%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV021^6 : TPTP v9.2.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:40:05 AM UTC 2026
% Result : Theorem 29.30s 5.13s
% Output : Refutation 29.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 22
% Syntax : Number of formulae : 180 ( 12 unt; 0 typ; 18 def)
% Number of atoms : 1763 ( 494 equ; 0 cnn)
% Maximal formula atoms : 14 ( 9 avg)
% Number of connectives : 1856 ( 247 ~; 443 |; 147 &; 876 @)
% ( 21 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 142 ( 142 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 46 usr; 31 con; 0-3 aty)
% ( 35 !!; 43 ??; 0 @@+; 0 @@-)
% Number of variables : 355 ( 99 ^; 235 !; 21 ?; 355 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cP: ( a > $o ) > $o ).
thf(func_def_2,type,
cQ: a > a > $o ).
thf(func_def_15,type,
sK0: ( a > $o ) > a ).
thf(func_def_16,type,
sK1: a > a > $o ).
thf(func_def_20,type,
ph3:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
sK4: a > $o ).
thf(func_def_23,type,
sK5: a ).
thf(func_def_24,type,
sK6: a ).
thf(func_def_25,type,
sK7: a > $o ).
thf(func_def_26,type,
sK8: a ).
thf(func_def_27,type,
sK9: a > a > a > $o ).
thf(func_def_28,type,
sK10: a > a ).
thf(func_def_29,type,
sK11: a ).
thf(func_def_30,type,
sK12: a > a ).
thf(func_def_33,type,
sK13: a > a ).
thf(func_def_34,type,
sK14: a > a > a ).
thf(func_def_35,type,
sK15: a > a ).
thf(func_def_36,type,
sK16: a > a ).
thf(func_def_37,type,
sK17: a > a > a > a ).
thf(func_def_38,type,
sK18: a > a > a > a ).
thf(func_def_43,type,
sK19: a > a > a ).
thf(func_def_48,type,
sK20: a ).
thf(func_def_49,type,
sK21: a ).
thf(func_def_50,type,
sK22: a ).
thf(func_def_51,type,
sK23: a ).
thf(func_def_52,type,
sK24: a ).
thf(func_def_53,type,
sK25: a > a ).
thf(func_def_54,type,
sK26: ( a > a > a ) > a ).
thf(f1690,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f84,f88,f92,f96,f101,f117,f122,f127,f135,f140,f143,f152,f155,f214,f247,f248,f257,f386,f407,f1689]) ).
thf(f1689,plain,
( spl2_10
| ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[status(thm)],[f1683,f94,f90,f86,f81,f78,f115]) ).
thf(f115,definition,
( spl2_10
<=> ! [X1: a] :
( ( sK4 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl2_10])],[avatar_definition]) ).
thf(f78,definition,
( spl2_1
<=> ! [X2: a,X1: a,X3: a > $o] :
( ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ X2 )
= $true )
| ( $false
= ( X3 @ X2 ) )
| ( ( cP @ X3 )
= $false )
| ( ( X3 @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_1])],[avatar_definition]) ).
thf(f81,definition,
( spl2_2
<=> ( ( cP @ sK4 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_2])],[avatar_definition]) ).
thf(f86,definition,
( spl2_3
<=> ! [X2: a,X1: a] :
( ( ( cP @ ( sK9 @ X1 @ X2 ) )
= $true )
| ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_3])],[avatar_definition]) ).
thf(f90,definition,
( spl2_4
<=> ! [X2: a,X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( sK9 @ X1 @ X2 @ X1 )
= $true )
| ( ( sK4 @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_4])],[avatar_definition]) ).
thf(f94,definition,
( spl2_5
<=> ! [X2: a,X1: a] :
( ( ( sK9 @ X1 @ X2 @ X2 )
= $true )
| ( ( sK4 @ X2 )
= $false )
| ( ( sK4 @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_5])],[avatar_definition]) ).
thf(f1683,plain,
( ! [X0: a] :
( ( sK4 @ X0 )
= $false )
| ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f1682]) ).
thf(f1682,plain,
( ! [X0: a] :
( ( $true = $false )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(duplicate_literal_removal,[status(thm)],[f1671]) ).
thf(f1671,plain,
( ! [X0: a] :
( ( ( sK4 @ X0 )
= $false )
| ( $true = $false )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f1333,f594]) ).
thf(f594,plain,
( ! [X0: a] :
( ( ( sK4 @ ( sK12 @ X0 ) )
= $true )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl2_1
| spl2_2 ),
inference(trivial_inequality_removal,[status(thm)],[f593]) ).
thf(f593,plain,
( ! [X0: a] :
( ( $true = $false )
| ( ( sK4 @ ( sK12 @ X0 ) )
= $true )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl2_1
| spl2_2 ),
inference(duplicate_literal_removal,[status(thm)],[f586]) ).
thf(f586,plain,
( ! [X0: a] :
( ( ( sK4 @ ( sK12 @ X0 ) )
= $true )
| ( ( sK4 @ ( sK12 @ X0 ) )
= $true )
| ( ( sK4 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl2_1
| spl2_2 ),
inference(superposition,[status(thm)],[f349,f324]) ).
thf(f324,plain,
( ! [X0: a] :
( ( $true
= ( sK1 @ X0 @ ( sK12 @ X0 ) ) )
| ( ( sK4 @ ( sK12 @ X0 ) )
= $true ) )
| spl2_2 ),
inference(binary_proxy_clausification,[status(thm)],[f323]) ).
thf(f323,plain,
( ! [X0: a] :
( ( sK4 @ ( sK12 @ X0 ) )
!= ( sK1 @ X0 @ ( sK12 @ X0 ) ) )
| spl2_2 ),
inference(negative_extensionality,[status(thm)],[f260]) ).
thf(f260,plain,
( ! [X0: a] :
( sK4
!= ( sK1 @ X0 ) )
| spl2_2 ),
inference(trivial_inequality_removal,[status(thm)],[f259]) ).
thf(f259,plain,
( ! [X0: a] :
( ( $true != $true )
| ( sK4
!= ( sK1 @ X0 ) ) )
| spl2_2 ),
inference(constrained_superposition,[status(thm)],[f82,f18]) ).
thf(f18,plain,
! [X4: a] :
( ( cP @ ( sK1 @ X4 ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
( ! [X0: a > $o] :
( ( ( X0 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( cP @ X0 ) ) )
& ! [X2: a > $o,X3: a > $o] :
( ( ( cP @ X2 )
= $true )
| ( X2 != X3 )
| ( ( cP @ X3 )
!= $true ) )
& ! [X4: a] :
( ( ( cP @ ( sK1 @ X4 ) )
= $true )
& ( ( sK1 @ X4 @ X4 )
= $true ) )
& ! [X6: a > $o,X7: a > $o,X8: a,X9: a] :
( ( ( cP @ X6 )
!= $true )
| ( ( X6 @ X9 )
!= $true )
| ( ( X7 @ X9 )
= $true )
| ( $true
!= ( cP @ X7 ) )
| ( ( X6 @ X8 )
!= $true )
| ( ( X7 @ X8 )
!= $true ) )
& ( cP
!= ( ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13,f12]) ).
thf(f12,plain,
! [X0: a > $o] :
( ? [X1: a] :
( $true
= ( X0 @ X1 ) )
=> ( ( X0 @ ( sK0 @ X0 ) )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f13,plain,
! [X4: a] :
( ? [X5: a > $o] :
( ( ( cP @ X5 )
= $true )
& ( ( X5 @ X4 )
= $true ) )
=> ( ( ( cP @ ( sK1 @ X4 ) )
= $true )
& ( ( sK1 @ X4 @ X4 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11,plain,
( ! [X0: a > $o] :
( ? [X1: a] :
( $true
= ( X0 @ X1 ) )
| ( $true
!= ( cP @ X0 ) ) )
& ! [X2: a > $o,X3: a > $o] :
( ( ( cP @ X2 )
= $true )
| ( X2 != X3 )
| ( ( cP @ X3 )
!= $true ) )
& ! [X4: a] :
? [X5: a > $o] :
( ( ( cP @ X5 )
= $true )
& ( ( X5 @ X4 )
= $true ) )
& ! [X6: a > $o,X7: a > $o,X8: a,X9: a] :
( ( ( cP @ X6 )
!= $true )
| ( ( X6 @ X9 )
!= $true )
| ( ( X7 @ X9 )
= $true )
| ( $true
!= ( cP @ X7 ) )
| ( ( X6 @ X8 )
!= $true )
| ( ( X7 @ X8 )
!= $true ) )
& ( cP
!= ( ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f10]) ).
thf(f10,plain,
( ! [X8: a > $o] :
( ? [X9: a] :
( $true
= ( X8 @ X9 ) )
| ( ( cP @ X8 )
!= $true ) )
& ! [X0: a > $o,X1: a > $o] :
( ( $true
= ( cP @ X0 ) )
| ( X0 != X1 )
| ( $true
!= ( cP @ X1 ) ) )
& ! [X2: a] :
? [X3: a > $o] :
( ( ( cP @ X3 )
= $true )
& ( $true
= ( X3 @ X2 ) ) )
& ! [X4: a > $o,X5: a > $o,X6: a,X7: a] :
( ( ( cP @ X4 )
!= $true )
| ( ( X4 @ X7 )
!= $true )
| ( ( X5 @ X7 )
= $true )
| ( ( cP @ X5 )
!= $true )
| ( $true
!= ( X4 @ X6 ) )
| ( ( X5 @ X6 )
!= $true ) )
& ( cP
!= ( ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(flattening,[status(thm)],[f9]) ).
thf(f9,plain,
( ( cP
!= ( ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) ) ) )
& ! [X8: a > $o] :
( ? [X9: a] :
( $true
= ( X8 @ X9 ) )
| ( ( cP @ X8 )
!= $true ) )
& ! [X2: a] :
? [X3: a > $o] :
( ( ( cP @ X3 )
= $true )
& ( $true
= ( X3 @ X2 ) ) )
& ! [X4: a > $o,X5: a > $o,X6: a,X7: a] :
( ( ( X5 @ X7 )
= $true )
| ( ( cP @ X5 )
!= $true )
| ( ( X4 @ X7 )
!= $true )
| ( $true
!= ( X4 @ X6 ) )
| ( ( cP @ X4 )
!= $true )
| ( ( X5 @ X6 )
!= $true ) )
& ! [X0: a > $o,X1: a > $o] :
( ( $true
= ( cP @ X0 ) )
| ( $true
!= ( cP @ X1 ) )
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ( ( $true
= ( cP @ X1 ) )
& ( X0 = X1 ) )
=> ( $true
= ( cP @ X0 ) ) )
=> ( ( ! [X8: a > $o] :
( ( ( cP @ X8 )
= $true )
=> ? [X9: a] :
( $true
= ( X8 @ X9 ) ) )
& ! [X2: a] :
? [X3: a > $o] :
( ( ( cP @ X3 )
= $true )
& ( $true
= ( X3 @ X2 ) ) )
& ! [X4: a > $o,X5: a > $o,X6: a,X7: a] :
( ( ( ( cP @ X5 )
= $true )
& ( ( X4 @ X7 )
= $true )
& ( $true
= ( X4 @ X6 ) )
& ( ( cP @ X4 )
= $true )
& ( ( X5 @ X6 )
= $true ) )
=> ( ( X5 @ X7 )
= $true ) ) )
=> ( cP
= ( ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ( ( X0 = X1 )
& ( cP @ X1 ) )
=> ( cP @ X0 ) )
=> ( ( ! [X2: a] :
? [X3: a > $o] :
( ( cP @ X3 )
& ( X3 @ X2 ) )
& ! [X4: a > $o,X5: a > $o,X6: a,X7: a] :
( ( ( X4 @ X7 )
& ( X4 @ X6 )
& ( cP @ X5 )
& ( cP @ X4 )
& ( X5 @ X6 ) )
=> ( X5 @ X7 ) )
& ! [X8: a > $o] :
( ( cP @ X8 )
=> ? [X9: a] : ( X8 @ X9 ) ) )
=> ( cP
= ( ^ [X10: a > $o] :
( ! [X11: a] :
( ( X10 @ X11 )
=> ! [X12: a] :
( ( X10 @ X12 )
<=> ( cQ @ X11 @ X12 ) ) )
& ? [X13: a] : ( X10 @ X13 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,negated_conjecture,
~ ( ! [X4: a > $o,X3: a > $o] :
( ( ( X3 = X4 )
& ( cP @ X3 ) )
=> ( cP @ X4 ) )
=> ( ( ! [X7: a] :
? [X5: a > $o] :
( ( cP @ X5 )
& ( X5 @ X7 ) )
& ! [X5: a > $o,X9: a > $o,X7: a,X8: a] :
( ( ( X5 @ X8 )
& ( X5 @ X7 )
& ( cP @ X9 )
& ( cP @ X5 )
& ( X9 @ X7 ) )
=> ( X9 @ X8 ) )
& ! [X5: a > $o] :
( ( cP @ X5 )
=> ? [X6: a] : ( X5 @ X6 ) ) )
=> ( cP
= ( ^ [X10: a > $o] :
( ! [X7: a] :
( ( X10 @ X7 )
=> ! [X8: a] :
( ( X10 @ X8 )
<=> ( cQ @ X7 @ X8 ) ) )
& ? [X6: a] : ( X10 @ X6 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f2,conjecture,
( ! [X4: a > $o,X3: a > $o] :
( ( ( X3 = X4 )
& ( cP @ X3 ) )
=> ( cP @ X4 ) )
=> ( ( ! [X7: a] :
? [X5: a > $o] :
( ( cP @ X5 )
& ( X5 @ X7 ) )
& ! [X5: a > $o,X9: a > $o,X7: a,X8: a] :
( ( ( X5 @ X8 )
& ( X5 @ X7 )
& ( cP @ X9 )
& ( cP @ X5 )
& ( X9 @ X7 ) )
=> ( X9 @ X8 ) )
& ! [X5: a > $o] :
( ( cP @ X5 )
=> ? [X6: a] : ( X5 @ X6 ) ) )
=> ( cP
= ( ^ [X10: a > $o] :
( ! [X7: a] :
( ( X10 @ X7 )
=> ! [X8: a] :
( ( X10 @ X8 )
<=> ( cQ @ X7 @ X8 ) ) )
& ? [X6: a] : ( X10 @ X6 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.0QRCMYGmPO/DTF2THF_31191.p',cTHM262_D_EXT2_pme) ).
thf(f82,plain,
( ( ( cP @ sK4 )
!= $true )
| spl2_2 ),
inference(avatar_component_clause,[status(thm)],[f81]) ).
thf(f349,plain,
( ! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X1 )
= $false )
| ( $true
= ( sK4 @ X1 ) )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[status(thm)],[f339]) ).
thf(f339,plain,
( ! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ X1 )
= $false )
| ( $true
= ( sK4 @ X1 ) )
| ( ( sK4 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl2_1 ),
inference(superposition,[status(thm)],[f286,f17]) ).
thf(f17,plain,
! [X4: a] :
( ( sK1 @ X4 @ X4 )
= $true ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f286,plain,
( ! [X2: a,X0: a,X1: a] :
( ( ( sK1 @ X0 @ X2 )
= $false )
| ( $true
= ( sK4 @ X1 ) )
| ( ( sK1 @ X0 @ X1 )
= $false )
| ( ( sK4 @ X2 )
= $false ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[status(thm)],[f267]) ).
thf(f267,plain,
( ! [X2: a,X0: a,X1: a] :
( ( $true = $false )
| ( ( sK4 @ X2 )
= $false )
| ( ( sK1 @ X0 @ X2 )
= $false )
| ( ( sK1 @ X0 @ X1 )
= $false )
| ( $true
= ( sK4 @ X1 ) ) )
| ~ spl2_1 ),
inference(superposition,[status(thm)],[f79,f18]) ).
thf(f79,plain,
( ! [X2: a,X3: a > $o,X1: a] :
( ( ( cP @ X3 )
= $false )
| ( $false
= ( X3 @ X2 ) )
| ( ( sK4 @ X1 )
= $false )
| ( ( X3 @ X1 )
= $false )
| ( ( sK4 @ X2 )
= $true ) )
| ~ spl2_1 ),
inference(avatar_component_clause,[status(thm)],[f78]) ).
thf(f1333,plain,
( ! [X0: a] :
( ( ( sK4 @ ( sK12 @ X0 ) )
= $false )
| ( ( sK4 @ X0 )
= $false ) )
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f1332]) ).
thf(f1332,plain,
( ! [X0: a] :
( ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ ( sK12 @ X0 ) )
= $false )
| ( $true = $false ) )
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(duplicate_literal_removal,[status(thm)],[f1298]) ).
thf(f1298,plain,
( ! [X0: a] :
( ( $true = $false )
| ( ( sK4 @ ( sK12 @ X0 ) )
= $false )
| ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ ( sK12 @ X0 ) )
= $false ) )
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f907,f325]) ).
thf(f325,plain,
( ! [X0: a] :
( ( ( sK1 @ X0 @ ( sK12 @ X0 ) )
= $false )
| ( ( sK4 @ ( sK12 @ X0 ) )
= $false ) )
| spl2_2 ),
inference(binary_proxy_clausification,[status(thm)],[f323]) ).
thf(f907,plain,
( ! [X0: a,X1: a] :
( ( ( sK1 @ X1 @ X0 )
= $true )
| ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f906]) ).
thf(f906,plain,
( ! [X0: a,X1: a] :
( ( ( sK1 @ X1 @ X0 )
= $true )
| ( ( sK4 @ X1 )
= $false )
| ( $true != $true )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(duplicate_literal_removal,[status(thm)],[f897]) ).
thf(f897,plain,
( ! [X0: a,X1: a] :
( ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ X1 )
= $false )
| ( $true != $true )
| ( ( sK1 @ X1 @ X0 )
= $true ) )
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f645,f91]) ).
thf(f91,plain,
( ! [X2: a,X1: a] :
( ( ( sK9 @ X1 @ X2 @ X1 )
= $true )
| ( ( sK4 @ X2 )
= $false )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[status(thm)],[f90]) ).
thf(f645,plain,
( ! [X2: a,X0: a,X1: a] :
( ( ( sK9 @ X0 @ X1 @ X2 )
!= $true )
| ( $true
= ( sK1 @ X1 @ X2 ) )
| ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl2_3
| ~ spl2_5 ),
inference(trivial_inequality_removal,[status(thm)],[f644]) ).
thf(f644,plain,
( ! [X2: a,X0: a,X1: a] :
( ( $true != $true )
| ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ X0 )
= $false )
| ( $true
= ( sK1 @ X1 @ X2 ) )
| ( ( sK9 @ X0 @ X1 @ X2 )
!= $true ) )
| ~ spl2_3
| ~ spl2_5 ),
inference(duplicate_literal_removal,[status(thm)],[f642]) ).
thf(f642,plain,
( ! [X2: a,X0: a,X1: a] :
( ( $true != $true )
| ( ( sK4 @ X0 )
= $false )
| ( ( sK9 @ X0 @ X1 @ X2 )
!= $true )
| ( ( sK4 @ X1 )
= $false )
| ( $true
= ( sK1 @ X1 @ X2 ) )
| ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl2_3
| ~ spl2_5 ),
inference(superposition,[status(thm)],[f464,f95]) ).
thf(f95,plain,
( ! [X2: a,X1: a] :
( ( ( sK9 @ X1 @ X2 @ X2 )
= $true )
| ( ( sK4 @ X2 )
= $false )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[status(thm)],[f94]) ).
thf(f464,plain,
( ! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK9 @ X0 @ X1 @ X3 )
!= $true )
| ( $true
= ( sK1 @ X3 @ X2 ) )
| ( ( sK4 @ X1 )
= $false )
| ( ( sK9 @ X0 @ X1 @ X2 )
!= $true )
| ( ( sK4 @ X0 )
= $false ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[status(thm)],[f454]) ).
thf(f454,plain,
( ! [X2: a,X3: a,X0: a,X1: a] :
( ( $true
= ( sK1 @ X3 @ X2 ) )
| ( $true != $true )
| ( ( sK9 @ X0 @ X1 @ X2 )
!= $true )
| ( ( sK4 @ X0 )
= $false )
| ( ( sK4 @ X1 )
= $false )
| ( ( sK9 @ X0 @ X1 @ X3 )
!= $true ) )
| ~ spl2_3 ),
inference(superposition,[status(thm)],[f264,f87]) ).
thf(f87,plain,
( ! [X2: a,X1: a] :
( ( ( cP @ ( sK9 @ X1 @ X2 ) )
= $true )
| ( ( sK4 @ X2 )
= $false )
| ( ( sK4 @ X1 )
= $false ) )
| ~ spl2_3 ),
inference(avatar_component_clause,[status(thm)],[f86]) ).
thf(f264,plain,
! [X2: a,X0: a,X1: a > $o] :
( ( $true
!= ( cP @ X1 ) )
| ( ( X1 @ X2 )
!= $true )
| ( $true
!= ( X1 @ X0 ) )
| ( ( sK1 @ X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f262]) ).
thf(f262,plain,
! [X2: a,X0: a,X1: a > $o] :
( ( $true
!= ( cP @ X1 ) )
| ( $true
!= ( X1 @ X0 ) )
| ( $true != $true )
| ( ( X1 @ X2 )
!= $true )
| ( ( sK1 @ X0 @ X2 )
= $true ) ),
inference(superposition,[status(thm)],[f30,f17]) ).
thf(f30,plain,
! [X2: a,X3: a,X0: a,X1: a > $o] :
( ( ( sK1 @ X0 @ X2 )
!= $true )
| ( $true
!= ( cP @ X1 ) )
| ( ( X1 @ X2 )
!= $true )
| ( $true
!= ( X1 @ X3 ) )
| ( ( sK1 @ X0 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f29]) ).
thf(f29,plain,
! [X2: a,X3: a,X0: a,X1: a > $o] :
( ( ( sK1 @ X0 @ X3 )
= $true )
| ( ( X1 @ X2 )
!= $true )
| ( ( sK1 @ X0 @ X2 )
!= $true )
| ( $true
!= ( cP @ X1 ) )
| ( $true
!= ( X1 @ X3 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f16,f18]) ).
thf(f16,plain,
! [X8: a,X6: a > $o,X9: a,X7: a > $o] :
( ( $true
!= ( cP @ X7 ) )
| ( ( cP @ X6 )
!= $true )
| ( ( X6 @ X8 )
!= $true )
| ( ( X7 @ X9 )
= $true )
| ( ( X6 @ X9 )
!= $true )
| ( ( X7 @ X8 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f407,plain,
( ~ spl2_6
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[status(thm)],[f406]) ).
thf(f406,plain,
( $false
| ~ spl2_6
| ~ spl2_10 ),
inference(trivial_inequality_removal,[status(thm)],[f395]) ).
thf(f395,plain,
( ( $true = $false )
| ~ spl2_6
| ~ spl2_10 ),
inference(backward_demodulation,[status(thm)],[f100,f116]) ).
thf(f116,plain,
( ! [X1: a] :
( ( sK4 @ X1 )
= $false )
| ~ spl2_10 ),
inference(avatar_component_clause,[status(thm)],[f115]) ).
thf(f100,plain,
( ( $true
= ( sK4 @ sK8 ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[status(thm)],[f98]) ).
thf(f98,definition,
( spl2_6
<=> ( $true
= ( sK4 @ sK8 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_6])],[avatar_definition]) ).
thf(f386,plain,
( ~ spl2_15
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[status(thm)],[f385]) ).
thf(f385,plain,
( $false
| ~ spl2_15
| ~ spl2_18 ),
inference(trivial_inequality_removal,[status(thm)],[f384]) ).
thf(f384,plain,
( ( $true = $false )
| ~ spl2_15
| ~ spl2_18 ),
inference(backward_demodulation,[status(thm)],[f139,f213]) ).
thf(f213,plain,
( ( ( sK4 @ sK5 )
= $false )
| ~ spl2_18 ),
inference(avatar_component_clause,[status(thm)],[f211]) ).
thf(f211,definition,
( spl2_18
<=> ( ( sK4 @ sK5 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl2_18])],[avatar_definition]) ).
thf(f139,plain,
( ( ( sK4 @ sK5 )
= $true )
| ~ spl2_15 ),
inference(avatar_component_clause,[status(thm)],[f137]) ).
thf(f137,definition,
( spl2_15
<=> ( ( sK4 @ sK5 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_15])],[avatar_definition]) ).
thf(f257,plain,
( ~ spl2_11
| ~ spl2_15
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[status(thm)],[f256]) ).
thf(f256,plain,
( $false
| ~ spl2_11
| ~ spl2_15
| ~ spl2_16 ),
inference(subsumption_resolution,[status(thm)],[f253,f139]) ).
thf(f253,plain,
( ( ( sK4 @ sK5 )
!= $true )
| ~ spl2_11
| ~ spl2_16 ),
inference(trivial_inequality_removal,[status(thm)],[f249]) ).
thf(f249,plain,
( ( $true != $true )
| ( ( sK4 @ sK5 )
!= $true )
| ~ spl2_11
| ~ spl2_16 ),
inference(superposition,[status(thm)],[f178,f121]) ).
thf(f121,plain,
( ( ( sK7 @ sK5 )
= $true )
| ~ spl2_11 ),
inference(avatar_component_clause,[status(thm)],[f119]) ).
thf(f119,definition,
( spl2_11
<=> ( ( sK7 @ sK5 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_11])],[avatar_definition]) ).
thf(f178,plain,
( ! [X0: a] :
( ( $true
!= ( sK7 @ X0 ) )
| ( ( sK4 @ X0 )
!= $true ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[status(thm)],[f177]) ).
thf(f177,definition,
( spl2_16
<=> ! [X0: a] :
( ( ( sK4 @ X0 )
!= $true )
| ( $true
!= ( sK7 @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl2_16])],[avatar_definition]) ).
thf(f248,plain,
( spl2_17
| spl2_16
| ~ spl2_2
| ~ spl2_8 ),
inference(avatar_split_clause,[status(thm)],[f226,f107,f81,f177,f180]) ).
thf(f180,definition,
( spl2_17
<=> ! [X1: a] :
( ( $true
!= ( sK7 @ X1 ) )
| ( $true
= ( sK4 @ X1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl2_17])],[avatar_definition]) ).
thf(f107,definition,
( spl2_8
<=> ( ( cP @ sK7 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_8])],[avatar_definition]) ).
thf(f226,plain,
( ! [X0: a,X1: a] :
( ( $true
= ( sK4 @ X1 ) )
| ( ( sK4 @ X0 )
!= $true )
| ( $true
!= ( sK7 @ X0 ) )
| ( $true
!= ( sK7 @ X1 ) ) )
| ~ spl2_2
| ~ spl2_8 ),
inference(trivial_inequality_removal,[status(thm)],[f220]) ).
thf(f220,plain,
( ! [X0: a,X1: a] :
( ( $true
!= ( sK7 @ X0 ) )
| ( $true
!= ( sK7 @ X1 ) )
| ( $true != $true )
| ( ( sK4 @ X0 )
!= $true )
| ( $true
= ( sK4 @ X1 ) ) )
| ~ spl2_2
| ~ spl2_8 ),
inference(superposition,[status(thm)],[f147,f109]) ).
thf(f109,plain,
( ( ( cP @ sK7 )
= $true )
| ~ spl2_8 ),
inference(avatar_component_clause,[status(thm)],[f107]) ).
thf(f147,plain,
( ! [X2: a,X0: a > $o,X1: a] :
( ( $true
!= ( cP @ X0 ) )
| ( $true
!= ( X0 @ X1 ) )
| ( ( X0 @ X2 )
!= $true )
| ( ( sK4 @ X2 )
= $true )
| ( $true
!= ( sK4 @ X1 ) ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[status(thm)],[f144]) ).
thf(f144,plain,
( ! [X2: a,X0: a > $o,X1: a] :
( ( ( X0 @ X2 )
!= $true )
| ( $true
!= ( cP @ X0 ) )
| ( $true != $true )
| ( $true
!= ( X0 @ X1 ) )
| ( $true
!= ( sK4 @ X1 ) )
| ( ( sK4 @ X2 )
= $true ) )
| ~ spl2_2 ),
inference(superposition,[status(thm)],[f16,f83]) ).
thf(f83,plain,
( ( ( cP @ sK4 )
= $true )
| ~ spl2_2 ),
inference(avatar_component_clause,[status(thm)],[f81]) ).
thf(f247,plain,
( ~ spl2_12
| ~ spl2_13
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[status(thm)],[f246]) ).
thf(f246,plain,
( $false
| ~ spl2_12
| ~ spl2_13
| ~ spl2_17 ),
inference(trivial_inequality_removal,[status(thm)],[f245]) ).
thf(f245,plain,
( ( $true = $false )
| ~ spl2_12
| ~ spl2_13
| ~ spl2_17 ),
inference(forward_demodulation,[status(thm)],[f242,f131]) ).
thf(f131,plain,
( ( ( sK4 @ sK6 )
= $false )
| ~ spl2_13 ),
inference(avatar_component_clause,[status(thm)],[f129]) ).
thf(f129,definition,
( spl2_13
<=> ( ( sK4 @ sK6 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl2_13])],[avatar_definition]) ).
thf(f242,plain,
( ( $true
= ( sK4 @ sK6 ) )
| ~ spl2_12
| ~ spl2_17 ),
inference(trivial_inequality_removal,[status(thm)],[f240]) ).
thf(f240,plain,
( ( $true != $true )
| ( $true
= ( sK4 @ sK6 ) )
| ~ spl2_12
| ~ spl2_17 ),
inference(superposition,[status(thm)],[f181,f126]) ).
thf(f126,plain,
( ( ( sK7 @ sK6 )
= $true )
| ~ spl2_12 ),
inference(avatar_component_clause,[status(thm)],[f124]) ).
thf(f124,definition,
( spl2_12
<=> ( ( sK7 @ sK6 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_12])],[avatar_definition]) ).
thf(f181,plain,
( ! [X1: a] :
( ( $true
!= ( sK7 @ X1 ) )
| ( $true
= ( sK4 @ X1 ) ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[status(thm)],[f180]) ).
thf(f214,plain,
( spl2_13
| spl2_18
| ~ spl2_2
| ~ spl2_14 ),
inference(avatar_split_clause,[status(thm)],[f198,f133,f81,f211,f129]) ).
thf(f133,definition,
( spl2_14
<=> ! [X2: a > $o] :
( ( ( cP @ X2 )
= $false )
| ( ( X2 @ sK6 )
= $false )
| ( ( X2 @ sK5 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_14])],[avatar_definition]) ).
thf(f198,plain,
( ( ( sK4 @ sK5 )
= $false )
| ( ( sK4 @ sK6 )
= $false )
| ~ spl2_2
| ~ spl2_14 ),
inference(trivial_inequality_removal,[status(thm)],[f188]) ).
thf(f188,plain,
( ( $true = $false )
| ( ( sK4 @ sK5 )
= $false )
| ( ( sK4 @ sK6 )
= $false )
| ~ spl2_2
| ~ spl2_14 ),
inference(superposition,[status(thm)],[f83,f134]) ).
thf(f134,plain,
( ! [X2: a > $o] :
( ( ( cP @ X2 )
= $false )
| ( ( X2 @ sK5 )
= $false )
| ( ( X2 @ sK6 )
= $false ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[status(thm)],[f133]) ).
thf(f155,plain,
( ~ spl2_9
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[status(thm)],[f154]) ).
thf(f154,plain,
( $false
| ~ spl2_9
| ~ spl2_13 ),
inference(trivial_inequality_removal,[status(thm)],[f153]) ).
thf(f153,plain,
( ( $true = $false )
| ~ spl2_9
| ~ spl2_13 ),
inference(backward_demodulation,[status(thm)],[f113,f131]) ).
thf(f113,plain,
( ( $true
= ( sK4 @ sK6 ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[status(thm)],[f111]) ).
thf(f111,definition,
( spl2_9
<=> ( $true
= ( sK4 @ sK6 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_9])],[avatar_definition]) ).
thf(f152,plain,
( ~ spl2_2
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[status(thm)],[f151]) ).
thf(f151,plain,
( $false
| ~ spl2_2
| ~ spl2_10 ),
inference(trivial_inequality_removal,[status(thm)],[f150]) ).
thf(f150,plain,
( ( $true = $false )
| ~ spl2_2
| ~ spl2_10 ),
inference(forward_demodulation,[status(thm)],[f146,f116]) ).
thf(f146,plain,
( ( ( sK4 @ ( sK0 @ sK4 ) )
= $true )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[status(thm)],[f145]) ).
thf(f145,plain,
( ( $true != $true )
| ( ( sK4 @ ( sK0 @ sK4 ) )
= $true )
| ~ spl2_2 ),
inference(superposition,[status(thm)],[f20,f83]) ).
thf(f20,plain,
! [X0: a > $o] :
( ( $true
!= ( cP @ X0 ) )
| ( ( X0 @ ( sK0 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f143,plain,
( ~ spl2_2
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f142]) ).
thf(f142,plain,
( $false
| ~ spl2_2
| ~ spl2_7 ),
inference(trivial_inequality_removal,[status(thm)],[f141]) ).
thf(f141,plain,
( ( $true = $false )
| ~ spl2_2
| ~ spl2_7 ),
inference(backward_demodulation,[status(thm)],[f83,f105]) ).
thf(f105,plain,
( ( ( cP @ sK4 )
= $false )
| ~ spl2_7 ),
inference(avatar_component_clause,[status(thm)],[f103]) ).
thf(f103,definition,
( spl2_7
<=> ( ( cP @ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl2_7])],[avatar_definition]) ).
thf(f140,plain,
( spl2_15
| spl2_10
| spl2_7 ),
inference(avatar_split_clause,[status(thm)],[f40,f103,f115,f137]) ).
thf(f40,plain,
! [X1: a] :
( ( ( cP @ sK4 )
= $false )
| ( ( sK4 @ sK5 )
= $true )
| ( ( sK4 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
! [X1: a] :
( ( ( cP @ sK4 )
= $false )
| ( ( ( sK4 @ sK5 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( Y1 @ sK5 )
& ( cP @ Y1 ) ) ) ) ) )
= $false )
| ( ( sK4 @ X1 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
( ( ( ?? @ a @ sK4 )
= $false )
| ( ( ( sK4 @ sK5 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( Y1 @ sK5 )
& ( cP @ Y1 ) ) ) ) ) )
= $false )
| ( ( cP @ sK4 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f36]) ).
thf(f36,plain,
( ( ( cP @ sK4 )
= $false )
| ( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) ) ) ) ) )
@ sK5 )
= $false )
| ( ( ?? @ a @ sK4 )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
( ( ( cP @ sK4 )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) ) ) ) ) ) )
= $false )
| ( ( ?? @ a @ sK4 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
( ( ( cP @ sK4 )
= $false )
| ( ( ( ?? @ a @ sK4 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f32]) ).
thf(f32,plain,
( ( cP @ sK4 )
!= ( ( ?? @ a @ sK4 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f31]) ).
thf(f31,plain,
( ( cP @ sK4 )
!= ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y2 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) ) ) ) ) ) ) )
@ sK4 ) ),
inference(negative_extensionality,[status(thm)],[f24]) ).
thf(f24,plain,
( cP
!= ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y2 )
& ( Y3 @ Y1 )
& ( cP @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f22]) ).
thf(f22,plain,
( cP
!= ( ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( ^ [Y3: a,Y4: a] :
( ?? @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( Y5 @ Y4 )
& ( Y5 @ Y3 )
& ( cP @ Y5 ) ) )
@ Y1
@ Y2 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[status(thm)],[f15,f21]) ).
thf(f21,plain,
( cQ
= ( ^ [Y0: a,Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
( cQ
= ( ^ [Y0: a,Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f7]) ).
thf(f7,plain,
( cQ
= ( ^ [X0: a,X1: a] :
? [X2: a > $o] :
( ( cP @ X2 )
& ( X2 @ X0 )
& ( X2 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
( cQ
= ( ^ [X0: a,X1: a] :
? [X2: a > $o] :
( ( cP @ X2 )
& ( X2 @ X0 )
& ( X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.0QRCMYGmPO/DTF2THF_31191.p',cQ_def) ).
thf(f15,plain,
( cP
!= ( ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( cQ @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f135,plain,
( spl2_7
| spl2_13
| spl2_10
| spl2_14 ),
inference(avatar_split_clause,[status(thm)],[f49,f133,f115,f129,f103]) ).
thf(f49,plain,
! [X2: a > $o,X1: a] :
( ( ( cP @ X2 )
= $false )
| ( ( cP @ sK4 )
= $false )
| ( ( X2 @ sK5 )
= $false )
| ( ( X2 @ sK6 )
= $false )
| ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ sK6 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
! [X2: a > $o,X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $false )
| ( ( ( X2 @ sK6 )
& ( X2 @ sK5 ) )
= $false )
| ( ( sK4 @ sK6 )
= $false )
| ( ( cP @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
! [X2: a > $o,X1: a] :
( ( ( ( X2 @ sK6 )
& ( X2 @ sK5 )
& ( cP @ X2 ) )
= $false )
| ( ( cP @ sK4 )
= $false )
| ( ( sK4 @ sK6 )
= $false )
| ( ( sK4 @ X1 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f46]) ).
thf(f46,plain,
! [X2: a > $o,X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( Y0 @ sK5 )
& ( cP @ Y0 ) )
@ X2 )
= $false )
| ( ( cP @ sK4 )
= $false )
| ( ( sK4 @ sK6 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f45]) ).
thf(f45,plain,
! [X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $false )
| ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( Y0 @ sK5 )
& ( cP @ Y0 ) ) )
= $false )
| ( ( sK4 @ sK6 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f43]) ).
thf(f43,plain,
! [X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( Y0 @ sK5 )
& ( cP @ Y0 ) ) )
!= ( sK4 @ sK6 ) )
| ( ( cP @ sK4 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f42]) ).
thf(f42,plain,
! [X1: a] :
( ( ( ( sK4 @ sK6 )
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( Y0 @ sK5 )
& ( cP @ Y0 ) ) ) )
= $false )
| ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f41]) ).
thf(f41,plain,
! [X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( Y1 @ sK5 )
& ( cP @ Y1 ) ) ) )
@ sK6 )
= $false )
| ( ( cP @ sK4 )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( Y1 @ sK5 )
& ( cP @ Y1 ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f127,plain,
( spl2_10
| spl2_7
| spl2_12
| spl2_9 ),
inference(avatar_split_clause,[status(thm)],[f55,f111,f124,f103,f115]) ).
thf(f55,plain,
! [X1: a] :
( ( ( cP @ sK4 )
= $false )
| ( $true
= ( sK4 @ sK6 ) )
| ( ( sK4 @ X1 )
= $false )
| ( ( sK7 @ sK6 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
! [X1: a] :
( ( $true
= ( ( sK7 @ sK6 )
& ( sK7 @ sK5 ) ) )
| ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $false )
| ( $true
= ( sK4 @ sK6 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f51]) ).
thf(f51,plain,
! [X1: a] :
( ( $true
= ( sK4 @ sK6 ) )
| ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $false )
| ( $true
= ( ( sK7 @ sK6 )
& ( sK7 @ sK5 )
& ( cP @ sK7 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f50]) ).
thf(f50,plain,
! [X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( $true
= ( sK4 @ sK6 ) )
| ( ( cP @ sK4 )
= $false )
| ( ( ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( Y0 @ sK5 )
& ( cP @ Y0 ) )
@ sK7 )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f44]) ).
thf(f44,plain,
! [X1: a] :
( ( $true
= ( sK4 @ sK6 ) )
| ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK6 )
& ( Y0 @ sK5 )
& ( cP @ Y0 ) ) )
= $true )
| ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f43]) ).
thf(f122,plain,
( spl2_10
| spl2_7
| spl2_11
| spl2_9 ),
inference(avatar_split_clause,[status(thm)],[f54,f111,f119,f103,f115]) ).
thf(f54,plain,
! [X1: a] :
( ( $true
= ( sK4 @ sK6 ) )
| ( ( cP @ sK4 )
= $false )
| ( ( sK7 @ sK5 )
= $true )
| ( ( sK4 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f53]) ).
thf(f117,plain,
( spl2_7
| spl2_8
| spl2_9
| spl2_10 ),
inference(avatar_split_clause,[status(thm)],[f52,f115,f111,f107,f103]) ).
thf(f52,plain,
! [X1: a] :
( ( $true
= ( sK4 @ sK6 ) )
| ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $false )
| ( ( cP @ sK7 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f51]) ).
thf(f101,plain,
( spl2_2
| spl2_6 ),
inference(avatar_split_clause,[status(thm)],[f58,f98,f81]) ).
thf(f58,plain,
( ( ( cP @ sK4 )
= $true )
| ( $true
= ( sK4 @ sK8 ) ) ),
inference(sigma_clausification,[status(thm)],[f57]) ).
thf(f57,plain,
( ( ( ?? @ a @ sK4 )
= $true )
| ( ( cP @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
( ( ( cP @ sK4 )
= $true )
| ( ( ( ?? @ a @ sK4 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) ) ) ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f32]) ).
thf(f96,plain,
( spl2_5
| spl2_2 ),
inference(avatar_split_clause,[status(thm)],[f72,f81,f94]) ).
thf(f72,plain,
! [X2: a,X1: a] :
( ( ( cP @ sK4 )
= $true )
| ( ( sK9 @ X1 @ X2 @ X2 )
= $true )
| ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f70]) ).
thf(f70,plain,
! [X2: a,X1: a] :
( ( ( cP @ sK4 )
= $true )
| ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ X2 )
= $false )
| ( ( ( sK9 @ X1 @ X2 @ X2 )
& ( sK9 @ X1 @ X2 @ X1 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f68]) ).
thf(f68,plain,
! [X2: a,X1: a] :
( ( ( sK4 @ X2 )
= $false )
| ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $true )
| ( $true
= ( ( sK9 @ X1 @ X2 @ X2 )
& ( sK9 @ X1 @ X2 @ X1 )
& ( cP @ ( sK9 @ X1 @ X2 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f67]) ).
thf(f67,plain,
! [X2: a,X1: a] :
( ( ( ^ [Y0: a > $o] :
( ( Y0 @ X2 )
& ( Y0 @ X1 )
& ( cP @ Y0 ) )
@ ( sK9 @ X1 @ X2 ) )
= $true )
| ( ( sK4 @ X2 )
= $false )
| ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f66]) ).
thf(f66,plain,
! [X2: a,X1: a] :
( ( ( cP @ sK4 )
= $true )
| ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X2 )
& ( Y0 @ X1 )
& ( cP @ Y0 ) ) ) )
| ( ( sK4 @ X2 )
= $false )
| ( ( sK4 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f64]) ).
thf(f64,plain,
! [X2: a,X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ X2 )
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X2 )
& ( Y0 @ X1 )
& ( cP @ Y0 ) ) ) )
| ( ( cP @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f63]) ).
thf(f63,plain,
! [X2: a,X1: a] :
( ( ( ( sK4 @ X2 )
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X2 )
& ( Y0 @ X1 )
& ( cP @ Y0 ) ) ) )
= $true )
| ( ( cP @ sK4 )
= $true )
| ( ( sK4 @ X1 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f62]) ).
thf(f62,plain,
! [X2: a,X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( Y1 @ X1 )
& ( cP @ Y1 ) ) ) )
@ X2 )
= $true )
| ( ( cP @ sK4 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f61]) ).
thf(f61,plain,
! [X1: a] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( Y1 @ X1 )
& ( cP @ Y1 ) ) ) ) ) )
| ( ( sK4 @ X1 )
= $false )
| ( ( cP @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f60]) ).
thf(f60,plain,
! [X1: a] :
( ( ( cP @ sK4 )
= $true )
| ( $true
= ( ( sK4 @ X1 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( Y1 @ X1 )
& ( cP @ Y1 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f59]) ).
thf(f59,plain,
! [X1: a] :
( ( ( cP @ sK4 )
= $true )
| ( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) ) ) ) ) )
@ X1 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f56]) ).
thf(f56,plain,
( ( ( cP @ sK4 )
= $true )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( Y2 @ Y0 )
& ( cP @ Y2 ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f92,plain,
( spl2_2
| spl2_4 ),
inference(avatar_split_clause,[status(thm)],[f71,f90,f81]) ).
thf(f71,plain,
! [X2: a,X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ X2 )
= $false )
| ( ( sK9 @ X1 @ X2 @ X1 )
= $true )
| ( ( cP @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f70]) ).
thf(f88,plain,
( spl2_3
| spl2_2 ),
inference(avatar_split_clause,[status(thm)],[f69,f81,f86]) ).
thf(f69,plain,
! [X2: a,X1: a] :
( ( ( cP @ ( sK9 @ X1 @ X2 ) )
= $true )
| ( ( cP @ sK4 )
= $true )
| ( ( sK4 @ X2 )
= $false )
| ( ( sK4 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f68]) ).
thf(f84,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[status(thm)],[f76,f81,f78]) ).
thf(f76,plain,
! [X2: a,X3: a > $o,X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( X3 @ X1 )
= $false )
| ( ( cP @ X3 )
= $false )
| ( $false
= ( X3 @ X2 ) )
| ( ( sK4 @ X2 )
= $true )
| ( ( cP @ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f75]) ).
thf(f75,plain,
! [X2: a,X3: a > $o,X1: a] :
( ( ( ( X3 @ X2 )
& ( X3 @ X1 ) )
= $false )
| ( ( cP @ sK4 )
= $true )
| ( ( sK4 @ X1 )
= $false )
| ( ( cP @ X3 )
= $false )
| ( ( sK4 @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f74]) ).
thf(f74,plain,
! [X2: a,X3: a > $o,X1: a] :
( ( ( sK4 @ X2 )
= $true )
| ( ( cP @ sK4 )
= $true )
| ( ( sK4 @ X1 )
= $false )
| ( ( ( X3 @ X2 )
& ( X3 @ X1 )
& ( cP @ X3 ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f73]) ).
thf(f73,plain,
! [X2: a,X3: a > $o,X1: a] :
( ( ( cP @ sK4 )
= $true )
| ( ( sK4 @ X1 )
= $false )
| ( ( ^ [Y0: a > $o] :
( ( Y0 @ X2 )
& ( Y0 @ X1 )
& ( cP @ Y0 ) )
@ X3 )
= $false )
| ( ( sK4 @ X2 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f65]) ).
thf(f65,plain,
! [X2: a,X1: a] :
( ( ( sK4 @ X1 )
= $false )
| ( ( sK4 @ X2 )
= $true )
| ( ( cP @ sK4 )
= $true )
| ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X2 )
& ( Y0 @ X1 )
& ( cP @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV021^6 : TPTP v9.2.1. Released v5.5.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Feb 24 12:39:35 EST 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.42 ---- Original DTF file ---
% 0.16/0.42 thf(spec,logic,$$dhol).
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 % File : SEV021^6 : TPTP v9.2.1. Released v5.5.0.
% 0.16/0.42 % Domain : Set Theory (Relations)
% 0.16/0.42 % Problem : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.16/0.42 % Version : Especial.
% 0.16/0.42 % English :
% 0.16/0.42
% 0.16/0.42 % Refs : [Sul12] Sultana (2012), Email to Geoff Sutcliffe
% 0.16/0.42 % Source : [Sul12]
% 0.16/0.42 % Names :
% 0.16/0.42
% 0.16/0.42 % Status : Theorem
% 0.16/0.42 % Rating : 0.22 v9.1.0, 0.12 v9.0.0, 0.30 v8.2.0, 0.46 v8.1.0, 0.55 v7.5.0, 0.57 v7.4.0, 0.89 v7.2.0, 0.88 v7.0.0, 1.00 v6.3.0, 0.80 v6.2.0, 0.86 v6.1.0, 1.00 v5.5.0
% 0.16/0.42 % Syntax : Number of formulae : 5 ( 1 unt; 3 typ; 1 def)
% 0.16/0.42 % Number of atoms : 13 ( 3 equ; 0 cnn)
% 0.16/0.42 % Maximal formula atoms : 8 ( 6 avg)
% 0.16/0.42 % Number of connectives : 38 ( 0 ~; 0 |; 11 &; 20 @)
% 0.16/0.42 % ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% 0.16/0.42 % Maximal formula depth : 15 ( 8 avg)
% 0.16/0.42 % Number of types : 2 ( 1 usr)
% 0.16/0.42 % Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% 0.16/0.42 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 0.16/0.42 % Number of variables : 17 ( 3 ^; 10 !; 4 ?; 17 :)
% 0.16/0.42 % SPC : TH0_THM_EQU_NAR
% 0.16/0.42
% 0.16/0.42 % Comments : .
% 0.16/0.42 % : The conjecture is of the form A => B, where A is not needed to
% 0.16/0.42 % prove B. A is an easily provable property of equality.
% 0.16/0.42 % : This version has the relation Q instantiated.
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 thf(a_type,type,
% 0.16/0.42 a: $tType ).
% 0.16/0.42
% 0.16/0.42 thf(cP,type,
% 0.16/0.42 cP: ( a > $o ) > $o ).
% 0.16/0.42
% 0.16/0.42 thf(cQ,type,
% 0.16/0.42 cQ: a > a > $o ).
% 0.16/0.42
% 0.16/0.42 thf(cQ_def,definition,
% 0.16/0.42 ( cQ
% 0.16/0.42 = ( ^ [X: a,Y: a] :
% 0.16/0.42 ? [S: a > $o] :
% 0.16/0.42 ( ( cP @ S )
% 0.16/0.42 & ( S @ X )
% 0.16/0.42 & ( S @ Y ) ) ) ) ).
% 0.16/0.42
% 0.16/0.42 thf(cTHM262_D_EXT2_pme,conjecture,
% 0.16/0.42 ( ! [Xq1: a > $o,Xq2: a > $o] :
% 0.16/0.42 ( ( ( Xq1 = Xq2 )
% 0.16/0.42 & ( cP @ Xq1 ) )
% 0.16/0.42 => ( cP @ Xq2 ) )
% 0.16/0.42 => ( ( ! [Xp: a > $o] :
% 0.16/0.42 ( ( cP @ Xp )
% 0.16/0.42 => ? [Xz: a] : ( Xp @ Xz ) )
% 0.16/0.42 & ! [Xx: a] :
% 0.16/0.42 ? [Xp: a > $o] :
% 0.16/0.42 ( ( cP @ Xp )
% 0.16/0.42 & ( Xp @ Xx ) )
% 0.16/0.42 & ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
% 0.16/0.42 ( ( ( cP @ Xp )
% 0.16/0.42 & ( cP @ Xq )
% 0.16/0.42 & ( Xp @ Xx )
% 0.16/0.42 & ( Xq @ Xx )
% 0.16/0.42 & ( Xp @ Xy ) )
% 0.16/0.42 => ( Xq @ Xy ) ) )
% 0.16/0.42 => ( ( ^ [Xs: a > $o] :
% 0.16/0.42 ( ? [Xz: a] : ( Xs @ Xz )
% 0.16/0.42 & ! [Xx: a] :
% 0.16/0.42 ( ( Xs @ Xx )
% 0.16/0.42 => ! [Xy: a] :
% 0.16/0.42 ( ( Xs @ Xy )
% 0.16/0.42 <=> ( cQ @ Xx @ Xy ) ) ) ) )
% 0.16/0.42 = cP ) ) ) ).
% 0.16/0.42
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 ------------------------
% 1.33/1.12 ---- Embedded in THF ---
% 1.33/1.12 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.33/1.12 %%% Generated on Tue Feb 24 12:39:36 EST 2026
% 1.33/1.12 %%% using '$$dhol' embedding, version 1.3.0.
% 1.33/1.12 %%% Logic specification used:
% 1.33/1.12 %%% thf(spec, logic, $$dhol).
% 1.33/1.12
% 1.33/1.12 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.0QRCMYGmPO/DTF2DTF31191.p
% See solution above
% 1.33/1.12 ------------------------
% 1.33/1.12 ---- Cleaned THF ---
% 1.33/1.13 thf(a_type,type,
% 1.33/1.13 a: $tType ).
% 1.33/1.13
% 1.33/1.13 thf(cP,type,
% 1.33/1.13 cP: ( a > $o ) > $o ).
% 1.33/1.13
% 1.33/1.13 thf(cQ,type,
% 1.33/1.13 cQ: a > a > $o ).
% 1.33/1.13
% 1.33/1.13 thf(cQ_def,definition,
% 1.33/1.13 ( cQ
% 1.33/1.13 = ( ^ [X: a,Y: a] :
% 1.33/1.13 ? [S: a > $o] :
% 1.33/1.13 ( ( cP @ S )
% 1.33/1.13 & ( S @ X )
% 1.33/1.13 & ( S @ Y ) ) ) ) ).
% 1.33/1.13
% 1.33/1.13 thf(cTHM262_D_EXT2_pme,conjecture,
% 1.33/1.13 ( ! [Xq1: a > $o,Xq2: a > $o] :
% 1.33/1.13 ( ( ( Xq1 = Xq2 )
% 1.33/1.13 & ( cP @ Xq1 ) )
% 1.33/1.13 => ( cP @ Xq2 ) )
% 1.33/1.13 => ( ( ! [Xp: a > $o] :
% 1.33/1.13 ( ( cP @ Xp )
% 1.33/1.13 => ? [Xz: a] : ( Xp @ Xz ) )
% 1.33/1.13 & ! [Xx: a] :
% 1.33/1.13 ? [Xp: a > $o] :
% 1.33/1.13 ( ( cP @ Xp )
% 1.33/1.13 & ( Xp @ Xx ) )
% 1.33/1.13 & ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
% 1.33/1.13 ( ( ( cP @ Xp )
% 1.33/1.13 & ( cP @ Xq )
% 1.33/1.13 & ( Xp @ Xx )
% 1.33/1.13 & ( Xq @ Xx )
% 1.33/1.13 & ( Xp @ Xy ) )
% 1.33/1.13 => ( Xq @ Xy ) ) )
% 1.33/1.13 => ( ( ^ [Xs: a > $o] :
% 1.33/1.13 ( ? [Xz: a] : ( Xs @ Xz )
% 1.33/1.13 & ! [Xx: a] :
% 1.33/1.13 ( ( Xs @ Xx )
% 1.33/1.13 => ! [Xy: a] :
% 1.33/1.13 ( ( Xs @ Xy )
% 1.33/1.13 <=> ( cQ @ Xx @ Xy ) ) ) ) )
% 1.33/1.13 = cP ) ) ) ).
% 1.33/1.13 ------------------------
% 1.33/1.14 % (31299)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_31191 for (3000ds/183Mi)
% 1.33/1.14 % (31305)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_31191 for (3000ds/18Mi)
% 1.33/1.14 % (31304)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_31191 for (3000ds/275Mi)
% 1.33/1.14 % (31302)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_31191 for (3000ds/2Mi)
% 1.33/1.14 % (31301)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_31191 for (3000ds/27Mi)
% 1.33/1.14 % (31300)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_31191 for (3000ds/4Mi)
% 1.33/1.14 % (31303)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_31191 for (3000ds/2Mi)
% 1.33/1.14 % (31302)Instruction limit reached!
% 1.33/1.14 % (31302)------------------------------
% 1.33/1.14 % (31302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.14 % (31302)Termination reason: Unknown
% 1.33/1.14 % (31302)Termination phase: Saturation
% 1.33/1.14
% 1.33/1.14 % (31302)Memory used [KB]: 5500
% 1.33/1.14 % (31302)Time elapsed: 0.003 s
% 1.33/1.14 % (31302)Instructions burned: 3 (million)
% 1.33/1.14 % (31302)------------------------------
% 1.33/1.14 % (31302)------------------------------
% 1.33/1.14 % (31303)Instruction limit reached!
% 1.33/1.14 % (31303)------------------------------
% 1.33/1.14 % (31303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.14 % (31303)Termination reason: Unknown
% 1.33/1.14 % (31303)Termination phase: Saturation
% 1.33/1.14
% 1.33/1.14 % (31303)Memory used [KB]: 5500
% 1.33/1.14 % (31303)Time elapsed: 0.003 s
% 1.33/1.14 % (31303)Instructions burned: 4 (million)
% 1.33/1.14 % (31303)------------------------------
% 1.33/1.14 % (31303)------------------------------
% 1.33/1.14 % (31300)Instruction limit reached!
% 1.33/1.14 % (31300)------------------------------
% 1.33/1.14 % (31300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.14 % (31300)Termination reason: Unknown
% 1.33/1.14 % (31300)Termination phase: Saturation
% 1.33/1.14
% 1.33/1.14 % (31300)Memory used [KB]: 5500
% 1.33/1.14 % (31300)Time elapsed: 0.004 s
% 1.33/1.14 % (31300)Instructions burned: 5 (million)
% 1.33/1.14 % (31300)------------------------------
% 1.33/1.14 % (31300)------------------------------
% 1.33/1.15 % (31305)Instruction limit reached!
% 1.33/1.15 % (31305)------------------------------
% 1.33/1.15 % (31305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.15 % (31305)Termination reason: Unknown
% 1.33/1.15 % (31305)Termination phase: Saturation
% 1.33/1.15
% 1.33/1.15 % (31305)Memory used [KB]: 5628
% 1.33/1.15 % (31305)Time elapsed: 0.009 s
% 1.33/1.15 % (31305)Instructions burned: 20 (million)
% 1.33/1.15 % (31305)------------------------------
% 1.33/1.15 % (31305)------------------------------
% 1.33/1.15 % (31301)Instruction limit reached!
% 1.33/1.15 % (31301)------------------------------
% 1.33/1.15 % (31301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.15 % (31301)Termination reason: Unknown
% 1.33/1.15 % (31301)Termination phase: Saturation
% 1.33/1.15
% 1.33/1.15 % (31301)Memory used [KB]: 5628
% 1.33/1.15 % (31301)Time elapsed: 0.012 s
% 1.33/1.15 % (31301)Instructions burned: 28 (million)
% 1.33/1.15 % (31301)------------------------------
% 1.33/1.15 % (31301)------------------------------
% 1.33/1.15 % (31311)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/3Mi)
% 1.33/1.15 % (31312)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_31191 for (2999ds/37Mi)
% 1.33/1.15 % (31313)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_31191 for (2999ds/15Mi)
% 1.33/1.15 % (31311)Instruction limit reached!
% 1.33/1.15 % (31311)------------------------------
% 1.33/1.15 % (31311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.15 % (31311)Termination reason: Unknown
% 1.33/1.15 % (31311)Termination phase: Saturation
% 1.33/1.15
% 1.33/1.15 % (31311)Memory used [KB]: 1023
% 1.33/1.15 % (31311)Time elapsed: 0.002 s
% 1.33/1.15 % (31311)Instructions burned: 3 (million)
% 1.33/1.15 % (31311)------------------------------
% 1.33/1.15 % (31311)------------------------------
% 1.33/1.15 % (31317)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_31191 for (2999ds/3Mi)
% 1.33/1.16 % (31313)Instruction limit reached!
% 1.33/1.16 % (31313)------------------------------
% 1.33/1.16 % (31313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.16 % (31313)Termination reason: Unknown
% 1.33/1.16 % (31313)Termination phase: Saturation
% 1.33/1.16
% 1.33/1.16 % (31313)Memory used [KB]: 5628
% 1.33/1.16 % (31313)Time elapsed: 0.007 s
% 1.33/1.16 % (31313)Instructions burned: 17 (million)
% 1.33/1.16 % (31313)------------------------------
% 1.33/1.16 % (31313)------------------------------
% 1.33/1.16 % (31317)Instruction limit reached!
% 1.33/1.16 % (31317)------------------------------
% 1.33/1.16 % (31317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.16 % (31317)Termination reason: Unknown
% 1.33/1.16 % (31317)Termination phase: Saturation
% 1.33/1.16
% 1.33/1.16 % (31317)Memory used [KB]: 5500
% 1.33/1.16 % (31317)Time elapsed: 0.002 s
% 1.33/1.16 % (31317)Instructions burned: 3 (million)
% 1.33/1.16 % (31317)------------------------------
% 1.33/1.16 % (31317)------------------------------
% 1.33/1.16 % (31319)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_31191 for (2999ds/1041Mi)
% 1.33/1.16 % (31321)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/7Mi)
% 1.33/1.16 % (31312)Instruction limit reached!
% 1.33/1.16 % (31312)------------------------------
% 1.33/1.16 % (31312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.16 % (31312)Termination reason: Unknown
% 1.33/1.16 % (31312)Termination phase: Saturation
% 1.33/1.16
% 1.33/1.16 % (31312)Memory used [KB]: 6012
% 1.33/1.16 % (31312)Time elapsed: 0.012 s
% 1.33/1.16 % (31312)Instructions burned: 37 (million)
% 1.33/1.16 % (31312)------------------------------
% 1.33/1.16 % (31312)------------------------------
% 1.33/1.16 % (31321)Instruction limit reached!
% 1.33/1.16 % (31321)------------------------------
% 1.33/1.16 % (31321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.16 % (31321)Termination reason: Unknown
% 1.33/1.16 % (31321)Termination phase: Saturation
% 1.33/1.16
% 1.33/1.16 % (31321)Memory used [KB]: 1023
% 1.33/1.16 % (31321)Time elapsed: 0.004 s
% 1.33/1.16 % (31321)Instructions burned: 9 (million)
% 1.33/1.16 % (31321)------------------------------
% 1.33/1.16 % (31321)------------------------------
% 1.33/1.16 % (31325)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/16Mi)
% 1.33/1.17 % (31326)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_31191 for (2999ds/3Mi)
% 1.33/1.17 % (31326)Instruction limit reached!
% 1.33/1.17 % (31326)------------------------------
% 1.33/1.17 % (31326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.17 % (31326)Termination reason: Unknown
% 1.33/1.17 % (31326)Termination phase: Property scanning
% 1.33/1.17
% 1.33/1.17 % (31326)Memory used [KB]: 1023
% 1.33/1.17 % (31326)Time elapsed: 0.002 s
% 1.33/1.17 % (31326)Instructions burned: 3 (million)
% 1.33/1.17 % (31326)------------------------------
% 1.33/1.17 % (31326)------------------------------
% 1.33/1.17 % (31329)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_31191 for (2999ds/3Mi)
% 1.33/1.17 % (31329)Instruction limit reached!
% 1.33/1.17 % (31329)------------------------------
% 1.33/1.17 % (31329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.17 % (31329)Termination reason: Unknown
% 1.33/1.17 % (31329)Termination phase: Equality resolution with deletion
% 1.33/1.17
% 1.33/1.17 % (31329)Memory used [KB]: 1023
% 1.33/1.17 % (31329)Time elapsed: 0.002 s
% 1.33/1.17 % (31329)Instructions burned: 3 (million)
% 1.33/1.17 % (31329)------------------------------
% 1.33/1.17 % (31329)------------------------------
% 1.33/1.17 % (31325)Instruction limit reached!
% 1.33/1.17 % (31325)------------------------------
% 1.33/1.17 % (31325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.17 % (31325)Termination reason: Unknown
% 1.33/1.17 % (31325)Termination phase: Saturation
% 1.33/1.17
% 1.33/1.17 % (31325)Memory used [KB]: 5756
% 1.33/1.17 % (31325)Time elapsed: 0.007 s
% 1.33/1.17 % (31325)Instructions burned: 16 (million)
% 1.33/1.17 % (31325)------------------------------
% 1.33/1.17 % (31325)------------------------------
% 1.33/1.17 % (31331)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/7Mi)
% 1.33/1.17 % (31331)Refutation not found, incomplete strategy
% 1.33/1.17 % (31331)------------------------------
% 1.33/1.17 % (31331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.17 % (31331)Termination reason: Refutation not found, incomplete strategy
% 1.33/1.17
% 1.33/1.17
% 1.33/1.17 % (31331)Memory used [KB]: 5500
% 1.33/1.17 % (31331)Time elapsed: 0.003 s
% 1.33/1.17 % (31331)Instructions burned: 5 (million)
% 1.33/1.17 % (31331)------------------------------
% 1.33/1.17 % (31331)------------------------------
% 1.33/1.18 % (31333)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/3Mi)
% 1.33/1.18 % (31333)Instruction limit reached!
% 1.33/1.18 % (31333)------------------------------
% 1.33/1.18 % (31333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.18 % (31333)Termination reason: Unknown
% 1.33/1.18 % (31333)Termination phase: Property scanning
% 1.33/1.18
% 1.33/1.18 % (31333)Memory used [KB]: 1023
% 1.33/1.18 % (31333)Time elapsed: 0.002 s
% 1.33/1.18 % (31333)Instructions burned: 3 (million)
% 1.33/1.18 % (31333)------------------------------
% 1.33/1.18 % (31333)------------------------------
% 1.33/1.18 % (31336)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/4Mi)
% 1.33/1.18 % (31337)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/18Mi)
% 1.33/1.18 % (31336)Instruction limit reached!
% 1.33/1.18 % (31336)------------------------------
% 1.33/1.18 % (31336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.18 % (31336)Termination reason: Unknown
% 1.33/1.18 % (31336)Termination phase: Saturation
% 1.33/1.18
% 1.33/1.18 % (31336)Memory used [KB]: 5500
% 1.33/1.18 % (31336)Time elapsed: 0.003 s
% 1.33/1.18 % (31336)Instructions burned: 5 (million)
% 1.33/1.18 % (31336)------------------------------
% 1.33/1.18 % (31336)------------------------------
% 1.33/1.18 % (31339)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/710Mi)
% 1.33/1.19 % (31341)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/6Mi)
% 1.33/1.19 % (31337)Instruction limit reached!
% 1.33/1.19 % (31337)------------------------------
% 1.33/1.19 % (31337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.19 % (31337)Termination reason: Unknown
% 1.33/1.19 % (31337)Termination phase: Saturation
% 1.33/1.19
% 1.33/1.19 % (31337)Memory used [KB]: 5628
% 1.33/1.19 % (31337)Time elapsed: 0.008 s
% 1.33/1.19 % (31337)Instructions burned: 20 (million)
% 1.33/1.19 % (31337)------------------------------
% 1.33/1.19 % (31337)------------------------------
% 1.33/1.19 % (31341)Instruction limit reached!
% 1.33/1.19 % (31341)------------------------------
% 1.33/1.19 % (31341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.19 % (31341)Termination reason: Unknown
% 1.33/1.19 % (31341)Termination phase: Saturation
% 1.33/1.19
% 1.33/1.19 % (31341)Memory used [KB]: 5500
% 1.33/1.19 % (31341)Time elapsed: 0.004 s
% 1.33/1.19 % (31341)Instructions burned: 8 (million)
% 1.33/1.19 % (31341)------------------------------
% 1.33/1.19 % (31341)------------------------------
% 1.33/1.19 % (31346)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_31191 for (2999ds/902Mi)
% 1.36/1.20 % (31351)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_31191 for (2999ds/21Mi)
% 1.36/1.20 % (31353)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/5Mi)
% 1.36/1.20 % (31299)Instruction limit reached!
% 1.36/1.20 % (31299)------------------------------
% 1.36/1.20 % (31299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.20 % (31299)Termination reason: Unknown
% 1.36/1.20 % (31299)Termination phase: Saturation
% 1.36/1.20
% 1.36/1.20 % (31299)Memory used [KB]: 6908
% 1.36/1.20 % (31299)Time elapsed: 0.062 s
% 1.36/1.20 % (31299)Instructions burned: 186 (million)
% 1.36/1.20 % (31299)------------------------------
% 1.36/1.20 % (31299)------------------------------
% 1.36/1.20 % (31353)Instruction limit reached!
% 1.36/1.20 % (31353)------------------------------
% 1.36/1.20 % (31353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.20 % (31353)Termination reason: Unknown
% 1.36/1.20 % (31353)Termination phase: Saturation
% 1.36/1.20
% 1.36/1.20 % (31353)Memory used [KB]: 5500
% 1.36/1.20 % (31353)Time elapsed: 0.003 s
% 1.36/1.20 % (31353)Instructions burned: 6 (million)
% 1.36/1.20 % (31353)------------------------------
% 1.36/1.20 % (31353)------------------------------
% 1.36/1.20 % (31351)Instruction limit reached!
% 1.36/1.20 % (31351)------------------------------
% 1.36/1.20 % (31351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.20 % (31351)Termination reason: Unknown
% 1.36/1.20 % (31351)Termination phase: Saturation
% 1.36/1.20
% 1.36/1.20 % (31351)Memory used [KB]: 5628
% 1.36/1.20 % (31351)Time elapsed: 0.008 s
% 1.36/1.20 % (31351)Instructions burned: 21 (million)
% 1.36/1.20 % (31351)------------------------------
% 1.36/1.20 % (31351)------------------------------
% 1.36/1.21 % (31358)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_31191 for (2999ds/6Mi)
% 1.36/1.21 % (31359)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/377Mi)
% 1.36/1.21 % (31358)Instruction limit reached!
% 1.36/1.21 % (31358)------------------------------
% 1.36/1.21 % (31358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.21 % (31358)Termination reason: Unknown
% 1.36/1.21 % (31358)Termination phase: Saturation
% 1.36/1.21
% 1.36/1.21 % (31358)Memory used [KB]: 5500
% 1.36/1.21 % (31358)Time elapsed: 0.003 s
% 1.36/1.21 % (31358)Instructions burned: 6 (million)
% 1.36/1.21 % (31358)------------------------------
% 1.36/1.21 % (31358)------------------------------
% 1.36/1.21 % (31361)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_31191 for (2999ds/779Mi)
% 1.36/1.22 % (31364)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_31191 for (2999ds/19Mi)
% 1.36/1.22 % (31304)Instruction limit reached!
% 1.36/1.22 % (31304)------------------------------
% 1.36/1.22 % (31304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.22 % (31304)Termination reason: Unknown
% 1.36/1.22 % (31304)Termination phase: Saturation
% 1.36/1.22
% 1.36/1.22 % (31304)Memory used [KB]: 6012
% 1.36/1.22 % (31304)Time elapsed: 0.088 s
% 1.36/1.22 % (31304)Instructions burned: 276 (million)
% 1.36/1.22 % (31304)------------------------------
% 1.36/1.22 % (31304)------------------------------
% 1.36/1.23 % (31364)Instruction limit reached!
% 1.36/1.23 % (31364)------------------------------
% 1.36/1.23 % (31364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.23 % (31364)Termination reason: Unknown
% 1.36/1.23 % (31364)Termination phase: Saturation
% 1.36/1.23
% 1.36/1.23 % (31364)Memory used [KB]: 5628
% 1.36/1.23 % (31364)Time elapsed: 0.007 s
% 1.36/1.23 % (31364)Instructions burned: 19 (million)
% 1.36/1.23 % (31364)------------------------------
% 1.36/1.23 % (31364)------------------------------
% 1.36/1.23 % (31371)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/879Mi)
% 1.36/1.24 % (31373)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_31191 for (2999ds/17Mi)
% 1.36/1.24 % (31373)Instruction limit reached!
% 1.36/1.24 % (31373)------------------------------
% 1.36/1.24 % (31373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.24 % (31373)Termination reason: Unknown
% 1.36/1.24 % (31373)Termination phase: Saturation
% 1.36/1.24
% 1.36/1.24 % (31373)Memory used [KB]: 5628
% 1.36/1.24 % (31373)Time elapsed: 0.007 s
% 1.36/1.24 % (31373)Instructions burned: 17 (million)
% 1.36/1.24 % (31373)------------------------------
% 1.36/1.24 % (31373)------------------------------
% 1.36/1.25 % (31380)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_31191 for (2998ds/3Mi)
% 1.36/1.25 % (31380)Instruction limit reached!
% 1.36/1.25 % (31380)------------------------------
% 1.36/1.25 % (31380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.25 % (31380)Termination reason: Unknown
% 1.36/1.25 % (31380)Termination phase: Saturation
% 1.36/1.25
% 1.36/1.25 % (31380)Memory used [KB]: 5500
% 1.36/1.25 % (31380)Time elapsed: 0.003 s
% 1.36/1.25 % (31380)Instructions burned: 5 (million)
% 1.36/1.25 % (31380)------------------------------
% 1.36/1.25 % (31380)------------------------------
% 1.36/1.26 % (31383)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_31191 for (2998ds/30Mi)
% 1.36/1.27 % (31383)Instruction limit reached!
% 1.36/1.27 % (31383)------------------------------
% 1.36/1.27 % (31383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.27 % (31383)Termination reason: Unknown
% 1.36/1.27 % (31383)Termination phase: Saturation
% 1.36/1.27
% 1.36/1.27 % (31383)Memory used [KB]: 5628
% 1.36/1.27 % (31383)Time elapsed: 0.011 s
% 1.36/1.27 % (31383)Instructions burned: 30 (million)
% 1.36/1.27 % (31383)------------------------------
% 1.36/1.27 % (31383)------------------------------
% 1.36/1.28 % (31393)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_31191 for (2998ds/127Mi)
% 1.36/1.32 % (31393)Instruction limit reached!
% 1.36/1.32 % (31393)------------------------------
% 1.36/1.32 % (31393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.32 % (31393)Termination reason: Unknown
% 1.36/1.32 % (31393)Termination phase: Saturation
% 1.36/1.32
% 1.36/1.32 % (31393)Memory used [KB]: 6012
% 1.36/1.32 % (31393)Time elapsed: 0.043 s
% 1.36/1.32 % (31393)Instructions burned: 129 (million)
% 1.36/1.32 % (31393)------------------------------
% 1.36/1.32 % (31393)------------------------------
% 1.36/1.33 % (31359)Instruction limit reached!
% 1.36/1.33 % (31359)------------------------------
% 1.36/1.33 % (31359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.33 % (31359)Termination reason: Unknown
% 1.36/1.33 % (31359)Termination phase: Saturation
% 1.36/1.33
% 1.36/1.33 % (31359)Memory used [KB]: 6396
% 1.36/1.33 % (31359)Time elapsed: 0.117 s
% 1.36/1.33 % (31359)Instructions burned: 377 (million)
% 1.36/1.33 % (31359)------------------------------
% 1.36/1.33 % (31359)------------------------------
% 1.36/1.33 % (31415)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_31191 for (2998ds/100Mi)
% 1.36/1.33 % (31416)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_31191 for (2998ds/3Mi)
% 1.36/1.34 % (31416)Instruction limit reached!
% 1.36/1.34 % (31416)------------------------------
% 1.36/1.34 % (31416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.34 % (31416)Termination reason: Unknown
% 1.36/1.34 % (31416)Termination phase: Property scanning
% 1.36/1.34
% 1.36/1.34 % (31416)Memory used [KB]: 1023
% 1.36/1.34 % (31416)Time elapsed: 0.002 s
% 1.36/1.34 % (31416)Instructions burned: 3 (million)
% 1.36/1.34 % (31416)------------------------------
% 1.36/1.34 % (31416)------------------------------
% 1.36/1.34 % (31425)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_31191 for (2998ds/20Mi)
% 1.36/1.35 % (31425)Instruction limit reached!
% 1.36/1.35 % (31425)------------------------------
% 1.36/1.35 % (31425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.35 % (31425)Termination reason: Unknown
% 1.36/1.35 % (31425)Termination phase: Saturation
% 1.36/1.35
% 1.36/1.35 % (31425)Memory used [KB]: 5628
% 1.36/1.35 % (31425)Time elapsed: 0.008 s
% 1.36/1.35 % (31425)Instructions burned: 21 (million)
% 1.36/1.35 % (31425)------------------------------
% 1.36/1.35 % (31425)------------------------------
% 1.36/1.36 % (31436)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_31191 for (2997ds/86Mi)
% 1.36/1.36 % (31415)Instruction limit reached!
% 1.36/1.36 % (31415)------------------------------
% 1.36/1.36 % (31415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.36 % (31415)Termination reason: Unknown
% 1.36/1.36 % (31415)Termination phase: Saturation
% 1.36/1.36
% 1.36/1.36 % (31415)Memory used [KB]: 5756
% 1.36/1.36 % (31415)Time elapsed: 0.032 s
% 1.36/1.36 % (31415)Instructions burned: 102 (million)
% 1.36/1.36 % (31415)------------------------------
% 1.36/1.36 % (31415)------------------------------
% 1.36/1.37 % (31443)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_31191 for (2997ds/107Mi)
% 1.36/1.39 % (31436)Instruction limit reached!
% 1.36/1.39 % (31436)------------------------------
% 1.36/1.39 % (31436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.39 % (31436)Termination reason: Unknown
% 1.36/1.39 % (31436)Termination phase: Saturation
% 1.36/1.39
% 1.36/1.39 % (31436)Memory used [KB]: 6012
% 1.36/1.39 % (31436)Time elapsed: 0.029 s
% 1.36/1.39 % (31436)Instructions burned: 87 (million)
% 1.36/1.39 % (31436)------------------------------
% 1.36/1.39 % (31436)------------------------------
% 1.36/1.40 % (31457)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_31191 for (2997ds/39Mi)
% 1.36/1.41 % (31339)Instruction limit reached!
% 1.36/1.41 % (31339)------------------------------
% 1.36/1.41 % (31339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.41 % (31339)Termination reason: Unknown
% 1.36/1.41 % (31339)Termination phase: Saturation
% 1.36/1.41
% 1.36/1.41 % (31339)Memory used [KB]: 7419
% 1.36/1.41 % (31339)Time elapsed: 0.225 s
% 1.36/1.41 % (31339)Instructions burned: 711 (million)
% 1.36/1.41 % (31339)------------------------------
% 1.36/1.41 % (31339)------------------------------
% 1.36/1.41 % (31443)Instruction limit reached!
% 1.36/1.41 % (31443)------------------------------
% 1.36/1.41 % (31443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.41 % (31443)Termination reason: Unknown
% 1.36/1.41 % (31443)Termination phase: Saturation
% 1.36/1.41
% 1.36/1.41 % (31443)Memory used [KB]: 5884
% 1.36/1.41 % (31443)Time elapsed: 0.037 s
% 1.36/1.41 % (31443)Instructions burned: 109 (million)
% 1.36/1.41 % (31443)------------------------------
% 1.36/1.41 % (31443)------------------------------
% 1.36/1.41 % (31457)Instruction limit reached!
% 1.36/1.41 % (31457)------------------------------
% 1.36/1.41 % (31457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.41 % (31457)Termination reason: Unknown
% 1.36/1.41 % (31457)Termination phase: Saturation
% 1.36/1.41
% 1.36/1.41 % (31457)Memory used [KB]: 5628
% 1.36/1.41 % (31457)Time elapsed: 0.035 s
% 1.36/1.41 % (31457)Instructions burned: 40 (million)
% 1.36/1.41 % (31457)------------------------------
% 1.36/1.41 % (31457)------------------------------
% 1.36/1.42 % (31463)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_31191 for (2997ds/448Mi)
% 1.36/1.42 % (31464)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_31191 for (2997ds/46Mi)
% 1.36/1.42 % (31467)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_31191 for (2997ds/98Mi)
% 1.36/1.43 % (31464)Instruction limit reached!
% 1.36/1.43 % (31464)------------------------------
% 1.36/1.43 % (31464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.43 % (31464)Termination reason: Unknown
% 1.36/1.43 % (31464)Termination phase: Saturation
% 1.36/1.43
% 1.36/1.43 % (31464)Memory used [KB]: 5628
% 1.36/1.43 % (31464)Time elapsed: 0.038 s
% 1.36/1.43 % (31464)Instructions burned: 48 (million)
% 1.36/1.43 % (31464)------------------------------
% 1.36/1.43 % (31464)------------------------------
% 1.36/1.44 % (31478)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_31191 for (2997ds/507Mi)
% 1.36/1.45 % (31361)Instruction limit reached!
% 1.36/1.45 % (31361)------------------------------
% 1.36/1.45 % (31361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.45 % (31361)Termination reason: Unknown
% 1.36/1.45 % (31361)Termination phase: Saturation
% 1.36/1.45
% 1.36/1.45 % (31361)Memory used [KB]: 6780
% 1.36/1.45 % (31361)Time elapsed: 0.236 s
% 1.36/1.45 % (31361)Instructions burned: 780 (million)
% 1.36/1.45 % (31361)------------------------------
% 1.36/1.45 % (31361)------------------------------
% 1.36/1.45 % (31467)Instruction limit reached!
% 1.36/1.45 % (31467)------------------------------
% 1.36/1.45 % (31467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.45 % (31467)Termination reason: Unknown
% 1.36/1.45 % (31467)Termination phase: Saturation
% 1.36/1.45
% 1.36/1.45 % (31467)Memory used [KB]: 1151
% 1.36/1.45 % (31467)Time elapsed: 0.053 s
% 1.36/1.45 % (31467)Instructions burned: 99 (million)
% 1.36/1.45 % (31467)------------------------------
% 1.36/1.45 % (31467)------------------------------
% 1.36/1.46 % (31485)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_31191 for (2996ds/149Mi)
% 1.36/1.46 % (31487)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_31191 for (2996ds/39Mi)
% 1.36/1.46 % (31319)Instruction limit reached!
% 1.36/1.46 % (31319)------------------------------
% 1.36/1.46 % (31319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.46 % (31319)Termination reason: Unknown
% 1.36/1.46 % (31319)Termination phase: Saturation
% 1.36/1.46
% 1.36/1.46 % (31319)Memory used [KB]: 7547
% 1.36/1.46 % (31319)Time elapsed: 0.308 s
% 1.36/1.46 % (31319)Instructions burned: 1043 (million)
% 1.36/1.46 % (31319)------------------------------
% 1.36/1.46 % (31319)------------------------------
% 1.36/1.47 % (31346)Instruction limit reached!
% 1.36/1.47 % (31346)------------------------------
% 1.36/1.47 % (31346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.47 % (31346)Termination reason: Unknown
% 1.36/1.47 % (31346)Termination phase: Saturation
% 1.36/1.47
% 1.36/1.47 % (31346)Memory used [KB]: 6908
% 1.36/1.47 % (31346)Time elapsed: 0.277 s
% 1.36/1.47 % (31346)Instructions burned: 903 (million)
% 1.36/1.47 % (31346)------------------------------
% 1.36/1.47 % (31346)------------------------------
% 1.36/1.47 % (31487)Instruction limit reached!
% 1.36/1.47 % (31487)------------------------------
% 1.36/1.47 % (31487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.47 % (31487)Termination reason: Unknown
% 1.36/1.47 % (31487)Termination phase: Saturation
% 1.36/1.47
% 1.36/1.47 % (31487)Memory used [KB]: 5628
% 1.36/1.47 % (31487)Time elapsed: 0.038 s
% 1.36/1.47 % (31487)Instructions burned: 40 (million)
% 1.36/1.47 % (31487)------------------------------
% 1.36/1.47 % (31487)------------------------------
% 1.36/1.47 % (31492)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_31191 for (2996ds/6Mi)
% 1.36/1.48 % (31494)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_31191 for (2996ds/1087Mi)
% 1.36/1.48 % (31492)Instruction limit reached!
% 1.36/1.48 % (31492)------------------------------
% 1.36/1.48 % (31492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.48 % (31492)Termination reason: Unknown
% 1.36/1.48 % (31492)Termination phase: Saturation
% 1.36/1.48
% 1.36/1.48 % (31492)Memory used [KB]: 9978
% 1.36/1.48 % (31492)Time elapsed: 0.004 s
% 1.36/1.48 % (31492)Instructions burned: 8 (million)
% 1.36/1.48 % (31492)------------------------------
% 1.36/1.48 % (31492)------------------------------
% 1.36/1.48 % (31496)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_31191 for (2996ds/47Mi)
% 1.36/1.49 % (31499)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_31191 for (2996ds/44Mi)
% 1.36/1.50 % (31371)Instruction limit reached!
% 1.36/1.50 % (31371)------------------------------
% 1.36/1.50 % (31371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.50 % (31371)Termination reason: Unknown
% 1.36/1.50 % (31371)Termination phase: Saturation
% 1.36/1.50
% 1.36/1.50 % (31371)Memory used [KB]: 6780
% 1.36/1.50 % (31371)Time elapsed: 0.264 s
% 1.36/1.50 % (31371)Instructions burned: 882 (million)
% 1.36/1.50 % (31371)------------------------------
% 1.36/1.50 % (31371)------------------------------
% 1.36/1.50 % (31496)Instruction limit reached!
% 1.36/1.50 % (31496)------------------------------
% 1.36/1.50 % (31496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.50 % (31496)Termination reason: Unknown
% 1.36/1.50 % (31496)Termination phase: Saturation
% 1.36/1.50
% 1.36/1.50 % (31496)Memory used [KB]: 5756
% 1.36/1.50 % (31496)Time elapsed: 0.016 s
% 1.36/1.50 % (31496)Instructions burned: 47 (million)
% 1.36/1.50 % (31496)------------------------------
% 1.36/1.50 % (31496)------------------------------
% 1.36/1.50 % (31499)Instruction limit reached!
% 1.36/1.50 % (31499)------------------------------
% 1.36/1.50 % (31499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.50 % (31499)Termination reason: Unknown
% 1.36/1.50 % (31499)Termination phase: Saturation
% 1.36/1.50
% 1.36/1.50 % (31499)Memory used [KB]: 1151
% 1.36/1.50 % (31499)Time elapsed: 0.016 s
% 1.36/1.50 % (31499)Instructions burned: 45 (million)
% 1.36/1.50 % (31499)------------------------------
% 1.36/1.50 % (31499)------------------------------
% 1.36/1.51 % (31485)Instruction limit reached!
% 1.36/1.51 % (31485)------------------------------
% 1.36/1.51 % (31485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.51 % (31485)Termination reason: Unknown
% 1.36/1.51 % (31485)Termination phase: Saturation
% 1.36/1.51
% 1.36/1.51 % (31485)Memory used [KB]: 6140
% 1.36/1.51 % (31485)Time elapsed: 0.074 s
% 1.36/1.51 % (31485)Instructions burned: 150 (million)
% 1.36/1.51 % (31485)------------------------------
% 1.36/1.51 % (31485)------------------------------
% 1.36/1.51 % (31509)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_31191 for (2996ds/432Mi)
% 1.36/1.51 % (31510)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_31191 for (2996ds/62Mi)
% 1.36/1.51 % (31512)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_31191 for (2996ds/31Mi)
% 1.36/1.52 % (31514)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_31191 for (2996ds/96Mi)
% 1.36/1.52 % (31512)Instruction limit reached!
% 1.36/1.52 % (31512)------------------------------
% 1.36/1.52 % (31512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.52 % (31512)Termination reason: Unknown
% 1.36/1.52 % (31512)Termination phase: Saturation
% 1.36/1.52
% 1.36/1.52 % (31512)Memory used [KB]: 5628
% 1.36/1.52 % (31512)Time elapsed: 0.012 s
% 1.36/1.52 % (31512)Instructions burned: 32 (million)
% 1.36/1.52 % (31512)------------------------------
% 1.36/1.52 % (31512)------------------------------
% 1.36/1.53 % (31510)Instruction limit reached!
% 1.36/1.53 % (31510)------------------------------
% 1.36/1.53 % (31510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.53 % (31510)Termination reason: Unknown
% 1.36/1.53 % (31510)Termination phase: Saturation
% 1.36/1.53
% 1.36/1.53 % (31510)Memory used [KB]: 5628
% 1.36/1.53 % (31510)Time elapsed: 0.021 s
% 1.36/1.53 % (31510)Instructions burned: 63 (million)
% 1.36/1.53 % (31510)------------------------------
% 1.36/1.53 % (31510)------------------------------
% 1.36/1.53 % (31520)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_31191 for (2996ds/453Mi)
% 1.36/1.54 % (31523)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_31191 for (2996ds/71Mi)
% 1.36/1.55 % (31514)Instruction limit reached!
% 1.36/1.55 % (31514)------------------------------
% 1.36/1.55 % (31514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.55 % (31514)Termination reason: Unknown
% 1.36/1.55 % (31514)Termination phase: Saturation
% 1.36/1.55
% 1.36/1.55 % (31514)Memory used [KB]: 5756
% 1.36/1.55 % (31514)Time elapsed: 0.032 s
% 1.36/1.55 % (31514)Instructions burned: 97 (million)
% 1.36/1.55 % (31514)------------------------------
% 1.36/1.55 % (31514)------------------------------
% 1.36/1.56 % (31529)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_31191 for (2995ds/83Mi)
% 1.36/1.56 % (31463)Instruction limit reached!
% 1.36/1.56 % (31463)------------------------------
% 1.36/1.56 % (31463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.56 % (31463)Termination reason: Unknown
% 1.36/1.56 % (31463)Termination phase: Saturation
% 1.36/1.56
% 1.36/1.56 % (31463)Memory used [KB]: 6396
% 1.36/1.56 % (31463)Time elapsed: 0.162 s
% 1.36/1.56 % (31463)Instructions burned: 451 (million)
% 1.36/1.56 % (31463)------------------------------
% 1.36/1.56 % (31463)------------------------------
% 1.36/1.56 % (31523)Instruction limit reached!
% 1.36/1.56 % (31523)------------------------------
% 1.36/1.56 % (31523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.56 % (31523)Termination reason: Unknown
% 1.36/1.56 % (31523)Termination phase: Saturation
% 1.36/1.56
% 1.36/1.56 % (31523)Memory used [KB]: 5756
% 1.36/1.56 % (31523)Time elapsed: 0.024 s
% 1.36/1.56 % (31523)Instructions burned: 71 (million)
% 1.36/1.56 % (31523)------------------------------
% 1.36/1.56 % (31523)------------------------------
% 1.36/1.57 % (31534)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_31191 for (2995ds/11Mi)
% 1.36/1.57 % (31537)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_31191 for (2995ds/41Mi)
% 1.36/1.57 % (31534)Instruction limit reached!
% 1.36/1.57 % (31534)------------------------------
% 1.36/1.57 % (31534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.57 % (31534)Termination reason: Unknown
% 1.36/1.57 % (31534)Termination phase: Saturation
% 1.36/1.57
% 1.36/1.57 % (31534)Memory used [KB]: 5500
% 1.36/1.57 % (31534)Time elapsed: 0.005 s
% 1.36/1.57 % (31534)Instructions burned: 12 (million)
% 1.36/1.57 % (31534)------------------------------
% 1.36/1.57 % (31534)------------------------------
% 1.36/1.58 % (31541)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_31191 for (2995ds/6Mi)
% 1.36/1.58 % (31537)Instruction limit reached!
% 1.36/1.58 % (31537)------------------------------
% 1.36/1.58 % (31537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.58 % (31537)Termination reason: Unknown
% 1.36/1.58 % (31537)Termination phase: Saturation
% 1.36/1.58
% 1.36/1.58 % (31537)Memory used [KB]: 5628
% 1.36/1.58 % (31537)Time elapsed: 0.014 s
% 1.36/1.58 % (31537)Instructions burned: 41 (million)
% 1.36/1.58 % (31537)------------------------------
% 1.36/1.58 % (31537)------------------------------
% 1.36/1.58 % (31541)Instruction limit reached!
% 1.36/1.58 % (31541)------------------------------
% 1.36/1.58 % (31541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.58 % (31541)Termination reason: Unknown
% 1.36/1.58 % (31541)Termination phase: Saturation
% 1.36/1.58
% 1.36/1.58 % (31541)Memory used [KB]: 5500
% 1.36/1.58 % (31541)Time elapsed: 0.003 s
% 1.36/1.58 % (31541)Instructions burned: 6 (million)
% 1.36/1.58 % (31541)------------------------------
% 1.36/1.58 % (31541)------------------------------
% 1.36/1.58 % (31529)Instruction limit reached!
% 1.36/1.58 % (31529)------------------------------
% 1.36/1.58 % (31529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.58 % (31529)Termination reason: Unknown
% 1.36/1.58 % (31529)Termination phase: Saturation
% 1.36/1.58
% 1.36/1.58 % (31529)Memory used [KB]: 5884
% 1.36/1.58 % (31529)Time elapsed: 0.029 s
% 1.36/1.58 % (31529)Instructions burned: 86 (million)
% 1.36/1.58 % (31529)------------------------------
% 1.36/1.58 % (31529)------------------------------
% 1.36/1.59 % (31548)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_31191 for (2995ds/343Mi)
% 1.36/1.59 % (31549)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_31191 for (2995ds/109Mi)
% 1.36/1.60 % (31547)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_31191 for (2995ds/150Mi)
% 1.36/1.60 % (31478)Instruction limit reached!
% 1.36/1.60 % (31478)------------------------------
% 1.36/1.60 % (31478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.60 % (31478)Termination reason: Unknown
% 1.36/1.60 % (31478)Termination phase: Saturation
% 1.36/1.60
% 1.36/1.60 % (31478)Memory used [KB]: 6268
% 1.36/1.60 % (31478)Time elapsed: 0.181 s
% 1.36/1.60 % (31478)Instructions burned: 507 (million)
% 1.36/1.60 % (31478)------------------------------
% 1.36/1.60 % (31478)------------------------------
% 1.36/1.61 % (31554)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_31191 for (2995ds/253Mi)
% 1.36/1.63 % (31549)Instruction limit reached!
% 1.36/1.63 % (31549)------------------------------
% 1.36/1.63 % (31549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.63 % (31549)Termination reason: Unknown
% 1.36/1.63 % (31549)Termination phase: Saturation
% 1.36/1.63
% 1.36/1.63 % (31549)Memory used [KB]: 6140
% 1.36/1.63 % (31549)Time elapsed: 0.037 s
% 1.36/1.63 % (31549)Instructions burned: 110 (million)
% 1.36/1.63 % (31549)------------------------------
% 1.36/1.63 % (31549)------------------------------
% 1.36/1.63 % (31509)Instruction limit reached!
% 1.36/1.63 % (31509)------------------------------
% 1.36/1.63 % (31509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.63 % (31509)Termination reason: Unknown
% 1.36/1.63 % (31509)Termination phase: Saturation
% 1.36/1.63
% 1.36/1.63 % (31509)Memory used [KB]: 4349
% 1.36/1.63 % (31509)Time elapsed: 0.124 s
% 1.36/1.63 % (31509)Instructions burned: 434 (million)
% 1.36/1.63 % (31509)------------------------------
% 1.36/1.63 % (31509)------------------------------
% 1.36/1.64 % (31573)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_31191 for (2995ds/140Mi)
% 1.36/1.64 % (31574)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_31191 for (2995ds/614Mi)
% 1.36/1.67 % (31520)Refutation not found, non-redundant clauses discarded% (31520)------------------------------
% 1.36/1.67 % (31520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.67 % (31520)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.36/1.67
% 1.36/1.67 % (31520)Memory used [KB]: 6396
% 1.36/1.67 % (31520)Time elapsed: 0.143 s
% 1.36/1.67 % (31520)Instructions burned: 447 (million)
% 1.36/1.67 % (31520)------------------------------
% 1.36/1.67 % (31520)------------------------------
% 1.36/1.67 % (31547)Instruction limit reached!
% 1.36/1.67 % (31547)------------------------------
% 1.36/1.67 % (31547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.67 % (31547)Termination reason: Unknown
% 1.36/1.67 % (31547)Termination phase: Saturation
% 1.36/1.67
% 1.36/1.67 % (31547)Memory used [KB]: 6012
% 1.36/1.67 % (31547)Time elapsed: 0.078 s
% 1.36/1.67 % (31547)Instructions burned: 151 (million)
% 1.36/1.67 % (31547)------------------------------
% 1.36/1.67 % (31547)------------------------------
% 1.36/1.68 % (31573)Instruction limit reached!
% 1.36/1.68 % (31573)------------------------------
% 1.36/1.68 % (31573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.68 % (31573)Termination reason: Unknown
% 1.36/1.68 % (31573)Termination phase: Saturation
% 1.36/1.68
% 1.36/1.68 % (31573)Memory used [KB]: 5884
% 1.36/1.68 % (31573)Time elapsed: 0.044 s
% 1.36/1.68 % (31573)Instructions burned: 141 (million)
% 1.36/1.68 % (31573)------------------------------
% 1.36/1.68 % (31573)------------------------------
% 1.36/1.68 % (31595)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_31191 for (2994ds/202Mi)
% 1.36/1.68 % (31597)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_31191 for (2994ds/339Mi)
% 1.36/1.69 % (31598)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_31191 for (2994ds/283Mi)
% 1.36/1.69 % (31554)Instruction limit reached!
% 1.36/1.69 % (31554)------------------------------
% 1.36/1.69 % (31554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.69 % (31554)Termination reason: Unknown
% 1.36/1.69 % (31554)Termination phase: Saturation
% 1.36/1.69
% 1.36/1.69 % (31554)Memory used [KB]: 6140
% 1.36/1.69 % (31554)Time elapsed: 0.084 s
% 1.36/1.69 % (31554)Instructions burned: 255 (million)
% 1.36/1.69 % (31554)------------------------------
% 1.36/1.69 % (31554)------------------------------
% 1.36/1.70 % (31548)Instruction limit reached!
% 1.36/1.70 % (31548)------------------------------
% 1.36/1.70 % (31548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.70 % (31548)Termination reason: Unknown
% 1.36/1.70 % (31548)Termination phase: Saturation
% 1.36/1.70
% 1.36/1.70 % (31548)Memory used [KB]: 6268
% 1.36/1.70 % (31548)Time elapsed: 0.106 s
% 1.36/1.70 % (31548)Instructions burned: 345 (million)
% 1.36/1.70 % (31548)------------------------------
% 1.36/1.70 % (31548)------------------------------
% 1.36/1.70 % (31599)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_31191 for (2994ds/134Mi)
% 1.36/1.71 % (31600)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_31191 for (2994ds/298Mi)
% 1.36/1.75 % (31595)Instruction limit reached!
% 1.36/1.75 % (31595)------------------------------
% 1.36/1.75 % (31595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.75 % (31595)Termination reason: Unknown
% 1.36/1.75 % (31595)Termination phase: Saturation
% 1.36/1.75
% 1.36/1.75 % (31595)Memory used [KB]: 6012
% 1.36/1.75 % (31595)Time elapsed: 0.065 s
% 1.36/1.75 % (31595)Instructions burned: 203 (million)
% 1.36/1.75 % (31595)------------------------------
% 1.36/1.75 % (31595)------------------------------
% 1.36/1.75 % (31599)Instruction limit reached!
% 1.36/1.75 % (31599)------------------------------
% 1.36/1.75 % (31599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.75 % (31599)Termination reason: Unknown
% 1.36/1.75 % (31599)Termination phase: Saturation
% 1.36/1.75
% 1.36/1.75 % (31599)Memory used [KB]: 6012
% 1.36/1.75 % (31599)Time elapsed: 0.046 s
% 1.36/1.75 % (31599)Instructions burned: 134 (million)
% 1.36/1.75 % (31599)------------------------------
% 1.36/1.75 % (31599)------------------------------
% 1.36/1.76 % (31601)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_31191 for (2993ds/192Mi)
% 1.36/1.76 % (31602)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_31191 for (2993ds/258Mi)
% 1.36/1.77 % (31598)Instruction limit reached!
% 1.36/1.77 % (31598)------------------------------
% 1.36/1.77 % (31598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.77 % (31598)Termination reason: Unknown
% 1.36/1.77 % (31598)Termination phase: Saturation
% 1.36/1.77
% 1.36/1.77 % (31598)Memory used [KB]: 7675
% 1.36/1.77 % (31598)Time elapsed: 0.081 s
% 1.36/1.77 % (31598)Instructions burned: 283 (million)
% 1.36/1.77 % (31598)------------------------------
% 1.36/1.77 % (31598)------------------------------
% 1.36/1.78 % (31603)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_31191 for (2993ds/90Mi)
% 1.36/1.79 % (31597)Instruction limit reached!
% 1.36/1.79 % (31597)------------------------------
% 1.36/1.79 % (31597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.79 % (31597)Termination reason: Unknown
% 1.36/1.79 % (31597)Termination phase: Saturation
% 1.36/1.79
% 1.36/1.79 % (31597)Memory used [KB]: 5884
% 1.36/1.79 % (31597)Time elapsed: 0.103 s
% 1.36/1.79 % (31597)Instructions burned: 340 (million)
% 1.36/1.79 % (31597)------------------------------
% 1.36/1.79 % (31597)------------------------------
% 1.36/1.80 % (31604)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_31191 for (2993ds/231Mi)
% 1.36/1.80 % (31600)Instruction limit reached!
% 1.36/1.80 % (31600)------------------------------
% 1.36/1.80 % (31600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.80 % (31600)Termination reason: Unknown
% 1.36/1.80 % (31600)Termination phase: Saturation
% 1.36/1.80
% 1.36/1.80 % (31600)Memory used [KB]: 6268
% 1.36/1.80 % (31600)Time elapsed: 0.096 s
% 1.36/1.80 % (31600)Instructions burned: 301 (million)
% 1.36/1.80 % (31600)------------------------------
% 1.36/1.80 % (31600)------------------------------
% 1.36/1.81 % (31494)Instruction limit reached!
% 1.36/1.81 % (31494)------------------------------
% 1.36/1.81 % (31494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.81 % (31494)Termination reason: Unknown
% 1.36/1.81 % (31494)Termination phase: Saturation
% 1.36/1.81
% 1.36/1.81 % (31494)Memory used [KB]: 6396
% 1.36/1.81 % (31494)Time elapsed: 0.332 s
% 1.36/1.81 % (31494)Instructions burned: 1089 (million)
% 1.36/1.81 % (31494)------------------------------
% 1.36/1.81 % (31494)------------------------------
% 1.36/1.81 % (31603)Instruction limit reached!
% 1.36/1.81 % (31603)------------------------------
% 1.36/1.81 % (31603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.81 % (31603)Termination reason: Unknown
% 1.36/1.81 % (31603)Termination phase: Saturation
% 1.36/1.81
% 1.36/1.81 % (31603)Memory used [KB]: 5884
% 1.36/1.81 % (31603)Time elapsed: 0.030 s
% 1.36/1.81 % (31603)Instructions burned: 92 (million)
% 1.36/1.81 % (31603)------------------------------
% 1.36/1.81 % (31603)------------------------------
% 1.36/1.81 % (31605)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_31191 for (2993ds/458Mi)
% 1.36/1.82 % (31606)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_31191 for (2993ds/31Mi)
% 1.36/1.82 % (31601)Instruction limit reached!
% 1.36/1.82 % (31601)------------------------------
% 1.36/1.82 % (31601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.82 % (31601)Termination reason: Unknown
% 1.36/1.82 % (31601)Termination phase: Saturation
% 1.36/1.82
% 1.36/1.82 % (31601)Memory used [KB]: 6396
% 1.36/1.82 % (31601)Time elapsed: 0.062 s
% 1.36/1.82 % (31601)Instructions burned: 194 (million)
% 1.36/1.82 % (31601)------------------------------
% 1.36/1.82 % (31601)------------------------------
% 1.36/1.82 % (31607)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_31191 for (2993ds/297Mi)
% 1.36/1.83 % (31608)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_31191 for (2993ds/987Mi)
% 1.36/1.83 % (31606)Instruction limit reached!
% 1.36/1.83 % (31606)------------------------------
% 1.36/1.83 % (31606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.83 % (31606)Termination reason: Unknown
% 1.36/1.83 % (31606)Termination phase: Saturation
% 1.36/1.83
% 1.36/1.83 % (31606)Memory used [KB]: 5756
% 1.36/1.83 % (31606)Time elapsed: 0.012 s
% 1.36/1.83 % (31606)Instructions burned: 32 (million)
% 1.36/1.83 % (31606)------------------------------
% 1.36/1.83 % (31606)------------------------------
% 1.36/1.83 % (31574)Instruction limit reached!
% 1.36/1.83 % (31574)------------------------------
% 1.36/1.83 % (31574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.83 % (31574)Termination reason: Unknown
% 1.36/1.83 % (31574)Termination phase: Saturation
% 1.36/1.83
% 1.36/1.83 % (31574)Memory used [KB]: 6396
% 1.36/1.83 % (31574)Time elapsed: 0.192 s
% 1.36/1.83 % (31574)Instructions burned: 614 (million)
% 1.36/1.83 % (31574)------------------------------
% 1.36/1.83 % (31574)------------------------------
% 1.36/1.84 % (31609)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_31191 for (2993ds/182Mi)
% 1.36/1.84 % (31610)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_31191 for (2993ds/182Mi)
% 1.36/1.84 % (31602)Instruction limit reached!
% 1.36/1.84 % (31602)------------------------------
% 1.36/1.84 % (31602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.84 % (31602)Termination reason: Unknown
% 1.36/1.84 % (31602)Termination phase: Saturation
% 1.36/1.84
% 1.36/1.84 % (31602)Memory used [KB]: 6140
% 1.36/1.84 % (31602)Time elapsed: 0.085 s
% 1.36/1.84 % (31602)Instructions burned: 258 (million)
% 1.36/1.84 % (31602)------------------------------
% 1.36/1.84 % (31602)------------------------------
% 1.36/1.85 % (31611)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_31191 for (2993ds/154Mi)
% 1.36/1.87 % (31604)Instruction limit reached!
% 1.36/1.87 % (31604)------------------------------
% 1.36/1.87 % (31604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.87 % (31604)Termination reason: Unknown
% 1.36/1.87 % (31604)Termination phase: Saturation
% 1.36/1.87
% 1.36/1.87 % (31604)Memory used [KB]: 6524
% 1.36/1.87 % (31604)Time elapsed: 0.077 s
% 1.36/1.87 % (31604)Instructions burned: 232 (million)
% 1.36/1.87 % (31604)------------------------------
% 1.36/1.87 % (31604)------------------------------
% 1.36/1.88 % (31612)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_31191 for (2992ds/79Mi)
% 1.36/1.89 % (31609)Instruction limit reached!
% 1.36/1.89 % (31609)------------------------------
% 1.36/1.89 % (31609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.89 % (31609)Termination reason: Unknown
% 1.36/1.89 % (31609)Termination phase: Saturation
% 1.36/1.89
% 1.36/1.89 % (31609)Memory used [KB]: 6268
% 1.36/1.89 % (31609)Time elapsed: 0.078 s
% 1.36/1.89 % (31609)Instructions burned: 183 (million)
% 1.36/1.89 % (31609)------------------------------
% 1.36/1.89 % (31609)------------------------------
% 1.36/1.90 % (31611)Instruction limit reached!
% 1.36/1.90 % (31611)------------------------------
% 1.36/1.90 % (31611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.90 % (31611)Termination reason: Unknown
% 1.36/1.90 % (31611)Termination phase: Saturation
% 1.36/1.90
% 1.36/1.90 % (31611)Memory used [KB]: 6012
% 1.36/1.90 % (31611)Time elapsed: 0.071 s
% 1.36/1.90 % (31611)Instructions burned: 154 (million)
% 1.36/1.90 % (31611)------------------------------
% 1.36/1.90 % (31611)------------------------------
% 1.36/1.90 % (31610)Instruction limit reached!
% 1.36/1.90 % (31610)------------------------------
% 1.36/1.90 % (31610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.90 % (31610)Termination reason: Unknown
% 1.36/1.90 % (31610)Termination phase: Saturation
% 1.36/1.90
% 1.36/1.90 % (31610)Memory used [KB]: 5884
% 1.36/1.90 % (31610)Time elapsed: 0.082 s
% 1.36/1.90 % (31610)Instructions burned: 182 (million)
% 1.36/1.90 % (31610)------------------------------
% 1.36/1.90 % (31610)------------------------------
% 1.36/1.90 % (31613)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_31191 for (2992ds/216Mi)
% 1.36/1.90 % (31612)Instruction limit reached!
% 1.36/1.90 % (31612)------------------------------
% 1.36/1.90 % (31612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.90 % (31612)Termination reason: Unknown
% 1.36/1.90 % (31612)Termination phase: Saturation
% 1.36/1.90
% 1.36/1.91 % (31612)Memory used [KB]: 5628
% 1.36/1.91 % (31612)Time elapsed: 0.025 s
% 1.36/1.91 % (31612)Instructions burned: 79 (million)
% 1.36/1.91 % (31612)------------------------------
% 1.36/1.91 % (31612)------------------------------
% 1.36/1.91 % (31614)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_31191 for (2992ds/114Mi)
% 1.36/1.91 % (31607)Instruction limit reached!
% 1.36/1.91 % (31607)------------------------------
% 1.36/1.91 % (31607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.91 % (31607)Termination reason: Unknown
% 1.36/1.91 % (31607)Termination phase: Saturation
% 1.36/1.91
% 1.36/1.91 % (31607)Memory used [KB]: 5884
% 1.36/1.91 % (31607)Time elapsed: 0.091 s
% 1.36/1.91 % (31607)Instructions burned: 299 (million)
% 1.36/1.91 % (31607)------------------------------
% 1.36/1.91 % (31607)------------------------------
% 1.36/1.91 % (31615)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_31191 for (2992ds/922Mi)
% 1.36/1.91 % (31616)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_31191 for (2992ds/182Mi)
% 1.36/1.92 % (31617)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_31191 for (2992ds/164Mi)
% 1.36/1.94 % (31605)Instruction limit reached!
% 1.36/1.94 % (31605)------------------------------
% 1.36/1.94 % (31605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.94 % (31605)Termination reason: Unknown
% 1.36/1.94 % (31605)Termination phase: Saturation
% 1.36/1.94
% 1.36/1.94 % (31605)Memory used [KB]: 6140
% 1.36/1.94 % (31605)Time elapsed: 0.132 s
% 1.36/1.94 % (31605)Instructions burned: 459 (million)
% 1.36/1.94 % (31605)------------------------------
% 1.36/1.94 % (31605)------------------------------
% 1.36/1.94 % (31614)Instruction limit reached!
% 1.36/1.94 % (31614)------------------------------
% 1.36/1.94 % (31614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.94 % (31614)Termination reason: Unknown
% 1.36/1.94 % (31614)Termination phase: Saturation
% 1.36/1.94
% 1.36/1.94 % (31614)Memory used [KB]: 6268
% 1.36/1.94 % (31614)Time elapsed: 0.034 s
% 1.36/1.94 % (31614)Instructions burned: 116 (million)
% 1.36/1.94 % (31614)------------------------------
% 1.36/1.94 % (31614)------------------------------
% 1.36/1.95 % (31618)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_31191 for (2991ds/50Mi)
% 1.36/1.95 % (31619)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_31191 for (2991ds/368Mi)
% 1.36/1.97 % (31613)Instruction limit reached!
% 1.36/1.97 % (31613)------------------------------
% 1.36/1.97 % (31613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.97 % (31613)Termination reason: Unknown
% 1.36/1.97 % (31613)Termination phase: Saturation
% 1.36/1.97
% 1.36/1.97 % (31613)Memory used [KB]: 6140
% 1.36/1.97 % (31613)Time elapsed: 0.064 s
% 1.36/1.97 % (31613)Instructions burned: 216 (million)
% 1.36/1.97 % (31613)------------------------------
% 1.36/1.97 % (31613)------------------------------
% 1.36/1.97 % (31618)Instruction limit reached!
% 1.36/1.97 % (31618)------------------------------
% 1.36/1.97 % (31618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.97 % (31618)Termination reason: Unknown
% 1.36/1.97 % (31618)Termination phase: Saturation
% 1.36/1.97
% 1.36/1.97 % (31618)Memory used [KB]: 10618
% 1.36/1.97 % (31618)Time elapsed: 0.018 s
% 1.36/1.97 % (31618)Instructions burned: 52 (million)
% 1.36/1.97 % (31618)------------------------------
% 1.36/1.97 % (31618)------------------------------
% 1.36/1.97 % (31617)Instruction limit reached!
% 1.36/1.97 % (31617)------------------------------
% 1.36/1.97 % (31617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.97 % (31617)Termination reason: Unknown
% 1.36/1.97 % (31617)Termination phase: Saturation
% 1.36/1.97
% 1.36/1.97 % (31617)Memory used [KB]: 1279
% 1.36/1.97 % (31617)Time elapsed: 0.054 s
% 1.36/1.97 % (31617)Instructions burned: 164 (million)
% 1.36/1.97 % (31617)------------------------------
% 1.36/1.97 % (31617)------------------------------
% 1.36/1.97 % (31616)Instruction limit reached!
% 1.36/1.97 % (31616)------------------------------
% 1.36/1.97 % (31616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.97 % (31616)Termination reason: Unknown
% 1.36/1.97 % (31616)Termination phase: Saturation
% 1.36/1.97
% 1.36/1.97 % (31616)Memory used [KB]: 5756
% 1.36/1.97 % (31616)Time elapsed: 0.058 s
% 1.36/1.97 % (31616)Instructions burned: 183 (million)
% 1.36/1.97 % (31616)------------------------------
% 1.36/1.97 % (31616)------------------------------
% 1.36/1.97 % (31620)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_31191 for (2991ds/1021Mi)
% 1.36/1.98 % (31621)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_31191 for (2991ds/267Mi)
% 1.36/1.98 % (31622)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_31191 for (2991ds/204Mi)
% 1.36/1.98 % (31623)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_31191 for (2991ds/26Mi)
% 1.36/1.99 % (31623)Instruction limit reached!
% 1.36/1.99 % (31623)------------------------------
% 1.36/1.99 % (31623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.99 % (31623)Termination reason: Unknown
% 1.36/1.99 % (31623)Termination phase: Saturation
% 1.36/1.99
% 1.36/1.99 % (31623)Memory used [KB]: 5628
% 1.36/1.99 % (31623)Time elapsed: 0.010 s
% 1.36/1.99 % (31623)Instructions burned: 28 (million)
% 1.36/1.99 % (31623)------------------------------
% 1.36/1.99 % (31623)------------------------------
% 1.36/2.00 % (31624)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_31191 for (2991ds/53Mi)
% 7.49/2.01 % (31624)Instruction limit reached!
% 7.49/2.01 % (31624)------------------------------
% 7.49/2.01 % (31624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.01 % (31624)Termination reason: Unknown
% 7.49/2.01 % (31624)Termination phase: Saturation
% 7.49/2.01
% 7.49/2.01 % (31624)Memory used [KB]: 5628
% 7.49/2.01 % (31624)Time elapsed: 0.016 s
% 7.49/2.01 % (31624)Instructions burned: 53 (million)
% 7.49/2.01 % (31624)------------------------------
% 7.49/2.01 % (31624)------------------------------
% 7.49/2.02 % (31625)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_31191 for (2991ds/4436Mi)
% 7.49/2.05 % (31622)Instruction limit reached!
% 7.49/2.05 % (31622)------------------------------
% 7.49/2.05 % (31622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.05 % (31622)Termination reason: Unknown
% 7.49/2.05 % (31622)Termination phase: Saturation
% 7.49/2.05
% 7.49/2.05 % (31622)Memory used [KB]: 6140
% 7.49/2.05 % (31622)Time elapsed: 0.068 s
% 7.49/2.05 % (31622)Instructions burned: 206 (million)
% 7.49/2.05 % (31622)------------------------------
% 7.49/2.05 % (31622)------------------------------
% 7.49/2.06 % (31626)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_31191 for (2990ds/1539Mi)
% 7.49/2.06 % (31621)Instruction limit reached!
% 7.49/2.06 % (31621)------------------------------
% 7.49/2.06 % (31621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.06 % (31621)Termination reason: Unknown
% 7.49/2.06 % (31621)Termination phase: Saturation
% 7.49/2.06
% 7.49/2.06 % (31621)Memory used [KB]: 6780
% 7.49/2.06 % (31621)Time elapsed: 0.083 s
% 7.49/2.06 % (31621)Instructions burned: 268 (million)
% 7.49/2.06 % (31621)------------------------------
% 7.49/2.06 % (31621)------------------------------
% 7.49/2.07 % (31619)Instruction limit reached!
% 7.49/2.07 % (31619)------------------------------
% 7.49/2.07 % (31619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.07 % (31619)Termination reason: Unknown
% 7.49/2.07 % (31619)Termination phase: Saturation
% 7.49/2.07
% 7.49/2.07 % (31619)Memory used [KB]: 6780
% 7.49/2.07 % (31619)Time elapsed: 0.117 s
% 7.49/2.07 % (31619)Instructions burned: 368 (million)
% 7.49/2.07 % (31619)------------------------------
% 7.49/2.07 % (31619)------------------------------
% 7.49/2.07 % (31627)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_31191 for (2990ds/408Mi)
% 7.49/2.08 % (31628)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_31191 for (2990ds/5205Mi)
% 7.97/2.12 % (31608)Instruction limit reached!
% 7.97/2.12 % (31608)------------------------------
% 7.97/2.12 % (31608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.12 % (31608)Termination reason: Unknown
% 7.97/2.12 % (31608)Termination phase: Saturation
% 7.97/2.12
% 7.97/2.12 % (31608)Memory used [KB]: 7419
% 7.97/2.12 % (31608)Time elapsed: 0.320 s
% 7.97/2.12 % (31608)Instructions burned: 988 (million)
% 7.97/2.12 % (31608)------------------------------
% 7.97/2.12 % (31608)------------------------------
% 7.97/2.13 % (31629)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_31191 for (2990ds/1913Mi)
% 7.97/2.18 % (31615)Instruction limit reached!
% 7.97/2.18 % (31615)------------------------------
% 7.97/2.18 % (31615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.18 % (31615)Termination reason: Unknown
% 7.97/2.18 % (31615)Termination phase: Saturation
% 7.97/2.18
% 7.97/2.18 % (31615)Memory used [KB]: 6524
% 7.97/2.18 % (31615)Time elapsed: 0.269 s
% 7.97/2.18 % (31615)Instructions burned: 922 (million)
% 7.97/2.18 % (31615)------------------------------
% 7.97/2.18 % (31615)------------------------------
% 7.97/2.19 % (31630)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_31191 for (2989ds/4350Mi)
% 7.97/2.19 % (31627)Instruction limit reached!
% 7.97/2.19 % (31627)------------------------------
% 7.97/2.19 % (31627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.19 % (31627)Termination reason: Unknown
% 7.97/2.19 % (31627)Termination phase: Saturation
% 7.97/2.19
% 7.97/2.19 % (31627)Memory used [KB]: 7036
% 7.97/2.19 % (31627)Time elapsed: 0.123 s
% 7.97/2.19 % (31627)Instructions burned: 410 (million)
% 7.97/2.19 % (31627)------------------------------
% 7.97/2.19 % (31627)------------------------------
% 8.26/2.20 % (31631)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_31191 for (2989ds/68Mi)
% 8.26/2.22 % (31631)Instruction limit reached!
% 8.26/2.22 % (31631)------------------------------
% 8.26/2.22 % (31631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.26/2.22 % (31631)Termination reason: Unknown
% 8.26/2.22 % (31631)Termination phase: Saturation
% 8.26/2.22
% 8.26/2.22 % (31631)Memory used [KB]: 5884
% 8.26/2.22 % (31631)Time elapsed: 0.025 s
% 8.26/2.22 % (31631)Instructions burned: 68 (million)
% 8.26/2.22 % (31631)------------------------------
% 8.26/2.22 % (31631)------------------------------
% 8.26/2.23 % (31632)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_31191 for (2989ds/358Mi)
% 8.40/2.32 % (31620)Instruction limit reached!
% 8.40/2.32 % (31620)------------------------------
% 8.40/2.32 % (31620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.40/2.32 % (31620)Termination reason: Unknown
% 8.40/2.32 % (31620)Termination phase: Saturation
% 8.40/2.32
% 8.40/2.32 % (31620)Memory used [KB]: 7164
% 8.40/2.32 % (31620)Time elapsed: 0.350 s
% 8.40/2.32 % (31620)Instructions burned: 1023 (million)
% 8.40/2.32 % (31620)------------------------------
% 8.40/2.32 % (31620)------------------------------
% 8.40/2.33 % (31633)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_31191 for (2988ds/31Mi)
% 8.40/2.34 % (31632)Instruction limit reached!
% 8.40/2.34 % (31632)------------------------------
% 8.40/2.34 % (31632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.40/2.34 % (31632)Termination reason: Unknown
% 8.40/2.34 % (31632)Termination phase: Saturation
% 8.40/2.34
% 8.40/2.34 % (31632)Memory used [KB]: 6140
% 8.40/2.34 % (31632)Time elapsed: 0.113 s
% 8.40/2.34 % (31632)Instructions burned: 358 (million)
% 8.40/2.34 % (31632)------------------------------
% 8.40/2.34 % (31632)------------------------------
% 8.40/2.35 % (31633)Instruction limit reached!
% 8.40/2.35 % (31633)------------------------------
% 8.40/2.35 % (31633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.40/2.35 % (31633)Termination reason: Unknown
% 8.40/2.35 % (31633)Termination phase: Saturation
% 8.40/2.35
% 8.40/2.35 % (31633)Memory used [KB]: 5756
% 8.40/2.35 % (31633)Time elapsed: 0.013 s
% 8.40/2.35 % (31633)Instructions burned: 33 (million)
% 8.40/2.35 % (31633)------------------------------
% 8.40/2.35 % (31633)------------------------------
% 8.40/2.35 % (31634)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_31191 for (2987ds/279Mi)
% 8.40/2.36 % (31635)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_31191 for (2987ds/258Mi)
% 8.58/2.44 % (31635)Instruction limit reached!
% 8.58/2.44 % (31635)------------------------------
% 8.58/2.44 % (31635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.58/2.44 % (31635)Termination reason: Unknown
% 8.58/2.44 % (31635)Termination phase: Saturation
% 8.58/2.44
% 8.58/2.44 % (31635)Memory used [KB]: 6140
% 8.58/2.44 % (31635)Time elapsed: 0.081 s
% 8.58/2.44 % (31635)Instructions burned: 259 (million)
% 8.58/2.44 % (31635)------------------------------
% 8.58/2.44 % (31635)------------------------------
% 8.58/2.44 % (31634)Instruction limit reached!
% 8.58/2.44 % (31634)------------------------------
% 8.58/2.44 % (31634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.58/2.44 % (31634)Termination reason: Unknown
% 8.58/2.44 % (31634)Termination phase: Saturation
% 8.58/2.44
% 8.58/2.44 % (31634)Memory used [KB]: 6012
% 8.58/2.44 % (31634)Time elapsed: 0.085 s
% 8.58/2.44 % (31634)Instructions burned: 279 (million)
% 8.58/2.44 % (31634)------------------------------
% 8.58/2.44 % (31634)------------------------------
% 8.58/2.45 % (31636)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_31191 for (2987ds/26Mi)
% 8.58/2.45 % (31637)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_31191 for (2987ds/995Mi)
% 8.58/2.45 % (31636)Instruction limit reached!
% 8.58/2.45 % (31636)------------------------------
% 8.58/2.45 % (31636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.58/2.45 % (31636)Termination reason: Unknown
% 8.58/2.45 % (31636)Termination phase: Saturation
% 8.58/2.45
% 8.58/2.45 % (31636)Memory used [KB]: 5628
% 8.58/2.45 % (31636)Time elapsed: 0.010 s
% 8.58/2.45 % (31636)Instructions burned: 26 (million)
% 8.58/2.45 % (31636)------------------------------
% 8.58/2.45 % (31636)------------------------------
% 8.58/2.46 % (31638)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_31191 for (2986ds/373Mi)
% 8.78/2.53 % (31626)Instruction limit reached!
% 8.78/2.53 % (31626)------------------------------
% 8.78/2.53 % (31626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.78/2.53 % (31626)Termination reason: Unknown
% 8.78/2.53 % (31626)Termination phase: Saturation
% 8.78/2.53
% 8.78/2.53 % (31626)Memory used [KB]: 8187
% 8.78/2.53 % (31626)Time elapsed: 0.478 s
% 8.78/2.53 % (31626)Instructions burned: 1542 (million)
% 8.78/2.53 % (31626)------------------------------
% 8.78/2.53 % (31626)------------------------------
% 8.78/2.54 % (31639)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_31191 for (2986ds/253Mi)
% 8.78/2.58 % (31638)Instruction limit reached!
% 8.78/2.58 % (31638)------------------------------
% 8.78/2.58 % (31638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.78/2.58 % (31638)Termination reason: Unknown
% 8.78/2.58 % (31638)Termination phase: Saturation
% 8.78/2.58
% 8.78/2.58 % (31638)Memory used [KB]: 6652
% 8.78/2.58 % (31638)Time elapsed: 0.122 s
% 8.78/2.58 % (31638)Instructions burned: 376 (million)
% 8.78/2.58 % (31638)------------------------------
% 8.78/2.58 % (31638)------------------------------
% 8.78/2.59 % (31640)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_31191 for (2985ds/832Mi)
% 9.40/2.62 % (31639)Instruction limit reached!
% 9.40/2.62 % (31639)------------------------------
% 9.40/2.62 % (31639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.62 % (31639)Termination reason: Unknown
% 9.40/2.62 % (31639)Termination phase: Saturation
% 9.40/2.62
% 9.40/2.62 % (31639)Memory used [KB]: 5884
% 9.40/2.62 % (31639)Time elapsed: 0.080 s
% 9.40/2.62 % (31639)Instructions burned: 256 (million)
% 9.40/2.62 % (31639)------------------------------
% 9.40/2.62 % (31639)------------------------------
% 9.40/2.63 % (31641)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_31191 for (2985ds/668Mi)
% 9.49/2.71 % (31629)Instruction limit reached!
% 9.49/2.71 % (31629)------------------------------
% 9.49/2.71 % (31629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.49/2.71 % (31629)Termination reason: Unknown
% 9.49/2.71 % (31629)Termination phase: Saturation
% 9.49/2.71
% 9.49/2.71 % (31629)Memory used [KB]: 2174
% 9.49/2.71 % (31629)Time elapsed: 0.580 s
% 9.49/2.71 % (31629)Instructions burned: 1916 (million)
% 9.49/2.71 % (31629)------------------------------
% 9.49/2.71 % (31629)------------------------------
% 9.49/2.72 % (31642)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_31191 for (2984ds/40Mi)
% 9.49/2.74 % (31642)Instruction limit reached!
% 9.49/2.74 % (31642)------------------------------
% 9.49/2.74 % (31642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.49/2.74 % (31642)Termination reason: Unknown
% 9.49/2.74 % (31642)Termination phase: Saturation
% 9.49/2.74
% 9.49/2.74 % (31642)Memory used [KB]: 5756
% 9.49/2.74 % (31642)Time elapsed: 0.035 s
% 9.49/2.74 % (31642)Instructions burned: 41 (million)
% 9.49/2.74 % (31642)------------------------------
% 9.49/2.74 % (31642)------------------------------
% 9.49/2.74 % (31637)Refutation not found, non-redundant clauses discarded% (31637)------------------------------
% 9.49/2.74 % (31637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.49/2.74 % (31637)Termination reason: Refutation not found, non-redundant clauses discarded
% 9.49/2.74
% 9.49/2.74 % (31637)Memory used [KB]: 6652
% 9.49/2.74 % (31637)Time elapsed: 0.295 s
% 9.49/2.74 % (31637)Instructions burned: 968 (million)
% 9.49/2.74 % (31637)------------------------------
% 9.49/2.74 % (31637)------------------------------
% 9.49/2.74 % (31643)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_31191 for (2984ds/294Mi)
% 9.49/2.75 % (31644)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_31191 for (2983ds/187Mi)
% 10.41/2.81 % (31644)Instruction limit reached!
% 10.41/2.81 % (31644)------------------------------
% 10.41/2.81 % (31644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.41/2.81 % (31644)Termination reason: Unknown
% 10.41/2.81 % (31644)Termination phase: Saturation
% 10.41/2.81
% 10.41/2.81 % (31644)Memory used [KB]: 6524
% 10.41/2.81 % (31644)Time elapsed: 0.062 s
% 10.41/2.81 % (31644)Instructions burned: 187 (million)
% 10.41/2.81 % (31644)------------------------------
% 10.41/2.81 % (31644)------------------------------
% 10.41/2.82 % (31646)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_31191 for (2983ds/371Mi)
% 10.41/2.83 % (31641)Instruction limit reached!
% 10.41/2.83 % (31641)------------------------------
% 10.41/2.83 % (31641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.41/2.83 % (31641)Termination reason: Unknown
% 10.41/2.83 % (31641)Termination phase: Saturation
% 10.41/2.83
% 10.41/2.83 % (31641)Memory used [KB]: 13048
% 10.41/2.83 % (31641)Time elapsed: 0.202 s
% 10.41/2.83 % (31641)Instructions burned: 669 (million)
% 10.41/2.83 % (31641)------------------------------
% 10.41/2.83 % (31641)------------------------------
% 10.41/2.84 % (31640)Instruction limit reached!
% 10.41/2.84 % (31640)------------------------------
% 10.41/2.84 % (31640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.41/2.84 % (31640)Termination reason: Unknown
% 10.41/2.84 % (31640)Termination phase: Saturation
% 10.41/2.84
% 10.41/2.84 % (31640)Memory used [KB]: 6012
% 10.41/2.84 % (31640)Time elapsed: 0.245 s
% 10.41/2.84 % (31640)Instructions burned: 832 (million)
% 10.41/2.84 % (31640)------------------------------
% 10.41/2.84 % (31640)------------------------------
% 10.41/2.84 % (31643)Instruction limit reached!
% 10.41/2.84 % (31643)------------------------------
% 10.41/2.84 % (31643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.41/2.84 % (31643)Termination reason: Unknown
% 10.41/2.84 % (31643)Termination phase: Saturation
% 10.41/2.84
% 10.41/2.84 % (31643)Memory used [KB]: 6524
% 10.41/2.84 % (31643)Time elapsed: 0.115 s
% 10.41/2.84 % (31643)Instructions burned: 296 (million)
% 10.41/2.84 % (31643)------------------------------
% 10.41/2.84 % (31643)------------------------------
% 10.41/2.84 % (31647)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_31191 for (2982ds/1827Mi)
% 10.41/2.85 % (31648)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_31191 for (2982ds/70Mi)
% 10.41/2.85 % (31649)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_31191 for (2982ds/316Mi)
% 10.41/2.87 % (31648)Instruction limit reached!
% 10.41/2.87 % (31648)------------------------------
% 10.41/2.87 % (31648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.41/2.87 % (31648)Termination reason: Unknown
% 10.41/2.87 % (31648)Termination phase: Saturation
% 10.41/2.87
% 10.41/2.87 % (31648)Memory used [KB]: 1535
% 10.41/2.87 % (31648)Time elapsed: 0.023 s
% 10.41/2.87 % (31648)Instructions burned: 73 (million)
% 10.41/2.87 % (31648)------------------------------
% 10.41/2.87 % (31648)------------------------------
% 10.41/2.88 % (31650)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_31191 for (2982ds/932Mi)
% 11.07/2.93 % (31646)Instruction limit reached!
% 11.07/2.93 % (31646)------------------------------
% 11.07/2.93 % (31646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.07/2.93 % (31646)Termination reason: Unknown
% 11.07/2.93 % (31646)Termination phase: Saturation
% 11.07/2.93
% 11.07/2.93 % (31646)Memory used [KB]: 6268
% 11.07/2.93 % (31646)Time elapsed: 0.114 s
% 11.07/2.93 % (31646)Instructions burned: 373 (million)
% 11.07/2.93 % (31646)------------------------------
% 11.07/2.93 % (31646)------------------------------
% 11.07/2.94 % (31649)Instruction limit reached!
% 11.07/2.94 % (31649)------------------------------
% 11.07/2.94 % (31649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.07/2.94 % (31649)Termination reason: Unknown
% 11.07/2.94 % (31649)Termination phase: Saturation
% 11.07/2.94
% 11.07/2.94 % (31649)Memory used [KB]: 6908
% 11.07/2.94 % (31649)Time elapsed: 0.093 s
% 11.07/2.94 % (31649)Instructions burned: 316 (million)
% 11.07/2.94 % (31649)------------------------------
% 11.07/2.94 % (31649)------------------------------
% 11.07/2.94 % (31651)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_31191 for (2981ds/4714Mi)
% 11.07/2.95 % (31652)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_31191 for (2981ds/8250Mi)
% 15.30/3.16 % (31650)Instruction limit reached!
% 15.30/3.16 % (31650)------------------------------
% 15.30/3.16 % (31650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.30/3.16 % (31650)Termination reason: Unknown
% 15.30/3.16 % (31650)Termination phase: Saturation
% 15.30/3.16
% 15.30/3.16 % (31650)Memory used [KB]: 9210
% 15.30/3.16 % (31650)Time elapsed: 0.279 s
% 15.30/3.16 % (31650)Instructions burned: 932 (million)
% 15.30/3.16 % (31650)------------------------------
% 15.30/3.16 % (31650)------------------------------
% 15.30/3.17 % (31653)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_31191 for (2979ds/770Mi)
% 16.37/3.32 % (31625)Instruction limit reached!
% 16.37/3.32 % (31625)------------------------------
% 16.37/3.32 % (31625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.37/3.32 % (31625)Termination reason: Unknown
% 16.37/3.32 % (31625)Termination phase: Saturation
% 16.37/3.32
% 16.37/3.32 % (31625)Memory used [KB]: 8059
% 16.37/3.32 % (31625)Time elapsed: 1.297 s
% 16.37/3.32 % (31625)Instructions burned: 4437 (million)
% 16.37/3.32 % (31625)------------------------------
% 16.37/3.32 % (31625)------------------------------
% 16.37/3.33 % (31654)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_31191 for (2978ds/794Mi)
% 16.90/3.40 % (31653)Instruction limit reached!
% 16.90/3.40 % (31653)------------------------------
% 16.90/3.40 % (31653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.90/3.40 % (31653)Termination reason: Unknown
% 16.90/3.40 % (31653)Termination phase: Saturation
% 16.90/3.40
% 16.90/3.40 % (31653)Memory used [KB]: 7675
% 16.90/3.40 % (31653)Time elapsed: 0.235 s
% 16.90/3.40 % (31653)Instructions burned: 771 (million)
% 16.90/3.40 % (31653)------------------------------
% 16.90/3.40 % (31653)------------------------------
% 16.90/3.40 % (31647)Instruction limit reached!
% 16.90/3.40 % (31647)------------------------------
% 16.90/3.40 % (31647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.90/3.40 % (31647)Termination reason: Unknown
% 16.90/3.40 % (31647)Termination phase: Saturation
% 16.90/3.40
% 16.90/3.40 % (31647)Memory used [KB]: 7803
% 16.90/3.40 % (31647)Time elapsed: 0.560 s
% 16.90/3.40 % (31647)Instructions burned: 1830 (million)
% 16.90/3.40 % (31647)------------------------------
% 16.90/3.40 % (31647)------------------------------
% 16.90/3.41 % (31655)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_31191 for (2977ds/464Mi)
% 16.90/3.41 % (31656)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_31191 for (2977ds/1376Mi)
% 16.90/3.47 % (31630)Instruction limit reached!
% 16.90/3.47 % (31630)------------------------------
% 16.90/3.47 % (31630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.90/3.47 % (31630)Termination reason: Unknown
% 16.90/3.47 % (31630)Termination phase: Saturation
% 16.90/3.47
% 16.90/3.47 % (31630)Memory used [KB]: 9210
% 16.90/3.47 % (31630)Time elapsed: 1.280 s
% 16.90/3.47 % (31630)Instructions burned: 4351 (million)
% 16.90/3.47 % (31630)------------------------------
% 16.90/3.47 % (31630)------------------------------
% 16.90/3.47 % (31657)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_31191 for (2976ds/906Mi)
% 17.54/3.55 % (31655)Instruction limit reached!
% 17.54/3.55 % (31655)------------------------------
% 17.54/3.55 % (31655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.54/3.55 % (31655)Termination reason: Unknown
% 17.54/3.55 % (31655)Termination phase: Saturation
% 17.54/3.55
% 17.54/3.55 % (31655)Memory used [KB]: 6396
% 17.54/3.55 % (31655)Time elapsed: 0.138 s
% 17.54/3.55 % (31655)Instructions burned: 465 (million)
% 17.54/3.55 % (31655)------------------------------
% 17.54/3.55 % (31655)------------------------------
% 17.54/3.56 % (31658)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_31191 for (2975ds/434Mi)
% 17.54/3.56 % (31628)Instruction limit reached!
% 17.54/3.56 % (31628)------------------------------
% 17.54/3.56 % (31628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.54/3.56 % (31628)Termination reason: Unknown
% 17.54/3.56 % (31628)Termination phase: Saturation
% 17.54/3.56
% 17.54/3.56 % (31628)Memory used [KB]: 12281
% 17.54/3.56 % (31628)Time elapsed: 1.488 s
% 17.54/3.56 % (31628)Instructions burned: 5205 (million)
% 17.54/3.56 % (31628)------------------------------
% 17.54/3.56 % (31628)------------------------------
% 17.54/3.56 % (31654)Instruction limit reached!
% 17.54/3.56 % (31654)------------------------------
% 17.54/3.56 % (31654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.54/3.56 % (31654)Termination reason: Unknown
% 17.54/3.56 % (31654)Termination phase: Saturation
% 17.54/3.56
% 17.54/3.56 % (31654)Memory used [KB]: 2942
% 17.54/3.56 % (31654)Time elapsed: 0.237 s
% 17.54/3.56 % (31654)Instructions burned: 794 (million)
% 17.54/3.56 % (31654)------------------------------
% 17.54/3.56 % (31654)------------------------------
% 17.54/3.57 % (31659)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_31191 for (2975ds/865Mi)
% 17.54/3.57 % (31660)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_31191 for (2975ds/593Mi)
% 18.22/3.69 % (31658)Refutation not found, non-redundant clauses discarded% (31658)------------------------------
% 18.22/3.69 % (31658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.22/3.69 % (31658)Termination reason: Refutation not found, non-redundant clauses discarded
% 18.22/3.69
% 18.22/3.69 % (31658)Memory used [KB]: 6652
% 18.22/3.69 % (31658)Time elapsed: 0.158 s
% 18.22/3.69 % (31658)Instructions burned: 429 (million)
% 18.22/3.69 % (31658)------------------------------
% 18.22/3.69 % (31658)------------------------------
% 18.56/3.70 % (31661)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_31191 for (2974ds/443Mi)
% 18.56/3.75 % (31660)Instruction limit reached!
% 18.56/3.75 % (31660)------------------------------
% 18.56/3.75 % (31660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.56/3.75 % (31660)Termination reason: Unknown
% 18.56/3.75 % (31660)Termination phase: Saturation
% 18.56/3.75
% 18.56/3.75 % (31660)Memory used [KB]: 6780
% 18.56/3.75 % (31660)Time elapsed: 0.198 s
% 18.56/3.75 % (31660)Instructions burned: 595 (million)
% 18.56/3.75 % (31660)------------------------------
% 18.56/3.75 % (31660)------------------------------
% 18.56/3.76 % (31662)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_31191 for (2973ds/594Mi)
% 18.56/3.79 % (31657)Instruction limit reached!
% 18.56/3.79 % (31657)------------------------------
% 18.56/3.79 % (31657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.56/3.79 % (31657)Termination reason: Unknown
% 18.56/3.79 % (31657)Termination phase: Saturation
% 18.56/3.79
% 18.56/3.79 % (31657)Memory used [KB]: 8955
% 18.56/3.79 % (31657)Time elapsed: 0.334 s
% 18.56/3.79 % (31657)Instructions burned: 908 (million)
% 18.56/3.79 % (31657)------------------------------
% 18.56/3.79 % (31657)------------------------------
% 19.27/3.80 % (31663)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_31191 for (2973ds/327Mi)
% 19.27/3.80 % (31656)Instruction limit reached!
% 19.27/3.80 % (31656)------------------------------
% 19.27/3.80 % (31656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.27/3.80 % (31656)Termination reason: Unknown
% 19.27/3.80 % (31656)Termination phase: Saturation
% 19.27/3.80
% 19.27/3.80 % (31656)Memory used [KB]: 13560
% 19.27/3.80 % (31656)Time elapsed: 0.395 s
% 19.27/3.80 % (31656)Instructions burned: 1378 (million)
% 19.27/3.80 % (31656)------------------------------
% 19.27/3.80 % (31656)------------------------------
% 19.27/3.81 % (31664)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_31191 for (2973ds/5411Mi)
% 19.27/3.83 % (31659)Instruction limit reached!
% 19.27/3.83 % (31659)------------------------------
% 19.27/3.83 % (31659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.27/3.83 % (31659)Termination reason: Unknown
% 19.27/3.83 % (31659)Termination phase: Saturation
% 19.27/3.83
% 19.27/3.83 % (31659)Memory used [KB]: 8699
% 19.27/3.83 % (31659)Time elapsed: 0.281 s
% 19.27/3.83 % (31659)Instructions burned: 866 (million)
% 19.27/3.83 % (31659)------------------------------
% 19.27/3.83 % (31659)------------------------------
% 19.27/3.84 % (31665)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_31191 for (2972ds/1762Mi)
% 19.27/3.84 % (31661)Instruction limit reached!
% 19.27/3.84 % (31661)------------------------------
% 19.27/3.84 % (31661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.27/3.84 % (31661)Termination reason: Unknown
% 19.27/3.84 % (31661)Termination phase: Saturation
% 19.27/3.84
% 19.27/3.84 % (31661)Memory used [KB]: 6780
% 19.27/3.84 % (31661)Time elapsed: 0.143 s
% 19.27/3.84 % (31661)Instructions burned: 444 (million)
% 19.27/3.84 % (31661)------------------------------
% 19.27/3.84 % (31661)------------------------------
% 19.27/3.85 % (31666)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_31191 for (2972ds/96Mi)
% 19.27/3.88 % (31666)Instruction limit reached!
% 19.27/3.88 % (31666)------------------------------
% 19.27/3.88 % (31666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.27/3.88 % (31666)Termination reason: Unknown
% 19.27/3.88 % (31666)Termination phase: Saturation
% 19.27/3.88
% 19.27/3.88 % (31666)Memory used [KB]: 5884
% 19.27/3.88 % (31666)Time elapsed: 0.031 s
% 19.27/3.88 % (31666)Instructions burned: 98 (million)
% 19.27/3.88 % (31666)------------------------------
% 19.27/3.88 % (31666)------------------------------
% 19.27/3.89 % (31667)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_31191 for (2972ds/503Mi)
% 20.32/3.90 % (31663)Instruction limit reached!
% 20.32/3.90 % (31663)------------------------------
% 20.32/3.90 % (31663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.32/3.90 % (31663)Termination reason: Unknown
% 20.32/3.90 % (31663)Termination phase: Saturation
% 20.32/3.90
% 20.32/3.90 % (31663)Memory used [KB]: 6908
% 20.32/3.90 % (31663)Time elapsed: 0.101 s
% 20.32/3.90 % (31663)Instructions burned: 327 (million)
% 20.32/3.90 % (31663)------------------------------
% 20.32/3.90 % (31663)------------------------------
% 20.32/3.91 % (31668)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_31191 for (2972ds/90Mi)
% 20.32/3.93 % (31668)Instruction limit reached!
% 20.32/3.93 % (31668)------------------------------
% 20.32/3.93 % (31668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.32/3.93 % (31668)Termination reason: Unknown
% 20.32/3.93 % (31668)Termination phase: Saturation
% 20.32/3.93
% 20.32/3.93 % (31668)Memory used [KB]: 5884
% 20.32/3.94 % (31668)Time elapsed: 0.030 s
% 20.32/3.94 % (31668)Instructions burned: 92 (million)
% 20.32/3.94 % (31668)------------------------------
% 20.32/3.94 % (31668)------------------------------
% 20.32/3.94 % (31662)Instruction limit reached!
% 20.32/3.94 % (31662)------------------------------
% 20.32/3.94 % (31662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.32/3.94 % (31662)Termination reason: Unknown
% 20.32/3.94 % (31662)Termination phase: Saturation
% 20.32/3.94
% 20.32/3.94 % (31662)Memory used [KB]: 6780
% 20.32/3.94 % (31662)Time elapsed: 0.187 s
% 20.32/3.94 % (31662)Instructions burned: 596 (million)
% 20.32/3.94 % (31662)------------------------------
% 20.32/3.94 % (31662)------------------------------
% 20.32/3.94 % (31669)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_31191 for (2971ds/593Mi)
% 20.32/3.95 % (31670)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_31191 for (2971ds/1512Mi)
% 21.61/4.05 % (31667)Instruction limit reached!
% 21.61/4.05 % (31667)------------------------------
% 21.61/4.05 % (31667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.61/4.05 % (31667)Termination reason: Unknown
% 21.61/4.05 % (31667)Termination phase: Saturation
% 21.61/4.05
% 21.61/4.05 % (31667)Memory used [KB]: 7291
% 21.61/4.05 % (31667)Time elapsed: 0.158 s
% 21.61/4.05 % (31667)Instructions burned: 503 (million)
% 21.61/4.05 % (31667)------------------------------
% 21.61/4.05 % (31667)------------------------------
% 21.61/4.06 % (31672)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_31191 for (2970ds/569Mi)
% 21.61/4.08 % (31651)Instruction limit reached!
% 21.61/4.08 % (31651)------------------------------
% 21.61/4.08 % (31651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.61/4.08 % (31651)Termination reason: Unknown
% 21.61/4.08 % (31651)Termination phase: Saturation
% 21.61/4.08
% 21.61/4.08 % (31651)Memory used [KB]: 7547
% 21.61/4.08 % (31651)Time elapsed: 1.138 s
% 21.61/4.08 % (31651)Instructions burned: 4716 (million)
% 21.61/4.08 % (31651)------------------------------
% 21.61/4.08 % (31651)------------------------------
% 21.61/4.09 % (31673)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_31191 for (2970ds/501Mi)
% 22.22/4.13 % (31669)Instruction limit reached!
% 22.22/4.13 % (31669)------------------------------
% 22.22/4.13 % (31669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.22/4.13 % (31669)Termination reason: Unknown
% 22.22/4.13 % (31669)Termination phase: Saturation
% 22.22/4.13
% 22.22/4.13 % (31669)Memory used [KB]: 7419
% 22.22/4.13 % (31669)Time elapsed: 0.183 s
% 22.22/4.13 % (31669)Instructions burned: 593 (million)
% 22.22/4.13 % (31669)------------------------------
% 22.22/4.13 % (31669)------------------------------
% 22.22/4.14 % (31674)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_31191 for (2970ds/562Mi)
% 22.52/4.23 % (31672)Refutation not found, non-redundant clauses discarded% (31672)------------------------------
% 22.52/4.23 % (31672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.52/4.23 % (31672)Termination reason: Refutation not found, non-redundant clauses discarded
% 22.52/4.23
% 22.52/4.23 % (31672)Memory used [KB]: 6652
% 22.52/4.23 % (31672)Time elapsed: 0.169 s
% 22.52/4.23 % (31672)Instructions burned: 567 (million)
% 22.52/4.23 % (31672)------------------------------
% 22.52/4.23 % (31672)------------------------------
% 22.52/4.23 % (31673)Instruction limit reached!
% 22.52/4.23 % (31673)------------------------------
% 22.52/4.23 % (31673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.52/4.23 % (31673)Termination reason: Unknown
% 22.52/4.23 % (31673)Termination phase: Saturation
% 22.52/4.23
% 22.52/4.23 % (31673)Memory used [KB]: 6780
% 22.52/4.23 % (31673)Time elapsed: 0.145 s
% 22.52/4.23 % (31673)Instructions burned: 502 (million)
% 22.52/4.23 % (31673)------------------------------
% 22.52/4.23 % (31673)------------------------------
% 22.52/4.24 % (31675)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_31191 for (2969ds/406Mi)
% 22.52/4.24 % (31676)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_31191 for (2969ds/582Mi)
% 23.25/4.31 % (31674)Instruction limit reached!
% 23.25/4.31 % (31674)------------------------------
% 23.25/4.31 % (31674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.25/4.31 % (31674)Termination reason: Unknown
% 23.25/4.31 % (31674)Termination phase: Saturation
% 23.25/4.31
% 23.25/4.31 % (31674)Memory used [KB]: 7164
% 23.25/4.31 % (31674)Time elapsed: 0.179 s
% 23.25/4.31 % (31674)Instructions burned: 562 (million)
% 23.25/4.31 % (31674)------------------------------
% 23.25/4.31 % (31674)------------------------------
% 23.25/4.32 % (31677)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_31191 for (2968ds/456Mi)
% 23.25/4.35 % (31670)Instruction limit reached!
% 23.25/4.35 % (31670)------------------------------
% 23.25/4.35 % (31670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.25/4.35 % (31670)Termination reason: Unknown
% 23.25/4.35 % (31670)Termination phase: Saturation
% 23.25/4.35
% 23.25/4.35 % (31670)Memory used [KB]: 6524
% 23.25/4.35 % (31670)Time elapsed: 0.396 s
% 23.25/4.35 % (31670)Instructions burned: 1512 (million)
% 23.25/4.35 % (31670)------------------------------
% 23.25/4.35 % (31670)------------------------------
% 23.25/4.36 % (31678)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_31191 for (2967ds/393Mi)
% 23.25/4.36 % (31665)Instruction limit reached!
% 23.25/4.36 % (31665)------------------------------
% 23.25/4.36 % (31665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.25/4.36 % (31665)Termination reason: Unknown
% 23.25/4.36 % (31665)Termination phase: Saturation
% 23.25/4.36
% 23.25/4.36 % (31665)Memory used [KB]: 9850
% 23.25/4.36 % (31665)Time elapsed: 0.524 s
% 23.25/4.36 % (31665)Instructions burned: 1764 (million)
% 23.25/4.36 % (31665)------------------------------
% 23.25/4.36 % (31665)------------------------------
% 23.25/4.37 % (31675)Instruction limit reached!
% 23.25/4.37 % (31675)------------------------------
% 23.25/4.37 % (31675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.25/4.37 % (31675)Termination reason: Unknown
% 23.25/4.37 % (31675)Termination phase: Saturation
% 23.25/4.37
% 23.25/4.37 % (31675)Memory used [KB]: 6140
% 23.25/4.37 % (31675)Time elapsed: 0.130 s
% 23.25/4.37 % (31675)Instructions burned: 408 (million)
% 23.25/4.37 % (31675)------------------------------
% 23.25/4.37 % (31675)------------------------------
% 23.25/4.37 % (31679)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_31191 for (2967ds/1335Mi)
% 23.25/4.38 % (31680)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_31191 for (2967ds/3373Mi)
% 23.92/4.41 % (31676)Instruction limit reached!
% 23.92/4.41 % (31676)------------------------------
% 23.92/4.41 % (31676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.92/4.41 % (31676)Termination reason: Unknown
% 23.92/4.41 % (31676)Termination phase: Saturation
% 23.92/4.41
% 23.92/4.41 % (31676)Memory used [KB]: 5884
% 23.92/4.41 % (31676)Time elapsed: 0.167 s
% 23.92/4.41 % (31676)Instructions burned: 583 (million)
% 23.92/4.41 % (31676)------------------------------
% 23.92/4.41 % (31676)------------------------------
% 23.92/4.42 % (31681)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_31191 for (2967ds/474Mi)
% 23.92/4.47 % (31677)Instruction limit reached!
% 23.92/4.47 % (31677)------------------------------
% 23.92/4.47 % (31677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.92/4.47 % (31677)Termination reason: Unknown
% 23.92/4.47 % (31677)Termination phase: Saturation
% 23.92/4.47
% 23.92/4.47 % (31677)Memory used [KB]: 6396
% 23.92/4.47 % (31677)Time elapsed: 0.144 s
% 23.92/4.47 % (31677)Instructions burned: 457 (million)
% 23.92/4.47 % (31677)------------------------------
% 23.92/4.47 % (31677)------------------------------
% 23.92/4.48 % (31682)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_31191 for (2966ds/157Mi)
% 23.92/4.48 % (31678)Instruction limit reached!
% 23.92/4.48 % (31678)------------------------------
% 23.92/4.48 % (31678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.92/4.48 % (31678)Termination reason: Unknown
% 23.92/4.48 % (31678)Termination phase: Saturation
% 23.92/4.48
% 23.92/4.48 % (31678)Memory used [KB]: 6524
% 23.92/4.48 % (31678)Time elapsed: 0.126 s
% 23.92/4.48 % (31678)Instructions burned: 394 (million)
% 23.92/4.48 % (31678)------------------------------
% 23.92/4.48 % (31678)------------------------------
% 23.92/4.49 % (31683)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_31191 for (2966ds/590Mi)
% 24.58/4.52 % (31682)Instruction limit reached!
% 24.58/4.52 % (31682)------------------------------
% 24.58/4.52 % (31682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.58/4.52 % (31682)Termination reason: Unknown
% 24.58/4.52 % (31682)Termination phase: Saturation
% 24.58/4.52
% 24.58/4.52 % (31682)Memory used [KB]: 6268
% 24.58/4.52 % (31682)Time elapsed: 0.050 s
% 24.58/4.52 % (31682)Instructions burned: 158 (million)
% 24.58/4.52 % (31682)------------------------------
% 24.58/4.52 % (31682)------------------------------
% 24.58/4.53 % (31684)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_31191 for (2966ds/104Mi)
% 24.58/4.56 % (31681)Instruction limit reached!
% 24.58/4.56 % (31681)------------------------------
% 24.58/4.56 % (31681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.58/4.56 % (31681)Termination reason: Unknown
% 24.58/4.56 % (31681)Termination phase: Saturation
% 24.58/4.56
% 24.58/4.56 % (31681)Memory used [KB]: 6652
% 24.58/4.56 % (31681)Time elapsed: 0.144 s
% 24.58/4.56 % (31681)Instructions burned: 474 (million)
% 24.58/4.56 % (31681)------------------------------
% 24.58/4.56 % (31681)------------------------------
% 24.58/4.57 % (31684)Instruction limit reached!
% 24.58/4.57 % (31684)------------------------------
% 24.58/4.57 % (31684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.58/4.57 % (31684)Termination reason: Unknown
% 24.58/4.57 % (31684)Termination phase: Saturation
% 24.58/4.57
% 24.58/4.57 % (31684)Memory used [KB]: 5756
% 24.58/4.57 % (31684)Time elapsed: 0.056 s
% 24.58/4.57 % (31684)Instructions burned: 104 (million)
% 24.58/4.57 % (31684)------------------------------
% 24.58/4.57 % (31684)------------------------------
% 24.58/4.57 % (31685)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_31191 for (2965ds/414Mi)
% 24.58/4.58 % (31686)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_31191 for (2965ds/715Mi)
% 25.03/4.68 % (31683)Instruction limit reached!
% 25.03/4.68 % (31683)------------------------------
% 25.03/4.68 % (31683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.03/4.68 % (31683)Termination reason: Unknown
% 25.03/4.68 % (31683)Termination phase: Saturation
% 25.03/4.68
% 25.03/4.68 % (31683)Memory used [KB]: 6908
% 25.03/4.68 % (31683)Time elapsed: 0.192 s
% 25.03/4.68 % (31683)Instructions burned: 593 (million)
% 25.03/4.68 % (31683)------------------------------
% 25.03/4.68 % (31683)------------------------------
% 25.03/4.69 % (31687)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_31191 for (2964ds/961Mi)
% 25.43/4.70 % (31685)Instruction limit reached!
% 25.43/4.70 % (31685)------------------------------
% 25.43/4.70 % (31685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.43/4.70 % (31685)Termination reason: Unknown
% 25.43/4.70 % (31685)Termination phase: Saturation
% 25.43/4.70
% 25.43/4.70 % (31685)Memory used [KB]: 6140
% 25.43/4.70 % (31685)Time elapsed: 0.153 s
% 25.43/4.70 % (31685)Instructions burned: 417 (million)
% 25.43/4.70 % (31685)------------------------------
% 25.43/4.70 % (31685)------------------------------
% 25.43/4.71 % (31688)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_31191 for (2964ds/1213Mi)
% 25.43/4.79 % (31679)Instruction limit reached!
% 25.43/4.79 % (31679)------------------------------
% 25.43/4.79 % (31679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.43/4.79 % (31679)Termination reason: Unknown
% 25.43/4.79 % (31679)Termination phase: Saturation
% 25.43/4.79
% 25.43/4.79 % (31679)Memory used [KB]: 8059
% 25.43/4.79 % (31679)Time elapsed: 0.412 s
% 25.43/4.79 % (31679)Instructions burned: 1338 (million)
% 25.43/4.79 % (31679)------------------------------
% 25.43/4.79 % (31679)------------------------------
% 25.43/4.80 % (31689)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_31191 for (2963ds/1979Mi)
% 26.19/4.80 % (31686)Instruction limit reached!
% 26.19/4.80 % (31686)------------------------------
% 26.19/4.80 % (31686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.19/4.80 % (31686)Termination reason: Unknown
% 26.19/4.80 % (31686)Termination phase: Saturation
% 26.19/4.80
% 26.19/4.80 % (31686)Memory used [KB]: 2430
% 26.19/4.80 % (31686)Time elapsed: 0.249 s
% 26.19/4.80 % (31686)Instructions burned: 715 (million)
% 26.19/4.80 % (31686)------------------------------
% 26.19/4.80 % (31686)------------------------------
% 26.19/4.81 % (31690)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_31191 for (2963ds/481Mi)
% 26.64/4.96 % (31690)Instruction limit reached!
% 26.64/4.96 % (31690)------------------------------
% 26.64/4.96 % (31690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.64/4.96 % (31690)Termination reason: Unknown
% 26.64/4.96 % (31690)Termination phase: Saturation
% 26.64/4.96
% 26.64/4.96 % (31690)Memory used [KB]: 6268
% 26.64/4.96 % (31690)Time elapsed: 0.150 s
% 26.64/4.96 % (31690)Instructions burned: 484 (million)
% 26.64/4.96 % (31690)------------------------------
% 26.64/4.96 % (31690)------------------------------
% 26.64/4.97 % (31691)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_31191 for (2961ds/783Mi)
% 26.64/4.99 % (31687)Instruction limit reached!
% 26.64/4.99 % (31687)------------------------------
% 26.64/4.99 % (31687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.64/4.99 % (31687)Termination reason: Unknown
% 26.64/4.99 % (31687)Termination phase: Saturation
% 26.64/4.99
% 26.64/4.99 % (31687)Memory used [KB]: 7419
% 26.64/4.99 % (31687)Time elapsed: 0.322 s
% 26.64/4.99 % (31687)Instructions burned: 962 (million)
% 26.64/4.99 % (31687)------------------------------
% 26.64/4.99 % (31687)------------------------------
% 26.64/5.00 % (31692)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_31191 for (2961ds/432Mi)
% 28.63/5.08 % (31688)Instruction limit reached!
% 28.63/5.08 % (31688)------------------------------
% 28.63/5.08 % (31688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.63/5.08 % (31688)Termination reason: Unknown
% 28.63/5.08 % (31688)Termination phase: Saturation
% 28.63/5.08
% 28.63/5.08 % (31688)Memory used [KB]: 7803
% 28.63/5.08 % (31688)Time elapsed: 0.373 s
% 28.63/5.08 % (31688)Instructions burned: 1214 (million)
% 28.63/5.08 % (31688)------------------------------
% 28.63/5.08 % (31688)------------------------------
% 28.63/5.09 % (31693)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_31191 for (2960ds/1670Mi)
% 29.30/5.13 % (31692)First to succeed.
% 29.30/5.13 % (31692)Refutation found. Thanks to Tanya!
% 29.30/5.13 % SZS status Theorem for DTF2THF_31191
% 29.30/5.13 % SZS output start Proof for DTF2THF_31191
% 29.30/5.13 thf(type_def_5, type, a: $tType).
% 29.30/5.13 thf(func_def_0, type, a: $tType).
% 29.30/5.13 thf(func_def_1, type, cP: (a > $o) > $o).
% 29.30/5.13 thf(func_def_2, type, cQ: a > a > $o).
% 29.30/5.13 thf(func_def_15, type, sK0: (a > $o) > a).
% 29.30/5.13 thf(func_def_16, type, sK1: a > a > $o).
% 29.30/5.13 thf(func_def_20, type, ph3: !>[X0: $tType]:(X0)).
% 29.30/5.13 thf(func_def_22, type, sK4: a > $o).
% 29.30/5.13 thf(func_def_23, type, sK5: a).
% 29.30/5.13 thf(func_def_24, type, sK6: a).
% 29.30/5.13 thf(func_def_25, type, sK7: a > $o).
% 29.30/5.13 thf(func_def_26, type, sK8: a).
% 29.30/5.13 thf(func_def_27, type, sK9: a > a > a > $o).
% 29.30/5.13 thf(func_def_28, type, sK10: a > a).
% 29.30/5.13 thf(func_def_29, type, sK11: a).
% 29.30/5.13 thf(func_def_30, type, sK12: a > a).
% 29.30/5.13 thf(func_def_33, type, sK13: a > a).
% 29.30/5.13 thf(func_def_34, type, sK14: a > a > a).
% 29.30/5.13 thf(func_def_35, type, sK15: a > a).
% 29.30/5.13 thf(func_def_36, type, sK16: a > a).
% 29.30/5.13 thf(func_def_37, type, sK17: a > a > a > a).
% 29.30/5.13 thf(func_def_38, type, sK18: a > a > a > a).
% 29.30/5.13 thf(func_def_43, type, sK19: a > a > a).
% 29.30/5.13 thf(func_def_48, type, sK20: a).
% 29.30/5.13 thf(func_def_49, type, sK21: a).
% 29.30/5.13 thf(func_def_50, type, sK22: a).
% 29.30/5.13 thf(func_def_51, type, sK23: a).
% 29.30/5.13 thf(func_def_52, type, sK24: a).
% 29.30/5.13 thf(func_def_53, type, sK25: a > a).
% 29.30/5.13 thf(func_def_54, type, sK26: (a > a > a) > a).
% 29.30/5.13 thf(f1690,plain,(
% 29.30/5.13 $false),
% 29.30/5.13 inference(avatar_sat_refutation,[status(thm)],[f84,f88,f92,f96,f101,f117,f122,f127,f135,f140,f143,f152,f155,f214,f247,f248,f257,f386,f407,f1689])).
% 29.30/5.13 thf(f1689,plain,(
% 29.30/5.13 spl2_10 | ~spl2_1 | spl2_2 | ~spl2_3 | ~spl2_4 | ~spl2_5),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f1683,f94,f90,f86,f81,f78,f115])).
% 29.30/5.13 thf(f115,definition,(
% 29.30/5.13 spl2_10 <=> ! [X1 : a] : ((sK4 @ X1) = $false)),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_10])],[avatar_definition])).
% 29.30/5.13 thf(f78,definition,(
% 29.30/5.13 spl2_1 <=> ! [X2 : a,X1 : a,X3 : a > $o] : (((sK4 @ X1) = $false) | ((sK4 @ X2) = $true) | ($false = (X3 @ X2)) | ((cP @ X3) = $false) | ((X3 @ X1) = $false))),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_1])],[avatar_definition])).
% 29.30/5.13 thf(f81,definition,(
% 29.30/5.13 spl2_2 <=> ((cP @ sK4) = $true)),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_2])],[avatar_definition])).
% 29.30/5.13 thf(f86,definition,(
% 29.30/5.13 spl2_3 <=> ! [X2 : a,X1 : a] : (((cP @ (sK9 @ X1 @ X2)) = $true) | ((sK4 @ X1) = $false) | ((sK4 @ X2) = $false))),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_3])],[avatar_definition])).
% 29.30/5.13 thf(f90,definition,(
% 29.30/5.13 spl2_4 <=> ! [X2 : a,X1 : a] : (((sK4 @ X1) = $false) | ((sK9 @ X1 @ X2 @ X1) = $true) | ((sK4 @ X2) = $false))),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_4])],[avatar_definition])).
% 29.30/5.13 thf(f94,definition,(
% 29.30/5.13 spl2_5 <=> ! [X2 : a,X1 : a] : (((sK9 @ X1 @ X2 @ X2) = $true) | ((sK4 @ X2) = $false) | ((sK4 @ X1) = $false))),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_5])],[avatar_definition])).
% 29.30/5.13 thf(f1683,plain,(
% 29.30/5.13 ( ! [X0 : a] : (((sK4 @ X0) = $false)) ) | (~spl2_1 | spl2_2 | ~spl2_3 | ~spl2_4 | ~spl2_5)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f1682])).
% 29.30/5.13 thf(f1682,plain,(
% 29.30/5.13 ( ! [X0 : a] : (($true = $false) | ((sK4 @ X0) = $false)) ) | (~spl2_1 | spl2_2 | ~spl2_3 | ~spl2_4 | ~spl2_5)),
% 29.30/5.13 inference(duplicate_literal_removal,[status(thm)],[f1671])).
% 29.30/5.13 thf(f1671,plain,(
% 29.30/5.13 ( ! [X0 : a] : (((sK4 @ X0) = $false) | ($true = $false) | ((sK4 @ X0) = $false)) ) | (~spl2_1 | spl2_2 | ~spl2_3 | ~spl2_4 | ~spl2_5)),
% 29.30/5.13 inference(superposition,[status(thm)],[f1333,f594])).
% 29.30/5.13 thf(f594,plain,(
% 29.30/5.13 ( ! [X0 : a] : (((sK4 @ (sK12 @ X0)) = $true) | ((sK4 @ X0) = $false)) ) | (~spl2_1 | spl2_2)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f593])).
% 29.30/5.13 thf(f593,plain,(
% 29.30/5.13 ( ! [X0 : a] : (($true = $false) | ((sK4 @ (sK12 @ X0)) = $true) | ((sK4 @ X0) = $false)) ) | (~spl2_1 | spl2_2)),
% 29.30/5.13 inference(duplicate_literal_removal,[status(thm)],[f586])).
% 29.30/5.13 thf(f586,plain,(
% 29.30/5.13 ( ! [X0 : a] : (((sK4 @ (sK12 @ X0)) = $true) | ((sK4 @ (sK12 @ X0)) = $true) | ((sK4 @ X0) = $false) | ($true = $false)) ) | (~spl2_1 | spl2_2)),
% 29.30/5.13 inference(superposition,[status(thm)],[f349,f324])).
% 29.30/5.13 thf(f324,plain,(
% 29.30/5.13 ( ! [X0 : a] : (($true = (sK1 @ X0 @ (sK12 @ X0))) | ((sK4 @ (sK12 @ X0)) = $true)) ) | spl2_2),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f323])).
% 29.30/5.13 thf(f323,plain,(
% 29.30/5.13 ( ! [X0 : a] : (((sK4 @ (sK12 @ X0)) != (sK1 @ X0 @ (sK12 @ X0)))) ) | spl2_2),
% 29.30/5.13 inference(negative_extensionality,[status(thm)],[f260])).
% 29.30/5.13 thf(f260,plain,(
% 29.30/5.13 ( ! [X0 : a] : ((sK4 != (sK1 @ X0))) ) | spl2_2),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f259])).
% 29.30/5.13 thf(f259,plain,(
% 29.30/5.13 ( ! [X0 : a] : (($true != $true) | (sK4 != (sK1 @ X0))) ) | spl2_2),
% 29.30/5.13 inference(constrained_superposition,[status(thm)],[f82,f18])).
% 29.30/5.13 thf(f18,plain,(
% 29.30/5.13 ( ! [X4 : a] : (((cP @ (sK1 @ X4)) = $true)) )),
% 29.30/5.13 inference(cnf_transformation,[status(thm)],[f14])).
% 29.30/5.13 thf(f14,plain,(
% 29.30/5.13 ! [X0 : a > $o] : (((X0 @ (sK0 @ X0)) = $true) | ($true != (cP @ X0))) & ! [X2 : a > $o,X3 : a > $o] : (((cP @ X2) = $true) | (X2 != X3) | ((cP @ X3) != $true)) & ! [X4 : a] : (((cP @ (sK1 @ X4)) = $true) & ((sK1 @ X4 @ X4) = $true)) & ! [X6 : a > $o,X7 : a > $o,X8 : a,X9 : a] : (((cP @ X6) != $true) | ((X6 @ X9) != $true) | ((X7 @ X9) = $true) | ($true != (cP @ X7)) | ((X6 @ X8) != $true) | ((X7 @ X8) != $true)) & (cP != (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: (Y0 @ Y1))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (cQ @ Y1 @ Y2))))))))))),
% 29.30/5.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13,f12])).
% 29.30/5.13 thf(f12,plain,(
% 29.30/5.13 ! [X0 : a > $o] : (? [X1 : a] : ($true = (X0 @ X1)) => ((X0 @ (sK0 @ X0)) = $true))),
% 29.30/5.13 introduced(definition,[],[choice_axiom])).
% 29.30/5.13 thf(f13,plain,(
% 29.30/5.13 ! [X4 : a] : (? [X5 : a > $o] : (((cP @ X5) = $true) & ((X5 @ X4) = $true)) => (((cP @ (sK1 @ X4)) = $true) & ((sK1 @ X4 @ X4) = $true)))),
% 29.30/5.13 introduced(definition,[],[choice_axiom])).
% 29.30/5.13 thf(f11,plain,(
% 29.30/5.13 ! [X0 : a > $o] : (? [X1 : a] : ($true = (X0 @ X1)) | ($true != (cP @ X0))) & ! [X2 : a > $o,X3 : a > $o] : (((cP @ X2) = $true) | (X2 != X3) | ((cP @ X3) != $true)) & ! [X4 : a] : ? [X5 : a > $o] : (((cP @ X5) = $true) & ((X5 @ X4) = $true)) & ! [X6 : a > $o,X7 : a > $o,X8 : a,X9 : a] : (((cP @ X6) != $true) | ((X6 @ X9) != $true) | ((X7 @ X9) = $true) | ($true != (cP @ X7)) | ((X6 @ X8) != $true) | ((X7 @ X8) != $true)) & (cP != (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: (Y0 @ Y1))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (cQ @ Y1 @ Y2))))))))))),
% 29.30/5.13 inference(rectify,[status(thm)],[f10])).
% 29.30/5.13 thf(f10,plain,(
% 29.30/5.13 ! [X8 : a > $o] : (? [X9 : a] : ($true = (X8 @ X9)) | ((cP @ X8) != $true)) & ! [X0 : a > $o,X1 : a > $o] : (($true = (cP @ X0)) | (X0 != X1) | ($true != (cP @ X1))) & ! [X2 : a] : ? [X3 : a > $o] : (((cP @ X3) = $true) & ($true = (X3 @ X2))) & ! [X4 : a > $o,X5 : a > $o,X6 : a,X7 : a] : (((cP @ X4) != $true) | ((X4 @ X7) != $true) | ((X5 @ X7) = $true) | ((cP @ X5) != $true) | ($true != (X4 @ X6)) | ((X5 @ X6) != $true)) & (cP != (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: (Y0 @ Y1))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (cQ @ Y1 @ Y2))))))))))),
% 29.30/5.13 inference(flattening,[status(thm)],[f9])).
% 29.30/5.13 thf(f9,plain,(
% 29.30/5.13 ((cP != (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: (Y0 @ Y1))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (cQ @ Y1 @ Y2)))))))))) & (! [X8 : a > $o] : (? [X9 : a] : ($true = (X8 @ X9)) | ((cP @ X8) != $true)) & ! [X2 : a] : ? [X3 : a > $o] : (((cP @ X3) = $true) & ($true = (X3 @ X2))) & ! [X4 : a > $o,X5 : a > $o,X6 : a,X7 : a] : (((X5 @ X7) = $true) | (((cP @ X5) != $true) | ((X4 @ X7) != $true) | ($true != (X4 @ X6)) | ((cP @ X4) != $true) | ((X5 @ X6) != $true))))) & ! [X0 : a > $o,X1 : a > $o] : (($true = (cP @ X0)) | (($true != (cP @ X1)) | (X0 != X1)))),
% 29.30/5.13 inference(ennf_transformation,[status(thm)],[f6])).
% 29.30/5.13 thf(f6,plain,(
% 29.30/5.13 ~(! [X0 : a > $o,X1 : a > $o] : ((($true = (cP @ X1)) & (X0 = X1)) => ($true = (cP @ X0))) => ((! [X8 : a > $o] : (((cP @ X8) = $true) => ? [X9 : a] : ($true = (X8 @ X9))) & ! [X2 : a] : ? [X3 : a > $o] : (((cP @ X3) = $true) & ($true = (X3 @ X2))) & ! [X4 : a > $o,X5 : a > $o,X6 : a,X7 : a] : ((((cP @ X5) = $true) & ((X4 @ X7) = $true) & ($true = (X4 @ X6)) & ((cP @ X4) = $true) & ((X5 @ X6) = $true)) => ((X5 @ X7) = $true))) => (cP = (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: (Y0 @ Y1))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (cQ @ Y1 @ Y2))))))))))))),
% 29.30/5.13 inference(fool_elimination,[status(thm)],[f5])).
% 29.30/5.13 thf(f5,plain,(
% 29.30/5.13 ~(! [X0 : a > $o,X1 : a > $o] : (((X0 = X1) & (cP @ X1)) => (cP @ X0)) => ((! [X2 : a] : ? [X3 : a > $o] : ((cP @ X3) & (X3 @ X2)) & ! [X4 : a > $o,X5 : a > $o,X6 : a,X7 : a] : (((X4 @ X7) & (X4 @ X6) & (cP @ X5) & (cP @ X4) & (X5 @ X6)) => (X5 @ X7)) & ! [X8 : a > $o] : ((cP @ X8) => ? [X9 : a] : (X8 @ X9))) => (cP = (^[X10 : a > $o] : (! [X11 : a] : ((X10 @ X11) => ! [X12 : a] : ((X10 @ X12) <=> (cQ @ X11 @ X12))) & ? [X13 : a] : (X10 @ X13))))))),
% 29.30/5.13 inference(rectify,[status(thm)],[f3])).
% 29.30/5.13 thf(f3,negated_conjecture,(
% 29.30/5.13 ~(! [X4 : a > $o,X3 : a > $o] : (((X3 = X4) & (cP @ X3)) => (cP @ X4)) => ((! [X7 : a] : ? [X5 : a > $o] : ((cP @ X5) & (X5 @ X7)) & ! [X5 : a > $o,X9 : a > $o,X7 : a,X8 : a] : (((X5 @ X8) & (X5 @ X7) & (cP @ X9) & (cP @ X5) & (X9 @ X7)) => (X9 @ X8)) & ! [X5 : a > $o] : ((cP @ X5) => ? [X6 : a] : (X5 @ X6))) => (cP = (^[X10 : a > $o] : (! [X7 : a] : ((X10 @ X7) => ! [X8 : a] : ((X10 @ X8) <=> (cQ @ X7 @ X8))) & ? [X6 : a] : (X10 @ X6))))))),
% 29.30/5.13 inference(negated_conjecture,[status(cth)],[f2])).
% 29.30/5.13 thf(f2,conjecture,(
% 29.30/5.13 ! [X4 : a > $o,X3 : a > $o] : (((X3 = X4) & (cP @ X3)) => (cP @ X4)) => ((! [X7 : a] : ? [X5 : a > $o] : ((cP @ X5) & (X5 @ X7)) & ! [X5 : a > $o,X9 : a > $o,X7 : a,X8 : a] : (((X5 @ X8) & (X5 @ X7) & (cP @ X9) & (cP @ X5) & (X9 @ X7)) => (X9 @ X8)) & ! [X5 : a > $o] : ((cP @ X5) => ? [X6 : a] : (X5 @ X6))) => (cP = (^[X10 : a > $o] : (! [X7 : a] : ((X10 @ X7) => ! [X8 : a] : ((X10 @ X8) <=> (cQ @ X7 @ X8))) & ? [X6 : a] : (X10 @ X6)))))),
% 29.30/5.13 file('/export/starexec/sandbox2/tmp/tmp.0QRCMYGmPO/DTF2THF_31191.p',cTHM262_D_EXT2_pme)).
% 29.30/5.13 thf(f82,plain,(
% 29.30/5.13 ((cP @ sK4) != $true) | spl2_2),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f81])).
% 29.30/5.13 thf(f349,plain,(
% 29.30/5.13 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ X1) = $false) | ($true = (sK4 @ X1)) | ((sK4 @ X0) = $false)) ) | ~spl2_1),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f339])).
% 29.30/5.13 thf(f339,plain,(
% 29.30/5.13 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ X1) = $false) | ($true = (sK4 @ X1)) | ((sK4 @ X0) = $false) | ($true = $false)) ) | ~spl2_1),
% 29.30/5.13 inference(superposition,[status(thm)],[f286,f17])).
% 29.30/5.13 thf(f17,plain,(
% 29.30/5.13 ( ! [X4 : a] : (((sK1 @ X4 @ X4) = $true)) )),
% 29.30/5.13 inference(cnf_transformation,[status(thm)],[f14])).
% 29.30/5.13 thf(f286,plain,(
% 29.30/5.13 ( ! [X2 : a,X0 : a,X1 : a] : (((sK1 @ X0 @ X2) = $false) | ($true = (sK4 @ X1)) | ((sK1 @ X0 @ X1) = $false) | ((sK4 @ X2) = $false)) ) | ~spl2_1),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f267])).
% 29.30/5.13 thf(f267,plain,(
% 29.30/5.13 ( ! [X2 : a,X0 : a,X1 : a] : (($true = $false) | ((sK4 @ X2) = $false) | ((sK1 @ X0 @ X2) = $false) | ((sK1 @ X0 @ X1) = $false) | ($true = (sK4 @ X1))) ) | ~spl2_1),
% 29.30/5.13 inference(superposition,[status(thm)],[f79,f18])).
% 29.30/5.13 thf(f79,plain,(
% 29.30/5.13 ( ! [X2 : a,X3 : a > $o,X1 : a] : (((cP @ X3) = $false) | ($false = (X3 @ X2)) | ((sK4 @ X1) = $false) | ((X3 @ X1) = $false) | ((sK4 @ X2) = $true)) ) | ~spl2_1),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f78])).
% 29.30/5.13 thf(f1333,plain,(
% 29.30/5.13 ( ! [X0 : a] : (((sK4 @ (sK12 @ X0)) = $false) | ((sK4 @ X0) = $false)) ) | (spl2_2 | ~spl2_3 | ~spl2_4 | ~spl2_5)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f1332])).
% 29.30/5.13 thf(f1332,plain,(
% 29.30/5.13 ( ! [X0 : a] : (((sK4 @ X0) = $false) | ((sK4 @ (sK12 @ X0)) = $false) | ($true = $false)) ) | (spl2_2 | ~spl2_3 | ~spl2_4 | ~spl2_5)),
% 29.30/5.13 inference(duplicate_literal_removal,[status(thm)],[f1298])).
% 29.30/5.13 thf(f1298,plain,(
% 29.30/5.13 ( ! [X0 : a] : (($true = $false) | ((sK4 @ (sK12 @ X0)) = $false) | ((sK4 @ X0) = $false) | ((sK4 @ (sK12 @ X0)) = $false)) ) | (spl2_2 | ~spl2_3 | ~spl2_4 | ~spl2_5)),
% 29.30/5.13 inference(superposition,[status(thm)],[f907,f325])).
% 29.30/5.13 thf(f325,plain,(
% 29.30/5.13 ( ! [X0 : a] : (((sK1 @ X0 @ (sK12 @ X0)) = $false) | ((sK4 @ (sK12 @ X0)) = $false)) ) | spl2_2),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f323])).
% 29.30/5.13 thf(f907,plain,(
% 29.30/5.13 ( ! [X0 : a,X1 : a] : (((sK1 @ X1 @ X0) = $true) | ((sK4 @ X0) = $false) | ((sK4 @ X1) = $false)) ) | (~spl2_3 | ~spl2_4 | ~spl2_5)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f906])).
% 29.30/5.13 thf(f906,plain,(
% 29.30/5.13 ( ! [X0 : a,X1 : a] : (((sK1 @ X1 @ X0) = $true) | ((sK4 @ X1) = $false) | ($true != $true) | ((sK4 @ X0) = $false)) ) | (~spl2_3 | ~spl2_4 | ~spl2_5)),
% 29.30/5.13 inference(duplicate_literal_removal,[status(thm)],[f897])).
% 29.30/5.13 thf(f897,plain,(
% 29.30/5.13 ( ! [X0 : a,X1 : a] : (((sK4 @ X0) = $false) | ((sK4 @ X1) = $false) | ((sK4 @ X0) = $false) | ((sK4 @ X1) = $false) | ($true != $true) | ((sK1 @ X1 @ X0) = $true)) ) | (~spl2_3 | ~spl2_4 | ~spl2_5)),
% 29.30/5.13 inference(superposition,[status(thm)],[f645,f91])).
% 29.30/5.13 thf(f91,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((sK9 @ X1 @ X2 @ X1) = $true) | ((sK4 @ X2) = $false) | ((sK4 @ X1) = $false)) ) | ~spl2_4),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f90])).
% 29.30/5.13 thf(f645,plain,(
% 29.30/5.13 ( ! [X2 : a,X0 : a,X1 : a] : (((sK9 @ X0 @ X1 @ X2) != $true) | ($true = (sK1 @ X1 @ X2)) | ((sK4 @ X0) = $false) | ((sK4 @ X1) = $false)) ) | (~spl2_3 | ~spl2_5)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f644])).
% 29.30/5.13 thf(f644,plain,(
% 29.30/5.13 ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | ((sK4 @ X1) = $false) | ((sK4 @ X0) = $false) | ($true = (sK1 @ X1 @ X2)) | ((sK9 @ X0 @ X1 @ X2) != $true)) ) | (~spl2_3 | ~spl2_5)),
% 29.30/5.13 inference(duplicate_literal_removal,[status(thm)],[f642])).
% 29.30/5.13 thf(f642,plain,(
% 29.30/5.13 ( ! [X2 : a,X0 : a,X1 : a] : (($true != $true) | ((sK4 @ X0) = $false) | ((sK9 @ X0 @ X1 @ X2) != $true) | ((sK4 @ X1) = $false) | ($true = (sK1 @ X1 @ X2)) | ((sK4 @ X0) = $false) | ((sK4 @ X1) = $false)) ) | (~spl2_3 | ~spl2_5)),
% 29.30/5.13 inference(superposition,[status(thm)],[f464,f95])).
% 29.30/5.13 thf(f95,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((sK9 @ X1 @ X2 @ X2) = $true) | ((sK4 @ X2) = $false) | ((sK4 @ X1) = $false)) ) | ~spl2_5),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f94])).
% 29.30/5.13 thf(f464,plain,(
% 29.30/5.13 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK9 @ X0 @ X1 @ X3) != $true) | ($true = (sK1 @ X3 @ X2)) | ((sK4 @ X1) = $false) | ((sK9 @ X0 @ X1 @ X2) != $true) | ((sK4 @ X0) = $false)) ) | ~spl2_3),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f454])).
% 29.30/5.13 thf(f454,plain,(
% 29.30/5.13 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (($true = (sK1 @ X3 @ X2)) | ($true != $true) | ((sK9 @ X0 @ X1 @ X2) != $true) | ((sK4 @ X0) = $false) | ((sK4 @ X1) = $false) | ((sK9 @ X0 @ X1 @ X3) != $true)) ) | ~spl2_3),
% 29.30/5.13 inference(superposition,[status(thm)],[f264,f87])).
% 29.30/5.13 thf(f87,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((cP @ (sK9 @ X1 @ X2)) = $true) | ((sK4 @ X2) = $false) | ((sK4 @ X1) = $false)) ) | ~spl2_3),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f86])).
% 29.30/5.13 thf(f264,plain,(
% 29.30/5.13 ( ! [X2 : a,X0 : a,X1 : a > $o] : (($true != (cP @ X1)) | ((X1 @ X2) != $true) | ($true != (X1 @ X0)) | ((sK1 @ X0 @ X2) = $true)) )),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f262])).
% 29.30/5.13 thf(f262,plain,(
% 29.30/5.13 ( ! [X2 : a,X0 : a,X1 : a > $o] : (($true != (cP @ X1)) | ($true != (X1 @ X0)) | ($true != $true) | ((X1 @ X2) != $true) | ((sK1 @ X0 @ X2) = $true)) )),
% 29.30/5.13 inference(superposition,[status(thm)],[f30,f17])).
% 29.30/5.13 thf(f30,plain,(
% 29.30/5.13 ( ! [X2 : a,X3 : a,X0 : a,X1 : a > $o] : (((sK1 @ X0 @ X2) != $true) | ($true != (cP @ X1)) | ((X1 @ X2) != $true) | ($true != (X1 @ X3)) | ((sK1 @ X0 @ X3) = $true)) )),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f29])).
% 29.30/5.13 thf(f29,plain,(
% 29.30/5.13 ( ! [X2 : a,X3 : a,X0 : a,X1 : a > $o] : (((sK1 @ X0 @ X3) = $true) | ((X1 @ X2) != $true) | ((sK1 @ X0 @ X2) != $true) | ($true != (cP @ X1)) | ($true != (X1 @ X3)) | ($true != $true)) )),
% 29.30/5.13 inference(superposition,[status(thm)],[f16,f18])).
% 29.30/5.13 thf(f16,plain,(
% 29.30/5.13 ( ! [X8 : a,X6 : a > $o,X9 : a,X7 : a > $o] : (($true != (cP @ X7)) | ((cP @ X6) != $true) | ((X6 @ X8) != $true) | ((X7 @ X9) = $true) | ((X6 @ X9) != $true) | ((X7 @ X8) != $true)) )),
% 29.30/5.13 inference(cnf_transformation,[status(thm)],[f14])).
% 29.30/5.13 thf(f407,plain,(
% 29.30/5.13 ~spl2_6 | ~spl2_10),
% 29.30/5.13 inference(avatar_contradiction_clause,[status(thm)],[f406])).
% 29.30/5.13 thf(f406,plain,(
% 29.30/5.13 $false | (~spl2_6 | ~spl2_10)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f395])).
% 29.30/5.13 thf(f395,plain,(
% 29.30/5.13 ($true = $false) | (~spl2_6 | ~spl2_10)),
% 29.30/5.13 inference(backward_demodulation,[status(thm)],[f100,f116])).
% 29.30/5.13 thf(f116,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((sK4 @ X1) = $false)) ) | ~spl2_10),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f115])).
% 29.30/5.13 thf(f100,plain,(
% 29.30/5.13 ($true = (sK4 @ sK8)) | ~spl2_6),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f98])).
% 29.30/5.13 thf(f98,definition,(
% 29.30/5.13 spl2_6 <=> ($true = (sK4 @ sK8))),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_6])],[avatar_definition])).
% 29.30/5.13 thf(f386,plain,(
% 29.30/5.13 ~spl2_15 | ~spl2_18),
% 29.30/5.13 inference(avatar_contradiction_clause,[status(thm)],[f385])).
% 29.30/5.13 thf(f385,plain,(
% 29.30/5.13 $false | (~spl2_15 | ~spl2_18)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f384])).
% 29.30/5.13 thf(f384,plain,(
% 29.30/5.13 ($true = $false) | (~spl2_15 | ~spl2_18)),
% 29.30/5.13 inference(backward_demodulation,[status(thm)],[f139,f213])).
% 29.30/5.13 thf(f213,plain,(
% 29.30/5.13 ((sK4 @ sK5) = $false) | ~spl2_18),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f211])).
% 29.30/5.13 thf(f211,definition,(
% 29.30/5.13 spl2_18 <=> ((sK4 @ sK5) = $false)),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_18])],[avatar_definition])).
% 29.30/5.13 thf(f139,plain,(
% 29.30/5.13 ((sK4 @ sK5) = $true) | ~spl2_15),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f137])).
% 29.30/5.13 thf(f137,definition,(
% 29.30/5.13 spl2_15 <=> ((sK4 @ sK5) = $true)),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_15])],[avatar_definition])).
% 29.30/5.13 thf(f257,plain,(
% 29.30/5.13 ~spl2_11 | ~spl2_15 | ~spl2_16),
% 29.30/5.13 inference(avatar_contradiction_clause,[status(thm)],[f256])).
% 29.30/5.13 thf(f256,plain,(
% 29.30/5.13 $false | (~spl2_11 | ~spl2_15 | ~spl2_16)),
% 29.30/5.13 inference(subsumption_resolution,[status(thm)],[f253,f139])).
% 29.30/5.13 thf(f253,plain,(
% 29.30/5.13 ((sK4 @ sK5) != $true) | (~spl2_11 | ~spl2_16)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f249])).
% 29.30/5.13 thf(f249,plain,(
% 29.30/5.13 ($true != $true) | ((sK4 @ sK5) != $true) | (~spl2_11 | ~spl2_16)),
% 29.30/5.13 inference(superposition,[status(thm)],[f178,f121])).
% 29.30/5.13 thf(f121,plain,(
% 29.30/5.13 ((sK7 @ sK5) = $true) | ~spl2_11),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f119])).
% 29.30/5.13 thf(f119,definition,(
% 29.30/5.13 spl2_11 <=> ((sK7 @ sK5) = $true)),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_11])],[avatar_definition])).
% 29.30/5.13 thf(f178,plain,(
% 29.30/5.13 ( ! [X0 : a] : (($true != (sK7 @ X0)) | ((sK4 @ X0) != $true)) ) | ~spl2_16),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f177])).
% 29.30/5.13 thf(f177,definition,(
% 29.30/5.13 spl2_16 <=> ! [X0 : a] : (((sK4 @ X0) != $true) | ($true != (sK7 @ X0)))),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_16])],[avatar_definition])).
% 29.30/5.13 thf(f248,plain,(
% 29.30/5.13 spl2_17 | spl2_16 | ~spl2_2 | ~spl2_8),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f226,f107,f81,f177,f180])).
% 29.30/5.13 thf(f180,definition,(
% 29.30/5.13 spl2_17 <=> ! [X1 : a] : (($true != (sK7 @ X1)) | ($true = (sK4 @ X1)))),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_17])],[avatar_definition])).
% 29.30/5.13 thf(f107,definition,(
% 29.30/5.13 spl2_8 <=> ((cP @ sK7) = $true)),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_8])],[avatar_definition])).
% 29.30/5.13 thf(f226,plain,(
% 29.30/5.13 ( ! [X0 : a,X1 : a] : (($true = (sK4 @ X1)) | ((sK4 @ X0) != $true) | ($true != (sK7 @ X0)) | ($true != (sK7 @ X1))) ) | (~spl2_2 | ~spl2_8)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f220])).
% 29.30/5.13 thf(f220,plain,(
% 29.30/5.13 ( ! [X0 : a,X1 : a] : (($true != (sK7 @ X0)) | ($true != (sK7 @ X1)) | ($true != $true) | ((sK4 @ X0) != $true) | ($true = (sK4 @ X1))) ) | (~spl2_2 | ~spl2_8)),
% 29.30/5.13 inference(superposition,[status(thm)],[f147,f109])).
% 29.30/5.13 thf(f109,plain,(
% 29.30/5.13 ((cP @ sK7) = $true) | ~spl2_8),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f107])).
% 29.30/5.13 thf(f147,plain,(
% 29.30/5.13 ( ! [X2 : a,X0 : a > $o,X1 : a] : (($true != (cP @ X0)) | ($true != (X0 @ X1)) | ((X0 @ X2) != $true) | ((sK4 @ X2) = $true) | ($true != (sK4 @ X1))) ) | ~spl2_2),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f144])).
% 29.30/5.13 thf(f144,plain,(
% 29.30/5.13 ( ! [X2 : a,X0 : a > $o,X1 : a] : (((X0 @ X2) != $true) | ($true != (cP @ X0)) | ($true != $true) | ($true != (X0 @ X1)) | ($true != (sK4 @ X1)) | ((sK4 @ X2) = $true)) ) | ~spl2_2),
% 29.30/5.13 inference(superposition,[status(thm)],[f16,f83])).
% 29.30/5.13 thf(f83,plain,(
% 29.30/5.13 ((cP @ sK4) = $true) | ~spl2_2),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f81])).
% 29.30/5.13 thf(f247,plain,(
% 29.30/5.13 ~spl2_12 | ~spl2_13 | ~spl2_17),
% 29.30/5.13 inference(avatar_contradiction_clause,[status(thm)],[f246])).
% 29.30/5.13 thf(f246,plain,(
% 29.30/5.13 $false | (~spl2_12 | ~spl2_13 | ~spl2_17)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f245])).
% 29.30/5.13 thf(f245,plain,(
% 29.30/5.13 ($true = $false) | (~spl2_12 | ~spl2_13 | ~spl2_17)),
% 29.30/5.13 inference(forward_demodulation,[status(thm)],[f242,f131])).
% 29.30/5.13 thf(f131,plain,(
% 29.30/5.13 ((sK4 @ sK6) = $false) | ~spl2_13),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f129])).
% 29.30/5.13 thf(f129,definition,(
% 29.30/5.13 spl2_13 <=> ((sK4 @ sK6) = $false)),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_13])],[avatar_definition])).
% 29.30/5.13 thf(f242,plain,(
% 29.30/5.13 ($true = (sK4 @ sK6)) | (~spl2_12 | ~spl2_17)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f240])).
% 29.30/5.13 thf(f240,plain,(
% 29.30/5.13 ($true != $true) | ($true = (sK4 @ sK6)) | (~spl2_12 | ~spl2_17)),
% 29.30/5.13 inference(superposition,[status(thm)],[f181,f126])).
% 29.30/5.13 thf(f126,plain,(
% 29.30/5.13 ((sK7 @ sK6) = $true) | ~spl2_12),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f124])).
% 29.30/5.13 thf(f124,definition,(
% 29.30/5.13 spl2_12 <=> ((sK7 @ sK6) = $true)),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_12])],[avatar_definition])).
% 29.30/5.13 thf(f181,plain,(
% 29.30/5.13 ( ! [X1 : a] : (($true != (sK7 @ X1)) | ($true = (sK4 @ X1))) ) | ~spl2_17),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f180])).
% 29.30/5.13 thf(f214,plain,(
% 29.30/5.13 spl2_13 | spl2_18 | ~spl2_2 | ~spl2_14),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f198,f133,f81,f211,f129])).
% 29.30/5.13 thf(f133,definition,(
% 29.30/5.13 spl2_14 <=> ! [X2 : a > $o] : (((cP @ X2) = $false) | ((X2 @ sK6) = $false) | ((X2 @ sK5) = $false))),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_14])],[avatar_definition])).
% 29.30/5.13 thf(f198,plain,(
% 29.30/5.13 ((sK4 @ sK5) = $false) | ((sK4 @ sK6) = $false) | (~spl2_2 | ~spl2_14)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f188])).
% 29.30/5.13 thf(f188,plain,(
% 29.30/5.13 ($true = $false) | ((sK4 @ sK5) = $false) | ((sK4 @ sK6) = $false) | (~spl2_2 | ~spl2_14)),
% 29.30/5.13 inference(superposition,[status(thm)],[f83,f134])).
% 29.30/5.13 thf(f134,plain,(
% 29.30/5.13 ( ! [X2 : a > $o] : (((cP @ X2) = $false) | ((X2 @ sK5) = $false) | ((X2 @ sK6) = $false)) ) | ~spl2_14),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f133])).
% 29.30/5.13 thf(f155,plain,(
% 29.30/5.13 ~spl2_9 | ~spl2_13),
% 29.30/5.13 inference(avatar_contradiction_clause,[status(thm)],[f154])).
% 29.30/5.13 thf(f154,plain,(
% 29.30/5.13 $false | (~spl2_9 | ~spl2_13)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f153])).
% 29.30/5.13 thf(f153,plain,(
% 29.30/5.13 ($true = $false) | (~spl2_9 | ~spl2_13)),
% 29.30/5.13 inference(backward_demodulation,[status(thm)],[f113,f131])).
% 29.30/5.13 thf(f113,plain,(
% 29.30/5.13 ($true = (sK4 @ sK6)) | ~spl2_9),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f111])).
% 29.30/5.13 thf(f111,definition,(
% 29.30/5.13 spl2_9 <=> ($true = (sK4 @ sK6))),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_9])],[avatar_definition])).
% 29.30/5.13 thf(f152,plain,(
% 29.30/5.13 ~spl2_2 | ~spl2_10),
% 29.30/5.13 inference(avatar_contradiction_clause,[status(thm)],[f151])).
% 29.30/5.13 thf(f151,plain,(
% 29.30/5.13 $false | (~spl2_2 | ~spl2_10)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f150])).
% 29.30/5.13 thf(f150,plain,(
% 29.30/5.13 ($true = $false) | (~spl2_2 | ~spl2_10)),
% 29.30/5.13 inference(forward_demodulation,[status(thm)],[f146,f116])).
% 29.30/5.13 thf(f146,plain,(
% 29.30/5.13 ((sK4 @ (sK0 @ sK4)) = $true) | ~spl2_2),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f145])).
% 29.30/5.13 thf(f145,plain,(
% 29.30/5.13 ($true != $true) | ((sK4 @ (sK0 @ sK4)) = $true) | ~spl2_2),
% 29.30/5.13 inference(superposition,[status(thm)],[f20,f83])).
% 29.30/5.13 thf(f20,plain,(
% 29.30/5.13 ( ! [X0 : a > $o] : (($true != (cP @ X0)) | ((X0 @ (sK0 @ X0)) = $true)) )),
% 29.30/5.13 inference(cnf_transformation,[status(thm)],[f14])).
% 29.30/5.13 thf(f143,plain,(
% 29.30/5.13 ~spl2_2 | ~spl2_7),
% 29.30/5.13 inference(avatar_contradiction_clause,[status(thm)],[f142])).
% 29.30/5.13 thf(f142,plain,(
% 29.30/5.13 $false | (~spl2_2 | ~spl2_7)),
% 29.30/5.13 inference(trivial_inequality_removal,[status(thm)],[f141])).
% 29.30/5.13 thf(f141,plain,(
% 29.30/5.13 ($true = $false) | (~spl2_2 | ~spl2_7)),
% 29.30/5.13 inference(backward_demodulation,[status(thm)],[f83,f105])).
% 29.30/5.13 thf(f105,plain,(
% 29.30/5.13 ((cP @ sK4) = $false) | ~spl2_7),
% 29.30/5.13 inference(avatar_component_clause,[status(thm)],[f103])).
% 29.30/5.13 thf(f103,definition,(
% 29.30/5.13 spl2_7 <=> ((cP @ sK4) = $false)),
% 29.30/5.13 introduced(definition,[new_symbols(naming,[spl2_7])],[avatar_definition])).
% 29.30/5.13 thf(f140,plain,(
% 29.30/5.13 spl2_15 | spl2_10 | spl2_7),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f40,f103,f115,f137])).
% 29.30/5.13 thf(f40,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((cP @ sK4) = $false) | ((sK4 @ sK5) = $true) | ((sK4 @ X1) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 29.30/5.13 thf(f38,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((cP @ sK4) = $false) | (((sK4 @ sK5) => (!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) = (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (Y1 @ sK5)) & (cP @ Y1)))))))) = $false) | ((sK4 @ X1) = $false)) )),
% 29.30/5.13 inference(pi_clausification,[status(thm)],[f37])).
% 29.30/5.13 thf(f37,plain,(
% 29.30/5.13 ((?? @ a @ sK4) = $false) | (((sK4 @ sK5) => (!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) = (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (Y1 @ sK5)) & (cP @ Y1)))))))) = $false) | ((cP @ sK4) = $false)),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f36])).
% 29.30/5.13 thf(f36,plain,(
% 29.30/5.13 ((cP @ sK4) = $false) | (((^[Y0 : a]: ((sK4 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ Y1) = (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (Y2 @ Y0)) & (cP @ Y2))))))))) @ sK5) = $false) | ((?? @ a @ sK4) = $false)),
% 29.30/5.13 inference(sigma_clausification,[status(thm)],[f35])).
% 29.30/5.13 thf(f35,plain,(
% 29.30/5.13 ((cP @ sK4) = $false) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ Y1) = (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (Y2 @ Y0)) & (cP @ Y2)))))))))) = $false) | ((?? @ a @ sK4) = $false)),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f34])).
% 29.30/5.13 thf(f34,plain,(
% 29.30/5.13 ((cP @ sK4) = $false) | (((?? @ a @ sK4) & (!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ Y1) = (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (Y2 @ Y0)) & (cP @ Y2))))))))))) = $false)),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f32])).
% 29.30/5.13 thf(f32,plain,(
% 29.30/5.13 ((cP @ sK4) != ((?? @ a @ sK4) & (!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ Y1) = (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (Y2 @ Y0)) & (cP @ Y2))))))))))))),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f31])).
% 29.30/5.13 thf(f31,plain,(
% 29.30/5.13 ((cP @ sK4) != ((^[Y0 : a > $o]: ((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y2) & (Y3 @ Y1)) & (cP @ Y3)))))))))))) @ sK4))),
% 29.30/5.13 inference(negative_extensionality,[status(thm)],[f24])).
% 29.30/5.13 thf(f24,plain,(
% 29.30/5.13 (cP != (^[Y0 : a > $o]: ((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y2) & (Y3 @ Y1)) & (cP @ Y3)))))))))))))),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f22])).
% 29.30/5.13 thf(f22,plain,(
% 29.30/5.13 (cP != (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: (Y0 @ Y1))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = ((^[Y3 : a]: ((^[Y4 : a]: (?? @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y4) & (Y5 @ Y3)) & (cP @ Y5))))))) @ Y1 @ Y2))))))))))),
% 29.30/5.13 inference(definition_unfolding,[status(thm)],[f15,f21])).
% 29.30/5.13 thf(f21,plain,(
% 29.30/5.13 (cQ = (^[Y0 : a]: ((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (Y2 @ Y0)) & (cP @ Y2))))))))),
% 29.30/5.13 inference(cnf_transformation,[status(thm)],[f8])).
% 29.30/5.13 thf(f8,plain,(
% 29.30/5.13 (cQ = (^[Y0 : a]: ((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (Y2 @ Y0)) & (cP @ Y2))))))))),
% 29.30/5.13 inference(fool_elimination,[status(thm)],[f7])).
% 29.30/5.13 thf(f7,plain,(
% 29.30/5.13 (cQ = (^[X0 : a, X1 : a] : (? [X2 : a > $o] : ((cP @ X2) & (X2 @ X0) & (X2 @ X1)))))),
% 29.30/5.13 inference(rectify,[status(thm)],[f1])).
% 29.30/5.13 thf(f1,axiom,(
% 29.30/5.13 (cQ = (^[X0 : a, X1 : a] : (? [X2 : a > $o] : ((cP @ X2) & (X2 @ X0) & (X2 @ X1)))))),
% 29.30/5.13 file('/export/starexec/sandbox2/tmp/tmp.0QRCMYGmPO/DTF2THF_31191.p',cQ_def)).
% 29.30/5.13 thf(f15,plain,(
% 29.30/5.13 (cP != (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: (Y0 @ Y1))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) = (cQ @ Y1 @ Y2))))))))))),
% 29.30/5.13 inference(cnf_transformation,[status(thm)],[f14])).
% 29.30/5.13 thf(f135,plain,(
% 29.30/5.13 spl2_7 | spl2_13 | spl2_10 | spl2_14),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f49,f133,f115,f129,f103])).
% 29.30/5.13 thf(f49,plain,(
% 29.30/5.13 ( ! [X2 : a > $o,X1 : a] : (((cP @ X2) = $false) | ((cP @ sK4) = $false) | ((X2 @ sK5) = $false) | ((X2 @ sK6) = $false) | ((sK4 @ X1) = $false) | ((sK4 @ sK6) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f48])).
% 29.30/5.13 thf(f48,plain,(
% 29.30/5.13 ( ! [X2 : a > $o,X1 : a] : (((sK4 @ X1) = $false) | ((cP @ sK4) = $false) | (((X2 @ sK6) & (X2 @ sK5)) = $false) | ((sK4 @ sK6) = $false) | ((cP @ X2) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 29.30/5.13 thf(f47,plain,(
% 29.30/5.13 ( ! [X2 : a > $o,X1 : a] : (((((X2 @ sK6) & (X2 @ sK5)) & (cP @ X2)) = $false) | ((cP @ sK4) = $false) | ((sK4 @ sK6) = $false) | ((sK4 @ X1) = $false)) )),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f46])).
% 29.30/5.13 thf(f46,plain,(
% 29.30/5.13 ( ! [X2 : a > $o,X1 : a] : (((sK4 @ X1) = $false) | (((^[Y0 : a > $o]: (((Y0 @ sK6) & (Y0 @ sK5)) & (cP @ Y0))) @ X2) = $false) | ((cP @ sK4) = $false) | ((sK4 @ sK6) = $false)) )),
% 29.30/5.13 inference(pi_clausification,[status(thm)],[f45])).
% 29.30/5.13 thf(f45,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((sK4 @ X1) = $false) | ((cP @ sK4) = $false) | ((?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK6) & (Y0 @ sK5)) & (cP @ Y0)))) = $false) | ((sK4 @ sK6) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f43])).
% 29.30/5.13 thf(f43,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((sK4 @ X1) = $false) | ((?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK6) & (Y0 @ sK5)) & (cP @ Y0)))) != (sK4 @ sK6)) | ((cP @ sK4) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f42])).
% 29.30/5.13 thf(f42,plain,(
% 29.30/5.13 ( ! [X1 : a] : ((((sK4 @ sK6) = (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK6) & (Y0 @ sK5)) & (cP @ Y0))))) = $false) | ((sK4 @ X1) = $false) | ((cP @ sK4) = $false)) )),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f41])).
% 29.30/5.13 thf(f41,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((sK4 @ X1) = $false) | (((^[Y0 : a]: ((sK4 @ Y0) = (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (Y1 @ sK5)) & (cP @ Y1)))))) @ sK6) = $false) | ((cP @ sK4) = $false)) )),
% 29.30/5.13 inference(sigma_clausification,[status(thm)],[f39])).
% 29.30/5.13 thf(f39,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((sK4 @ X1) = $false) | ((cP @ sK4) = $false) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) = (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (Y1 @ sK5)) & (cP @ Y1))))))) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 29.30/5.13 thf(f127,plain,(
% 29.30/5.13 spl2_10 | spl2_7 | spl2_12 | spl2_9),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f55,f111,f124,f103,f115])).
% 29.30/5.13 thf(f55,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((cP @ sK4) = $false) | ($true = (sK4 @ sK6)) | ((sK4 @ X1) = $false) | ((sK7 @ sK6) = $true)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f53])).
% 29.30/5.13 thf(f53,plain,(
% 29.30/5.13 ( ! [X1 : a] : (($true = ((sK7 @ sK6) & (sK7 @ sK5))) | ((sK4 @ X1) = $false) | ((cP @ sK4) = $false) | ($true = (sK4 @ sK6))) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f51])).
% 29.30/5.13 thf(f51,plain,(
% 29.30/5.13 ( ! [X1 : a] : (($true = (sK4 @ sK6)) | ((sK4 @ X1) = $false) | ((cP @ sK4) = $false) | ($true = (((sK7 @ sK6) & (sK7 @ sK5)) & (cP @ sK7)))) )),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f50])).
% 29.30/5.13 thf(f50,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((sK4 @ X1) = $false) | ($true = (sK4 @ sK6)) | ((cP @ sK4) = $false) | (((^[Y0 : a > $o]: (((Y0 @ sK6) & (Y0 @ sK5)) & (cP @ Y0))) @ sK7) = $true)) )),
% 29.30/5.13 inference(sigma_clausification,[status(thm)],[f44])).
% 29.30/5.13 thf(f44,plain,(
% 29.30/5.13 ( ! [X1 : a] : (($true = (sK4 @ sK6)) | ((?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK6) & (Y0 @ sK5)) & (cP @ Y0)))) = $true) | ((sK4 @ X1) = $false) | ((cP @ sK4) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f43])).
% 29.30/5.13 thf(f122,plain,(
% 29.30/5.13 spl2_10 | spl2_7 | spl2_11 | spl2_9),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f54,f111,f119,f103,f115])).
% 29.30/5.13 thf(f54,plain,(
% 29.30/5.13 ( ! [X1 : a] : (($true = (sK4 @ sK6)) | ((cP @ sK4) = $false) | ((sK7 @ sK5) = $true) | ((sK4 @ X1) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f53])).
% 29.30/5.13 thf(f117,plain,(
% 29.30/5.13 spl2_7 | spl2_8 | spl2_9 | spl2_10),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f52,f115,f111,f107,f103])).
% 29.30/5.13 thf(f52,plain,(
% 29.30/5.13 ( ! [X1 : a] : (($true = (sK4 @ sK6)) | ((sK4 @ X1) = $false) | ((cP @ sK4) = $false) | ((cP @ sK7) = $true)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f51])).
% 29.30/5.13 thf(f101,plain,(
% 29.30/5.13 spl2_2 | spl2_6),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f58,f98,f81])).
% 29.30/5.13 thf(f58,plain,(
% 29.30/5.13 ((cP @ sK4) = $true) | ($true = (sK4 @ sK8))),
% 29.30/5.13 inference(sigma_clausification,[status(thm)],[f57])).
% 29.30/5.13 thf(f57,plain,(
% 29.30/5.13 ((?? @ a @ sK4) = $true) | ((cP @ sK4) = $true)),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 29.30/5.13 thf(f33,plain,(
% 29.30/5.13 ((cP @ sK4) = $true) | (((?? @ a @ sK4) & (!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ Y1) = (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (Y2 @ Y0)) & (cP @ Y2))))))))))) = $true)),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f32])).
% 29.30/5.13 thf(f96,plain,(
% 29.30/5.13 spl2_5 | spl2_2),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f72,f81,f94])).
% 29.30/5.13 thf(f72,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((cP @ sK4) = $true) | ((sK9 @ X1 @ X2 @ X2) = $true) | ((sK4 @ X1) = $false) | ((sK4 @ X2) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f70])).
% 29.30/5.13 thf(f70,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((cP @ sK4) = $true) | ((sK4 @ X1) = $false) | ((sK4 @ X2) = $false) | (((sK9 @ X1 @ X2 @ X2) & (sK9 @ X1 @ X2 @ X1)) = $true)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f68])).
% 29.30/5.13 thf(f68,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((sK4 @ X2) = $false) | ((sK4 @ X1) = $false) | ((cP @ sK4) = $true) | ($true = (((sK9 @ X1 @ X2 @ X2) & (sK9 @ X1 @ X2 @ X1)) & (cP @ (sK9 @ X1 @ X2))))) )),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f67])).
% 29.30/5.13 thf(f67,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : ((((^[Y0 : a > $o]: (((Y0 @ X2) & (Y0 @ X1)) & (cP @ Y0))) @ (sK9 @ X1 @ X2)) = $true) | ((sK4 @ X2) = $false) | ((sK4 @ X1) = $false) | ((cP @ sK4) = $true)) )),
% 29.30/5.13 inference(sigma_clausification,[status(thm)],[f66])).
% 29.30/5.13 thf(f66,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((cP @ sK4) = $true) | ($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X2) & (Y0 @ X1)) & (cP @ Y0))))) | ((sK4 @ X2) = $false) | ((sK4 @ X1) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f64])).
% 29.30/5.13 thf(f64,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((sK4 @ X1) = $false) | ((sK4 @ X2) = (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X2) & (Y0 @ X1)) & (cP @ Y0))))) | ((cP @ sK4) = $true)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f63])).
% 29.30/5.13 thf(f63,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : ((((sK4 @ X2) = (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X2) & (Y0 @ X1)) & (cP @ Y0))))) = $true) | ((cP @ sK4) = $true) | ((sK4 @ X1) = $false)) )),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f62])).
% 29.30/5.13 thf(f62,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((sK4 @ X1) = $false) | (((^[Y0 : a]: ((sK4 @ Y0) = (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (Y1 @ X1)) & (cP @ Y1)))))) @ X2) = $true) | ((cP @ sK4) = $true)) )),
% 29.30/5.13 inference(pi_clausification,[status(thm)],[f61])).
% 29.30/5.13 thf(f61,plain,(
% 29.30/5.13 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) = (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (Y1 @ X1)) & (cP @ Y1)))))))) | ((sK4 @ X1) = $false) | ((cP @ sK4) = $true)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f60])).
% 29.30/5.13 thf(f60,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((cP @ sK4) = $true) | ($true = ((sK4 @ X1) => (!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) = (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (Y1 @ X1)) & (cP @ Y1)))))))))) )),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f59])).
% 29.30/5.13 thf(f59,plain,(
% 29.30/5.13 ( ! [X1 : a] : (((cP @ sK4) = $true) | (((^[Y0 : a]: ((sK4 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ Y1) = (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (Y2 @ Y0)) & (cP @ Y2))))))))) @ X1) = $true)) )),
% 29.30/5.13 inference(pi_clausification,[status(thm)],[f56])).
% 29.30/5.13 thf(f56,plain,(
% 29.30/5.13 ((cP @ sK4) = $true) | ($true = (!! @ a @ (^[Y0 : a]: ((sK4 @ Y0) => (!! @ a @ (^[Y1 : a]: ((sK4 @ Y1) = (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (Y2 @ Y0)) & (cP @ Y2)))))))))))),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 29.30/5.13 thf(f92,plain,(
% 29.30/5.13 spl2_2 | spl2_4),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f71,f90,f81])).
% 29.30/5.13 thf(f71,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((sK4 @ X1) = $false) | ((sK4 @ X2) = $false) | ((sK9 @ X1 @ X2 @ X1) = $true) | ((cP @ sK4) = $true)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f70])).
% 29.30/5.13 thf(f88,plain,(
% 29.30/5.13 spl2_3 | spl2_2),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f69,f81,f86])).
% 29.30/5.13 thf(f69,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((cP @ (sK9 @ X1 @ X2)) = $true) | ((cP @ sK4) = $true) | ((sK4 @ X2) = $false) | ((sK4 @ X1) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f68])).
% 29.30/5.13 thf(f84,plain,(
% 29.30/5.13 spl2_1 | spl2_2),
% 29.30/5.13 inference(avatar_split_clause,[status(thm)],[f76,f81,f78])).
% 29.30/5.13 thf(f76,plain,(
% 29.30/5.13 ( ! [X2 : a,X3 : a > $o,X1 : a] : (((sK4 @ X1) = $false) | ((X3 @ X1) = $false) | ((cP @ X3) = $false) | ($false = (X3 @ X2)) | ((sK4 @ X2) = $true) | ((cP @ sK4) = $true)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f75])).
% 29.30/5.13 thf(f75,plain,(
% 29.30/5.13 ( ! [X2 : a,X3 : a > $o,X1 : a] : ((((X3 @ X2) & (X3 @ X1)) = $false) | ((cP @ sK4) = $true) | ((sK4 @ X1) = $false) | ((cP @ X3) = $false) | ((sK4 @ X2) = $true)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f74])).
% 29.30/5.13 thf(f74,plain,(
% 29.30/5.13 ( ! [X2 : a,X3 : a > $o,X1 : a] : (((sK4 @ X2) = $true) | ((cP @ sK4) = $true) | ((sK4 @ X1) = $false) | ((((X3 @ X2) & (X3 @ X1)) & (cP @ X3)) = $false)) )),
% 29.30/5.13 inference(beta_eta_normalization,[status(thm)],[f73])).
% 29.30/5.13 thf(f73,plain,(
% 29.30/5.13 ( ! [X2 : a,X3 : a > $o,X1 : a] : (((cP @ sK4) = $true) | ((sK4 @ X1) = $false) | (((^[Y0 : a > $o]: (((Y0 @ X2) & (Y0 @ X1)) & (cP @ Y0))) @ X3) = $false) | ((sK4 @ X2) = $true)) )),
% 29.30/5.13 inference(pi_clausification,[status(thm)],[f65])).
% 29.30/5.13 thf(f65,plain,(
% 29.30/5.13 ( ! [X2 : a,X1 : a] : (((sK4 @ X1) = $false) | ((sK4 @ X2) = $true) | ((cP @ sK4) = $true) | ((?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X2) & (Y0 @ X1)) & (cP @ Y0)))) = $false)) )),
% 29.30/5.13 inference(binary_proxy_clausification,[status(thm)],[f64])).
% 29.30/5.13 % SZS output end Proof for DTF2THF_31191
% 29.30/5.13 % (31692)------------------------------
% 29.30/5.13 % (31692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.30/5.13 % (31692)Termination reason: Refutation
% 29.30/5.13
% 29.30/5.13 % (31692)Memory used [KB]: 7036
% 29.30/5.13 % (31692)Time elapsed: 0.129 s
% 29.30/5.13 % (31692)Instructions burned: 377 (million)
% 29.30/5.13 % (31692)------------------------------
% 29.30/5.13 % (31692)------------------------------
% 29.30/5.13 % (31297)Success in time 4.005 s
%------------------------------------------------------------------------------