%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU788^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 09:37:12 AM UTC 2026
% Result : Theorem 38.40s 6.70s
% Output : Refutation 38.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 63
% Syntax : Number of formulae : 280 ( 43 unt; 0 typ; 35 def)
% Number of atoms : 5548 (1362 equ; 0 cnn)
% Maximal formula atoms : 21 ( 19 avg)
% Number of connectives : 6630 (1232 ~;1194 |; 254 &;3777 @)
% ( 45 <=>; 128 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 77 ( 74 usr; 66 con; 0-3 aty)
% Number of variables : 626 ( 0 ^; 494 !; 132 ?; 626 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
subset: $i > $i > $o ).
thf(func_def_4,type,
binunion: $i > $i > $i ).
thf(func_def_5,type,
kpair: $i > $i > $i ).
thf(func_def_6,type,
breln1: $i > $i > $o ).
thf(func_def_14,type,
sK0: $i > $i > $i > $i ).
thf(func_def_15,type,
sK1: $i > $i > $i > $i ).
thf(func_def_42,type,
sF28: $i > $o ).
thf(func_def_44,type,
sF30: $i > $i ).
thf(func_def_46,type,
sF32: $i > $i ).
thf(f1426,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f164,f173,f232,f236,f240,f258,f259,f264,f270,f276,f280,f281,f300,f311,f312,f346,f375,f376,f385,f388,f440,f443,f519,f527,f863,f1364,f1374,f1403,f1425]) ).
thf(f1425,plain,
( spl35_67
| ~ spl35_27
| ~ spl35_31
| ~ spl35_52
| spl35_82
| ~ spl35_83 ),
inference(avatar_split_clause,[status(thm)],[f1424,f1372,f1361,f383,f278,f256,f757]) ).
thf(f757,definition,
( spl35_67
<=> ! [X0: $i] :
( ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_67])],[avatar_definition]) ).
thf(f256,definition,
( spl35_27
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X0 @ X2 )
= $true )
| ( ( in @ ( sK0 @ X2 @ X1 @ X0 ) @ X1 )
= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_27])],[avatar_definition]) ).
thf(f278,definition,
( spl35_31
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( in @ ( sK1 @ X2 @ X1 @ X0 ) @ X1 )
= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_31])],[avatar_definition]) ).
thf(f383,definition,
( spl35_52
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_52])],[avatar_definition]) ).
thf(f1361,definition,
( spl35_82
<=> ( ( subset @ sF33 @ sF31 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl35_82])],[avatar_definition]) ).
thf(f1372,definition,
( spl35_83
<=> ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl35_83])],[avatar_definition]) ).
thf(f1424,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true ) )
| ~ spl35_27
| ~ spl35_31
| ~ spl35_52
| spl35_82
| ~ spl35_83 ),
inference(subsumption_resolution,[status(thm)],[f1423,f497]) ).
thf(f497,plain,
( ! [X0: $i] :
( ( $true
= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true ) )
| ~ spl35_52 ),
inference(superposition,[status(thm)],[f407,f130]) ).
thf(f130,definition,
( ( sF32 @ sK20 )
= sF33 ),
introduced(definition,[],[function_definition]) ).
thf(f407,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ ( sF32 @ X0 ) )
= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true ) )
| ~ spl35_52 ),
inference(superposition,[status(thm)],[f384,f394]) ).
thf(f394,plain,
! [X1: $i] :
( ( sF32 @ X1 )
= ( binunion @ sK22 @ X1 ) ),
inference(argument_congruence,[status(thm)],[f129]) ).
thf(f129,definition,
( ( binunion @ sK22 )
= sF32 ),
introduced(definition,[],[function_definition]) ).
thf(f384,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( breln1 @ X0 @ X2 )
!= $true ) )
| ~ spl35_52 ),
inference(avatar_component_clause,[status(thm)],[f383]) ).
thf(f1423,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_27
| ~ spl35_31
| ~ spl35_52
| spl35_82
| ~ spl35_83 ),
inference(subsumption_resolution,[status(thm)],[f1422,f412]) ).
thf(f412,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true ) )
| ~ spl35_52 ),
inference(superposition,[status(thm)],[f406,f128]) ).
thf(f128,definition,
( sF31
= ( sF30 @ sK22 ) ),
introduced(definition,[],[function_definition]) ).
thf(f406,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ ( sF30 @ X0 ) )
= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X1 @ X0 )
!= $true ) )
| ~ spl35_52 ),
inference(superposition,[status(thm)],[f384,f393]) ).
thf(f393,plain,
! [X1: $i] :
( ( sF30 @ X1 )
= ( binunion @ sK20 @ X1 ) ),
inference(argument_congruence,[status(thm)],[f127]) ).
thf(f127,definition,
( sF30
= ( binunion @ sK20 ) ),
introduced(definition,[],[function_definition]) ).
thf(f1422,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_27
| ~ spl35_31
| ~ spl35_52
| spl35_82
| ~ spl35_83 ),
inference(subsumption_resolution,[status(thm)],[f1421,f1362]) ).
thf(f1362,plain,
( ( ( subset @ sF33 @ sF31 )
!= $true )
| spl35_82 ),
inference(avatar_component_clause,[status(thm)],[f1361]) ).
thf(f1421,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) ) )
| ~ spl35_27
| ~ spl35_31
| ~ spl35_52
| spl35_82
| ~ spl35_83 ),
inference(trivial_inequality_removal,[status(thm)],[f1420]) ).
thf(f1420,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true ) )
| ~ spl35_27
| ~ spl35_31
| ~ spl35_52
| spl35_82
| ~ spl35_83 ),
inference(superposition,[status(thm)],[f1419,f257]) ).
thf(f257,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( sK0 @ X2 @ X1 @ X0 ) @ X1 )
= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true ) )
| ~ spl35_27 ),
inference(avatar_component_clause,[status(thm)],[f256]) ).
thf(f1419,plain,
( ! [X0: $i] :
( ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X0 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_31
| ~ spl35_52
| spl35_82
| ~ spl35_83 ),
inference(subsumption_resolution,[status(thm)],[f1418,f412]) ).
thf(f1418,plain,
( ! [X0: $i] :
( ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X0 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_31
| ~ spl35_52
| spl35_82
| ~ spl35_83 ),
inference(subsumption_resolution,[status(thm)],[f1417,f497]) ).
thf(f1417,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X0 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true ) )
| ~ spl35_31
| spl35_82
| ~ spl35_83 ),
inference(subsumption_resolution,[status(thm)],[f1416,f1362]) ).
thf(f1416,plain,
( ! [X0: $i] :
( ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X0 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) ) )
| ~ spl35_31
| ~ spl35_83 ),
inference(trivial_inequality_removal,[status(thm)],[f1415]) ).
thf(f1415,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X0 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( subset @ sF33 @ sF31 )
= $true ) )
| ~ spl35_31
| ~ spl35_83 ),
inference(duplicate_literal_removal,[status(thm)],[f1414]) ).
thf(f1414,plain,
( ! [X0: $i] :
( ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X0 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( $true != $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true ) )
| ~ spl35_31
| ~ spl35_83 ),
inference(superposition,[status(thm)],[f1373,f279]) ).
thf(f279,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( sK1 @ X2 @ X1 @ X0 ) @ X1 )
= $true )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true ) )
| ~ spl35_31 ),
inference(avatar_component_clause,[status(thm)],[f278]) ).
thf(f1373,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) ) )
| ~ spl35_83 ),
inference(avatar_component_clause,[status(thm)],[f1372]) ).
thf(f1403,plain,
( spl35_67
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_27
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(avatar_split_clause,[status(thm)],[f1402,f1361,f383,f373,f344,f298,f278,f256,f238,f234,f230,f757]) ).
thf(f230,definition,
( spl35_21
<=> ! [X5: $i,X9: $i,X7: $i,X6: $i,X8: $i] :
( ( ( in @ X9 @ X6 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
= $true )
| ( $true
!= ( in @ X8 @ X6 ) )
| ( ( breln1 @ X6 @ X5 )
!= $true )
| ( $true
!= ( breln1 @ X6 @ X7 ) )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X5 )
= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_21])],[avatar_definition]) ).
thf(f234,definition,
( spl35_22
<=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_22])],[avatar_definition]) ).
thf(f238,definition,
( spl35_23
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X0 @ X2 )
= $true )
| ( ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X0 )
= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_23])],[avatar_definition]) ).
thf(f298,definition,
( spl35_35
<=> ! [X5: $i,X9: $i,X7: $i,X6: $i,X8: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
!= $true )
| ( $true
!= ( breln1 @ X6 @ X7 ) )
| ( ( breln1 @ X6 @ X5 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
= $true )
| ( $true
!= ( in @ X8 @ X6 ) )
| ( ( in @ X9 @ X6 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_35])],[avatar_definition]) ).
thf(f344,definition,
( spl35_44
<=> ! [X4: $i,X0: $i,X3: $i,X2: $i,X1: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_44])],[avatar_definition]) ).
thf(f373,definition,
( spl35_50
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X2 ) )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_50])],[avatar_definition]) ).
thf(f1402,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_27
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1401,f497]) ).
thf(f1401,plain,
( ! [X0: $i] :
( ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_27
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1400,f412]) ).
thf(f1400,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_27
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1399,f1377]) ).
thf(f1377,plain,
( ( ( subset @ sF31 @ sF33 )
!= $true )
| ~ spl35_22
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1376,f131]) ).
thf(f131,plain,
sF31 != sF33,
inference(definition_folding,[status(thm)],[f114,f130,f129,f128,f127]) ).
thf(f114,plain,
( ( binunion @ sK20 @ sK22 )
!= ( binunion @ sK22 @ sK20 ) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f69,plain,
( ( breln1unionE = $true )
& ( $true
= ( breln1 @ sK21 @ sK20 ) )
& ( ( binunion @ sK20 @ sK22 )
!= ( binunion @ sK22 @ sK20 ) )
& ( ( breln1 @ sK21 @ sK22 )
= $true )
& ( breln1unionIL = $true )
& ( breln1unionIR = $true )
& ( subbreln1 = $true )
& ( breln1unionprop = $true )
& ( setextsub = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f31,f68,f67]) ).
thf(f67,plain,
( ? [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X0 )
= $true )
& ? [X2: $i] :
( ( ( binunion @ X0 @ X2 )
!= ( binunion @ X2 @ X0 ) )
& ( ( breln1 @ X1 @ X2 )
= $true ) ) )
=> ( ( $true
= ( breln1 @ sK21 @ sK20 ) )
& ? [X2: $i] :
( ( ( binunion @ sK20 @ X2 )
!= ( binunion @ X2 @ sK20 ) )
& ( ( breln1 @ sK21 @ X2 )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f68,plain,
( ? [X2: $i] :
( ( ( binunion @ sK20 @ X2 )
!= ( binunion @ X2 @ sK20 ) )
& ( ( breln1 @ sK21 @ X2 )
= $true ) )
=> ( ( ( binunion @ sK20 @ sK22 )
!= ( binunion @ sK22 @ sK20 ) )
& ( ( breln1 @ sK21 @ sK22 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f31,plain,
( ( breln1unionE = $true )
& ? [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X0 )
= $true )
& ? [X2: $i] :
( ( ( binunion @ X0 @ X2 )
!= ( binunion @ X2 @ X0 ) )
& ( ( breln1 @ X1 @ X2 )
= $true ) ) )
& ( breln1unionIL = $true )
& ( breln1unionIR = $true )
& ( subbreln1 = $true )
& ( breln1unionprop = $true )
& ( setextsub = $true ) ),
inference(flattening,[status(thm)],[f30]) ).
thf(f30,plain,
( ? [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X0 )
= $true )
& ? [X2: $i] :
( ( ( binunion @ X0 @ X2 )
!= ( binunion @ X2 @ X0 ) )
& ( ( breln1 @ X1 @ X2 )
= $true ) ) )
& ( breln1unionE = $true )
& ( breln1unionIR = $true )
& ( breln1unionIL = $true )
& ( breln1unionprop = $true )
& ( subbreln1 = $true )
& ( setextsub = $true ) ),
inference(ennf_transformation,[status(thm)],[f23]) ).
thf(f23,plain,
~ ( ( setextsub = $true )
=> ( ( subbreln1 = $true )
=> ( ( breln1unionprop = $true )
=> ( ( breln1unionIL = $true )
=> ( ( breln1unionIR = $true )
=> ( ( breln1unionE = $true )
=> ! [X1: $i,X0: $i] :
( ( ( breln1 @ X1 @ X0 )
= $true )
=> ! [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
=> ( ( binunion @ X0 @ X2 )
= ( binunion @ X2 @ X0 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f22]) ).
thf(f22,plain,
~ ( setextsub
=> ( subbreln1
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionE
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X1 @ X0 )
=> ! [X2: $i] :
( ( breln1 @ X1 @ X2 )
=> ( ( binunion @ X0 @ X2 )
= ( binunion @ X2 @ X0 ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,negated_conjecture,
~ ( setextsub
=> ( subbreln1
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionE
=> ! [X2: $i,X0: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ( ( binunion @ X2 @ X3 )
= ( binunion @ X3 @ X2 ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
thf(f7,conjecture,
( setextsub
=> ( subbreln1
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionE
=> ! [X2: $i,X0: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ( ( binunion @ X2 @ X3 )
= ( binunion @ X3 @ X2 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionCommutes) ).
thf(f1376,plain,
( ( ( subset @ sF31 @ sF33 )
!= $true )
| ( sF31 = sF33 )
| ~ spl35_22
| ~ spl35_82 ),
inference(trivial_inequality_removal,[status(thm)],[f1375]) ).
thf(f1375,plain,
( ( $true != $true )
| ( ( subset @ sF31 @ sF33 )
!= $true )
| ( sF31 = sF33 )
| ~ spl35_22
| ~ spl35_82 ),
inference(superposition,[status(thm)],[f235,f1363]) ).
thf(f1363,plain,
( ( ( subset @ sF33 @ sF31 )
= $true )
| ~ spl35_82 ),
inference(avatar_component_clause,[status(thm)],[f1361]) ).
thf(f235,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ~ spl35_22 ),
inference(avatar_component_clause,[status(thm)],[f234]) ).
thf(f1399,plain,
( ! [X0: $i] :
( ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( subset @ sF31 @ sF33 )
= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_27
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(trivial_inequality_removal,[status(thm)],[f1398]) ).
thf(f1398,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( subset @ sF31 @ sF33 )
= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_27
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(superposition,[status(thm)],[f1397,f257]) ).
thf(f1397,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1396,f412]) ).
thf(f1396,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1395,f497]) ).
thf(f1395,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1394,f1377]) ).
thf(f1394,plain,
( ! [X0: $i] :
( ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( subset @ sF31 @ sF33 )
= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(trivial_inequality_removal,[status(thm)],[f1393]) ).
thf(f1393,plain,
( ! [X0: $i] :
( ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( $true != $true )
| ( ( subset @ sF31 @ sF33 )
= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(duplicate_literal_removal,[status(thm)],[f1392]) ).
thf(f1392,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true != $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( ( subset @ sF31 @ sF33 )
= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(superposition,[status(thm)],[f1391,f279]) ).
thf(f1391,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1390,f412]) ).
thf(f1390,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_52
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1389,f497]) ).
thf(f1389,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1388,f1377]) ).
thf(f1388,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ sF31 @ sF33 )
= $true )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_82 ),
inference(trivial_inequality_removal,[status(thm)],[f1387]) ).
thf(f1387,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( subset @ sF31 @ sF33 )
= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_82 ),
inference(duplicate_literal_removal,[status(thm)],[f1386]) ).
thf(f1386,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( $true != $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X0 ) )
| ( ( subset @ sF31 @ sF33 )
= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_31
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_82 ),
inference(superposition,[status(thm)],[f1385,f279]) ).
thf(f1385,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X2 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X2 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) )
| ( $true
!= ( breln1 @ X1 @ sK20 ) ) )
| ~ spl35_21
| ~ spl35_22
| ~ spl35_23
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50
| ~ spl35_82 ),
inference(subsumption_resolution,[status(thm)],[f1384,f1377]) ).
thf(f1384,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X2 ) )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) )
| ( ( subset @ sF31 @ sF33 )
= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) ) )
| ~ spl35_21
| ~ spl35_23
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50 ),
inference(trivial_inequality_removal,[status(thm)],[f1383]) ).
thf(f1383,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X2 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X2 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true != $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( subset @ sF31 @ sF33 )
= $true ) )
| ~ spl35_21
| ~ spl35_23
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50 ),
inference(duplicate_literal_removal,[status(thm)],[f1380]) ).
thf(f1380,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ sF31 @ sF33 )
= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X1 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X1 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ sF31 ) @ X2 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF33 @ X0 @ sF31 ) @ X2 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( $true != $true )
| ( ( subset @ sF31 @ sF33 )
= $true ) )
| ~ spl35_21
| ~ spl35_23
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50 ),
inference(superposition,[status(thm)],[f920,f239]) ).
thf(f239,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X0 )
= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true ) )
| ~ spl35_23 ),
inference(avatar_component_clause,[status(thm)],[f238]) ).
thf(f920,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ ( sK0 @ sF33 @ X0 @ X1 ) @ ( sK1 @ sF33 @ X0 @ X1 ) ) @ sF31 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( ( breln1 @ X3 @ sK20 )
!= $true )
| ( ( breln1 @ X3 @ sK22 )
!= $true )
| ( $true
= ( subset @ X1 @ sF33 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X3 )
!= $true )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X3 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true ) )
| ~ spl35_21
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50 ),
inference(subsumption_resolution,[status(thm)],[f918,f678]) ).
thf(f678,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ ( kpair @ ( sK0 @ sF33 @ X0 @ X1 ) @ ( sK1 @ sF33 @ X0 @ X1 ) ) @ sK20 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( $true
= ( subset @ X1 @ sF33 ) )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true ) )
| ~ spl35_35
| ~ spl35_50 ),
inference(trivial_inequality_removal,[status(thm)],[f677]) ).
thf(f677,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true != $true )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( $true
!= ( in @ ( kpair @ ( sK0 @ sF33 @ X0 @ X1 ) @ ( sK1 @ sF33 @ X0 @ X1 ) ) @ sK20 ) )
| ( $true
= ( subset @ X1 @ sF33 ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ~ spl35_35
| ~ spl35_50 ),
inference(superposition,[status(thm)],[f374,f674]) ).
thf(f674,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ ( kpair @ X0 @ X1 ) @ sF33 ) )
| ( ( in @ X1 @ X2 )
!= $true )
| ( ( in @ X0 @ X2 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ ( kpair @ X0 @ X1 ) @ sK20 )
!= $true ) )
| ~ spl35_35 ),
inference(superposition,[status(thm)],[f666,f130]) ).
thf(f666,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X1 @ X2 ) @ ( sF32 @ X0 ) )
= $true )
| ( ( in @ X1 @ X3 )
!= $true )
| ( ( breln1 @ X3 @ sK22 )
!= $true )
| ( ( in @ ( kpair @ X1 @ X2 ) @ X0 )
!= $true )
| ( $true
!= ( breln1 @ X3 @ X0 ) )
| ( ( in @ X2 @ X3 )
!= $true ) )
| ~ spl35_35 ),
inference(superposition,[status(thm)],[f299,f394]) ).
thf(f299,plain,
( ! [X8: $i,X6: $i,X9: $i,X7: $i,X5: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
= $true )
| ( $true
!= ( in @ X8 @ X6 ) )
| ( ( breln1 @ X6 @ X5 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
!= $true )
| ( $true
!= ( breln1 @ X6 @ X7 ) )
| ( ( in @ X9 @ X6 )
!= $true ) )
| ~ spl35_35 ),
inference(avatar_component_clause,[status(thm)],[f298]) ).
thf(f374,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X2 ) )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true ) )
| ~ spl35_50 ),
inference(avatar_component_clause,[status(thm)],[f373]) ).
thf(f918,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( in @ ( kpair @ ( sK0 @ sF33 @ X0 @ X1 ) @ ( sK1 @ sF33 @ X0 @ X1 ) ) @ sF31 )
!= $true )
| ( $true
= ( subset @ X1 @ sF33 ) )
| ( $true
= ( in @ ( kpair @ ( sK0 @ sF33 @ X0 @ X1 ) @ ( sK1 @ sF33 @ X0 @ X1 ) ) @ sK20 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X3 )
!= $true )
| ( ( breln1 @ X3 @ sK20 )
!= $true )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X3 )
!= $true )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( breln1 @ X3 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) ) )
| ~ spl35_21
| ~ spl35_44
| ~ spl35_50 ),
inference(trivial_inequality_removal,[status(thm)],[f914]) ).
thf(f914,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( breln1 @ X3 @ sK22 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X3 )
!= $true )
| ( $true
= ( subset @ X1 @ sF33 ) )
| ( ( breln1 @ X3 @ sK20 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true
= ( in @ ( kpair @ ( sK0 @ sF33 @ X0 @ X1 ) @ ( sK1 @ sF33 @ X0 @ X1 ) ) @ sK20 ) )
| ( ( in @ ( kpair @ ( sK0 @ sF33 @ X0 @ X1 ) @ ( sK1 @ sF33 @ X0 @ X1 ) ) @ sF31 )
!= $true )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X3 )
!= $true ) )
| ~ spl35_21
| ~ spl35_44
| ~ spl35_50 ),
inference(superposition,[status(thm)],[f692,f699]) ).
thf(f699,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X0 @ X1 ) @ sK22 )
= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( in @ X0 @ X2 )
!= $true )
| ( ( in @ X1 @ X2 )
!= $true )
| ( ( in @ ( kpair @ X0 @ X1 ) @ sK20 )
= $true )
| ( ( in @ ( kpair @ X0 @ X1 ) @ sF31 )
!= $true ) )
| ~ spl35_21 ),
inference(superposition,[status(thm)],[f693,f128]) ).
thf(f693,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X1 @ X2 ) @ ( sF30 @ X0 ) )
!= $true )
| ( ( in @ ( kpair @ X1 @ X2 ) @ sK20 )
= $true )
| ( ( breln1 @ X3 @ sK20 )
!= $true )
| ( $true
!= ( breln1 @ X3 @ X0 ) )
| ( ( in @ ( kpair @ X1 @ X2 ) @ X0 )
= $true )
| ( ( in @ X1 @ X3 )
!= $true )
| ( ( in @ X2 @ X3 )
!= $true ) )
| ~ spl35_21 ),
inference(superposition,[status(thm)],[f231,f393]) ).
thf(f231,plain,
( ! [X8: $i,X6: $i,X9: $i,X7: $i,X5: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
!= $true )
| ( ( in @ X9 @ X6 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
= $true )
| ( $true
!= ( in @ X8 @ X6 ) )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X5 )
= $true )
| ( $true
!= ( breln1 @ X6 @ X7 ) )
| ( ( breln1 @ X6 @ X5 )
!= $true ) )
| ~ spl35_21 ),
inference(avatar_component_clause,[status(thm)],[f230]) ).
thf(f692,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ ( sK0 @ sF33 @ X0 @ X1 ) @ ( sK1 @ sF33 @ X0 @ X1 ) ) @ sK22 )
!= $true )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
= ( subset @ X1 @ sF33 ) )
| ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ~ spl35_44
| ~ spl35_50 ),
inference(trivial_inequality_removal,[status(thm)],[f691]) ).
thf(f691,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
= ( subset @ X1 @ sF33 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK1 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( ( in @ ( sK0 @ sF33 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( in @ ( kpair @ ( sK0 @ sF33 @ X0 @ X1 ) @ ( sK1 @ sF33 @ X0 @ X1 ) ) @ sK22 )
!= $true ) )
| ~ spl35_44
| ~ spl35_50 ),
inference(superposition,[status(thm)],[f374,f688]) ).
thf(f688,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ ( kpair @ X0 @ X1 ) @ sF33 ) )
| ( ( in @ ( kpair @ X0 @ X1 ) @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( in @ X0 @ X2 )
!= $true )
| ( ( in @ X1 @ X2 )
!= $true ) )
| ~ spl35_44 ),
inference(superposition,[status(thm)],[f680,f130]) ).
thf(f680,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X1 @ X2 ) @ ( sF32 @ X0 ) )
= $true )
| ( ( in @ X1 @ X3 )
!= $true )
| ( $true
!= ( breln1 @ X3 @ X0 ) )
| ( ( in @ ( kpair @ X1 @ X2 ) @ sK22 )
!= $true )
| ( ( in @ X2 @ X3 )
!= $true )
| ( ( breln1 @ X3 @ sK22 )
!= $true ) )
| ~ spl35_44 ),
inference(superposition,[status(thm)],[f345,f394]) ).
thf(f345,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ X4 @ X0 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( in @ X3 @ X0 )
!= $true )
| ( ( breln1 @ X0 @ X2 )
!= $true ) )
| ~ spl35_44 ),
inference(avatar_component_clause,[status(thm)],[f344]) ).
thf(f1374,plain,
( spl35_83
| spl35_82
| ~ spl35_27
| ~ spl35_31
| ~ spl35_52
| ~ spl35_81 ),
inference(avatar_split_clause,[status(thm)],[f1370,f1358,f383,f278,f256,f1361,f1372]) ).
thf(f1358,definition,
( spl35_81
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X2 )
!= $true )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X2 ) )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl35_81])],[avatar_definition]) ).
thf(f1370,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true ) )
| ~ spl35_27
| ~ spl35_31
| ~ spl35_52
| ~ spl35_81 ),
inference(subsumption_resolution,[status(thm)],[f1369,f497]) ).
thf(f1369,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X0 @ sK22 )
!= $true ) )
| ~ spl35_27
| ~ spl35_31
| ~ spl35_52
| ~ spl35_81 ),
inference(subsumption_resolution,[status(thm)],[f1368,f412]) ).
thf(f1368,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_27
| ~ spl35_31
| ~ spl35_81 ),
inference(subsumption_resolution,[status(thm)],[f1367,f257]) ).
thf(f1367,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X0 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true ) )
| ~ spl35_31
| ~ spl35_81 ),
inference(trivial_inequality_removal,[status(thm)],[f1366]) ).
thf(f1366,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X0 )
!= $true )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_31
| ~ spl35_81 ),
inference(duplicate_literal_removal,[status(thm)],[f1365]) ).
thf(f1365,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X0 )
!= $true ) )
| ~ spl35_31
| ~ spl35_81 ),
inference(superposition,[status(thm)],[f1359,f279]) ).
thf(f1359,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X2 ) )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X2 )
!= $true )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true ) )
| ~ spl35_81 ),
inference(avatar_component_clause,[status(thm)],[f1358]) ).
thf(f1364,plain,
( spl35_81
| spl35_82
| ~ spl35_21
| ~ spl35_23
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50 ),
inference(avatar_split_clause,[status(thm)],[f1354,f373,f344,f298,f238,f230,f1361,f1358]) ).
thf(f1354,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X2 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X2 ) )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true ) )
| ~ spl35_21
| ~ spl35_23
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50 ),
inference(trivial_inequality_removal,[status(thm)],[f1353]) ).
thf(f1353,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( $true != $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X2 ) )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true ) )
| ~ spl35_21
| ~ spl35_23
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50 ),
inference(duplicate_literal_removal,[status(thm)],[f1352]) ).
thf(f1352,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ sF33 @ sF31 )
= $true )
| ( $true
!= ( breln1 @ X1 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X2 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( in @ ( sK1 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( $true != $true )
| ( $true
!= ( breln1 @ X0 @ sF33 ) )
| ( ( subset @ sF33 @ sF31 )
= $true )
| ( ( breln1 @ X1 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ sF33 ) @ X1 )
!= $true ) )
| ~ spl35_21
| ~ spl35_23
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50 ),
inference(superposition,[status(thm)],[f720,f239]) ).
thf(f720,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ ( sK0 @ sF31 @ X0 @ X1 ) @ ( sK1 @ sF31 @ X0 @ X1 ) ) @ sF33 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X2 ) )
| ( ( subset @ X1 @ sF31 )
= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X3 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X3 )
!= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( breln1 @ X3 @ sK22 )
!= $true )
| ( ( breln1 @ X3 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true ) )
| ~ spl35_21
| ~ spl35_35
| ~ spl35_44
| ~ spl35_50 ),
inference(subsumption_resolution,[status(thm)],[f718,f687]) ).
thf(f687,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ ( sK0 @ sF31 @ X0 @ X1 ) @ ( sK1 @ sF31 @ X0 @ X1 ) ) @ sK20 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( subset @ X1 @ sF31 )
= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X2 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X2 ) ) )
| ~ spl35_44
| ~ spl35_50 ),
inference(trivial_inequality_removal,[status(thm)],[f686]) ).
thf(f686,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X2 ) )
| ( ( subset @ X1 @ sF31 )
= $true )
| ( ( in @ ( kpair @ ( sK0 @ sF31 @ X0 @ X1 ) @ ( sK1 @ sF31 @ X0 @ X1 ) ) @ sK20 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true ) )
| ~ spl35_44
| ~ spl35_50 ),
inference(superposition,[status(thm)],[f374,f683]) ).
thf(f683,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X0 @ X1 ) @ sF31 )
= $true )
| ( ( in @ X1 @ X2 )
!= $true )
| ( ( in @ ( kpair @ X0 @ X1 ) @ sK20 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ X0 @ X2 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true ) )
| ~ spl35_44 ),
inference(superposition,[status(thm)],[f679,f128]) ).
thf(f679,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X1 @ X2 ) @ ( sF30 @ X0 ) )
= $true )
| ( ( in @ X2 @ X3 )
!= $true )
| ( ( in @ ( kpair @ X1 @ X2 ) @ sK20 )
!= $true )
| ( ( in @ X1 @ X3 )
!= $true )
| ( ( breln1 @ X3 @ sK20 )
!= $true )
| ( $true
!= ( breln1 @ X3 @ X0 ) ) )
| ~ spl35_44 ),
inference(superposition,[status(thm)],[f345,f393]) ).
thf(f718,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( breln1 @ X3 @ sK20 )
!= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X3 )
!= $true )
| ( ( subset @ X1 @ sF31 )
= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X2 )
!= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X2 ) )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ ( kpair @ ( sK0 @ sF31 @ X0 @ X1 ) @ ( sK1 @ sF31 @ X0 @ X1 ) ) @ sF33 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X3 ) )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( in @ ( kpair @ ( sK0 @ sF31 @ X0 @ X1 ) @ ( sK1 @ sF31 @ X0 @ X1 ) ) @ sK20 )
= $true )
| ( ( breln1 @ X3 @ sK22 )
!= $true ) )
| ~ spl35_21
| ~ spl35_35
| ~ spl35_50 ),
inference(trivial_inequality_removal,[status(thm)],[f713]) ).
thf(f713,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X2 ) )
| ( ( in @ ( kpair @ ( sK0 @ sF31 @ X0 @ X1 ) @ ( sK1 @ sF31 @ X0 @ X1 ) ) @ sF33 )
!= $true )
| ( ( in @ ( kpair @ ( sK0 @ sF31 @ X0 @ X1 ) @ ( sK1 @ sF31 @ X0 @ X1 ) ) @ sK20 )
= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X3 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( breln1 @ X3 @ sK20 )
!= $true )
| ( ( subset @ X1 @ sF31 )
= $true )
| ( ( breln1 @ X3 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X3 ) ) )
| ~ spl35_21
| ~ spl35_35
| ~ spl35_50 ),
inference(superposition,[status(thm)],[f673,f706]) ).
thf(f706,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X0 @ X1 ) @ sK22 )
= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( in @ X0 @ X2 )
!= $true )
| ( ( in @ X1 @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( $true
!= ( in @ ( kpair @ X0 @ X1 ) @ sF33 ) )
| ( ( in @ ( kpair @ X0 @ X1 ) @ sK20 )
= $true ) )
| ~ spl35_21 ),
inference(superposition,[status(thm)],[f694,f130]) ).
thf(f694,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X1 @ X2 ) @ ( sF32 @ X0 ) )
!= $true )
| ( ( in @ ( kpair @ X1 @ X2 ) @ X0 )
= $true )
| ( ( in @ X1 @ X3 )
!= $true )
| ( ( in @ ( kpair @ X1 @ X2 ) @ sK22 )
= $true )
| ( $true
!= ( breln1 @ X3 @ X0 ) )
| ( ( breln1 @ X3 @ sK22 )
!= $true )
| ( ( in @ X2 @ X3 )
!= $true ) )
| ~ spl35_21 ),
inference(superposition,[status(thm)],[f231,f394]) ).
thf(f673,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ ( sK0 @ sF31 @ X0 @ X1 ) @ ( sK1 @ sF31 @ X0 @ X1 ) ) @ sK22 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X2 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( subset @ X1 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X2 )
!= $true ) )
| ~ spl35_35
| ~ spl35_50 ),
inference(trivial_inequality_removal,[status(thm)],[f672]) ).
thf(f672,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ sF31 )
!= $true )
| ( ( in @ ( sK0 @ sF31 @ X0 @ X1 ) @ X2 )
!= $true )
| ( $true
!= ( in @ ( sK1 @ sF31 @ X0 @ X1 ) @ X2 ) )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( subset @ X1 @ sF31 )
= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( $true != $true )
| ( ( in @ ( kpair @ ( sK0 @ sF31 @ X0 @ X1 ) @ ( sK1 @ sF31 @ X0 @ X1 ) ) @ sK22 )
!= $true ) )
| ~ spl35_35
| ~ spl35_50 ),
inference(superposition,[status(thm)],[f374,f669]) ).
thf(f669,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X0 @ X1 ) @ sF31 )
= $true )
| ( ( breln1 @ X2 @ sK22 )
!= $true )
| ( ( in @ ( kpair @ X0 @ X1 ) @ sK22 )
!= $true )
| ( ( in @ X0 @ X2 )
!= $true )
| ( $true
!= ( breln1 @ X2 @ sK20 ) )
| ( ( in @ X1 @ X2 )
!= $true ) )
| ~ spl35_35 ),
inference(superposition,[status(thm)],[f665,f128]) ).
thf(f665,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ ( kpair @ X1 @ X2 ) @ ( sF30 @ X0 ) )
= $true )
| ( ( breln1 @ X3 @ sK20 )
!= $true )
| ( $true
!= ( breln1 @ X3 @ X0 ) )
| ( ( in @ X2 @ X3 )
!= $true )
| ( ( in @ X1 @ X3 )
!= $true )
| ( ( in @ ( kpair @ X1 @ X2 ) @ X0 )
!= $true ) )
| ~ spl35_35 ),
inference(superposition,[status(thm)],[f299,f393]) ).
thf(f863,plain,
( spl35_4
| ~ spl35_54
| ~ spl35_67 ),
inference(avatar_contradiction_clause,[status(thm)],[f862]) ).
thf(f862,plain,
( $false
| spl35_4
| ~ spl35_54
| ~ spl35_67 ),
inference(subsumption_resolution,[status(thm)],[f861,f153]) ).
thf(f153,plain,
( ( $false
!= ( sF28 @ sK22 ) )
| spl35_4 ),
inference(avatar_component_clause,[status(thm)],[f152]) ).
thf(f152,definition,
( spl35_4
<=> ( $false
= ( sF28 @ sK22 ) ) ),
introduced(definition,[new_symbols(naming,[spl35_4])],[avatar_definition]) ).
thf(f861,plain,
( ( $false
= ( sF28 @ sK22 ) )
| ~ spl35_54
| ~ spl35_67 ),
inference(subsumption_resolution,[status(thm)],[f857,f422]) ).
thf(f422,plain,
( ( $true
= ( breln1 @ sK21 @ sK20 ) )
| ~ spl35_54 ),
inference(avatar_component_clause,[status(thm)],[f421]) ).
thf(f421,definition,
( spl35_54
<=> ( $true
= ( breln1 @ sK21 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl35_54])],[avatar_definition]) ).
thf(f857,plain,
( ( $true
!= ( breln1 @ sK21 @ sK20 ) )
| ( $false
= ( sF28 @ sK22 ) )
| ~ spl35_67 ),
inference(trivial_inequality_removal,[status(thm)],[f856]) ).
thf(f856,plain,
( ( $false
= ( sF28 @ sK22 ) )
| ( $true != $true )
| ( $true
!= ( breln1 @ sK21 @ sK20 ) )
| ~ spl35_67 ),
inference(superposition,[status(thm)],[f758,f391]) ).
thf(f391,plain,
! [X1: $i] :
( ( ( breln1 @ sK21 @ X1 )
= $true )
| ( $false
= ( sF28 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f390]) ).
thf(f390,plain,
! [X1: $i] :
( ( breln1 @ sK21 @ X1 )
= ( sF28 @ X1 ) ),
inference(argument_congruence,[status(thm)],[f124]) ).
thf(f124,definition,
( ( breln1 @ sK21 )
= sF28 ),
introduced(definition,[],[function_definition]) ).
thf(f758,plain,
( ! [X0: $i] :
( ( ( breln1 @ X0 @ sK22 )
!= $true )
| ( ( breln1 @ X0 @ sK20 )
!= $true ) )
| ~ spl35_67 ),
inference(avatar_component_clause,[status(thm)],[f757]) ).
thf(f527,plain,
( ~ spl35_8
| ~ spl35_9 ),
inference(avatar_contradiction_clause,[status(thm)],[f526]) ).
thf(f526,plain,
( $false
| ~ spl35_8
| ~ spl35_9 ),
inference(trivial_inequality_removal,[status(thm)],[f525]) ).
thf(f525,plain,
( ( $false = $true )
| ~ spl35_8
| ~ spl35_9 ),
inference(backward_demodulation,[status(thm)],[f177,f172]) ).
thf(f172,plain,
( ( $false = sF29 )
| ~ spl35_8 ),
inference(avatar_component_clause,[status(thm)],[f170]) ).
thf(f170,definition,
( spl35_8
<=> ( $false = sF29 ) ),
introduced(definition,[new_symbols(naming,[spl35_8])],[avatar_definition]) ).
thf(f177,plain,
( ( $true = sF29 )
| ~ spl35_9 ),
inference(avatar_component_clause,[status(thm)],[f175]) ).
thf(f175,definition,
( spl35_9
<=> ( $true = sF29 ) ),
introduced(definition,[new_symbols(naming,[spl35_9])],[avatar_definition]) ).
thf(f519,plain,
( ~ spl35_4
| ~ spl35_6 ),
inference(avatar_contradiction_clause,[status(thm)],[f518]) ).
thf(f518,plain,
( $false
| ~ spl35_4
| ~ spl35_6 ),
inference(trivial_inequality_removal,[status(thm)],[f517]) ).
thf(f517,plain,
( ( $false = $true )
| ~ spl35_4
| ~ spl35_6 ),
inference(backward_demodulation,[status(thm)],[f163,f154]) ).
thf(f154,plain,
( ( $false
= ( sF28 @ sK22 ) )
| ~ spl35_4 ),
inference(avatar_component_clause,[status(thm)],[f152]) ).
thf(f163,plain,
( ( ( sF28 @ sK22 )
= $true )
| ~ spl35_6 ),
inference(avatar_component_clause,[status(thm)],[f161]) ).
thf(f161,definition,
( spl35_6
<=> ( ( sF28 @ sK22 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl35_6])],[avatar_definition]) ).
thf(f443,plain,
( ~ spl35_7
| ~ spl35_10 ),
inference(avatar_contradiction_clause,[status(thm)],[f442]) ).
thf(f442,plain,
( $false
| ~ spl35_7
| ~ spl35_10 ),
inference(trivial_inequality_removal,[status(thm)],[f441]) ).
thf(f441,plain,
( ( $false = $true )
| ~ spl35_7
| ~ spl35_10 ),
inference(backward_demodulation,[status(thm)],[f168,f181]) ).
thf(f181,plain,
( ( $false
= ( sF28 @ sK20 ) )
| ~ spl35_10 ),
inference(avatar_component_clause,[status(thm)],[f179]) ).
thf(f179,definition,
( spl35_10
<=> ( $false
= ( sF28 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl35_10])],[avatar_definition]) ).
thf(f168,plain,
( ( ( sF28 @ sK20 )
= $true )
| ~ spl35_7 ),
inference(avatar_component_clause,[status(thm)],[f166]) ).
thf(f166,definition,
( spl35_7
<=> ( ( sF28 @ sK20 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl35_7])],[avatar_definition]) ).
thf(f440,plain,
( spl35_10
| spl35_54 ),
inference(avatar_split_clause,[status(thm)],[f439,f421,f179]) ).
thf(f439,plain,
( ( $false
= ( sF28 @ sK20 ) )
| spl35_54 ),
inference(trivial_inequality_removal,[status(thm)],[f438]) ).
thf(f438,plain,
( ( $true != $true )
| ( $false
= ( sF28 @ sK20 ) )
| spl35_54 ),
inference(superposition,[status(thm)],[f423,f391]) ).
thf(f423,plain,
( ( $true
!= ( breln1 @ sK21 @ sK20 ) )
| spl35_54 ),
inference(avatar_component_clause,[status(thm)],[f421]) ).
thf(f388,plain,
( ~ spl35_3
| ~ spl35_5 ),
inference(avatar_contradiction_clause,[status(thm)],[f387]) ).
thf(f387,plain,
( $false
| ~ spl35_3
| ~ spl35_5 ),
inference(trivial_inequality_removal,[status(thm)],[f386]) ).
thf(f386,plain,
( ( $false = $true )
| ~ spl35_3
| ~ spl35_5 ),
inference(forward_demodulation,[status(thm)],[f150,f159]) ).
thf(f159,plain,
( ( sF34 = $false )
| ~ spl35_5 ),
inference(avatar_component_clause,[status(thm)],[f157]) ).
thf(f157,definition,
( spl35_5
<=> ( sF34 = $false ) ),
introduced(definition,[new_symbols(naming,[spl35_5])],[avatar_definition]) ).
thf(f150,plain,
( ( sF34 = $true )
| ~ spl35_3 ),
inference(avatar_component_clause,[status(thm)],[f148]) ).
thf(f148,definition,
( spl35_3
<=> ( sF34 = $true ) ),
introduced(definition,[new_symbols(naming,[spl35_3])],[avatar_definition]) ).
thf(f385,plain,
( spl35_52
| ~ spl35_26 ),
inference(avatar_split_clause,[status(thm)],[f107,f251,f383]) ).
thf(f251,definition,
( spl35_26
<=> ( breln1unionprop = $true ) ),
introduced(definition,[new_symbols(naming,[spl35_26])],[avatar_definition]) ).
thf(f107,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ( ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) )
= $true )
| ( breln1unionprop != $true )
| ( ( breln1 @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
thf(f66,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ( ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) )
= $true ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( breln1unionprop != $true ) )
& ( ( breln1unionprop = $true )
| ( ( ( breln1 @ sK17 @ sK19 )
= $true )
& ( $true
!= ( breln1 @ sK17 @ ( binunion @ sK18 @ sK19 ) ) )
& ( ( breln1 @ sK17 @ sK18 )
= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f63,f65,f64]) ).
thf(f64,plain,
( ? [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( ( breln1 @ X3 @ X5 )
= $true )
& ( ( breln1 @ X3 @ ( binunion @ X4 @ X5 ) )
!= $true ) )
& ( ( breln1 @ X3 @ X4 )
= $true ) )
=> ( ? [X5: $i] :
( ( ( breln1 @ sK17 @ X5 )
= $true )
& ( ( breln1 @ sK17 @ ( binunion @ sK18 @ X5 ) )
!= $true ) )
& ( ( breln1 @ sK17 @ sK18 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f65,plain,
( ? [X5: $i] :
( ( ( breln1 @ sK17 @ X5 )
= $true )
& ( ( breln1 @ sK17 @ ( binunion @ sK18 @ X5 ) )
!= $true ) )
=> ( ( ( breln1 @ sK17 @ sK19 )
= $true )
& ( $true
!= ( breln1 @ sK17 @ ( binunion @ sK18 @ sK19 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f63,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ( ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) )
= $true ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( breln1unionprop != $true ) )
& ( ( breln1unionprop = $true )
| ? [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( ( breln1 @ X3 @ X5 )
= $true )
& ( ( breln1 @ X3 @ ( binunion @ X4 @ X5 ) )
!= $true ) )
& ( ( breln1 @ X3 @ X4 )
= $true ) ) ) ),
inference(rectify,[status(thm)],[f62]) ).
thf(f62,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ( ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) )
= $true ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( breln1unionprop != $true ) )
& ( ( breln1unionprop = $true )
| ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
& ( ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) )
!= $true ) )
& ( ( breln1 @ X0 @ X1 )
= $true ) ) ) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
thf(f34,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ( ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) )
= $true ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
<=> ( breln1unionprop = $true ) ),
inference(ennf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
( ( breln1unionprop = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
=> ( ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) )
= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f18]) ).
thf(f18,plain,
! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ( breln1 @ X0 @ ( binunion @ X1 @ X2 ) ) ) )
= breln1unionprop ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
! [X0: $i,X2: $i] :
( ( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ( breln1 @ X0 @ ( binunion @ X2 @ X3 ) ) ) )
= breln1unionprop ),
file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionprop) ).
thf(f376,plain,
spl35_9,
inference(avatar_split_clause,[status(thm)],[f126,f175]) ).
thf(f126,plain,
$true = sF29,
inference(definition_folding,[status(thm)],[f115,f125,f124]) ).
thf(f125,definition,
( ( sF28 @ sK20 )
= sF29 ),
introduced(definition,[],[function_definition]) ).
thf(f115,plain,
( $true
= ( breln1 @ sK21 @ sK20 ) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f375,plain,
( spl35_50
| ~ spl35_14 ),
inference(avatar_split_clause,[status(thm)],[f81,f197,f373]) ).
thf(f197,definition,
( spl35_14
<=> ( subbreln1 = $true ) ),
introduced(definition,[new_symbols(naming,[spl35_14])],[avatar_definition]) ).
thf(f81,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X2 ) )
| ( subbreln1 != $true )
| ( ( breln1 @ X1 @ X0 )
!= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
thf(f43,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X0 )
!= $true )
| ! [X2: $i] :
( ( ( ( in @ ( sK0 @ X2 @ X1 @ X0 ) @ X1 )
= $true )
& ( ( in @ ( sK1 @ X2 @ X1 @ X0 ) @ X1 )
= $true )
& ( ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X0 )
= $true )
& ( $true
!= ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X2 ) ) )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true ) ) )
| ( subbreln1 != $true ) )
& ( ( subbreln1 = $true )
| ( ( ( breln1 @ sK3 @ sK2 )
= $true )
& ! [X8: $i] :
( ( $true
!= ( in @ X8 @ sK3 ) )
| ! [X9: $i] :
( ( ( in @ X9 @ sK3 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ sK2 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ sK4 )
= $true ) ) )
& ( ( breln1 @ sK3 @ sK4 )
= $true )
& ( ( subset @ sK2 @ sK4 )
!= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f38,f42,f41,f40,f39]) ).
thf(f39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ? [X3: $i] :
( ( $true
= ( in @ X3 @ X1 ) )
& ? [X4: $i] :
( ( ( in @ X4 @ X1 )
= $true )
& ( $true
= ( in @ ( kpair @ X3 @ X4 ) @ X0 ) )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) )
=> ( ( ( in @ ( sK0 @ X2 @ X1 @ X0 ) @ X1 )
= $true )
& ? [X4: $i] :
( ( ( in @ X4 @ X1 )
= $true )
& ( ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ X4 ) @ X0 )
= $true )
& ( ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ X4 ) @ X2 )
!= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ? [X4: $i] :
( ( ( in @ X4 @ X1 )
= $true )
& ( ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ X4 ) @ X0 )
= $true )
& ( ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ X4 ) @ X2 )
!= $true ) )
=> ( ( ( in @ ( sK1 @ X2 @ X1 @ X0 ) @ X1 )
= $true )
& ( ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X0 )
= $true )
& ( $true
!= ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X2 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f41,plain,
( ? [X5: $i,X6: $i] :
( ( ( breln1 @ X6 @ X5 )
= $true )
& ? [X7: $i] :
( ! [X8: $i] :
( ( $true
!= ( in @ X8 @ X6 ) )
| ! [X9: $i] :
( ( ( in @ X9 @ X6 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X5 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
= $true ) ) )
& ( $true
= ( breln1 @ X6 @ X7 ) )
& ( ( subset @ X5 @ X7 )
!= $true ) ) )
=> ( ( ( breln1 @ sK3 @ sK2 )
= $true )
& ? [X7: $i] :
( ! [X8: $i] :
( ( $true
!= ( in @ X8 @ sK3 ) )
| ! [X9: $i] :
( ( ( in @ X9 @ sK3 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ sK2 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
= $true ) ) )
& ( ( breln1 @ sK3 @ X7 )
= $true )
& ( ( subset @ sK2 @ X7 )
!= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f42,plain,
( ? [X7: $i] :
( ! [X8: $i] :
( ( $true
!= ( in @ X8 @ sK3 ) )
| ! [X9: $i] :
( ( ( in @ X9 @ sK3 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ sK2 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
= $true ) ) )
& ( ( breln1 @ sK3 @ X7 )
= $true )
& ( ( subset @ sK2 @ X7 )
!= $true ) )
=> ( ! [X8: $i] :
( ( $true
!= ( in @ X8 @ sK3 ) )
| ! [X9: $i] :
( ( ( in @ X9 @ sK3 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ sK2 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ sK4 )
= $true ) ) )
& ( ( breln1 @ sK3 @ sK4 )
= $true )
& ( ( subset @ sK2 @ sK4 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f38,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X0 )
!= $true )
| ! [X2: $i] :
( ? [X3: $i] :
( ( $true
= ( in @ X3 @ X1 ) )
& ? [X4: $i] :
( ( ( in @ X4 @ X1 )
= $true )
& ( $true
= ( in @ ( kpair @ X3 @ X4 ) @ X0 ) )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true ) ) )
| ( subbreln1 != $true ) )
& ( ( subbreln1 = $true )
| ? [X5: $i,X6: $i] :
( ( ( breln1 @ X6 @ X5 )
= $true )
& ? [X7: $i] :
( ! [X8: $i] :
( ( $true
!= ( in @ X8 @ X6 ) )
| ! [X9: $i] :
( ( ( in @ X9 @ X6 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X5 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
= $true ) ) )
& ( $true
= ( breln1 @ X6 @ X7 ) )
& ( ( subset @ X5 @ X7 )
!= $true ) ) ) ) ),
inference(rectify,[status(thm)],[f37]) ).
thf(f37,plain,
( ( ! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
!= $true )
| ! [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
& ? [X4: $i] :
( ( ( in @ X4 @ X0 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) )
| ( ( breln1 @ X0 @ X2 )
!= $true )
| ( $true
= ( subset @ X1 @ X2 ) ) ) )
| ( subbreln1 != $true ) )
& ( ( subbreln1 = $true )
| ? [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
& ? [X2: $i] :
( ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ! [X4: $i] :
( ( ( in @ X4 @ X0 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) )
& ( ( breln1 @ X0 @ X2 )
= $true )
& ( $true
!= ( subset @ X1 @ X2 ) ) ) ) ) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
thf(f27,plain,
( ! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
!= $true )
| ! [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
& ? [X4: $i] :
( ( ( in @ X4 @ X0 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) )
| ( ( breln1 @ X0 @ X2 )
!= $true )
| ( $true
= ( subset @ X1 @ X2 ) ) ) )
<=> ( subbreln1 = $true ) ),
inference(flattening,[status(thm)],[f26]) ).
thf(f26,plain,
( ( subbreln1 = $true )
<=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
= ( subset @ X1 @ X2 ) )
| ? [X3: $i] :
( ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
& ( ( in @ X4 @ X0 )
= $true ) )
& ( ( in @ X3 @ X0 )
= $true ) )
| ( ( breln1 @ X0 @ X2 )
!= $true ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f17]) ).
thf(f17,plain,
( ( subbreln1 = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
=> ( ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ! [X4: $i] :
( ( ( in @ X4 @ X0 )
= $true )
=> ( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) ) )
=> ( $true
= ( subset @ X1 @ X2 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f16]) ).
thf(f16,plain,
( subbreln1
= ( ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ( ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
=> ( in @ ( kpair @ X3 @ X4 ) @ X2 ) ) ) )
=> ( subset @ X1 @ X2 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
( subbreln1
= ( ! [X0: $i,X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ( ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ! [X5: $i] :
( ( in @ X5 @ X0 )
=> ( ( in @ ( kpair @ X4 @ X5 ) @ X2 )
=> ( in @ ( kpair @ X4 @ X5 ) @ X3 ) ) ) )
=> ( subset @ X2 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',subbreln1) ).
thf(f346,plain,
( spl35_44
| ~ spl35_1 ),
inference(avatar_split_clause,[status(thm)],[f103,f139,f344]) ).
thf(f139,definition,
( spl35_1
<=> ( breln1unionIL = $true ) ),
introduced(definition,[new_symbols(naming,[spl35_1])],[avatar_definition]) ).
thf(f103,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true )
| ( breln1unionIL != $true )
| ( ( in @ X3 @ X0 )
!= $true )
| ( ( breln1 @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
thf(f61,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true ) ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( breln1unionIL != $true ) )
& ( ( breln1unionIL = $true )
| ( ( ( breln1 @ sK12 @ sK14 )
= $true )
& ( $true
= ( in @ sK15 @ sK12 ) )
& ( ( in @ ( kpair @ sK15 @ sK16 ) @ ( binunion @ sK13 @ sK14 ) )
!= $true )
& ( ( in @ ( kpair @ sK15 @ sK16 ) @ sK13 )
= $true )
& ( ( in @ sK16 @ sK12 )
= $true )
& ( ( breln1 @ sK12 @ sK13 )
= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f56,f60,f59,f58,f57]) ).
thf(f57,plain,
( ? [X5: $i,X6: $i] :
( ? [X7: $i] :
( ( ( breln1 @ X5 @ X7 )
= $true )
& ? [X8: $i] :
( ( ( in @ X8 @ X5 )
= $true )
& ? [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X6 @ X7 ) )
!= $true )
& ( ( in @ ( kpair @ X8 @ X9 ) @ X6 )
= $true )
& ( $true
= ( in @ X9 @ X5 ) ) ) ) )
& ( ( breln1 @ X5 @ X6 )
= $true ) )
=> ( ? [X7: $i] :
( ( ( breln1 @ sK12 @ X7 )
= $true )
& ? [X8: $i] :
( ( $true
= ( in @ X8 @ sK12 ) )
& ? [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ sK13 @ X7 ) )
!= $true )
& ( $true
= ( in @ ( kpair @ X8 @ X9 ) @ sK13 ) )
& ( $true
= ( in @ X9 @ sK12 ) ) ) ) )
& ( ( breln1 @ sK12 @ sK13 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f58,plain,
( ? [X7: $i] :
( ( ( breln1 @ sK12 @ X7 )
= $true )
& ? [X8: $i] :
( ( $true
= ( in @ X8 @ sK12 ) )
& ? [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ sK13 @ X7 ) )
!= $true )
& ( $true
= ( in @ ( kpair @ X8 @ X9 ) @ sK13 ) )
& ( $true
= ( in @ X9 @ sK12 ) ) ) ) )
=> ( ( ( breln1 @ sK12 @ sK14 )
= $true )
& ? [X8: $i] :
( ( $true
= ( in @ X8 @ sK12 ) )
& ? [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ sK13 @ sK14 ) )
!= $true )
& ( $true
= ( in @ ( kpair @ X8 @ X9 ) @ sK13 ) )
& ( $true
= ( in @ X9 @ sK12 ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f59,plain,
( ? [X8: $i] :
( ( $true
= ( in @ X8 @ sK12 ) )
& ? [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ sK13 @ sK14 ) )
!= $true )
& ( $true
= ( in @ ( kpair @ X8 @ X9 ) @ sK13 ) )
& ( $true
= ( in @ X9 @ sK12 ) ) ) )
=> ( ( $true
= ( in @ sK15 @ sK12 ) )
& ? [X9: $i] :
( ( ( in @ ( kpair @ sK15 @ X9 ) @ ( binunion @ sK13 @ sK14 ) )
!= $true )
& ( ( in @ ( kpair @ sK15 @ X9 ) @ sK13 )
= $true )
& ( $true
= ( in @ X9 @ sK12 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f60,plain,
( ? [X9: $i] :
( ( ( in @ ( kpair @ sK15 @ X9 ) @ ( binunion @ sK13 @ sK14 ) )
!= $true )
& ( ( in @ ( kpair @ sK15 @ X9 ) @ sK13 )
= $true )
& ( $true
= ( in @ X9 @ sK12 ) ) )
=> ( ( ( in @ ( kpair @ sK15 @ sK16 ) @ ( binunion @ sK13 @ sK14 ) )
!= $true )
& ( ( in @ ( kpair @ sK15 @ sK16 ) @ sK13 )
= $true )
& ( ( in @ sK16 @ sK12 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f56,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true ) ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( breln1unionIL != $true ) )
& ( ( breln1unionIL = $true )
| ? [X5: $i,X6: $i] :
( ? [X7: $i] :
( ( ( breln1 @ X5 @ X7 )
= $true )
& ? [X8: $i] :
( ( ( in @ X8 @ X5 )
= $true )
& ? [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X6 @ X7 ) )
!= $true )
& ( ( in @ ( kpair @ X8 @ X9 ) @ X6 )
= $true )
& ( $true
= ( in @ X9 @ X5 ) ) ) ) )
& ( ( breln1 @ X5 @ X6 )
= $true ) ) ) ),
inference(rectify,[status(thm)],[f55]) ).
thf(f55,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true ) ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( breln1unionIL != $true ) )
& ( ( breln1unionIL = $true )
| ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
!= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
& ( ( in @ X4 @ X0 )
= $true ) ) ) )
& ( ( breln1 @ X0 @ X1 )
= $true ) ) ) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
thf(f36,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true ) ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
<=> ( breln1unionIL = $true ) ),
inference(flattening,[status(thm)],[f35]) ).
thf(f35,plain,
( ( breln1unionIL = $true )
<=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true ) )
| ( ( in @ X3 @ X0 )
!= $true ) )
| ( ( breln1 @ X0 @ X2 )
!= $true ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f15]) ).
thf(f15,plain,
( ( breln1unionIL = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ! [X4: $i] :
( ( ( in @ X4 @ X0 )
= $true )
=> ( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f14]) ).
thf(f14,plain,
( breln1unionIL
= ( ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
=> ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
( breln1unionIL
= ( ! [X0: $i,X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ! [X5: $i] :
( ( in @ X5 @ X0 )
=> ( ( in @ ( kpair @ X4 @ X5 ) @ X2 )
=> ( in @ ( kpair @ X4 @ X5 ) @ ( binunion @ X2 @ X3 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionIL) ).
thf(f312,plain,
spl35_14,
inference(avatar_split_clause,[status(thm)],[f110,f197]) ).
thf(f110,plain,
subbreln1 = $true,
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f311,plain,
spl35_1,
inference(avatar_split_clause,[status(thm)],[f112,f139]) ).
thf(f112,plain,
breln1unionIL = $true,
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f300,plain,
( ~ spl35_17
| spl35_35 ),
inference(avatar_split_clause,[status(thm)],[f117,f298,f211]) ).
thf(f211,definition,
( spl35_17
<=> ( breln1unionIR = $true ) ),
introduced(definition,[new_symbols(naming,[spl35_17])],[avatar_definition]) ).
thf(f117,plain,
! [X8: $i,X6: $i,X9: $i,X7: $i,X5: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
!= $true )
| ( ( in @ X9 @ X6 )
!= $true )
| ( $true
!= ( in @ X8 @ X6 ) )
| ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
= $true )
| ( ( breln1 @ X6 @ X5 )
!= $true )
| ( breln1unionIR != $true )
| ( $true
!= ( breln1 @ X6 @ X7 ) ) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
thf(f76,plain,
( ( ( breln1unionIR = $true )
| ( ( ( breln1 @ sK24 @ sK23 )
= $true )
& ( $true
= ( breln1 @ sK24 @ sK25 ) )
& ( $true
= ( in @ sK26 @ sK24 ) )
& ( ( in @ ( kpair @ sK26 @ sK27 ) @ ( binunion @ sK23 @ sK25 ) )
!= $true )
& ( ( in @ sK27 @ sK24 )
= $true )
& ( ( in @ ( kpair @ sK26 @ sK27 ) @ sK25 )
= $true ) ) )
& ( ! [X5: $i,X6: $i] :
( ( ( breln1 @ X6 @ X5 )
!= $true )
| ! [X7: $i] :
( ( $true
!= ( breln1 @ X6 @ X7 ) )
| ! [X8: $i] :
( ( $true
!= ( in @ X8 @ X6 ) )
| ! [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
= $true )
| ( ( in @ X9 @ X6 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
!= $true ) ) ) ) )
| ( breln1unionIR != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27])],[f71,f75,f74,f73,f72]) ).
thf(f72,plain,
( ? [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X0 )
= $true )
& ? [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
& ? [X3: $i] :
( ( $true
= ( in @ X3 @ X1 ) )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X0 @ X2 ) )
!= $true )
& ( ( in @ X4 @ X1 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) ) ) )
=> ( ( ( breln1 @ sK24 @ sK23 )
= $true )
& ? [X2: $i] :
( ( $true
= ( breln1 @ sK24 @ X2 ) )
& ? [X3: $i] :
( ( $true
= ( in @ X3 @ sK24 ) )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ sK23 @ X2 ) )
!= $true )
& ( $true
= ( in @ X4 @ sK24 ) )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f73,plain,
( ? [X2: $i] :
( ( $true
= ( breln1 @ sK24 @ X2 ) )
& ? [X3: $i] :
( ( $true
= ( in @ X3 @ sK24 ) )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ sK23 @ X2 ) )
!= $true )
& ( $true
= ( in @ X4 @ sK24 ) )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) ) )
=> ( ( $true
= ( breln1 @ sK24 @ sK25 ) )
& ? [X3: $i] :
( ( $true
= ( in @ X3 @ sK24 ) )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ sK23 @ sK25 ) )
!= $true )
& ( $true
= ( in @ X4 @ sK24 ) )
& ( ( in @ ( kpair @ X3 @ X4 ) @ sK25 )
= $true ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f74,plain,
( ? [X3: $i] :
( ( $true
= ( in @ X3 @ sK24 ) )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ sK23 @ sK25 ) )
!= $true )
& ( $true
= ( in @ X4 @ sK24 ) )
& ( ( in @ ( kpair @ X3 @ X4 ) @ sK25 )
= $true ) ) )
=> ( ( $true
= ( in @ sK26 @ sK24 ) )
& ? [X4: $i] :
( ( ( in @ ( kpair @ sK26 @ X4 ) @ ( binunion @ sK23 @ sK25 ) )
!= $true )
& ( $true
= ( in @ X4 @ sK24 ) )
& ( ( in @ ( kpair @ sK26 @ X4 ) @ sK25 )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f75,plain,
( ? [X4: $i] :
( ( ( in @ ( kpair @ sK26 @ X4 ) @ ( binunion @ sK23 @ sK25 ) )
!= $true )
& ( $true
= ( in @ X4 @ sK24 ) )
& ( ( in @ ( kpair @ sK26 @ X4 ) @ sK25 )
= $true ) )
=> ( ( ( in @ ( kpair @ sK26 @ sK27 ) @ ( binunion @ sK23 @ sK25 ) )
!= $true )
& ( ( in @ sK27 @ sK24 )
= $true )
& ( ( in @ ( kpair @ sK26 @ sK27 ) @ sK25 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f71,plain,
( ( ( breln1unionIR = $true )
| ? [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ X0 )
= $true )
& ? [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
& ? [X3: $i] :
( ( $true
= ( in @ X3 @ X1 ) )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X0 @ X2 ) )
!= $true )
& ( ( in @ X4 @ X1 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) ) ) ) )
& ( ! [X5: $i,X6: $i] :
( ( ( breln1 @ X6 @ X5 )
!= $true )
| ! [X7: $i] :
( ( $true
!= ( breln1 @ X6 @ X7 ) )
| ! [X8: $i] :
( ( $true
!= ( in @ X8 @ X6 ) )
| ! [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
= $true )
| ( ( in @ X9 @ X6 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
!= $true ) ) ) ) )
| ( breln1unionIR != $true ) ) ),
inference(rectify,[status(thm)],[f70]) ).
thf(f70,plain,
( ( ( breln1unionIR = $true )
| ? [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
& ? [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
!= $true )
& ( ( in @ X4 @ X0 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) ) ) ) )
& ( ! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
!= $true )
| ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ X4 @ X0 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) ) ) )
| ( breln1unionIR != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
thf(f33,plain,
( ( breln1unionIR = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
!= $true )
| ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ X4 @ X0 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) ) ) ) ),
inference(flattening,[status(thm)],[f32]) ).
thf(f32,plain,
( ( breln1unionIR = $true )
<=> ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true ) )
| ( ( in @ X3 @ X0 )
!= $true ) )
| ( ( breln1 @ X0 @ X2 )
!= $true ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f13]) ).
thf(f13,plain,
( ( breln1unionIR = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ! [X4: $i] :
( ( ( in @ X4 @ X0 )
= $true )
=> ( ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
=> ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) ) ) ) ) ) )
= breln1unionIR ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
! [X0: $i,X2: $i] :
( ( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ! [X5: $i] :
( ( in @ X5 @ X0 )
=> ( ( in @ ( kpair @ X4 @ X5 ) @ X3 )
=> ( in @ ( kpair @ X4 @ X5 ) @ ( binunion @ X2 @ X3 ) ) ) ) ) ) )
= breln1unionIR ),
file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionIR) ).
thf(f281,plain,
spl35_17,
inference(avatar_split_clause,[status(thm)],[f111,f211]) ).
thf(f111,plain,
breln1unionIR = $true,
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f280,plain,
( ~ spl35_14
| spl35_31 ),
inference(avatar_split_clause,[status(thm)],[f83,f278,f197]) ).
thf(f83,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( subbreln1 != $true )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true )
| ( ( in @ ( sK1 @ X2 @ X1 @ X0 ) @ X1 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
thf(f276,plain,
spl35_3,
inference(avatar_split_clause,[status(thm)],[f133,f148]) ).
thf(f133,plain,
sF34 = $true,
inference(definition_folding,[status(thm)],[f113,f132,f124]) ).
thf(f132,definition,
( sF34
= ( sF28 @ sK22 ) ),
introduced(definition,[],[function_definition]) ).
thf(f113,plain,
( ( breln1 @ sK21 @ sK22 )
= $true ),
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f270,plain,
spl35_11,
inference(avatar_split_clause,[status(thm)],[f108,f184]) ).
thf(f184,definition,
( spl35_11
<=> ( setextsub = $true ) ),
introduced(definition,[new_symbols(naming,[spl35_11])],[avatar_definition]) ).
thf(f108,plain,
setextsub = $true,
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f264,plain,
spl35_26,
inference(avatar_split_clause,[status(thm)],[f109,f251]) ).
thf(f109,plain,
breln1unionprop = $true,
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f259,plain,
spl35_16,
inference(avatar_split_clause,[status(thm)],[f116,f206]) ).
thf(f206,definition,
( spl35_16
<=> ( breln1unionE = $true ) ),
introduced(definition,[new_symbols(naming,[spl35_16])],[avatar_definition]) ).
thf(f116,plain,
breln1unionE = $true,
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f258,plain,
( spl35_27
| ~ spl35_14 ),
inference(avatar_split_clause,[status(thm)],[f84,f197,f256]) ).
thf(f84,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X0 @ X2 )
= $true )
| ( subbreln1 != $true )
| ( ( breln1 @ X1 @ X0 )
!= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( in @ ( sK0 @ X2 @ X1 @ X0 ) @ X1 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
thf(f240,plain,
( spl35_23
| ~ spl35_14 ),
inference(avatar_split_clause,[status(thm)],[f82,f197,f238]) ).
thf(f82,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( subbreln1 != $true )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( breln1 @ X1 @ X2 )
!= $true )
| ( ( breln1 @ X1 @ X0 )
!= $true )
| ( ( in @ ( kpair @ ( sK0 @ X2 @ X1 @ X0 ) @ ( sK1 @ X2 @ X1 @ X0 ) ) @ X0 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
thf(f236,plain,
( spl35_22
| ~ spl35_11 ),
inference(avatar_split_clause,[status(thm)],[f88,f184,f234]) ).
thf(f88,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( setextsub != $true ) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
thf(f47,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( X0 = X1 ) )
| ( setextsub != $true ) )
& ( ( setextsub = $true )
| ( ( ( subset @ sK6 @ sK5 )
= $true )
& ( ( subset @ sK5 @ sK6 )
= $true )
& ( sK6 != sK5 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f45,f46]) ).
thf(f46,plain,
( ? [X2: $i,X3: $i] :
( ( ( subset @ X3 @ X2 )
= $true )
& ( ( subset @ X2 @ X3 )
= $true )
& ( X2 != X3 ) )
=> ( ( ( subset @ sK6 @ sK5 )
= $true )
& ( ( subset @ sK5 @ sK6 )
= $true )
& ( sK6 != sK5 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f45,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( X0 = X1 ) )
| ( setextsub != $true ) )
& ( ( setextsub = $true )
| ? [X2: $i,X3: $i] :
( ( ( subset @ X3 @ X2 )
= $true )
& ( ( subset @ X2 @ X3 )
= $true )
& ( X2 != X3 ) ) ) ),
inference(rectify,[status(thm)],[f44]) ).
thf(f44,plain,
( ( ! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( X0 = X1 ) )
| ( setextsub != $true ) )
& ( ( setextsub = $true )
| ? [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
& ( ( subset @ X1 @ X0 )
= $true )
& ( X0 != X1 ) ) ) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
thf(f29,plain,
( ! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( X0 = X1 ) )
<=> ( setextsub = $true ) ),
inference(flattening,[status(thm)],[f28]) ).
thf(f28,plain,
( ( setextsub = $true )
<=> ! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
( ( setextsub = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( ( subset @ X1 @ X0 )
= $true )
=> ( X0 = X1 ) ) ) ),
inference(fool_elimination,[status(thm)],[f20]) ).
thf(f20,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X0 )
=> ( X0 = X1 ) ) )
= setextsub ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X0 )
=> ( X0 = X1 ) ) )
= setextsub ),
file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',setextsub) ).
thf(f232,plain,
( spl35_21
| ~ spl35_16 ),
inference(avatar_split_clause,[status(thm)],[f89,f206,f230]) ).
thf(f89,plain,
! [X8: $i,X6: $i,X9: $i,X7: $i,X5: $i] :
( ( ( in @ X9 @ X6 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X5 )
= $true )
| ( breln1unionE != $true )
| ( $true
!= ( breln1 @ X6 @ X7 ) )
| ( ( breln1 @ X6 @ X5 )
!= $true )
| ( $true
!= ( in @ X8 @ X6 ) )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
thf(f54,plain,
( ( ( breln1unionE = $true )
| ( ( ( breln1 @ sK8 @ sK9 )
= $true )
& ( ( in @ sK10 @ sK8 )
= $true )
& ( ( in @ ( kpair @ sK10 @ sK11 ) @ sK7 )
!= $true )
& ( ( in @ sK11 @ sK8 )
= $true )
& ( ( in @ ( kpair @ sK10 @ sK11 ) @ ( binunion @ sK7 @ sK9 ) )
= $true )
& ( $true
!= ( in @ ( kpair @ sK10 @ sK11 ) @ sK9 ) )
& ( ( breln1 @ sK8 @ sK7 )
= $true ) ) )
& ( ! [X5: $i,X6: $i] :
( ! [X7: $i] :
( ( $true
!= ( breln1 @ X6 @ X7 ) )
| ! [X8: $i] :
( ( $true
!= ( in @ X8 @ X6 ) )
| ! [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ X5 )
= $true )
| ( ( in @ X9 @ X6 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
= $true ) ) ) )
| ( ( breln1 @ X6 @ X5 )
!= $true ) )
| ( breln1unionE != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11])],[f49,f53,f52,f51,f50]) ).
thf(f50,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
& ? [X3: $i] :
( ( $true
= ( in @ X3 @ X1 ) )
& ? [X4: $i] :
( ( $true
!= ( in @ ( kpair @ X3 @ X4 ) @ X0 ) )
& ( ( in @ X4 @ X1 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X0 @ X2 ) )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) ) )
& ( ( breln1 @ X1 @ X0 )
= $true ) )
=> ( ? [X2: $i] :
( ( ( breln1 @ sK8 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( in @ X3 @ sK8 )
= $true )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ sK7 )
!= $true )
& ( ( in @ X4 @ sK8 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ sK7 @ X2 ) )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) ) )
& ( ( breln1 @ sK8 @ sK7 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f51,plain,
( ? [X2: $i] :
( ( ( breln1 @ sK8 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( in @ X3 @ sK8 )
= $true )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ sK7 )
!= $true )
& ( ( in @ X4 @ sK8 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ sK7 @ X2 ) )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) ) )
=> ( ( ( breln1 @ sK8 @ sK9 )
= $true )
& ? [X3: $i] :
( ( ( in @ X3 @ sK8 )
= $true )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ sK7 )
!= $true )
& ( ( in @ X4 @ sK8 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ sK7 @ sK9 ) )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ sK9 )
!= $true ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f52,plain,
( ? [X3: $i] :
( ( ( in @ X3 @ sK8 )
= $true )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ sK7 )
!= $true )
& ( ( in @ X4 @ sK8 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ sK7 @ sK9 ) )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ sK9 )
!= $true ) ) )
=> ( ( ( in @ sK10 @ sK8 )
= $true )
& ? [X4: $i] :
( ( ( in @ ( kpair @ sK10 @ X4 ) @ sK7 )
!= $true )
& ( ( in @ X4 @ sK8 )
= $true )
& ( ( in @ ( kpair @ sK10 @ X4 ) @ ( binunion @ sK7 @ sK9 ) )
= $true )
& ( ( in @ ( kpair @ sK10 @ X4 ) @ sK9 )
!= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f53,plain,
( ? [X4: $i] :
( ( ( in @ ( kpair @ sK10 @ X4 ) @ sK7 )
!= $true )
& ( ( in @ X4 @ sK8 )
= $true )
& ( ( in @ ( kpair @ sK10 @ X4 ) @ ( binunion @ sK7 @ sK9 ) )
= $true )
& ( ( in @ ( kpair @ sK10 @ X4 ) @ sK9 )
!= $true ) )
=> ( ( ( in @ ( kpair @ sK10 @ sK11 ) @ sK7 )
!= $true )
& ( ( in @ sK11 @ sK8 )
= $true )
& ( ( in @ ( kpair @ sK10 @ sK11 ) @ ( binunion @ sK7 @ sK9 ) )
= $true )
& ( $true
!= ( in @ ( kpair @ sK10 @ sK11 ) @ sK9 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f49,plain,
( ( ( breln1unionE = $true )
| ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X1 @ X2 )
= $true )
& ? [X3: $i] :
( ( $true
= ( in @ X3 @ X1 ) )
& ? [X4: $i] :
( ( $true
!= ( in @ ( kpair @ X3 @ X4 ) @ X0 ) )
& ( ( in @ X4 @ X1 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X0 @ X2 ) )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) ) )
& ( ( breln1 @ X1 @ X0 )
= $true ) ) )
& ( ! [X5: $i,X6: $i] :
( ! [X7: $i] :
( ( $true
!= ( breln1 @ X6 @ X7 ) )
| ! [X8: $i] :
( ( $true
!= ( in @ X8 @ X6 ) )
| ! [X9: $i] :
( ( ( in @ ( kpair @ X8 @ X9 ) @ X5 )
= $true )
| ( ( in @ X9 @ X6 )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ ( binunion @ X5 @ X7 ) )
!= $true )
| ( ( in @ ( kpair @ X8 @ X9 ) @ X7 )
= $true ) ) ) )
| ( ( breln1 @ X6 @ X5 )
!= $true ) )
| ( breln1unionE != $true ) ) ),
inference(rectify,[status(thm)],[f48]) ).
thf(f48,plain,
( ( ( breln1unionE = $true )
| ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
& ? [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
& ( ( in @ X4 @ X0 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true ) ) ) )
& ( ( breln1 @ X0 @ X1 )
= $true ) ) )
& ( ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
| ( ( in @ X4 @ X0 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
| ( breln1unionE != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
thf(f25,plain,
( ( breln1unionE = $true )
<=> ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
| ( ( in @ X4 @ X0 )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
!= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) ) ),
inference(flattening,[status(thm)],[f24]) ).
thf(f24,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ! [X3: $i] :
( ! [X4: $i] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
!= $true )
| ( ( in @ X4 @ X0 )
!= $true ) )
| ( ( in @ X3 @ X0 )
!= $true ) )
| ( ( breln1 @ X0 @ X2 )
!= $true ) )
| ( ( breln1 @ X0 @ X1 )
!= $true ) )
<=> ( breln1unionE = $true ) ),
inference(ennf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( ! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ! [X4: $i] :
( ( ( in @ X4 @ X0 )
= $true )
=> ( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
=> ( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
| ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true ) ) ) ) ) ) )
<=> ( breln1unionE = $true ) ),
inference(fool_elimination,[status(thm)],[f10]) ).
thf(f10,plain,
! [X0: $i,X1: $i] :
( ( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
| ( in @ ( kpair @ X3 @ X4 ) @ X2 ) ) ) ) ) ) )
= breln1unionE ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,axiom,
! [X0: $i,X2: $i] :
( ( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( breln1 @ X0 @ X3 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ! [X5: $i] :
( ( in @ X5 @ X0 )
=> ( ( in @ ( kpair @ X4 @ X5 ) @ ( binunion @ X2 @ X3 ) )
=> ( ( in @ ( kpair @ X4 @ X5 ) @ X2 )
| ( in @ ( kpair @ X4 @ X5 ) @ X3 ) ) ) ) ) ) )
= breln1unionE ),
file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionE) ).
thf(f173,plain,
( spl35_7
| spl35_8 ),
inference(avatar_split_clause,[status(thm)],[f134,f170,f166]) ).
thf(f134,plain,
( ( $false = sF29 )
| ( ( sF28 @ sK20 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f125]) ).
thf(f164,plain,
( spl35_5
| spl35_6 ),
inference(avatar_split_clause,[status(thm)],[f137,f161,f157]) ).
thf(f137,plain,
( ( sF34 = $false )
| ( ( sF28 @ sK22 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU788^2 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.29 % Computer : n001.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Feb 24 12:34:50 EST 2026
% 0.10/0.29 % CPUTime :
% 0.10/0.29 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.38 ---- Original DTF file ---
% 0.16/0.39 thf(spec,logic,$$dhol).
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 % File : SEU788^2 : TPTP v9.2.1. Released v3.7.0.
% 0.16/0.39 % Domain : Set Theory
% 0.16/0.39 % Problem : Binary Relations on a Set
% 0.16/0.39 % Version : Especial > Reduced > Especial.
% 0.16/0.39 % English : (! A:i.! R:i.breln1 A R -> (! S:i.breln1 A S ->
% 0.16/0.39 % binunion R S = binunion S R))
% 0.16/0.39
% 0.16/0.39 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.16/0.39 % Source : [Bro08]
% 0.16/0.39 % Names : ZFC290l [Bro08]
% 0.16/0.39
% 0.16/0.39 % Status : Theorem
% 0.16/0.39 % Rating : 0.44 v9.1.0, 0.38 v9.0.0, 0.40 v8.2.0, 0.46 v8.1.0, 0.36 v7.5.0, 0.43 v7.4.0, 0.44 v7.3.0, 0.56 v7.2.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.43 v6.1.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.60 v5.2.0, 0.80 v4.1.0, 1.00 v3.7.0
% 0.16/0.39 % Syntax : Number of formulae : 18 ( 6 unt; 11 typ; 6 def)
% 0.16/0.39 % Number of atoms : 53 ( 8 equ; 0 cnn)
% 0.16/0.39 % Maximal formula atoms : 9 ( 7 avg)
% 0.16/0.39 % Number of connectives : 130 ( 0 ~; 1 |; 0 &; 96 @)
% 0.16/0.39 % ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% 0.16/0.39 % Maximal formula depth : 14 ( 3 avg)
% 0.16/0.39 % Number of types : 2 ( 0 usr)
% 0.16/0.39 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.16/0.39 % Number of symbols : 12 ( 11 usr; 6 con; 0-2 aty)
% 0.16/0.39 % Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% 0.16/0.39 % SPC : TH0_THM_EQU_NAR
% 0.16/0.39
% 0.16/0.39 % Comments : http://mathgate.info/detsetitem.php?id=353
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 thf(in_type,type,
% 0.16/0.39 in: $i > $i > $o ).
% 0.16/0.39
% 0.16/0.39 thf(subset_type,type,
% 0.16/0.39 subset: $i > $i > $o ).
% 0.16/0.39
% 0.16/0.39 thf(setextsub_type,type,
% 0.16/0.39 setextsub: $o ).
% 0.16/0.39
% 0.16/0.39 thf(setextsub,definition,
% 0.16/0.39 ( setextsub
% 0.16/0.39 = ( ! [A: $i,B: $i] :
% 0.16/0.39 ( ( subset @ A @ B )
% 0.16/0.39 => ( ( subset @ B @ A )
% 0.16/0.39 => ( A = B ) ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 thf(binunion_type,type,
% 0.16/0.39 binunion: $i > $i > $i ).
% 0.16/0.39
% 0.16/0.39 thf(kpair_type,type,
% 0.16/0.39 kpair: $i > $i > $i ).
% 0.16/0.39
% 0.16/0.39 thf(breln1_type,type,
% 0.16/0.39 breln1: $i > $i > $o ).
% 0.16/0.39
% 0.16/0.39 thf(subbreln1_type,type,
% 0.16/0.39 subbreln1: $o ).
% 0.16/0.39
% 0.16/0.39 thf(subbreln1,definition,
% 0.16/0.39 ( subbreln1
% 0.16/0.39 = ( ! [A: $i,R: $i] :
% 0.16/0.39 ( ( breln1 @ A @ R )
% 0.16/0.39 => ! [S: $i] :
% 0.16/0.39 ( ( breln1 @ A @ S )
% 0.16/0.39 => ( ! [Xx: $i] :
% 0.16/0.39 ( ( in @ Xx @ A )
% 0.16/0.39 => ! [Xy: $i] :
% 0.16/0.39 ( ( in @ Xy @ A )
% 0.16/0.39 => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.16/0.39 => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 0.16/0.39 => ( subset @ R @ S ) ) ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 thf(breln1unionprop_type,type,
% 0.16/0.39 breln1unionprop: $o ).
% 0.16/0.39
% 0.16/0.39 thf(breln1unionprop,definition,
% 0.16/0.39 ( breln1unionprop
% 0.16/0.39 = ( ! [A: $i,R: $i] :
% 0.16/0.39 ( ( breln1 @ A @ R )
% 0.16/0.39 => ! [S: $i] :
% 0.16/0.39 ( ( breln1 @ A @ S )
% 0.16/0.39 => ( breln1 @ A @ ( binunion @ R @ S ) ) ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 thf(breln1unionIL_type,type,
% 0.16/0.39 breln1unionIL: $o ).
% 0.16/0.39
% 0.16/0.39 thf(breln1unionIL,definition,
% 0.16/0.39 ( breln1unionIL
% 0.16/0.39 = ( ! [A: $i,R: $i] :
% 0.16/0.39 ( ( breln1 @ A @ R )
% 0.16/0.39 => ! [S: $i] :
% 0.16/0.39 ( ( breln1 @ A @ S )
% 0.16/0.39 => ! [Xx: $i] :
% 0.16/0.39 ( ( in @ Xx @ A )
% 0.16/0.39 => ! [Xy: $i] :
% 0.16/0.39 ( ( in @ Xy @ A )
% 0.16/0.39 => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.16/0.39 => ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 thf(breln1unionIR_type,type,
% 0.16/0.39 breln1unionIR: $o ).
% 0.16/0.39
% 0.16/0.39 thf(breln1unionIR,definition,
% 0.16/0.39 ( breln1unionIR
% 0.16/0.39 = ( ! [A: $i,R: $i] :
% 0.16/0.39 ( ( breln1 @ A @ R )
% 0.16/0.39 => ! [S: $i] :
% 0.16/0.39 ( ( breln1 @ A @ S )
% 0.16/0.39 => ! [Xx: $i] :
% 0.16/0.39 ( ( in @ Xx @ A )
% 0.16/0.39 => ! [Xy: $i] :
% 0.16/0.39 ( ( in @ Xy @ A )
% 0.16/0.39 => ( ( in @ ( kpair @ Xx @ Xy ) @ S )
% 0.16/0.39 => ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 thf(breln1unionE_type,type,
% 0.16/0.39 breln1unionE: $o ).
% 0.16/0.39
% 0.16/0.39 thf(breln1unionE,definition,
% 0.16/0.39 ( breln1unionE
% 0.16/0.39 = ( ! [A: $i,R: $i] :
% 0.16/0.39 ( ( breln1 @ A @ R )
% 0.16/0.39 => ! [S: $i] :
% 0.16/0.39 ( ( breln1 @ A @ S )
% 0.16/0.39 => ! [Xx: $i] :
% 0.16/0.39 ( ( in @ Xx @ A )
% 0.16/0.39 => ! [Xy: $i] :
% 0.16/0.39 ( ( in @ Xy @ A )
% 0.16/0.39 => ( ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) )
% 0.16/0.39 => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 0.16/0.39 | ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) ) ) ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 thf(breln1unionCommutes,conjecture,
% 0.16/0.39 ( setextsub
% 0.16/0.39 => ( subbreln1
% 0.16/0.39 => ( breln1unionprop
% 0.16/0.39 => ( breln1unionIL
% 0.16/0.39 => ( breln1unionIR
% 0.16/0.39 => ( breln1unionE
% 0.16/0.39 => ! [A: $i,R: $i] :
% 0.16/0.39 ( ( breln1 @ A @ R )
% 0.16/0.39 => ! [S: $i] :
% 0.16/0.39 ( ( breln1 @ A @ S )
% 0.16/0.39 => ( ( binunion @ R @ S )
% 0.16/0.39 = ( binunion @ S @ R ) ) ) ) ) ) ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 ------------------------
% 1.66/1.30 ---- Embedded in THF ---
% 1.66/1.30 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.66/1.30 %%% Generated on Tue Feb 24 12:34:51 EST 2026
% 1.66/1.30 %%% using '$$dhol' embedding, version 1.3.0.
% 1.66/1.30 %%% Logic specification used:
% 1.66/1.30 %%% thf(spec, logic, $$dhol).
% 1.66/1.30
% 1.66/1.30 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2DTF15125.p
% See solution above
% 1.66/1.30 ------------------------
% 1.66/1.31 ---- Cleaned THF ---
% 1.66/1.32 thf(in_type,type,
% 1.66/1.32 in: $i > $i > $o ).
% 1.66/1.32
% 1.66/1.32 thf(subset_type,type,
% 1.66/1.32 subset: $i > $i > $o ).
% 1.66/1.32
% 1.66/1.32 thf(setextsub_type,type,
% 1.66/1.32 setextsub: $o ).
% 1.66/1.32
% 1.66/1.32 thf(setextsub,definition,
% 1.66/1.32 ( setextsub
% 1.66/1.32 = ( ! [A: $i,B: $i] :
% 1.66/1.32 ( ( subset @ A @ B )
% 1.66/1.32 => ( ( subset @ B @ A )
% 1.66/1.32 => ( A = B ) ) ) ) ) ).
% 1.66/1.32
% 1.66/1.32 thf(binunion_type,type,
% 1.66/1.32 binunion: $i > $i > $i ).
% 1.66/1.32
% 1.66/1.32 thf(kpair_type,type,
% 1.66/1.32 kpair: $i > $i > $i ).
% 1.66/1.32
% 1.66/1.32 thf(breln1_type,type,
% 1.66/1.32 breln1: $i > $i > $o ).
% 1.66/1.32
% 1.66/1.32 thf(subbreln1_type,type,
% 1.66/1.32 subbreln1: $o ).
% 1.66/1.32
% 1.66/1.32 thf(subbreln1,definition,
% 1.66/1.32 ( subbreln1
% 1.66/1.32 = ( ! [A: $i,R: $i] :
% 1.66/1.32 ( ( breln1 @ A @ R )
% 1.66/1.32 => ! [S: $i] :
% 1.66/1.32 ( ( breln1 @ A @ S )
% 1.66/1.32 => ( ! [Xx: $i] :
% 1.66/1.32 ( ( in @ Xx @ A )
% 1.66/1.32 => ! [Xy: $i] :
% 1.66/1.32 ( ( in @ Xy @ A )
% 1.66/1.32 => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 1.66/1.32 => ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
% 1.66/1.32 => ( subset @ R @ S ) ) ) ) ) ) ).
% 1.66/1.32
% 1.66/1.32 thf(breln1unionprop_type,type,
% 1.66/1.32 breln1unionprop: $o ).
% 1.66/1.32
% 1.66/1.32 thf(breln1unionprop,definition,
% 1.66/1.32 ( breln1unionprop
% 1.66/1.32 = ( ! [A: $i,R: $i] :
% 1.66/1.32 ( ( breln1 @ A @ R )
% 1.66/1.32 => ! [S: $i] :
% 1.66/1.32 ( ( breln1 @ A @ S )
% 1.66/1.32 => ( breln1 @ A @ ( binunion @ R @ S ) ) ) ) ) ) ).
% 1.66/1.32
% 1.66/1.32 thf(breln1unionIL_type,type,
% 1.66/1.32 breln1unionIL: $o ).
% 1.66/1.32
% 1.66/1.32 thf(breln1unionIL,definition,
% 1.66/1.32 ( breln1unionIL
% 1.66/1.32 = ( ! [A: $i,R: $i] :
% 1.66/1.32 ( ( breln1 @ A @ R )
% 1.66/1.32 => ! [S: $i] :
% 1.66/1.32 ( ( breln1 @ A @ S )
% 1.66/1.32 => ! [Xx: $i] :
% 1.66/1.32 ( ( in @ Xx @ A )
% 1.66/1.32 => ! [Xy: $i] :
% 1.66/1.32 ( ( in @ Xy @ A )
% 1.66/1.32 => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 1.66/1.32 => ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ) ).
% 1.66/1.32
% 1.66/1.32 thf(breln1unionIR_type,type,
% 1.66/1.32 breln1unionIR: $o ).
% 1.66/1.32
% 1.66/1.32 thf(breln1unionIR,definition,
% 1.66/1.32 ( breln1unionIR
% 1.66/1.32 = ( ! [A: $i,R: $i] :
% 1.66/1.32 ( ( breln1 @ A @ R )
% 1.66/1.32 => ! [S: $i] :
% 1.66/1.32 ( ( breln1 @ A @ S )
% 1.66/1.32 => ! [Xx: $i] :
% 1.66/1.32 ( ( in @ Xx @ A )
% 1.66/1.32 => ! [Xy: $i] :
% 1.66/1.32 ( ( in @ Xy @ A )
% 1.66/1.32 => ( ( in @ ( kpair @ Xx @ Xy ) @ S )
% 1.66/1.32 => ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) ) ) ) ) ) ) ) ) ).
% 1.66/1.32
% 1.66/1.32 thf(breln1unionE_type,type,
% 1.66/1.32 breln1unionE: $o ).
% 1.66/1.32
% 1.66/1.32 thf(breln1unionE,definition,
% 1.66/1.32 ( breln1unionE
% 1.66/1.32 = ( ! [A: $i,R: $i] :
% 1.66/1.32 ( ( breln1 @ A @ R )
% 1.66/1.32 => ! [S: $i] :
% 1.66/1.32 ( ( breln1 @ A @ S )
% 1.66/1.32 => ! [Xx: $i] :
% 1.66/1.32 ( ( in @ Xx @ A )
% 1.66/1.32 => ! [Xy: $i] :
% 1.66/1.32 ( ( in @ Xy @ A )
% 1.66/1.32 => ( ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) )
% 1.66/1.32 => ( ( in @ ( kpair @ Xx @ Xy ) @ R )
% 1.66/1.32 | ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) ) ) ) ) ) ) ).
% 1.66/1.32
% 1.66/1.32 thf(breln1unionCommutes,conjecture,
% 1.66/1.32 ( setextsub
% 1.66/1.32 => ( subbreln1
% 1.66/1.32 => ( breln1unionprop
% 1.66/1.32 => ( breln1unionIL
% 1.66/1.32 => ( breln1unionIR
% 1.66/1.32 => ( breln1unionE
% 1.66/1.32 => ! [A: $i,R: $i] :
% 1.66/1.32 ( ( breln1 @ A @ R )
% 1.66/1.32 => ! [S: $i] :
% 1.66/1.32 ( ( breln1 @ A @ S )
% 1.66/1.32 => ( ( binunion @ R @ S )
% 1.66/1.32 = ( binunion @ S @ R ) ) ) ) ) ) ) ) ) ) ).
% 1.66/1.32 ------------------------
% 1.66/1.34 % (15230)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/18Mi)
% 1.66/1.34 % (15228)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_15125 for (2999ds/2Mi)
% 1.66/1.34 % (15225)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_15125 for (2999ds/4Mi)
% 1.66/1.34 % (15226)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_15125 for (2999ds/27Mi)
% 1.66/1.34 % (15227)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/2Mi)
% 1.66/1.34 % (15229)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_15125 for (2999ds/275Mi)
% 1.66/1.34 % (15224)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/183Mi)
% 1.66/1.34 % (15227)Instruction limit reached!
% 1.66/1.34 % (15227)------------------------------
% 1.66/1.34 % (15227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.34 % (15227)Termination reason: Unknown
% 1.66/1.34 % (15227)Termination phase: shuffling
% 1.66/1.34
% 1.66/1.34 % (15227)Memory used [KB]: 1023
% 1.66/1.34 % (15227)Time elapsed: 0.003 s
% 1.66/1.34 % (15227)Instructions burned: 2 (million)
% 1.66/1.34 % (15227)------------------------------
% 1.66/1.34 % (15227)------------------------------
% 1.66/1.34 % (15228)Instruction limit reached!
% 1.66/1.34 % (15228)------------------------------
% 1.66/1.34 % (15228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.34 % (15228)Termination reason: Unknown
% 1.66/1.34 % (15228)Termination phase: shuffling
% 1.66/1.34
% 1.66/1.34 % (15228)Memory used [KB]: 1023
% 1.66/1.34 % (15228)Time elapsed: 0.003 s
% 1.66/1.34 % (15228)Instructions burned: 3 (million)
% 1.66/1.34 % (15228)------------------------------
% 1.66/1.34 % (15228)------------------------------
% 1.66/1.34 % (15225)Instruction limit reached!
% 1.66/1.34 % (15225)------------------------------
% 1.66/1.34 % (15225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.34 % (15225)Termination reason: Unknown
% 1.66/1.34 % (15225)Termination phase: Property scanning
% 1.66/1.34
% 1.66/1.34 % (15225)Memory used [KB]: 1023
% 1.66/1.34 % (15225)Time elapsed: 0.004 s
% 1.66/1.34 % (15225)Instructions burned: 4 (million)
% 1.66/1.34 % (15225)------------------------------
% 1.66/1.34 % (15225)------------------------------
% 1.66/1.35 % (15230)Instruction limit reached!
% 1.66/1.35 % (15230)------------------------------
% 1.66/1.35 % (15230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.35 % (15230)Termination reason: Unknown
% 1.66/1.35 % (15230)Termination phase: Saturation
% 1.66/1.35
% 1.66/1.35 % (15230)Memory used [KB]: 5628
% 1.66/1.35 % (15230)Time elapsed: 0.012 s
% 1.66/1.35 % (15230)Instructions burned: 18 (million)
% 1.66/1.35 % (15230)------------------------------
% 1.66/1.35 % (15230)------------------------------
% 1.66/1.35 % (15226)Instruction limit reached!
% 1.66/1.35 % (15226)------------------------------
% 1.66/1.35 % (15226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.35 % (15226)Termination reason: Unknown
% 1.66/1.35 % (15226)Termination phase: Saturation
% 1.66/1.35
% 1.66/1.35 % (15226)Memory used [KB]: 5628
% 1.66/1.35 % (15226)Time elapsed: 0.015 s
% 1.66/1.35 % (15226)Instructions burned: 27 (million)
% 1.66/1.35 % (15226)------------------------------
% 1.66/1.35 % (15226)------------------------------
% 1.66/1.35 % (15231)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/3Mi)
% 1.66/1.35 % (15232)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_15125 for (2999ds/37Mi)
% 1.66/1.35 % (15233)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_15125 for (2999ds/15Mi)
% 1.66/1.36 % (15231)Instruction limit reached!
% 1.66/1.36 % (15231)------------------------------
% 1.66/1.36 % (15231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.36 % (15231)Termination reason: Unknown
% 1.66/1.36 % (15231)Termination phase: Unused predicate definition removal
% 1.66/1.36
% 1.66/1.36 % (15231)Memory used [KB]: 1023
% 1.66/1.36 % (15231)Time elapsed: 0.003 s
% 1.66/1.36 % (15231)Instructions burned: 4 (million)
% 1.66/1.36 % (15231)------------------------------
% 1.66/1.36 % (15231)------------------------------
% 1.66/1.36 % (15233)Instruction limit reached!
% 1.66/1.36 % (15233)------------------------------
% 1.66/1.36 % (15233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.36 % (15233)Termination reason: Unknown
% 1.66/1.36 % (15233)Termination phase: Saturation
% 1.66/1.36
% 1.66/1.36 % (15233)Memory used [KB]: 5756
% 1.66/1.36 % (15233)Time elapsed: 0.009 s
% 1.66/1.36 % (15233)Instructions burned: 15 (million)
% 1.66/1.36 % (15233)------------------------------
% 1.66/1.36 % (15233)------------------------------
% 1.66/1.36 % (15234)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_15125 for (2999ds/3Mi)
% 1.66/1.36 % (15234)Instruction limit reached!
% 1.66/1.36 % (15234)------------------------------
% 1.66/1.36 % (15234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.36 % (15234)Termination reason: Unknown
% 1.66/1.36 % (15234)Termination phase: Preprocessing 3
% 1.66/1.36
% 1.66/1.36 % (15234)Memory used [KB]: 1023
% 1.66/1.36 % (15234)Time elapsed: 0.003 s
% 1.66/1.36 % (15234)Instructions burned: 4 (million)
% 1.66/1.36 % (15234)------------------------------
% 1.66/1.36 % (15234)------------------------------
% 1.66/1.37 % (15235)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_15125 for (2999ds/1041Mi)
% 1.66/1.37 % (15236)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/7Mi)
% 1.66/1.37 % (15232)Instruction limit reached!
% 1.66/1.37 % (15232)------------------------------
% 1.66/1.37 % (15232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.37 % (15232)Termination reason: Unknown
% 1.66/1.37 % (15232)Termination phase: Saturation
% 1.66/1.37
% 1.66/1.37 % (15232)Memory used [KB]: 5628
% 1.66/1.37 % (15232)Time elapsed: 0.019 s
% 1.66/1.37 % (15232)Instructions burned: 38 (million)
% 1.66/1.37 % (15232)------------------------------
% 1.66/1.37 % (15232)------------------------------
% 1.66/1.37 % (15236)Instruction limit reached!
% 1.66/1.37 % (15236)------------------------------
% 1.66/1.37 % (15236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.37 % (15236)Termination reason: Unknown
% 1.66/1.37 % (15236)Termination phase: Saturation
% 1.66/1.37
% 1.66/1.37 % (15236)Memory used [KB]: 1023
% 1.66/1.37 % (15236)Time elapsed: 0.005 s
% 1.66/1.37 % (15236)Instructions burned: 8 (million)
% 1.66/1.37 % (15236)------------------------------
% 1.66/1.37 % (15236)------------------------------
% 1.66/1.38 % (15237)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/16Mi)
% 1.66/1.38 % (15238)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_15125 for (2999ds/3Mi)
% 1.66/1.38 % (15238)Instruction limit reached!
% 1.66/1.38 % (15238)------------------------------
% 1.66/1.38 % (15238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.38 % (15238)Termination reason: Unknown
% 1.66/1.38 % (15238)Termination phase: SInE selection
% 1.66/1.38
% 1.66/1.38 % (15238)Memory used [KB]: 1023
% 1.66/1.38 % (15238)Time elapsed: 0.003 s
% 1.66/1.38 % (15238)Instructions burned: 4 (million)
% 1.66/1.38 % (15238)------------------------------
% 1.66/1.38 % (15238)------------------------------
% 1.66/1.39 % (15237)Instruction limit reached!
% 1.66/1.39 % (15237)------------------------------
% 1.66/1.39 % (15237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.39 % (15237)Termination reason: Unknown
% 1.66/1.39 % (15237)Termination phase: Saturation
% 1.66/1.39
% 1.66/1.39 % (15237)Memory used [KB]: 5884
% 1.66/1.39 % (15237)Time elapsed: 0.010 s
% 1.66/1.39 % (15237)Instructions burned: 17 (million)
% 1.66/1.39 % (15237)------------------------------
% 1.66/1.39 % (15237)------------------------------
% 1.66/1.39 % (15239)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_15125 for (2999ds/3Mi)
% 1.66/1.39 % (15239)Instruction limit reached!
% 1.66/1.39 % (15239)------------------------------
% 1.66/1.39 % (15239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.39 % (15239)Termination reason: Unknown
% 1.66/1.39 % (15239)Termination phase: shuffling
% 1.66/1.39
% 1.66/1.39 % (15239)Memory used [KB]: 1023
% 1.66/1.39 % (15239)Time elapsed: 0.003 s
% 1.66/1.39 % (15239)Instructions burned: 4 (million)
% 1.66/1.39 % (15239)------------------------------
% 1.66/1.39 % (15239)------------------------------
% 1.66/1.39 % (15240)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/7Mi)
% 1.66/1.39 % (15240)Instruction limit reached!
% 1.66/1.39 % (15240)------------------------------
% 1.66/1.39 % (15240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.39 % (15240)Termination reason: Unknown
% 1.66/1.39 % (15240)Termination phase: Saturation
% 1.66/1.39
% 1.66/1.39 % (15240)Memory used [KB]: 5500
% 1.66/1.39 % (15240)Time elapsed: 0.005 s
% 1.66/1.39 % (15240)Instructions burned: 8 (million)
% 1.66/1.39 % (15240)------------------------------
% 1.66/1.39 % (15240)------------------------------
% 1.69/1.40 % (15241)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/3Mi)
% 1.69/1.40 % (15241)Instruction limit reached!
% 1.69/1.40 % (15241)------------------------------
% 1.69/1.40 % (15241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.40 % (15241)Termination reason: Unknown
% 1.69/1.40 % (15241)Termination phase: Property scanning
% 1.69/1.40
% 1.69/1.40 % (15241)Memory used [KB]: 1023
% 1.69/1.40 % (15241)Time elapsed: 0.003 s
% 1.69/1.40 % (15241)Instructions burned: 4 (million)
% 1.69/1.40 % (15241)------------------------------
% 1.69/1.40 % (15241)------------------------------
% 1.69/1.40 % (15242)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/4Mi)
% 1.69/1.40 % (15242)Instruction limit reached!
% 1.69/1.40 % (15242)------------------------------
% 1.69/1.40 % (15242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.40 % (15242)Termination reason: Unknown
% 1.69/1.40 % (15242)Termination phase: Preprocessing 3
% 1.69/1.40
% 1.69/1.40 % (15242)Memory used [KB]: 1023
% 1.69/1.40 % (15242)Time elapsed: 0.003 s
% 1.69/1.40 % (15242)Instructions burned: 4 (million)
% 1.69/1.40 % (15242)------------------------------
% 1.69/1.40 % (15242)------------------------------
% 1.69/1.40 % (15243)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/18Mi)
% 1.69/1.41 % (15244)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/710Mi)
% 1.69/1.41 % (15243)Instruction limit reached!
% 1.69/1.41 % (15243)------------------------------
% 1.69/1.41 % (15243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.41 % (15243)Termination reason: Unknown
% 1.69/1.41 % (15243)Termination phase: Saturation
% 1.69/1.41
% 1.69/1.41 % (15243)Memory used [KB]: 5628
% 1.69/1.41 % (15243)Time elapsed: 0.010 s
% 1.69/1.41 % (15243)Instructions burned: 19 (million)
% 1.69/1.41 % (15243)------------------------------
% 1.69/1.41 % (15243)------------------------------
% 1.69/1.42 % (15245)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/6Mi)
% 1.69/1.42 % (15245)Instruction limit reached!
% 1.69/1.42 % (15245)------------------------------
% 1.69/1.42 % (15245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.42 % (15245)Termination reason: Unknown
% 1.69/1.42 % (15245)Termination phase: Property scanning
% 1.69/1.42
% 1.69/1.42 % (15245)Memory used [KB]: 1023
% 1.69/1.42 % (15245)Time elapsed: 0.004 s
% 1.69/1.42 % (15245)Instructions burned: 6 (million)
% 1.69/1.42 % (15245)------------------------------
% 1.69/1.42 % (15245)------------------------------
% 1.69/1.42 % (15246)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_15125 for (2999ds/902Mi)
% 1.69/1.42 % (15224)Instruction limit reached!
% 1.69/1.42 % (15224)------------------------------
% 1.69/1.42 % (15224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.42 % (15224)Termination reason: Unknown
% 1.69/1.42 % (15224)Termination phase: Saturation
% 1.69/1.42
% 1.69/1.42 % (15224)Memory used [KB]: 6396
% 1.69/1.42 % (15224)Time elapsed: 0.088 s
% 1.69/1.42 % (15224)Instructions burned: 183 (million)
% 1.69/1.42 % (15224)------------------------------
% 1.69/1.42 % (15224)------------------------------
% 1.69/1.42 % (15246)Refutation not found, incomplete strategy
% 1.69/1.42 % (15246)------------------------------
% 1.69/1.42 % (15246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.42 % (15246)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.42
% 1.69/1.42
% 1.69/1.42 % (15246)Memory used [KB]: 5628
% 1.69/1.42 % (15246)Time elapsed: 0.006 s
% 1.69/1.42 % (15246)Instructions burned: 9 (million)
% 1.69/1.42 % (15246)------------------------------
% 1.69/1.42 % (15246)------------------------------
% 1.69/1.43 % (15247)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_15125 for (2999ds/21Mi)
% 1.69/1.43 % (15248)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/5Mi)
% 1.69/1.44 % (15248)Instruction limit reached!
% 1.69/1.44 % (15248)------------------------------
% 1.69/1.44 % (15248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.44 % (15248)Termination reason: Unknown
% 1.69/1.44 % (15248)Termination phase: Property scanning
% 1.69/1.44
% 1.69/1.44 % (15248)Memory used [KB]: 1023
% 1.69/1.44 % (15248)Time elapsed: 0.004 s
% 1.69/1.44 % (15248)Instructions burned: 6 (million)
% 1.69/1.44 % (15248)------------------------------
% 1.69/1.44 % (15248)------------------------------
% 1.69/1.44 % (15249)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_15125 for (2999ds/6Mi)
% 1.69/1.44 % (15247)Instruction limit reached!
% 1.69/1.44 % (15247)------------------------------
% 1.69/1.44 % (15247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.44 % (15247)Termination reason: Unknown
% 1.69/1.44 % (15247)Termination phase: Saturation
% 1.69/1.44
% 1.69/1.44 % (15247)Memory used [KB]: 5628
% 1.69/1.44 % (15247)Time elapsed: 0.013 s
% 1.69/1.44 % (15247)Instructions burned: 22 (million)
% 1.69/1.44 % (15247)------------------------------
% 1.69/1.44 % (15247)------------------------------
% 1.69/1.44 % (15250)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_15125 for (2999ds/377Mi)
% 1.69/1.44 % (15249)Instruction limit reached!
% 1.69/1.44 % (15249)------------------------------
% 1.69/1.44 % (15249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.44 % (15249)Termination reason: Unknown
% 1.69/1.44 % (15249)Termination phase: Property scanning
% 1.69/1.44
% 1.69/1.44 % (15249)Memory used [KB]: 1023
% 1.69/1.44 % (15249)Time elapsed: 0.004 s
% 1.69/1.44 % (15249)Instructions burned: 6 (million)
% 1.69/1.44 % (15249)------------------------------
% 1.69/1.44 % (15249)------------------------------
% 1.69/1.45 % (15251)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_15125 for (2998ds/779Mi)
% 1.69/1.46 % (15252)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_15125 for (2998ds/19Mi)
% 1.69/1.46 % (15253)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_15125 for (2998ds/879Mi)
% 1.69/1.47 % (15252)Instruction limit reached!
% 1.69/1.47 % (15252)------------------------------
% 1.69/1.47 % (15252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.47 % (15252)Termination reason: Unknown
% 1.69/1.47 % (15252)Termination phase: Saturation
% 1.69/1.47
% 1.69/1.47 % (15252)Memory used [KB]: 5628
% 1.69/1.47 % (15252)Time elapsed: 0.010 s
% 1.69/1.47 % (15252)Instructions burned: 19 (million)
% 1.69/1.47 % (15252)------------------------------
% 1.69/1.47 % (15252)------------------------------
% 1.69/1.47 % (15229)Instruction limit reached!
% 1.69/1.47 % (15229)------------------------------
% 1.69/1.47 % (15229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.47 % (15229)Termination reason: Unknown
% 1.69/1.47 % (15229)Termination phase: Saturation
% 1.69/1.47
% 1.69/1.47 % (15229)Memory used [KB]: 6140
% 1.69/1.47 % (15229)Time elapsed: 0.132 s
% 1.69/1.47 % (15229)Instructions burned: 275 (million)
% 1.69/1.47 % (15229)------------------------------
% 1.69/1.47 % (15229)------------------------------
% 1.69/1.48 % (15254)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_15125 for (2998ds/17Mi)
% 1.69/1.48 % (15255)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_15125 for (2998ds/3Mi)
% 1.69/1.48 % (15255)Instruction limit reached!
% 1.69/1.48 % (15255)------------------------------
% 1.69/1.48 % (15255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.48 % (15255)Termination reason: Unknown
% 1.69/1.48 % (15255)Termination phase: shuffling
% 1.69/1.48
% 1.69/1.48 % (15255)Memory used [KB]: 1023
% 1.69/1.48 % (15255)Time elapsed: 0.003 s
% 1.69/1.48 % (15255)Instructions burned: 4 (million)
% 1.69/1.48 % (15255)------------------------------
% 1.69/1.48 % (15255)------------------------------
% 1.69/1.49 % (15254)Instruction limit reached!
% 1.69/1.49 % (15254)------------------------------
% 1.69/1.49 % (15254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.49 % (15254)Termination reason: Unknown
% 1.69/1.49 % (15254)Termination phase: Saturation
% 1.69/1.49
% 1.69/1.49 % (15254)Memory used [KB]: 5628
% 1.69/1.49 % (15254)Time elapsed: 0.010 s
% 1.69/1.49 % (15254)Instructions burned: 18 (million)
% 1.69/1.49 % (15254)------------------------------
% 1.69/1.49 % (15254)------------------------------
% 1.69/1.50 % (15256)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_15125 for (2998ds/30Mi)
% 1.69/1.51 % (15257)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_15125 for (2998ds/127Mi)
% 1.69/1.51 % (15256)Refutation not found, incomplete strategy
% 1.69/1.51 % (15256)------------------------------
% 1.69/1.51 % (15256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.51 % (15256)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.51
% 1.69/1.51
% 1.69/1.51 % (15256)Memory used [KB]: 5500
% 1.69/1.51 % (15256)Time elapsed: 0.011 s
% 1.69/1.51 % (15256)Instructions burned: 18 (million)
% 1.69/1.51 % (15256)------------------------------
% 1.69/1.51 % (15256)------------------------------
% 1.69/1.53 % (15258)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_15125 for (2998ds/100Mi)
% 1.69/1.57 % (15257)Instruction limit reached!
% 1.69/1.57 % (15257)------------------------------
% 1.69/1.57 % (15257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.57 % (15257)Termination reason: Unknown
% 1.69/1.57 % (15257)Termination phase: Saturation
% 1.69/1.57
% 1.69/1.57 % (15257)Memory used [KB]: 5756
% 1.69/1.57 % (15257)Time elapsed: 0.061 s
% 1.69/1.57 % (15257)Instructions burned: 127 (million)
% 1.69/1.57 % (15257)------------------------------
% 1.69/1.57 % (15257)------------------------------
% 1.69/1.57 % (15258)Instruction limit reached!
% 1.69/1.57 % (15258)------------------------------
% 1.69/1.57 % (15258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.57 % (15258)Termination reason: Unknown
% 1.69/1.57 % (15258)Termination phase: Saturation
% 1.69/1.57
% 1.69/1.57 % (15258)Memory used [KB]: 5884
% 1.69/1.57 % (15258)Time elapsed: 0.049 s
% 1.69/1.57 % (15258)Instructions burned: 101 (million)
% 1.69/1.57 % (15258)------------------------------
% 1.69/1.57 % (15258)------------------------------
% 1.69/1.58 % (15259)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_15125 for (2997ds/3Mi)
% 1.69/1.58 % (15259)Instruction limit reached!
% 1.69/1.58 % (15259)------------------------------
% 1.69/1.58 % (15259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.58 % (15259)Termination reason: Unknown
% 1.69/1.58 % (15259)Termination phase: Property scanning
% 1.69/1.58
% 1.69/1.58 % (15259)Memory used [KB]: 1023
% 1.69/1.58 % (15259)Time elapsed: 0.003 s
% 1.69/1.58 % (15259)Instructions burned: 4 (million)
% 1.69/1.58 % (15259)------------------------------
% 1.69/1.58 % (15259)------------------------------
% 1.69/1.59 % (15260)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_15125 for (2997ds/20Mi)
% 1.69/1.60 % (15261)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_15125 for (2997ds/86Mi)
% 1.69/1.60 % (15260)Instruction limit reached!
% 1.69/1.60 % (15260)------------------------------
% 1.69/1.60 % (15260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.60 % (15260)Termination reason: Unknown
% 1.69/1.60 % (15260)Termination phase: Saturation
% 1.69/1.60
% 1.69/1.60 % (15260)Memory used [KB]: 5756
% 1.69/1.60 % (15260)Time elapsed: 0.012 s
% 1.69/1.60 % (15260)Instructions burned: 21 (million)
% 1.69/1.60 % (15260)------------------------------
% 1.69/1.60 % (15260)------------------------------
% 1.69/1.62 % (15262)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_15125 for (2997ds/107Mi)
% 1.69/1.62 % (15250)Instruction limit reached!
% 1.69/1.62 % (15250)------------------------------
% 1.69/1.62 % (15250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.62 % (15250)Termination reason: Unknown
% 1.69/1.62 % (15250)Termination phase: Saturation
% 1.69/1.62
% 1.69/1.62 % (15250)Memory used [KB]: 6524
% 1.69/1.62 % (15250)Time elapsed: 0.178 s
% 1.69/1.62 % (15250)Instructions burned: 377 (million)
% 1.69/1.62 % (15250)------------------------------
% 1.69/1.62 % (15250)------------------------------
% 1.69/1.63 % (15263)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_15125 for (2997ds/39Mi)
% 1.69/1.64 % (15261)Instruction limit reached!
% 1.69/1.64 % (15261)------------------------------
% 1.69/1.64 % (15261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.64 % (15261)Termination reason: Unknown
% 1.69/1.64 % (15261)Termination phase: Saturation
% 1.69/1.64
% 1.69/1.64 % (15261)Memory used [KB]: 5884
% 1.69/1.64 % (15261)Time elapsed: 0.042 s
% 1.69/1.64 % (15261)Instructions burned: 86 (million)
% 1.69/1.64 % (15261)------------------------------
% 1.69/1.64 % (15261)------------------------------
% 1.69/1.65 % (15263)Instruction limit reached!
% 1.69/1.65 % (15263)------------------------------
% 1.69/1.65 % (15263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.65 % (15263)Termination reason: Unknown
% 1.69/1.65 % (15263)Termination phase: Saturation
% 1.69/1.65
% 1.69/1.65 % (15263)Memory used [KB]: 5628
% 1.69/1.65 % (15263)Time elapsed: 0.019 s
% 1.69/1.65 % (15263)Instructions burned: 39 (million)
% 1.69/1.65 % (15263)------------------------------
% 1.69/1.65 % (15263)------------------------------
% 1.69/1.66 % (15264)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_15125 for (2996ds/448Mi)
% 1.69/1.67 % (15262)Instruction limit reached!
% 1.69/1.67 % (15262)------------------------------
% 1.69/1.67 % (15262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.67 % (15262)Termination reason: Unknown
% 1.69/1.67 % (15262)Termination phase: Saturation
% 1.69/1.67
% 1.69/1.67 % (15262)Memory used [KB]: 6012
% 1.69/1.67 % (15262)Time elapsed: 0.073 s
% 1.69/1.67 % (15262)Instructions burned: 107 (million)
% 1.69/1.67 % (15262)------------------------------
% 1.69/1.67 % (15262)------------------------------
% 1.69/1.67 % (15265)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_15125 for (2996ds/46Mi)
% 1.69/1.68 % (15266)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_15125 for (2996ds/98Mi)
% 1.69/1.69 % (15265)Instruction limit reached!
% 1.69/1.69 % (15265)------------------------------
% 1.69/1.69 % (15265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.69 % (15265)Termination reason: Unknown
% 1.69/1.69 % (15265)Termination phase: Saturation
% 1.69/1.69
% 1.69/1.69 % (15265)Memory used [KB]: 5884
% 1.69/1.69 % (15265)Time elapsed: 0.047 s
% 1.69/1.69 % (15265)Instructions burned: 47 (million)
% 1.69/1.69 % (15265)------------------------------
% 1.69/1.69 % (15265)------------------------------
% 1.69/1.71 % (15267)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_15125 for (2996ds/507Mi)
% 1.69/1.73 % (15266)Instruction limit reached!
% 1.69/1.73 % (15266)------------------------------
% 1.69/1.73 % (15266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.73 % (15266)Termination reason: Unknown
% 1.69/1.73 % (15266)Termination phase: Saturation
% 1.69/1.73
% 1.69/1.73 % (15266)Memory used [KB]: 1407
% 1.69/1.73 % (15266)Time elapsed: 0.049 s
% 1.69/1.73 % (15266)Instructions burned: 98 (million)
% 1.69/1.73 % (15266)------------------------------
% 1.69/1.73 % (15266)------------------------------
% 1.69/1.75 % (15244)Instruction limit reached!
% 1.69/1.75 % (15244)------------------------------
% 1.69/1.75 % (15244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.75 % (15244)Termination reason: Unknown
% 1.69/1.75 % (15244)Termination phase: Saturation
% 1.69/1.75
% 1.69/1.75 % (15244)Memory used [KB]: 8187
% 1.69/1.75 % (15244)Time elapsed: 0.337 s
% 1.69/1.75 % (15244)Instructions burned: 710 (million)
% 1.69/1.75 % (15244)------------------------------
% 1.69/1.75 % (15244)------------------------------
% 1.69/1.75 % (15268)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_15125 for (2995ds/149Mi)
% 1.69/1.76 % (15269)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_15125 for (2995ds/39Mi)
% 1.69/1.78 % (15269)Instruction limit reached!
% 1.69/1.78 % (15269)------------------------------
% 1.69/1.78 % (15269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.78 % (15269)Termination reason: Unknown
% 1.69/1.78 % (15269)Termination phase: Saturation
% 1.69/1.78
% 1.69/1.78 % (15269)Memory used [KB]: 5628
% 1.69/1.78 % (15269)Time elapsed: 0.020 s
% 1.69/1.78 % (15269)Instructions burned: 39 (million)
% 1.69/1.78 % (15269)------------------------------
% 1.69/1.78 % (15269)------------------------------
% 1.69/1.80 % (15270)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_15125 for (2995ds/6Mi)
% 1.69/1.80 % (15270)Instruction limit reached!
% 1.69/1.80 % (15270)------------------------------
% 1.69/1.80 % (15270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.80 % (15270)Termination reason: Unknown
% 1.69/1.80 % (15270)Termination phase: Saturation
% 1.69/1.80
% 1.69/1.80 % (15270)Memory used [KB]: 9978
% 1.69/1.80 % (15270)Time elapsed: 0.005 s
% 1.69/1.80 % (15270)Instructions burned: 7 (million)
% 1.69/1.80 % (15270)------------------------------
% 1.69/1.80 % (15270)------------------------------
% 1.69/1.82 % (15251)Instruction limit reached!
% 1.69/1.82 % (15251)------------------------------
% 1.69/1.82 % (15251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.82 % (15251)Termination reason: Unknown
% 1.69/1.82 % (15251)Termination phase: Saturation
% 1.69/1.82
% 1.69/1.82 % (15251)Memory used [KB]: 6652
% 1.69/1.82 % (15251)Time elapsed: 0.365 s
% 1.69/1.82 % (15251)Instructions burned: 780 (million)
% 1.69/1.82 % (15251)------------------------------
% 1.69/1.82 % (15251)------------------------------
% 1.69/1.82 % (15271)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_15125 for (2995ds/1087Mi)
% 1.69/1.82 % (15268)Instruction limit reached!
% 1.69/1.82 % (15268)------------------------------
% 1.69/1.82 % (15268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.82 % (15268)Termination reason: Unknown
% 1.69/1.82 % (15268)Termination phase: Saturation
% 1.69/1.82
% 1.69/1.82 % (15268)Memory used [KB]: 5756
% 1.69/1.82 % (15268)Time elapsed: 0.072 s
% 1.69/1.82 % (15268)Instructions burned: 149 (million)
% 1.69/1.82 % (15268)------------------------------
% 1.69/1.82 % (15268)------------------------------
% 1.69/1.83 % (15235)Instruction limit reached!
% 1.69/1.83 % (15235)------------------------------
% 1.69/1.83 % (15235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.83 % (15235)Termination reason: Unknown
% 1.69/1.83 % (15235)Termination phase: Saturation
% 1.69/1.83
% 1.69/1.83 % (15235)Memory used [KB]: 7803
% 1.69/1.83 % (15235)Time elapsed: 0.461 s
% 1.69/1.83 % (15235)Instructions burned: 1043 (million)
% 1.69/1.83 % (15235)------------------------------
% 1.69/1.83 % (15235)------------------------------
% 1.69/1.83 % (15272)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_15125 for (2995ds/47Mi)
% 1.69/1.83 % (15273)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_15125 for (2995ds/44Mi)
% 1.69/1.84 % (15274)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_15125 for (2994ds/432Mi)
% 1.69/1.85 % (15272)Instruction limit reached!
% 1.69/1.85 % (15272)------------------------------
% 1.69/1.85 % (15272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.85 % (15272)Termination reason: Unknown
% 1.69/1.85 % (15272)Termination phase: Saturation
% 1.69/1.85
% 1.69/1.85 % (15272)Memory used [KB]: 5628
% 1.69/1.85 % (15272)Time elapsed: 0.024 s
% 1.69/1.85 % (15273)Instruction limit reached!
% 1.69/1.85 % (15273)------------------------------
% 1.69/1.85 % (15273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.85 % (15272)Instructions burned: 49 (million)
% 1.69/1.85 % (15272)------------------------------
% 1.69/1.85 % (15272)------------------------------
% 1.69/1.85 % (15273)Termination reason: Unknown
% 1.69/1.85 % (15273)Termination phase: Saturation
% 1.69/1.85
% 1.69/1.85 % (15273)Memory used [KB]: 1279
% 1.69/1.85 % (15273)Time elapsed: 0.023 s
% 1.69/1.85 % (15273)Instructions burned: 45 (million)
% 1.69/1.85 % (15273)------------------------------
% 1.69/1.85 % (15273)------------------------------
% 1.69/1.86 % (15253)Instruction limit reached!
% 1.69/1.86 % (15253)------------------------------
% 1.69/1.86 % (15253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.86 % (15253)Termination reason: Unknown
% 1.69/1.86 % (15253)Termination phase: Saturation
% 1.69/1.86
% 1.69/1.86 % (15253)Memory used [KB]: 7547
% 1.69/1.86 % (15253)Time elapsed: 0.401 s
% 1.69/1.86 % (15253)Instructions burned: 880 (million)
% 1.69/1.86 % (15253)------------------------------
% 1.69/1.86 % (15253)------------------------------
% 1.69/1.86 % (15264)Instruction limit reached!
% 1.69/1.86 % (15264)------------------------------
% 1.69/1.86 % (15264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.86 % (15264)Termination reason: Unknown
% 1.69/1.86 % (15264)Termination phase: Saturation
% 1.69/1.86
% 1.69/1.86 % (15264)Memory used [KB]: 6268
% 1.69/1.86 % (15264)Time elapsed: 0.229 s
% 1.69/1.86 % (15264)Instructions burned: 449 (million)
% 1.69/1.86 % (15264)------------------------------
% 1.69/1.86 % (15264)------------------------------
% 1.69/1.87 % (15276)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_15125 for (2994ds/62Mi)
% 1.69/1.87 % (15277)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_15125 for (2994ds/31Mi)
% 1.69/1.87 % (15278)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_15125 for (2994ds/96Mi)
% 1.69/1.88 % (15279)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_15125 for (2994ds/453Mi)
% 1.69/1.89 % (15277)Instruction limit reached!
% 1.69/1.89 % (15277)------------------------------
% 1.69/1.89 % (15277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.89 % (15277)Termination reason: Unknown
% 1.69/1.89 % (15277)Termination phase: Saturation
% 1.69/1.89
% 1.69/1.89 % (15277)Memory used [KB]: 5628
% 1.69/1.89 % (15277)Time elapsed: 0.017 s
% 1.69/1.89 % (15277)Instructions burned: 32 (million)
% 1.69/1.89 % (15277)------------------------------
% 1.69/1.89 % (15277)------------------------------
% 1.69/1.90 % (15276)Instruction limit reached!
% 1.69/1.90 % (15276)------------------------------
% 1.69/1.90 % (15276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.90 % (15276)Termination reason: Unknown
% 1.69/1.90 % (15276)Termination phase: Saturation
% 1.69/1.90
% 1.69/1.90 % (15276)Memory used [KB]: 5756
% 1.69/1.90 % (15276)Time elapsed: 0.031 s
% 1.69/1.90 % (15276)Instructions burned: 63 (million)
% 1.69/1.90 % (15276)------------------------------
% 1.69/1.90 % (15276)------------------------------
% 1.69/1.90 % (15280)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_15125 for (2994ds/71Mi)
% 1.69/1.92 % (15281)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_15125 for (2994ds/83Mi)
% 1.69/1.92 % (15278)Instruction limit reached!
% 1.69/1.92 % (15278)------------------------------
% 1.69/1.92 % (15278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.92 % (15278)Termination reason: Unknown
% 1.69/1.92 % (15278)Termination phase: Saturation
% 1.69/1.92
% 1.69/1.92 % (15278)Memory used [KB]: 5756
% 1.69/1.92 % (15278)Time elapsed: 0.048 s
% 1.69/1.92 % (15278)Instructions burned: 96 (million)
% 1.69/1.92 % (15278)------------------------------
% 1.69/1.92 % (15278)------------------------------
% 1.69/1.94 % (15282)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_15125 for (2994ds/11Mi)
% 1.69/1.94 % (15280)Instruction limit reached!
% 1.69/1.94 % (15280)------------------------------
% 1.69/1.94 % (15280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.94 % (15280)Termination reason: Unknown
% 1.69/1.94 % (15280)Termination phase: Saturation
% 1.69/1.94
% 1.69/1.94 % (15280)Memory used [KB]: 5756
% 1.69/1.94 % (15280)Time elapsed: 0.037 s
% 1.69/1.94 % (15280)Instructions burned: 71 (million)
% 1.69/1.94 % (15280)------------------------------
% 1.69/1.94 % (15280)------------------------------
% 1.69/1.94 % (15282)Instruction limit reached!
% 1.69/1.94 % (15282)------------------------------
% 1.69/1.94 % (15282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.94 % (15282)Termination reason: Unknown
% 1.69/1.94 % (15282)Termination phase: Saturation
% 1.69/1.94
% 1.69/1.94 % (15282)Memory used [KB]: 5500
% 1.69/1.94 % (15282)Time elapsed: 0.007 s
% 1.69/1.94 % (15282)Instructions burned: 13 (million)
% 1.69/1.94 % (15282)------------------------------
% 1.69/1.94 % (15282)------------------------------
% 1.69/1.94 % (15267)Instruction limit reached!
% 1.69/1.94 % (15267)------------------------------
% 1.69/1.94 % (15267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.94 % (15267)Termination reason: Unknown
% 1.69/1.94 % (15267)Termination phase: Saturation
% 1.69/1.94
% 1.69/1.94 % (15267)Memory used [KB]: 6908
% 1.69/1.94 % (15267)Time elapsed: 0.240 s
% 1.69/1.94 % (15267)Instructions burned: 507 (million)
% 1.69/1.94 % (15267)------------------------------
% 1.69/1.94 % (15267)------------------------------
% 1.69/1.95 % (15283)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_15125 for (2993ds/41Mi)
% 1.69/1.95 % (15281)Instruction limit reached!
% 1.69/1.95 % (15281)------------------------------
% 1.69/1.95 % (15281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.95 % (15281)Termination reason: Unknown
% 1.69/1.95 % (15281)Termination phase: Saturation
% 1.69/1.95
% 1.69/1.95 % (15281)Memory used [KB]: 5756
% 1.69/1.95 % (15281)Time elapsed: 0.040 s
% 1.69/1.95 % (15281)Instructions burned: 83 (million)
% 1.69/1.95 % (15281)------------------------------
% 1.69/1.95 % (15281)------------------------------
% 1.69/1.96 % (15284)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_15125 for (2993ds/6Mi)
% 1.69/1.96 % (15284)Instruction limit reached!
% 1.69/1.96 % (15284)------------------------------
% 1.69/1.96 % (15284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.96 % (15284)Termination reason: Unknown
% 1.69/1.96 % (15284)Termination phase: Property scanning
% 1.69/1.96
% 1.69/1.96 % (15284)Memory used [KB]: 1023
% 1.69/1.96 % (15284)Time elapsed: 0.004 s
% 1.69/1.96 % (15284)Instructions burned: 6 (million)
% 1.69/1.96 % (15284)------------------------------
% 1.69/1.96 % (15284)------------------------------
% 1.69/1.96 % (15285)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_15125 for (2993ds/150Mi)
% 1.69/1.97 % (15286)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_15125 for (2993ds/343Mi)
% 1.69/1.97 % (15283)Instruction limit reached!
% 1.69/1.97 % (15283)------------------------------
% 1.69/1.97 % (15283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.97 % (15283)Termination reason: Unknown
% 1.69/1.97 % (15283)Termination phase: Saturation
% 1.69/1.97
% 1.69/1.97 % (15283)Memory used [KB]: 5756
% 1.69/1.97 % (15283)Time elapsed: 0.021 s
% 1.69/1.97 % (15283)Instructions burned: 42 (million)
% 1.69/1.97 % (15283)------------------------------
% 1.69/1.97 % (15283)------------------------------
% 1.69/1.98 % (15287)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_15125 for (2993ds/109Mi)
% 1.69/1.99 % (15288)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_15125 for (2993ds/253Mi)
% 6.54/2.03 % (15287)Instruction limit reached!
% 6.54/2.03 % (15287)------------------------------
% 6.54/2.03 % (15287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.03 % (15287)Termination reason: Unknown
% 6.54/2.03 % (15287)Termination phase: Saturation
% 6.54/2.03
% 6.54/2.03 % (15287)Memory used [KB]: 5884
% 6.54/2.03 % (15287)Time elapsed: 0.054 s
% 6.54/2.03 % (15287)Instructions burned: 110 (million)
% 6.54/2.03 % (15287)------------------------------
% 6.54/2.03 % (15287)------------------------------
% 6.54/2.03 % (15274)Instruction limit reached!
% 6.54/2.03 % (15274)------------------------------
% 6.54/2.03 % (15274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.03 % (15274)Termination reason: Unknown
% 6.54/2.03 % (15274)Termination phase: Saturation
% 6.54/2.03
% 6.54/2.03 % (15274)Memory used [KB]: 2174
% 6.54/2.03 % (15274)Time elapsed: 0.194 s
% 6.54/2.03 % (15274)Instructions burned: 434 (million)
% 6.54/2.03 % (15274)------------------------------
% 6.54/2.03 % (15274)------------------------------
% 6.54/2.04 % (15285)Instruction limit reached!
% 6.54/2.04 % (15285)------------------------------
% 6.54/2.04 % (15285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.04 % (15285)Termination reason: Unknown
% 6.54/2.04 % (15285)Termination phase: Saturation
% 6.54/2.04
% 6.54/2.04 % (15285)Memory used [KB]: 6396
% 6.54/2.04 % (15285)Time elapsed: 0.077 s
% 6.54/2.04 % (15285)Instructions burned: 151 (million)
% 6.54/2.04 % (15285)------------------------------
% 6.54/2.04 % (15285)------------------------------
% 6.54/2.04 % (15289)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_15125 for (2992ds/140Mi)
% 6.54/2.05 % (15289)Refutation not found, incomplete strategy
% 6.54/2.05 % (15289)------------------------------
% 6.54/2.05 % (15289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.05 % (15289)Termination reason: Refutation not found, incomplete strategy
% 6.54/2.05
% 6.54/2.05
% 6.54/2.05 % (15289)Memory used [KB]: 5500
% 6.54/2.05 % (15289)Time elapsed: 0.006 s
% 6.54/2.05 % (15289)Instructions burned: 9 (million)
% 6.54/2.05 % (15289)------------------------------
% 6.54/2.05 % (15289)------------------------------
% 6.54/2.05 % (15290)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_15125 for (2992ds/614Mi)
% 6.54/2.05 % (15291)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_15125 for (2992ds/202Mi)
% 6.54/2.07 % (15292)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_15125 for (2992ds/339Mi)
% 6.54/2.09 % (15279)Instruction limit reached!
% 6.54/2.09 % (15279)------------------------------
% 6.54/2.09 % (15279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.09 % (15279)Termination reason: Unknown
% 6.54/2.09 % (15279)Termination phase: Saturation
% 6.54/2.09
% 6.54/2.09 % (15279)Memory used [KB]: 6652
% 6.54/2.09 % (15279)Time elapsed: 0.210 s
% 6.54/2.09 % (15279)Instructions burned: 454 (million)
% 6.54/2.09 % (15279)------------------------------
% 6.54/2.09 % (15279)------------------------------
% 6.54/2.10 % (15293)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_15125 for (2992ds/283Mi)
% 6.54/2.12 % (15288)Instruction limit reached!
% 6.54/2.12 % (15288)------------------------------
% 6.54/2.12 % (15288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.12 % (15288)Termination reason: Unknown
% 6.54/2.12 % (15288)Termination phase: Saturation
% 6.54/2.12
% 6.54/2.12 % (15288)Memory used [KB]: 6780
% 6.54/2.12 % (15288)Time elapsed: 0.130 s
% 6.54/2.12 % (15288)Instructions burned: 253 (million)
% 6.54/2.12 % (15288)------------------------------
% 6.54/2.12 % (15288)------------------------------
% 6.54/2.13 % (15286)Instruction limit reached!
% 6.54/2.13 % (15286)------------------------------
% 6.54/2.13 % (15286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.13 % (15286)Termination reason: Unknown
% 6.54/2.13 % (15286)Termination phase: Saturation
% 6.54/2.13
% 6.54/2.13 % (15286)Memory used [KB]: 6396
% 6.54/2.13 % (15286)Time elapsed: 0.157 s
% 6.54/2.13 % (15286)Instructions burned: 344 (million)
% 6.54/2.13 % (15286)------------------------------
% 6.54/2.13 % (15286)------------------------------
% 7.01/2.13 % (15294)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_15125 for (2992ds/134Mi)
% 7.01/2.14 % (15295)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_15125 for (2991ds/298Mi)
% 7.01/2.15 % (15291)Instruction limit reached!
% 7.01/2.15 % (15291)------------------------------
% 7.01/2.15 % (15291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.01/2.15 % (15291)Termination reason: Unknown
% 7.01/2.15 % (15291)Termination phase: Saturation
% 7.01/2.15
% 7.01/2.15 % (15291)Memory used [KB]: 6268
% 7.01/2.15 % (15291)Time elapsed: 0.098 s
% 7.01/2.15 % (15291)Instructions burned: 203 (million)
% 7.01/2.15 % (15291)------------------------------
% 7.01/2.15 % (15291)------------------------------
% 7.01/2.16 % (15296)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_15125 for (2991ds/192Mi)
% 7.19/2.20 % (15294)Instruction limit reached!
% 7.19/2.20 % (15294)------------------------------
% 7.19/2.20 % (15294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.19/2.20 % (15294)Termination reason: Unknown
% 7.19/2.20 % (15294)Termination phase: Saturation
% 7.19/2.20
% 7.19/2.20 % (15294)Memory used [KB]: 5884
% 7.19/2.20 % (15294)Time elapsed: 0.066 s
% 7.19/2.20 % (15294)Instructions burned: 135 (million)
% 7.19/2.20 % (15294)------------------------------
% 7.19/2.20 % (15294)------------------------------
% 7.19/2.21 % (15297)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_15125 for (2991ds/258Mi)
% 7.19/2.22 % (15292)Instruction limit reached!
% 7.19/2.22 % (15292)------------------------------
% 7.19/2.22 % (15292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.19/2.22 % (15292)Termination reason: Unknown
% 7.19/2.22 % (15292)Termination phase: Saturation
% 7.19/2.22
% 7.19/2.22 % (15292)Memory used [KB]: 6524
% 7.19/2.22 % (15292)Time elapsed: 0.160 s
% 7.19/2.22 % (15292)Instructions burned: 339 (million)
% 7.19/2.22 % (15292)------------------------------
% 7.19/2.22 % (15292)------------------------------
% 7.19/2.23 % (15293)Instruction limit reached!
% 7.19/2.23 % (15293)------------------------------
% 7.19/2.23 % (15293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.19/2.23 % (15293)Termination reason: Unknown
% 7.19/2.23 % (15293)Termination phase: Saturation
% 7.19/2.23
% 7.19/2.23 % (15293)Memory used [KB]: 6396
% 7.19/2.23 % (15293)Time elapsed: 0.133 s
% 7.19/2.23 % (15293)Instructions burned: 283 (million)
% 7.19/2.23 % (15293)------------------------------
% 7.19/2.23 % (15293)------------------------------
% 7.19/2.24 % (15298)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_15125 for (2990ds/90Mi)
% 7.19/2.25 % (15299)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_15125 for (2990ds/231Mi)
% 7.19/2.26 % (15296)Instruction limit reached!
% 7.19/2.26 % (15296)------------------------------
% 7.19/2.26 % (15296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.19/2.26 % (15296)Termination reason: Unknown
% 7.19/2.26 % (15296)Termination phase: Saturation
% 7.19/2.26
% 7.19/2.26 % (15296)Memory used [KB]: 6012
% 7.19/2.26 % (15296)Time elapsed: 0.096 s
% 7.19/2.26 % (15296)Instructions burned: 193 (million)
% 7.19/2.26 % (15296)------------------------------
% 7.19/2.26 % (15296)------------------------------
% 7.19/2.28 % (15300)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_15125 for (2990ds/458Mi)
% 7.19/2.28 % (15295)Instruction limit reached!
% 7.19/2.28 % (15295)------------------------------
% 7.19/2.28 % (15295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.19/2.28 % (15295)Termination reason: Unknown
% 7.19/2.28 % (15295)Termination phase: Saturation
% 7.19/2.28
% 7.19/2.28 % (15295)Memory used [KB]: 6140
% 7.19/2.28 % (15295)Time elapsed: 0.142 s
% 7.19/2.28 % (15295)Instructions burned: 299 (million)
% 7.19/2.28 % (15295)------------------------------
% 7.19/2.28 % (15295)------------------------------
% 7.19/2.29 % (15298)Instruction limit reached!
% 7.19/2.29 % (15298)------------------------------
% 7.19/2.29 % (15298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.19/2.29 % (15298)Termination reason: Unknown
% 7.19/2.29 % (15298)Termination phase: Saturation
% 7.19/2.29
% 7.19/2.29 % (15298)Memory used [KB]: 5884
% 7.19/2.29 % (15298)Time elapsed: 0.048 s
% 7.19/2.29 % (15298)Instructions burned: 91 (million)
% 7.19/2.29 % (15298)------------------------------
% 7.19/2.29 % (15298)------------------------------
% 8.01/2.30 % (15301)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_15125 for (2990ds/31Mi)
% 8.01/2.30 % (15302)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_15125 for (2990ds/297Mi)
% 8.01/2.31 % (15271)Instruction limit reached!
% 8.01/2.31 % (15271)------------------------------
% 8.01/2.31 % (15271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.01/2.31 % (15271)Termination reason: Unknown
% 8.01/2.31 % (15271)Termination phase: Saturation
% 8.01/2.31
% 8.01/2.31 % (15271)Memory used [KB]: 6908
% 8.01/2.31 % (15271)Time elapsed: 0.498 s
% 8.01/2.31 % (15271)Instructions burned: 1087 (million)
% 8.01/2.31 % (15271)------------------------------
% 8.01/2.31 % (15271)------------------------------
% 8.01/2.31 % (15301)Instruction limit reached!
% 8.01/2.31 % (15301)------------------------------
% 8.01/2.31 % (15301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.01/2.31 % (15301)Termination reason: Unknown
% 8.01/2.31 % (15301)Termination phase: Saturation
% 8.01/2.31
% 8.01/2.31 % (15301)Memory used [KB]: 5628
% 8.01/2.31 % (15301)Time elapsed: 0.017 s
% 8.01/2.31 % (15301)Instructions burned: 32 (million)
% 8.01/2.31 % (15301)------------------------------
% 8.01/2.31 % (15301)------------------------------
% 8.01/2.33 % (15290)Instruction limit reached!
% 8.01/2.33 % (15290)------------------------------
% 8.01/2.33 % (15290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.01/2.33 % (15290)Termination reason: Unknown
% 8.01/2.33 % (15290)Termination phase: Saturation
% 8.01/2.33
% 8.01/2.33 % (15290)Memory used [KB]: 6652
% 8.01/2.33 % (15290)Time elapsed: 0.277 s
% 8.01/2.33 % (15290)Instructions burned: 615 (million)
% 8.01/2.33 % (15290)------------------------------
% 8.01/2.33 % (15290)------------------------------
% 8.01/2.33 % (15303)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_15125 for (2990ds/987Mi)
% 8.01/2.33 % (15304)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_15125 for (2990ds/182Mi)
% 8.01/2.33 % (15297)Instruction limit reached!
% 8.01/2.33 % (15297)------------------------------
% 8.01/2.33 % (15297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.01/2.33 % (15297)Termination reason: Unknown
% 8.01/2.33 % (15297)Termination phase: Saturation
% 8.01/2.33
% 8.01/2.33 % (15297)Memory used [KB]: 5884
% 8.01/2.33 % (15297)Time elapsed: 0.118 s
% 8.01/2.33 % (15297)Instructions burned: 260 (million)
% 8.01/2.33 % (15297)------------------------------
% 8.01/2.33 % (15297)------------------------------
% 8.01/2.34 % (15305)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_15125 for (2990ds/182Mi)
% 8.01/2.35 % (15306)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_15125 for (2989ds/154Mi)
% 8.01/2.37 % (15299)Instruction limit reached!
% 8.01/2.37 % (15299)------------------------------
% 8.01/2.37 % (15299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.01/2.37 % (15299)Termination reason: Unknown
% 8.01/2.37 % (15299)Termination phase: Saturation
% 8.01/2.37
% 8.01/2.37 % (15299)Memory used [KB]: 6652
% 8.01/2.37 % (15299)Time elapsed: 0.126 s
% 8.01/2.37 % (15299)Instructions burned: 231 (million)
% 8.01/2.37 % (15299)------------------------------
% 8.01/2.37 % (15299)------------------------------
% 8.01/2.39 % (15307)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_15125 for (2989ds/79Mi)
% 8.64/2.42 % (15304)Instruction limit reached!
% 8.64/2.42 % (15304)------------------------------
% 8.64/2.42 % (15304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.64/2.42 % (15304)Termination reason: Unknown
% 8.64/2.42 % (15304)Termination phase: Saturation
% 8.64/2.42
% 8.64/2.42 % (15304)Memory used [KB]: 5884
% 8.64/2.42 % (15304)Time elapsed: 0.088 s
% 8.64/2.42 % (15304)Instructions burned: 182 (million)
% 8.64/2.42 % (15304)------------------------------
% 8.64/2.42 % (15304)------------------------------
% 8.64/2.42 % (15306)Instruction limit reached!
% 8.64/2.42 % (15306)------------------------------
% 8.64/2.42 % (15306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.64/2.42 % (15306)Termination reason: Unknown
% 8.64/2.42 % (15306)Termination phase: Saturation
% 8.64/2.42
% 8.64/2.42 % (15306)Memory used [KB]: 5884
% 8.64/2.42 % (15306)Time elapsed: 0.075 s
% 8.64/2.42 % (15306)Instructions burned: 154 (million)
% 8.64/2.42 % (15306)------------------------------
% 8.64/2.42 % (15306)------------------------------
% 8.64/2.43 % (15307)Instruction limit reached!
% 8.64/2.43 % (15307)------------------------------
% 8.64/2.43 % (15307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.64/2.43 % (15307)Termination reason: Unknown
% 8.64/2.43 % (15307)Termination phase: Saturation
% 8.64/2.43
% 8.64/2.43 % (15307)Memory used [KB]: 5756
% 8.64/2.43 % (15307)Time elapsed: 0.040 s
% 8.64/2.43 % (15307)Instructions burned: 79 (million)
% 8.64/2.43 % (15307)------------------------------
% 8.64/2.43 % (15307)------------------------------
% 8.64/2.43 % (15308)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_15125 for (2989ds/216Mi)
% 8.64/2.43 % (15305)Instruction limit reached!
% 8.64/2.43 % (15305)------------------------------
% 8.64/2.43 % (15305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.64/2.43 % (15305)Termination reason: Unknown
% 8.64/2.43 % (15305)Termination phase: Saturation
% 8.64/2.43
% 8.64/2.43 % (15305)Memory used [KB]: 6908
% 8.64/2.43 % (15305)Time elapsed: 0.093 s
% 8.64/2.43 % (15305)Instructions burned: 183 (million)
% 8.64/2.43 % (15305)------------------------------
% 8.64/2.43 % (15305)------------------------------
% 8.64/2.44 % (15309)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_15125 for (2989ds/114Mi)
% 8.64/2.44 % (15302)Instruction limit reached!
% 8.64/2.44 % (15302)------------------------------
% 8.64/2.44 % (15302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.64/2.44 % (15302)Termination reason: Unknown
% 8.64/2.44 % (15302)Termination phase: Saturation
% 8.64/2.44
% 8.64/2.44 % (15302)Memory used [KB]: 6012
% 8.64/2.44 % (15302)Time elapsed: 0.136 s
% 8.64/2.44 % (15302)Instructions burned: 298 (million)
% 8.64/2.44 % (15302)------------------------------
% 8.64/2.44 % (15302)------------------------------
% 8.64/2.45 % (15310)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_15125 for (2989ds/922Mi)
% 8.64/2.45 % (15311)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_15125 for (2988ds/182Mi)
% 8.64/2.45 % (15312)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_15125 for (2988ds/164Mi)
% 8.64/2.49 % (15300)Instruction limit reached!
% 8.64/2.49 % (15300)------------------------------
% 8.64/2.49 % (15300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.64/2.49 % (15300)Termination reason: Unknown
% 8.64/2.49 % (15300)Termination phase: Saturation
% 8.64/2.49
% 8.64/2.49 % (15300)Memory used [KB]: 6780
% 8.64/2.49 % (15300)Time elapsed: 0.214 s
% 8.64/2.49 % (15300)Instructions burned: 460 (million)
% 8.64/2.49 % (15300)------------------------------
% 8.64/2.49 % (15300)------------------------------
% 8.64/2.49 % (15309)Instruction limit reached!
% 8.64/2.49 % (15309)------------------------------
% 8.64/2.49 % (15309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.64/2.49 % (15309)Termination reason: Unknown
% 8.64/2.49 % (15309)Termination phase: Saturation
% 8.64/2.49
% 8.64/2.49 % (15309)Memory used [KB]: 5884
% 8.64/2.49 % (15309)Time elapsed: 0.055 s
% 8.64/2.49 % (15309)Instructions burned: 115 (million)
% 8.64/2.49 % (15309)------------------------------
% 8.64/2.49 % (15309)------------------------------
% 9.43/2.50 % (15313)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_15125 for (2988ds/50Mi)
% 9.43/2.51 % (15314)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_15125 for (2988ds/368Mi)
% 9.43/2.53 % (15308)Instruction limit reached!
% 9.43/2.53 % (15308)------------------------------
% 9.43/2.53 % (15308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.43/2.53 % (15308)Termination reason: Unknown
% 9.43/2.53 % (15308)Termination phase: Saturation
% 9.43/2.53
% 9.43/2.53 % (15308)Memory used [KB]: 5756
% 9.43/2.53 % (15308)Time elapsed: 0.094 s
% 9.43/2.53 % (15308)Instructions burned: 216 (million)
% 9.43/2.53 % (15308)------------------------------
% 9.43/2.53 % (15308)------------------------------
% 9.43/2.53 % (15312)Instruction limit reached!
% 9.43/2.53 % (15312)------------------------------
% 9.43/2.53 % (15312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.43/2.53 % (15312)Termination reason: Unknown
% 9.43/2.53 % (15312)Termination phase: Saturation
% 9.43/2.53
% 9.43/2.53 % (15312)Memory used [KB]: 1535
% 9.43/2.53 % (15312)Time elapsed: 0.077 s
% 9.43/2.53 % (15312)Instructions burned: 164 (million)
% 9.43/2.53 % (15312)------------------------------
% 9.43/2.53 % (15312)------------------------------
% 9.43/2.53 % (15313)Instruction limit reached!
% 9.43/2.53 % (15313)------------------------------
% 9.43/2.53 % (15313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.43/2.53 % (15313)Termination reason: Unknown
% 9.43/2.53 % (15313)Termination phase: Saturation
% 9.43/2.53
% 9.43/2.53 % (15313)Memory used [KB]: 10234
% 9.43/2.53 % (15313)Time elapsed: 0.027 s
% 9.43/2.53 % (15313)Instructions burned: 50 (million)
% 9.43/2.53 % (15313)------------------------------
% 9.43/2.53 % (15313)------------------------------
% 9.43/2.53 % (15311)Instruction limit reached!
% 9.43/2.53 % (15311)------------------------------
% 9.43/2.53 % (15311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.43/2.53 % (15311)Termination reason: Unknown
% 9.43/2.53 % (15311)Termination phase: Saturation
% 9.43/2.53
% 9.43/2.53 % (15311)Memory used [KB]: 5884
% 9.43/2.53 % (15311)Time elapsed: 0.085 s
% 9.43/2.53 % (15311)Instructions burned: 183 (million)
% 9.43/2.53 % (15311)------------------------------
% 9.43/2.53 % (15311)------------------------------
% 9.43/2.54 % (15315)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_15125 for (2988ds/1021Mi)
% 9.43/2.54 % (15316)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_15125 for (2988ds/267Mi)
% 9.43/2.55 % (15317)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_15125 for (2988ds/204Mi)
% 9.43/2.55 % (15318)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_15125 for (2988ds/26Mi)
% 9.43/2.56 % (15318)Instruction limit reached!
% 9.43/2.56 % (15318)------------------------------
% 9.43/2.56 % (15318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.43/2.56 % (15318)Termination reason: Unknown
% 9.43/2.56 % (15318)Termination phase: Saturation
% 9.43/2.56
% 9.43/2.56 % (15318)Memory used [KB]: 5628
% 9.43/2.56 % (15318)Time elapsed: 0.014 s
% 9.43/2.56 % (15318)Instructions burned: 26 (million)
% 9.43/2.56 % (15318)------------------------------
% 9.43/2.56 % (15318)------------------------------
% 9.43/2.58 % (15319)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_15125 for (2987ds/53Mi)
% 9.81/2.60 % (15319)Instruction limit reached!
% 9.81/2.60 % (15319)------------------------------
% 9.81/2.60 % (15319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.81/2.60 % (15319)Termination reason: Unknown
% 9.81/2.60 % (15319)Termination phase: Saturation
% 9.81/2.60
% 9.81/2.60 % (15319)Memory used [KB]: 5628
% 9.81/2.60 % (15319)Time elapsed: 0.024 s
% 9.81/2.60 % (15319)Instructions burned: 54 (million)
% 9.81/2.60 % (15319)------------------------------
% 9.81/2.60 % (15319)------------------------------
% 9.81/2.62 % (15320)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_15125 for (2987ds/4436Mi)
% 9.81/2.64 % (15317)Instruction limit reached!
% 9.81/2.64 % (15317)------------------------------
% 9.81/2.64 % (15317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.81/2.64 % (15317)Termination reason: Unknown
% 9.81/2.64 % (15317)Termination phase: Saturation
% 9.81/2.64
% 9.81/2.64 % (15317)Memory used [KB]: 5884
% 9.81/2.64 % (15317)Time elapsed: 0.098 s
% 9.81/2.64 % (15317)Instructions burned: 204 (million)
% 9.81/2.64 % (15317)------------------------------
% 9.81/2.64 % (15317)------------------------------
% 9.81/2.66 % (15321)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_15125 for (2986ds/1539Mi)
% 9.81/2.67 % (15316)Instruction limit reached!
% 9.81/2.67 % (15316)------------------------------
% 9.81/2.67 % (15316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.81/2.67 % (15316)Termination reason: Unknown
% 9.81/2.67 % (15316)Termination phase: Saturation
% 9.81/2.67
% 9.81/2.67 % (15316)Memory used [KB]: 6396
% 9.81/2.67 % (15316)Time elapsed: 0.128 s
% 9.81/2.67 % (15316)Instructions burned: 268 (million)
% 9.81/2.67 % (15316)------------------------------
% 9.81/2.67 % (15316)------------------------------
% 9.81/2.68 % (15314)Instruction limit reached!
% 9.81/2.68 % (15314)------------------------------
% 9.81/2.68 % (15314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.81/2.68 % (15314)Termination reason: Unknown
% 9.81/2.68 % (15314)Termination phase: Saturation
% 9.81/2.68
% 9.81/2.68 % (15314)Memory used [KB]: 6268
% 9.81/2.68 % (15314)Time elapsed: 0.172 s
% 9.81/2.68 % (15314)Instructions burned: 369 (million)
% 9.81/2.68 % (15314)------------------------------
% 9.81/2.68 % (15314)------------------------------
% 9.81/2.69 % (15322)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_15125 for (2986ds/408Mi)
% 9.81/2.69 % (15323)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_15125 for (2986ds/5205Mi)
% 9.81/2.69 % (15322)Refutation not found, incomplete strategy
% 9.81/2.69 % (15322)------------------------------
% 9.81/2.69 % (15322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.81/2.69 % (15322)Termination reason: Refutation not found, incomplete strategy
% 9.81/2.69
% 9.81/2.69
% 9.81/2.69 % (15322)Memory used [KB]: 5628
% 9.81/2.69 % (15322)Time elapsed: 0.006 s
% 9.81/2.69 % (15322)Instructions burned: 9 (million)
% 9.81/2.69 % (15322)------------------------------
% 9.81/2.69 % (15322)------------------------------
% 10.31/2.71 % (15324)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_15125 for (2986ds/1913Mi)
% 10.31/2.78 % (15303)Instruction limit reached!
% 10.31/2.78 % (15303)------------------------------
% 10.31/2.78 % (15303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.31/2.78 % (15303)Termination reason: Unknown
% 10.31/2.78 % (15303)Termination phase: Saturation
% 10.31/2.78
% 10.31/2.78 % (15303)Memory used [KB]: 9466
% 10.31/2.78 % (15303)Time elapsed: 0.454 s
% 10.31/2.78 % (15303)Instructions burned: 988 (million)
% 10.31/2.78 % (15303)------------------------------
% 10.31/2.78 % (15303)------------------------------
% 10.78/2.80 % (15325)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_15125 for (2985ds/4350Mi)
% 10.78/2.87 % (15310)Instruction limit reached!
% 10.78/2.87 % (15310)------------------------------
% 10.78/2.87 % (15310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.78/2.87 % (15310)Termination reason: Unknown
% 10.78/2.87 % (15310)Termination phase: Saturation
% 10.78/2.87
% 10.78/2.87 % (15310)Memory used [KB]: 7291
% 10.78/2.87 % (15310)Time elapsed: 0.427 s
% 10.78/2.87 % (15310)Instructions burned: 922 (million)
% 10.78/2.87 % (15310)------------------------------
% 10.78/2.87 % (15310)------------------------------
% 10.78/2.89 % (15326)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_15125 for (2984ds/68Mi)
% 11.22/2.92 % (15326)Instruction limit reached!
% 11.22/2.92 % (15326)------------------------------
% 11.22/2.92 % (15326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.22/2.92 % (15326)Termination reason: Unknown
% 11.22/2.92 % (15326)Termination phase: Saturation
% 11.22/2.92
% 11.22/2.92 % (15326)Memory used [KB]: 5756
% 11.22/2.92 % (15326)Time elapsed: 0.057 s
% 11.22/2.92 % (15326)Instructions burned: 68 (million)
% 11.22/2.92 % (15326)------------------------------
% 11.22/2.92 % (15326)------------------------------
% 11.22/2.94 % (15327)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_15125 for (2984ds/358Mi)
% 13.50/3.03 % (15315)Instruction limit reached!
% 13.50/3.03 % (15315)------------------------------
% 13.50/3.03 % (15315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.50/3.03 % (15315)Termination reason: Unknown
% 13.50/3.03 % (15315)Termination phase: Saturation
% 13.50/3.03
% 13.50/3.03 % (15315)Memory used [KB]: 6524
% 13.50/3.03 % (15315)Time elapsed: 0.506 s
% 13.50/3.03 % (15315)Instructions burned: 1022 (million)
% 13.50/3.03 % (15315)------------------------------
% 13.50/3.03 % (15315)------------------------------
% 13.50/3.05 % (15328)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_15125 for (2983ds/31Mi)
% 13.50/3.06 % (15328)Instruction limit reached!
% 13.50/3.06 % (15328)------------------------------
% 13.50/3.06 % (15328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.50/3.06 % (15328)Termination reason: Unknown
% 13.50/3.06 % (15328)Termination phase: Saturation
% 13.50/3.06
% 13.50/3.06 % (15328)Memory used [KB]: 5628
% 13.50/3.06 % (15328)Time elapsed: 0.040 s
% 13.50/3.06 % (15328)Instructions burned: 31 (million)
% 13.50/3.06 % (15328)------------------------------
% 13.50/3.06 % (15328)------------------------------
% 13.50/3.08 % (15329)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_15125 for (2982ds/279Mi)
% 13.50/3.10 % (15327)Instruction limit reached!
% 13.50/3.10 % (15327)------------------------------
% 13.50/3.10 % (15327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.50/3.10 % (15327)Termination reason: Unknown
% 13.50/3.10 % (15327)Termination phase: Saturation
% 13.50/3.10
% 13.50/3.10 % (15327)Memory used [KB]: 6012
% 13.50/3.10 % (15327)Time elapsed: 0.190 s
% 13.50/3.10 % (15327)Instructions burned: 359 (million)
% 13.50/3.10 % (15327)------------------------------
% 13.50/3.10 % (15327)------------------------------
% 13.50/3.12 % (15331)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_15125 for (2982ds/258Mi)
% 14.53/3.21 % (15329)Instruction limit reached!
% 14.53/3.21 % (15329)------------------------------
% 14.53/3.21 % (15329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.53/3.21 % (15329)Termination reason: Unknown
% 14.53/3.21 % (15329)Termination phase: Saturation
% 14.53/3.21
% 14.53/3.21 % (15329)Memory used [KB]: 6140
% 14.53/3.21 % (15329)Time elapsed: 0.154 s
% 14.53/3.21 % (15329)Instructions burned: 279 (million)
% 14.53/3.21 % (15329)------------------------------
% 14.53/3.21 % (15329)------------------------------
% 14.53/3.23 % (15332)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_15125 for (2981ds/26Mi)
% 14.53/3.24 % (15331)Instruction limit reached!
% 14.53/3.24 % (15331)------------------------------
% 14.53/3.24 % (15331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.53/3.24 % (15331)Termination reason: Unknown
% 14.53/3.24 % (15331)Termination phase: Saturation
% 14.53/3.24
% 14.53/3.24 % (15331)Memory used [KB]: 6140
% 14.53/3.24 % (15331)Time elapsed: 0.143 s
% 14.53/3.24 % (15331)Instructions burned: 259 (million)
% 14.53/3.24 % (15331)------------------------------
% 14.53/3.24 % (15331)------------------------------
% 14.53/3.24 % (15332)Instruction limit reached!
% 14.53/3.24 % (15332)------------------------------
% 14.53/3.24 % (15332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.53/3.24 % (15332)Termination reason: Unknown
% 14.53/3.24 % (15332)Termination phase: Saturation
% 14.53/3.24
% 14.53/3.24 % (15332)Memory used [KB]: 5628
% 14.53/3.24 % (15332)Time elapsed: 0.037 s
% 14.53/3.24 % (15332)Instructions burned: 27 (million)
% 14.53/3.24 % (15332)------------------------------
% 14.53/3.24 % (15332)------------------------------
% 14.53/3.25 % (15333)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_15125 for (2980ds/995Mi)
% 14.53/3.26 % (15334)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_15125 for (2980ds/373Mi)
% 15.33/3.36 % (15321)Instruction limit reached!
% 15.33/3.36 % (15321)------------------------------
% 15.33/3.36 % (15321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.33/3.36 % (15321)Termination reason: Unknown
% 15.33/3.36 % (15321)Termination phase: Saturation
% 15.33/3.36
% 15.33/3.36 % (15321)Memory used [KB]: 7803
% 15.33/3.36 % (15321)Time elapsed: 0.728 s
% 15.33/3.36 % (15321)Instructions burned: 1540 (million)
% 15.33/3.36 % (15321)------------------------------
% 15.33/3.36 % (15321)------------------------------
% 15.33/3.38 % (15335)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_15125 for (2979ds/253Mi)
% 15.83/3.43 % (15334)Instruction limit reached!
% 15.83/3.43 % (15334)------------------------------
% 15.83/3.43 % (15334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.83/3.43 % (15334)Termination reason: Unknown
% 15.83/3.43 % (15334)Termination phase: Saturation
% 15.83/3.43
% 15.83/3.43 % (15334)Memory used [KB]: 6140
% 15.83/3.43 % (15334)Time elapsed: 0.175 s
% 15.83/3.43 % (15334)Instructions burned: 373 (million)
% 15.83/3.43 % (15334)------------------------------
% 15.83/3.43 % (15334)------------------------------
% 15.83/3.45 % (15336)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_15125 for (2978ds/832Mi)
% 15.83/3.45 % (15336)Refutation not found, incomplete strategy
% 15.83/3.45 % (15336)------------------------------
% 15.83/3.45 % (15336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.83/3.45 % (15336)Termination reason: Refutation not found, incomplete strategy
% 15.83/3.45
% 15.83/3.45
% 15.83/3.45 % (15336)Memory used [KB]: 5628
% 15.83/3.45 % (15336)Time elapsed: 0.006 s
% 15.83/3.45 % (15336)Instructions burned: 9 (million)
% 15.83/3.45 % (15336)------------------------------
% 15.83/3.45 % (15336)------------------------------
% 15.83/3.47 % (15337)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_15125 for (2978ds/668Mi)
% 16.43/3.50 % (15335)Instruction limit reached!
% 16.43/3.50 % (15335)------------------------------
% 16.43/3.50 % (15335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.43/3.50 % (15335)Termination reason: Unknown
% 16.43/3.50 % (15335)Termination phase: Saturation
% 16.43/3.50
% 16.43/3.50 % (15335)Memory used [KB]: 6268
% 16.43/3.50 % (15335)Time elapsed: 0.120 s
% 16.43/3.50 % (15335)Instructions burned: 253 (million)
% 16.43/3.50 % (15335)------------------------------
% 16.43/3.50 % (15335)------------------------------
% 16.43/3.51 % (15338)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_15125 for (2978ds/40Mi)
% 16.43/3.53 % (15338)Instruction limit reached!
% 16.43/3.53 % (15338)------------------------------
% 16.43/3.53 % (15338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.43/3.53 % (15338)Termination reason: Unknown
% 16.43/3.53 % (15338)Termination phase: Saturation
% 16.43/3.53
% 16.43/3.53 % (15338)Memory used [KB]: 5628
% 16.43/3.53 % (15338)Time elapsed: 0.020 s
% 16.43/3.53 % (15338)Instructions burned: 41 (million)
% 16.43/3.53 % (15338)------------------------------
% 16.43/3.53 % (15338)------------------------------
% 16.43/3.55 % (15339)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_15125 for (2977ds/294Mi)
% 16.43/3.59 % (15324)Instruction limit reached!
% 16.43/3.59 % (15324)------------------------------
% 16.43/3.59 % (15324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.43/3.59 % (15324)Termination reason: Unknown
% 16.43/3.59 % (15324)Termination phase: Saturation
% 16.43/3.59
% 16.43/3.59 % (15324)Memory used [KB]: 3454
% 16.43/3.59 % (15324)Time elapsed: 0.903 s
% 16.43/3.59 % (15324)Instructions burned: 1913 (million)
% 16.43/3.59 % (15324)------------------------------
% 16.43/3.59 % (15324)------------------------------
% 17.00/3.61 % (15340)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_15125 for (2977ds/187Mi)
% 17.00/3.68 % (15339)Instruction limit reached!
% 17.00/3.68 % (15339)------------------------------
% 17.00/3.68 % (15339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.00/3.68 % (15339)Termination reason: Unknown
% 17.00/3.68 % (15339)Termination phase: Saturation
% 17.00/3.68
% 17.00/3.68 % (15339)Memory used [KB]: 6140
% 17.00/3.68 % (15339)Time elapsed: 0.136 s
% 17.00/3.68 % (15339)Instructions burned: 295 (million)
% 17.00/3.68 % (15339)------------------------------
% 17.00/3.68 % (15339)------------------------------
% 17.00/3.69 % (15333)Refutation not found, non-redundant clauses discarded% (15333)------------------------------
% 17.00/3.69 % (15333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.00/3.69 % (15333)Termination reason: Refutation not found, non-redundant clauses discarded
% 17.00/3.69
% 17.00/3.69 % (15333)Memory used [KB]: 7675
% 17.00/3.69 % (15333)Time elapsed: 0.439 s
% 17.00/3.69 % (15333)Instructions burned: 966 (million)
% 17.00/3.69 % (15333)------------------------------
% 17.00/3.69 % (15333)------------------------------
% 17.00/3.69 % (15340)Instruction limit reached!
% 17.00/3.69 % (15340)------------------------------
% 17.00/3.69 % (15340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.00/3.69 % (15340)Termination reason: Unknown
% 17.00/3.69 % (15340)Termination phase: Saturation
% 17.00/3.69
% 17.00/3.69 % (15340)Memory used [KB]: 6012
% 17.00/3.69 % (15340)Time elapsed: 0.090 s
% 17.00/3.69 % (15340)Instructions burned: 187 (million)
% 17.00/3.69 % (15340)------------------------------
% 17.00/3.69 % (15340)------------------------------
% 18.00/3.70 % (15341)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_15125 for (2976ds/371Mi)
% 18.00/3.71 % (15342)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_15125 for (2976ds/1827Mi)
% 18.00/3.71 % (15343)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_15125 for (2976ds/70Mi)
% 18.00/3.74 % (15343)Instruction limit reached!
% 18.00/3.74 % (15343)------------------------------
% 18.00/3.74 % (15343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.00/3.74 % (15343)Termination reason: Unknown
% 18.00/3.74 % (15343)Termination phase: Saturation
% 18.00/3.74
% 18.00/3.74 % (15343)Memory used [KB]: 1151
% 18.00/3.74 % (15343)Time elapsed: 0.033 s
% 18.00/3.74 % (15343)Instructions burned: 72 (million)
% 18.00/3.74 % (15343)------------------------------
% 18.00/3.74 % (15343)------------------------------
% 18.00/3.76 % (15344)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_15125 for (2975ds/316Mi)
% 18.00/3.78 % (15337)Instruction limit reached!
% 18.00/3.78 % (15337)------------------------------
% 18.00/3.78 % (15337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.00/3.78 % (15337)Termination reason: Unknown
% 18.00/3.78 % (15337)Termination phase: Saturation
% 18.00/3.78
% 18.00/3.78 % (15337)Memory used [KB]: 12281
% 18.00/3.78 % (15337)Time elapsed: 0.310 s
% 18.00/3.78 % (15337)Instructions burned: 668 (million)
% 18.00/3.78 % (15337)------------------------------
% 18.00/3.78 % (15337)------------------------------
% 18.00/3.79 % (15345)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_15125 for (2975ds/932Mi)
% 18.68/3.87 % (15341)Instruction limit reached!
% 18.68/3.87 % (15341)------------------------------
% 18.68/3.87 % (15341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.68/3.87 % (15341)Termination reason: Unknown
% 18.68/3.87 % (15341)Termination phase: Saturation
% 18.68/3.87
% 18.68/3.87 % (15341)Memory used [KB]: 6524
% 18.68/3.87 % (15341)Time elapsed: 0.172 s
% 18.68/3.87 % (15341)Instructions burned: 371 (million)
% 18.68/3.87 % (15341)------------------------------
% 18.68/3.87 % (15341)------------------------------
% 18.68/3.89 % (15346)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_15125 for (2974ds/4714Mi)
% 19.17/3.91 % (15344)Instruction limit reached!
% 19.17/3.91 % (15344)------------------------------
% 19.17/3.91 % (15344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.17/3.91 % (15344)Termination reason: Unknown
% 19.17/3.91 % (15344)Termination phase: Saturation
% 19.17/3.91
% 19.17/3.91 % (15344)Memory used [KB]: 6012
% 19.17/3.91 % (15344)Time elapsed: 0.154 s
% 19.17/3.91 % (15344)Instructions burned: 317 (million)
% 19.17/3.91 % (15344)------------------------------
% 19.17/3.91 % (15344)------------------------------
% 19.17/3.93 % (15347)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_15125 for (2974ds/8250Mi)
% 21.72/4.23 % (15345)Instruction limit reached!
% 21.72/4.23 % (15345)------------------------------
% 21.72/4.23 % (15345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.72/4.23 % (15345)Termination reason: Unknown
% 21.72/4.23 % (15345)Termination phase: Saturation
% 21.72/4.23
% 21.72/4.23 % (15345)Memory used [KB]: 7675
% 21.72/4.23 % (15345)Time elapsed: 0.438 s
% 21.72/4.23 % (15345)Instructions burned: 935 (million)
% 21.72/4.23 % (15345)------------------------------
% 21.72/4.23 % (15345)------------------------------
% 21.72/4.24 % (15348)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_15125 for (2970ds/770Mi)
% 21.72/4.24 % (15348)Refutation not found, incomplete strategy
% 21.72/4.24 % (15348)------------------------------
% 21.72/4.24 % (15348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.72/4.24 % (15348)Termination reason: Refutation not found, incomplete strategy
% 21.72/4.24
% 21.72/4.24
% 21.72/4.24 % (15348)Memory used [KB]: 5500
% 21.72/4.24 % (15348)Time elapsed: 0.007 s
% 21.72/4.24 % (15348)Instructions burned: 19 (million)
% 21.72/4.24 % (15348)------------------------------
% 21.72/4.24 % (15348)------------------------------
% 21.72/4.25 % (15349)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_15125 for (2970ds/794Mi)
% 23.56/4.56 % (15320)Instruction limit reached!
% 23.56/4.56 % (15320)------------------------------
% 23.56/4.56 % (15320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.56/4.56 % (15320)Termination reason: Unknown
% 23.56/4.56 % (15320)Termination phase: Saturation
% 23.56/4.56
% 23.56/4.56 % (15320)Memory used [KB]: 8827
% 23.56/4.56 % (15320)Time elapsed: 1.969 s
% 23.56/4.56 % (15320)Instructions burned: 4438 (million)
% 23.56/4.56 % (15320)------------------------------
% 23.56/4.56 % (15320)------------------------------
% 23.56/4.57 % (15349)Instruction limit reached!
% 23.56/4.57 % (15349)------------------------------
% 23.56/4.57 % (15349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.56/4.57 % (15349)Termination reason: Unknown
% 23.56/4.57 % (15349)Termination phase: Saturation
% 23.56/4.57
% 23.56/4.57 % (15349)Memory used [KB]: 2814
% 23.56/4.57 % (15349)Time elapsed: 0.319 s
% 23.56/4.57 % (15349)Instructions burned: 794 (million)
% 23.56/4.57 % (15349)------------------------------
% 23.56/4.57 % (15349)------------------------------
% 23.56/4.58 % (15351)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_15125 for (2967ds/464Mi)
% 23.56/4.59 % (15352)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_15125 for (2967ds/1376Mi)
% 23.56/4.59 % (15342)Instruction limit reached!
% 23.56/4.59 % (15342)------------------------------
% 23.56/4.59 % (15342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.56/4.59 % (15342)Termination reason: Unknown
% 23.56/4.59 % (15342)Termination phase: Saturation
% 23.56/4.59
% 23.56/4.59 % (15342)Memory used [KB]: 8315
% 23.56/4.59 % (15342)Time elapsed: 0.874 s
% 23.56/4.59 % (15342)Instructions burned: 1828 (million)
% 23.56/4.59 % (15342)------------------------------
% 23.56/4.59 % (15342)------------------------------
% 24.48/4.61 % (15353)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_15125 for (2967ds/906Mi)
% 24.87/4.70 % (15325)Instruction limit reached!
% 24.87/4.70 % (15325)------------------------------
% 24.87/4.70 % (15325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.87/4.70 % (15325)Termination reason: Unknown
% 24.87/4.70 % (15325)Termination phase: Saturation
% 24.87/4.70
% 24.87/4.70 % (15325)Memory used [KB]: 7291
% 24.87/4.70 % (15325)Time elapsed: 1.927 s
% 24.87/4.70 % (15325)Instructions burned: 4352 (million)
% 24.87/4.70 % (15325)------------------------------
% 24.87/4.70 % (15325)------------------------------
% 24.87/4.72 % (15354)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_15125 for (2966ds/434Mi)
% 24.87/4.72 % (15354)Refutation not found, incomplete strategy
% 24.87/4.72 % (15354)------------------------------
% 24.87/4.72 % (15354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.87/4.72 % (15354)Termination reason: Refutation not found, incomplete strategy
% 24.87/4.72
% 24.87/4.72
% 24.87/4.72 % (15354)Memory used [KB]: 5628
% 24.87/4.72 % (15354)Time elapsed: 0.007 s
% 24.87/4.72 % (15354)Instructions burned: 10 (million)
% 24.87/4.72 % (15354)------------------------------
% 24.87/4.72 % (15354)------------------------------
% 24.87/4.74 % (15355)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_15125 for (2966ds/865Mi)
% 24.87/4.78 % (15351)Instruction limit reached!
% 24.87/4.78 % (15351)------------------------------
% 24.87/4.78 % (15351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.87/4.78 % (15351)Termination reason: Unknown
% 24.87/4.78 % (15351)Termination phase: Saturation
% 24.87/4.78
% 24.87/4.78 % (15351)Memory used [KB]: 6524
% 24.87/4.78 % (15351)Time elapsed: 0.205 s
% 24.87/4.78 % (15351)Instructions burned: 464 (million)
% 24.87/4.78 % (15351)------------------------------
% 24.87/4.78 % (15351)------------------------------
% 25.42/4.80 % (15356)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_15125 for (2965ds/593Mi)
% 25.72/5.01 % (15323)Instruction limit reached!
% 25.72/5.01 % (15323)------------------------------
% 25.72/5.01 % (15323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.72/5.01 % (15323)Termination reason: Unknown
% 25.72/5.01 % (15323)Termination phase: Saturation
% 25.72/5.01
% 25.72/5.01 % (15323)Memory used [KB]: 10874
% 25.72/5.01 % (15323)Time elapsed: 2.339 s
% 25.72/5.01 % (15323)Instructions burned: 5206 (million)
% 25.72/5.01 % (15323)------------------------------
% 25.72/5.01 % (15323)------------------------------
% 25.72/5.02 % (15353)Instruction limit reached!
% 25.72/5.02 % (15353)------------------------------
% 25.72/5.02 % (15353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.72/5.02 % (15353)Termination reason: Unknown
% 25.72/5.02 % (15353)Termination phase: Saturation
% 25.72/5.02
% 25.72/5.02 % (15353)Memory used [KB]: 6524
% 25.72/5.02 % (15353)Time elapsed: 0.419 s
% 25.72/5.02 % (15353)Instructions burned: 906 (million)
% 25.72/5.02 % (15353)------------------------------
% 25.72/5.02 % (15353)------------------------------
% 25.72/5.03 % (15357)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_15125 for (2963ds/443Mi)
% 27.49/5.04 % (15358)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_15125 for (2963ds/594Mi)
% 27.49/5.07 % (15356)Instruction limit reached!
% 27.49/5.07 % (15356)------------------------------
% 27.49/5.07 % (15356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.49/5.07 % (15356)Termination reason: Unknown
% 27.49/5.07 % (15356)Termination phase: Saturation
% 27.49/5.07
% 27.49/5.07 % (15356)Memory used [KB]: 6652
% 27.49/5.07 % (15356)Time elapsed: 0.276 s
% 27.49/5.07 % (15356)Instructions burned: 594 (million)
% 27.49/5.07 % (15356)------------------------------
% 27.49/5.07 % (15356)------------------------------
% 27.49/5.09 % (15359)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_15125 for (2962ds/327Mi)
% 27.49/5.13 % (15355)Instruction limit reached!
% 27.49/5.13 % (15355)------------------------------
% 27.49/5.13 % (15355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.49/5.13 % (15355)Termination reason: Unknown
% 27.49/5.13 % (15355)Termination phase: Saturation
% 27.49/5.13
% 27.49/5.13 % (15355)Memory used [KB]: 6524
% 27.49/5.13 % (15355)Time elapsed: 0.386 s
% 27.49/5.13 % (15355)Instructions burned: 865 (million)
% 27.49/5.13 % (15355)------------------------------
% 27.49/5.13 % (15355)------------------------------
% 27.97/5.14 % (15360)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_15125 for (2962ds/5411Mi)
% 28.18/5.23 % (15357)Instruction limit reached!
% 28.18/5.23 % (15357)------------------------------
% 28.18/5.23 % (15357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.18/5.23 % (15357)Termination reason: Unknown
% 28.18/5.23 % (15357)Termination phase: Saturation
% 28.18/5.23
% 28.18/5.23 % (15357)Memory used [KB]: 6140
% 28.18/5.23 % (15357)Time elapsed: 0.208 s
% 28.18/5.23 % (15357)Instructions burned: 444 (million)
% 28.18/5.23 % (15357)------------------------------
% 28.18/5.23 % (15357)------------------------------
% 28.18/5.23 % (15352)Instruction limit reached!
% 28.18/5.23 % (15352)------------------------------
% 28.18/5.23 % (15352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.18/5.23 % (15352)Termination reason: Unknown
% 28.18/5.23 % (15352)Termination phase: Saturation
% 28.18/5.23
% 28.18/5.23 % (15352)Memory used [KB]: 9722
% 28.18/5.23 % (15352)Time elapsed: 0.648 s
% 28.18/5.23 % (15352)Instructions burned: 1377 (million)
% 28.18/5.23 % (15352)------------------------------
% 28.18/5.23 % (15352)------------------------------
% 28.18/5.25 % (15361)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_15125 for (2961ds/1762Mi)
% 28.18/5.25 % (15359)Instruction limit reached!
% 28.18/5.25 % (15359)------------------------------
% 28.18/5.25 % (15359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.18/5.25 % (15359)Termination reason: Unknown
% 28.18/5.25 % (15359)Termination phase: Saturation
% 28.18/5.25
% 28.18/5.25 % (15359)Memory used [KB]: 6780
% 28.18/5.25 % (15359)Time elapsed: 0.163 s
% 28.18/5.25 % (15359)Instructions burned: 328 (million)
% 28.18/5.25 % (15359)------------------------------
% 28.18/5.25 % (15359)------------------------------
% 28.18/5.25 % (15362)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_15125 for (2960ds/96Mi)
% 28.18/5.27 % (15363)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_15125 for (2960ds/503Mi)
% 28.84/5.30 % (15362)Instruction limit reached!
% 28.84/5.30 % (15362)------------------------------
% 28.84/5.30 % (15362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.84/5.30 % (15362)Termination reason: Unknown
% 28.84/5.30 % (15362)Termination phase: Saturation
% 28.84/5.30
% 28.84/5.30 % (15362)Memory used [KB]: 5884
% 28.84/5.30 % (15362)Time elapsed: 0.049 s
% 28.84/5.30 % (15362)Instructions burned: 96 (million)
% 28.84/5.30 % (15362)------------------------------
% 28.84/5.30 % (15362)------------------------------
% 28.84/5.31 % (15358)Instruction limit reached!
% 28.84/5.31 % (15358)------------------------------
% 28.84/5.31 % (15358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.84/5.31 % (15358)Termination reason: Unknown
% 28.84/5.31 % (15358)Termination phase: Saturation
% 28.84/5.31
% 28.84/5.31 % (15358)Memory used [KB]: 6268
% 28.84/5.31 % (15358)Time elapsed: 0.274 s
% 28.84/5.31 % (15358)Instructions burned: 596 (million)
% 28.84/5.31 % (15358)------------------------------
% 28.84/5.31 % (15358)------------------------------
% 28.84/5.31 % (15364)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_15125 for (2960ds/90Mi)
% 28.84/5.33 % (15365)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_15125 for (2960ds/593Mi)
% 28.84/5.36 % (15364)Instruction limit reached!
% 28.84/5.36 % (15364)------------------------------
% 28.84/5.36 % (15364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.84/5.36 % (15364)Termination reason: Unknown
% 28.84/5.36 % (15364)Termination phase: Saturation
% 28.84/5.36
% 28.84/5.36 % (15364)Memory used [KB]: 5884
% 28.84/5.36 % (15364)Time elapsed: 0.048 s
% 28.84/5.36 % (15364)Instructions burned: 91 (million)
% 28.84/5.36 % (15364)------------------------------
% 28.84/5.36 % (15364)------------------------------
% 28.84/5.38 % (15366)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_15125 for (2959ds/1512Mi)
% 28.84/5.38 % (15366)Refutation not found, incomplete strategy
% 28.84/5.38 % (15366)------------------------------
% 28.84/5.38 % (15366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.84/5.38 % (15366)Termination reason: Refutation not found, incomplete strategy
% 28.84/5.38
% 28.84/5.38
% 28.84/5.38 % (15366)Memory used [KB]: 5628
% 28.84/5.38 % (15366)Time elapsed: 0.009 s
% 28.84/5.38 % (15366)Instructions burned: 13 (million)
% 28.84/5.38 % (15366)------------------------------
% 28.84/5.38 % (15366)------------------------------
% 29.47/5.40 % (15367)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_15125 for (2959ds/569Mi)
% 29.47/5.49 % (15363)Instruction limit reached!
% 29.47/5.49 % (15363)------------------------------
% 29.47/5.49 % (15363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.47/5.49 % (15363)Termination reason: Unknown
% 29.47/5.49 % (15363)Termination phase: Saturation
% 29.47/5.49
% 29.47/5.49 % (15363)Memory used [KB]: 6268
% 29.47/5.49 % (15363)Time elapsed: 0.222 s
% 29.47/5.49 % (15363)Instructions burned: 503 (million)
% 29.47/5.49 % (15363)------------------------------
% 29.47/5.49 % (15363)------------------------------
% 29.91/5.50 % (15368)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_15125 for (2958ds/501Mi)
% 30.11/5.61 % (15365)Instruction limit reached!
% 30.11/5.61 % (15365)------------------------------
% 30.11/5.61 % (15365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.11/5.61 % (15365)Termination reason: Unknown
% 30.11/5.61 % (15365)Termination phase: Saturation
% 30.11/5.61
% 30.11/5.61 % (15365)Memory used [KB]: 6396
% 30.11/5.61 % (15365)Time elapsed: 0.280 s
% 30.11/5.61 % (15365)Instructions burned: 594 (million)
% 30.11/5.61 % (15365)------------------------------
% 30.11/5.61 % (15365)------------------------------
% 30.11/5.62 % (15370)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_15125 for (2957ds/562Mi)
% 30.11/5.67 % (15367)Instruction limit reached!
% 30.11/5.67 % (15367)------------------------------
% 30.11/5.67 % (15367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.11/5.67 % (15367)Termination reason: Unknown
% 30.11/5.67 % (15367)Termination phase: Saturation
% 30.11/5.67
% 30.11/5.67 % (15367)Memory used [KB]: 6524
% 30.11/5.67 % (15367)Time elapsed: 0.268 s
% 30.11/5.67 % (15367)Instructions burned: 570 (million)
% 30.11/5.67 % (15367)------------------------------
% 30.11/5.67 % (15367)------------------------------
% 30.11/5.68 % (15371)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_15125 for (2956ds/406Mi)
% 30.11/5.69 % (15371)Refutation not found, incomplete strategy
% 30.11/5.69 % (15371)------------------------------
% 30.11/5.69 % (15371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.11/5.69 % (15371)Termination reason: Refutation not found, incomplete strategy
% 30.11/5.69
% 30.11/5.69
% 30.11/5.69 % (15371)Memory used [KB]: 5500
% 30.11/5.69 % (15371)Time elapsed: 0.008 s
% 30.11/5.69 % (15371)Instructions burned: 13 (million)
% 30.11/5.69 % (15371)------------------------------
% 30.11/5.69 % (15371)------------------------------
% 30.91/5.71 % (15372)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_15125 for (2956ds/582Mi)
% 30.91/5.74 % (15368)Instruction limit reached!
% 30.91/5.74 % (15368)------------------------------
% 30.91/5.74 % (15368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.91/5.74 % (15368)Termination reason: Unknown
% 30.91/5.74 % (15368)Termination phase: Saturation
% 30.91/5.74
% 30.91/5.74 % (15368)Memory used [KB]: 6524
% 30.91/5.74 % (15368)Time elapsed: 0.237 s
% 30.91/5.74 % (15368)Instructions burned: 503 (million)
% 30.91/5.74 % (15368)------------------------------
% 30.91/5.74 % (15368)------------------------------
% 30.91/5.76 % (15373)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_15125 for (2955ds/456Mi)
% 31.36/5.89 % (15370)Instruction limit reached!
% 31.36/5.89 % (15370)------------------------------
% 31.36/5.89 % (15370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.36/5.89 % (15370)Termination reason: Unknown
% 31.36/5.89 % (15370)Termination phase: Saturation
% 31.36/5.89
% 31.36/5.89 % (15370)Memory used [KB]: 6780
% 31.36/5.89 % (15370)Time elapsed: 0.266 s
% 31.36/5.89 % (15370)Instructions burned: 563 (million)
% 31.36/5.89 % (15370)------------------------------
% 31.36/5.89 % (15370)------------------------------
% 31.85/5.90 % (15374)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_15125 for (2954ds/393Mi)
% 31.85/5.96 % (15373)Instruction limit reached!
% 31.85/5.96 % (15373)------------------------------
% 31.85/5.96 % (15373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.85/5.96 % (15373)Termination reason: Unknown
% 31.85/5.96 % (15373)Termination phase: Saturation
% 31.85/5.96
% 31.85/5.96 % (15373)Memory used [KB]: 6012
% 31.85/5.96 % (15373)Time elapsed: 0.202 s
% 31.85/5.96 % (15373)Instructions burned: 456 (million)
% 31.85/5.96 % (15373)------------------------------
% 31.85/5.96 % (15373)------------------------------
% 31.85/5.97 % (15375)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_15125 for (2953ds/1335Mi)
% 31.85/5.99 % (15372)Instruction limit reached!
% 31.85/5.99 % (15372)------------------------------
% 31.85/5.99 % (15372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.85/5.99 % (15372)Termination reason: Unknown
% 31.85/5.99 % (15372)Termination phase: Saturation
% 31.85/5.99
% 31.85/5.99 % (15372)Memory used [KB]: 7164
% 31.85/5.99 % (15372)Time elapsed: 0.280 s
% 31.85/5.99 % (15372)Instructions burned: 582 (million)
% 31.85/5.99 % (15372)------------------------------
% 31.85/5.99 % (15372)------------------------------
% 31.85/6.00 % (15346)Instruction limit reached!
% 31.85/6.00 % (15346)------------------------------
% 31.85/6.00 % (15346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.85/6.00 % (15346)Termination reason: Unknown
% 31.85/6.00 % (15346)Termination phase: Saturation
% 31.85/6.00
% 31.85/6.00 % (15346)Memory used [KB]: 8315
% 31.85/6.00 % (15346)Time elapsed: 2.114 s
% 31.85/6.00 % (15346)Instructions burned: 4715 (million)
% 31.85/6.00 % (15346)------------------------------
% 31.85/6.00 % (15346)------------------------------
% 31.85/6.00 % (15376)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_15125 for (2953ds/3373Mi)
% 31.85/6.01 % (15377)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_15125 for (2953ds/474Mi)
% 34.49/6.04 % (15361)Instruction limit reached!
% 34.49/6.04 % (15361)------------------------------
% 34.49/6.04 % (15361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.49/6.04 % (15361)Termination reason: Unknown
% 34.49/6.04 % (15361)Termination phase: Saturation
% 34.49/6.04
% 34.49/6.04 % (15361)Memory used [KB]: 8315
% 34.49/6.04 % (15361)Time elapsed: 0.813 s
% 34.49/6.04 % (15361)Instructions burned: 1764 (million)
% 34.49/6.04 % (15361)------------------------------
% 34.49/6.04 % (15361)------------------------------
% 34.49/6.05 % (15378)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_15125 for (2952ds/157Mi)
% 34.49/6.08 % (15374)Refutation not found, incomplete strategy
% 34.49/6.08 % (15374)------------------------------
% 34.49/6.08 % (15374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.49/6.08 % (15374)Termination reason: Refutation not found, incomplete strategy
% 34.49/6.08
% 34.49/6.08
% 34.49/6.08 % (15374)Memory used [KB]: 6396
% 34.49/6.08 % (15374)Time elapsed: 0.179 s
% 34.49/6.08 % (15374)Instructions burned: 360 (million)
% 34.49/6.08 % (15374)------------------------------
% 34.49/6.08 % (15374)------------------------------
% 34.49/6.10 % (15379)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_15125 for (2952ds/590Mi)
% 34.99/6.13 % (15378)Instruction limit reached!
% 34.99/6.13 % (15378)------------------------------
% 34.99/6.13 % (15378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.99/6.13 % (15378)Termination reason: Unknown
% 34.99/6.13 % (15378)Termination phase: Saturation
% 34.99/6.13
% 34.99/6.13 % (15378)Memory used [KB]: 5884
% 34.99/6.13 % (15378)Time elapsed: 0.077 s
% 34.99/6.13 % (15378)Instructions burned: 158 (million)
% 34.99/6.13 % (15378)------------------------------
% 34.99/6.13 % (15378)------------------------------
% 34.99/6.15 % (15380)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_15125 for (2951ds/104Mi)
% 35.37/6.20 % (15380)Instruction limit reached!
% 35.37/6.20 % (15380)------------------------------
% 35.37/6.20 % (15380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.37/6.20 % (15380)Termination reason: Unknown
% 35.37/6.20 % (15380)Termination phase: Saturation
% 35.37/6.20
% 35.37/6.20 % (15380)Memory used [KB]: 5756
% 35.37/6.20 % (15380)Time elapsed: 0.052 s
% 35.37/6.20 % (15380)Instructions burned: 104 (million)
% 35.37/6.20 % (15380)------------------------------
% 35.37/6.20 % (15380)------------------------------
% 35.37/6.21 % (15381)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_15125 for (2951ds/414Mi)
% 35.37/6.23 % (15377)Instruction limit reached!
% 35.37/6.23 % (15377)------------------------------
% 35.37/6.23 % (15377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.37/6.23 % (15377)Termination reason: Unknown
% 35.37/6.23 % (15377)Termination phase: Saturation
% 35.37/6.23
% 35.37/6.23 % (15377)Memory used [KB]: 7164
% 35.37/6.23 % (15377)Time elapsed: 0.222 s
% 35.37/6.23 % (15377)Instructions burned: 474 (million)
% 35.37/6.23 % (15377)------------------------------
% 35.37/6.23 % (15377)------------------------------
% 35.37/6.25 % (15382)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_15125 for (2950ds/715Mi)
% 36.06/6.38 % (15379)Instruction limit reached!
% 36.06/6.38 % (15379)------------------------------
% 36.06/6.38 % (15379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.06/6.38 % (15379)Termination reason: Unknown
% 36.06/6.38 % (15379)Termination phase: Saturation
% 36.06/6.38
% 36.06/6.38 % (15379)Memory used [KB]: 7675
% 36.06/6.38 % (15379)Time elapsed: 0.278 s
% 36.06/6.38 % (15379)Instructions burned: 590 (million)
% 36.06/6.38 % (15379)------------------------------
% 36.06/6.38 % (15379)------------------------------
% 36.06/6.39 % (15383)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_15125 for (2949ds/961Mi)
% 36.76/6.41 % (15381)Instruction limit reached!
% 36.76/6.41 % (15381)------------------------------
% 36.76/6.41 % (15381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.76/6.41 % (15381)Termination reason: Unknown
% 36.76/6.41 % (15381)Termination phase: Saturation
% 36.76/6.41
% 36.76/6.41 % (15381)Memory used [KB]: 6396
% 36.76/6.41 % (15381)Time elapsed: 0.194 s
% 36.76/6.41 % (15381)Instructions burned: 414 (million)
% 36.76/6.41 % (15381)------------------------------
% 36.76/6.41 % (15381)------------------------------
% 36.76/6.42 % (15384)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_15125 for (2949ds/1213Mi)
% 37.37/6.57 % (15375)Instruction limit reached!
% 37.37/6.57 % (15375)------------------------------
% 37.37/6.57 % (15375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.37/6.57 % (15375)Termination reason: Unknown
% 37.37/6.57 % (15375)Termination phase: Saturation
% 37.37/6.57
% 37.37/6.57 % (15375)Memory used [KB]: 7036
% 37.37/6.57 % (15375)Time elapsed: 0.598 s
% 37.37/6.57 % (15375)Instructions burned: 1336 (million)
% 37.37/6.57 % (15375)------------------------------
% 37.37/6.57 % (15375)------------------------------
% 37.37/6.58 % (15382)Instruction limit reached!
% 37.37/6.58 % (15382)------------------------------
% 37.37/6.58 % (15382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.37/6.58 % (15382)Termination reason: Unknown
% 37.37/6.58 % (15382)Termination phase: Saturation
% 37.37/6.58
% 37.37/6.58 % (15382)Memory used [KB]: 1918
% 37.37/6.58 % (15382)Time elapsed: 0.331 s
% 37.37/6.58 % (15382)Instructions burned: 716 (million)
% 37.37/6.58 % (15382)------------------------------
% 37.37/6.58 % (15382)------------------------------
% 37.37/6.59 % (15385)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_15125 for (2947ds/1979Mi)
% 37.37/6.60 % (15386)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_15125 for (2947ds/481Mi)
% 38.10/6.69 % (15384)First to succeed.
% 38.40/6.70 % (15384)Refutation found. Thanks to Tanya!
% 38.40/6.70 % SZS status Theorem for DTF2THF_15125
% 38.40/6.70 % SZS output start Proof for DTF2THF_15125
% 38.40/6.70 thf(func_def_0, type, in: $i > $i > $o).
% 38.40/6.70 thf(func_def_1, type, subset: $i > $i > $o).
% 38.40/6.70 thf(func_def_4, type, binunion: $i > $i > $i).
% 38.40/6.70 thf(func_def_5, type, kpair: $i > $i > $i).
% 38.40/6.70 thf(func_def_6, type, breln1: $i > $i > $o).
% 38.40/6.70 thf(func_def_14, type, sK0: $i > $i > $i > $i).
% 38.40/6.70 thf(func_def_15, type, sK1: $i > $i > $i > $i).
% 38.40/6.70 thf(func_def_42, type, sF28: $i > $o).
% 38.40/6.70 thf(func_def_44, type, sF30: $i > $i).
% 38.40/6.70 thf(func_def_46, type, sF32: $i > $i).
% 38.40/6.70 thf(f1426,plain,(
% 38.40/6.70 $false),
% 38.40/6.70 inference(avatar_sat_refutation,[status(thm)],[f164,f173,f232,f236,f240,f258,f259,f264,f270,f276,f280,f281,f300,f311,f312,f346,f375,f376,f385,f388,f440,f443,f519,f527,f863,f1364,f1374,f1403,f1425])).
% 38.40/6.70 thf(f1425,plain,(
% 38.40/6.70 spl35_67 | ~spl35_27 | ~spl35_31 | ~spl35_52 | spl35_82 | ~spl35_83),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f1424,f1372,f1361,f383,f278,f256,f757])).
% 38.40/6.70 thf(f757,definition,(
% 38.40/6.70 spl35_67 <=> ! [X0 : $i] : (((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sK22) != $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_67])],[avatar_definition])).
% 38.40/6.70 thf(f256,definition,(
% 38.40/6.70 spl35_27 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ X0 @ X2) = $true) | ((in @ (sK0 @ X2 @ X1 @ X0) @ X1) = $true) | ((breln1 @ X1 @ X2) != $true) | ((breln1 @ X1 @ X0) != $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_27])],[avatar_definition])).
% 38.40/6.70 thf(f278,definition,(
% 38.40/6.70 spl35_31 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (((breln1 @ X1 @ X2) != $true) | ((in @ (sK1 @ X2 @ X1 @ X0) @ X1) = $true) | ((breln1 @ X1 @ X0) != $true) | ((subset @ X0 @ X2) = $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_31])],[avatar_definition])).
% 38.40/6.70 thf(f383,definition,(
% 38.40/6.70 spl35_52 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (((breln1 @ X0 @ X2) != $true) | ((breln1 @ X0 @ X1) != $true) | ((breln1 @ X0 @ (binunion @ X1 @ X2)) = $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_52])],[avatar_definition])).
% 38.40/6.70 thf(f1361,definition,(
% 38.40/6.70 spl35_82 <=> ((subset @ sF33 @ sF31) = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_82])],[avatar_definition])).
% 38.40/6.70 thf(f1372,definition,(
% 38.40/6.70 spl35_83 <=> ! [X0 : $i,X1 : $i] : (((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X1 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != (breln1 @ X1 @ sK20)))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_83])],[avatar_definition])).
% 38.40/6.70 thf(f1424,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sK22) != $true)) ) | (~spl35_27 | ~spl35_31 | ~spl35_52 | spl35_82 | ~spl35_83)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1423,f497])).
% 38.40/6.70 thf(f497,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true = (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sK22) != $true)) ) | ~spl35_52),
% 38.40/6.70 inference(superposition,[status(thm)],[f407,f130])).
% 38.40/6.70 thf(f130,definition,(
% 38.40/6.70 ((sF32 @ sK20) = sF33)),
% 38.40/6.70 introduced(definition,[],[function_definition])).
% 38.40/6.70 thf(f407,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((breln1 @ X1 @ (sF32 @ X0)) = $true) | ((breln1 @ X1 @ sK22) != $true) | ((breln1 @ X1 @ X0) != $true)) ) | ~spl35_52),
% 38.40/6.70 inference(superposition,[status(thm)],[f384,f394])).
% 38.40/6.70 thf(f394,plain,(
% 38.40/6.70 ( ! [X1 : $i] : (((sF32 @ X1) = (binunion @ sK22 @ X1))) )),
% 38.40/6.70 inference(argument_congruence,[status(thm)],[f129])).
% 38.40/6.70 thf(f129,definition,(
% 38.40/6.70 ((binunion @ sK22) = sF32)),
% 38.40/6.70 introduced(definition,[],[function_definition])).
% 38.40/6.70 thf(f384,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((breln1 @ X0 @ (binunion @ X1 @ X2)) = $true) | ((breln1 @ X0 @ X1) != $true) | ((breln1 @ X0 @ X2) != $true)) ) | ~spl35_52),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f383])).
% 38.40/6.70 thf(f1423,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_27 | ~spl35_31 | ~spl35_52 | spl35_82 | ~spl35_83)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1422,f412])).
% 38.40/6.70 thf(f412,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sF31) = $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sK22) != $true)) ) | ~spl35_52),
% 38.40/6.70 inference(superposition,[status(thm)],[f406,f128])).
% 38.40/6.70 thf(f128,definition,(
% 38.40/6.70 (sF31 = (sF30 @ sK22))),
% 38.40/6.70 introduced(definition,[],[function_definition])).
% 38.40/6.70 thf(f406,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((breln1 @ X1 @ (sF30 @ X0)) = $true) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X1 @ X0) != $true)) ) | ~spl35_52),
% 38.40/6.70 inference(superposition,[status(thm)],[f384,f393])).
% 38.40/6.70 thf(f393,plain,(
% 38.40/6.70 ( ! [X1 : $i] : (((sF30 @ X1) = (binunion @ sK20 @ X1))) )),
% 38.40/6.70 inference(argument_congruence,[status(thm)],[f127])).
% 38.40/6.70 thf(f127,definition,(
% 38.40/6.70 (sF30 = (binunion @ sK20))),
% 38.40/6.70 introduced(definition,[],[function_definition])).
% 38.40/6.70 thf(f1422,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_27 | ~spl35_31 | ~spl35_52 | spl35_82 | ~spl35_83)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1421,f1362])).
% 38.40/6.70 thf(f1362,plain,(
% 38.40/6.70 ((subset @ sF33 @ sF31) != $true) | spl35_82),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f1361])).
% 38.40/6.70 thf(f1421,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((subset @ sF33 @ sF31) = $true) | ((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33))) ) | (~spl35_27 | ~spl35_31 | ~spl35_52 | spl35_82 | ~spl35_83)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f1420])).
% 38.40/6.70 thf(f1420,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true != $true) | ((breln1 @ X0 @ sK20) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sF31) != $true) | ((subset @ sF33 @ sF31) = $true) | ((breln1 @ X0 @ sK22) != $true)) ) | (~spl35_27 | ~spl35_31 | ~spl35_52 | spl35_82 | ~spl35_83)),
% 38.40/6.70 inference(superposition,[status(thm)],[f1419,f257])).
% 38.40/6.70 thf(f257,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (sK0 @ X2 @ X1 @ X0) @ X1) = $true) | ((breln1 @ X1 @ X2) != $true) | ((subset @ X0 @ X2) = $true) | ((breln1 @ X1 @ X0) != $true)) ) | ~spl35_27),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f256])).
% 38.40/6.70 thf(f1419,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((in @ (sK0 @ sF31 @ X0 @ sF33) @ X0) != $true) | ((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_31 | ~spl35_52 | spl35_82 | ~spl35_83)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1418,f412])).
% 38.40/6.70 thf(f1418,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((in @ (sK0 @ sF31 @ X0 @ sF33) @ X0) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_31 | ~spl35_52 | spl35_82 | ~spl35_83)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1417,f497])).
% 38.40/6.70 thf(f1417,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sK22) != $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X0) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sF31) != $true)) ) | (~spl35_31 | spl35_82 | ~spl35_83)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1416,f1362])).
% 38.40/6.70 thf(f1416,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((in @ (sK0 @ sF31 @ X0 @ sF33) @ X0) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((subset @ sF33 @ sF31) = $true) | ((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sF31) != $true) | ($true != (breln1 @ X0 @ sF33))) ) | (~spl35_31 | ~spl35_83)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f1415])).
% 38.40/6.70 thf(f1415,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true != $true) | ((breln1 @ X0 @ sK20) != $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X0) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK22) != $true) | ((subset @ sF33 @ sF31) = $true)) ) | (~spl35_31 | ~spl35_83)),
% 38.40/6.70 inference(duplicate_literal_removal,[status(thm)],[f1414])).
% 38.40/6.70 thf(f1414,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((subset @ sF33 @ sF31) = $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X0) != $true) | ((breln1 @ X0 @ sK20) != $true) | ($true != $true) | ((breln1 @ X0 @ sK22) != $true)) ) | (~spl35_31 | ~spl35_83)),
% 38.40/6.70 inference(superposition,[status(thm)],[f1373,f279])).
% 38.40/6.70 thf(f279,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (sK1 @ X2 @ X1 @ X0) @ X1) = $true) | ((subset @ X0 @ X2) = $true) | ((breln1 @ X1 @ X0) != $true) | ((breln1 @ X1 @ X2) != $true)) ) | ~spl35_31),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f278])).
% 38.40/6.70 thf(f1373,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X1 @ sK22) != $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != (breln1 @ X1 @ sK20))) ) | ~spl35_83),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f1372])).
% 38.40/6.70 thf(f1403,plain,(
% 38.40/6.70 spl35_67 | ~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_27 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f1402,f1361,f383,f373,f344,f298,f278,f256,f238,f234,f230,f757])).
% 38.40/6.70 thf(f230,definition,(
% 38.40/6.70 spl35_21 <=> ! [X5 : $i,X9 : $i,X7 : $i,X6 : $i,X8 : $i] : (((in @ X9 @ X6) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) = $true) | ($true != (in @ X8 @ X6)) | ((breln1 @ X6 @ X5) != $true) | ($true != (breln1 @ X6 @ X7)) | ((in @ (kpair @ X8 @ X9) @ X5) = $true) | ((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) != $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_21])],[avatar_definition])).
% 38.40/6.70 thf(f234,definition,(
% 38.40/6.70 spl35_22 <=> ! [X0 : $i,X1 : $i] : ((X0 = X1) | ((subset @ X0 @ X1) != $true) | ((subset @ X1 @ X0) != $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_22])],[avatar_definition])).
% 38.40/6.70 thf(f238,definition,(
% 38.40/6.70 spl35_23 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ X0 @ X2) = $true) | ((in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X0) = $true) | ((breln1 @ X1 @ X0) != $true) | ((breln1 @ X1 @ X2) != $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_23])],[avatar_definition])).
% 38.40/6.70 thf(f298,definition,(
% 38.40/6.70 spl35_35 <=> ! [X5 : $i,X9 : $i,X7 : $i,X6 : $i,X8 : $i] : (((in @ (kpair @ X8 @ X9) @ X7) != $true) | ($true != (breln1 @ X6 @ X7)) | ((breln1 @ X6 @ X5) != $true) | ((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) = $true) | ($true != (in @ X8 @ X6)) | ((in @ X9 @ X6) != $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_35])],[avatar_definition])).
% 38.40/6.70 thf(f344,definition,(
% 38.40/6.70 spl35_44 <=> ! [X4 : $i,X0 : $i,X3 : $i,X2 : $i,X1 : $i] : (((breln1 @ X0 @ X2) != $true) | ((breln1 @ X0 @ X1) != $true) | ((in @ X3 @ X0) != $true) | ((in @ X4 @ X0) != $true) | ((in @ (kpair @ X3 @ X4) @ X1) != $true) | ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_44])],[avatar_definition])).
% 38.40/6.70 thf(f373,definition,(
% 38.40/6.70 spl35_50 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X2)) | ((subset @ X0 @ X2) = $true) | ((breln1 @ X1 @ X2) != $true) | ((breln1 @ X1 @ X0) != $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_50])],[avatar_definition])).
% 38.40/6.70 thf(f1402,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_27 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1401,f497])).
% 38.40/6.70 thf(f1401,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_27 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1400,f412])).
% 38.40/6.70 thf(f1400,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33))) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_27 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1399,f1377])).
% 38.40/6.70 thf(f1377,plain,(
% 38.40/6.70 ((subset @ sF31 @ sF33) != $true) | (~spl35_22 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1376,f131])).
% 38.40/6.70 thf(f131,plain,(
% 38.40/6.70 (sF31 != sF33)),
% 38.40/6.70 inference(definition_folding,[status(thm)],[f114,f130,f129,f128,f127])).
% 38.40/6.70 thf(f114,plain,(
% 38.40/6.70 ((binunion @ sK20 @ sK22) != (binunion @ sK22 @ sK20))),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f69])).
% 38.40/6.70 thf(f69,plain,(
% 38.40/6.70 (breln1unionE = $true) & (($true = (breln1 @ sK21 @ sK20)) & (((binunion @ sK20 @ sK22) != (binunion @ sK22 @ sK20)) & ((breln1 @ sK21 @ sK22) = $true))) & (breln1unionIL = $true) & (breln1unionIR = $true) & (subbreln1 = $true) & (breln1unionprop = $true) & (setextsub = $true)),
% 38.40/6.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f31,f68,f67])).
% 38.40/6.70 thf(f67,plain,(
% 38.40/6.70 ? [X0 : $i,X1 : $i] : (((breln1 @ X1 @ X0) = $true) & ? [X2 : $i] : (((binunion @ X0 @ X2) != (binunion @ X2 @ X0)) & ((breln1 @ X1 @ X2) = $true))) => (($true = (breln1 @ sK21 @ sK20)) & ? [X2 : $i] : (((binunion @ sK20 @ X2) != (binunion @ X2 @ sK20)) & ((breln1 @ sK21 @ X2) = $true)))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f68,plain,(
% 38.40/6.70 ? [X2 : $i] : (((binunion @ sK20 @ X2) != (binunion @ X2 @ sK20)) & ((breln1 @ sK21 @ X2) = $true)) => (((binunion @ sK20 @ sK22) != (binunion @ sK22 @ sK20)) & ((breln1 @ sK21 @ sK22) = $true))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f31,plain,(
% 38.40/6.70 (breln1unionE = $true) & ? [X0 : $i,X1 : $i] : (((breln1 @ X1 @ X0) = $true) & ? [X2 : $i] : (((binunion @ X0 @ X2) != (binunion @ X2 @ X0)) & ((breln1 @ X1 @ X2) = $true))) & (breln1unionIL = $true) & (breln1unionIR = $true) & (subbreln1 = $true) & (breln1unionprop = $true) & (setextsub = $true)),
% 38.40/6.70 inference(flattening,[status(thm)],[f30])).
% 38.40/6.70 thf(f30,plain,(
% 38.40/6.70 (((((? [X0 : $i,X1 : $i] : (((breln1 @ X1 @ X0) = $true) & ? [X2 : $i] : (((binunion @ X0 @ X2) != (binunion @ X2 @ X0)) & ((breln1 @ X1 @ X2) = $true))) & (breln1unionE = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (subbreln1 = $true)) & (setextsub = $true)),
% 38.40/6.70 inference(ennf_transformation,[status(thm)],[f23])).
% 38.40/6.70 thf(f23,plain,(
% 38.40/6.70 ~((setextsub = $true) => ((subbreln1 = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionE = $true) => ! [X1 : $i,X0 : $i] : (((breln1 @ X1 @ X0) = $true) => ! [X2 : $i] : (((breln1 @ X1 @ X2) = $true) => ((binunion @ X0 @ X2) = (binunion @ X2 @ X0))))))))))),
% 38.40/6.70 inference(fool_elimination,[status(thm)],[f22])).
% 38.40/6.70 thf(f22,plain,(
% 38.40/6.70 ~(setextsub => (subbreln1 => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionE => ! [X0 : $i,X1 : $i] : ((breln1 @ X1 @ X0) => ! [X2 : $i] : ((breln1 @ X1 @ X2) => ((binunion @ X0 @ X2) = (binunion @ X2 @ X0))))))))))),
% 38.40/6.70 inference(rectify,[status(thm)],[f8])).
% 38.40/6.70 thf(f8,negated_conjecture,(
% 38.40/6.70 ~(setextsub => (subbreln1 => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionE => ! [X2 : $i,X0 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((breln1 @ X0 @ X3) => ((binunion @ X2 @ X3) = (binunion @ X3 @ X2))))))))))),
% 38.40/6.70 inference(negated_conjecture,[status(cth)],[f7])).
% 38.40/6.70 thf(f7,conjecture,(
% 38.40/6.70 setextsub => (subbreln1 => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionE => ! [X2 : $i,X0 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((breln1 @ X0 @ X3) => ((binunion @ X2 @ X3) = (binunion @ X3 @ X2)))))))))),
% 38.40/6.70 file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionCommutes)).
% 38.40/6.70 thf(f1376,plain,(
% 38.40/6.70 ((subset @ sF31 @ sF33) != $true) | (sF31 = sF33) | (~spl35_22 | ~spl35_82)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f1375])).
% 38.40/6.70 thf(f1375,plain,(
% 38.40/6.70 ($true != $true) | ((subset @ sF31 @ sF33) != $true) | (sF31 = sF33) | (~spl35_22 | ~spl35_82)),
% 38.40/6.70 inference(superposition,[status(thm)],[f235,f1363])).
% 38.40/6.70 thf(f1363,plain,(
% 38.40/6.70 ((subset @ sF33 @ sF31) = $true) | ~spl35_82),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f1361])).
% 38.40/6.70 thf(f235,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((subset @ X1 @ X0) != $true) | (X0 = X1) | ((subset @ X0 @ X1) != $true)) ) | ~spl35_22),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f234])).
% 38.40/6.70 thf(f1399,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sK22) != $true) | ((subset @ sF31 @ sF33) = $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_27 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f1398])).
% 38.40/6.70 thf(f1398,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true != $true) | ((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((subset @ sF31 @ sF33) = $true) | ($true != (breln1 @ X0 @ sF33))) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_27 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(superposition,[status(thm)],[f1397,f257])).
% 38.40/6.70 thf(f1397,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1396,f412])).
% 38.40/6.70 thf(f1396,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK20) != $true) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0))) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1395,f497])).
% 38.40/6.70 thf(f1395,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sF31) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1394,f1377])).
% 38.40/6.70 thf(f1394,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true != (breln1 @ X0 @ sF33)) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((subset @ sF31 @ sF33) = $true) | ((breln1 @ X0 @ sK22) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f1393])).
% 38.40/6.70 thf(f1393,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sK22) != $true) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ($true != $true) | ((subset @ sF31 @ sF33) = $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(duplicate_literal_removal,[status(thm)],[f1392])).
% 38.40/6.70 thf(f1392,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33)) | ($true != $true) | ((breln1 @ X0 @ sK22) != $true) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ((subset @ sF31 @ sF33) = $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK20) != $true) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(superposition,[status(thm)],[f1391,f279])).
% 38.40/6.70 thf(f1391,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1)) | ((breln1 @ X0 @ sK22) != $true) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X1 @ sK22) != $true) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1390,f412])).
% 38.40/6.70 thf(f1390,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK20) != $true) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X0 @ sK22) != $true) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ((breln1 @ X1 @ sK22) != $true) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1))) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_52 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1389,f497])).
% 38.40/6.70 thf(f1389,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X1 @ sK22) != $true) | ((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33)) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1)) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ($true != (breln1 @ X1 @ sK20)) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ((breln1 @ X0 @ sF31) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1388,f1377])).
% 38.40/6.70 thf(f1388,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((subset @ sF31 @ sF33) = $true) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ((breln1 @ X0 @ sK22) != $true) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sF31) != $true) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X1 @ sK22) != $true) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1)) | ($true != (breln1 @ X0 @ sF33))) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_82)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f1387])).
% 38.40/6.70 thf(f1387,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((breln1 @ X1 @ sK22) != $true) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1)) | ($true != $true) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ($true != (breln1 @ X1 @ sK20)) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sK22) != $true) | ((subset @ sF31 @ sF33) = $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_82)),
% 38.40/6.70 inference(duplicate_literal_removal,[status(thm)],[f1386])).
% 38.40/6.70 thf(f1386,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (($true != (breln1 @ X1 @ sK20)) | ($true != (breln1 @ X0 @ sF33)) | ($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sF31) != $true) | ($true != $true) | ((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1)) | ((breln1 @ X1 @ sK22) != $true) | ($true != (in @ (sK0 @ sF33 @ X0 @ sF31) @ X0)) | ((subset @ sF31 @ sF33) = $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_31 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_82)),
% 38.40/6.70 inference(superposition,[status(thm)],[f1385,f279])).
% 38.40/6.70 thf(f1385,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X2)) | ($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X1 @ sK22) != $true) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X2) != $true) | ((breln1 @ X2 @ sK22) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X0 @ sF31) != $true) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1)) | ($true != (breln1 @ X1 @ sK20))) ) | (~spl35_21 | ~spl35_22 | ~spl35_23 | ~spl35_35 | ~spl35_44 | ~spl35_50 | ~spl35_82)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1384,f1377])).
% 38.40/6.70 thf(f1384,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X2)) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ((breln1 @ X0 @ sF31) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1)) | ((subset @ sF31 @ sF33) = $true) | ((breln1 @ X1 @ sK22) != $true) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X2) != $true) | ($true != (breln1 @ X2 @ sK20))) ) | (~spl35_21 | ~spl35_23 | ~spl35_35 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f1383])).
% 38.40/6.70 thf(f1383,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1)) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X2)) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X2) != $true) | ((breln1 @ X2 @ sK22) != $true) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ((breln1 @ X1 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33)) | ($true != $true) | ((breln1 @ X0 @ sF31) != $true) | ($true != (breln1 @ X1 @ sK20)) | ($true != (breln1 @ X2 @ sK20)) | ((subset @ sF31 @ sF33) = $true)) ) | (~spl35_21 | ~spl35_23 | ~spl35_35 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(duplicate_literal_removal,[status(thm)],[f1380])).
% 38.40/6.70 thf(f1380,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ sF31 @ sF33) = $true) | ((breln1 @ X1 @ sK22) != $true) | ((breln1 @ X0 @ sF31) != $true) | ($true != (breln1 @ X0 @ sF33)) | ($true != (breln1 @ X2 @ sK20)) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X1) != $true) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X1)) | ((in @ (sK0 @ sF33 @ X0 @ sF31) @ X2) != $true) | ($true != (in @ (sK1 @ sF33 @ X0 @ sF31) @ X2)) | ($true != (breln1 @ X0 @ sF33)) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ((breln1 @ X0 @ sF31) != $true) | ($true != $true) | ((subset @ sF31 @ sF33) = $true)) ) | (~spl35_21 | ~spl35_23 | ~spl35_35 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(superposition,[status(thm)],[f920,f239])).
% 38.40/6.70 thf(f239,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X0) = $true) | ((breln1 @ X1 @ X0) != $true) | ((subset @ X0 @ X2) = $true) | ((breln1 @ X1 @ X2) != $true)) ) | ~spl35_23),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f238])).
% 38.40/6.70 thf(f920,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ (sK0 @ sF33 @ X0 @ X1) @ (sK1 @ sF33 @ X0 @ X1)) @ sF31) != $true) | ((breln1 @ X2 @ sK22) != $true) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X2) != $true) | ((breln1 @ X3 @ sK20) != $true) | ((breln1 @ X3 @ sK22) != $true) | ($true = (subset @ X1 @ sF33)) | ($true != (breln1 @ X0 @ sF33)) | ($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X0 @ X1) != $true) | ((in @ (sK0 @ sF33 @ X0 @ X1) @ X3) != $true) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X3) != $true) | ((in @ (sK0 @ sF33 @ X0 @ X1) @ X2) != $true)) ) | (~spl35_21 | ~spl35_35 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f918,f678])).
% 38.40/6.70 thf(f678,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ (kpair @ (sK0 @ sF33 @ X0 @ X1) @ (sK1 @ sF33 @ X0 @ X1)) @ sK20)) | ((in @ (sK0 @ sF33 @ X0 @ X1) @ X2) != $true) | ($true != (breln1 @ X2 @ sK20)) | ($true = (subset @ X1 @ sF33)) | ((breln1 @ X0 @ X1) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X2) != $true) | ((breln1 @ X2 @ sK22) != $true)) ) | (~spl35_35 | ~spl35_50)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f677])).
% 38.40/6.70 thf(f677,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (sK0 @ sF33 @ X0 @ X1) @ X2) != $true) | ($true != (breln1 @ X0 @ sF33)) | ($true != $true) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X2) != $true) | ((breln1 @ X2 @ sK22) != $true) | ($true != (breln1 @ X2 @ sK20)) | ($true != (in @ (kpair @ (sK0 @ sF33 @ X0 @ X1) @ (sK1 @ sF33 @ X0 @ X1)) @ sK20)) | ($true = (subset @ X1 @ sF33)) | ((breln1 @ X0 @ X1) != $true)) ) | (~spl35_35 | ~spl35_50)),
% 38.40/6.70 inference(superposition,[status(thm)],[f374,f674])).
% 38.40/6.70 thf(f674,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ (kpair @ X0 @ X1) @ sF33)) | ((in @ X1 @ X2) != $true) | ((in @ X0 @ X2) != $true) | ((breln1 @ X2 @ sK22) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((in @ (kpair @ X0 @ X1) @ sK20) != $true)) ) | ~spl35_35),
% 38.40/6.70 inference(superposition,[status(thm)],[f666,f130])).
% 38.40/6.70 thf(f666,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X1 @ X2) @ (sF32 @ X0)) = $true) | ((in @ X1 @ X3) != $true) | ((breln1 @ X3 @ sK22) != $true) | ((in @ (kpair @ X1 @ X2) @ X0) != $true) | ($true != (breln1 @ X3 @ X0)) | ((in @ X2 @ X3) != $true)) ) | ~spl35_35),
% 38.40/6.70 inference(superposition,[status(thm)],[f299,f394])).
% 38.40/6.70 thf(f299,plain,(
% 38.40/6.70 ( ! [X8 : $i,X6 : $i,X9 : $i,X7 : $i,X5 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) = $true) | ($true != (in @ X8 @ X6)) | ((breln1 @ X6 @ X5) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) != $true) | ($true != (breln1 @ X6 @ X7)) | ((in @ X9 @ X6) != $true)) ) | ~spl35_35),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f298])).
% 38.40/6.70 thf(f374,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X2)) | ((subset @ X0 @ X2) = $true) | ((breln1 @ X1 @ X0) != $true) | ((breln1 @ X1 @ X2) != $true)) ) | ~spl35_50),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f373])).
% 38.40/6.70 thf(f918,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((breln1 @ X0 @ X1) != $true) | ((in @ (kpair @ (sK0 @ sF33 @ X0 @ X1) @ (sK1 @ sF33 @ X0 @ X1)) @ sF31) != $true) | ($true = (subset @ X1 @ sF33)) | ($true = (in @ (kpair @ (sK0 @ sF33 @ X0 @ X1) @ (sK1 @ sF33 @ X0 @ X1)) @ sK20)) | ((in @ (sK0 @ sF33 @ X0 @ X1) @ X3) != $true) | ((breln1 @ X3 @ sK20) != $true) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X3) != $true) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X2) != $true) | ((breln1 @ X2 @ sK22) != $true) | ((breln1 @ X3 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK0 @ sF33 @ X0 @ X1) @ X2) != $true) | ($true != (breln1 @ X2 @ sK20))) ) | (~spl35_21 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f914])).
% 38.40/6.70 thf(f914,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ X1) != $true) | ((breln1 @ X3 @ sK22) != $true) | ((breln1 @ X2 @ sK22) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X2) != $true) | ($true != $true) | ((in @ (sK0 @ sF33 @ X0 @ X1) @ X3) != $true) | ($true = (subset @ X1 @ sF33)) | ((breln1 @ X3 @ sK20) != $true) | ((in @ (sK0 @ sF33 @ X0 @ X1) @ X2) != $true) | ($true = (in @ (kpair @ (sK0 @ sF33 @ X0 @ X1) @ (sK1 @ sF33 @ X0 @ X1)) @ sK20)) | ((in @ (kpair @ (sK0 @ sF33 @ X0 @ X1) @ (sK1 @ sF33 @ X0 @ X1)) @ sF31) != $true) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X3) != $true)) ) | (~spl35_21 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(superposition,[status(thm)],[f692,f699])).
% 38.40/6.70 thf(f699,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X0 @ X1) @ sK22) = $true) | ($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ((in @ X0 @ X2) != $true) | ((in @ X1 @ X2) != $true) | ((in @ (kpair @ X0 @ X1) @ sK20) = $true) | ((in @ (kpair @ X0 @ X1) @ sF31) != $true)) ) | ~spl35_21),
% 38.40/6.70 inference(superposition,[status(thm)],[f693,f128])).
% 38.40/6.70 thf(f693,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X1 @ X2) @ (sF30 @ X0)) != $true) | ((in @ (kpair @ X1 @ X2) @ sK20) = $true) | ((breln1 @ X3 @ sK20) != $true) | ($true != (breln1 @ X3 @ X0)) | ((in @ (kpair @ X1 @ X2) @ X0) = $true) | ((in @ X1 @ X3) != $true) | ((in @ X2 @ X3) != $true)) ) | ~spl35_21),
% 38.40/6.70 inference(superposition,[status(thm)],[f231,f393])).
% 38.40/6.70 thf(f231,plain,(
% 38.40/6.70 ( ! [X8 : $i,X6 : $i,X9 : $i,X7 : $i,X5 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) != $true) | ((in @ X9 @ X6) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) = $true) | ($true != (in @ X8 @ X6)) | ((in @ (kpair @ X8 @ X9) @ X5) = $true) | ($true != (breln1 @ X6 @ X7)) | ((breln1 @ X6 @ X5) != $true)) ) | ~spl35_21),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f230])).
% 38.40/6.70 thf(f692,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ (sK0 @ sF33 @ X0 @ X1) @ (sK1 @ sF33 @ X0 @ X1)) @ sK22) != $true) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X2) != $true) | ($true != (breln1 @ X0 @ sF33)) | ($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ($true = (subset @ X1 @ sF33)) | ((in @ (sK0 @ sF33 @ X0 @ X1) @ X2) != $true) | ((breln1 @ X0 @ X1) != $true)) ) | (~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f691])).
% 38.40/6.70 thf(f691,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ($true = (subset @ X1 @ sF33)) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK1 @ sF33 @ X0 @ X1) @ X2) != $true) | ((in @ (sK0 @ sF33 @ X0 @ X1) @ X2) != $true) | ($true != $true) | ((breln1 @ X0 @ X1) != $true) | ((in @ (kpair @ (sK0 @ sF33 @ X0 @ X1) @ (sK1 @ sF33 @ X0 @ X1)) @ sK22) != $true)) ) | (~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(superposition,[status(thm)],[f374,f688])).
% 38.40/6.70 thf(f688,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ (kpair @ X0 @ X1) @ sF33)) | ((in @ (kpair @ X0 @ X1) @ sK22) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ((in @ X0 @ X2) != $true) | ((in @ X1 @ X2) != $true)) ) | ~spl35_44),
% 38.40/6.70 inference(superposition,[status(thm)],[f680,f130])).
% 38.40/6.70 thf(f680,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X1 @ X2) @ (sF32 @ X0)) = $true) | ((in @ X1 @ X3) != $true) | ($true != (breln1 @ X3 @ X0)) | ((in @ (kpair @ X1 @ X2) @ sK22) != $true) | ((in @ X2 @ X3) != $true) | ((breln1 @ X3 @ sK22) != $true)) ) | ~spl35_44),
% 38.40/6.70 inference(superposition,[status(thm)],[f345,f394])).
% 38.40/6.70 thf(f345,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ X4 @ X0) != $true) | ((in @ (kpair @ X3 @ X4) @ X1) != $true) | ((breln1 @ X0 @ X1) != $true) | ((in @ X3 @ X0) != $true) | ((breln1 @ X0 @ X2) != $true)) ) | ~spl35_44),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f344])).
% 38.40/6.70 thf(f1374,plain,(
% 38.40/6.70 spl35_83 | spl35_82 | ~spl35_27 | ~spl35_31 | ~spl35_52 | ~spl35_81),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f1370,f1358,f383,f278,f256,f1361,f1372])).
% 38.40/6.70 thf(f1358,definition,(
% 38.40/6.70 spl35_81 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (sK0 @ sF31 @ X0 @ sF33) @ X2) != $true) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != (breln1 @ X0 @ sF33)) | ($true != (in @ (sK1 @ sF31 @ X0 @ sF33) @ X2)) | ((breln1 @ X1 @ sK22) != $true) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((breln1 @ X0 @ sF31) != $true))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_81])],[avatar_definition])).
% 38.40/6.70 thf(f1370,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X1 @ sK20)) | ((subset @ sF33 @ sF31) = $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X1 @ sK22) != $true)) ) | (~spl35_27 | ~spl35_31 | ~spl35_52 | ~spl35_81)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1369,f497])).
% 38.40/6.70 thf(f1369,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (($true != (breln1 @ X0 @ sF33)) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((subset @ sF33 @ sF31) = $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X1 @ sK22) != $true) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X0 @ sK22) != $true)) ) | (~spl35_27 | ~spl35_31 | ~spl35_52 | ~spl35_81)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1368,f412])).
% 38.40/6.70 thf(f1368,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != (breln1 @ X1 @ sK20)) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((breln1 @ X1 @ sK22) != $true) | ((subset @ sF33 @ sF31) = $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_27 | ~spl35_31 | ~spl35_81)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f1367,f257])).
% 38.40/6.70 thf(f1367,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((in @ (sK0 @ sF31 @ X0 @ sF33) @ X0) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((breln1 @ X0 @ sK22) != $true) | ((subset @ sF33 @ sF31) = $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != (breln1 @ X0 @ sF33)) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X1 @ sK22) != $true)) ) | (~spl35_31 | ~spl35_81)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f1366])).
% 38.40/6.70 thf(f1366,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((breln1 @ X1 @ sK22) != $true) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((subset @ sF33 @ sF31) = $true) | ((breln1 @ X0 @ sF31) != $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X0) != $true) | ((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X1 @ sK20)) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != $true) | ((breln1 @ X0 @ sK20) != $true)) ) | (~spl35_31 | ~spl35_81)),
% 38.40/6.70 inference(duplicate_literal_removal,[status(thm)],[f1365])).
% 38.40/6.70 thf(f1365,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : (((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != $true) | ($true != (breln1 @ X0 @ sF33)) | ((breln1 @ X0 @ sK22) != $true) | ($true != (breln1 @ X1 @ sK20)) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((subset @ sF33 @ sF31) = $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X1 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X0) != $true)) ) | (~spl35_31 | ~spl35_81)),
% 38.40/6.70 inference(superposition,[status(thm)],[f1359,f279])).
% 38.40/6.70 thf(f1359,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ (sK1 @ sF31 @ X0 @ sF33) @ X2)) | ($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X2 @ sK22) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X1 @ sK22) != $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X2) != $true) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true)) ) | ~spl35_81),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f1358])).
% 38.40/6.70 thf(f1364,plain,(
% 38.40/6.70 spl35_81 | spl35_82 | ~spl35_21 | ~spl35_23 | ~spl35_35 | ~spl35_44 | ~spl35_50),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f1354,f373,f344,f298,f238,f230,f1361,f1358])).
% 38.40/6.70 thf(f1354,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (sK0 @ sF31 @ X0 @ sF33) @ X2) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((subset @ sF33 @ sF31) = $true) | ((breln1 @ X2 @ sK22) != $true) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X1 @ sK22) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ sF33) @ X2)) | ($true != (breln1 @ X0 @ sF33)) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true)) ) | (~spl35_21 | ~spl35_23 | ~spl35_35 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f1353])).
% 38.40/6.70 thf(f1353,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != (breln1 @ X0 @ sF33)) | ((subset @ sF33 @ sF31) = $true) | ($true != $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X1 @ sK22) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ sF33) @ X2)) | ($true != (breln1 @ X1 @ sK20)) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X2) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true) | ((breln1 @ X2 @ sK22) != $true)) ) | (~spl35_21 | ~spl35_23 | ~spl35_35 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(duplicate_literal_removal,[status(thm)],[f1352])).
% 38.40/6.70 thf(f1352,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ sF33 @ sF31) = $true) | ($true != (breln1 @ X1 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ((breln1 @ X0 @ sF31) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ sF33) @ X2)) | ((breln1 @ X0 @ sF31) != $true) | ((in @ (sK1 @ sF31 @ X0 @ sF33) @ X1) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X2) != $true) | ($true != (breln1 @ X0 @ sF33)) | ($true != $true) | ($true != (breln1 @ X0 @ sF33)) | ((subset @ sF33 @ sF31) = $true) | ((breln1 @ X1 @ sK22) != $true) | ((in @ (sK0 @ sF31 @ X0 @ sF33) @ X1) != $true)) ) | (~spl35_21 | ~spl35_23 | ~spl35_35 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(superposition,[status(thm)],[f720,f239])).
% 38.40/6.70 thf(f720,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ (sK0 @ sF31 @ X0 @ X1) @ (sK1 @ sF31 @ X0 @ X1)) @ sF33) != $true) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X2) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X2)) | ((subset @ X1 @ sF31) = $true) | ($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X3)) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X3) != $true) | ((breln1 @ X0 @ X1) != $true) | ((breln1 @ X3 @ sK22) != $true) | ((breln1 @ X3 @ sK20) != $true) | ((breln1 @ X0 @ sF31) != $true)) ) | (~spl35_21 | ~spl35_35 | ~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f718,f687])).
% 38.40/6.70 thf(f687,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ (sK0 @ sF31 @ X0 @ X1) @ (sK1 @ sF31 @ X0 @ X1)) @ sK20) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X2 @ sK22) != $true) | ((subset @ X1 @ sF31) = $true) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X2) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ X1) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X2))) ) | (~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f686])).
% 38.40/6.70 thf(f686,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X2)) | ((subset @ X1 @ sF31) = $true) | ((in @ (kpair @ (sK0 @ sF31 @ X0 @ X1) @ (sK1 @ sF31 @ X0 @ X1)) @ sK20) != $true) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X2) != $true) | ($true != $true) | ((breln1 @ X2 @ sK22) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((breln1 @ X0 @ X1) != $true) | ((breln1 @ X0 @ sF31) != $true)) ) | (~spl35_44 | ~spl35_50)),
% 38.40/6.70 inference(superposition,[status(thm)],[f374,f683])).
% 38.40/6.70 thf(f683,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X0 @ X1) @ sF31) = $true) | ((in @ X1 @ X2) != $true) | ((in @ (kpair @ X0 @ X1) @ sK20) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((in @ X0 @ X2) != $true) | ((breln1 @ X2 @ sK22) != $true)) ) | ~spl35_44),
% 38.40/6.70 inference(superposition,[status(thm)],[f679,f128])).
% 38.40/6.70 thf(f679,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X1 @ X2) @ (sF30 @ X0)) = $true) | ((in @ X2 @ X3) != $true) | ((in @ (kpair @ X1 @ X2) @ sK20) != $true) | ((in @ X1 @ X3) != $true) | ((breln1 @ X3 @ sK20) != $true) | ($true != (breln1 @ X3 @ X0))) ) | ~spl35_44),
% 38.40/6.70 inference(superposition,[status(thm)],[f345,f393])).
% 38.40/6.70 thf(f718,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((breln1 @ X3 @ sK20) != $true) | ((breln1 @ X0 @ X1) != $true) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X3) != $true) | ((subset @ X1 @ sF31) = $true) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X2) != $true) | ((breln1 @ X2 @ sK22) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X2)) | ($true != (breln1 @ X2 @ sK20)) | ((in @ (kpair @ (sK0 @ sF31 @ X0 @ X1) @ (sK1 @ sF31 @ X0 @ X1)) @ sF33) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X3)) | ((breln1 @ X0 @ sF31) != $true) | ((in @ (kpair @ (sK0 @ sF31 @ X0 @ X1) @ (sK1 @ sF31 @ X0 @ X1)) @ sK20) = $true) | ((breln1 @ X3 @ sK22) != $true)) ) | (~spl35_21 | ~spl35_35 | ~spl35_50)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f713])).
% 38.40/6.70 thf(f713,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X2)) | ((in @ (kpair @ (sK0 @ sF31 @ X0 @ X1) @ (sK1 @ sF31 @ X0 @ X1)) @ sF33) != $true) | ((in @ (kpair @ (sK0 @ sF31 @ X0 @ X1) @ (sK1 @ sF31 @ X0 @ X1)) @ sK20) = $true) | ((breln1 @ X2 @ sK22) != $true) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X3) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((breln1 @ X0 @ X1) != $true) | ((breln1 @ X3 @ sK20) != $true) | ((subset @ X1 @ sF31) = $true) | ((breln1 @ X3 @ sK22) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X2) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X3))) ) | (~spl35_21 | ~spl35_35 | ~spl35_50)),
% 38.40/6.70 inference(superposition,[status(thm)],[f673,f706])).
% 38.40/6.70 thf(f706,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X0 @ X1) @ sK22) = $true) | ((breln1 @ X2 @ sK22) != $true) | ((in @ X0 @ X2) != $true) | ((in @ X1 @ X2) != $true) | ($true != (breln1 @ X2 @ sK20)) | ($true != (in @ (kpair @ X0 @ X1) @ sF33)) | ((in @ (kpair @ X0 @ X1) @ sK20) = $true)) ) | ~spl35_21),
% 38.40/6.70 inference(superposition,[status(thm)],[f694,f130])).
% 38.40/6.70 thf(f694,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X1 @ X2) @ (sF32 @ X0)) != $true) | ((in @ (kpair @ X1 @ X2) @ X0) = $true) | ((in @ X1 @ X3) != $true) | ((in @ (kpair @ X1 @ X2) @ sK22) = $true) | ($true != (breln1 @ X3 @ X0)) | ((breln1 @ X3 @ sK22) != $true) | ((in @ X2 @ X3) != $true)) ) | ~spl35_21),
% 38.40/6.70 inference(superposition,[status(thm)],[f231,f394])).
% 38.40/6.70 thf(f673,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ (sK0 @ sF31 @ X0 @ X1) @ (sK1 @ sF31 @ X0 @ X1)) @ sK22) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X2)) | ((breln1 @ X2 @ sK22) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((subset @ X1 @ sF31) = $true) | ((breln1 @ X0 @ X1) != $true) | ((breln1 @ X0 @ sF31) != $true) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X2) != $true)) ) | (~spl35_35 | ~spl35_50)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f672])).
% 38.40/6.70 thf(f672,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((breln1 @ X0 @ sF31) != $true) | ((in @ (sK0 @ sF31 @ X0 @ X1) @ X2) != $true) | ($true != (in @ (sK1 @ sF31 @ X0 @ X1) @ X2)) | ((breln1 @ X2 @ sK22) != $true) | ((subset @ X1 @ sF31) = $true) | ((breln1 @ X0 @ X1) != $true) | ($true != (breln1 @ X2 @ sK20)) | ($true != $true) | ((in @ (kpair @ (sK0 @ sF31 @ X0 @ X1) @ (sK1 @ sF31 @ X0 @ X1)) @ sK22) != $true)) ) | (~spl35_35 | ~spl35_50)),
% 38.40/6.70 inference(superposition,[status(thm)],[f374,f669])).
% 38.40/6.70 thf(f669,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X0 @ X1) @ sF31) = $true) | ((breln1 @ X2 @ sK22) != $true) | ((in @ (kpair @ X0 @ X1) @ sK22) != $true) | ((in @ X0 @ X2) != $true) | ($true != (breln1 @ X2 @ sK20)) | ((in @ X1 @ X2) != $true)) ) | ~spl35_35),
% 38.40/6.70 inference(superposition,[status(thm)],[f665,f128])).
% 38.40/6.70 thf(f665,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ (kpair @ X1 @ X2) @ (sF30 @ X0)) = $true) | ((breln1 @ X3 @ sK20) != $true) | ($true != (breln1 @ X3 @ X0)) | ((in @ X2 @ X3) != $true) | ((in @ X1 @ X3) != $true) | ((in @ (kpair @ X1 @ X2) @ X0) != $true)) ) | ~spl35_35),
% 38.40/6.70 inference(superposition,[status(thm)],[f299,f393])).
% 38.40/6.70 thf(f863,plain,(
% 38.40/6.70 spl35_4 | ~spl35_54 | ~spl35_67),
% 38.40/6.70 inference(avatar_contradiction_clause,[status(thm)],[f862])).
% 38.40/6.70 thf(f862,plain,(
% 38.40/6.70 $false | (spl35_4 | ~spl35_54 | ~spl35_67)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f861,f153])).
% 38.40/6.70 thf(f153,plain,(
% 38.40/6.70 ($false != (sF28 @ sK22)) | spl35_4),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f152])).
% 38.40/6.70 thf(f152,definition,(
% 38.40/6.70 spl35_4 <=> ($false = (sF28 @ sK22))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_4])],[avatar_definition])).
% 38.40/6.70 thf(f861,plain,(
% 38.40/6.70 ($false = (sF28 @ sK22)) | (~spl35_54 | ~spl35_67)),
% 38.40/6.70 inference(subsumption_resolution,[status(thm)],[f857,f422])).
% 38.40/6.70 thf(f422,plain,(
% 38.40/6.70 ($true = (breln1 @ sK21 @ sK20)) | ~spl35_54),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f421])).
% 38.40/6.70 thf(f421,definition,(
% 38.40/6.70 spl35_54 <=> ($true = (breln1 @ sK21 @ sK20))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_54])],[avatar_definition])).
% 38.40/6.70 thf(f857,plain,(
% 38.40/6.70 ($true != (breln1 @ sK21 @ sK20)) | ($false = (sF28 @ sK22)) | ~spl35_67),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f856])).
% 38.40/6.70 thf(f856,plain,(
% 38.40/6.70 ($false = (sF28 @ sK22)) | ($true != $true) | ($true != (breln1 @ sK21 @ sK20)) | ~spl35_67),
% 38.40/6.70 inference(superposition,[status(thm)],[f758,f391])).
% 38.40/6.70 thf(f391,plain,(
% 38.40/6.70 ( ! [X1 : $i] : (((breln1 @ sK21 @ X1) = $true) | ($false = (sF28 @ X1))) )),
% 38.40/6.70 inference(binary_proxy_clausification,[status(thm)],[f390])).
% 38.40/6.70 thf(f390,plain,(
% 38.40/6.70 ( ! [X1 : $i] : (((breln1 @ sK21 @ X1) = (sF28 @ X1))) )),
% 38.40/6.70 inference(argument_congruence,[status(thm)],[f124])).
% 38.40/6.70 thf(f124,definition,(
% 38.40/6.70 ((breln1 @ sK21) = sF28)),
% 38.40/6.70 introduced(definition,[],[function_definition])).
% 38.40/6.70 thf(f758,plain,(
% 38.40/6.70 ( ! [X0 : $i] : (((breln1 @ X0 @ sK22) != $true) | ((breln1 @ X0 @ sK20) != $true)) ) | ~spl35_67),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f757])).
% 38.40/6.70 thf(f527,plain,(
% 38.40/6.70 ~spl35_8 | ~spl35_9),
% 38.40/6.70 inference(avatar_contradiction_clause,[status(thm)],[f526])).
% 38.40/6.70 thf(f526,plain,(
% 38.40/6.70 $false | (~spl35_8 | ~spl35_9)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f525])).
% 38.40/6.70 thf(f525,plain,(
% 38.40/6.70 ($false = $true) | (~spl35_8 | ~spl35_9)),
% 38.40/6.70 inference(backward_demodulation,[status(thm)],[f177,f172])).
% 38.40/6.70 thf(f172,plain,(
% 38.40/6.70 ($false = sF29) | ~spl35_8),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f170])).
% 38.40/6.70 thf(f170,definition,(
% 38.40/6.70 spl35_8 <=> ($false = sF29)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_8])],[avatar_definition])).
% 38.40/6.70 thf(f177,plain,(
% 38.40/6.70 ($true = sF29) | ~spl35_9),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f175])).
% 38.40/6.70 thf(f175,definition,(
% 38.40/6.70 spl35_9 <=> ($true = sF29)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_9])],[avatar_definition])).
% 38.40/6.70 thf(f519,plain,(
% 38.40/6.70 ~spl35_4 | ~spl35_6),
% 38.40/6.70 inference(avatar_contradiction_clause,[status(thm)],[f518])).
% 38.40/6.70 thf(f518,plain,(
% 38.40/6.70 $false | (~spl35_4 | ~spl35_6)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f517])).
% 38.40/6.70 thf(f517,plain,(
% 38.40/6.70 ($false = $true) | (~spl35_4 | ~spl35_6)),
% 38.40/6.70 inference(backward_demodulation,[status(thm)],[f163,f154])).
% 38.40/6.70 thf(f154,plain,(
% 38.40/6.70 ($false = (sF28 @ sK22)) | ~spl35_4),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f152])).
% 38.40/6.70 thf(f163,plain,(
% 38.40/6.70 ((sF28 @ sK22) = $true) | ~spl35_6),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f161])).
% 38.40/6.70 thf(f161,definition,(
% 38.40/6.70 spl35_6 <=> ((sF28 @ sK22) = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_6])],[avatar_definition])).
% 38.40/6.70 thf(f443,plain,(
% 38.40/6.70 ~spl35_7 | ~spl35_10),
% 38.40/6.70 inference(avatar_contradiction_clause,[status(thm)],[f442])).
% 38.40/6.70 thf(f442,plain,(
% 38.40/6.70 $false | (~spl35_7 | ~spl35_10)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f441])).
% 38.40/6.70 thf(f441,plain,(
% 38.40/6.70 ($false = $true) | (~spl35_7 | ~spl35_10)),
% 38.40/6.70 inference(backward_demodulation,[status(thm)],[f168,f181])).
% 38.40/6.70 thf(f181,plain,(
% 38.40/6.70 ($false = (sF28 @ sK20)) | ~spl35_10),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f179])).
% 38.40/6.70 thf(f179,definition,(
% 38.40/6.70 spl35_10 <=> ($false = (sF28 @ sK20))),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_10])],[avatar_definition])).
% 38.40/6.70 thf(f168,plain,(
% 38.40/6.70 ((sF28 @ sK20) = $true) | ~spl35_7),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f166])).
% 38.40/6.70 thf(f166,definition,(
% 38.40/6.70 spl35_7 <=> ((sF28 @ sK20) = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_7])],[avatar_definition])).
% 38.40/6.70 thf(f440,plain,(
% 38.40/6.70 spl35_10 | spl35_54),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f439,f421,f179])).
% 38.40/6.70 thf(f439,plain,(
% 38.40/6.70 ($false = (sF28 @ sK20)) | spl35_54),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f438])).
% 38.40/6.70 thf(f438,plain,(
% 38.40/6.70 ($true != $true) | ($false = (sF28 @ sK20)) | spl35_54),
% 38.40/6.70 inference(superposition,[status(thm)],[f423,f391])).
% 38.40/6.70 thf(f423,plain,(
% 38.40/6.70 ($true != (breln1 @ sK21 @ sK20)) | spl35_54),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f421])).
% 38.40/6.70 thf(f388,plain,(
% 38.40/6.70 ~spl35_3 | ~spl35_5),
% 38.40/6.70 inference(avatar_contradiction_clause,[status(thm)],[f387])).
% 38.40/6.70 thf(f387,plain,(
% 38.40/6.70 $false | (~spl35_3 | ~spl35_5)),
% 38.40/6.70 inference(trivial_inequality_removal,[status(thm)],[f386])).
% 38.40/6.70 thf(f386,plain,(
% 38.40/6.70 ($false = $true) | (~spl35_3 | ~spl35_5)),
% 38.40/6.70 inference(forward_demodulation,[status(thm)],[f150,f159])).
% 38.40/6.70 thf(f159,plain,(
% 38.40/6.70 (sF34 = $false) | ~spl35_5),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f157])).
% 38.40/6.70 thf(f157,definition,(
% 38.40/6.70 spl35_5 <=> (sF34 = $false)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_5])],[avatar_definition])).
% 38.40/6.70 thf(f150,plain,(
% 38.40/6.70 (sF34 = $true) | ~spl35_3),
% 38.40/6.70 inference(avatar_component_clause,[status(thm)],[f148])).
% 38.40/6.70 thf(f148,definition,(
% 38.40/6.70 spl35_3 <=> (sF34 = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_3])],[avatar_definition])).
% 38.40/6.70 thf(f385,plain,(
% 38.40/6.70 spl35_52 | ~spl35_26),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f107,f251,f383])).
% 38.40/6.70 thf(f251,definition,(
% 38.40/6.70 spl35_26 <=> (breln1unionprop = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_26])],[avatar_definition])).
% 38.40/6.70 thf(f107,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((breln1 @ X0 @ X2) != $true) | ((breln1 @ X0 @ (binunion @ X1 @ X2)) = $true) | (breln1unionprop != $true) | ((breln1 @ X0 @ X1) != $true)) )),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f66])).
% 38.40/6.70 thf(f66,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ((breln1 @ X0 @ (binunion @ X1 @ X2)) = $true)) | ((breln1 @ X0 @ X1) != $true)) | (breln1unionprop != $true)) & ((breln1unionprop = $true) | ((((breln1 @ sK17 @ sK19) = $true) & ($true != (breln1 @ sK17 @ (binunion @ sK18 @ sK19)))) & ((breln1 @ sK17 @ sK18) = $true)))),
% 38.40/6.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f63,f65,f64])).
% 38.40/6.70 thf(f64,plain,(
% 38.40/6.70 ? [X3 : $i,X4 : $i] : (? [X5 : $i] : (((breln1 @ X3 @ X5) = $true) & ((breln1 @ X3 @ (binunion @ X4 @ X5)) != $true)) & ((breln1 @ X3 @ X4) = $true)) => (? [X5 : $i] : (((breln1 @ sK17 @ X5) = $true) & ((breln1 @ sK17 @ (binunion @ sK18 @ X5)) != $true)) & ((breln1 @ sK17 @ sK18) = $true))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f65,plain,(
% 38.40/6.70 ? [X5 : $i] : (((breln1 @ sK17 @ X5) = $true) & ((breln1 @ sK17 @ (binunion @ sK18 @ X5)) != $true)) => (((breln1 @ sK17 @ sK19) = $true) & ($true != (breln1 @ sK17 @ (binunion @ sK18 @ sK19))))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f63,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ((breln1 @ X0 @ (binunion @ X1 @ X2)) = $true)) | ((breln1 @ X0 @ X1) != $true)) | (breln1unionprop != $true)) & ((breln1unionprop = $true) | ? [X3 : $i,X4 : $i] : (? [X5 : $i] : (((breln1 @ X3 @ X5) = $true) & ((breln1 @ X3 @ (binunion @ X4 @ X5)) != $true)) & ((breln1 @ X3 @ X4) = $true)))),
% 38.40/6.70 inference(rectify,[status(thm)],[f62])).
% 38.40/6.70 thf(f62,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ((breln1 @ X0 @ (binunion @ X1 @ X2)) = $true)) | ((breln1 @ X0 @ X1) != $true)) | (breln1unionprop != $true)) & ((breln1unionprop = $true) | ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (((breln1 @ X0 @ X2) = $true) & ((breln1 @ X0 @ (binunion @ X1 @ X2)) != $true)) & ((breln1 @ X0 @ X1) = $true)))),
% 38.40/6.70 inference(nnf_transformation,[status(thm)],[f34])).
% 38.40/6.70 thf(f34,plain,(
% 38.40/6.70 ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ((breln1 @ X0 @ (binunion @ X1 @ X2)) = $true)) | ((breln1 @ X0 @ X1) != $true)) <=> (breln1unionprop = $true)),
% 38.40/6.70 inference(ennf_transformation,[status(thm)],[f19])).
% 38.40/6.70 thf(f19,plain,(
% 38.40/6.70 (breln1unionprop = $true) <=> ! [X1 : $i,X0 : $i] : (((breln1 @ X0 @ X1) = $true) => ! [X2 : $i] : (((breln1 @ X0 @ X2) = $true) => ((breln1 @ X0 @ (binunion @ X1 @ X2)) = $true)))),
% 38.40/6.70 inference(fool_elimination,[status(thm)],[f18])).
% 38.40/6.70 thf(f18,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((breln1 @ X0 @ X2) => (breln1 @ X0 @ (binunion @ X1 @ X2)))) = breln1unionprop)),
% 38.40/6.70 inference(rectify,[status(thm)],[f3])).
% 38.40/6.70 thf(f3,axiom,(
% 38.40/6.70 (! [X0 : $i,X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((breln1 @ X0 @ X3) => (breln1 @ X0 @ (binunion @ X2 @ X3)))) = breln1unionprop)),
% 38.40/6.70 file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionprop)).
% 38.40/6.70 thf(f376,plain,(
% 38.40/6.70 spl35_9),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f126,f175])).
% 38.40/6.70 thf(f126,plain,(
% 38.40/6.70 ($true = sF29)),
% 38.40/6.70 inference(definition_folding,[status(thm)],[f115,f125,f124])).
% 38.40/6.70 thf(f125,definition,(
% 38.40/6.70 ((sF28 @ sK20) = sF29)),
% 38.40/6.70 introduced(definition,[],[function_definition])).
% 38.40/6.70 thf(f115,plain,(
% 38.40/6.70 ($true = (breln1 @ sK21 @ sK20))),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f69])).
% 38.40/6.70 thf(f375,plain,(
% 38.40/6.70 spl35_50 | ~spl35_14),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f81,f197,f373])).
% 38.40/6.70 thf(f197,definition,(
% 38.40/6.70 spl35_14 <=> (subbreln1 = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_14])],[avatar_definition])).
% 38.40/6.70 thf(f81,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X2)) | (subbreln1 != $true) | ((breln1 @ X1 @ X0) != $true) | ((breln1 @ X1 @ X2) != $true) | ((subset @ X0 @ X2) = $true)) )),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f43])).
% 38.40/6.70 thf(f43,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (((breln1 @ X1 @ X0) != $true) | ! [X2 : $i] : ((((in @ (sK0 @ X2 @ X1 @ X0) @ X1) = $true) & (((in @ (sK1 @ X2 @ X1 @ X0) @ X1) = $true) & ((in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X0) = $true) & ($true != (in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X2)))) | ((breln1 @ X1 @ X2) != $true) | ((subset @ X0 @ X2) = $true))) | (subbreln1 != $true)) & ((subbreln1 = $true) | (((breln1 @ sK3 @ sK2) = $true) & (! [X8 : $i] : (($true != (in @ X8 @ sK3)) | ! [X9 : $i] : (((in @ X9 @ sK3) != $true) | ((in @ (kpair @ X8 @ X9) @ sK2) != $true) | ((in @ (kpair @ X8 @ X9) @ sK4) = $true))) & ((breln1 @ sK3 @ sK4) = $true) & ((subset @ sK2 @ sK4) != $true))))),
% 38.40/6.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f38,f42,f41,f40,f39])).
% 38.40/6.70 thf(f39,plain,(
% 38.40/6.70 ! [X0 : $i,X1 : $i,X2 : $i] : (? [X3 : $i] : (($true = (in @ X3 @ X1)) & ? [X4 : $i] : (((in @ X4 @ X1) = $true) & ($true = (in @ (kpair @ X3 @ X4) @ X0)) & ((in @ (kpair @ X3 @ X4) @ X2) != $true))) => (((in @ (sK0 @ X2 @ X1 @ X0) @ X1) = $true) & ? [X4 : $i] : (((in @ X4 @ X1) = $true) & ((in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ X4) @ X0) = $true) & ((in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ X4) @ X2) != $true))))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f40,plain,(
% 38.40/6.70 ! [X0 : $i,X1 : $i,X2 : $i] : (? [X4 : $i] : (((in @ X4 @ X1) = $true) & ((in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ X4) @ X0) = $true) & ((in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ X4) @ X2) != $true)) => (((in @ (sK1 @ X2 @ X1 @ X0) @ X1) = $true) & ((in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X0) = $true) & ($true != (in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X2))))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f41,plain,(
% 38.40/6.70 ? [X5 : $i,X6 : $i] : (((breln1 @ X6 @ X5) = $true) & ? [X7 : $i] : (! [X8 : $i] : (($true != (in @ X8 @ X6)) | ! [X9 : $i] : (((in @ X9 @ X6) != $true) | ((in @ (kpair @ X8 @ X9) @ X5) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) = $true))) & ($true = (breln1 @ X6 @ X7)) & ((subset @ X5 @ X7) != $true))) => (((breln1 @ sK3 @ sK2) = $true) & ? [X7 : $i] : (! [X8 : $i] : (($true != (in @ X8 @ sK3)) | ! [X9 : $i] : (((in @ X9 @ sK3) != $true) | ((in @ (kpair @ X8 @ X9) @ sK2) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) = $true))) & ((breln1 @ sK3 @ X7) = $true) & ((subset @ sK2 @ X7) != $true)))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f42,plain,(
% 38.40/6.70 ? [X7 : $i] : (! [X8 : $i] : (($true != (in @ X8 @ sK3)) | ! [X9 : $i] : (((in @ X9 @ sK3) != $true) | ((in @ (kpair @ X8 @ X9) @ sK2) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) = $true))) & ((breln1 @ sK3 @ X7) = $true) & ((subset @ sK2 @ X7) != $true)) => (! [X8 : $i] : (($true != (in @ X8 @ sK3)) | ! [X9 : $i] : (((in @ X9 @ sK3) != $true) | ((in @ (kpair @ X8 @ X9) @ sK2) != $true) | ((in @ (kpair @ X8 @ X9) @ sK4) = $true))) & ((breln1 @ sK3 @ sK4) = $true) & ((subset @ sK2 @ sK4) != $true))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f38,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (((breln1 @ X1 @ X0) != $true) | ! [X2 : $i] : (? [X3 : $i] : (($true = (in @ X3 @ X1)) & ? [X4 : $i] : (((in @ X4 @ X1) = $true) & ($true = (in @ (kpair @ X3 @ X4) @ X0)) & ((in @ (kpair @ X3 @ X4) @ X2) != $true))) | ((breln1 @ X1 @ X2) != $true) | ((subset @ X0 @ X2) = $true))) | (subbreln1 != $true)) & ((subbreln1 = $true) | ? [X5 : $i,X6 : $i] : (((breln1 @ X6 @ X5) = $true) & ? [X7 : $i] : (! [X8 : $i] : (($true != (in @ X8 @ X6)) | ! [X9 : $i] : (((in @ X9 @ X6) != $true) | ((in @ (kpair @ X8 @ X9) @ X5) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) = $true))) & ($true = (breln1 @ X6 @ X7)) & ((subset @ X5 @ X7) != $true))))),
% 38.40/6.70 inference(rectify,[status(thm)],[f37])).
% 38.40/6.70 thf(f37,plain,(
% 38.40/6.70 (! [X1 : $i,X0 : $i] : (((breln1 @ X0 @ X1) != $true) | ! [X2 : $i] : (? [X3 : $i] : (((in @ X3 @ X0) = $true) & ? [X4 : $i] : (((in @ X4 @ X0) = $true) & ((in @ (kpair @ X3 @ X4) @ X1) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true))) | ((breln1 @ X0 @ X2) != $true) | ($true = (subset @ X1 @ X2)))) | (subbreln1 != $true)) & ((subbreln1 = $true) | ? [X1 : $i,X0 : $i] : (((breln1 @ X0 @ X1) = $true) & ? [X2 : $i] : (! [X3 : $i] : (((in @ X3 @ X0) != $true) | ! [X4 : $i] : (((in @ X4 @ X0) != $true) | ((in @ (kpair @ X3 @ X4) @ X1) != $true) | ((in @ (kpair @ X3 @ X4) @ X2) = $true))) & ((breln1 @ X0 @ X2) = $true) & ($true != (subset @ X1 @ X2)))))),
% 38.40/6.70 inference(nnf_transformation,[status(thm)],[f27])).
% 38.40/6.70 thf(f27,plain,(
% 38.40/6.70 ! [X1 : $i,X0 : $i] : (((breln1 @ X0 @ X1) != $true) | ! [X2 : $i] : (? [X3 : $i] : (((in @ X3 @ X0) = $true) & ? [X4 : $i] : (((in @ X4 @ X0) = $true) & ((in @ (kpair @ X3 @ X4) @ X1) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true))) | ((breln1 @ X0 @ X2) != $true) | ($true = (subset @ X1 @ X2)))) <=> (subbreln1 = $true)),
% 38.40/6.70 inference(flattening,[status(thm)],[f26])).
% 38.40/6.70 thf(f26,plain,(
% 38.40/6.70 (subbreln1 = $true) <=> ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((($true = (subset @ X1 @ X2)) | ? [X3 : $i] : (? [X4 : $i] : ((((in @ (kpair @ X3 @ X4) @ X2) != $true) & ((in @ (kpair @ X3 @ X4) @ X1) = $true)) & ((in @ X4 @ X0) = $true)) & ((in @ X3 @ X0) = $true))) | ((breln1 @ X0 @ X2) != $true)) | ((breln1 @ X0 @ X1) != $true))),
% 38.40/6.70 inference(ennf_transformation,[status(thm)],[f17])).
% 38.40/6.70 thf(f17,plain,(
% 38.40/6.70 (subbreln1 = $true) <=> ! [X0 : $i,X1 : $i] : (((breln1 @ X0 @ X1) = $true) => ! [X2 : $i] : (((breln1 @ X0 @ X2) = $true) => (! [X3 : $i] : (((in @ X3 @ X0) = $true) => ! [X4 : $i] : (((in @ X4 @ X0) = $true) => (((in @ (kpair @ X3 @ X4) @ X1) = $true) => ((in @ (kpair @ X3 @ X4) @ X2) = $true)))) => ($true = (subset @ X1 @ X2)))))),
% 38.40/6.70 inference(fool_elimination,[status(thm)],[f16])).
% 38.40/6.70 thf(f16,plain,(
% 38.40/6.70 (subbreln1 = ! [X0 : $i,X1 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((breln1 @ X0 @ X2) => (! [X3 : $i] : ((in @ X3 @ X0) => ! [X4 : $i] : ((in @ X4 @ X0) => ((in @ (kpair @ X3 @ X4) @ X1) => (in @ (kpair @ X3 @ X4) @ X2)))) => (subset @ X1 @ X2)))))),
% 38.40/6.70 inference(rectify,[status(thm)],[f2])).
% 38.40/6.70 thf(f2,axiom,(
% 38.40/6.70 (subbreln1 = ! [X0 : $i,X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((breln1 @ X0 @ X3) => (! [X4 : $i] : ((in @ X4 @ X0) => ! [X5 : $i] : ((in @ X5 @ X0) => ((in @ (kpair @ X4 @ X5) @ X2) => (in @ (kpair @ X4 @ X5) @ X3)))) => (subset @ X2 @ X3)))))),
% 38.40/6.70 file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',subbreln1)).
% 38.40/6.70 thf(f346,plain,(
% 38.40/6.70 spl35_44 | ~spl35_1),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f103,f139,f344])).
% 38.40/6.70 thf(f139,definition,(
% 38.40/6.70 spl35_1 <=> (breln1unionIL = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_1])],[avatar_definition])).
% 38.40/6.70 thf(f103,plain,(
% 38.40/6.70 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((breln1 @ X0 @ X2) != $true) | ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ (kpair @ X3 @ X4) @ X1) != $true) | ((in @ X4 @ X0) != $true) | (breln1unionIL != $true) | ((in @ X3 @ X0) != $true) | ((breln1 @ X0 @ X1) != $true)) )),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f61])).
% 38.40/6.70 thf(f61,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ! [X3 : $i] : (((in @ X3 @ X0) != $true) | ! [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ (kpair @ X3 @ X4) @ X1) != $true) | ((in @ X4 @ X0) != $true)))) | ((breln1 @ X0 @ X1) != $true)) | (breln1unionIL != $true)) & ((breln1unionIL = $true) | ((((breln1 @ sK12 @ sK14) = $true) & (($true = (in @ sK15 @ sK12)) & (((in @ (kpair @ sK15 @ sK16) @ (binunion @ sK13 @ sK14)) != $true) & ((in @ (kpair @ sK15 @ sK16) @ sK13) = $true) & ((in @ sK16 @ sK12) = $true)))) & ((breln1 @ sK12 @ sK13) = $true)))),
% 38.40/6.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f56,f60,f59,f58,f57])).
% 38.40/6.70 thf(f57,plain,(
% 38.40/6.70 ? [X5 : $i,X6 : $i] : (? [X7 : $i] : (((breln1 @ X5 @ X7) = $true) & ? [X8 : $i] : (((in @ X8 @ X5) = $true) & ? [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ X6 @ X7)) != $true) & ((in @ (kpair @ X8 @ X9) @ X6) = $true) & ($true = (in @ X9 @ X5))))) & ((breln1 @ X5 @ X6) = $true)) => (? [X7 : $i] : (((breln1 @ sK12 @ X7) = $true) & ? [X8 : $i] : (($true = (in @ X8 @ sK12)) & ? [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ sK13 @ X7)) != $true) & ($true = (in @ (kpair @ X8 @ X9) @ sK13)) & ($true = (in @ X9 @ sK12))))) & ((breln1 @ sK12 @ sK13) = $true))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f58,plain,(
% 38.40/6.70 ? [X7 : $i] : (((breln1 @ sK12 @ X7) = $true) & ? [X8 : $i] : (($true = (in @ X8 @ sK12)) & ? [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ sK13 @ X7)) != $true) & ($true = (in @ (kpair @ X8 @ X9) @ sK13)) & ($true = (in @ X9 @ sK12))))) => (((breln1 @ sK12 @ sK14) = $true) & ? [X8 : $i] : (($true = (in @ X8 @ sK12)) & ? [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ sK13 @ sK14)) != $true) & ($true = (in @ (kpair @ X8 @ X9) @ sK13)) & ($true = (in @ X9 @ sK12)))))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f59,plain,(
% 38.40/6.70 ? [X8 : $i] : (($true = (in @ X8 @ sK12)) & ? [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ sK13 @ sK14)) != $true) & ($true = (in @ (kpair @ X8 @ X9) @ sK13)) & ($true = (in @ X9 @ sK12)))) => (($true = (in @ sK15 @ sK12)) & ? [X9 : $i] : (((in @ (kpair @ sK15 @ X9) @ (binunion @ sK13 @ sK14)) != $true) & ((in @ (kpair @ sK15 @ X9) @ sK13) = $true) & ($true = (in @ X9 @ sK12))))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f60,plain,(
% 38.40/6.70 ? [X9 : $i] : (((in @ (kpair @ sK15 @ X9) @ (binunion @ sK13 @ sK14)) != $true) & ((in @ (kpair @ sK15 @ X9) @ sK13) = $true) & ($true = (in @ X9 @ sK12))) => (((in @ (kpair @ sK15 @ sK16) @ (binunion @ sK13 @ sK14)) != $true) & ((in @ (kpair @ sK15 @ sK16) @ sK13) = $true) & ((in @ sK16 @ sK12) = $true))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f56,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ! [X3 : $i] : (((in @ X3 @ X0) != $true) | ! [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ (kpair @ X3 @ X4) @ X1) != $true) | ((in @ X4 @ X0) != $true)))) | ((breln1 @ X0 @ X1) != $true)) | (breln1unionIL != $true)) & ((breln1unionIL = $true) | ? [X5 : $i,X6 : $i] : (? [X7 : $i] : (((breln1 @ X5 @ X7) = $true) & ? [X8 : $i] : (((in @ X8 @ X5) = $true) & ? [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ X6 @ X7)) != $true) & ((in @ (kpair @ X8 @ X9) @ X6) = $true) & ($true = (in @ X9 @ X5))))) & ((breln1 @ X5 @ X6) = $true)))),
% 38.40/6.70 inference(rectify,[status(thm)],[f55])).
% 38.40/6.70 thf(f55,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ! [X3 : $i] : (((in @ X3 @ X0) != $true) | ! [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ (kpair @ X3 @ X4) @ X1) != $true) | ((in @ X4 @ X0) != $true)))) | ((breln1 @ X0 @ X1) != $true)) | (breln1unionIL != $true)) & ((breln1unionIL = $true) | ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (((breln1 @ X0 @ X2) = $true) & ? [X3 : $i] : (((in @ X3 @ X0) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) != $true) & ((in @ (kpair @ X3 @ X4) @ X1) = $true) & ((in @ X4 @ X0) = $true)))) & ((breln1 @ X0 @ X1) = $true)))),
% 38.40/6.70 inference(nnf_transformation,[status(thm)],[f36])).
% 38.40/6.70 thf(f36,plain,(
% 38.40/6.70 ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ! [X3 : $i] : (((in @ X3 @ X0) != $true) | ! [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ (kpair @ X3 @ X4) @ X1) != $true) | ((in @ X4 @ X0) != $true)))) | ((breln1 @ X0 @ X1) != $true)) <=> (breln1unionIL = $true)),
% 38.40/6.70 inference(flattening,[status(thm)],[f35])).
% 38.40/6.70 thf(f35,plain,(
% 38.40/6.70 (breln1unionIL = $true) <=> ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (! [X3 : $i] : (! [X4 : $i] : ((((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ (kpair @ X3 @ X4) @ X1) != $true)) | ((in @ X4 @ X0) != $true)) | ((in @ X3 @ X0) != $true)) | ((breln1 @ X0 @ X2) != $true)) | ((breln1 @ X0 @ X1) != $true))),
% 38.40/6.70 inference(ennf_transformation,[status(thm)],[f15])).
% 38.40/6.70 thf(f15,plain,(
% 38.40/6.70 (breln1unionIL = $true) <=> ! [X0 : $i,X1 : $i] : (((breln1 @ X0 @ X1) = $true) => ! [X2 : $i] : (((breln1 @ X0 @ X2) = $true) => ! [X3 : $i] : (((in @ X3 @ X0) = $true) => ! [X4 : $i] : (((in @ X4 @ X0) = $true) => (((in @ (kpair @ X3 @ X4) @ X1) = $true) => ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true))))))),
% 38.40/6.70 inference(fool_elimination,[status(thm)],[f14])).
% 38.40/6.70 thf(f14,plain,(
% 38.40/6.70 (breln1unionIL = ! [X0 : $i,X1 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((in @ X3 @ X0) => ! [X4 : $i] : ((in @ X4 @ X0) => ((in @ (kpair @ X3 @ X4) @ X1) => (in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2))))))))),
% 38.40/6.70 inference(rectify,[status(thm)],[f4])).
% 38.40/6.70 thf(f4,axiom,(
% 38.40/6.70 (breln1unionIL = ! [X0 : $i,X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((breln1 @ X0 @ X3) => ! [X4 : $i] : ((in @ X4 @ X0) => ! [X5 : $i] : ((in @ X5 @ X0) => ((in @ (kpair @ X4 @ X5) @ X2) => (in @ (kpair @ X4 @ X5) @ (binunion @ X2 @ X3))))))))),
% 38.40/6.70 file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionIL)).
% 38.40/6.70 thf(f312,plain,(
% 38.40/6.70 spl35_14),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f110,f197])).
% 38.40/6.70 thf(f110,plain,(
% 38.40/6.70 (subbreln1 = $true)),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f69])).
% 38.40/6.70 thf(f311,plain,(
% 38.40/6.70 spl35_1),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f112,f139])).
% 38.40/6.70 thf(f112,plain,(
% 38.40/6.70 (breln1unionIL = $true)),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f69])).
% 38.40/6.70 thf(f300,plain,(
% 38.40/6.70 ~spl35_17 | spl35_35),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f117,f298,f211])).
% 38.40/6.70 thf(f211,definition,(
% 38.40/6.70 spl35_17 <=> (breln1unionIR = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_17])],[avatar_definition])).
% 38.40/6.70 thf(f117,plain,(
% 38.40/6.70 ( ! [X8 : $i,X6 : $i,X9 : $i,X7 : $i,X5 : $i] : (((in @ (kpair @ X8 @ X9) @ X7) != $true) | ((in @ X9 @ X6) != $true) | ($true != (in @ X8 @ X6)) | ((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) = $true) | ((breln1 @ X6 @ X5) != $true) | (breln1unionIR != $true) | ($true != (breln1 @ X6 @ X7))) )),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f76])).
% 38.40/6.70 thf(f76,plain,(
% 38.40/6.70 ((breln1unionIR = $true) | (((breln1 @ sK24 @ sK23) = $true) & (($true = (breln1 @ sK24 @ sK25)) & (($true = (in @ sK26 @ sK24)) & (((in @ (kpair @ sK26 @ sK27) @ (binunion @ sK23 @ sK25)) != $true) & ((in @ sK27 @ sK24) = $true) & ((in @ (kpair @ sK26 @ sK27) @ sK25) = $true)))))) & (! [X5 : $i,X6 : $i] : (((breln1 @ X6 @ X5) != $true) | ! [X7 : $i] : (($true != (breln1 @ X6 @ X7)) | ! [X8 : $i] : (($true != (in @ X8 @ X6)) | ! [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) = $true) | ((in @ X9 @ X6) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) != $true))))) | (breln1unionIR != $true))),
% 38.40/6.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27])],[f71,f75,f74,f73,f72])).
% 38.40/6.70 thf(f72,plain,(
% 38.40/6.70 ? [X0 : $i,X1 : $i] : (((breln1 @ X1 @ X0) = $true) & ? [X2 : $i] : (((breln1 @ X1 @ X2) = $true) & ? [X3 : $i] : (($true = (in @ X3 @ X1)) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) != $true) & ((in @ X4 @ X1) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) = $true))))) => (((breln1 @ sK24 @ sK23) = $true) & ? [X2 : $i] : (($true = (breln1 @ sK24 @ X2)) & ? [X3 : $i] : (($true = (in @ X3 @ sK24)) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ sK23 @ X2)) != $true) & ($true = (in @ X4 @ sK24)) & ((in @ (kpair @ X3 @ X4) @ X2) = $true)))))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f73,plain,(
% 38.40/6.70 ? [X2 : $i] : (($true = (breln1 @ sK24 @ X2)) & ? [X3 : $i] : (($true = (in @ X3 @ sK24)) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ sK23 @ X2)) != $true) & ($true = (in @ X4 @ sK24)) & ((in @ (kpair @ X3 @ X4) @ X2) = $true)))) => (($true = (breln1 @ sK24 @ sK25)) & ? [X3 : $i] : (($true = (in @ X3 @ sK24)) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ sK23 @ sK25)) != $true) & ($true = (in @ X4 @ sK24)) & ((in @ (kpair @ X3 @ X4) @ sK25) = $true))))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f74,plain,(
% 38.40/6.70 ? [X3 : $i] : (($true = (in @ X3 @ sK24)) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ sK23 @ sK25)) != $true) & ($true = (in @ X4 @ sK24)) & ((in @ (kpair @ X3 @ X4) @ sK25) = $true))) => (($true = (in @ sK26 @ sK24)) & ? [X4 : $i] : (((in @ (kpair @ sK26 @ X4) @ (binunion @ sK23 @ sK25)) != $true) & ($true = (in @ X4 @ sK24)) & ((in @ (kpair @ sK26 @ X4) @ sK25) = $true)))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f75,plain,(
% 38.40/6.70 ? [X4 : $i] : (((in @ (kpair @ sK26 @ X4) @ (binunion @ sK23 @ sK25)) != $true) & ($true = (in @ X4 @ sK24)) & ((in @ (kpair @ sK26 @ X4) @ sK25) = $true)) => (((in @ (kpair @ sK26 @ sK27) @ (binunion @ sK23 @ sK25)) != $true) & ((in @ sK27 @ sK24) = $true) & ((in @ (kpair @ sK26 @ sK27) @ sK25) = $true))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f71,plain,(
% 38.40/6.70 ((breln1unionIR = $true) | ? [X0 : $i,X1 : $i] : (((breln1 @ X1 @ X0) = $true) & ? [X2 : $i] : (((breln1 @ X1 @ X2) = $true) & ? [X3 : $i] : (($true = (in @ X3 @ X1)) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) != $true) & ((in @ X4 @ X1) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) = $true)))))) & (! [X5 : $i,X6 : $i] : (((breln1 @ X6 @ X5) != $true) | ! [X7 : $i] : (($true != (breln1 @ X6 @ X7)) | ! [X8 : $i] : (($true != (in @ X8 @ X6)) | ! [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) = $true) | ((in @ X9 @ X6) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) != $true))))) | (breln1unionIR != $true))),
% 38.40/6.70 inference(rectify,[status(thm)],[f70])).
% 38.40/6.70 thf(f70,plain,(
% 38.40/6.70 ((breln1unionIR = $true) | ? [X1 : $i,X0 : $i] : (((breln1 @ X0 @ X1) = $true) & ? [X2 : $i] : (((breln1 @ X0 @ X2) = $true) & ? [X3 : $i] : (((in @ X3 @ X0) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) != $true) & ((in @ X4 @ X0) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) = $true)))))) & (! [X1 : $i,X0 : $i] : (((breln1 @ X0 @ X1) != $true) | ! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ! [X3 : $i] : (((in @ X3 @ X0) != $true) | ! [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ X4 @ X0) != $true) | ((in @ (kpair @ X3 @ X4) @ X2) != $true))))) | (breln1unionIR != $true))),
% 38.40/6.70 inference(nnf_transformation,[status(thm)],[f33])).
% 38.40/6.70 thf(f33,plain,(
% 38.40/6.70 (breln1unionIR = $true) <=> ! [X1 : $i,X0 : $i] : (((breln1 @ X0 @ X1) != $true) | ! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ! [X3 : $i] : (((in @ X3 @ X0) != $true) | ! [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ X4 @ X0) != $true) | ((in @ (kpair @ X3 @ X4) @ X2) != $true)))))),
% 38.40/6.70 inference(flattening,[status(thm)],[f32])).
% 38.40/6.70 thf(f32,plain,(
% 38.40/6.70 (breln1unionIR = $true) <=> ! [X1 : $i,X0 : $i] : (! [X2 : $i] : (! [X3 : $i] : (! [X4 : $i] : ((((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) | ((in @ (kpair @ X3 @ X4) @ X2) != $true)) | ((in @ X4 @ X0) != $true)) | ((in @ X3 @ X0) != $true)) | ((breln1 @ X0 @ X2) != $true)) | ((breln1 @ X0 @ X1) != $true))),
% 38.40/6.70 inference(ennf_transformation,[status(thm)],[f13])).
% 38.40/6.70 thf(f13,plain,(
% 38.40/6.70 (breln1unionIR = $true) <=> ! [X1 : $i,X0 : $i] : (((breln1 @ X0 @ X1) = $true) => ! [X2 : $i] : (((breln1 @ X0 @ X2) = $true) => ! [X3 : $i] : (((in @ X3 @ X0) = $true) => ! [X4 : $i] : (((in @ X4 @ X0) = $true) => (((in @ (kpair @ X3 @ X4) @ X2) = $true) => ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true))))))),
% 38.40/6.70 inference(fool_elimination,[status(thm)],[f12])).
% 38.40/6.70 thf(f12,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((in @ X3 @ X0) => ! [X4 : $i] : ((in @ X4 @ X0) => ((in @ (kpair @ X3 @ X4) @ X2) => (in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2))))))) = breln1unionIR)),
% 38.40/6.70 inference(rectify,[status(thm)],[f5])).
% 38.40/6.70 thf(f5,axiom,(
% 38.40/6.70 (! [X0 : $i,X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((breln1 @ X0 @ X3) => ! [X4 : $i] : ((in @ X4 @ X0) => ! [X5 : $i] : ((in @ X5 @ X0) => ((in @ (kpair @ X4 @ X5) @ X3) => (in @ (kpair @ X4 @ X5) @ (binunion @ X2 @ X3))))))) = breln1unionIR)),
% 38.40/6.70 file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionIR)).
% 38.40/6.70 thf(f281,plain,(
% 38.40/6.70 spl35_17),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f111,f211])).
% 38.40/6.70 thf(f111,plain,(
% 38.40/6.70 (breln1unionIR = $true)),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f69])).
% 38.40/6.70 thf(f280,plain,(
% 38.40/6.70 ~spl35_14 | spl35_31),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f83,f278,f197])).
% 38.40/6.70 thf(f83,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((subbreln1 != $true) | ((breln1 @ X1 @ X2) != $true) | ((subset @ X0 @ X2) = $true) | ((breln1 @ X1 @ X0) != $true) | ((in @ (sK1 @ X2 @ X1 @ X0) @ X1) = $true)) )),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f43])).
% 38.40/6.70 thf(f276,plain,(
% 38.40/6.70 spl35_3),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f133,f148])).
% 38.40/6.70 thf(f133,plain,(
% 38.40/6.70 (sF34 = $true)),
% 38.40/6.70 inference(definition_folding,[status(thm)],[f113,f132,f124])).
% 38.40/6.70 thf(f132,definition,(
% 38.40/6.70 (sF34 = (sF28 @ sK22))),
% 38.40/6.70 introduced(definition,[],[function_definition])).
% 38.40/6.70 thf(f113,plain,(
% 38.40/6.70 ((breln1 @ sK21 @ sK22) = $true)),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f69])).
% 38.40/6.70 thf(f270,plain,(
% 38.40/6.70 spl35_11),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f108,f184])).
% 38.40/6.70 thf(f184,definition,(
% 38.40/6.70 spl35_11 <=> (setextsub = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_11])],[avatar_definition])).
% 38.40/6.70 thf(f108,plain,(
% 38.40/6.70 (setextsub = $true)),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f69])).
% 38.40/6.70 thf(f264,plain,(
% 38.40/6.70 spl35_26),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f109,f251])).
% 38.40/6.70 thf(f109,plain,(
% 38.40/6.70 (breln1unionprop = $true)),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f69])).
% 38.40/6.70 thf(f259,plain,(
% 38.40/6.70 spl35_16),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f116,f206])).
% 38.40/6.70 thf(f206,definition,(
% 38.40/6.70 spl35_16 <=> (breln1unionE = $true)),
% 38.40/6.70 introduced(definition,[new_symbols(naming,[spl35_16])],[avatar_definition])).
% 38.40/6.70 thf(f116,plain,(
% 38.40/6.70 (breln1unionE = $true)),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f69])).
% 38.40/6.70 thf(f258,plain,(
% 38.40/6.70 spl35_27 | ~spl35_14),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f84,f197,f256])).
% 38.40/6.70 thf(f84,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ X0 @ X2) = $true) | (subbreln1 != $true) | ((breln1 @ X1 @ X0) != $true) | ((breln1 @ X1 @ X2) != $true) | ((in @ (sK0 @ X2 @ X1 @ X0) @ X1) = $true)) )),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f43])).
% 38.40/6.70 thf(f240,plain,(
% 38.40/6.70 spl35_23 | ~spl35_14),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f82,f197,f238])).
% 38.40/6.70 thf(f82,plain,(
% 38.40/6.70 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((subbreln1 != $true) | ((subset @ X0 @ X2) = $true) | ((breln1 @ X1 @ X2) != $true) | ((breln1 @ X1 @ X0) != $true) | ((in @ (kpair @ (sK0 @ X2 @ X1 @ X0) @ (sK1 @ X2 @ X1 @ X0)) @ X0) = $true)) )),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f43])).
% 38.40/6.70 thf(f236,plain,(
% 38.40/6.70 spl35_22 | ~spl35_11),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f88,f184,f234])).
% 38.40/6.70 thf(f88,plain,(
% 38.40/6.70 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | ((subset @ X1 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | (setextsub != $true)) )),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f47])).
% 38.40/6.70 thf(f47,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (((subset @ X1 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | (X0 = X1)) | (setextsub != $true)) & ((setextsub = $true) | (((subset @ sK6 @ sK5) = $true) & ((subset @ sK5 @ sK6) = $true) & (sK6 != sK5)))),
% 38.40/6.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f45,f46])).
% 38.40/6.70 thf(f46,plain,(
% 38.40/6.70 ? [X2 : $i,X3 : $i] : (((subset @ X3 @ X2) = $true) & ((subset @ X2 @ X3) = $true) & (X2 != X3)) => (((subset @ sK6 @ sK5) = $true) & ((subset @ sK5 @ sK6) = $true) & (sK6 != sK5))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f45,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : (((subset @ X1 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | (X0 = X1)) | (setextsub != $true)) & ((setextsub = $true) | ? [X2 : $i,X3 : $i] : (((subset @ X3 @ X2) = $true) & ((subset @ X2 @ X3) = $true) & (X2 != X3)))),
% 38.40/6.70 inference(rectify,[status(thm)],[f44])).
% 38.40/6.70 thf(f44,plain,(
% 38.40/6.70 (! [X1 : $i,X0 : $i] : (((subset @ X0 @ X1) != $true) | ((subset @ X1 @ X0) != $true) | (X0 = X1)) | (setextsub != $true)) & ((setextsub = $true) | ? [X1 : $i,X0 : $i] : (((subset @ X0 @ X1) = $true) & ((subset @ X1 @ X0) = $true) & (X0 != X1)))),
% 38.40/6.70 inference(nnf_transformation,[status(thm)],[f29])).
% 38.40/6.70 thf(f29,plain,(
% 38.40/6.70 ! [X1 : $i,X0 : $i] : (((subset @ X0 @ X1) != $true) | ((subset @ X1 @ X0) != $true) | (X0 = X1)) <=> (setextsub = $true)),
% 38.40/6.70 inference(flattening,[status(thm)],[f28])).
% 38.40/6.70 thf(f28,plain,(
% 38.40/6.70 (setextsub = $true) <=> ! [X1 : $i,X0 : $i] : (((X0 = X1) | ((subset @ X1 @ X0) != $true)) | ((subset @ X0 @ X1) != $true))),
% 38.40/6.70 inference(ennf_transformation,[status(thm)],[f21])).
% 38.40/6.70 thf(f21,plain,(
% 38.40/6.70 (setextsub = $true) <=> ! [X1 : $i,X0 : $i] : (((subset @ X0 @ X1) = $true) => (((subset @ X1 @ X0) = $true) => (X0 = X1)))),
% 38.40/6.70 inference(fool_elimination,[status(thm)],[f20])).
% 38.40/6.70 thf(f20,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => ((subset @ X1 @ X0) => (X0 = X1))) = setextsub)),
% 38.40/6.70 inference(rectify,[status(thm)],[f1])).
% 38.40/6.70 thf(f1,axiom,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => ((subset @ X1 @ X0) => (X0 = X1))) = setextsub)),
% 38.40/6.70 file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',setextsub)).
% 38.40/6.70 thf(f232,plain,(
% 38.40/6.70 spl35_21 | ~spl35_16),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f89,f206,f230])).
% 38.40/6.70 thf(f89,plain,(
% 38.40/6.70 ( ! [X8 : $i,X6 : $i,X9 : $i,X7 : $i,X5 : $i] : (((in @ X9 @ X6) != $true) | ((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) != $true) | ((in @ (kpair @ X8 @ X9) @ X5) = $true) | (breln1unionE != $true) | ($true != (breln1 @ X6 @ X7)) | ((breln1 @ X6 @ X5) != $true) | ($true != (in @ X8 @ X6)) | ((in @ (kpair @ X8 @ X9) @ X7) = $true)) )),
% 38.40/6.70 inference(cnf_transformation,[status(thm)],[f54])).
% 38.40/6.70 thf(f54,plain,(
% 38.40/6.70 ((breln1unionE = $true) | ((((breln1 @ sK8 @ sK9) = $true) & (((in @ sK10 @ sK8) = $true) & (((in @ (kpair @ sK10 @ sK11) @ sK7) != $true) & ((in @ sK11 @ sK8) = $true) & ((in @ (kpair @ sK10 @ sK11) @ (binunion @ sK7 @ sK9)) = $true) & ($true != (in @ (kpair @ sK10 @ sK11) @ sK9))))) & ((breln1 @ sK8 @ sK7) = $true))) & (! [X5 : $i,X6 : $i] : (! [X7 : $i] : (($true != (breln1 @ X6 @ X7)) | ! [X8 : $i] : (($true != (in @ X8 @ X6)) | ! [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ X5) = $true) | ((in @ X9 @ X6) != $true) | ((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) = $true)))) | ((breln1 @ X6 @ X5) != $true)) | (breln1unionE != $true))),
% 38.40/6.70 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11])],[f49,f53,f52,f51,f50])).
% 38.40/6.70 thf(f50,plain,(
% 38.40/6.70 ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (((breln1 @ X1 @ X2) = $true) & ? [X3 : $i] : (($true = (in @ X3 @ X1)) & ? [X4 : $i] : (($true != (in @ (kpair @ X3 @ X4) @ X0)) & ((in @ X4 @ X1) = $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true)))) & ((breln1 @ X1 @ X0) = $true)) => (? [X2 : $i] : (((breln1 @ sK8 @ X2) = $true) & ? [X3 : $i] : (((in @ X3 @ sK8) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ sK7) != $true) & ((in @ X4 @ sK8) = $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK7 @ X2)) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true)))) & ((breln1 @ sK8 @ sK7) = $true))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f51,plain,(
% 38.40/6.70 ? [X2 : $i] : (((breln1 @ sK8 @ X2) = $true) & ? [X3 : $i] : (((in @ X3 @ sK8) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ sK7) != $true) & ((in @ X4 @ sK8) = $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK7 @ X2)) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true)))) => (((breln1 @ sK8 @ sK9) = $true) & ? [X3 : $i] : (((in @ X3 @ sK8) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ sK7) != $true) & ((in @ X4 @ sK8) = $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK7 @ sK9)) = $true) & ((in @ (kpair @ X3 @ X4) @ sK9) != $true))))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f52,plain,(
% 38.40/6.70 ? [X3 : $i] : (((in @ X3 @ sK8) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ sK7) != $true) & ((in @ X4 @ sK8) = $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK7 @ sK9)) = $true) & ((in @ (kpair @ X3 @ X4) @ sK9) != $true))) => (((in @ sK10 @ sK8) = $true) & ? [X4 : $i] : (((in @ (kpair @ sK10 @ X4) @ sK7) != $true) & ((in @ X4 @ sK8) = $true) & ((in @ (kpair @ sK10 @ X4) @ (binunion @ sK7 @ sK9)) = $true) & ((in @ (kpair @ sK10 @ X4) @ sK9) != $true)))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f53,plain,(
% 38.40/6.70 ? [X4 : $i] : (((in @ (kpair @ sK10 @ X4) @ sK7) != $true) & ((in @ X4 @ sK8) = $true) & ((in @ (kpair @ sK10 @ X4) @ (binunion @ sK7 @ sK9)) = $true) & ((in @ (kpair @ sK10 @ X4) @ sK9) != $true)) => (((in @ (kpair @ sK10 @ sK11) @ sK7) != $true) & ((in @ sK11 @ sK8) = $true) & ((in @ (kpair @ sK10 @ sK11) @ (binunion @ sK7 @ sK9)) = $true) & ($true != (in @ (kpair @ sK10 @ sK11) @ sK9)))),
% 38.40/6.70 introduced(definition,[],[choice_axiom])).
% 38.40/6.70 thf(f49,plain,(
% 38.40/6.70 ((breln1unionE = $true) | ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (((breln1 @ X1 @ X2) = $true) & ? [X3 : $i] : (($true = (in @ X3 @ X1)) & ? [X4 : $i] : (($true != (in @ (kpair @ X3 @ X4) @ X0)) & ((in @ X4 @ X1) = $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true)))) & ((breln1 @ X1 @ X0) = $true))) & (! [X5 : $i,X6 : $i] : (! [X7 : $i] : (($true != (breln1 @ X6 @ X7)) | ! [X8 : $i] : (($true != (in @ X8 @ X6)) | ! [X9 : $i] : (((in @ (kpair @ X8 @ X9) @ X5) = $true) | ((in @ X9 @ X6) != $true) | ((in @ (kpair @ X8 @ X9) @ (binunion @ X5 @ X7)) != $true) | ((in @ (kpair @ X8 @ X9) @ X7) = $true)))) | ((breln1 @ X6 @ X5) != $true)) | (breln1unionE != $true))),
% 38.40/6.70 inference(rectify,[status(thm)],[f48])).
% 38.40/6.70 thf(f48,plain,(
% 38.40/6.70 ((breln1unionE = $true) | ? [X1 : $i,X0 : $i] : (? [X2 : $i] : (((breln1 @ X0 @ X2) = $true) & ? [X3 : $i] : (((in @ X3 @ X0) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ X1) != $true) & ((in @ X4 @ X0) = $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true)))) & ((breln1 @ X0 @ X1) = $true))) & (! [X1 : $i,X0 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ! [X3 : $i] : (((in @ X3 @ X0) != $true) | ! [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ X1) = $true) | ((in @ X4 @ X0) != $true) | ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) != $true) | ((in @ (kpair @ X3 @ X4) @ X2) = $true)))) | ((breln1 @ X0 @ X1) != $true)) | (breln1unionE != $true))),
% 38.40/6.70 inference(nnf_transformation,[status(thm)],[f25])).
% 38.40/6.70 thf(f25,plain,(
% 38.40/6.70 (breln1unionE = $true) <=> ! [X1 : $i,X0 : $i] : (! [X2 : $i] : (((breln1 @ X0 @ X2) != $true) | ! [X3 : $i] : (((in @ X3 @ X0) != $true) | ! [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ X1) = $true) | ((in @ X4 @ X0) != $true) | ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) != $true) | ((in @ (kpair @ X3 @ X4) @ X2) = $true)))) | ((breln1 @ X0 @ X1) != $true))),
% 38.40/6.70 inference(flattening,[status(thm)],[f24])).
% 38.40/6.70 thf(f24,plain,(
% 38.40/6.70 ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (! [X3 : $i] : (! [X4 : $i] : (((((in @ (kpair @ X3 @ X4) @ X1) = $true) | ((in @ (kpair @ X3 @ X4) @ X2) = $true)) | ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) != $true)) | ((in @ X4 @ X0) != $true)) | ((in @ X3 @ X0) != $true)) | ((breln1 @ X0 @ X2) != $true)) | ((breln1 @ X0 @ X1) != $true)) <=> (breln1unionE = $true)),
% 38.40/6.70 inference(ennf_transformation,[status(thm)],[f11])).
% 38.40/6.70 thf(f11,plain,(
% 38.40/6.70 ! [X0 : $i,X1 : $i] : (((breln1 @ X0 @ X1) = $true) => ! [X2 : $i] : (((breln1 @ X0 @ X2) = $true) => ! [X3 : $i] : (((in @ X3 @ X0) = $true) => ! [X4 : $i] : (((in @ X4 @ X0) = $true) => (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) => (((in @ (kpair @ X3 @ X4) @ X1) = $true) | ((in @ (kpair @ X3 @ X4) @ X2) = $true))))))) <=> (breln1unionE = $true)),
% 38.40/6.70 inference(fool_elimination,[status(thm)],[f10])).
% 38.40/6.70 thf(f10,plain,(
% 38.40/6.70 (! [X0 : $i,X1 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((in @ X3 @ X0) => ! [X4 : $i] : ((in @ X4 @ X0) => ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) => ((in @ (kpair @ X3 @ X4) @ X1) | (in @ (kpair @ X3 @ X4) @ X2))))))) = breln1unionE)),
% 38.40/6.70 inference(rectify,[status(thm)],[f6])).
% 38.40/6.70 thf(f6,axiom,(
% 38.40/6.70 (! [X0 : $i,X2 : $i] : ((breln1 @ X0 @ X2) => ! [X3 : $i] : ((breln1 @ X0 @ X3) => ! [X4 : $i] : ((in @ X4 @ X0) => ! [X5 : $i] : ((in @ X5 @ X0) => ((in @ (kpair @ X4 @ X5) @ (binunion @ X2 @ X3)) => ((in @ (kpair @ X4 @ X5) @ X2) | (in @ (kpair @ X4 @ X5) @ X3))))))) = breln1unionE)),
% 38.40/6.70 file('/export/starexec/sandbox/tmp/tmp.4ZDKfJtzPg/DTF2THF_15125.p',breln1unionE)).
% 38.40/6.70 thf(f173,plain,(
% 38.40/6.70 spl35_7 | spl35_8),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f134,f170,f166])).
% 38.40/6.70 thf(f134,plain,(
% 38.40/6.70 ($false = sF29) | ((sF28 @ sK20) = $true)),
% 38.40/6.70 inference(binary_proxy_clausification,[status(thm)],[f125])).
% 38.40/6.70 thf(f164,plain,(
% 38.40/6.70 spl35_5 | spl35_6),
% 38.40/6.70 inference(avatar_split_clause,[status(thm)],[f137,f161,f157])).
% 38.40/6.70 thf(f137,plain,(
% 38.40/6.70 (sF34 = $false) | ((sF28 @ sK22) = $true)),
% 38.40/6.70 inference(binary_proxy_clausification,[status(thm)],[f132])).
% 38.40/6.70 % SZS output end Proof for DTF2THF_15125
% 38.40/6.70 % (15384)------------------------------
% 38.40/6.70 % (15384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.40/6.70 % (15384)Termination reason: Refutation
% 38.40/6.70
% 38.40/6.70 % (15384)Memory used [KB]: 7164
% 38.40/6.70 % (15384)Time elapsed: 0.279 s
% 38.40/6.70 % (15384)Instructions burned: 582 (million)
% 38.40/6.70 % (15384)------------------------------
% 38.40/6.70 % (15384)------------------------------
% 38.40/6.70 % (15223)Success in time 5.372 s
%------------------------------------------------------------------------------