 <=> ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_56])],[avatar_definition])).
% 22.36/4.38 thf(f1159,definition,(
% 22.36/4.38 spl15_67 <=> ($false = sK31)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_67])],[avatar_definition])).
% 22.36/4.38 thf(f1606,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_38 | spl15_56 | spl15_67)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1605,f753])).
% 22.36/4.38 thf(f753,plain,(
% 22.36/4.38 ($false != (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_38),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f752])).
% 22.36/4.38 thf(f1605,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_56 | spl15_67)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1047,f1160])).
% 22.36/4.38 thf(f1160,plain,(
% 22.36/4.38 ($false != sK31) | spl15_67),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1159])).
% 22.36/4.38 thf(f1047,plain,(
% 22.36/4.38 ($false = sK31) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_56),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1042])).
% 22.36/4.38 thf(f1042,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK31) | spl15_56),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1041])).
% 22.36/4.38 thf(f1041,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK31) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK31)) | spl15_56),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f930])).
% 22.36/4.38 thf(f930,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_56),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f928])).
% 22.36/4.38 thf(f1602,plain,(
% 22.36/4.38 spl15_71 | spl15_26 | spl15_45 | spl15_53),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1601,f913,f805,f673,f1207])).
% 22.36/4.38 thf(f1207,definition,(
% 22.36/4.38 spl15_71 <=> ($false = sK28)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_71])],[avatar_definition])).
% 22.36/4.38 thf(f913,definition,(
% 22.36/4.38 spl15_53 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_53])],[avatar_definition])).
% 22.36/4.38 thf(f1601,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK28) | (spl15_45 | spl15_53)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1004,f806])).
% 22.36/4.38 thf(f806,plain,(
% 22.36/4.38 ($false != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_45),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f805])).
% 22.36/4.38 thf(f1004,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK28) | spl15_53),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f999])).
% 22.36/4.38 thf(f999,plain,(
% 22.36/4.38 ($false = sK28) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_53),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f998])).
% 22.36/4.38 thf(f998,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK28) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK28)) | spl15_53),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f915])).
% 22.36/4.38 thf(f915,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_53),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f913])).
% 22.36/4.38 thf(f1597,plain,(
% 22.36/4.38 spl15_40 | ~spl15_4 | ~spl15_32 | spl15_78),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1596,f1396,f699,f93,f761])).
% 22.36/4.38 thf(f761,definition,(
% 22.36/4.38 spl15_40 <=> ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_40])],[avatar_definition])).
% 22.36/4.38 thf(f93,definition,(
% 22.36/4.38 spl15_4 <=> ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_4])],[avatar_definition])).
% 22.36/4.38 thf(f1396,definition,(
% 22.36/4.38 spl15_78 <=> (sK36 = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_78])],[avatar_definition])).
% 22.36/4.38 thf(f1596,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_32 | spl15_78)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1595])).
% 22.36/4.38 thf(f1595,plain,(
% 22.36/4.38 ($false = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_32 | spl15_78)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1594,f701])).
% 22.36/4.38 thf(f1594,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | spl15_78)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1341,f1397])).
% 22.36/4.38 thf(f1397,plain,(
% 22.36/4.38 (sK36 != $true) | spl15_78),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1396])).
% 22.36/4.38 thf(f1341,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK36 = $true) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1340])).
% 22.36/4.38 thf(f1340,plain,(
% 22.36/4.38 (sK36 = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1338])).
% 22.36/4.38 thf(f1338,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK36) != (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK36)) | ~spl15_4),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f957])).
% 22.36/4.38 thf(f957,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_4),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f182,f94])).
% 22.36/4.38 thf(f94,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_4),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f93])).
% 22.36/4.38 thf(f182,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f181])).
% 22.36/4.38 thf(f181,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f169])).
% 22.36/4.38 thf(f169,plain,(
% 22.36/4.38 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f35])).
% 22.36/4.38 thf(f35,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (($true != (X0 @ (sK3 @ X0) @ (sK8 @ X0))) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 thf(f14,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : ((((sK4 @ X0 @ (sK1 @ X0)) != $true) & ((sK9 @ X0 @ (sK2 @ X0)) != $true) & ($true = (sK4 @ X0 @ (sK7 @ X0))) & ((X0 @ (sK3 @ X0) @ (sK7 @ X0)) != $true) & ((sK6 @ X0 @ (sK2 @ X0)) != $true) & ((sK5 @ X0 @ (sK8 @ X0)) != $true) & ($true != (X0 @ (sK1 @ X0) @ (sK2 @ X0))) & ((sK6 @ X0 @ (sK3 @ X0)) != $true) & ($true != (X0 @ (sK1 @ X0) @ (sK8 @ X0))) & ($true != (X0 @ (sK2 @ X0) @ (sK3 @ X0))) & ((sK4 @ X0 @ (sK8 @ X0)) != $true) & ((X0 @ (sK1 @ X0) @ (sK7 @ X0)) != $true) & ((sK5 @ X0 @ (sK7 @ X0)) != $true) & ($true != (X0 @ (sK3 @ X0) @ (sK8 @ X0))) & ((X0 @ (sK2 @ X0) @ (sK7 @ X0)) != $true) & ($true != (sK4 @ X0 @ (sK3 @ X0))) & ((sK5 @ X0 @ (sK2 @ X0)) = $true) & ((X0 @ (sK7 @ X0) @ (sK8 @ X0)) != $true) & ((sK9 @ X0 @ (sK3 @ X0)) = $true) & ((X0 @ (sK2 @ X0) @ (sK8 @ X0)) != $true) & ($true != (sK5 @ X0 @ (sK3 @ X0))) & ((X0 @ (sK1 @ X0) @ (sK3 @ X0)) != $true) & ($true != (sK4 @ X0 @ (sK2 @ X0))) & ((sK9 @ X0 @ (sK8 @ X0)) != $true) & ((sK5 @ X0 @ (sK1 @ X0)) != $true) & ((sK6 @ X0 @ (sK8 @ X0)) = $true) & ((sK6 @ X0 @ (sK7 @ X0)) != $true) & ((sK6 @ X0 @ (sK1 @ X0)) != $true) & ((sK9 @ X0 @ (sK7 @ X0)) != $true) & ((sK9 @ X0 @ (sK1 @ X0)) != $true)) | ((sP0 @ X0) != $true))),
% 22.36/4.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f12,f13])).
% 22.36/4.38 thf(f13,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X1 : $o > $o,X2 : $o > $o,X3 : $o > $o,X4 : ($o > $o) > $o,X5 : ($o > $o) > $o,X6 : ($o > $o) > $o,X7 : $o > $o,X8 : $o > $o,X9 : ($o > $o) > $o] : (((X4 @ X1) != $true) & ((X9 @ X2) != $true) & ((X4 @ X7) = $true) & ($true != (X0 @ X3 @ X7)) & ((X6 @ X2) != $true) & ((X5 @ X8) != $true) & ((X0 @ X1 @ X2) != $true) & ((X6 @ X3) != $true) & ((X0 @ X1 @ X8) != $true) & ((X0 @ X2 @ X3) != $true) & ((X4 @ X8) != $true) & ($true != (X0 @ X1 @ X7)) & ((X5 @ X7) != $true) & ($true != (X0 @ X3 @ X8)) & ((X0 @ X2 @ X7) != $true) & ((X4 @ X3) != $true) & ((X5 @ X2) = $true) & ((X0 @ X7 @ X8) != $true) & ((X9 @ X3) = $true) & ($true != (X0 @ X2 @ X8)) & ((X5 @ X3) != $true) & ((X0 @ X1 @ X3) != $true) & ((X4 @ X2) != $true) & ((X9 @ X8) != $true) & ($true != (X5 @ X1)) & ($true = (X6 @ X8)) & ((X6 @ X7) != $true) & ((X6 @ X1) != $true) & ((X9 @ X7) != $true) & ($true != (X9 @ X1))) => (((sK4 @ X0 @ (sK1 @ X0)) != $true) & ((sK9 @ X0 @ (sK2 @ X0)) != $true) & ($true = (sK4 @ X0 @ (sK7 @ X0))) & ((X0 @ (sK3 @ X0) @ (sK7 @ X0)) != $true) & ((sK6 @ X0 @ (sK2 @ X0)) != $true) & ((sK5 @ X0 @ (sK8 @ X0)) != $true) & ($true != (X0 @ (sK1 @ X0) @ (sK2 @ X0))) & ((sK6 @ X0 @ (sK3 @ X0)) != $true) & ($true != (X0 @ (sK1 @ X0) @ (sK8 @ X0))) & ($true != (X0 @ (sK2 @ X0) @ (sK3 @ X0))) & ((sK4 @ X0 @ (sK8 @ X0)) != $true) & ((X0 @ (sK1 @ X0) @ (sK7 @ X0)) != $true) & ((sK5 @ X0 @ (sK7 @ X0)) != $true) & ($true != (X0 @ (sK3 @ X0) @ (sK8 @ X0))) & ((X0 @ (sK2 @ X0) @ (sK7 @ X0)) != $true) & ($true != (sK4 @ X0 @ (sK3 @ X0))) & ((sK5 @ X0 @ (sK2 @ X0)) = $true) & ((X0 @ (sK7 @ X0) @ (sK8 @ X0)) != $true) & ((sK9 @ X0 @ (sK3 @ X0)) = $true) & ((X0 @ (sK2 @ X0) @ (sK8 @ X0)) != $true) & ($true != (sK5 @ X0 @ (sK3 @ X0))) & ((X0 @ (sK1 @ X0) @ (sK3 @ X0)) != $true) & ($true != (sK4 @ X0 @ (sK2 @ X0))) & ((sK9 @ X0 @ (sK8 @ X0)) != $true) & ((sK5 @ X0 @ (sK1 @ X0)) != $true) & ((sK6 @ X0 @ (sK8 @ X0)) = $true) & ((sK6 @ X0 @ (sK7 @ X0)) != $true) & ((sK6 @ X0 @ (sK1 @ X0)) != $true) & ((sK9 @ X0 @ (sK7 @ X0)) != $true) & ((sK9 @ X0 @ (sK1 @ X0)) != $true)))),
% 22.36/4.38 introduced(definition,[],[choice_axiom])).
% 22.36/4.38 thf(f12,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X1 : $o > $o,X2 : $o > $o,X3 : $o > $o,X4 : ($o > $o) > $o,X5 : ($o > $o) > $o,X6 : ($o > $o) > $o,X7 : $o > $o,X8 : $o > $o,X9 : ($o > $o) > $o] : (((X4 @ X1) != $true) & ((X9 @ X2) != $true) & ((X4 @ X7) = $true) & ($true != (X0 @ X3 @ X7)) & ((X6 @ X2) != $true) & ((X5 @ X8) != $true) & ((X0 @ X1 @ X2) != $true) & ((X6 @ X3) != $true) & ((X0 @ X1 @ X8) != $true) & ((X0 @ X2 @ X3) != $true) & ((X4 @ X8) != $true) & ($true != (X0 @ X1 @ X7)) & ((X5 @ X7) != $true) & ($true != (X0 @ X3 @ X8)) & ((X0 @ X2 @ X7) != $true) & ((X4 @ X3) != $true) & ((X5 @ X2) = $true) & ((X0 @ X7 @ X8) != $true) & ((X9 @ X3) = $true) & ($true != (X0 @ X2 @ X8)) & ((X5 @ X3) != $true) & ((X0 @ X1 @ X3) != $true) & ((X4 @ X2) != $true) & ((X9 @ X8) != $true) & ($true != (X5 @ X1)) & ($true = (X6 @ X8)) & ((X6 @ X7) != $true) & ((X6 @ X1) != $true) & ((X9 @ X7) != $true) & ($true != (X9 @ X1))) | ((sP0 @ X0) != $true))),
% 22.36/4.38 inference(rectify,[status(thm)],[f11])).
% 22.36/4.38 thf(f11,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X7 : $o > $o,X8 : $o > $o,X11 : $o > $o,X9 : ($o > $o) > $o,X12 : ($o > $o) > $o,X4 : ($o > $o) > $o,X6 : $o > $o,X10 : $o > $o,X5 : ($o > $o) > $o] : (((X9 @ X7) != $true) & ((X5 @ X8) != $true) & ((X9 @ X6) = $true) & ($true != (X0 @ X11 @ X6)) & ((X4 @ X8) != $true) & ((X12 @ X10) != $true) & ((X0 @ X7 @ X8) != $true) & ((X4 @ X11) != $true) & ((X0 @ X7 @ X10) != $true) & ((X0 @ X8 @ X11) != $true) & ((X9 @ X10) != $true) & ((X0 @ X7 @ X6) != $true) & ((X12 @ X6) != $true) & ((X0 @ X11 @ X10) != $true) & ((X0 @ X8 @ X6) != $true) & ((X9 @ X11) != $true) & ($true = (X12 @ X8)) & ((X0 @ X6 @ X10) != $true) & ((X5 @ X11) = $true) & ((X0 @ X8 @ X10) != $true) & ((X12 @ X11) != $true) & ($true != (X0 @ X7 @ X11)) & ((X9 @ X8) != $true) & ((X5 @ X10) != $true) & ((X12 @ X7) != $true) & ($true = (X4 @ X10)) & ((X4 @ X6) != $true) & ((X4 @ X7) != $true) & ((X5 @ X6) != $true) & ((X5 @ X7) != $true)) | ((sP0 @ X0) != $true))),
% 22.36/4.38 inference(nnf_transformation,[status(thm)],[f9])).
% 22.36/4.38 thf(f9,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X7 : $o > $o,X8 : $o > $o,X11 : $o > $o,X9 : ($o > $o) > $o,X12 : ($o > $o) > $o,X4 : ($o > $o) > $o,X6 : $o > $o,X10 : $o > $o,X5 : ($o > $o) > $o] : (((X9 @ X7) != $true) & ((X5 @ X8) != $true) & ((X9 @ X6) = $true) & ($true != (X0 @ X11 @ X6)) & ((X4 @ X8) != $true) & ((X12 @ X10) != $true) & ((X0 @ X7 @ X8) != $true) & ((X4 @ X11) != $true) & ((X0 @ X7 @ X10) != $true) & ((X0 @ X8 @ X11) != $true) & ((X9 @ X10) != $true) & ((X0 @ X7 @ X6) != $true) & ((X12 @ X6) != $true) & ((X0 @ X11 @ X10) != $true) & ((X0 @ X8 @ X6) != $true) & ((X9 @ X11) != $true) & ($true = (X12 @ X8)) & ((X0 @ X6 @ X10) != $true) & ((X5 @ X11) = $true) & ((X0 @ X8 @ X10) != $true) & ((X12 @ X11) != $true) & ($true != (X0 @ X7 @ X11)) & ((X9 @ X8) != $true) & ((X5 @ X10) != $true) & ((X12 @ X7) != $true) & ($true = (X4 @ X10)) & ((X4 @ X6) != $true) & ((X4 @ X7) != $true) & ((X5 @ X6) != $true) & ((X5 @ X7) != $true)) | ~((sP0 @ X0) = $true))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 22.36/4.38 thf(f1593,plain,(
% 22.36/4.38 spl15_51 | spl15_45 | ~spl15_4 | spl15_77),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1592,f1380,f93,f805,f883])).
% 22.36/4.38 thf(f883,definition,(
% 22.36/4.38 spl15_51 <=> ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_51])],[avatar_definition])).
% 22.36/4.38 thf(f1380,definition,(
% 22.36/4.38 spl15_77 <=> ($false = sK35)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_77])],[avatar_definition])).
% 22.36/4.38 thf(f1592,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_4 | spl15_77)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1318,f1381])).
% 22.36/4.38 thf(f1381,plain,(
% 22.36/4.38 ($false != sK35) | spl15_77),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1380])).
% 22.36/4.38 thf(f1318,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK35) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1313])).
% 22.36/4.38 thf(f1313,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK35) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1312])).
% 22.36/4.38 thf(f1312,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK35) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK35)) | ~spl15_4),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f956])).
% 22.36/4.38 thf(f956,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_4),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f168,f94])).
% 22.36/4.38 thf(f168,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f167])).
% 22.36/4.38 thf(f167,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f145])).
% 22.36/4.38 thf(f145,plain,(
% 22.36/4.38 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f34])).
% 22.36/4.38 thf(f34,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK2 @ X0) @ (sK7 @ X0)) != $true) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 thf(f1591,plain,(
% 22.36/4.38 spl15_26 | spl15_73 | spl15_38 | spl15_58),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1590,f946,f752,f1236,f673])).
% 22.36/4.38 thf(f1236,definition,(
% 22.36/4.38 spl15_73 <=> ($false = sK32)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_73])],[avatar_definition])).
% 22.36/4.38 thf(f946,definition,(
% 22.36/4.38 spl15_58 <=> ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_58])],[avatar_definition])).
% 22.36/4.38 thf(f1590,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK32) | (spl15_38 | spl15_58)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1058,f753])).
% 22.36/4.38 thf(f1058,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK32) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_58),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1053])).
% 22.36/4.38 thf(f1053,plain,(
% 22.36/4.38 ($false = sK32) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_58),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1052])).
% 22.36/4.38 thf(f1052,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK32) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK32)) | spl15_58),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f948])).
% 22.36/4.38 thf(f948,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_58),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f946])).
% 22.36/4.38 thf(f1589,plain,(
% 22.36/4.38 spl15_69 | spl15_23 | spl15_71 | spl15_53),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1003,f913,f1207,f660,f1187])).
% 22.36/4.38 thf(f1187,definition,(
% 22.36/4.38 spl15_69 <=> ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_69])],[avatar_definition])).
% 22.36/4.38 thf(f660,definition,(
% 22.36/4.38 spl15_23 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_23])],[avatar_definition])).
% 22.36/4.38 thf(f1003,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK28) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | spl15_53),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f999])).
% 22.36/4.38 thf(f1585,plain,(
% 22.36/4.38 spl15_62 | spl15_40 | ~spl15_31 | spl15_58),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1584,f946,f695,f761,f1062])).
% 22.36/4.38 thf(f1062,definition,(
% 22.36/4.38 spl15_62 <=> (sK32 = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_62])],[avatar_definition])).
% 22.36/4.38 thf(f1584,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK32 = $true) | (~spl15_31 | spl15_58)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1583])).
% 22.36/4.38 thf(f1583,plain,(
% 22.36/4.38 (sK32 = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_31 | spl15_58)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1055,f697])).
% 22.36/4.38 thf(f1055,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK32 = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_58),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1054])).
% 22.36/4.38 thf(f1054,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK32 = $true) | spl15_58),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1052])).
% 22.36/4.38 thf(f1582,plain,(
% 22.36/4.38 ~spl15_4 | spl15_33 | ~spl15_45 | spl15_77),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1581])).
% 22.36/4.38 thf(f1581,plain,(
% 22.36/4.38 $false | (~spl15_4 | spl15_33 | ~spl15_45 | spl15_77)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1580,f1381])).
% 22.36/4.38 thf(f1580,plain,(
% 22.36/4.38 ($false = sK35) | (~spl15_4 | spl15_33 | ~spl15_45)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1542,f717])).
% 22.36/4.38 thf(f717,plain,(
% 22.36/4.38 ($true != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_33),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f716])).
% 22.36/4.38 thf(f1542,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK35) | (~spl15_4 | ~spl15_45)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1541])).
% 22.36/4.38 thf(f1541,plain,(
% 22.36/4.38 ($false = sK35) | ($false = $true) | ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_4 | ~spl15_45)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1317,f807])).
% 22.36/4.38 thf(f807,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_45),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f805])).
% 22.36/4.38 thf(f1317,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK35) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1313])).
% 22.36/4.38 thf(f1578,plain,(
% 22.36/4.38 ~spl15_4 | spl15_38 | spl15_51 | spl15_66),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1577])).
% 22.36/4.38 thf(f1577,plain,(
% 22.36/4.38 $false | (~spl15_4 | spl15_38 | spl15_51 | spl15_66)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1576,f884])).
% 22.36/4.38 thf(f884,plain,(
% 22.36/4.38 ($false != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_51),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f883])).
% 22.36/4.38 thf(f1576,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_4 | spl15_38 | spl15_66)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1575,f753])).
% 22.36/4.38 thf(f1575,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_4 | spl15_66)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1128,f1146])).
% 22.36/4.38 thf(f1146,plain,(
% 22.36/4.38 ($false != sK34) | spl15_66),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1145])).
% 22.36/4.38 thf(f1145,definition,(
% 22.36/4.38 spl15_66 <=> ($false = sK34)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_66])],[avatar_definition])).
% 22.36/4.38 thf(f1128,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK34) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1123])).
% 22.36/4.38 thf(f1123,plain,(
% 22.36/4.38 ($false = sK34) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1122])).
% 22.36/4.38 thf(f1122,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK34) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK34)) | ~spl15_4),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f955])).
% 22.36/4.38 thf(f955,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_4),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f103,f94])).
% 22.36/4.38 thf(f103,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f102])).
% 22.36/4.38 thf(f102,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f97])).
% 22.36/4.38 thf(f97,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f29])).
% 22.36/4.38 thf(f29,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK2 @ X0) @ (sK8 @ X0)) != $true) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 thf(f1574,plain,(
% 22.36/4.38 spl15_40 | ~spl15_31 | spl15_58 | ~spl15_73),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1573,f1236,f946,f695,f761])).
% 22.36/4.38 thf(f1573,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_31 | spl15_58 | ~spl15_73)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1572])).
% 22.36/4.38 thf(f1572,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_31 | spl15_58 | ~spl15_73)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1571,f697])).
% 22.36/4.38 thf(f1571,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_58 | ~spl15_73)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1570])).
% 22.36/4.38 thf(f1570,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (spl15_58 | ~spl15_73)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1055,f1238])).
% 22.36/4.38 thf(f1238,plain,(
% 22.36/4.38 ($false = sK32) | ~spl15_73),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1236])).
% 22.36/4.38 thf(f1569,plain,(
% 22.36/4.38 spl15_42 | spl15_70 | ~spl15_4 | spl15_37),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1568,f734,f93,f1196,f770])).
% 22.36/4.38 thf(f770,definition,(
% 22.36/4.38 spl15_42 <=> ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_42])],[avatar_definition])).
% 22.36/4.38 thf(f1196,definition,(
% 22.36/4.38 spl15_70 <=> ($true = sK34)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_70])],[avatar_definition])).
% 22.36/4.38 thf(f1568,plain,(
% 22.36/4.38 ($true = sK34) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (~spl15_4 | spl15_37)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1126,f735])).
% 22.36/4.38 thf(f735,plain,(
% 22.36/4.38 ($false != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_37),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f734])).
% 22.36/4.38 thf(f1126,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($true = sK34) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1124])).
% 22.36/4.38 thf(f1124,plain,(
% 22.36/4.38 ($true = sK34) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1122])).
% 22.36/4.38 thf(f1562,plain,(
% 22.36/4.38 spl15_32 | spl15_48 | spl15_55 | spl15_63),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1561,f1081,f923,f819,f699])).
% 22.36/4.38 thf(f819,definition,(
% 22.36/4.38 spl15_48 <=> ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_48])],[avatar_definition])).
% 22.36/4.38 thf(f923,definition,(
% 22.36/4.38 spl15_55 <=> ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_55])],[avatar_definition])).
% 22.36/4.38 thf(f1081,definition,(
% 22.36/4.38 spl15_63 <=> (sK30 = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_63])],[avatar_definition])).
% 22.36/4.38 thf(f1561,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_48 | spl15_55 | spl15_63)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1560,f1082])).
% 22.36/4.38 thf(f1082,plain,(
% 22.36/4.38 (sK30 != $true) | spl15_63),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1081])).
% 22.36/4.38 thf(f1560,plain,(
% 22.36/4.38 (sK30 = $true) | ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_48 | spl15_55)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1027,f820])).
% 22.36/4.38 thf(f820,plain,(
% 22.36/4.38 ($false != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_48),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f819])).
% 22.36/4.38 thf(f1027,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK30 = $true) | spl15_55),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1025])).
% 22.36/4.38 thf(f1025,plain,(
% 22.36/4.38 (sK30 = $true) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_55),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1023])).
% 22.36/4.38 thf(f1023,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK30) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK30)) | spl15_55),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f925])).
% 22.36/4.38 thf(f925,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_55),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f923])).
% 22.36/4.38 thf(f1559,plain,(
% 22.36/4.38 spl15_76 | ~spl15_4 | spl15_37 | spl15_48),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1558,f819,f734,f93,f1358])).
% 22.36/4.38 thf(f1358,definition,(
% 22.36/4.38 spl15_76 <=> (sK35 = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_76])],[avatar_definition])).
% 22.36/4.38 thf(f1558,plain,(
% 22.36/4.38 (sK35 = $true) | (~spl15_4 | spl15_37 | spl15_48)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1551,f735])).
% 22.36/4.38 thf(f1551,plain,(
% 22.36/4.38 (sK35 = $true) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (~spl15_4 | spl15_48)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1316,f820])).
% 22.36/4.38 thf(f1316,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK35 = $true) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1314])).
% 22.36/4.38 thf(f1314,plain,(
% 22.36/4.38 (sK35 = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1312])).
% 22.36/4.38 thf(f1550,plain,(
% 22.36/4.38 spl15_35 | ~spl15_31 | spl15_54 | ~spl15_60),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1549,f1015,f918,f695,f725])).
% 22.36/4.38 thf(f725,definition,(
% 22.36/4.38 spl15_35 <=> ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_35])],[avatar_definition])).
% 22.36/4.38 thf(f1549,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_31 | spl15_54 | ~spl15_60)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1548])).
% 22.36/4.38 thf(f1548,plain,(
% 22.36/4.38 ($false = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_31 | spl15_54 | ~spl15_60)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1547,f697])).
% 22.36/4.38 thf(f1547,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_54 | ~spl15_60)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1546])).
% 22.36/4.38 thf(f1546,plain,(
% 22.36/4.38 ($false = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_54 | ~spl15_60)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1009,f1017])).
% 22.36/4.38 thf(f1017,plain,(
% 22.36/4.38 ($false = sK29) | ~spl15_60),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1015])).
% 22.36/4.38 thf(f1545,plain,(
% 22.36/4.38 spl15_77 | ~spl15_4 | ~spl15_45 | ~spl15_51),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1544,f883,f805,f93,f1380])).
% 22.36/4.38 thf(f1544,plain,(
% 22.36/4.38 ($false = sK35) | (~spl15_4 | ~spl15_45 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1543])).
% 22.36/4.38 thf(f1543,plain,(
% 22.36/4.38 ($false = sK35) | ($false = $true) | (~spl15_4 | ~spl15_45 | ~spl15_51)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1542,f885])).
% 22.36/4.38 thf(f885,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_51),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f883])).
% 22.36/4.38 thf(f1540,plain,(
% 22.36/4.38 spl15_31 | spl15_37 | spl15_54 | ~spl15_60),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1539,f1015,f918,f734,f695])).
% 22.36/4.38 thf(f1539,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_37 | spl15_54 | ~spl15_60)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1538])).
% 22.36/4.38 thf(f1538,plain,(
% 22.36/4.38 ($false = $true) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_37 | spl15_54 | ~spl15_60)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1537,f1017])).
% 22.36/4.38 thf(f1537,plain,(
% 22.36/4.38 (sK29 = $true) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_37 | spl15_54)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1010,f735])).
% 22.36/4.38 thf(f1010,plain,(
% 22.36/4.38 (sK29 = $true) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_54),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1008])).
% 22.36/4.38 thf(f1536,plain,(
% 22.36/4.38 spl15_28 | spl15_62 | ~spl15_42 | spl15_58),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1535,f946,f770,f1062,f682])).
% 22.36/4.38 thf(f682,definition,(
% 22.36/4.38 spl15_28 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_28])],[avatar_definition])).
% 22.36/4.38 thf(f1535,plain,(
% 22.36/4.38 (sK32 = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_42 | spl15_58)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1534])).
% 22.36/4.38 thf(f1534,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (sK32 = $true) | (~spl15_42 | spl15_58)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1055,f772])).
% 22.36/4.38 thf(f772,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_42),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f770])).
% 22.36/4.38 thf(f1519,plain,(
% 22.36/4.38 ~spl15_50 | ~spl15_52),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1518])).
% 22.36/4.38 thf(f1518,plain,(
% 22.36/4.38 $false | (~spl15_50 | ~spl15_52)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1517])).
% 22.36/4.38 thf(f1517,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_50 | ~spl15_52)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f892,f881])).
% 22.36/4.38 thf(f881,plain,(
% 22.36/4.38 ($false = sK26) | ~spl15_50),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f879])).
% 22.36/4.38 thf(f879,definition,(
% 22.36/4.38 spl15_50 <=> ($false = sK26)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_50])],[avatar_definition])).
% 22.36/4.38 thf(f892,plain,(
% 22.36/4.38 (sK26 = $true) | ~spl15_52),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f890])).
% 22.36/4.38 thf(f890,definition,(
% 22.36/4.38 spl15_52 <=> (sK26 = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_52])],[avatar_definition])).
% 22.36/4.38 thf(f1515,plain,(
% 22.36/4.38 ~spl15_64 | ~spl15_71),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1514])).
% 22.36/4.38 thf(f1514,plain,(
% 22.36/4.38 $false | (~spl15_64 | ~spl15_71)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1513])).
% 22.36/4.38 thf(f1513,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_64 | ~spl15_71)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f1094,f1209])).
% 22.36/4.38 thf(f1209,plain,(
% 22.36/4.38 ($false = sK28) | ~spl15_71),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1207])).
% 22.36/4.38 thf(f1094,plain,(
% 22.36/4.38 ($true = sK28) | ~spl15_64),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1092])).
% 22.36/4.38 thf(f1092,definition,(
% 22.36/4.38 spl15_64 <=> ($true = sK28)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_64])],[avatar_definition])).
% 22.36/4.38 thf(f1507,plain,(
% 22.36/4.38 spl15_65 | ~spl15_26 | spl15_58 | spl15_73),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1463,f1236,f946,f673,f1141])).
% 22.36/4.38 thf(f1141,definition,(
% 22.36/4.38 spl15_65 <=> ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_65])],[avatar_definition])).
% 22.36/4.38 thf(f1463,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_26 | spl15_58 | spl15_73)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1427,f1237])).
% 22.36/4.38 thf(f1237,plain,(
% 22.36/4.38 ($false != sK32) | spl15_73),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1236])).
% 22.36/4.38 thf(f1427,plain,(
% 22.36/4.38 ($false = sK32) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_26 | spl15_58)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1426])).
% 22.36/4.38 thf(f1426,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK32) | ($false = $true) | (~spl15_26 | spl15_58)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1057,f675])).
% 22.36/4.38 thf(f1057,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK32) | spl15_58),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1053])).
% 22.36/4.38 thf(f1498,plain,(
% 22.36/4.38 spl15_65 | ~spl15_4 | ~spl15_51 | spl15_66),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1497,f1145,f883,f93,f1141])).
% 22.36/4.38 thf(f1497,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_4 | ~spl15_51 | spl15_66)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1496])).
% 22.36/4.38 thf(f1496,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (~spl15_4 | ~spl15_51 | spl15_66)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1495,f885])).
% 22.36/4.38 thf(f1495,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_4 | spl15_66)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1127,f1146])).
% 22.36/4.38 thf(f1127,plain,(
% 22.36/4.38 ($false = sK34) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1123])).
% 22.36/4.38 thf(f1494,plain,(
% 22.36/4.38 ~spl15_4 | ~spl15_51 | spl15_69 | spl15_77),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1493])).
% 22.36/4.38 thf(f1493,plain,(
% 22.36/4.38 $false | (~spl15_4 | ~spl15_51 | spl15_69 | spl15_77)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1492])).
% 22.36/4.38 thf(f1492,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_4 | ~spl15_51 | spl15_69 | spl15_77)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1491,f885])).
% 22.36/4.38 thf(f1491,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_4 | spl15_69 | spl15_77)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1490,f1188])).
% 22.36/4.38 thf(f1188,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != $true) | spl15_69),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1187])).
% 22.36/4.38 thf(f1490,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_4 | spl15_77)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1317,f1381])).
% 22.36/4.38 thf(f1481,plain,(
% 22.36/4.38 ~spl15_4 | spl15_35 | ~spl15_48 | ~spl15_77),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1480])).
% 22.36/4.38 thf(f1480,plain,(
% 22.36/4.38 $false | (~spl15_4 | spl15_35 | ~spl15_48 | ~spl15_77)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1479])).
% 22.36/4.38 thf(f1479,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_4 | spl15_35 | ~spl15_48 | ~spl15_77)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1478,f821])).
% 22.36/4.38 thf(f821,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_48),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f819])).
% 22.36/4.38 thf(f1478,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | spl15_35 | ~spl15_77)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1477])).
% 22.36/4.38 thf(f1477,plain,(
% 22.36/4.38 ($false = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | spl15_35 | ~spl15_77)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1476,f1382])).
% 22.36/4.38 thf(f1382,plain,(
% 22.36/4.38 ($false = sK35) | ~spl15_77),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1380])).
% 22.36/4.38 thf(f1476,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK35 = $true) | (~spl15_4 | spl15_35)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1315,f726])).
% 22.36/4.38 thf(f726,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != $true) | spl15_35),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f725])).
% 22.36/4.38 thf(f1315,plain,(
% 22.36/4.38 (sK35 = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1314])).
% 22.36/4.38 thf(f1475,plain,(
% 22.36/4.38 ~spl15_4 | spl15_37 | spl15_42 | ~spl15_66),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1474])).
% 22.36/4.38 thf(f1474,plain,(
% 22.36/4.38 $false | (~spl15_4 | spl15_37 | spl15_42 | ~spl15_66)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1473])).
% 22.36/4.38 thf(f1473,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_4 | spl15_37 | spl15_42 | ~spl15_66)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1472,f1147])).
% 22.36/4.38 thf(f1147,plain,(
% 22.36/4.38 ($false = sK34) | ~spl15_66),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1145])).
% 22.36/4.38 thf(f1472,plain,(
% 22.36/4.38 ($true = sK34) | (~spl15_4 | spl15_37 | spl15_42)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1471,f735])).
% 22.36/4.38 thf(f1471,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($true = sK34) | (~spl15_4 | spl15_42)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1126,f771])).
% 22.36/4.38 thf(f771,plain,(
% 22.36/4.38 ($false != (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_42),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f770])).
% 22.36/4.38 thf(f1466,plain,(
% 22.36/4.38 ~spl15_26 | ~spl15_38 | spl15_58 | spl15_73),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1465])).
% 22.36/4.38 thf(f1465,plain,(
% 22.36/4.38 $false | (~spl15_26 | ~spl15_38 | spl15_58 | spl15_73)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1464])).
% 22.36/4.38 thf(f1464,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_26 | ~spl15_38 | spl15_58 | spl15_73)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1463,f754])).
% 22.36/4.38 thf(f754,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_38),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f752])).
% 22.36/4.38 thf(f1456,plain,(
% 22.36/4.38 ~spl15_60 | ~spl15_74),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1455])).
% 22.36/4.38 thf(f1455,plain,(
% 22.36/4.38 $false | (~spl15_60 | ~spl15_74)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1454])).
% 22.36/4.38 thf(f1454,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_60 | ~spl15_74)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f1283,f1017])).
% 22.36/4.38 thf(f1283,plain,(
% 22.36/4.38 (sK29 = $true) | ~spl15_74),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1281])).
% 22.36/4.38 thf(f1443,plain,(
% 22.36/4.38 spl15_33 | ~spl15_26 | spl15_54 | ~spl15_74),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1442,f1281,f918,f673,f716])).
% 22.36/4.38 thf(f1442,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_26 | spl15_54 | ~spl15_74)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1441])).
% 22.36/4.38 thf(f1441,plain,(
% 22.36/4.38 ($false = $true) | ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_26 | spl15_54 | ~spl15_74)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1440,f675])).
% 22.36/4.38 thf(f1440,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_54 | ~spl15_74)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1439])).
% 22.36/4.38 thf(f1439,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (spl15_54 | ~spl15_74)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1011,f1283])).
% 22.36/4.38 thf(f1438,plain,(
% 22.36/4.38 ~spl15_75 | ~spl15_78),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1437])).
% 22.36/4.38 thf(f1437,plain,(
% 22.36/4.38 $false | (~spl15_75 | ~spl15_78)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1436])).
% 22.36/4.38 thf(f1436,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_75 | ~spl15_78)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1398,f1355])).
% 22.36/4.38 thf(f1355,plain,(
% 22.36/4.38 ($false = sK36) | ~spl15_75),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1353])).
% 22.36/4.38 thf(f1353,definition,(
% 22.36/4.38 spl15_75 <=> ($false = sK36)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_75])],[avatar_definition])).
% 22.36/4.38 thf(f1398,plain,(
% 22.36/4.38 (sK36 = $true) | ~spl15_78),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1396])).
% 22.36/4.38 thf(f1435,plain,(
% 22.36/4.38 spl15_27 | spl15_51 | spl15_59 | spl15_68),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1434,f1168,f951,f883,f677])).
% 22.36/4.38 thf(f677,definition,(
% 22.36/4.38 spl15_27 <=> ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_27])],[avatar_definition])).
% 22.36/4.38 thf(f1434,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_59 | spl15_68)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1121,f1169])).
% 22.36/4.38 thf(f1169,plain,(
% 22.36/4.38 ($false != sK33) | spl15_68),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1168])).
% 22.36/4.38 thf(f1121,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK33) | ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_59),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1116])).
% 22.36/4.38 thf(f1116,plain,(
% 22.36/4.38 ($false = sK33) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_59),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1115])).
% 22.36/4.38 thf(f1432,plain,(
% 22.36/4.38 ~spl15_26 | ~spl15_38 | spl15_58 | ~spl15_62),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1431])).
% 22.36/4.38 thf(f1431,plain,(
% 22.36/4.38 $false | (~spl15_26 | ~spl15_38 | spl15_58 | ~spl15_62)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1430])).
% 22.36/4.38 thf(f1430,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_26 | ~spl15_38 | spl15_58 | ~spl15_62)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1429,f754])).
% 22.36/4.38 thf(f1429,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_26 | spl15_58 | ~spl15_62)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1428])).
% 22.36/4.38 thf(f1428,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (~spl15_26 | spl15_58 | ~spl15_62)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1427,f1064])).
% 22.36/4.38 thf(f1064,plain,(
% 22.36/4.38 (sK32 = $true) | ~spl15_62),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1062])).
% 22.36/4.38 thf(f1420,plain,(
% 22.36/4.38 spl15_75 | ~spl15_4 | ~spl15_27 | ~spl15_38),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1419,f752,f677,f93,f1353])).
% 22.36/4.38 thf(f1419,plain,(
% 22.36/4.38 ($false = sK36) | (~spl15_4 | ~spl15_27 | ~spl15_38)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1418])).
% 22.36/4.38 thf(f1418,plain,(
% 22.36/4.38 ($false = $true) | ($false = sK36) | (~spl15_4 | ~spl15_27 | ~spl15_38)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1417,f754])).
% 22.36/4.38 thf(f1417,plain,(
% 22.36/4.38 ($false = sK36) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_4 | ~spl15_27)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1416])).
% 22.36/4.38 thf(f1416,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | ($false = sK36) | (~spl15_4 | ~spl15_27)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1343,f679])).
% 22.36/4.38 thf(f679,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_27),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f677])).
% 22.36/4.38 thf(f1343,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK36) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1339])).
% 22.36/4.38 thf(f1339,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK36) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1338])).
% 22.36/4.38 thf(f1415,plain,(
% 22.36/4.38 spl15_37 | spl15_32 | spl15_59 | ~spl15_68),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1414,f1168,f951,f699,f734])).
% 22.36/4.38 thf(f1414,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_32 | spl15_59 | ~spl15_68)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1413])).
% 22.36/4.38 thf(f1413,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = $true) | (spl15_32 | spl15_59 | ~spl15_68)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1412,f1170])).
% 22.36/4.38 thf(f1412,plain,(
% 22.36/4.38 (sK33 = $true) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_32 | spl15_59)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1119,f700])).
% 22.36/4.38 thf(f700,plain,(
% 22.36/4.38 ($false != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_32),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f699])).
% 22.36/4.38 thf(f1119,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK33 = $true) | spl15_59),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1117])).
% 22.36/4.38 thf(f1410,plain,(
% 22.36/4.38 spl15_42 | ~spl15_4 | ~spl15_35 | ~spl15_66),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1409,f1145,f725,f93,f770])).
% 22.36/4.38 thf(f1409,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (~spl15_4 | ~spl15_35 | ~spl15_66)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1408])).
% 22.36/4.38 thf(f1408,plain,(
% 22.36/4.38 ($false = $true) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (~spl15_4 | ~spl15_35 | ~spl15_66)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1407,f1147])).
% 22.36/4.38 thf(f1407,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($true = sK34) | (~spl15_4 | ~spl15_35)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1406])).
% 22.36/4.38 thf(f1406,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = $true) | ($true = sK34) | (~spl15_4 | ~spl15_35)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1126,f727])).
% 22.36/4.38 thf(f727,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_35),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f725])).
% 22.36/4.38 thf(f1399,plain,(
% 22.36/4.38 spl15_42 | spl15_78 | ~spl15_4 | spl15_32),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1394,f699,f93,f1396,f770])).
% 22.36/4.38 thf(f1394,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK36 = $true) | (~spl15_4 | spl15_32)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1342,f700])).
% 22.36/4.38 thf(f1342,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK36 = $true) | ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1340])).
% 22.36/4.38 thf(f1393,plain,(
% 22.36/4.38 ~spl15_76 | ~spl15_77),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1392])).
% 22.36/4.38 thf(f1392,plain,(
% 22.36/4.38 $false | (~spl15_76 | ~spl15_77)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1391])).
% 22.36/4.38 thf(f1391,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_76 | ~spl15_77)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f1360,f1382])).
% 22.36/4.38 thf(f1360,plain,(
% 22.36/4.38 (sK35 = $true) | ~spl15_76),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1358])).
% 22.36/4.38 thf(f1389,plain,(
% 22.36/4.38 ~spl15_35 | ~spl15_37),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1388])).
% 22.36/4.38 thf(f1388,plain,(
% 22.36/4.38 $false | (~spl15_35 | ~spl15_37)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1387])).
% 22.36/4.38 thf(f1387,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_35 | ~spl15_37)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f727,f736])).
% 22.36/4.38 thf(f1386,plain,(
% 22.36/4.38 ~spl15_44 | ~spl15_46),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1385])).
% 22.36/4.38 thf(f1385,plain,(
% 22.36/4.38 $false | (~spl15_44 | ~spl15_46)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1384])).
% 22.36/4.38 thf(f1384,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_44 | ~spl15_46)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f812,f803])).
% 22.36/4.38 thf(f803,plain,(
% 22.36/4.38 ($false = sK22) | ~spl15_44),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f801])).
% 22.36/4.38 thf(f801,definition,(
% 22.36/4.38 spl15_44 <=> ($false = sK22)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_44])],[avatar_definition])).
% 22.36/4.38 thf(f812,plain,(
% 22.36/4.38 ($true = sK22) | ~spl15_46),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f810])).
% 22.36/4.38 thf(f810,definition,(
% 22.36/4.38 spl15_46 <=> ($true = sK22)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_46])],[avatar_definition])).
% 22.36/4.38 thf(f1373,plain,(
% 22.36/4.38 spl15_23 | ~spl15_45 | spl15_53 | spl15_71),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1372])).
% 22.36/4.38 thf(f1372,plain,(
% 22.36/4.38 $false | (spl15_23 | ~spl15_45 | spl15_53 | spl15_71)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1371])).
% 22.36/4.38 thf(f1371,plain,(
% 22.36/4.38 ($false = $true) | (spl15_23 | ~spl15_45 | spl15_53 | spl15_71)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1370,f807])).
% 22.36/4.38 thf(f1370,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (spl15_23 | spl15_53 | spl15_71)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1369,f1208])).
% 22.36/4.38 thf(f1208,plain,(
% 22.36/4.38 ($false != sK28) | spl15_71),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1207])).
% 22.36/4.38 thf(f1369,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK28) | (spl15_23 | spl15_53)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1003,f661])).
% 22.36/4.38 thf(f661,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != $true) | spl15_23),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f660])).
% 22.36/4.38 thf(f1366,plain,(
% 22.36/4.38 spl15_26 | spl15_51 | spl15_54 | spl15_60),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1365,f1015,f918,f883,f673])).
% 22.36/4.38 thf(f1365,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_54 | spl15_60)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1012,f1016])).
% 22.36/4.38 thf(f1016,plain,(
% 22.36/4.38 ($false != sK29) | spl15_60),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1015])).
% 22.36/4.38 thf(f1012,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK29) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_54),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1007])).
% 22.36/4.38 thf(f1361,plain,(
% 22.36/4.38 spl15_76 | spl15_47 | ~spl15_4 | ~spl15_37),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1324,f734,f93,f814,f1358])).
% 22.36/4.38 thf(f814,definition,(
% 22.36/4.38 spl15_47 <=> ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_47])],[avatar_definition])).
% 22.36/4.38 thf(f1324,plain,(
% 22.36/4.38 (sK35 = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_37)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1323])).
% 22.36/4.38 thf(f1323,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (sK35 = $true) | (~spl15_4 | ~spl15_37)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1315,f736])).
% 22.36/4.38 thf(f1356,plain,(
% 22.36/4.38 spl15_75 | spl15_27 | ~spl15_4 | spl15_38),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1345,f752,f93,f677,f1353])).
% 22.36/4.38 thf(f1345,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK36) | (~spl15_4 | spl15_38)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1344,f753])).
% 22.36/4.38 thf(f1344,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK36) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1339])).
% 22.36/4.38 thf(f1351,plain,(
% 22.36/4.38 ~spl15_4 | spl15_27 | spl15_32 | spl15_38 | spl15_42),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1350])).
% 22.36/4.38 thf(f1350,plain,(
% 22.36/4.38 $false | (~spl15_4 | spl15_27 | spl15_32 | spl15_38 | spl15_42)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1349])).
% 22.36/4.38 thf(f1349,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_4 | spl15_27 | spl15_32 | spl15_38 | spl15_42)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1348,f1346])).
% 22.36/4.38 thf(f1346,plain,(
% 22.36/4.38 ($false = sK36) | (~spl15_4 | spl15_27 | spl15_38)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1345,f678])).
% 22.36/4.38 thf(f678,plain,(
% 22.36/4.38 ($false != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_27),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f677])).
% 22.36/4.38 thf(f1348,plain,(
% 22.36/4.38 (sK36 = $true) | (~spl15_4 | spl15_32 | spl15_42)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1347,f700])).
% 22.36/4.38 thf(f1347,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK36 = $true) | (~spl15_4 | spl15_42)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1342,f771])).
% 22.36/4.38 thf(f1336,plain,(
% 22.36/4.38 spl15_48 | spl15_72 | spl15_42 | spl15_56),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1285,f928,f770,f1215,f819])).
% 22.36/4.38 thf(f1215,definition,(
% 22.36/4.38 spl15_72 <=> (sK31 = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_72])],[avatar_definition])).
% 22.36/4.38 thf(f1285,plain,(
% 22.36/4.38 (sK31 = $true) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_42 | spl15_56)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1045,f771])).
% 22.36/4.38 thf(f1045,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK31 = $true) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_56),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1043])).
% 22.36/4.38 thf(f1043,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK31 = $true) | spl15_56),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1041])).
% 22.36/4.38 thf(f1335,plain,(
% 22.36/4.38 spl15_25 | spl15_61 | ~spl15_45 | spl15_55),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1334,f923,f805,f1033,f668])).
% 22.36/4.38 thf(f668,definition,(
% 22.36/4.38 spl15_25 <=> ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_25])],[avatar_definition])).
% 22.36/4.38 thf(f1033,definition,(
% 22.36/4.38 spl15_61 <=> ($false = sK30)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_61])],[avatar_definition])).
% 22.36/4.38 thf(f1334,plain,(
% 22.36/4.38 ($false = sK30) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_45 | spl15_55)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1333])).
% 22.36/4.38 thf(f1333,plain,(
% 22.36/4.38 ($false = sK30) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (~spl15_45 | spl15_55)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1028,f807])).
% 22.36/4.38 thf(f1028,plain,(
% 22.36/4.38 ($false = sK30) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | spl15_55),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1024])).
% 22.36/4.38 thf(f1024,plain,(
% 22.36/4.38 ($false = sK30) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_55),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f1023])).
% 22.36/4.38 thf(f1329,plain,(
% 22.36/4.38 ~spl15_4 | ~spl15_37 | ~spl15_45 | ~spl15_48 | ~spl15_51),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1328])).
% 22.36/4.38 thf(f1328,plain,(
% 22.36/4.38 $false | (~spl15_4 | ~spl15_37 | ~spl15_45 | ~spl15_48 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1327])).
% 22.36/4.38 thf(f1327,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_4 | ~spl15_37 | ~spl15_45 | ~spl15_48 | ~spl15_51)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1326,f1322])).
% 22.36/4.38 thf(f1322,plain,(
% 22.36/4.38 ($false = sK35) | (~spl15_4 | ~spl15_45 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1321])).
% 22.36/4.38 thf(f1321,plain,(
% 22.36/4.38 ($false = sK35) | ($false = $true) | (~spl15_4 | ~spl15_45 | ~spl15_51)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1320,f807])).
% 22.36/4.38 thf(f1320,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK35) | (~spl15_4 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1319])).
% 22.36/4.38 thf(f1319,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK35) | ($false = $true) | (~spl15_4 | ~spl15_51)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1317,f885])).
% 22.36/4.38 thf(f1326,plain,(
% 22.36/4.38 (sK35 = $true) | (~spl15_4 | ~spl15_37 | ~spl15_48)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1325])).
% 22.36/4.38 thf(f1325,plain,(
% 22.36/4.38 (sK35 = $true) | ($false = $true) | (~spl15_4 | ~spl15_37 | ~spl15_48)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1324,f821])).
% 22.36/4.38 thf(f1308,plain,(
% 22.36/4.38 spl15_31 | spl15_42 | spl15_58 | ~spl15_73),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1307,f1236,f946,f770,f695])).
% 22.36/4.38 thf(f1307,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_42 | spl15_58 | ~spl15_73)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1306])).
% 22.36/4.38 thf(f1306,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = $true) | (spl15_42 | spl15_58 | ~spl15_73)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1305,f1238])).
% 22.36/4.38 thf(f1305,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK32 = $true) | (spl15_42 | spl15_58)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1056,f771])).
% 22.36/4.38 thf(f1056,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK32 = $true) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_58),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1054])).
% 22.36/4.38 thf(f1295,plain,(
% 22.36/4.38 spl15_28 | spl15_47 | spl15_53 | ~spl15_71),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1294,f1207,f913,f814,f682])).
% 22.36/4.38 thf(f1294,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_47 | spl15_53 | ~spl15_71)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1293])).
% 22.36/4.38 thf(f1293,plain,(
% 22.36/4.38 ($false = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_47 | spl15_53 | ~spl15_71)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1292,f1209])).
% 22.36/4.38 thf(f1292,plain,(
% 22.36/4.38 ($true = sK28) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (spl15_47 | spl15_53)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1001,f815])).
% 22.36/4.38 thf(f815,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != $true) | spl15_47),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f814])).
% 22.36/4.38 thf(f1001,plain,(
% 22.36/4.38 ($true = sK28) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_53),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1000])).
% 22.36/4.38 thf(f1000,plain,(
% 22.36/4.38 ($true = sK28) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_53),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f998])).
% 22.36/4.38 thf(f1291,plain,(
% 22.36/4.38 spl15_48 | spl15_31 | spl15_53 | ~spl15_71),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1290,f1207,f913,f695,f819])).
% 22.36/4.38 thf(f1290,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_31 | spl15_53 | ~spl15_71)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1289])).
% 22.36/4.38 thf(f1289,plain,(
% 22.36/4.38 ($false = $true) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_31 | spl15_53 | ~spl15_71)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1288,f1209])).
% 22.36/4.38 thf(f1288,plain,(
% 22.36/4.38 ($true = sK28) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_31 | spl15_53)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1002,f696])).
% 22.36/4.38 thf(f696,plain,(
% 22.36/4.38 ($false != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_31),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f695])).
% 22.36/4.38 thf(f1002,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($true = sK28) | spl15_53),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1000])).
% 22.36/4.38 thf(f1278,plain,(
% 22.36/4.38 ~spl15_45 | ~spl15_69),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1277])).
% 22.36/4.38 thf(f1277,plain,(
% 22.36/4.38 $false | (~spl15_45 | ~spl15_69)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1276])).
% 22.36/4.38 thf(f1276,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_45 | ~spl15_69)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f1189,f807])).
% 22.36/4.38 thf(f1189,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_69),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1187])).
% 22.36/4.38 thf(f1275,plain,(
% 22.36/4.38 ~spl15_61 | ~spl15_63),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1274])).
% 22.36/4.38 thf(f1274,plain,(
% 22.36/4.38 $false | (~spl15_61 | ~spl15_63)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1273])).
% 22.36/4.38 thf(f1273,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_61 | ~spl15_63)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f1083,f1035])).
% 22.36/4.38 thf(f1035,plain,(
% 22.36/4.38 ($false = sK30) | ~spl15_61),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1033])).
% 22.36/4.38 thf(f1083,plain,(
% 22.36/4.38 (sK30 = $true) | ~spl15_63),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1081])).
% 22.36/4.38 thf(f1269,plain,(
% 22.36/4.38 spl15_68 | ~spl15_27 | ~spl15_51 | spl15_59),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1268,f951,f883,f677,f1168])).
% 22.36/4.38 thf(f1268,plain,(
% 22.36/4.38 ($false = sK33) | (~spl15_27 | ~spl15_51 | spl15_59)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1267])).
% 22.36/4.38 thf(f1267,plain,(
% 22.36/4.38 ($false = $true) | ($false = sK33) | (~spl15_27 | ~spl15_51 | spl15_59)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1266,f679])).
% 22.36/4.38 thf(f1266,plain,(
% 22.36/4.38 ($false = sK33) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_51 | spl15_59)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1265])).
% 22.36/4.38 thf(f1265,plain,(
% 22.36/4.38 ($false = sK33) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (~spl15_51 | spl15_59)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1120,f885])).
% 22.36/4.38 thf(f1120,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK33) | spl15_59),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1116])).
% 22.36/4.38 thf(f1264,plain,(
% 22.36/4.38 ~spl15_67 | ~spl15_72),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1263])).
% 22.36/4.38 thf(f1263,plain,(
% 22.36/4.38 $false | (~spl15_67 | ~spl15_72)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1262])).
% 22.36/4.38 thf(f1262,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_67 | ~spl15_72)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f1217,f1161])).
% 22.36/4.38 thf(f1161,plain,(
% 22.36/4.38 ($false = sK31) | ~spl15_67),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1159])).
% 22.36/4.38 thf(f1217,plain,(
% 22.36/4.38 (sK31 = $true) | ~spl15_72),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1215])).
% 22.36/4.38 thf(f1255,plain,(
% 22.36/4.38 ~spl15_25 | ~spl15_27),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1254])).
% 22.36/4.38 thf(f1254,plain,(
% 22.36/4.38 $false | (~spl15_25 | ~spl15_27)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1253])).
% 22.36/4.38 thf(f1253,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_25 | ~spl15_27)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f670,f679])).
% 22.36/4.38 thf(f670,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_25),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f668])).
% 22.36/4.38 thf(f1250,plain,(
% 22.36/4.38 spl15_27 | spl15_45 | spl15_55 | ~spl15_63),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1249,f1081,f923,f805,f677])).
% 22.36/4.38 thf(f1249,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_45 | spl15_55 | ~spl15_63)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1248])).
% 22.36/4.38 thf(f1248,plain,(
% 22.36/4.38 ($false = $true) | ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_45 | spl15_55 | ~spl15_63)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1247,f1083])).
% 22.36/4.38 thf(f1247,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK30) | (spl15_45 | spl15_55)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1029,f806])).
% 22.36/4.38 thf(f1029,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK30) | spl15_55),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1024])).
% 22.36/4.38 thf(f1230,plain,(
% 22.36/4.38 ~spl15_66 | ~spl15_70),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1229])).
% 22.36/4.38 thf(f1229,plain,(
% 22.36/4.38 $false | (~spl15_66 | ~spl15_70)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1228])).
% 22.36/4.38 thf(f1228,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_66 | ~spl15_70)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1198,f1147])).
% 22.36/4.38 thf(f1198,plain,(
% 22.36/4.38 ($true = sK34) | ~spl15_70),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1196])).
% 22.36/4.38 thf(f1227,plain,(
% 22.36/4.38 ~spl15_31 | ~spl15_48 | spl15_53 | ~spl15_71),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1226])).
% 22.36/4.38 thf(f1226,plain,(
% 22.36/4.38 $false | (~spl15_31 | ~spl15_48 | spl15_53 | ~spl15_71)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1225])).
% 22.36/4.38 thf(f1225,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_31 | ~spl15_48 | spl15_53 | ~spl15_71)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1224,f697])).
% 22.36/4.38 thf(f1224,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_48 | spl15_53 | ~spl15_71)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1223])).
% 22.36/4.38 thf(f1223,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_48 | spl15_53 | ~spl15_71)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1222,f1209])).
% 22.36/4.38 thf(f1222,plain,(
% 22.36/4.38 ($true = sK28) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_48 | spl15_53)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1221])).
% 22.36/4.38 thf(f1221,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | ($true = sK28) | (~spl15_48 | spl15_53)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1001,f821])).
% 22.36/4.38 thf(f1218,plain,(
% 22.36/4.38 spl15_72 | spl15_47 | spl15_40 | spl15_56),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1213,f928,f761,f814,f1215])).
% 22.36/4.38 thf(f1213,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK31 = $true) | (spl15_40 | spl15_56)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1044,f762])).
% 22.36/4.38 thf(f762,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != $true) | spl15_40),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f761])).
% 22.36/4.38 thf(f1044,plain,(
% 22.36/4.38 (sK31 = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_56),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1043])).
% 22.36/4.38 thf(f1202,plain,(
% 22.36/4.38 spl15_66 | ~spl15_4 | spl15_33 | ~spl15_38),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1201,f752,f716,f93,f1145])).
% 22.36/4.38 thf(f1201,plain,(
% 22.36/4.38 ($false = sK34) | (~spl15_4 | spl15_33 | ~spl15_38)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1200])).
% 22.36/4.38 thf(f1200,plain,(
% 22.36/4.38 ($false = sK34) | ($false = $true) | (~spl15_4 | spl15_33 | ~spl15_38)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1178,f754])).
% 22.36/4.38 thf(f1178,plain,(
% 22.36/4.38 ($false = sK34) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_4 | spl15_33)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1127,f717])).
% 22.36/4.38 thf(f1199,plain,(
% 22.36/4.38 spl15_40 | spl15_70 | ~spl15_4 | ~spl15_37),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1150,f734,f93,f1196,f761])).
% 22.36/4.38 thf(f1150,plain,(
% 22.36/4.38 ($true = sK34) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_37)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1149])).
% 22.36/4.38 thf(f1149,plain,(
% 22.36/4.38 ($false = $true) | ($true = sK34) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_37)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1125,f736])).
% 22.36/4.38 thf(f1125,plain,(
% 22.36/4.38 ($true = sK34) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1124])).
% 22.36/4.38 thf(f1177,plain,(
% 22.36/4.38 ~spl15_38 | ~spl15_65),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1176])).
% 22.36/4.38 thf(f1176,plain,(
% 22.36/4.38 $false | (~spl15_38 | ~spl15_65)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1175])).
% 22.36/4.38 thf(f1175,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_38 | ~spl15_65)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f1143,f754])).
% 22.36/4.38 thf(f1143,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_65),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f1141])).
% 22.36/4.38 thf(f1174,plain,(
% 22.36/4.38 spl15_51 | spl15_38 | ~spl15_4 | ~spl15_37 | ~spl15_42),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1173,f770,f734,f93,f752,f883])).
% 22.36/4.38 thf(f1173,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_4 | ~spl15_37 | ~spl15_42)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1172])).
% 22.36/4.38 thf(f1172,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = $true) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_4 | ~spl15_37 | ~spl15_42)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1128,f1152])).
% 22.36/4.38 thf(f1152,plain,(
% 22.36/4.38 ($true = sK34) | (~spl15_4 | ~spl15_37 | ~spl15_42)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1151])).
% 22.36/4.38 thf(f1151,plain,(
% 22.36/4.38 ($false = $true) | ($true = sK34) | (~spl15_4 | ~spl15_37 | ~spl15_42)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1150,f772])).
% 22.36/4.38 thf(f1165,plain,(
% 22.36/4.38 ~spl15_31 | ~spl15_37 | spl15_54 | ~spl15_60),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1164])).
% 22.36/4.38 thf(f1164,plain,(
% 22.36/4.38 $false | (~spl15_31 | ~spl15_37 | spl15_54 | ~spl15_60)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1163])).
% 22.36/4.38 thf(f1163,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_31 | ~spl15_37 | spl15_54 | ~spl15_60)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f1103,f1017])).
% 22.36/4.38 thf(f1103,plain,(
% 22.36/4.38 (sK29 = $true) | (~spl15_31 | ~spl15_37 | spl15_54)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1102])).
% 22.36/4.38 thf(f1102,plain,(
% 22.36/4.38 (sK29 = $true) | ($false = $true) | (~spl15_31 | ~spl15_37 | spl15_54)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1101,f697])).
% 22.36/4.38 thf(f1101,plain,(
% 22.36/4.38 (sK29 = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_37 | spl15_54)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1100])).
% 22.36/4.38 thf(f1100,plain,(
% 22.36/4.38 ($false = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK29 = $true) | (~spl15_37 | spl15_54)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1009,f736])).
% 22.36/4.38 thf(f1157,plain,(
% 22.36/4.38 spl15_26 | spl15_38 | spl15_58 | ~spl15_62),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1156])).
% 22.36/4.38 thf(f1156,plain,(
% 22.36/4.38 $false | (spl15_26 | spl15_38 | spl15_58 | ~spl15_62)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1155])).
% 22.36/4.38 thf(f1155,plain,(
% 22.36/4.38 ($false = $true) | (spl15_26 | spl15_38 | spl15_58 | ~spl15_62)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f1064,f1154])).
% 22.36/4.38 thf(f1154,plain,(
% 22.36/4.38 ($false = sK32) | (spl15_26 | spl15_38 | spl15_58)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1153,f674])).
% 22.36/4.38 thf(f674,plain,(
% 22.36/4.38 ($false != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_26),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f673])).
% 22.36/4.38 thf(f1153,plain,(
% 22.36/4.38 ($false = sK32) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (spl15_38 | spl15_58)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1058,f753])).
% 22.36/4.38 thf(f1139,plain,(
% 22.36/4.38 ~spl15_4 | ~spl15_37 | ~spl15_38 | ~spl15_42 | ~spl15_51),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1138])).
% 22.36/4.38 thf(f1138,plain,(
% 22.36/4.38 $false | (~spl15_4 | ~spl15_37 | ~spl15_38 | ~spl15_42 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1137])).
% 22.36/4.38 thf(f1137,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_4 | ~spl15_37 | ~spl15_38 | ~spl15_42 | ~spl15_51)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1136,f736])).
% 22.36/4.38 thf(f1136,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_38 | ~spl15_42 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1135])).
% 22.36/4.38 thf(f1135,plain,(
% 22.36/4.38 ($false = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_38 | ~spl15_42 | ~spl15_51)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1134,f772])).
% 22.36/4.38 thf(f1134,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_38 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1133])).
% 22.36/4.38 thf(f1133,plain,(
% 22.36/4.38 ($false = $true) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_38 | ~spl15_51)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1125,f1132])).
% 22.36/4.38 thf(f1132,plain,(
% 22.36/4.38 ($false = sK34) | (~spl15_4 | ~spl15_38 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1131])).
% 22.36/4.38 thf(f1131,plain,(
% 22.36/4.38 ($false = $true) | ($false = sK34) | (~spl15_4 | ~spl15_38 | ~spl15_51)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1130,f754])).
% 22.36/4.38 thf(f1130,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK34) | (~spl15_4 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1129])).
% 22.36/4.38 thf(f1129,plain,(
% 22.36/4.38 ($false = sK34) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | (~spl15_4 | ~spl15_51)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1127,f885])).
% 22.36/4.38 thf(f1111,plain,(
% 22.36/4.38 spl15_62 | ~spl15_31 | ~spl15_42 | spl15_58),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1110,f946,f770,f695,f1062])).
% 22.36/4.38 thf(f1110,plain,(
% 22.36/4.38 (sK32 = $true) | (~spl15_31 | ~spl15_42 | spl15_58)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1109])).
% 22.36/4.38 thf(f1109,plain,(
% 22.36/4.38 ($false = $true) | (sK32 = $true) | (~spl15_31 | ~spl15_42 | spl15_58)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1108,f772])).
% 22.36/4.38 thf(f1108,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK32 = $true) | (~spl15_31 | spl15_58)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1107])).
% 22.36/4.38 thf(f1107,plain,(
% 22.36/4.38 (sK32 = $true) | ($false = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_31 | spl15_58)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1055,f697])).
% 22.36/4.38 thf(f1106,plain,(
% 22.36/4.38 ~spl15_29 | ~spl15_32),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1105])).
% 22.36/4.38 thf(f1105,plain,(
% 22.36/4.38 $false | (~spl15_29 | ~spl15_32)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1104])).
% 22.36/4.38 thf(f1104,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_29 | ~spl15_32)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f688,f701])).
% 22.36/4.38 thf(f688,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_29),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f686])).
% 22.36/4.38 thf(f686,definition,(
% 22.36/4.38 spl15_29 <=> ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_29])],[avatar_definition])).
% 22.36/4.38 thf(f1098,plain,(
% 22.36/4.38 ~spl15_28 | ~spl15_31),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1097])).
% 22.36/4.38 thf(f1097,plain,(
% 22.36/4.38 $false | (~spl15_28 | ~spl15_31)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1096])).
% 22.36/4.38 thf(f1096,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_28 | ~spl15_31)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f684,f697])).
% 22.36/4.38 thf(f684,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_28),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f682])).
% 22.36/4.38 thf(f1095,plain,(
% 22.36/4.38 spl15_31 | spl15_64 | spl15_48 | spl15_53),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1090,f913,f819,f1092,f695])).
% 22.36/4.38 thf(f1090,plain,(
% 22.36/4.38 ($true = sK28) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (spl15_48 | spl15_53)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f1002,f820])).
% 22.36/4.38 thf(f1084,plain,(
% 22.36/4.38 spl15_63 | spl15_47 | ~spl15_32 | spl15_55),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1038,f923,f699,f814,f1081])).
% 22.36/4.38 thf(f1038,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK30 = $true) | (~spl15_32 | spl15_55)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1037])).
% 22.36/4.38 thf(f1037,plain,(
% 22.36/4.38 ($false = $true) | (sK30 = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_32 | spl15_55)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1026,f701])).
% 22.36/4.38 thf(f1026,plain,(
% 22.36/4.38 (sK30 = $true) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_55),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1025])).
% 22.36/4.38 thf(f1079,plain,(
% 22.36/4.38 ~spl15_38 | ~spl15_42 | ~spl15_45 | ~spl15_48 | spl15_56),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1078])).
% 22.36/4.38 thf(f1078,plain,(
% 22.36/4.38 $false | (~spl15_38 | ~spl15_42 | ~spl15_45 | ~spl15_48 | spl15_56)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1077])).
% 22.36/4.38 thf(f1077,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_38 | ~spl15_42 | ~spl15_45 | ~spl15_48 | spl15_56)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1076,f772])).
% 22.36/4.38 thf(f1076,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_38 | ~spl15_45 | ~spl15_48 | spl15_56)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1075])).
% 22.36/4.38 thf(f1075,plain,(
% 22.36/4.38 ($false = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_38 | ~spl15_45 | ~spl15_48 | spl15_56)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1074,f1051])).
% 22.36/4.38 thf(f1051,plain,(
% 22.36/4.38 ($false = sK31) | (~spl15_38 | ~spl15_45 | spl15_56)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1050])).
% 22.36/4.38 thf(f1050,plain,(
% 22.36/4.38 ($false = sK31) | ($false = $true) | (~spl15_38 | ~spl15_45 | spl15_56)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1049,f754])).
% 22.36/4.38 thf(f1049,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK31) | (~spl15_45 | spl15_56)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1048])).
% 22.36/4.38 thf(f1048,plain,(
% 22.36/4.38 ($false = $true) | ($false = sK31) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_45 | spl15_56)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1046,f807])).
% 22.36/4.38 thf(f1046,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK31) | spl15_56),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f1042])).
% 22.36/4.38 thf(f1074,plain,(
% 22.36/4.38 (sK31 = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_48 | spl15_56)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1073])).
% 22.36/4.38 thf(f1073,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (sK31 = $true) | ($false = $true) | (~spl15_48 | spl15_56)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1044,f821])).
% 22.36/4.38 thf(f1072,plain,(
% 22.36/4.38 ~spl15_47 | ~spl15_48),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1071])).
% 22.36/4.38 thf(f1071,plain,(
% 22.36/4.38 $false | (~spl15_47 | ~spl15_48)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1070])).
% 22.36/4.38 thf(f1070,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_47 | ~spl15_48)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f816,f821])).
% 22.36/4.38 thf(f816,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_47),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f814])).
% 22.36/4.38 thf(f1068,plain,(
% 22.36/4.38 ~spl15_40 | ~spl15_42),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1067])).
% 22.36/4.38 thf(f1067,plain,(
% 22.36/4.38 $false | (~spl15_40 | ~spl15_42)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1066])).
% 22.36/4.38 thf(f1066,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_40 | ~spl15_42)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f763,f772])).
% 22.36/4.38 thf(f763,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_40),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f761])).
% 22.36/4.38 thf(f1065,plain,(
% 22.36/4.38 spl15_62 | spl15_42 | ~spl15_28 | spl15_58),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f1060,f946,f682,f770,f1062])).
% 22.36/4.38 thf(f1060,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK32 = $true) | (~spl15_28 | spl15_58)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1059])).
% 22.36/4.38 thf(f1059,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK32 = $true) | ($false = $true) | (~spl15_28 | spl15_58)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f1056,f684])).
% 22.36/4.38 thf(f1021,plain,(
% 22.36/4.38 ~spl15_33 | ~spl15_51),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f1020])).
% 22.36/4.38 thf(f1020,plain,(
% 22.36/4.38 $false | (~spl15_33 | ~spl15_51)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f1019])).
% 22.36/4.38 thf(f1019,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_33 | ~spl15_51)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f718,f885])).
% 22.36/4.38 thf(f718,plain,(
% 22.36/4.38 ($true = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_33),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f716])).
% 22.36/4.38 thf(f960,plain,(
% 22.36/4.38 ~spl15_23 | ~spl15_26),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f959])).
% 22.36/4.38 thf(f959,plain,(
% 22.36/4.38 $false | (~spl15_23 | ~spl15_26)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f958])).
% 22.36/4.38 thf(f958,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_23 | ~spl15_26)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f662,f675])).
% 22.36/4.38 thf(f662,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_23),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f660])).
% 22.36/4.38 thf(f954,plain,(
% 22.36/4.38 ~spl15_4 | ~spl15_59),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f231,f951,f93])).
% 22.36/4.38 thf(f231,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f230])).
% 22.36/4.38 thf(f230,plain,(
% 22.36/4.38 (((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f217])).
% 22.36/4.38 thf(f217,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f39])).
% 22.36/4.38 thf(f39,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (($true != (X0 @ (sK2 @ X0) @ (sK3 @ X0))) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 thf(f949,plain,(
% 22.36/4.38 ~spl15_58 | ~spl15_4),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f263,f93,f946])).
% 22.36/4.38 thf(f263,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f262])).
% 22.36/4.38 thf(f262,plain,(
% 22.36/4.38 (((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f241])).
% 22.36/4.38 thf(f241,plain,(
% 22.36/4.38 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f40])).
% 22.36/4.38 thf(f40,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (($true != (X0 @ (sK1 @ X0) @ (sK8 @ X0))) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 thf(f944,plain,(
% 22.36/4.38 spl15_4 | ~spl15_5 | spl15_6 | ~spl15_57),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f943])).
% 22.36/4.38 thf(f943,plain,(
% 22.36/4.38 $false | (spl15_4 | ~spl15_5 | spl15_6 | ~spl15_57)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f942,f941])).
% 22.36/4.38 thf(f941,plain,(
% 22.36/4.38 ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | (spl15_4 | ~spl15_5)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f940,f95])).
% 22.36/4.38 thf(f95,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_4),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f93])).
% 22.36/4.38 thf(f940,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ~spl15_5),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f423,f340])).
% 22.36/4.38 thf(f340,plain,(
% 22.36/4.38 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_5),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f339])).
% 22.36/4.38 thf(f339,definition,(
% 22.36/4.38 spl15_5 <=> ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_5])],[avatar_definition])).
% 22.36/4.38 thf(f423,plain,(
% 22.36/4.38 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f422])).
% 22.36/4.38 thf(f422,plain,(
% 22.36/4.38 (((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f406])).
% 22.36/4.38 thf(f406,plain,(
% 22.36/4.38 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f52])).
% 22.36/4.38 thf(f52,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (($true != (X0 @ (sK14 @ X0) @ (sK13 @ X0))) | ((sP0 @ X0) = $true) | ($true = (sK12 @ X0 @ (sK10 @ X0)))) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f18])).
% 22.36/4.38 thf(f18,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : ((((X0 @ (sK11 @ X0) @ (sK10 @ X0)) = $true) & ($true = (sK12 @ X0 @ (sK10 @ X0))) & ((sK12 @ X0 @ (sK11 @ X0)) != $true)) | (($true != (X0 @ (sK14 @ X0) @ (sK13 @ X0))) & ((X0 @ (sK13 @ X0) @ (sK14 @ X0)) = $true)) | ((sP0 @ X0) = $true))),
% 22.36/4.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f15,f17,f16])).
% 22.36/4.38 thf(f16,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X1 : $o > $o,X2 : $o > $o,X3 : ($o > $o) > $o] : (((X0 @ X2 @ X1) = $true) & ((X3 @ X1) = $true) & ((X3 @ X2) != $true)) => (((X0 @ (sK11 @ X0) @ (sK10 @ X0)) = $true) & ($true = (sK12 @ X0 @ (sK10 @ X0))) & ((sK12 @ X0 @ (sK11 @ X0)) != $true)))),
% 22.36/4.38 introduced(definition,[],[choice_axiom])).
% 22.36/4.38 thf(f17,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X4 : $o > $o,X5 : $o > $o] : (((X0 @ X5 @ X4) != $true) & ($true = (X0 @ X4 @ X5))) => (($true != (X0 @ (sK14 @ X0) @ (sK13 @ X0))) & ((X0 @ (sK13 @ X0) @ (sK14 @ X0)) = $true)))),
% 22.36/4.38 introduced(definition,[],[choice_axiom])).
% 22.36/4.38 thf(f15,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X1 : $o > $o,X2 : $o > $o,X3 : ($o > $o) > $o] : (((X0 @ X2 @ X1) = $true) & ((X3 @ X1) = $true) & ((X3 @ X2) != $true)) | ? [X4 : $o > $o,X5 : $o > $o] : (((X0 @ X5 @ X4) != $true) & ($true = (X0 @ X4 @ X5))) | ((sP0 @ X0) = $true))),
% 22.36/4.38 inference(rectify,[status(thm)],[f10])).
% 22.36/4.38 thf(f10,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X3 : $o > $o,X1 : $o > $o,X2 : ($o > $o) > $o] : (((X0 @ X1 @ X3) = $true) & ((X2 @ X3) = $true) & ((X2 @ X1) != $true)) | ? [X14 : $o > $o,X13 : $o > $o] : (((X0 @ X13 @ X14) != $true) & ($true = (X0 @ X14 @ X13))) | ((sP0 @ X0) = $true))),
% 22.36/4.38 inference(definition_folding,[status(thm)],[f8,f9])).
% 22.36/4.38 thf(f8,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X3 : $o > $o,X1 : $o > $o,X2 : ($o > $o) > $o] : (((X0 @ X1 @ X3) = $true) & ((X2 @ X3) = $true) & ((X2 @ X1) != $true)) | ? [X14 : $o > $o,X13 : $o > $o] : (((X0 @ X13 @ X14) != $true) & ($true = (X0 @ X14 @ X13))) | ? [X7 : $o > $o,X8 : $o > $o,X11 : $o > $o,X9 : ($o > $o) > $o,X12 : ($o > $o) > $o,X4 : ($o > $o) > $o,X6 : $o > $o,X10 : $o > $o,X5 : ($o > $o) > $o] : (((X9 @ X7) != $true) & ((X5 @ X8) != $true) & ((X9 @ X6) = $true) & ($true != (X0 @ X11 @ X6)) & ((X4 @ X8) != $true) & ((X12 @ X10) != $true) & ((X0 @ X7 @ X8) != $true) & ((X4 @ X11) != $true) & ((X0 @ X7 @ X10) != $true) & ((X0 @ X8 @ X11) != $true) & ((X9 @ X10) != $true) & ((X0 @ X7 @ X6) != $true) & ((X12 @ X6) != $true) & ((X0 @ X11 @ X10) != $true) & ((X0 @ X8 @ X6) != $true) & ((X9 @ X11) != $true) & ($true = (X12 @ X8)) & ((X0 @ X6 @ X10) != $true) & ((X5 @ X11) = $true) & ((X0 @ X8 @ X10) != $true) & ((X12 @ X11) != $true) & ($true != (X0 @ X7 @ X11)) & ((X9 @ X8) != $true) & ((X5 @ X10) != $true) & ((X12 @ X7) != $true) & ($true = (X4 @ X10)) & ((X4 @ X6) != $true) & ((X4 @ X7) != $true) & ((X5 @ X6) != $true) & ((X5 @ X7) != $true)))),
% 22.36/4.38 inference(flattening,[status(thm)],[f7])).
% 22.36/4.38 thf(f7,plain,(
% 22.36/4.38 ! [X0 : ($o > $o) > ($o > $o) > $o] : (? [X14 : $o > $o,X13 : $o > $o] : (((X0 @ X13 @ X14) != $true) & ($true = (X0 @ X14 @ X13))) | ? [X4 : ($o > $o) > $o,X5 : ($o > $o) > $o,X10 : $o > $o,X11 : $o > $o,X12 : ($o > $o) > $o,X6 : $o > $o,X7 : $o > $o,X8 : $o > $o,X9 : ($o > $o) > $o] : ((($true != (X0 @ X11 @ X6)) & ((X0 @ X7 @ X8) != $true) & ((X0 @ X11 @ X10) != $true) & ((X0 @ X8 @ X10) != $true) & ((X0 @ X7 @ X6) != $true) & ((X0 @ X8 @ X11) != $true) & ($true != (X0 @ X7 @ X11)) & ((X0 @ X7 @ X10) != $true) & ((X0 @ X6 @ X10) != $true) & ((X0 @ X8 @ X6) != $true)) & (((X4 @ X11) != $true) & ((X5 @ X10) != $true) & ((X5 @ X7) != $true) & ((X9 @ X10) != $true) & ((X12 @ X6) != $true) & ($true = (X12 @ X8)) & ((X9 @ X8) != $true) & ((X5 @ X8) != $true) & ((X4 @ X6) != $true) & ((X9 @ X7) != $true) & ($true = (X4 @ X10)) & ((X9 @ X11) != $true) & ((X12 @ X11) != $true) & ((X4 @ X8) != $true) & ((X12 @ X7) != $true) & ((X9 @ X6) = $true) & ((X4 @ X7) != $true) & ((X12 @ X10) != $true) & ((X5 @ X6) != $true) & ((X5 @ X11) = $true))) | ? [X3 : $o > $o,X1 : $o > $o,X2 : ($o > $o) > $o] : (((X0 @ X1 @ X3) = $true) & (((X2 @ X1) != $true) & ((X2 @ X3) = $true))))),
% 22.36/4.38 inference(ennf_transformation,[status(thm)],[f6])).
% 22.36/4.38 thf(f6,plain,(
% 22.36/4.38 ~? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X14 : $o > $o,X13 : $o > $o] : (($true = (X0 @ X14 @ X13)) => ((X0 @ X13 @ X14) = $true)) & ! [X4 : ($o > $o) > $o,X5 : ($o > $o) > $o,X10 : $o > $o,X11 : $o > $o,X12 : ($o > $o) > $o,X6 : $o > $o,X7 : $o > $o,X8 : $o > $o,X9 : ($o > $o) > $o] : ((((X4 @ X11) != $true) & ((X5 @ X10) != $true) & ((X5 @ X7) != $true) & ((X9 @ X10) != $true) & ((X12 @ X6) != $true) & ($true = (X12 @ X8)) & ((X9 @ X8) != $true) & ((X5 @ X8) != $true) & ((X4 @ X6) != $true) & ((X9 @ X7) != $true) & ($true = (X4 @ X10)) & ((X9 @ X11) != $true) & ((X12 @ X11) != $true) & ((X4 @ X8) != $true) & ((X12 @ X7) != $true) & ((X9 @ X6) = $true) & ((X4 @ X7) != $true) & ((X12 @ X10) != $true) & ((X5 @ X6) != $true) & ((X5 @ X11) = $true)) => (($true = (X0 @ X11 @ X6)) | ((X0 @ X7 @ X8) = $true) | ((X0 @ X11 @ X10) = $true) | ((X0 @ X8 @ X10) = $true) | ((X0 @ X7 @ X6) = $true) | ((X0 @ X8 @ X11) = $true) | ($true = (X0 @ X7 @ X11)) | ((X0 @ X7 @ X10) = $true) | ((X0 @ X6 @ X10) = $true) | ((X0 @ X8 @ X6) = $true))) & ! [X3 : $o > $o,X1 : $o > $o,X2 : ($o > $o) > $o] : ((((X2 @ X1) != $true) & ((X2 @ X3) = $true)) => ((X0 @ X1 @ X3) != $true)))),
% 22.36/4.38 inference(flattening,[status(thm)],[f5])).
% 22.36/4.38 thf(f5,plain,(
% 22.36/4.38 ~? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X1 : $o > $o,X2 : ($o > $o) > $o,X3 : $o > $o] : ((~((X2 @ X1) = $true) & ((X2 @ X3) = $true)) => ~((X0 @ X1 @ X3) = $true)) & ! [X4 : ($o > $o) > $o,X5 : ($o > $o) > $o,X6 : $o > $o,X7 : $o > $o,X8 : $o > $o,X9 : ($o > $o) > $o,X10 : $o > $o,X11 : $o > $o,X12 : ($o > $o) > $o] : ((((X9 @ X6) = $true) & ~((X9 @ X10) = $true) & ($true = (X4 @ X10)) & ~((X5 @ X6) = $true) & ~((X4 @ X8) = $true) & ~((X5 @ X10) = $true) & ~((X9 @ X11) = $true) & ((X5 @ X11) = $true) & ~((X4 @ X11) = $true) & ~((X4 @ X7) = $true) & ~((X12 @ X7) = $true) & ($true = (X12 @ X8)) & ~((X12 @ X10) = $true) & ~((X5 @ X8) = $true) & ~((X4 @ X6) = $true) & ~((X12 @ X6) = $true) & ~((X12 @ X11) = $true) & ~((X5 @ X7) = $true) & ~((X9 @ X8) = $true) & ~((X9 @ X7) = $true)) => (($true = (X0 @ X11 @ X6)) | ((X0 @ X7 @ X8) = $true) | ((X0 @ X11 @ X10) = $true) | ((X0 @ X8 @ X10) = $true) | ((X0 @ X7 @ X6) = $true) | ((X0 @ X8 @ X11) = $true) | ($true = (X0 @ X7 @ X11)) | ((X0 @ X7 @ X10) = $true) | ((X0 @ X6 @ X10) = $true) | ((X0 @ X8 @ X6) = $true))) & ! [X14 : $o > $o,X13 : $o > $o] : (($true = (X0 @ X14 @ X13)) => ((X0 @ X13 @ X14) = $true)))),
% 22.36/4.38 inference(fool_elimination,[status(thm)],[f4])).
% 22.36/4.38 thf(f4,plain,(
% 22.36/4.38 ~? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X1 : $o > $o,X2 : ($o > $o) > $o,X3 : $o > $o] : ((~(X2 @ X1) & (X2 @ X3)) => ~(X0 @ X1 @ X3)) & ! [X4 : ($o > $o) > $o,X5 : ($o > $o) > $o,X6 : $o > $o,X7 : $o > $o,X8 : $o > $o,X9 : ($o > $o) > $o,X10 : $o > $o,X11 : $o > $o,X12 : ($o > $o) > $o] : (((X9 @ X6) & ~(X9 @ X10) & (X4 @ X10) & ~(X5 @ X6) & ~(X4 @ X8) & ~(X5 @ X10) & ~(X9 @ X11) & (X5 @ X11) & ~(X4 @ X11) & ~(X4 @ X7) & ~(X12 @ X7) & (X12 @ X8) & ~(X12 @ X10) & ~(X5 @ X8) & ~(X4 @ X6) & ~(X12 @ X6) & ~(X12 @ X11) & ~(X5 @ X7) & ~(X9 @ X8) & ~(X9 @ X7)) => ((X0 @ X11 @ X6) | (X0 @ X8 @ X6) | (X0 @ X7 @ X8) | (X0 @ X7 @ X6) | (X0 @ X11 @ X10) | (X0 @ X7 @ X10) | (X0 @ X8 @ X11) | (X0 @ X8 @ X10) | (X0 @ X6 @ X10) | (X0 @ X7 @ X11))) & ! [X13 : $o > $o,X14 : $o > $o] : ((X0 @ X14 @ X13) => (X0 @ X13 @ X14)))),
% 22.36/4.38 inference(rectify,[status(thm)],[f2])).
% 22.36/4.38 thf(f2,negated_conjecture,(
% 22.36/4.38 ~? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X4 : $o > $o,X5 : ($o > $o) > $o,X3 : $o > $o] : ((~(X5 @ X4) & (X5 @ X3)) => ~(X0 @ X4 @ X3)) & ! [X5 : ($o > $o) > $o,X10 : ($o > $o) > $o,X4 : $o > $o,X8 : $o > $o,X7 : $o > $o,X9 : ($o > $o) > $o,X3 : $o > $o,X6 : $o > $o,X11 : ($o > $o) > $o] : (((X9 @ X4) & ~(X9 @ X3) & (X5 @ X3) & ~(X10 @ X4) & ~(X5 @ X7) & ~(X10 @ X3) & ~(X9 @ X6) & (X10 @ X6) & ~(X5 @ X6) & ~(X5 @ X8) & ~(X11 @ X8) & (X11 @ X7) & ~(X11 @ X3) & ~(X10 @ X7) & ~(X5 @ X4) & ~(X11 @ X4) & ~(X11 @ X6) & ~(X10 @ X8) & ~(X9 @ X7) & ~(X9 @ X8)) => ((X0 @ X6 @ X4) | (X0 @ X7 @ X4) | (X0 @ X8 @ X7) | (X0 @ X8 @ X4) | (X0 @ X6 @ X3) | (X0 @ X8 @ X3) | (X0 @ X7 @ X6) | (X0 @ X7 @ X3) | (X0 @ X4 @ X3) | (X0 @ X8 @ X6))) & ! [X2 : $o > $o,X1 : $o > $o] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))),
% 22.36/4.38 inference(negated_conjecture,[status(cth)],[f1])).
% 22.36/4.38 thf(f1,conjecture,(
% 22.36/4.38 ? [X0 : ($o > $o) > ($o > $o) > $o] : (! [X4 : $o > $o,X5 : ($o > $o) > $o,X3 : $o > $o] : ((~(X5 @ X4) & (X5 @ X3)) => ~(X0 @ X4 @ X3)) & ! [X5 : ($o > $o) > $o,X10 : ($o > $o) > $o,X4 : $o > $o,X8 : $o > $o,X7 : $o > $o,X9 : ($o > $o) > $o,X3 : $o > $o,X6 : $o > $o,X11 : ($o > $o) > $o] : (((X9 @ X4) & ~(X9 @ X3) & (X5 @ X3) & ~(X10 @ X4) & ~(X5 @ X7) & ~(X10 @ X3) & ~(X9 @ X6) & (X10 @ X6) & ~(X5 @ X6) & ~(X5 @ X8) & ~(X11 @ X8) & (X11 @ X7) & ~(X11 @ X3) & ~(X10 @ X7) & ~(X5 @ X4) & ~(X11 @ X4) & ~(X11 @ X6) & ~(X10 @ X8) & ~(X9 @ X7) & ~(X9 @ X8)) => ((X0 @ X6 @ X4) | (X0 @ X7 @ X4) | (X0 @ X8 @ X7) | (X0 @ X8 @ X4) | (X0 @ X6 @ X3) | (X0 @ X8 @ X3) | (X0 @ X7 @ X6) | (X0 @ X7 @ X3) | (X0 @ X4 @ X3) | (X0 @ X8 @ X6))) & ! [X2 : $o > $o,X1 : $o > $o] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))),
% 22.36/4.38 file('/export/starexec/sandbox/tmp/tmp.bCFsY8Bm1y/DTF2THF_27030.p',ramsey_l_2_5_4)).
% 22.36/4.38 thf(f942,plain,(
% 22.36/4.38 ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | (spl15_6 | ~spl15_57)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f345,f936])).
% 22.36/4.38 thf(f936,plain,(
% 22.36/4.38 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_57),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f934])).
% 22.36/4.38 thf(f934,definition,(
% 22.36/4.38 spl15_57 <=> ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_57])],[avatar_definition])).
% 22.36/4.38 thf(f345,plain,(
% 22.36/4.38 ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | spl15_6),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f343])).
% 22.36/4.38 thf(f343,definition,(
% 22.36/4.38 spl15_6 <=> ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_6])],[avatar_definition])).
% 22.36/4.38 thf(f937,plain,(
% 22.36/4.38 ~spl15_5 | spl15_57 | spl15_4),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f565,f93,f934,f339])).
% 22.36/4.38 thf(f565,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f564])).
% 22.36/4.38 thf(f564,plain,(
% 22.36/4.38 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f563])).
% 22.36/4.38 thf(f563,plain,(
% 22.36/4.38 (((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | (((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f500])).
% 22.36/4.38 thf(f500,plain,(
% 22.36/4.38 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f54])).
% 22.36/4.38 thf(f54,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (($true != (X0 @ (sK14 @ X0) @ (sK13 @ X0))) | ((X0 @ (sK11 @ X0) @ (sK10 @ X0)) = $true) | ((sP0 @ X0) = $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f18])).
% 22.36/4.38 thf(f932,plain,(
% 22.36/4.38 spl15_4 | ~spl15_6 | ~spl15_5),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f330,f339,f343,f93])).
% 22.36/4.38 thf(f330,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f329])).
% 22.36/4.38 thf(f329,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | (((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f313])).
% 22.36/4.38 thf(f313,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f50])).
% 22.36/4.38 thf(f50,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (($true != (X0 @ (sK14 @ X0) @ (sK13 @ X0))) | ((sP0 @ X0) = $true) | ((sK12 @ X0 @ (sK11 @ X0)) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f18])).
% 22.36/4.38 thf(f931,plain,(
% 22.36/4.38 ~spl15_4 | ~spl15_56),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f136,f928,f93])).
% 22.36/4.38 thf(f136,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f135])).
% 22.36/4.38 thf(f135,plain,(
% 22.36/4.38 ($true != ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f121])).
% 22.36/4.38 thf(f121,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true != ((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))))),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f31])).
% 22.36/4.38 thf(f31,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK7 @ X0) @ (sK8 @ X0)) != $true) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 thf(f926,plain,(
% 22.36/4.38 ~spl15_55 | ~spl15_4),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f295,f93,f923])).
% 22.36/4.38 thf(f295,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f294])).
% 22.36/4.38 thf(f294,plain,(
% 22.36/4.38 (((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f289])).
% 22.36/4.38 thf(f289,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true)),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f45])).
% 22.36/4.38 thf(f45,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK3 @ X0) @ (sK7 @ X0)) != $true) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 thf(f921,plain,(
% 22.36/4.38 ~spl15_4 | ~spl15_54),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f271,f918,f93])).
% 22.36/4.38 thf(f271,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f270])).
% 22.36/4.38 thf(f270,plain,(
% 22.36/4.38 (((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f265])).
% 22.36/4.38 thf(f265,plain,(
% 22.36/4.38 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f42])).
% 22.36/4.38 thf(f42,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (($true != (X0 @ (sK1 @ X0) @ (sK2 @ X0))) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 thf(f916,plain,(
% 22.36/4.38 ~spl15_53 | ~spl15_4),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f213,f93,f913])).
% 22.36/4.38 thf(f213,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f212])).
% 22.36/4.38 thf(f212,plain,(
% 22.36/4.38 (((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f193])).
% 22.36/4.38 thf(f193,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true != ((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))))),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f37])).
% 22.36/4.38 thf(f37,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK1 @ X0) @ (sK7 @ X0)) != $true) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 thf(f911,plain,(
% 22.36/4.38 ~spl15_4 | ~spl15_27 | ~spl15_32 | ~spl15_45 | ~spl15_48),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f910])).
% 22.36/4.38 thf(f910,plain,(
% 22.36/4.38 $false | (~spl15_4 | ~spl15_27 | ~spl15_32 | ~spl15_45 | ~spl15_48)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f909])).
% 22.36/4.38 thf(f909,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_4 | ~spl15_27 | ~spl15_32 | ~spl15_45 | ~spl15_48)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f908,f701])).
% 22.36/4.38 thf(f908,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_27 | ~spl15_45 | ~spl15_48)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f907])).
% 22.36/4.38 thf(f907,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($false = $true) | (~spl15_4 | ~spl15_27 | ~spl15_45 | ~spl15_48)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f906,f904])).
% 22.36/4.38 thf(f904,plain,(
% 22.36/4.38 ($false = sK27) | (~spl15_4 | ~spl15_27 | ~spl15_45)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f903])).
% 22.36/4.38 thf(f903,plain,(
% 22.36/4.38 ($false = $true) | ($false = sK27) | (~spl15_4 | ~spl15_27 | ~spl15_45)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f902,f807])).
% 22.36/4.38 thf(f902,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK27) | (~spl15_4 | ~spl15_27)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f901])).
% 22.36/4.38 thf(f901,plain,(
% 22.36/4.38 ($false = sK27) | ($false = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_4 | ~spl15_27)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f899,f679])).
% 22.36/4.38 thf(f899,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK27) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f895])).
% 22.36/4.38 thf(f895,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK27) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f894])).
% 22.36/4.38 thf(f894,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK27) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK27)) | ~spl15_4),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f642])).
% 22.36/4.38 thf(f642,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_4),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f295,f94])).
% 22.36/4.38 thf(f906,plain,(
% 22.36/4.38 ($true = sK27) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | (~spl15_4 | ~spl15_48)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f905])).
% 22.36/4.38 thf(f905,plain,(
% 22.36/4.38 ($false = $true) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($true = sK27) | (~spl15_4 | ~spl15_48)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f897,f821])).
% 22.36/4.38 thf(f897,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ($true = sK27) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f896])).
% 22.36/4.38 thf(f896,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($true = sK27) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f894])).
% 22.36/4.38 thf(f893,plain,(
% 22.36/4.38 spl15_52 | spl15_37 | ~spl15_4 | ~spl15_28),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f888,f682,f93,f734,f890])).
% 22.36/4.38 thf(f888,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK26 = $true) | (~spl15_4 | ~spl15_28)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f887])).
% 22.36/4.38 thf(f887,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = $true) | (sK26 = $true) | (~spl15_4 | ~spl15_28)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f873,f684])).
% 22.36/4.38 thf(f873,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK26 = $true) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f871])).
% 22.36/4.38 thf(f871,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK26 = $true) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f869])).
% 22.36/4.38 thf(f869,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK26) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK26)) | ~spl15_4),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f641])).
% 22.36/4.38 thf(f641,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_4),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f271,f94])).
% 22.36/4.38 thf(f886,plain,(
% 22.36/4.38 spl15_50 | spl15_51 | ~spl15_4 | ~spl15_23),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f877,f660,f93,f883,f879])).
% 22.36/4.38 thf(f877,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK26) | (~spl15_4 | ~spl15_23)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f876])).
% 22.36/4.38 thf(f876,plain,(
% 22.36/4.38 ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = $true) | ($false = sK26) | (~spl15_4 | ~spl15_23)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f875,f662])).
% 22.36/4.38 thf(f875,plain,(
% 22.36/4.38 ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK26) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f870])).
% 22.36/4.38 thf(f870,plain,(
% 22.36/4.38 ($false = sK26) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f869])).
% 22.36/4.38 thf(f854,plain,(
% 22.36/4.38 spl15_42 | spl15_32 | ~spl15_4 | ~spl15_27 | ~spl15_38),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f853,f752,f677,f93,f699,f770])).
% 22.36/4.38 thf(f853,plain,(
% 22.36/4.38 ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (~spl15_4 | ~spl15_27 | ~spl15_38)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f852])).
% 22.36/4.38 thf(f852,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = $true) | (~spl15_4 | ~spl15_27 | ~spl15_38)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f845,f851])).
% 22.36/4.38 thf(f851,plain,(
% 22.36/4.38 ($false = sK24) | (~spl15_4 | ~spl15_27 | ~spl15_38)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f850])).
% 22.36/4.38 thf(f850,plain,(
% 22.36/4.38 ($false = $true) | ($false = sK24) | (~spl15_4 | ~spl15_27 | ~spl15_38)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f849,f679])).
% 22.36/4.38 thf(f849,plain,(
% 22.36/4.38 ($false = sK24) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_4 | ~spl15_38)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f848])).
% 22.36/4.38 thf(f848,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = $true) | ($false = sK24) | (~spl15_4 | ~spl15_38)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f846,f754])).
% 22.36/4.38 thf(f846,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK24) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f842])).
% 22.36/4.38 thf(f842,plain,(
% 22.36/4.38 ($false = sK24) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f841])).
% 22.36/4.38 thf(f841,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK24) != (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK24)) | ~spl15_4),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f639])).
% 22.36/4.38 thf(f639,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_4),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f182,f94])).
% 22.36/4.38 thf(f845,plain,(
% 22.36/4.38 (sK24 = $true) | ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f843])).
% 22.36/4.38 thf(f843,plain,(
% 22.36/4.38 (sK24 = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f841])).
% 22.36/4.38 thf(f839,plain,(
% 22.36/4.38 spl15_48 | spl15_42 | ~spl15_4 | ~spl15_38 | ~spl15_45),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f838,f805,f752,f93,f770,f819])).
% 22.36/4.38 thf(f838,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (~spl15_4 | ~spl15_38 | ~spl15_45)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f837])).
% 22.36/4.38 thf(f837,plain,(
% 22.36/4.38 ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = $true) | (~spl15_4 | ~spl15_38 | ~spl15_45)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f827,f833])).
% 22.36/4.38 thf(f833,plain,(
% 22.36/4.38 ($false = sK23) | (~spl15_4 | ~spl15_38 | ~spl15_45)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f832])).
% 22.36/4.38 thf(f832,plain,(
% 22.36/4.38 ($false = $true) | ($false = sK23) | (~spl15_4 | ~spl15_38 | ~spl15_45)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f831,f754])).
% 22.36/4.38 thf(f831,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK23) | (~spl15_4 | ~spl15_45)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f830])).
% 22.36/4.38 thf(f830,plain,(
% 22.36/4.38 ($false = sK23) | ($false = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | (~spl15_4 | ~spl15_45)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f828,f807])).
% 22.36/4.38 thf(f828,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK23) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f824])).
% 22.36/4.38 thf(f824,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK23) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f823])).
% 22.36/4.38 thf(f823,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK23) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK23)) | ~spl15_4),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f638])).
% 22.36/4.38 thf(f638,plain,(
% 22.36/4.38 ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_4),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f136,f94])).
% 22.36/4.38 thf(f827,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | (sK23 = $true) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f825])).
% 22.36/4.38 thf(f825,plain,(
% 22.36/4.38 (sK23 = $true) | ((sK8 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f823])).
% 22.36/4.38 thf(f822,plain,(
% 22.36/4.38 spl15_46 | spl15_37 | spl15_48 | ~spl15_4),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f795,f93,f819,f734,f810])).
% 22.36/4.38 thf(f795,plain,(
% 22.36/4.38 ($true = sK22) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f793])).
% 22.36/4.38 thf(f793,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($true = sK22) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f791])).
% 22.36/4.38 thf(f791,plain,(
% 22.36/4.38 ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK22) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK22)) | ~spl15_4),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f637])).
% 22.36/4.38 thf(f637,plain,(
% 22.36/4.38 ((sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ~spl15_4),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f168,f94])).
% 22.36/4.38 thf(f808,plain,(
% 22.36/4.38 spl15_44 | spl15_45 | ~spl15_4 | ~spl15_33),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f799,f716,f93,f805,f801])).
% 22.36/4.38 thf(f799,plain,(
% 22.36/4.38 ($false = sK22) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | (~spl15_4 | ~spl15_33)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f798])).
% 22.36/4.38 thf(f798,plain,(
% 22.36/4.38 ($false = sK22) | ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = $true) | (~spl15_4 | ~spl15_33)),
% 22.36/4.38 inference(forward_demodulation,[status(thm)],[f797,f718])).
% 22.36/4.38 thf(f797,plain,(
% 22.36/4.38 ($false = (sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = sK22) | ~spl15_4),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f792])).
% 22.36/4.38 thf(f792,plain,(
% 22.36/4.38 ($false = sK22) | ((sK7 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK2 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ~spl15_4),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f791])).
% 22.36/4.38 thf(f705,plain,(
% 22.36/4.38 ~spl15_24 | ~spl15_30),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f704])).
% 22.36/4.38 thf(f704,plain,(
% 22.36/4.38 $false | (~spl15_24 | ~spl15_30)),
% 22.36/4.38 inference(trivial_inequality_removal,[status(thm)],[f703])).
% 22.36/4.38 thf(f703,plain,(
% 22.36/4.38 ($false = $true) | (~spl15_24 | ~spl15_30)),
% 22.36/4.38 inference(backward_demodulation,[status(thm)],[f692,f666])).
% 22.36/4.38 thf(f666,plain,(
% 22.36/4.38 ($false = sK18) | ~spl15_24),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f664])).
% 22.36/4.38 thf(f664,definition,(
% 22.36/4.38 spl15_24 <=> ($false = sK18)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_24])],[avatar_definition])).
% 22.36/4.38 thf(f692,plain,(
% 22.36/4.38 ($true = sK18) | ~spl15_30),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f690])).
% 22.36/4.38 thf(f690,definition,(
% 22.36/4.38 spl15_30 <=> ($true = sK18)),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_30])],[avatar_definition])).
% 22.36/4.38 thf(f702,plain,(
% 22.36/4.38 spl15_30 | spl15_31 | spl15_32 | spl15_3),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f656,f89,f699,f695,f690])).
% 22.36/4.38 thf(f89,definition,(
% 22.36/4.38 spl15_3 <=> ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 introduced(definition,[new_symbols(naming,[spl15_3])],[avatar_definition])).
% 22.36/4.38 thf(f656,plain,(
% 22.36/4.38 ($true = sK18) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_3),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f654])).
% 22.36/4.38 thf(f654,plain,(
% 22.36/4.38 ($true = sK18) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) != (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false)) | spl15_3),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f652])).
% 22.36/4.38 thf(f652,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK18) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ sK18)) | spl15_3),
% 22.36/4.38 inference(negative_extensionality,[status(thm)],[f91])).
% 22.36/4.38 thf(f91,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_3),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f89])).
% 22.36/4.38 thf(f693,plain,(
% 22.36/4.38 spl15_28 | spl15_29 | spl15_30 | spl15_3),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f655,f89,f690,f686,f682])).
% 22.36/4.38 thf(f655,plain,(
% 22.36/4.38 ($true = sK18) | ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $false) = $true) | spl15_3),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f654])).
% 22.36/4.38 thf(f680,plain,(
% 22.36/4.38 spl15_24 | spl15_26 | spl15_27 | spl15_3),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f658,f89,f677,f673,f664])).
% 22.36/4.38 thf(f658,plain,(
% 22.36/4.38 ($false = sK18) | ($false = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | ($false = (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_3),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f653])).
% 22.36/4.38 thf(f653,plain,(
% 22.36/4.38 ($false = sK18) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true)) | spl15_3),
% 22.36/4.38 inference(cases_simplifying,[status(thm)],[f652])).
% 22.36/4.38 thf(f671,plain,(
% 22.36/4.38 spl15_23 | spl15_24 | spl15_25 | spl15_3),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f657,f89,f668,f664,f660])).
% 22.36/4.38 thf(f657,plain,(
% 22.36/4.38 ((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | ($false = sK18) | ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ $true) = $true) | spl15_3),
% 22.36/4.38 inference(binary_proxy_clausification,[status(thm)],[f653])).
% 22.36/4.38 thf(f633,plain,(
% 22.36/4.38 spl15_4 | spl15_5),
% 22.36/4.38 inference(avatar_contradiction_clause,[status(thm)],[f632])).
% 22.36/4.38 thf(f632,plain,(
% 22.36/4.38 $false | (spl15_4 | spl15_5)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f631,f388])).
% 22.36/4.38 thf(f388,plain,(
% 22.36/4.38 ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | (spl15_4 | spl15_5)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f387,f95])).
% 22.36/4.38 thf(f387,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | spl15_5),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f373,f341])).
% 22.36/4.38 thf(f341,plain,(
% 22.36/4.38 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_5),
% 22.36/4.38 inference(avatar_component_clause,[status(thm)],[f339])).
% 22.36/4.38 thf(f373,plain,(
% 22.36/4.38 ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f372])).
% 22.36/4.38 thf(f372,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f358])).
% 22.36/4.38 thf(f358,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f51])).
% 22.36/4.38 thf(f51,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK13 @ X0) @ (sK14 @ X0)) = $true) | ((sP0 @ X0) = $true) | ($true = (sK12 @ X0 @ (sK10 @ X0)))) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f18])).
% 22.36/4.38 thf(f631,plain,(
% 22.36/4.38 ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | (spl15_4 | spl15_5)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f630,f95])).
% 22.36/4.38 thf(f630,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | (spl15_4 | spl15_5)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f627,f341])).
% 22.36/4.38 thf(f627,plain,(
% 22.36/4.38 ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | (spl15_4 | spl15_5)),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f626])).
% 22.36/4.38 thf(f626,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | (((sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | (spl15_4 | spl15_5)),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f625])).
% 22.36/4.38 thf(f625,plain,(
% 22.36/4.38 ((sK12 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (spl15_4 | spl15_5)),
% 22.36/4.38 inference(superposition,[status(thm)],[f49,f499])).
% 22.36/4.38 thf(f499,plain,(
% 22.36/4.38 ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (spl15_4 | spl15_5)),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f498,f95])).
% 22.36/4.38 thf(f498,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | spl15_5),
% 22.36/4.38 inference(subsumption_resolution,[status(thm)],[f438,f341])).
% 22.36/4.38 thf(f438,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f437])).
% 22.36/4.38 thf(f437,plain,(
% 22.36/4.38 (((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ((sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f436])).
% 22.36/4.38 thf(f436,plain,(
% 22.36/4.38 ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | (((sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f431])).
% 22.36/4.38 thf(f431,plain,(
% 22.36/4.38 (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK11 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK10 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true) | ($true = (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | (((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK13 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK14 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) = $true)),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f53])).
% 22.36/4.38 thf(f53,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK13 @ X0) @ (sK14 @ X0)) = $true) | ((sP0 @ X0) = $true) | ((X0 @ (sK11 @ X0) @ (sK10 @ X0)) = $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f18])).
% 22.36/4.38 thf(f49,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((sK12 @ X0 @ (sK11 @ X0)) != $true) | ((sP0 @ X0) = $true) | ((X0 @ (sK13 @ X0) @ (sK14 @ X0)) = $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f18])).
% 22.36/4.38 thf(f96,plain,(
% 22.36/4.38 ~spl15_3 | ~spl15_4),
% 22.36/4.38 inference(avatar_split_clause,[status(thm)],[f61,f93,f89])).
% 22.36/4.38 thf(f61,plain,(
% 22.36/4.38 ((sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(equality_proxy_clausification,[status(thm)],[f60])).
% 22.36/4.38 thf(f60,plain,(
% 22.36/4.38 (((sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) != $true) | ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))))),
% 22.36/4.38 inference(beta_eta_normalization,[status(thm)],[f55])).
% 22.36/4.38 thf(f55,plain,(
% 22.36/4.38 ($true != (sP0 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))) | ($true != ((^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $o > $o]: ((^[Y1 : $o > $o]: (Y1 = Y0)))))))),
% 22.36/4.38 inference(primitive_instantiation,[status(thm)],[f27])).
% 22.36/4.38 thf(f27,plain,(
% 22.36/4.38 ( ! [X0 : ($o > $o) > ($o > $o) > $o] : (((X0 @ (sK1 @ X0) @ (sK3 @ X0)) != $true) | ((sP0 @ X0) != $true)) )),
% 22.36/4.38 inference(cnf_transformation,[status(thm)],[f14])).
% 22.36/4.38 % SZS output end Proof for DTF2THF_27030
% 22.36/4.38 % (27534)------------------------------
% 22.36/4.38 % (27534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.36/4.38 % (27534)Termination reason: Refutation
% 22.36/4.38
% 22.36/4.38 % (27534)Memory used [KB]: 6396
% 22.36/4.38 % (27534)Time elapsed: 0.072 s
% 22.36/4.38 % (27534)Instructions burned: 197 (million)
% 22.36/4.38 % (27534)------------------------------
% 22.36/4.38 % (27534)------------------------------
% 22.36/4.38 % (27355)Success in time 3.107 s
%------------------------------------------------------------------------------