%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV461^1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 09:41:18 AM UTC 2026
% Result : Theorem 1.53s 2.01s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 89 ( 14 unt; 0 typ; 9 def)
% Number of atoms : 616 ( 159 equ; 0 cnn)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 737 ( 114 ~; 104 |; 23 &; 477 @)
% ( 11 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 108 ( 108 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 17 con; 0-4 aty)
% Number of variables : 119 ( 0 ^; 100 !; 19 ?; 119 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
sK1: $tType ).
thf(func_def_0,type,
'const/trivia/I':
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_1,type,
'const/sets/UNIONS':
!>[X0: $tType] : ( ( ( X0 > $o ) > $o ) > X0 > $o ) ).
thf(func_def_2,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
'const/sets/EMPTY':
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_7,type,
sK0:
!>[X0: $tType] : ( X0 > ( ( X0 > $o ) > $o ) > X0 > $o ) ).
thf(func_def_8,type,
sK2: ( sK1 > $o ) > $o ).
thf(func_def_9,type,
sK3: sK1 > $o ).
thf(func_def_10,type,
sK4:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).
thf(func_def_13,type,
ph6:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
sK7: sK1 ).
thf(func_def_15,type,
sK8: sK1 ).
thf(func_def_16,type,
sK9: sK1 ).
thf(func_def_17,type,
sK10: sK1 ).
thf(func_def_21,type,
sK11: sK1 ).
thf(func_def_22,type,
sK12: sK1 ).
thf(f622,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f57,f61,f66,f105,f191,f411,f490,f516,f586,f621]) ).
thf(f621,plain,
( ~ spl5_32
| ~ spl5_33 ),
inference(avatar_contradiction_clause,[status(thm)],[f620]) ).
thf(f620,plain,
( $false
| ~ spl5_32
| ~ spl5_33 ),
inference(trivial_inequality_removal,[status(thm)],[f606]) ).
thf(f606,plain,
( ( $false = $true )
| ~ spl5_32
| ~ spl5_33 ),
inference(superposition,[status(thm)],[f515,f598]) ).
thf(f598,plain,
( ! [X0: sK1] :
( $false
= ( 'const/sets/UNIONS' @ sK1 @ sK2 @ X0 ) )
| ~ spl5_33 ),
inference(trivial_inequality_removal,[status(thm)],[f588]) ).
thf(f588,plain,
( ! [X0: sK1] :
( ( $true != $true )
| ( $false
= ( 'const/sets/UNIONS' @ sK1 @ sK2 @ X0 ) ) )
| ~ spl5_33 ),
inference(superposition,[status(thm)],[f556,f45]) ).
thf(f45,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
= $true )
| ( $false
= ( X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
= ( X1 @ X2 ) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
thf(f17,plain,
! [X0: $tType,X1: X0 > $o,X2: X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
= ( X1 @ X2 ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
! [X0: $tType,X2: X0 > $o,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ X2 )
= ( X2 @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.GtxVaOn9Ae/DTF2THF_5581.p','thm/sets/IN_') ).
thf(f556,plain,
( ! [X0: sK1] :
( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ ( 'const/sets/UNIONS' @ sK1 @ sK2 ) ) )
| ~ spl5_33 ),
inference(avatar_component_clause,[status(thm)],[f555]) ).
thf(f555,definition,
( spl5_33
<=> ! [X0: sK1] :
( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ ( 'const/sets/UNIONS' @ sK1 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl5_33])],[avatar_definition]) ).
thf(f515,plain,
( ( $true
= ( 'const/sets/UNIONS' @ sK1 @ sK2 @ sK12 ) )
| ~ spl5_32 ),
inference(avatar_component_clause,[status(thm)],[f513]) ).
thf(f513,definition,
( spl5_32
<=> ( $true
= ( 'const/sets/UNIONS' @ sK1 @ sK2 @ sK12 ) ) ),
introduced(definition,[new_symbols(naming,[spl5_32])],[avatar_definition]) ).
thf(f586,plain,
( spl5_33
| ~ spl5_3 ),
inference(avatar_split_clause,[status(thm)],[f553,f59,f555]) ).
thf(f59,definition,
( spl5_3
<=> ! [X3: sK1 > $o] :
( ( 'const/sets/EMPTY' @ ( sK1 = X3 ) )
| ( ( 'const/sets/IN' @ ( sK1 > $o ) @ X3 @ sK2 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl5_3])],[avatar_definition]) ).
thf(f553,plain,
( ! [X0: sK1] :
( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ ( 'const/sets/UNIONS' @ sK1 @ sK2 ) ) )
| ~ spl5_3 ),
inference(subsumption_resolution,[status(thm)],[f548,f37]) ).
thf(f37,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
!= $true ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f18,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
!= $true ),
inference(flattening,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
!= $true ),
inference(fool_elimination,[status(thm)],[f11]) ).
thf(f11,plain,
! [X0: $tType,X1: X0] :
~ ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X0: $tType,X1: X0] :
~ ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ),
file('/export/starexec/sandbox/tmp/tmp.GtxVaOn9Ae/DTF2THF_5581.p','thm/sets/NOT_IN_EMPTY_') ).
thf(f548,plain,
( ! [X0: sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ X0 @ 'const/sets/EMPTY' @ sK1 ) )
| ( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ ( 'const/sets/UNIONS' @ sK1 @ sK2 ) ) ) )
| ~ spl5_3 ),
inference(duplicate_literal_removal,[status(thm)],[f546]) ).
thf(f546,plain,
( ! [X0: sK1] :
( ( $true
= ( 'const/sets/IN' @ sK1 @ X0 @ 'const/sets/EMPTY' @ sK1 ) )
| ( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ ( 'const/sets/UNIONS' @ sK1 @ sK2 ) ) )
| ( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ ( 'const/sets/UNIONS' @ sK1 @ sK2 ) ) ) )
| ~ spl5_3 ),
inference(superposition,[status(thm)],[f34,f537]) ).
thf(f537,plain,
( ! [X0: sK1] :
( ( ( ( sK0 @ sK1 @ X0 @ sK2 )
= 'const/sets/EMPTY' )
@ sK1 )
| ( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ ( 'const/sets/UNIONS' @ sK1 @ sK2 ) ) ) )
| ~ spl5_3 ),
inference(trivial_inequality_removal,[status(thm)],[f527]) ).
thf(f527,plain,
( ! [X0: sK1] :
( ( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ ( 'const/sets/UNIONS' @ sK1 @ sK2 ) ) )
| ( ( ( sK0 @ sK1 @ X0 @ sK2 )
= 'const/sets/EMPTY' )
@ sK1 )
| ( $true != $true ) )
| ~ spl5_3 ),
inference(superposition,[status(thm)],[f60,f35]) ).
thf(f35,plain,
! [X0: $tType,X2: X0,X1: ( X0 > $o ) > $o] :
( ( $true
= ( 'const/sets/IN' @ ( X0 > $o ) @ ( sK0 @ X0 @ X2 @ X1 ) @ X1 ) )
| ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f23,plain,
! [X0: $tType,X1: ( X0 > $o ) > $o,X2: X0] :
( ( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
= $true )
| ! [X3: X0 > $o] :
( ( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
!= $true )
| ( $true
!= ( 'const/sets/IN' @ X0 @ X2 @ X3 ) ) ) )
& ( ( ( $true
= ( 'const/sets/IN' @ ( X0 > $o ) @ ( sK0 @ X0 @ X2 @ X1 ) @ X1 ) )
& ( $true
= ( 'const/sets/IN' @ X0 @ X2 @ ( sK0 @ X0 @ X2 @ X1 ) ) ) )
| ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
thf(f22,plain,
! [X0: $tType,X1: ( X0 > $o ) > $o,X2: X0] :
( ? [X4: X0 > $o] :
( ( ( 'const/sets/IN' @ ( X0 > $o ) @ X4 @ X1 )
= $true )
& ( $true
= ( 'const/sets/IN' @ X0 @ X2 @ X4 ) ) )
=> ( ( $true
= ( 'const/sets/IN' @ ( X0 > $o ) @ ( sK0 @ X0 @ X2 @ X1 ) @ X1 ) )
& ( $true
= ( 'const/sets/IN' @ X0 @ X2 @ ( sK0 @ X0 @ X2 @ X1 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f21,plain,
! [X0: $tType,X1: ( X0 > $o ) > $o,X2: X0] :
( ( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
= $true )
| ! [X3: X0 > $o] :
( ( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
!= $true )
| ( $true
!= ( 'const/sets/IN' @ X0 @ X2 @ X3 ) ) ) )
& ( ? [X4: X0 > $o] :
( ( ( 'const/sets/IN' @ ( X0 > $o ) @ X4 @ X1 )
= $true )
& ( $true
= ( 'const/sets/IN' @ X0 @ X2 @ X4 ) ) )
| ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
!= $true ) ) ),
inference(rectify,[status(thm)],[f20]) ).
thf(f20,plain,
! [X0: $tType,X1: ( X0 > $o ) > $o,X2: X0] :
( ( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
= $true )
| ! [X3: X0 > $o] :
( ( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
!= $true )
| ( $true
!= ( 'const/sets/IN' @ X0 @ X2 @ X3 ) ) ) )
& ( ? [X3: X0 > $o] :
( ( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
= $true )
& ( $true
= ( 'const/sets/IN' @ X0 @ X2 @ X3 ) ) )
| ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
!= $true ) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
! [X0: $tType,X1: ( X0 > $o ) > $o,X2: X0] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
= $true )
<=> ? [X3: X0 > $o] :
( ( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
= $true )
& ( $true
= ( 'const/sets/IN' @ X0 @ X2 @ X3 ) ) ) ),
inference(fool_elimination,[status(thm)],[f15]) ).
thf(f15,plain,
! [X0: $tType,X1: ( X0 > $o ) > $o,X2: X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
= ( ? [X3: X0 > $o] :
( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
& ( 'const/sets/IN' @ X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
! [X0: $tType,X1: ( X0 > $o ) > $o,X3: X0] :
( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
= ( ? [X4: X0 > $o] :
( ( 'const/sets/IN' @ ( X0 > $o ) @ X4 @ X1 )
& ( 'const/sets/IN' @ X0 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.GtxVaOn9Ae/DTF2THF_5581.p','thm/sets/IN_UNIONS_') ).
thf(f60,plain,
( ! [X3: sK1 > $o] :
( ( ( 'const/sets/IN' @ ( sK1 > $o ) @ X3 @ sK2 )
!= $true )
| ( 'const/sets/EMPTY' @ ( sK1 = X3 ) ) )
| ~ spl5_3 ),
inference(avatar_component_clause,[status(thm)],[f59]) ).
thf(f34,plain,
! [X0: $tType,X2: X0,X1: ( X0 > $o ) > $o] :
( ( $true
= ( 'const/sets/IN' @ X0 @ X2 @ ( sK0 @ X0 @ X2 @ X1 ) ) )
| ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f516,plain,
( spl5_32
| spl5_2 ),
inference(avatar_split_clause,[status(thm)],[f511,f54,f513]) ).
thf(f54,definition,
( spl5_2
<=> ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
= 'const/sets/EMPTY' )
@ sK1 ) ),
introduced(definition,[new_symbols(naming,[spl5_2])],[avatar_definition]) ).
thf(f511,plain,
( ( $true
= ( 'const/sets/UNIONS' @ sK1 @ sK2 @ sK12 ) )
| spl5_2 ),
inference(trivial_inequality_removal,[status(thm)],[f510]) ).
thf(f510,plain,
( ( $false = $true )
| ( $true
= ( 'const/sets/UNIONS' @ sK1 @ sK2 @ sK12 ) )
| spl5_2 ),
inference(forward_demodulation,[status(thm)],[f508,f177]) ).
thf(f177,plain,
! [X0: $tType,X1: X0] :
( $false
= ( 'const/sets/EMPTY' @ X0 @ X1 ) ),
inference(trivial_inequality_removal,[status(thm)],[f175]) ).
thf(f175,plain,
! [X0: $tType,X1: X0] :
( ( $false
= ( 'const/sets/EMPTY' @ X0 @ X1 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f37,f45]) ).
thf(f508,plain,
( ( ( 'const/sets/EMPTY' @ sK1 @ sK12 )
= $true )
| ( $true
= ( 'const/sets/UNIONS' @ sK1 @ sK2 @ sK12 ) )
| spl5_2 ),
inference(binary_proxy_clausification,[status(thm)],[f507]) ).
thf(f507,plain,
( ( ( 'const/sets/EMPTY' @ sK1 @ sK12 )
!= ( 'const/sets/UNIONS' @ sK1 @ sK2 @ sK12 ) )
| spl5_2 ),
inference(negative_extensionality,[status(thm)],[f56]) ).
thf(f56,plain,
( ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
!= 'const/sets/EMPTY' )
@ sK1 )
| spl5_2 ),
inference(avatar_component_clause,[status(thm)],[f54]) ).
thf(f490,plain,
( spl5_25
| ~ spl5_2
| ~ spl5_4 ),
inference(avatar_split_clause,[status(thm)],[f489,f63,f54,f310]) ).
thf(f310,definition,
( spl5_25
<=> ! [X0: sK1] :
( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl5_25])],[avatar_definition]) ).
thf(f63,definition,
( spl5_4
<=> ( $true
= ( 'const/sets/IN' @ ( sK1 > $o ) @ sK3 @ sK2 ) ) ),
introduced(definition,[new_symbols(naming,[spl5_4])],[avatar_definition]) ).
thf(f489,plain,
( ! [X0: sK1] :
( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) )
| ~ spl5_2
| ~ spl5_4 ),
inference(trivial_inequality_removal,[status(thm)],[f477]) ).
thf(f477,plain,
( ! [X0: sK1] :
( ( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) )
| ( $true != $true ) )
| ~ spl5_2
| ~ spl5_4 ),
inference(superposition,[status(thm)],[f455,f65]) ).
thf(f65,plain,
( ( $true
= ( 'const/sets/IN' @ ( sK1 > $o ) @ sK3 @ sK2 ) )
| ~ spl5_4 ),
inference(avatar_component_clause,[status(thm)],[f63]) ).
thf(f455,plain,
( ! [X0: sK1,X1: sK1 > $o] :
( ( $true
!= ( 'const/sets/IN' @ ( sK1 > $o ) @ X1 @ sK2 ) )
| ( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ X1 ) ) )
| ~ spl5_2 ),
inference(subsumption_resolution,[status(thm)],[f452,f37]) ).
thf(f452,plain,
( ! [X0: sK1,X1: sK1 > $o] :
( ( $true
!= ( 'const/sets/IN' @ ( sK1 > $o ) @ X1 @ sK2 ) )
| ( $true
= ( 'const/sets/IN' @ sK1 @ X0 @ 'const/sets/EMPTY' @ sK1 ) )
| ( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ X1 ) ) )
| ~ spl5_2 ),
inference(superposition,[status(thm)],[f36,f55]) ).
thf(f55,plain,
( ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
= 'const/sets/EMPTY' )
@ sK1 )
| ~ spl5_2 ),
inference(avatar_component_clause,[status(thm)],[f54]) ).
thf(f36,plain,
! [X0: $tType,X2: X0,X3: X0 > $o,X1: ( X0 > $o ) > $o] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ ( 'const/sets/UNIONS' @ X0 @ X1 ) )
= $true )
| ( $true
!= ( 'const/sets/IN' @ X0 @ X2 @ X3 ) )
| ( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f411,plain,
( ~ spl5_10
| ~ spl5_25 ),
inference(avatar_contradiction_clause,[status(thm)],[f410]) ).
thf(f410,plain,
( $false
| ~ spl5_10
| ~ spl5_25 ),
inference(trivial_inequality_removal,[status(thm)],[f400]) ).
thf(f400,plain,
( ( $false = $true )
| ~ spl5_10
| ~ spl5_25 ),
inference(superposition,[status(thm)],[f100,f391]) ).
thf(f391,plain,
( ! [X0: sK1] :
( $false
= ( sK3 @ X0 ) )
| ~ spl5_25 ),
inference(trivial_inequality_removal,[status(thm)],[f385]) ).
thf(f385,plain,
( ! [X0: sK1] :
( ( $true != $true )
| ( $false
= ( sK3 @ X0 ) ) )
| ~ spl5_25 ),
inference(superposition,[status(thm)],[f311,f45]) ).
thf(f311,plain,
( ! [X0: sK1] :
( $true
!= ( 'const/sets/IN' @ sK1 @ X0 @ sK3 ) )
| ~ spl5_25 ),
inference(avatar_component_clause,[status(thm)],[f310]) ).
thf(f100,plain,
( ( $true
= ( sK3 @ sK8 ) )
| ~ spl5_10 ),
inference(avatar_component_clause,[status(thm)],[f98]) ).
thf(f98,definition,
( spl5_10
<=> ( $true
= ( sK3 @ sK8 ) ) ),
introduced(definition,[new_symbols(naming,[spl5_10])],[avatar_definition]) ).
thf(f191,plain,
~ spl5_11,
inference(avatar_contradiction_clause,[status(thm)],[f190]) ).
thf(f190,plain,
( $false
| ~ spl5_11 ),
inference(trivial_inequality_removal,[status(thm)],[f186]) ).
thf(f186,plain,
( ( $false = $true )
| ~ spl5_11 ),
inference(superposition,[status(thm)],[f177,f104]) ).
thf(f104,plain,
( ( $true
= ( 'const/sets/EMPTY' @ sK1 @ sK8 ) )
| ~ spl5_11 ),
inference(avatar_component_clause,[status(thm)],[f102]) ).
thf(f102,definition,
( spl5_11
<=> ( $true
= ( 'const/sets/EMPTY' @ sK1 @ sK8 ) ) ),
introduced(definition,[new_symbols(naming,[spl5_11])],[avatar_definition]) ).
thf(f105,plain,
( spl5_10
| spl5_11
| spl5_1 ),
inference(avatar_split_clause,[status(thm)],[f95,f50,f102,f98]) ).
thf(f50,definition,
( spl5_1
<=> ( ( sK3 = 'const/sets/EMPTY' ) @ sK1 ) ),
introduced(definition,[new_symbols(naming,[spl5_1])],[avatar_definition]) ).
thf(f95,plain,
( ( $true
= ( sK3 @ sK8 ) )
| ( $true
= ( 'const/sets/EMPTY' @ sK1 @ sK8 ) )
| spl5_1 ),
inference(binary_proxy_clausification,[status(thm)],[f94]) ).
thf(f94,plain,
( ( ( sK3 @ sK8 )
!= ( 'const/sets/EMPTY' @ sK1 @ sK8 ) )
| spl5_1 ),
inference(negative_extensionality,[status(thm)],[f52]) ).
thf(f52,plain,
( ( ( sK3 != 'const/sets/EMPTY' ) @ sK1 )
| spl5_1 ),
inference(avatar_component_clause,[status(thm)],[f50]) ).
thf(f66,plain,
( ~ spl5_2
| spl5_4 ),
inference(avatar_split_clause,[status(thm)],[f39,f63,f54]) ).
thf(f39,plain,
( ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
!= 'const/sets/EMPTY' )
@ sK1 )
| ( $true
= ( 'const/sets/IN' @ ( sK1 > $o ) @ sK3 @ sK2 ) ) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
thf(f28,plain,
( ( ( ( ( sK3 != 'const/sets/EMPTY' ) @ sK1 )
& ( $true
= ( 'const/sets/IN' @ ( sK1 > $o ) @ sK3 @ sK2 ) ) )
| ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
!= 'const/sets/EMPTY' )
@ sK1 ) )
& ( ! [X3: sK1 > $o] :
( ( 'const/sets/EMPTY' @ ( sK1 = X3 ) )
| ( ( 'const/sets/IN' @ ( sK1 > $o ) @ X3 @ sK2 )
!= $true ) )
| ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
= 'const/sets/EMPTY' )
@ sK1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f25,f27,f26]) ).
thf(f26,plain,
( ? [X0: $tType,X1: ( X0 > $o ) > $o] :
( ( ? [X2: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 != X2 ) )
& ( $true
= ( 'const/sets/IN' @ ( X0 > $o ) @ X2 @ X1 ) ) )
| ( 'const/sets/EMPTY'
@ ( X0
!= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) ) )
& ( ! [X3: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 = X3 ) )
| ( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
!= $true ) )
| ( 'const/sets/EMPTY'
@ ( X0
= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) ) ) )
=> ( ( ? [X2: sK1 > $o] :
( ( 'const/sets/EMPTY' @ ( sK1 != X2 ) )
& ( ( 'const/sets/IN' @ ( sK1 > $o ) @ X2 @ sK2 )
= $true ) )
| ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
!= 'const/sets/EMPTY' )
@ sK1 ) )
& ( ! [X3: sK1 > $o] :
( ( 'const/sets/EMPTY' @ ( sK1 = X3 ) )
| ( ( 'const/sets/IN' @ ( sK1 > $o ) @ X3 @ sK2 )
!= $true ) )
| ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
= 'const/sets/EMPTY' )
@ sK1 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f27,plain,
( ? [X2: sK1 > $o] :
( ( 'const/sets/EMPTY' @ ( sK1 != X2 ) )
& ( ( 'const/sets/IN' @ ( sK1 > $o ) @ X2 @ sK2 )
= $true ) )
=> ( ( ( sK3 != 'const/sets/EMPTY' ) @ sK1 )
& ( $true
= ( 'const/sets/IN' @ ( sK1 > $o ) @ sK3 @ sK2 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f25,plain,
? [X0: $tType,X1: ( X0 > $o ) > $o] :
( ( ? [X2: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 != X2 ) )
& ( $true
= ( 'const/sets/IN' @ ( X0 > $o ) @ X2 @ X1 ) ) )
| ( 'const/sets/EMPTY'
@ ( X0
!= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) ) )
& ( ! [X3: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 = X3 ) )
| ( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
!= $true ) )
| ( 'const/sets/EMPTY'
@ ( X0
= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) ) ) ),
inference(rectify,[status(thm)],[f24]) ).
thf(f24,plain,
? [X0: $tType,X1: ( X0 > $o ) > $o] :
( ( ? [X2: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 != X2 ) )
& ( $true
= ( 'const/sets/IN' @ ( X0 > $o ) @ X2 @ X1 ) ) )
| ( 'const/sets/EMPTY'
@ ( X0
!= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) ) )
& ( ! [X2: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 = X2 ) )
| ( $true
!= ( 'const/sets/IN' @ ( X0 > $o ) @ X2 @ X1 ) ) )
| ( 'const/sets/EMPTY'
@ ( X0
= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) ) ) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
? [X0: $tType,X1: ( X0 > $o ) > $o] :
( ( 'const/sets/EMPTY'
@ ( X0
= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) )
<~> ! [X2: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 = X2 ) )
| ( $true
!= ( 'const/sets/IN' @ ( X0 > $o ) @ X2 @ X1 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
~ ! [X0: $tType,X1: ( X0 > $o ) > $o] :
( ! [X2: X0 > $o] :
( ( $true
= ( 'const/sets/IN' @ ( X0 > $o ) @ X2 @ X1 ) )
=> ( 'const/sets/EMPTY' @ ( X0 = X2 ) ) )
<=> ( 'const/sets/EMPTY'
@ ( X0
= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) ) ),
inference(fool_elimination,[status(thm)],[f9]) ).
thf(f9,plain,
~ ! [X0: $tType,X1: ( X0 > $o ) > $o] :
( ( 'const/sets/EMPTY'
@ ( X0
= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) )
= ( ! [X2: X0 > $o] :
( ( 'const/sets/IN' @ ( X0 > $o ) @ X2 @ X1 )
=> ( 'const/sets/EMPTY' @ ( X0 = X2 ) ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,negated_conjecture,
~ ! [X0: $tType,X1: ( X0 > $o ) > $o] :
( ( 'const/sets/EMPTY'
@ ( X0
= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) )
= ( ! [X3: X0 > $o] :
( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
=> ( 'const/sets/EMPTY' @ ( X0 = X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
thf(f6,conjecture,
! [X0: $tType,X1: ( X0 > $o ) > $o] :
( ( 'const/sets/EMPTY'
@ ( X0
= ( 'const/sets/UNIONS' @ X0 @ X1 ) ) )
= ( ! [X3: X0 > $o] :
( ( 'const/sets/IN' @ ( X0 > $o ) @ X3 @ X1 )
=> ( 'const/sets/EMPTY' @ ( X0 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.GtxVaOn9Ae/DTF2THF_5581.p','thm/sets/EMPTY_UNIONS_') ).
thf(f61,plain,
( spl5_2
| spl5_3 ),
inference(avatar_split_clause,[status(thm)],[f38,f59,f54]) ).
thf(f38,plain,
! [X3: sK1 > $o] :
( ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
= 'const/sets/EMPTY' )
@ sK1 )
| ( 'const/sets/EMPTY' @ ( sK1 = X3 ) )
| ( ( 'const/sets/IN' @ ( sK1 > $o ) @ X3 @ sK2 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
thf(f57,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[status(thm)],[f40,f54,f50]) ).
thf(f40,plain,
( ( ( ( 'const/sets/UNIONS' @ sK1 @ sK2 )
!= 'const/sets/EMPTY' )
@ sK1 )
| ( ( sK3 != 'const/sets/EMPTY' ) @ sK1 ) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV461^1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n015.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 12:47:31 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.46 ---- Original DTF file ---
% 0.18/0.46 thf(spec,logic,$$dhol).
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 % File : SEV461^1 : TPTP v9.2.1. Released v7.0.0.
% 0.18/0.46 % Domain : Analysis
% 0.18/0.46 % Problem : EMPTY_UNIONS
% 0.18/0.46 % Version : Especial.
% 0.18/0.46 % English :
% 0.18/0.46
% 0.18/0.46 % Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% 0.18/0.46 % Source : [Kal16]
% 0.18/0.46 % Names : EMPTY_UNIONS_.p [Kal16]
% 0.18/0.46
% 0.18/0.46 % Status : Theorem
% 0.18/0.46 % Rating : 0.00 v7.1.0
% 0.18/0.46 % Syntax : Number of formulae : 10 ( 5 unt; 4 typ; 0 def)
% 0.18/0.46 % Number of atoms : 22 ( 9 equ; 0 cnn)
% 0.18/0.46 % Maximal formula atoms : 2 ( 3 avg)
% 0.18/0.46 % Number of connectives : 37 ( 1 ~; 0 |; 1 &; 34 @)
% 0.18/0.46 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.18/0.46 % Maximal formula depth : 7 ( 4 avg)
% 0.18/0.46 % Number of types : 1 ( 0 usr)
% 0.18/0.46 % Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% 0.18/0.46 % Number of symbols : 5 ( 4 usr; 0 con; 2-3 aty)
% 0.18/0.46 % Number of variables : 22 ( 0 ^; 17 !; 1 ?; 22 :)
% 0.18/0.46 % ( 4 !>; 0 ?*; 0 @-; 0 @+)
% 0.18/0.46 % SPC : TH1_THM_EQU_NAR
% 0.18/0.46
% 0.18/0.46 % Comments : Exported from core HOL Light.
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 thf('thf_const_const/trivia/I',type,
% 0.18/0.46 'const/trivia/I':
% 0.18/0.46 !>[A: $tType] : ( A > A ) ).
% 0.18/0.46
% 0.18/0.46 thf('thf_const_const/sets/UNIONS',type,
% 0.18/0.46 'const/sets/UNIONS':
% 0.18/0.46 !>[A: $tType] : ( ( ( A > $o ) > $o ) > A > $o ) ).
% 0.18/0.46
% 0.18/0.46 thf('thf_const_const/sets/IN',type,
% 0.18/0.46 'const/sets/IN':
% 0.18/0.46 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 0.18/0.46
% 0.18/0.46 thf('thf_const_const/sets/EMPTY',type,
% 0.18/0.46 'const/sets/EMPTY':
% 0.18/0.46 !>[A: $tType] : ( A > $o ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/trivia/I_THM_',axiom,
% 0.18/0.46 ! [A: $tType,A0: A] :
% 0.18/0.46 ( ( 'const/trivia/I' @ A @ A0 )
% 0.18/0.46 = A0 ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/sets/NOT_IN_EMPTY_',axiom,
% 0.18/0.46 ! [A: $tType,A0: A] :
% 0.18/0.46 ~ ( 'const/sets/IN' @ A @ A0 @ ( 'const/sets/EMPTY' @ A ) ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/sets/IN_',axiom,
% 0.18/0.46 ! [A: $tType,P: A > $o,A0: A] :
% 0.18/0.46 ( ( 'const/sets/IN' @ A @ A0 @ P )
% 0.18/0.46 = ( P @ A0 ) ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/sets/IN_UNIONS_',axiom,
% 0.18/0.46 ! [A: $tType,A0: ( A > $o ) > $o,A1: A] :
% 0.18/0.46 ( ( 'const/sets/IN' @ A @ A1 @ ( 'const/sets/UNIONS' @ A @ A0 ) )
% 0.18/0.46 = ( ? [A2: A > $o] :
% 0.18/0.46 ( ( 'const/sets/IN' @ ( A > $o ) @ A2 @ A0 )
% 0.18/0.46 & ( 'const/sets/IN' @ A @ A1 @ A2 ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/sets/EXTENSION_',axiom,
% 0.18/0.46 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 0.18/0.46 ( ( A0 = A1 )
% 0.18/0.46 = ( ! [A2: A] :
% 0.18/0.46 ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 0.18/0.46 = ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf('thm/sets/EMPTY_UNIONS_',conjecture,
% 0.18/0.46 ! [A: $tType,A0: ( A > $o ) > $o] :
% 0.18/0.46 ( ( ( 'const/sets/UNIONS' @ A @ A0 )
% 0.18/0.46 = ( 'const/sets/EMPTY' @ A ) )
% 0.18/0.46 = ( ! [A1: A > $o] :
% 0.18/0.46 ( ( 'const/sets/IN' @ ( A > $o ) @ A1 @ A0 )
% 0.18/0.46 => ( A1
% 0.18/0.46 = ( 'const/sets/EMPTY' @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 ------------------------
% 1.43/1.25 ---- Embedded in THF ---
% 1.43/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.43/1.25 %%% Generated on Tue Feb 24 12:47:32 EST 2026
% 1.43/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.43/1.25 %%% Logic specification used:
% 1.43/1.25 %%% thf(spec, logic, $$dhol).
% 1.43/1.25
% 1.43/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.GtxVaOn9Ae/DTF2DTF5581.p
% See solution above
% 1.43/1.25 ------------------------
% 1.43/1.26 ---- Cleaned THF ---
% 1.43/1.26 thf('thf_const_const/trivia/I',type,
% 1.43/1.26 'const/trivia/I':
% 1.43/1.26 !>[A: $tType] : ( A > A ) ).
% 1.43/1.26
% 1.43/1.26 thf('thf_const_const/sets/UNIONS',type,
% 1.43/1.26 'const/sets/UNIONS':
% 1.43/1.26 !>[A: $tType] : ( ( ( A > $o ) > $o ) > A > $o ) ).
% 1.43/1.26
% 1.43/1.26 thf('thf_const_const/sets/IN',type,
% 1.43/1.26 'const/sets/IN':
% 1.43/1.26 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 1.43/1.26
% 1.43/1.26 thf('thf_const_const/sets/EMPTY',type,
% 1.43/1.26 'const/sets/EMPTY':
% 1.43/1.26 !>[A: $tType] : ( A > $o ) ).
% 1.43/1.26
% 1.43/1.26 thf('thm/trivia/I_THM_',axiom,
% 1.43/1.26 ! [A: $tType,A0: A] :
% 1.43/1.26 ( ( 'const/trivia/I' @ A @ A0 )
% 1.43/1.26 = A0 ) ).
% 1.43/1.26
% 1.43/1.26 thf('thm/sets/NOT_IN_EMPTY_',axiom,
% 1.43/1.26 ! [A: $tType,A0: A] :
% 1.43/1.26 ~ ( 'const/sets/IN' @ A @ A0 @ ( 'const/sets/EMPTY' @ A ) ) ).
% 1.43/1.26
% 1.43/1.26 thf('thm/sets/IN_',axiom,
% 1.43/1.26 ! [A: $tType,P: A > $o,A0: A] :
% 1.43/1.26 ( ( 'const/sets/IN' @ A @ A0 @ P )
% 1.43/1.26 = ( P @ A0 ) ) ).
% 1.43/1.26
% 1.43/1.26 thf('thm/sets/IN_UNIONS_',axiom,
% 1.43/1.26 ! [A: $tType,A0: ( A > $o ) > $o,A1: A] :
% 1.43/1.26 ( ( 'const/sets/IN' @ A @ A1 @ ( 'const/sets/UNIONS' @ A @ A0 ) )
% 1.43/1.26 = ( ? [A2: A > $o] :
% 1.43/1.26 ( ( 'const/sets/IN' @ ( A > $o ) @ A2 @ A0 )
% 1.43/1.26 & ( 'const/sets/IN' @ A @ A1 @ A2 ) ) ) ) ).
% 1.43/1.26
% 1.43/1.26 thf('thm/sets/EXTENSION_',axiom,
% 1.43/1.26 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 1.43/1.26 ( ( A0 = A1 )
% 1.43/1.26 = ( ! [A2: A] :
% 1.43/1.26 ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 1.43/1.26 = ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ) ).
% 1.43/1.26
% 1.43/1.26 thf('thm/sets/EMPTY_UNIONS_',conjecture,
% 1.43/1.26 ! [A: $tType,A0: ( A > $o ) > $o] :
% 1.43/1.26 ( ( ( 'const/sets/UNIONS' @ A @ A0 )
% 1.43/1.26 = ( 'const/sets/EMPTY' @ A ) )
% 1.43/1.26 = ( ! [A1: A > $o] :
% 1.43/1.26 ( ( 'const/sets/IN' @ ( A > $o ) @ A1 @ A0 )
% 1.43/1.26 => ( A1
% 1.43/1.26 = ( 'const/sets/EMPTY' @ A ) ) ) ) ) ).
% 1.43/1.26 ------------------------
% 1.43/1.27 % (5720)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_5581 for (3000ds/183Mi)
% 1.43/1.27 % (5722)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_5581 for (3000ds/27Mi)
% 1.43/1.28 % (5725)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_5581 for (3000ds/275Mi)
% 1.43/1.28 % (5723)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5581 for (3000ds/2Mi)
% 1.43/1.28 % (5724)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_5581 for (3000ds/2Mi)
% 1.43/1.28 % (5726)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_5581 for (3000ds/18Mi)
% 1.43/1.28 % Exception at run slice level
% 1.43/1.28 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.43/1.28 % (5723)Instruction limit reached!
% 1.43/1.28 % (5723)------------------------------
% 1.43/1.28 % (5723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.43/1.28 % (5723)Termination reason: Unknown
% 1.43/1.28 % (5723)Termination phase: Saturation
% 1.43/1.28
% 1.43/1.28 % (5723)Memory used [KB]: 5500
% 1.43/1.28 % (5723)Time elapsed: 0.003 s
% 1.43/1.28 % (5723)Instructions burned: 3 (million)
% 1.43/1.28 % (5723)------------------------------
% 1.43/1.28 % (5723)------------------------------
% 1.43/1.28 % (5722)Instruction limit reached!
% 1.43/1.28 % (5722)------------------------------
% 1.43/1.28 % (5722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.43/1.28 % (5722)Termination reason: Unknown
% 1.43/1.28 % (5722)Termination phase: Saturation
% 1.43/1.28
% 1.43/1.28 % (5722)Memory used [KB]: 5628
% 1.43/1.28 % (5722)Time elapsed: 0.011 s
% 1.43/1.28 % (5722)Instructions burned: 27 (million)
% 1.43/1.28 % (5722)------------------------------
% 1.43/1.28 % (5722)------------------------------
% 1.43/1.29 % (5721)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_5581 for (3000ds/4Mi)
% 1.43/1.29 % (5726)Instruction limit reached!
% 1.43/1.29 % (5726)------------------------------
% 1.43/1.29 % (5726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.43/1.29 % (5726)Termination reason: Unknown
% 1.43/1.29 % (5726)Termination phase: Saturation
% 1.43/1.29
% 1.43/1.29 % (5726)Memory used [KB]: 5628
% 1.43/1.29 % (5726)Time elapsed: 0.012 s
% 1.43/1.29 % (5726)Instructions burned: 18 (million)
% 1.43/1.29 % (5726)------------------------------
% 1.43/1.29 % (5726)------------------------------
% 1.43/1.29 % (5721)Instruction limit reached!
% 1.43/1.29 % (5721)------------------------------
% 1.43/1.29 % (5721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.43/1.29 % (5721)Termination reason: Unknown
% 1.43/1.29 % (5721)Termination phase: Saturation
% 1.43/1.29
% 1.43/1.29 % (5721)Memory used [KB]: 5500
% 1.43/1.29 % (5721)Time elapsed: 0.004 s
% 1.43/1.29 % (5721)Instructions burned: 5 (million)
% 1.43/1.29 % (5721)------------------------------
% 1.43/1.29 % (5721)------------------------------
% 1.43/1.29 % (5728)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_5581 for (2999ds/37Mi)
% 1.43/1.29 % Exception at run slice level
% 1.43/1.29 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.43/1.29 % (5725)Refutation not found, incomplete strategy
% 1.43/1.29 % (5725)------------------------------
% 1.43/1.29 % (5725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.43/1.29 % (5725)Termination reason: Refutation not found, incomplete strategy
% 1.43/1.29
% 1.43/1.29
% 1.43/1.29 % (5725)Memory used [KB]: 5628
% 1.43/1.29 % (5725)Time elapsed: 0.015 s
% 1.43/1.29 % (5725)Instructions burned: 24 (million)
% 1.43/1.29 % (5725)------------------------------
% 1.43/1.29 % (5725)------------------------------
% 1.53/1.30 % (5727)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/3Mi)
% 1.53/1.30 % (5727)Instruction limit reached!
% 1.53/1.30 % (5727)------------------------------
% 1.53/1.30 % (5727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.30 % (5727)Termination reason: Unknown
% 1.53/1.30 % (5727)Termination phase: Saturation
% 1.53/1.30
% 1.53/1.30 % (5727)Memory used [KB]: 5500
% 1.53/1.30 % (5727)Time elapsed: 0.003 s
% 1.53/1.30 % (5727)Instructions burned: 3 (million)
% 1.53/1.30 % (5727)------------------------------
% 1.53/1.30 % (5727)------------------------------
% 1.53/1.30 % (5732)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/7Mi)
% 1.53/1.31 % (5732)Instruction limit reached!
% 1.53/1.31 % (5732)------------------------------
% 1.53/1.31 % (5732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.31 % (5732)Termination reason: Unknown
% 1.53/1.31 % (5732)Termination phase: Saturation
% 1.53/1.31
% 1.53/1.31 % (5732)Memory used [KB]: 1023
% 1.53/1.31 % (5732)Time elapsed: 0.004 s
% 1.53/1.31 % (5732)Instructions burned: 9 (million)
% 1.53/1.31 % (5732)------------------------------
% 1.53/1.31 % (5732)------------------------------
% 1.53/1.31 % (5729)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_5581 for (2999ds/15Mi)
% 1.53/1.31 % (5731)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_5581 for (2999ds/1041Mi)
% 1.53/1.31 % (5734)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_5581 for (2999ds/3Mi)
% 1.53/1.31 % Exception at run slice level
% 1.53/1.31 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.31 % (5734)Instruction limit reached!
% 1.53/1.31 % (5734)------------------------------
% 1.53/1.31 % (5734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.31 % (5734)Termination reason: Unknown
% 1.53/1.31 % (5734)Termination phase: Saturation
% 1.53/1.31
% 1.53/1.31 % (5734)Memory used [KB]: 5500
% 1.53/1.31 % (5734)Time elapsed: 0.002 s
% 1.53/1.31 % (5734)Instructions burned: 3 (million)
% 1.53/1.31 % (5734)------------------------------
% 1.53/1.31 % (5734)------------------------------
% 1.53/1.31 % (5730)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_5581 for (2999ds/3Mi)
% 1.53/1.31 % (5730)Instruction limit reached!
% 1.53/1.31 % (5730)------------------------------
% 1.53/1.31 % (5730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.31 % (5730)Termination reason: Unknown
% 1.53/1.31 % (5730)Termination phase: Saturation
% 1.53/1.31
% 1.53/1.31 % (5730)Memory used [KB]: 5500
% 1.53/1.31 % (5730)Time elapsed: 0.003 s
% 1.53/1.31 % (5730)Instructions burned: 3 (million)
% 1.53/1.31 % (5730)------------------------------
% 1.53/1.31 % (5730)------------------------------
% 1.53/1.31 % (5733)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/16Mi)
% 1.53/1.31 % (5729)Instruction limit reached!
% 1.53/1.31 % (5729)------------------------------
% 1.53/1.31 % (5729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.31 % (5729)Termination reason: Unknown
% 1.53/1.31 % (5729)Termination phase: Saturation
% 1.53/1.31
% 1.53/1.31 % (5729)Memory used [KB]: 5628
% 1.53/1.31 % (5729)Time elapsed: 0.010 s
% 1.53/1.31 % (5729)Instructions burned: 15 (million)
% 1.53/1.31 % (5729)------------------------------
% 1.53/1.31 % (5729)------------------------------
% 1.53/1.31 % (5735)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_5581 for (2999ds/3Mi)
% 1.53/1.32 % (5735)Instruction limit reached!
% 1.53/1.32 % (5735)------------------------------
% 1.53/1.32 % (5735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.32 % (5735)Termination reason: Unknown
% 1.53/1.32 % (5735)Termination phase: Saturation
% 1.53/1.32
% 1.53/1.32 % (5735)Memory used [KB]: 1023
% 1.53/1.32 % (5735)Time elapsed: 0.002 s
% 1.53/1.32 % (5735)Instructions burned: 4 (million)
% 1.53/1.32 % (5735)------------------------------
% 1.53/1.32 % (5735)------------------------------
% 1.53/1.32 % (5737)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/3Mi)
% 1.53/1.32 % Exception at run slice level
% 1.53/1.32 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.32 % (5733)Instruction limit reached!
% 1.53/1.32 % (5733)------------------------------
% 1.53/1.32 % (5733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.32 % (5733)Termination reason: Unknown
% 1.53/1.32 % (5733)Termination phase: Saturation
% 1.53/1.32
% 1.53/1.32 % (5733)Memory used [KB]: 5628
% 1.53/1.32 % (5733)Time elapsed: 0.010 s
% 1.53/1.32 % (5733)Instructions burned: 16 (million)
% 1.53/1.32 % (5733)------------------------------
% 1.53/1.32 % (5733)------------------------------
% 1.53/1.32 % (5736)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/7Mi)
% 1.53/1.32 % (5738)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/4Mi)
% 1.53/1.33 % (5738)Instruction limit reached!
% 1.53/1.33 % (5738)------------------------------
% 1.53/1.33 % (5738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.33 % (5738)Termination reason: Unknown
% 1.53/1.33 % (5738)Termination phase: Saturation
% 1.53/1.33
% 1.53/1.33 % (5738)Memory used [KB]: 5500
% 1.53/1.33 % (5738)Time elapsed: 0.002 s
% 1.53/1.33 % (5738)Instructions burned: 4 (million)
% 1.53/1.33 % (5738)------------------------------
% 1.53/1.33 % (5738)------------------------------
% 1.53/1.33 % (5741)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/6Mi)
% 1.53/1.33 % (5736)Instruction limit reached!
% 1.53/1.33 % (5736)------------------------------
% 1.53/1.33 % (5736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.33 % (5736)Termination reason: Unknown
% 1.53/1.33 % (5736)Termination phase: Saturation
% 1.53/1.33
% 1.53/1.33 % (5736)Memory used [KB]: 5500
% 1.53/1.33 % (5736)Time elapsed: 0.006 s
% 1.53/1.33 % (5736)Instructions burned: 8 (million)
% 1.53/1.33 % (5736)------------------------------
% 1.53/1.33 % (5736)------------------------------
% 1.53/1.33 % (5741)Instruction limit reached!
% 1.53/1.33 % (5741)------------------------------
% 1.53/1.33 % (5741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.33 % (5741)Termination reason: Unknown
% 1.53/1.33 % (5741)Termination phase: Saturation
% 1.53/1.33
% 1.53/1.33 % (5741)Memory used [KB]: 5500
% 1.53/1.33 % (5741)Time elapsed: 0.003 s
% 1.53/1.33 % (5741)Instructions burned: 6 (million)
% 1.53/1.33 % (5741)------------------------------
% 1.53/1.33 % (5741)------------------------------
% 1.53/1.33 % (5739)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/18Mi)
% 1.53/1.33 % (5740)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/710Mi)
% 1.53/1.34 % (5743)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_5581 for (2999ds/21Mi)
% 1.53/1.34 % (5742)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_5581 for (2999ds/902Mi)
% 1.53/1.34 % (5745)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_5581 for (2999ds/6Mi)
% 1.53/1.34 % Exception at run slice level
% 1.53/1.34 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.34 % (5739)Instruction limit reached!
% 1.53/1.34 % (5739)------------------------------
% 1.53/1.34 % (5739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.34 % (5739)Termination reason: Unknown
% 1.53/1.34 % (5739)Termination phase: Saturation
% 1.53/1.34
% 1.53/1.34 % (5739)Memory used [KB]: 5628
% 1.53/1.34 % (5739)Time elapsed: 0.012 s
% 1.53/1.34 % (5739)Instructions burned: 19 (million)
% 1.53/1.34 % (5739)------------------------------
% 1.53/1.34 % (5739)------------------------------
% 1.53/1.34 % (5743)Instruction limit reached!
% 1.53/1.34 % (5743)------------------------------
% 1.53/1.34 % (5743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.34 % (5743)Termination reason: Unknown
% 1.53/1.34 % (5743)Termination phase: Saturation
% 1.53/1.34
% 1.53/1.34 % (5743)Memory used [KB]: 5628
% 1.53/1.34 % (5743)Time elapsed: 0.009 s
% 1.53/1.34 % (5743)Instructions burned: 23 (million)
% 1.53/1.34 % (5743)------------------------------
% 1.53/1.34 % (5743)------------------------------
% 1.53/1.34 % (5744)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/5Mi)
% 1.53/1.35 % Exception at run slice level
% 1.53/1.35 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.35 % (5746)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/377Mi)
% 1.53/1.35 % (5748)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_5581 for (2999ds/19Mi)
% 1.53/1.35 % Exception at run slice level
% 1.53/1.35 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.36 % (5747)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_5581 for (2999ds/779Mi)
% 1.53/1.36 % Exception at run slice level
% 1.53/1.36 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.36 % (5720)Instruction limit reached!
% 1.53/1.36 % (5720)------------------------------
% 1.53/1.36 % (5720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.36 % (5720)Termination reason: Unknown
% 1.53/1.36 % (5720)Termination phase: Saturation
% 1.53/1.36
% 1.53/1.36 % (5720)Memory used [KB]: 7036
% 1.53/1.36 % (5720)Time elapsed: 0.086 s
% 1.53/1.36 % (5720)Instructions burned: 183 (million)
% 1.53/1.36 % (5720)------------------------------
% 1.53/1.36 % (5720)------------------------------
% 1.53/1.36 % (5749)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/879Mi)
% 1.53/1.36 % (5750)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/17Mi)
% 1.53/1.37 % (5750)Instruction limit reached!
% 1.53/1.37 % (5750)------------------------------
% 1.53/1.37 % (5750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.37 % (5750)Termination reason: Unknown
% 1.53/1.37 % (5750)Termination phase: Saturation
% 1.53/1.37
% 1.53/1.37 % (5750)Memory used [KB]: 5628
% 1.53/1.37 % (5750)Time elapsed: 0.030 s
% 1.53/1.37 % (5750)Instructions burned: 17 (million)
% 1.53/1.37 % (5750)------------------------------
% 1.53/1.37 % (5750)------------------------------
% 1.53/1.37 % (5752)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/30Mi)
% 1.53/1.38 % (5751)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_5581 for (2999ds/3Mi)
% 1.53/1.38 % (5751)Instruction limit reached!
% 1.53/1.38 % (5751)------------------------------
% 1.53/1.38 % (5751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.38 % (5751)Termination reason: Unknown
% 1.53/1.38 % (5751)Termination phase: Property scanning
% 1.53/1.38
% 1.53/1.38 % (5751)Memory used [KB]: 1023
% 1.53/1.38 % (5751)Time elapsed: 0.003 s
% 1.53/1.38 % (5751)Instructions burned: 3 (million)
% 1.53/1.38 % (5751)------------------------------
% 1.53/1.38 % (5751)------------------------------
% 1.53/1.38 % (5753)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_5581 for (2998ds/127Mi)
% 1.53/1.39 % (5752)Instruction limit reached!
% 1.53/1.39 % (5752)------------------------------
% 1.53/1.39 % (5752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.39 % (5752)Termination reason: Unknown
% 1.53/1.39 % (5752)Termination phase: Saturation
% 1.53/1.39
% 1.53/1.39 % (5752)Memory used [KB]: 5628
% 1.53/1.39 % (5752)Time elapsed: 0.017 s
% 1.53/1.39 % (5752)Instructions burned: 30 (million)
% 1.53/1.39 % (5752)------------------------------
% 1.53/1.39 % (5752)------------------------------
% 1.53/1.39 % (5754)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_5581 for (2998ds/100Mi)
% 1.53/1.41 % (5755)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_5581 for (2998ds/3Mi)
% 1.53/1.41 % Exception at run slice level
% 1.53/1.41 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.42 % (5753)Instruction limit reached!
% 1.53/1.42 % (5753)------------------------------
% 1.53/1.42 % (5753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.42 % (5753)Termination reason: Unknown
% 1.53/1.42 % (5753)Termination phase: Saturation
% 1.53/1.42
% 1.53/1.42 % (5753)Memory used [KB]: 6268
% 1.53/1.42 % (5753)Time elapsed: 0.044 s
% 1.53/1.42 % (5753)Instructions burned: 129 (million)
% 1.53/1.42 % (5753)------------------------------
% 1.53/1.42 % (5753)------------------------------
% 1.53/1.43 % (5757)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_5581 for (2998ds/86Mi)
% 1.53/1.43 % (5756)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_5581 for (2998ds/20Mi)
% 1.53/1.44 % (5756)Instruction limit reached!
% 1.53/1.44 % (5756)------------------------------
% 1.53/1.44 % (5756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.44 % (5756)Termination reason: Unknown
% 1.53/1.44 % (5756)Termination phase: Saturation
% 1.53/1.44
% 1.53/1.44 % (5756)Memory used [KB]: 5628
% 1.53/1.44 % (5756)Time elapsed: 0.013 s
% 1.53/1.44 % (5756)Instructions burned: 21 (million)
% 1.53/1.44 % (5756)------------------------------
% 1.53/1.44 % (5756)------------------------------
% 1.53/1.45 % (5754)Instruction limit reached!
% 1.53/1.45 % (5754)------------------------------
% 1.53/1.45 % (5754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.45 % (5754)Termination reason: Unknown
% 1.53/1.45 % (5754)Termination phase: Saturation
% 1.53/1.45
% 1.53/1.45 % (5754)Memory used [KB]: 5884
% 1.53/1.45 % (5754)Time elapsed: 0.054 s
% 1.53/1.45 % (5754)Instructions burned: 101 (million)
% 1.53/1.45 % (5754)------------------------------
% 1.53/1.45 % (5754)------------------------------
% 1.53/1.46 % (5757)Instruction limit reached!
% 1.53/1.46 % (5757)------------------------------
% 1.53/1.46 % (5757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.46 % (5757)Termination reason: Unknown
% 1.53/1.46 % (5757)Termination phase: Saturation
% 1.53/1.46
% 1.53/1.46 % (5757)Memory used [KB]: 6396
% 1.53/1.46 % (5757)Time elapsed: 0.031 s
% 1.53/1.46 % (5757)Instructions burned: 88 (million)
% 1.53/1.46 % (5757)------------------------------
% 1.53/1.46 % (5757)------------------------------
% 1.53/1.46 % (5759)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_5581 for (2998ds/39Mi)
% 1.53/1.46 % Exception at run slice level
% 1.53/1.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.46 % (5758)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_5581 for (2998ds/107Mi)
% 1.53/1.47 % (5760)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_5581 for (2998ds/448Mi)
% 1.53/1.47 % Exception at run slice level
% 1.53/1.47 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.47 % (5746)Refutation not found, non-redundant clauses discarded% (5746)------------------------------
% 1.53/1.47 % (5746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.47 % (5746)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.53/1.47
% 1.53/1.47 % (5746)Memory used [KB]: 6396
% 1.53/1.47 % (5746)Time elapsed: 0.147 s
% 1.53/1.47 % (5746)Instructions burned: 373 (million)
% 1.53/1.47 % (5746)------------------------------
% 1.53/1.47 % (5746)------------------------------
% 1.53/1.48 % (5762)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_5581 for (2997ds/98Mi)
% 1.53/1.48 % Exception at run slice level
% 1.53/1.48 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.48 % (5761)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_5581 for (2998ds/46Mi)
% 1.53/1.48 % (5763)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_5581 for (2997ds/507Mi)
% 1.53/1.49 % (5763)Refutation not found, incomplete strategy
% 1.53/1.49 % (5763)------------------------------
% 1.53/1.49 % (5763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.49 % (5763)Termination reason: Refutation not found, incomplete strategy
% 1.53/1.49
% 1.53/1.49
% 1.53/1.49 % (5763)Memory used [KB]: 5628
% 1.53/1.49 % (5763)Time elapsed: 0.005 s
% 1.53/1.49 % (5763)Instructions burned: 9 (million)
% 1.53/1.49 % (5763)------------------------------
% 1.53/1.49 % (5763)------------------------------
% 1.53/1.49 % (5764)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_5581 for (2997ds/149Mi)
% 1.53/1.50 % (5765)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_5581 for (2997ds/39Mi)
% 1.53/1.50 % (5761)Instruction limit reached!
% 1.53/1.50 % (5761)------------------------------
% 1.53/1.50 % (5761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.50 % (5761)Termination reason: Unknown
% 1.53/1.50 % (5761)Termination phase: Saturation
% 1.53/1.50
% 1.53/1.50 % (5761)Memory used [KB]: 5628
% 1.53/1.50 % (5761)Time elapsed: 0.026 s
% 1.53/1.50 % (5761)Instructions burned: 46 (million)
% 1.53/1.50 % (5761)------------------------------
% 1.53/1.50 % (5761)------------------------------
% 1.53/1.51 % (5765)Instruction limit reached!
% 1.53/1.51 % (5765)------------------------------
% 1.53/1.51 % (5765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.51 % (5765)Termination reason: Unknown
% 1.53/1.51 % (5765)Termination phase: Saturation
% 1.53/1.51
% 1.53/1.51 % (5765)Memory used [KB]: 5756
% 1.53/1.51 % (5765)Time elapsed: 0.015 s
% 1.53/1.51 % (5765)Instructions burned: 39 (million)
% 1.53/1.51 % (5765)------------------------------
% 1.53/1.51 % (5765)------------------------------
% 1.53/1.52 % (5758)Instruction limit reached!
% 1.53/1.52 % (5758)------------------------------
% 1.53/1.52 % (5758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.52 % (5758)Termination reason: Unknown
% 1.53/1.52 % (5758)Termination phase: Saturation
% 1.53/1.52
% 1.53/1.52 % (5758)Memory used [KB]: 5884
% 1.53/1.52 % (5758)Time elapsed: 0.056 s
% 1.53/1.52 % (5758)Instructions burned: 108 (million)
% 1.53/1.52 % (5758)------------------------------
% 1.53/1.52 % (5758)------------------------------
% 1.53/1.52 % (5766)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_5581 for (2997ds/6Mi)
% 1.53/1.52 % (5767)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_5581 for (2997ds/1087Mi)
% 1.53/1.52 % Exception at run slice level
% 1.53/1.52 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.53 % (5768)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_5581 for (2997ds/47Mi)
% 1.53/1.54 % (5769)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_5581 for (2997ds/44Mi)
% 1.53/1.54 % Exception at run slice level
% 1.53/1.54 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.56 % (5768)Instruction limit reached!
% 1.53/1.56 % (5768)------------------------------
% 1.53/1.56 % (5768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.56 % (5768)Termination reason: Unknown
% 1.53/1.56 % (5768)Termination phase: Saturation
% 1.53/1.56
% 1.53/1.56 % (5768)Memory used [KB]: 5756
% 1.53/1.56 % (5768)Time elapsed: 0.024 s
% 1.53/1.56 % (5768)Instructions burned: 47 (million)
% 1.53/1.56 % (5768)------------------------------
% 1.53/1.56 % (5768)------------------------------
% 1.53/1.56 % (5770)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_5581 for (2997ds/432Mi)
% 1.53/1.56 % Exception at run slice level
% 1.53/1.56 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.56 % (5764)Instruction limit reached!
% 1.53/1.56 % (5764)------------------------------
% 1.53/1.56 % (5764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.56 % (5764)Termination reason: Unknown
% 1.53/1.56 % (5764)Termination phase: Saturation
% 1.53/1.56
% 1.53/1.56 % (5764)Memory used [KB]: 5884
% 1.53/1.56 % (5764)Time elapsed: 0.073 s
% 1.53/1.56 % (5764)Instructions burned: 149 (million)
% 1.53/1.56 % (5764)------------------------------
% 1.53/1.56 % (5764)------------------------------
% 1.53/1.56 % (5771)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_5581 for (2997ds/62Mi)
% 1.53/1.56 % Exception at run slice level
% 1.53/1.56 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.57 % (5774)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_5581 for (2997ds/453Mi)
% 1.53/1.57 % Exception at run slice level
% 1.53/1.57 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.58 % (5772)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_5581 for (2997ds/31Mi)
% 1.53/1.58 % (5773)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_5581 for (2997ds/96Mi)
% 1.53/1.58 % (5775)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_5581 for (2996ds/71Mi)
% 1.53/1.59 % (5772)Instruction limit reached!
% 1.53/1.59 % (5772)------------------------------
% 1.53/1.59 % (5772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.59 % (5772)Termination reason: Unknown
% 1.53/1.59 % (5772)Termination phase: Saturation
% 1.53/1.59
% 1.53/1.59 % (5772)Memory used [KB]: 5628
% 1.53/1.59 % (5772)Time elapsed: 0.018 s
% 1.53/1.59 % (5772)Instructions burned: 31 (million)
% 1.53/1.59 % (5772)------------------------------
% 1.53/1.59 % (5772)------------------------------
% 1.53/1.61 % (5775)Instruction limit reached!
% 1.53/1.61 % (5775)------------------------------
% 1.53/1.61 % (5775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.61 % (5775)Termination reason: Unknown
% 1.53/1.61 % (5775)Termination phase: Saturation
% 1.53/1.61
% 1.53/1.61 % (5775)Memory used [KB]: 5756
% 1.53/1.61 % (5775)Time elapsed: 0.024 s
% 1.53/1.61 % (5775)Instructions burned: 71 (million)
% 1.53/1.61 % (5775)------------------------------
% 1.53/1.61 % (5775)------------------------------
% 1.53/1.61 % (5776)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_5581 for (2996ds/83Mi)
% 1.53/1.62 % (5777)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_5581 for (2996ds/11Mi)
% 1.53/1.62 % Exception at run slice level
% 1.53/1.62 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.63 % (5778)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_5581 for (2996ds/41Mi)
% 1.53/1.63 % Exception at run slice level
% 1.53/1.63 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.63 % (5773)Instruction limit reached!
% 1.53/1.63 % (5773)------------------------------
% 1.53/1.63 % (5773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.63 % (5773)Termination reason: Unknown
% 1.53/1.63 % (5773)Termination phase: Saturation
% 1.53/1.63
% 1.53/1.63 % (5773)Memory used [KB]: 5884
% 1.53/1.63 % (5773)Time elapsed: 0.054 s
% 1.53/1.63 % (5773)Instructions burned: 96 (million)
% 1.53/1.63 % (5773)------------------------------
% 1.53/1.63 % (5773)------------------------------
% 1.53/1.64 % (5779)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5581 for (2996ds/6Mi)
% 1.53/1.64 % (5779)Instruction limit reached!
% 1.53/1.64 % (5779)------------------------------
% 1.53/1.64 % (5779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.64 % (5779)Termination reason: Unknown
% 1.53/1.64 % (5779)Termination phase: Saturation
% 1.53/1.64
% 1.53/1.64 % (5779)Memory used [KB]: 5500
% 1.53/1.64 % (5779)Time elapsed: 0.003 s
% 1.53/1.64 % (5779)Instructions burned: 6 (million)
% 1.53/1.64 % (5779)------------------------------
% 1.53/1.64 % (5779)------------------------------
% 1.53/1.65 % (5780)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_5581 for (2996ds/150Mi)
% 1.53/1.65 % (5776)Instruction limit reached!
% 1.53/1.65 % (5776)------------------------------
% 1.53/1.65 % (5776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.65 % (5776)Termination reason: Unknown
% 1.53/1.65 % (5776)Termination phase: Saturation
% 1.53/1.65
% 1.53/1.65 % (5776)Memory used [KB]: 6140
% 1.53/1.65 % (5776)Time elapsed: 0.047 s
% 1.53/1.65 % (5776)Instructions burned: 83 (million)
% 1.53/1.65 % (5776)------------------------------
% 1.53/1.65 % (5776)------------------------------
% 1.53/1.66 % (5781)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_5581 for (2996ds/343Mi)
% 1.53/1.67 % (5782)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_5581 for (2996ds/109Mi)
% 1.53/1.69 % (5780)Instruction limit reached!
% 1.53/1.69 % (5780)------------------------------
% 1.53/1.69 % (5780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.69 % (5780)Termination reason: Unknown
% 1.53/1.69 % (5780)Termination phase: Saturation
% 1.53/1.69
% 1.53/1.69 % (5780)Memory used [KB]: 6140
% 1.53/1.69 % (5780)Time elapsed: 0.074 s
% 1.53/1.69 % (5780)Instructions burned: 150 (million)
% 1.53/1.69 % (5780)------------------------------
% 1.53/1.69 % (5780)------------------------------
% 1.53/1.70 % (5740)Instruction limit reached!
% 1.53/1.70 % (5740)------------------------------
% 1.53/1.70 % (5740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.70 % (5740)Termination reason: Unknown
% 1.53/1.70 % (5740)Termination phase: Saturation
% 1.53/1.70
% 1.53/1.70 % (5740)Memory used [KB]: 6908
% 1.53/1.70 % (5740)Time elapsed: 0.368 s
% 1.53/1.70 % (5740)Instructions burned: 710 (million)
% 1.53/1.70 % (5740)------------------------------
% 1.53/1.70 % (5740)------------------------------
% 1.53/1.70 % (5783)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_5581 for (2995ds/253Mi)
% 1.53/1.72 % (5784)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_5581 for (2995ds/140Mi)
% 1.53/1.73 % (5782)Instruction limit reached!
% 1.53/1.73 % (5782)------------------------------
% 1.53/1.73 % (5782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.73 % (5782)Termination reason: Unknown
% 1.53/1.73 % (5782)Termination phase: Saturation
% 1.53/1.73
% 1.53/1.73 % (5782)Memory used [KB]: 6012
% 1.53/1.73 % (5782)Time elapsed: 0.080 s
% 1.53/1.73 % (5782)Instructions burned: 109 (million)
% 1.53/1.73 % (5782)------------------------------
% 1.53/1.73 % (5782)------------------------------
% 1.53/1.75 % (5785)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_5581 for (2995ds/614Mi)
% 1.53/1.76 % (5742)Instruction limit reached!
% 1.53/1.76 % (5742)------------------------------
% 1.53/1.76 % (5742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.76 % (5742)Termination reason: Unknown
% 1.53/1.76 % (5742)Termination phase: Saturation
% 1.53/1.76
% 1.53/1.76 % (5742)Memory used [KB]: 7036
% 1.53/1.76 % (5742)Time elapsed: 0.429 s
% 1.53/1.76 % (5742)Instructions burned: 903 (million)
% 1.53/1.76 % (5742)------------------------------
% 1.53/1.76 % (5742)------------------------------
% 1.53/1.76 % (5749)Instruction limit reached!
% 1.53/1.76 % (5749)------------------------------
% 1.53/1.76 % (5749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.76 % (5749)Termination reason: Unknown
% 1.53/1.76 % (5749)Termination phase: Saturation
% 1.53/1.76
% 1.53/1.76 % (5749)Memory used [KB]: 6396
% 1.53/1.76 % (5749)Time elapsed: 0.427 s
% 1.53/1.76 % (5749)Instructions burned: 880 (million)
% 1.53/1.76 % (5749)------------------------------
% 1.53/1.76 % (5749)------------------------------
% 1.53/1.77 % (5781)Instruction limit reached!
% 1.53/1.77 % (5781)------------------------------
% 1.53/1.77 % (5781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.77 % (5781)Termination reason: Unknown
% 1.53/1.77 % (5781)Termination phase: Saturation
% 1.53/1.77
% 1.53/1.77 % (5781)Memory used [KB]: 6140
% 1.53/1.77 % (5781)Time elapsed: 0.134 s
% 1.53/1.77 % (5781)Instructions burned: 344 (million)
% 1.53/1.77 % (5781)------------------------------
% 1.53/1.77 % (5781)------------------------------
% 1.53/1.78 % (5788)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_5581 for (2994ds/283Mi)
% 1.53/1.78 % Exception at run slice level
% 1.53/1.78 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.78 % (5786)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_5581 for (2995ds/202Mi)
% 1.53/1.78 % (5784)Instruction limit reached!
% 1.53/1.78 % (5784)------------------------------
% 1.53/1.78 % (5784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.78 % (5784)Termination reason: Unknown
% 1.53/1.78 % (5784)Termination phase: Saturation
% 1.53/1.78
% 1.53/1.78 % (5784)Memory used [KB]: 6012
% 1.53/1.78 % (5784)Time elapsed: 0.086 s
% 1.53/1.78 % (5784)Instructions burned: 140 (million)
% 1.53/1.78 % (5787)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_5581 for (2995ds/339Mi)
% 1.53/1.78 % (5784)------------------------------
% 1.53/1.78 % (5784)------------------------------
% 1.53/1.79 % (5783)Instruction limit reached!
% 1.53/1.79 % (5783)------------------------------
% 1.53/1.79 % (5783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.79 % (5783)Termination reason: Unknown
% 1.53/1.79 % (5783)Termination phase: Saturation
% 1.53/1.79
% 1.53/1.79 % (5783)Memory used [KB]: 6268
% 1.53/1.79 % (5783)Time elapsed: 0.082 s
% 1.53/1.79 % (5783)Instructions burned: 254 (million)
% 1.53/1.79 % (5783)------------------------------
% 1.53/1.79 % (5783)------------------------------
% 1.53/1.79 % (5789)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_5581 for (2994ds/134Mi)
% 1.53/1.79 % (5791)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_5581 for (2994ds/192Mi)
% 1.53/1.79 % (5786)Refutation not found, incomplete strategy
% 1.53/1.79 % (5786)------------------------------
% 1.53/1.79 % (5786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.79 % (5786)Termination reason: Refutation not found, incomplete strategy
% 1.53/1.79
% 1.53/1.79
% 1.53/1.79 % (5786)Memory used [KB]: 5756
% 1.53/1.79 % (5786)Time elapsed: 0.017 s
% 1.53/1.79 % (5786)Instructions burned: 25 (million)
% 1.53/1.79 % (5786)------------------------------
% 1.53/1.79 % (5786)------------------------------
% 1.53/1.80 % (5790)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_5581 for (2994ds/298Mi)
% 1.53/1.80 % Exception at run slice level
% 1.53/1.80 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.81 % (5792)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_5581 for (2994ds/258Mi)
% 1.53/1.81 % (5793)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_5581 for (2994ds/90Mi)
% 1.53/1.83 % (5789)Instruction limit reached!
% 1.53/1.83 % (5789)------------------------------
% 1.53/1.83 % (5789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.83 % (5789)Termination reason: Unknown
% 1.53/1.83 % (5789)Termination phase: Saturation
% 1.53/1.83
% 1.53/1.83 % (5789)Memory used [KB]: 6140
% 1.53/1.83 % (5789)Time elapsed: 0.044 s
% 1.53/1.83 % (5789)Instructions burned: 136 (million)
% 1.53/1.83 % (5789)------------------------------
% 1.53/1.83 % (5789)------------------------------
% 1.53/1.84 % (5794)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_5581 for (2994ds/231Mi)
% 1.53/1.84 % Exception at run slice level
% 1.53/1.84 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.85 % (5795)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_5581 for (2994ds/458Mi)
% 1.53/1.85 % (5791)Instruction limit reached!
% 1.53/1.85 % (5791)------------------------------
% 1.53/1.85 % (5791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.85 % (5791)Termination reason: Unknown
% 1.53/1.85 % (5791)Termination phase: Saturation
% 1.53/1.85
% 1.53/1.85 % (5791)Memory used [KB]: 6140
% 1.53/1.85 % (5791)Time elapsed: 0.061 s
% 1.53/1.85 % (5791)Instructions burned: 194 (million)
% 1.53/1.85 % (5791)------------------------------
% 1.53/1.85 % (5791)------------------------------
% 1.53/1.86 % (5793)Instruction limit reached!
% 1.53/1.86 % (5793)------------------------------
% 1.53/1.86 % (5793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.86 % (5793)Termination reason: Unknown
% 1.53/1.86 % (5793)Termination phase: Saturation
% 1.53/1.86
% 1.53/1.86 % (5793)Memory used [KB]: 5756
% 1.53/1.86 % (5793)Time elapsed: 0.050 s
% 1.53/1.86 % (5793)Instructions burned: 90 (million)
% 1.53/1.86 % (5793)------------------------------
% 1.53/1.86 % (5793)------------------------------
% 1.53/1.87 % (5796)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_5581 for (2994ds/31Mi)
% 1.53/1.88 % (5797)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_5581 for (2994ds/297Mi)
% 1.53/1.88 % Exception at run slice level
% 1.53/1.88 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.88 % (5796)Instruction limit reached!
% 1.53/1.88 % (5796)------------------------------
% 1.53/1.88 % (5796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.88 % (5796)Termination reason: Unknown
% 1.53/1.88 % (5796)Termination phase: Saturation
% 1.53/1.88
% 1.53/1.88 % (5796)Memory used [KB]: 5628
% 1.53/1.88 % (5796)Time elapsed: 0.018 s
% 1.53/1.88 % (5796)Instructions burned: 31 (million)
% 1.53/1.88 % (5796)------------------------------
% 1.53/1.88 % (5796)------------------------------
% 1.53/1.89 % (5798)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_5581 for (2993ds/987Mi)
% 1.53/1.89 % Exception at run slice level
% 1.53/1.89 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.90 % (5799)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_5581 for (2993ds/182Mi)
% 1.53/1.91 % (5800)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_5581 for (2993ds/182Mi)
% 1.53/1.94 % (5792)Refutation not found, non-redundant clauses discarded% (5792)------------------------------
% 1.53/1.94 % (5792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.94 % (5792)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.53/1.94
% 1.53/1.94 % (5792)Memory used [KB]: 6268
% 1.53/1.94 % (5792)Time elapsed: 0.132 s
% 1.53/1.94 % (5792)Instructions burned: 249 (million)
% 1.53/1.94 % (5792)------------------------------
% 1.53/1.94 % (5792)------------------------------
% 1.53/1.95 % (5787)Instruction limit reached!
% 1.53/1.95 % (5787)------------------------------
% 1.53/1.95 % (5787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.95 % (5787)Termination reason: Unknown
% 1.53/1.95 % (5787)Termination phase: Saturation
% 1.53/1.95
% 1.53/1.95 % (5787)Memory used [KB]: 6140
% 1.53/1.95 % (5787)Time elapsed: 0.195 s
% 1.53/1.95 % (5787)Instructions burned: 340 (million)
% 1.53/1.95 % (5787)------------------------------
% 1.53/1.95 % (5787)------------------------------
% 1.53/1.96 % (5801)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_5581 for (2993ds/154Mi)
% 1.53/1.96 % Exception at run slice level
% 1.53/1.96 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.97 % (5802)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_5581 for (2993ds/79Mi)
% 1.53/1.97 % (5767)Instruction limit reached!
% 1.53/1.97 % (5767)------------------------------
% 1.53/1.97 % (5767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.97 % (5767)Termination reason: Unknown
% 1.53/1.97 % (5767)Termination phase: Saturation
% 1.53/1.97
% 1.53/1.97 % (5767)Memory used [KB]: 15095
% 1.53/1.97 % (5767)Time elapsed: 0.451 s
% 1.53/1.97 % (5767)Instructions burned: 1088 (million)
% 1.53/1.97 % (5767)------------------------------
% 1.53/1.97 % (5767)------------------------------
% 1.53/1.98 % (5795)Instruction limit reached!
% 1.53/1.98 % (5795)------------------------------
% 1.53/1.98 % (5795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.98 % (5795)Termination reason: Unknown
% 1.53/1.98 % (5795)Termination phase: Saturation
% 1.53/1.98
% 1.53/1.98 % (5795)Memory used [KB]: 6652
% 1.53/1.98 % (5795)Time elapsed: 0.128 s
% 1.53/1.98 % (5795)Instructions burned: 460 (million)
% 1.53/1.98 % (5795)------------------------------
% 1.53/1.98 % (5795)------------------------------
% 1.53/1.98 % (5803)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_5581 for (2993ds/216Mi)
% 1.53/1.98 % Exception at run slice level
% 1.53/1.98 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/1.98 % (5785)Instruction limit reached!
% 1.53/1.98 % (5785)------------------------------
% 1.53/1.98 % (5785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.98 % (5785)Termination reason: Unknown
% 1.53/1.98 % (5785)Termination phase: Saturation
% 1.53/1.98
% 1.53/1.98 % (5785)Memory used [KB]: 6652
% 1.53/1.98 % (5785)Time elapsed: 0.236 s
% 1.53/1.98 % (5785)Instructions burned: 614 (million)
% 1.53/1.98 % (5785)------------------------------
% 1.53/1.98 % (5785)------------------------------
% 1.53/1.98 % (5804)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_5581 for (2992ds/114Mi)
% 1.53/1.98 % (5805)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_5581 for (2992ds/922Mi)
% 1.53/1.99 % (5806)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_5581 for (2992ds/182Mi)
% 1.53/1.99 % Exception at run slice level
% 1.53/1.99 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/2.00 % (5799)Instruction limit reached!
% 1.53/2.00 % (5799)------------------------------
% 1.53/2.00 % (5799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/2.00 % (5799)Termination reason: Unknown
% 1.53/2.00 % (5799)Termination phase: Saturation
% 1.53/2.00
% 1.53/2.00 % (5799)Memory used [KB]: 6012
% 1.53/2.00 % (5799)Time elapsed: 0.100 s
% 1.53/2.00 % (5799)Instructions burned: 182 (million)
% 1.53/2.00 % (5799)------------------------------
% 1.53/2.00 % (5799)------------------------------
% 1.53/2.00 % (5807)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_5581 for (2992ds/164Mi)
% 1.53/2.00 % (5800)Instruction limit reached!
% 1.53/2.00 % (5800)------------------------------
% 1.53/2.00 % (5800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/2.00 % (5800)Termination reason: Unknown
% 1.53/2.00 % (5800)Termination phase: Saturation
% 1.53/2.00
% 1.53/2.00 % (5800)Memory used [KB]: 6012
% 1.53/2.00 % (5800)Time elapsed: 0.093 s
% 1.53/2.00 % (5800)Instructions burned: 183 (million)
% 1.53/2.00 % (5800)------------------------------
% 1.53/2.00 % (5800)------------------------------
% 1.53/2.00 % (5808)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_5581 for (2992ds/50Mi)
% 1.53/2.00 % Exception at run slice level
% 1.53/2.00 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/2.01 % (5802)Instruction limit reached!
% 1.53/2.01 % (5802)------------------------------
% 1.53/2.01 % (5802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/2.01 % (5802)Termination reason: Unknown
% 1.53/2.01 % (5802)Termination phase: Saturation
% 1.53/2.01
% 1.53/2.01 % (5802)Memory used [KB]: 5884
% 1.53/2.01 % (5802)Time elapsed: 0.041 s
% 1.53/2.01 % (5802)Instructions burned: 80 (million)
% 1.53/2.01 % (5802)------------------------------
% 1.53/2.01 % (5802)------------------------------
% 1.53/2.01 % (5805)First to succeed.
% 1.53/2.01 % (5811)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_5581 for (2992ds/267Mi)
% 1.53/2.01 % Exception at run slice level
% 1.53/2.01 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.53/2.01 % (5805)Refutation found. Thanks to Tanya!
% 1.53/2.01 % SZS status Theorem for DTF2THF_5581
% 1.53/2.01 % SZS output start Proof for DTF2THF_5581
% 1.53/2.01 thf(type_def_6, type, sK1: $tType).
% 1.53/2.01 thf(func_def_0, type, 'const/trivia/I': !>[X0: $tType]:(X0 > X0)).
% 1.53/2.01 thf(func_def_1, type, 'const/sets/UNIONS': !>[X0: $tType]:(((X0 > $o) > $o) > X0 > $o)).
% 1.53/2.01 thf(func_def_2, type, 'const/sets/IN': !>[X0: $tType]:(X0 > (X0 > $o) > $o)).
% 1.53/2.01 thf(func_def_3, type, 'const/sets/EMPTY': !>[X0: $tType]:(X0 > $o)).
% 1.53/2.01 thf(func_def_7, type, sK0: !>[X0: $tType]:(X0 > ((X0 > $o) > $o) > X0 > $o)).
% 1.53/2.01 thf(func_def_8, type, sK2: (sK1 > $o) > $o).
% 1.53/2.01 thf(func_def_9, type, sK3: sK1 > $o).
% 1.53/2.01 thf(func_def_10, type, sK4: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > X0)).
% 1.53/2.01 thf(func_def_13, type, ph6: !>[X0: $tType]:(X0)).
% 1.53/2.01 thf(func_def_14, type, sK7: sK1).
% 1.53/2.01 thf(func_def_15, type, sK8: sK1).
% 1.53/2.01 thf(func_def_16, type, sK9: sK1).
% 1.53/2.01 thf(func_def_17, type, sK10: sK1).
% 1.53/2.01 thf(func_def_21, type, sK11: sK1).
% 1.53/2.01 thf(func_def_22, type, sK12: sK1).
% 1.53/2.01 thf(f622,plain,(
% 1.53/2.01 $false),
% 1.53/2.01 inference(avatar_sat_refutation,[status(thm)],[f57,f61,f66,f105,f191,f411,f490,f516,f586,f621])).
% 1.53/2.01 thf(f621,plain,(
% 1.53/2.01 ~spl5_32 | ~spl5_33),
% 1.53/2.01 inference(avatar_contradiction_clause,[status(thm)],[f620])).
% 1.53/2.01 thf(f620,plain,(
% 1.53/2.01 $false | (~spl5_32 | ~spl5_33)),
% 1.53/2.01 inference(trivial_inequality_removal,[status(thm)],[f606])).
% 1.53/2.01 thf(f606,plain,(
% 1.53/2.01 ($false = $true) | (~spl5_32 | ~spl5_33)),
% 1.53/2.01 inference(superposition,[status(thm)],[f515,f598])).
% 1.53/2.01 thf(f598,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($false = ('const/sets/UNIONS' @ sK1 @ sK2 @ X0))) ) | ~spl5_33),
% 1.53/2.01 inference(trivial_inequality_removal,[status(thm)],[f588])).
% 1.53/2.01 thf(f588,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true != $true) | ($false = ('const/sets/UNIONS' @ sK1 @ sK2 @ X0))) ) | ~spl5_33),
% 1.53/2.01 inference(superposition,[status(thm)],[f556,f45])).
% 1.53/2.01 thf(f45,plain,(
% 1.53/2.01 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ X2 @ X1) = $true) | ($false = (X1 @ X2))) )),
% 1.53/2.01 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 1.53/2.01 thf(f33,plain,(
% 1.53/2.01 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ X2 @ X1) = (X1 @ X2))) )),
% 1.53/2.01 inference(cnf_transformation,[status(thm)],[f17])).
% 1.53/2.01 thf(f17,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : X0 > $o,X2 : X0] : (('const/sets/IN' @ X0 @ X2 @ X1) = (X1 @ X2))),
% 1.53/2.01 inference(rectify,[status(thm)],[f3])).
% 1.53/2.01 thf(f3,axiom,(
% 1.53/2.01 ! [X0 : $tType,X2 : X0 > $o,X1 : X0] : (('const/sets/IN' @ X0 @ X1 @ X2) = (X2 @ X1))),
% 1.53/2.01 file('/export/starexec/sandbox/tmp/tmp.GtxVaOn9Ae/DTF2THF_5581.p','thm/sets/IN_')).
% 1.53/2.01 thf(f556,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true != ('const/sets/IN' @ sK1 @ X0 @ ('const/sets/UNIONS' @ sK1 @ sK2)))) ) | ~spl5_33),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f555])).
% 1.53/2.01 thf(f555,definition,(
% 1.53/2.01 spl5_33 <=> ! [X0 : sK1] : ($true != ('const/sets/IN' @ sK1 @ X0 @ ('const/sets/UNIONS' @ sK1 @ sK2)))),
% 1.53/2.01 introduced(definition,[new_symbols(naming,[spl5_33])],[avatar_definition])).
% 1.53/2.01 thf(f515,plain,(
% 1.53/2.01 ($true = ('const/sets/UNIONS' @ sK1 @ sK2 @ sK12)) | ~spl5_32),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f513])).
% 1.53/2.01 thf(f513,definition,(
% 1.53/2.01 spl5_32 <=> ($true = ('const/sets/UNIONS' @ sK1 @ sK2 @ sK12))),
% 1.53/2.01 introduced(definition,[new_symbols(naming,[spl5_32])],[avatar_definition])).
% 1.53/2.01 thf(f586,plain,(
% 1.53/2.01 spl5_33 | ~spl5_3),
% 1.53/2.01 inference(avatar_split_clause,[status(thm)],[f553,f59,f555])).
% 1.53/2.01 thf(f59,definition,(
% 1.53/2.01 spl5_3 <=> ! [X3 : sK1 > $o] : (('const/sets/EMPTY' @ sK1 = X3) | (('const/sets/IN' @ (sK1 > $o) @ X3 @ sK2) != $true))),
% 1.53/2.01 introduced(definition,[new_symbols(naming,[spl5_3])],[avatar_definition])).
% 1.53/2.01 thf(f553,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true != ('const/sets/IN' @ sK1 @ X0 @ ('const/sets/UNIONS' @ sK1 @ sK2)))) ) | ~spl5_3),
% 1.53/2.01 inference(subsumption_resolution,[status(thm)],[f548,f37])).
% 1.53/2.01 thf(f37,plain,(
% 1.53/2.01 ( ! [X0 : $tType,X1 : X0] : ((('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0) != $true)) )),
% 1.53/2.01 inference(cnf_transformation,[status(thm)],[f18])).
% 1.53/2.01 thf(f18,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : X0] : (('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0) != $true)),
% 1.53/2.01 inference(flattening,[status(thm)],[f12])).
% 1.53/2.01 thf(f12,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : X0] : ~(('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0) = $true)),
% 1.53/2.01 inference(fool_elimination,[status(thm)],[f11])).
% 1.53/2.01 thf(f11,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : X0] : ~('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)),
% 1.53/2.01 inference(rectify,[status(thm)],[f2])).
% 1.53/2.01 thf(f2,axiom,(
% 1.53/2.01 ! [X0 : $tType,X1 : X0] : ~('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)),
% 1.53/2.01 file('/export/starexec/sandbox/tmp/tmp.GtxVaOn9Ae/DTF2THF_5581.p','thm/sets/NOT_IN_EMPTY_')).
% 1.53/2.01 thf(f548,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true = ('const/sets/IN' @ sK1 @ X0 @ 'const/sets/EMPTY' @ sK1)) | ($true != ('const/sets/IN' @ sK1 @ X0 @ ('const/sets/UNIONS' @ sK1 @ sK2)))) ) | ~spl5_3),
% 1.53/2.01 inference(duplicate_literal_removal,[status(thm)],[f546])).
% 1.53/2.01 thf(f546,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true = ('const/sets/IN' @ sK1 @ X0 @ 'const/sets/EMPTY' @ sK1)) | ($true != ('const/sets/IN' @ sK1 @ X0 @ ('const/sets/UNIONS' @ sK1 @ sK2))) | ($true != ('const/sets/IN' @ sK1 @ X0 @ ('const/sets/UNIONS' @ sK1 @ sK2)))) ) | ~spl5_3),
% 1.53/2.01 inference(superposition,[status(thm)],[f34,f537])).
% 1.53/2.01 thf(f537,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (((sK0 @ sK1 @ X0 @ sK2) = 'const/sets/EMPTY' @ sK1) | ($true != ('const/sets/IN' @ sK1 @ X0 @ ('const/sets/UNIONS' @ sK1 @ sK2)))) ) | ~spl5_3),
% 1.53/2.01 inference(trivial_inequality_removal,[status(thm)],[f527])).
% 1.53/2.01 thf(f527,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true != ('const/sets/IN' @ sK1 @ X0 @ ('const/sets/UNIONS' @ sK1 @ sK2))) | ((sK0 @ sK1 @ X0 @ sK2) = 'const/sets/EMPTY' @ sK1) | ($true != $true)) ) | ~spl5_3),
% 1.53/2.01 inference(superposition,[status(thm)],[f60,f35])).
% 1.53/2.01 thf(f35,plain,(
% 1.53/2.01 ( ! [X0 : $tType,X2 : X0,X1 : (X0 > $o) > $o] : (($true = ('const/sets/IN' @ (X0 > $o) @ (sK0 @ X0 @ X2 @ X1) @ X1)) | (('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) != $true)) )),
% 1.53/2.01 inference(cnf_transformation,[status(thm)],[f23])).
% 1.53/2.01 thf(f23,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : (X0 > $o) > $o,X2 : X0] : (((('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) = $true) | ! [X3 : X0 > $o] : ((('const/sets/IN' @ (X0 > $o) @ X3 @ X1) != $true) | ($true != ('const/sets/IN' @ X0 @ X2 @ X3)))) & ((($true = ('const/sets/IN' @ (X0 > $o) @ (sK0 @ X0 @ X2 @ X1) @ X1)) & ($true = ('const/sets/IN' @ X0 @ X2 @ (sK0 @ X0 @ X2 @ X1)))) | (('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) != $true)))),
% 1.53/2.01 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22])).
% 1.53/2.01 thf(f22,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : (X0 > $o) > $o,X2 : X0] : (? [X4 : X0 > $o] : ((('const/sets/IN' @ (X0 > $o) @ X4 @ X1) = $true) & ($true = ('const/sets/IN' @ X0 @ X2 @ X4))) => (($true = ('const/sets/IN' @ (X0 > $o) @ (sK0 @ X0 @ X2 @ X1) @ X1)) & ($true = ('const/sets/IN' @ X0 @ X2 @ (sK0 @ X0 @ X2 @ X1)))))),
% 1.53/2.01 introduced(definition,[],[choice_axiom])).
% 1.53/2.01 thf(f21,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : (X0 > $o) > $o,X2 : X0] : (((('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) = $true) | ! [X3 : X0 > $o] : ((('const/sets/IN' @ (X0 > $o) @ X3 @ X1) != $true) | ($true != ('const/sets/IN' @ X0 @ X2 @ X3)))) & (? [X4 : X0 > $o] : ((('const/sets/IN' @ (X0 > $o) @ X4 @ X1) = $true) & ($true = ('const/sets/IN' @ X0 @ X2 @ X4))) | (('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) != $true)))),
% 1.53/2.01 inference(rectify,[status(thm)],[f20])).
% 1.53/2.01 thf(f20,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : (X0 > $o) > $o,X2 : X0] : (((('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) = $true) | ! [X3 : X0 > $o] : ((('const/sets/IN' @ (X0 > $o) @ X3 @ X1) != $true) | ($true != ('const/sets/IN' @ X0 @ X2 @ X3)))) & (? [X3 : X0 > $o] : ((('const/sets/IN' @ (X0 > $o) @ X3 @ X1) = $true) & ($true = ('const/sets/IN' @ X0 @ X2 @ X3))) | (('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) != $true)))),
% 1.53/2.01 inference(nnf_transformation,[status(thm)],[f16])).
% 1.53/2.01 thf(f16,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : (X0 > $o) > $o,X2 : X0] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) = $true) <=> ? [X3 : X0 > $o] : ((('const/sets/IN' @ (X0 > $o) @ X3 @ X1) = $true) & ($true = ('const/sets/IN' @ X0 @ X2 @ X3))))),
% 1.53/2.01 inference(fool_elimination,[status(thm)],[f15])).
% 1.53/2.01 thf(f15,plain,(
% 1.53/2.01 ! [X0 : $tType,X1 : (X0 > $o) > $o,X2 : X0] : (('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) = ? [X3 : X0 > $o] : (('const/sets/IN' @ (X0 > $o) @ X3 @ X1) & ('const/sets/IN' @ X0 @ X2 @ X3)))),
% 1.53/2.01 inference(rectify,[status(thm)],[f4])).
% 1.53/2.01 thf(f4,axiom,(
% 1.53/2.01 ! [X0 : $tType,X1 : (X0 > $o) > $o,X3 : X0] : (('const/sets/IN' @ X0 @ X3 @ ('const/sets/UNIONS' @ X0 @ X1)) = ? [X4 : X0 > $o] : (('const/sets/IN' @ (X0 > $o) @ X4 @ X1) & ('const/sets/IN' @ X0 @ X3 @ X4)))),
% 1.53/2.01 file('/export/starexec/sandbox/tmp/tmp.GtxVaOn9Ae/DTF2THF_5581.p','thm/sets/IN_UNIONS_')).
% 1.53/2.01 thf(f60,plain,(
% 1.53/2.01 ( ! [X3 : sK1 > $o] : ((('const/sets/IN' @ (sK1 > $o) @ X3 @ sK2) != $true) | ('const/sets/EMPTY' @ sK1 = X3)) ) | ~spl5_3),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f59])).
% 1.53/2.01 thf(f34,plain,(
% 1.53/2.01 ( ! [X0 : $tType,X2 : X0,X1 : (X0 > $o) > $o] : (($true = ('const/sets/IN' @ X0 @ X2 @ (sK0 @ X0 @ X2 @ X1))) | (('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) != $true)) )),
% 1.53/2.01 inference(cnf_transformation,[status(thm)],[f23])).
% 1.53/2.01 thf(f516,plain,(
% 1.53/2.01 spl5_32 | spl5_2),
% 1.53/2.01 inference(avatar_split_clause,[status(thm)],[f511,f54,f513])).
% 1.53/2.01 thf(f54,definition,(
% 1.53/2.01 spl5_2 <=> (('const/sets/UNIONS' @ sK1 @ sK2) = 'const/sets/EMPTY' @ sK1)),
% 1.53/2.01 introduced(definition,[new_symbols(naming,[spl5_2])],[avatar_definition])).
% 1.53/2.01 thf(f511,plain,(
% 1.53/2.01 ($true = ('const/sets/UNIONS' @ sK1 @ sK2 @ sK12)) | spl5_2),
% 1.53/2.01 inference(trivial_inequality_removal,[status(thm)],[f510])).
% 1.53/2.01 thf(f510,plain,(
% 1.53/2.01 ($false = $true) | ($true = ('const/sets/UNIONS' @ sK1 @ sK2 @ sK12)) | spl5_2),
% 1.53/2.01 inference(forward_demodulation,[status(thm)],[f508,f177])).
% 1.53/2.01 thf(f177,plain,(
% 1.53/2.01 ( ! [X0 : $tType,X1 : X0] : (($false = ('const/sets/EMPTY' @ X0 @ X1))) )),
% 1.53/2.01 inference(trivial_inequality_removal,[status(thm)],[f175])).
% 1.53/2.01 thf(f175,plain,(
% 1.53/2.01 ( ! [X0 : $tType,X1 : X0] : (($false = ('const/sets/EMPTY' @ X0 @ X1)) | ($true != $true)) )),
% 1.53/2.01 inference(superposition,[status(thm)],[f37,f45])).
% 1.53/2.01 thf(f508,plain,(
% 1.53/2.01 (('const/sets/EMPTY' @ sK1 @ sK12) = $true) | ($true = ('const/sets/UNIONS' @ sK1 @ sK2 @ sK12)) | spl5_2),
% 1.53/2.01 inference(binary_proxy_clausification,[status(thm)],[f507])).
% 1.53/2.01 thf(f507,plain,(
% 1.53/2.01 (('const/sets/EMPTY' @ sK1 @ sK12) != ('const/sets/UNIONS' @ sK1 @ sK2 @ sK12)) | spl5_2),
% 1.53/2.01 inference(negative_extensionality,[status(thm)],[f56])).
% 1.53/2.01 thf(f56,plain,(
% 1.53/2.01 (('const/sets/UNIONS' @ sK1 @ sK2) != 'const/sets/EMPTY' @ sK1) | spl5_2),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f54])).
% 1.53/2.01 thf(f490,plain,(
% 1.53/2.01 spl5_25 | ~spl5_2 | ~spl5_4),
% 1.53/2.01 inference(avatar_split_clause,[status(thm)],[f489,f63,f54,f310])).
% 1.53/2.01 thf(f310,definition,(
% 1.53/2.01 spl5_25 <=> ! [X0 : sK1] : ($true != ('const/sets/IN' @ sK1 @ X0 @ sK3))),
% 1.53/2.01 introduced(definition,[new_symbols(naming,[spl5_25])],[avatar_definition])).
% 1.53/2.01 thf(f63,definition,(
% 1.53/2.01 spl5_4 <=> ($true = ('const/sets/IN' @ (sK1 > $o) @ sK3 @ sK2))),
% 1.53/2.01 introduced(definition,[new_symbols(naming,[spl5_4])],[avatar_definition])).
% 1.53/2.01 thf(f489,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true != ('const/sets/IN' @ sK1 @ X0 @ sK3))) ) | (~spl5_2 | ~spl5_4)),
% 1.53/2.01 inference(trivial_inequality_removal,[status(thm)],[f477])).
% 1.53/2.01 thf(f477,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true != ('const/sets/IN' @ sK1 @ X0 @ sK3)) | ($true != $true)) ) | (~spl5_2 | ~spl5_4)),
% 1.53/2.01 inference(superposition,[status(thm)],[f455,f65])).
% 1.53/2.01 thf(f65,plain,(
% 1.53/2.01 ($true = ('const/sets/IN' @ (sK1 > $o) @ sK3 @ sK2)) | ~spl5_4),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f63])).
% 1.53/2.01 thf(f455,plain,(
% 1.53/2.01 ( ! [X0 : sK1,X1 : sK1 > $o] : (($true != ('const/sets/IN' @ (sK1 > $o) @ X1 @ sK2)) | ($true != ('const/sets/IN' @ sK1 @ X0 @ X1))) ) | ~spl5_2),
% 1.53/2.01 inference(subsumption_resolution,[status(thm)],[f452,f37])).
% 1.53/2.01 thf(f452,plain,(
% 1.53/2.01 ( ! [X0 : sK1,X1 : sK1 > $o] : (($true != ('const/sets/IN' @ (sK1 > $o) @ X1 @ sK2)) | ($true = ('const/sets/IN' @ sK1 @ X0 @ 'const/sets/EMPTY' @ sK1)) | ($true != ('const/sets/IN' @ sK1 @ X0 @ X1))) ) | ~spl5_2),
% 1.53/2.01 inference(superposition,[status(thm)],[f36,f55])).
% 1.53/2.01 thf(f55,plain,(
% 1.53/2.01 (('const/sets/UNIONS' @ sK1 @ sK2) = 'const/sets/EMPTY' @ sK1) | ~spl5_2),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f54])).
% 1.53/2.01 thf(f36,plain,(
% 1.53/2.01 ( ! [X0 : $tType,X2 : X0,X3 : X0 > $o,X1 : (X0 > $o) > $o] : ((('const/sets/IN' @ X0 @ X2 @ ('const/sets/UNIONS' @ X0 @ X1)) = $true) | ($true != ('const/sets/IN' @ X0 @ X2 @ X3)) | (('const/sets/IN' @ (X0 > $o) @ X3 @ X1) != $true)) )),
% 1.53/2.01 inference(cnf_transformation,[status(thm)],[f23])).
% 1.53/2.01 thf(f411,plain,(
% 1.53/2.01 ~spl5_10 | ~spl5_25),
% 1.53/2.01 inference(avatar_contradiction_clause,[status(thm)],[f410])).
% 1.53/2.01 thf(f410,plain,(
% 1.53/2.01 $false | (~spl5_10 | ~spl5_25)),
% 1.53/2.01 inference(trivial_inequality_removal,[status(thm)],[f400])).
% 1.53/2.01 thf(f400,plain,(
% 1.53/2.01 ($false = $true) | (~spl5_10 | ~spl5_25)),
% 1.53/2.01 inference(superposition,[status(thm)],[f100,f391])).
% 1.53/2.01 thf(f391,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($false = (sK3 @ X0))) ) | ~spl5_25),
% 1.53/2.01 inference(trivial_inequality_removal,[status(thm)],[f385])).
% 1.53/2.01 thf(f385,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true != $true) | ($false = (sK3 @ X0))) ) | ~spl5_25),
% 1.53/2.01 inference(superposition,[status(thm)],[f311,f45])).
% 1.53/2.01 thf(f311,plain,(
% 1.53/2.01 ( ! [X0 : sK1] : (($true != ('const/sets/IN' @ sK1 @ X0 @ sK3))) ) | ~spl5_25),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f310])).
% 1.53/2.01 thf(f100,plain,(
% 1.53/2.01 ($true = (sK3 @ sK8)) | ~spl5_10),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f98])).
% 1.53/2.01 thf(f98,definition,(
% 1.53/2.01 spl5_10 <=> ($true = (sK3 @ sK8))),
% 1.53/2.01 introduced(definition,[new_symbols(naming,[spl5_10])],[avatar_definition])).
% 1.53/2.01 thf(f191,plain,(
% 1.53/2.01 ~spl5_11),
% 1.53/2.01 inference(avatar_contradiction_clause,[status(thm)],[f190])).
% 1.53/2.01 thf(f190,plain,(
% 1.53/2.01 $false | ~spl5_11),
% 1.53/2.01 inference(trivial_inequality_removal,[status(thm)],[f186])).
% 1.53/2.01 thf(f186,plain,(
% 1.53/2.01 ($false = $true) | ~spl5_11),
% 1.53/2.01 inference(superposition,[status(thm)],[f177,f104])).
% 1.53/2.01 thf(f104,plain,(
% 1.53/2.01 ($true = ('const/sets/EMPTY' @ sK1 @ sK8)) | ~spl5_11),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f102])).
% 1.53/2.01 thf(f102,definition,(
% 1.53/2.01 spl5_11 <=> ($true = ('const/sets/EMPTY' @ sK1 @ sK8))),
% 1.53/2.01 introduced(definition,[new_symbols(naming,[spl5_11])],[avatar_definition])).
% 1.53/2.01 thf(f105,plain,(
% 1.53/2.01 spl5_10 | spl5_11 | spl5_1),
% 1.53/2.01 inference(avatar_split_clause,[status(thm)],[f95,f50,f102,f98])).
% 1.53/2.01 thf(f50,definition,(
% 1.53/2.01 spl5_1 <=> (sK3 = 'const/sets/EMPTY' @ sK1)),
% 1.53/2.01 introduced(definition,[new_symbols(naming,[spl5_1])],[avatar_definition])).
% 1.53/2.01 thf(f95,plain,(
% 1.53/2.01 ($true = (sK3 @ sK8)) | ($true = ('const/sets/EMPTY' @ sK1 @ sK8)) | spl5_1),
% 1.53/2.01 inference(binary_proxy_clausification,[status(thm)],[f94])).
% 1.53/2.01 thf(f94,plain,(
% 1.53/2.01 ((sK3 @ sK8) != ('const/sets/EMPTY' @ sK1 @ sK8)) | spl5_1),
% 1.53/2.01 inference(negative_extensionality,[status(thm)],[f52])).
% 1.53/2.01 thf(f52,plain,(
% 1.53/2.01 (sK3 != 'const/sets/EMPTY' @ sK1) | spl5_1),
% 1.53/2.01 inference(avatar_component_clause,[status(thm)],[f50])).
% 1.53/2.01 thf(f66,plain,(
% 1.53/2.01 ~spl5_2 | spl5_4),
% 1.53/2.01 inference(avatar_split_clause,[status(thm)],[f39,f63,f54])).
% 1.53/2.01 thf(f39,plain,(
% 1.53/2.01 (('const/sets/UNIONS' @ sK1 @ sK2) != 'const/sets/EMPTY' @ sK1) | ($true = ('const/sets/IN' @ (sK1 > $o) @ sK3 @ sK2))),
% 1.53/2.01 inference(cnf_transformation,[status(thm)],[f28])).
% 1.53/2.01 thf(f28,plain,(
% 1.53/2.01 (((sK3 != 'const/sets/EMPTY' @ sK1) & ($true = ('const/sets/IN' @ (sK1 > $o) @ sK3 @ sK2))) | (('const/sets/UNIONS' @ sK1 @ sK2) != 'const/sets/EMPTY' @ sK1)) & (! [X3 : sK1 > $o] : (('const/sets/EMPTY' @ sK1 = X3) | (('const/sets/IN' @ (sK1 > $o) @ X3 @ sK2) != $true)) | (('const/sets/UNIONS' @ sK1 @ sK2) = 'const/sets/EMPTY' @ sK1))),
% 1.53/2.01 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f25,f27,f26])).
% 1.53/2.01 thf(f26,plain,(
% 1.53/2.01 ? [X0 : $tType,X1 : (X0 > $o) > $o] : ((? [X2 : X0 > $o] : (('const/sets/EMPTY' @ X0 != X2) & ($true = ('const/sets/IN' @ (X0 > $o) @ X2 @ X1))) | ('const/sets/EMPTY' @ X0 != ('const/sets/UNIONS' @ X0 @ X1))) & (! [X3 : X0 > $o] : (('const/sets/EMPTY' @ X0 = X3) | (('const/sets/IN' @ (X0 > $o) @ X3 @ X1) != $true)) | ('const/sets/EMPTY' @ X0 = ('const/sets/UNIONS' @ X0 @ X1)))) => ((? [X2 : sK1 > $o] : (('const/sets/EMPTY' @ sK1 != X2) & (('const/sets/IN' @ (sK1 > $o) @ X2 @ sK2) = $true)) | (('const/sets/UNIONS' @ sK1 @ sK2) != 'const/sets/EMPTY' @ sK1)) & (! [X3 : sK1 > $o] : (('const/sets/EMPTY' @ sK1 = X3) | (('const/sets/IN' @ (sK1 > $o) @ X3 @ sK2) != $true)) | (('const/sets/UNIONS' @ sK1 @ sK2) = 'const/sets/EMPTY' @ sK1)))),
% 1.53/2.01 introduced(definition,[],[choice_axiom])).
% 1.53/2.01 thf(f27,plain,(
% 1.53/2.01 ? [X2 : sK1 > $o] : (('const/sets/EMPTY' @ sK1 != X2) & (('const/sets/IN' @ (sK1 > $o) @ X2 @ sK2) = $true)) => ((sK3 != 'const/sets/EMPTY' @ sK1) & ($true = ('const/sets/IN' @ (sK1 > $o) @ sK3 @ sK2)))),
% 1.53/2.01 introduced(definition,[],[choice_axiom])).
% 1.53/2.01 thf(f25,plain,(
% 1.53/2.01 ? [X0 : $tType,X1 : (X0 > $o) > $o] : ((? [X2 : X0 > $o] : (('const/sets/EMPTY' @ X0 != X2) & ($true = ('const/sets/IN' @ (X0 > $o) @ X2 @ X1))) | ('const/sets/EMPTY' @ X0 != ('const/sets/UNIONS' @ X0 @ X1))) & (! [X3 : X0 > $o] : (('const/sets/EMPTY' @ X0 = X3) | (('const/sets/IN' @ (X0 > $o) @ X3 @ X1) != $true)) | ('const/sets/EMPTY' @ X0 = ('const/sets/UNIONS' @ X0 @ X1))))),
% 1.53/2.01 inference(rectify,[status(thm)],[f24])).
% 1.53/2.01 thf(f24,plain,(
% 1.53/2.01 ? [X0 : $tType,X1 : (X0 > $o) > $o] : ((? [X2 : X0 > $o] : (('const/sets/EMPTY' @ X0 != X2) & ($true = ('const/sets/IN' @ (X0 > $o) @ X2 @ X1))) | ('const/sets/EMPTY' @ X0 != ('const/sets/UNIONS' @ X0 @ X1))) & (! [X2 : X0 > $o] : (('const/sets/EMPTY' @ X0 = X2) | ($true != ('const/sets/IN' @ (X0 > $o) @ X2 @ X1))) | ('const/sets/EMPTY' @ X0 = ('const/sets/UNIONS' @ X0 @ X1))))),
% 1.53/2.01 inference(nnf_transformation,[status(thm)],[f19])).
% 1.53/2.01 thf(f19,plain,(
% 1.53/2.01 ? [X0 : $tType,X1 : (X0 > $o) > $o] : (('const/sets/EMPTY' @ X0 = ('const/sets/UNIONS' @ X0 @ X1)) <~> ! [X2 : X0 > $o] : (('const/sets/EMPTY' @ X0 = X2) | ($true != ('const/sets/IN' @ (X0 > $o) @ X2 @ X1))))),
% 1.53/2.01 inference(ennf_transformation,[status(thm)],[f10])).
% 1.53/2.01 thf(f10,plain,(
% 1.53/2.01 ~! [X0 : $tType,X1 : (X0 > $o) > $o] : (! [X2 : X0 > $o] : (($true = ('const/sets/IN' @ (X0 > $o) @ X2 @ X1)) => ('const/sets/EMPTY' @ X0 = X2)) <=> ('const/sets/EMPTY' @ X0 = ('const/sets/UNIONS' @ X0 @ X1)))),
% 1.53/2.01 inference(fool_elimination,[status(thm)],[f9])).
% 1.53/2.01 thf(f9,plain,(
% 1.53/2.01 ~! [X0 : $tType,X1 : (X0 > $o) > $o] : (('const/sets/EMPTY' @ X0 = ('const/sets/UNIONS' @ X0 @ X1)) = ! [X2 : X0 > $o] : (('const/sets/IN' @ (X0 > $o) @ X2 @ X1) => ('const/sets/EMPTY' @ X0 = X2)))),
% 1.53/2.01 inference(rectify,[status(thm)],[f7])).
% 1.53/2.01 thf(f7,negated_conjecture,(
% 1.53/2.01 ~! [X0 : $tType,X1 : (X0 > $o) > $o] : (('const/sets/EMPTY' @ X0 = ('const/sets/UNIONS' @ X0 @ X1)) = ! [X3 : X0 > $o] : (('const/sets/IN' @ (X0 > $o) @ X3 @ X1) => ('const/sets/EMPTY' @ X0 = X3)))),
% 1.53/2.01 inference(negated_conjecture,[status(cth)],[f6])).
% 1.53/2.01 thf(f6,conjecture,(
% 1.53/2.01 ! [X0 : $tType,X1 : (X0 > $o) > $o] : (('const/sets/EMPTY' @ X0 = ('const/sets/UNIONS' @ X0 @ X1)) = ! [X3 : X0 > $o] : (('const/sets/IN' @ (X0 > $o) @ X3 @ X1) => ('const/sets/EMPTY' @ X0 = X3)))),
% 1.53/2.01 file('/export/starexec/sandbox/tmp/tmp.GtxVaOn9Ae/DTF2THF_5581.p','thm/sets/EMPTY_UNIONS_')).
% 1.53/2.01 thf(f61,plain,(
% 1.53/2.01 spl5_2 | spl5_3),
% 1.53/2.01 inference(avatar_split_clause,[status(thm)],[f38,f59,f54])).
% 1.53/2.01 thf(f38,plain,(
% 1.53/2.01 ( ! [X3 : sK1 > $o] : ((('const/sets/UNIONS' @ sK1 @ sK2) = 'const/sets/EMPTY' @ sK1) | ('const/sets/EMPTY' @ sK1 = X3) | (('const/sets/IN' @ (sK1 > $o) @ X3 @ sK2) != $true)) )),
% 1.53/2.01 inference(cnf_transformation,[status(thm)],[f28])).
% 1.53/2.01 thf(f57,plain,(
% 1.53/2.01 ~spl5_1 | ~spl5_2),
% 1.53/2.01 inference(avatar_split_clause,[status(thm)],[f40,f54,f50])).
% 1.53/2.01 thf(f40,plain,(
% 1.53/2.01 (('const/sets/UNIONS' @ sK1 @ sK2) != 'const/sets/EMPTY' @ sK1) | (sK3 != 'const/sets/EMPTY' @ sK1)),
% 1.53/2.01 inference(cnf_transformation,[status(thm)],[f28])).
% 1.53/2.01 % SZS output end Proof for DTF2THF_5581
% 1.53/2.01 % (5805)------------------------------
% 1.53/2.01 % (5805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/2.01 % (5805)Termination reason: Refutation
% 1.53/2.01
% 1.53/2.01 % (5805)Memory used [KB]: 5884
% 1.53/2.01 % (5805)Time elapsed: 0.029 s
% 1.53/2.01 % (5805)Instructions burned: 78 (million)
% 1.53/2.01 % (5805)------------------------------
% 1.53/2.01 % (5805)------------------------------
% 1.53/2.01 % (5719)Success in time 0.743 s
%------------------------------------------------------------------------------