%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV018^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n021.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 09:40:04 AM UTC 2026
% Result : Theorem 14.70s 3.15s
% Output : Refutation 14.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of formulae : 113 ( 29 unt; 0 typ; 6 def)
% Number of atoms : 980 ( 246 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 1327 ( 90 ~; 169 |; 78 &; 797 @)
% ( 9 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 219 ( 219 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 13 usr; 10 con; 0-2 aty)
% ( 73 !!; 46 ??; 0 @@+; 0 @@-)
% Number of variables : 237 ( 118 ^; 107 !; 12 ?; 237 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_17,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
sK2: ( a > $o ) > $o ).
thf(func_def_19,type,
sK3: ( a > $o ) > a ).
thf(func_def_20,type,
sK4: a > a > $o ).
thf(func_def_21,type,
sK5: ( a > a > $o ) > a > $o ).
thf(func_def_22,type,
sK6: ( a > a > $o ) > a ).
thf(func_def_23,type,
sK7: ( a > a > $o ) > a ).
thf(f779,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f151,f303,f408,f473,f626,f629,f777]) ).
thf(f777,plain,
( spl0_5
| ~ spl0_4
| ~ spl0_7
| spl0_16 ),
inference(avatar_split_clause,[status(thm)],[f776,f435,f201,f146,f149]) ).
thf(f149,definition,
( spl0_5
<=> ! [X1: a] :
( ( sK5 @ sK4 @ X1 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f146,definition,
( spl0_4
<=> ! [X0: a > $o] :
( ( $false
= ( sK2 @ X0 ) )
| ( ( X0 @ ( sK7 @ sK4 ) )
!= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) )
| ( $false
= ( X0 @ ( sK6 @ sK4 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f201,definition,
( spl0_7
<=> ( $true
= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f435,definition,
( spl0_16
<=> ( ( sK2 @ ( sK5 @ sK4 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition]) ).
thf(f776,plain,
( ! [X0: a] :
( ( sK5 @ sK4 @ X0 )
= $false )
| ~ spl0_4
| ~ spl0_7
| spl0_16 ),
inference(subsumption_resolution,[status(thm)],[f772,f436]) ).
thf(f436,plain,
( ( ( sK2 @ ( sK5 @ sK4 ) )
!= $false )
| spl0_16 ),
inference(avatar_component_clause,[status(thm)],[f435]) ).
thf(f772,plain,
( ! [X0: a] :
( ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ( ( sK5 @ sK4 @ X0 )
= $false ) )
| ~ spl0_4
| ~ spl0_7
| spl0_16 ),
inference(trivial_inequality_removal,[status(thm)],[f769]) ).
thf(f769,plain,
( ! [X0: a] :
( ( ( sK5 @ sK4 @ X0 )
= $false )
| ( $true = $false )
| ( ( sK2 @ ( sK5 @ sK4 ) )
= $false ) )
| ~ spl0_4
| ~ spl0_7
| spl0_16 ),
inference(superposition,[status(thm)],[f44,f711]) ).
thf(f711,plain,
( ( $false
= ( sK5 @ sK4 @ ( sK6 @ sK4 ) ) )
| ~ spl0_4
| ~ spl0_7
| spl0_16 ),
inference(subsumption_resolution,[status(thm)],[f707,f436]) ).
thf(f707,plain,
( ( $false
= ( sK5 @ sK4 @ ( sK6 @ sK4 ) ) )
| ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f697]) ).
thf(f697,plain,
( ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ( $false
= ( sK5 @ sK4 @ ( sK6 @ sK4 ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[status(thm)],[f638,f202]) ).
thf(f202,plain,
( ( $true
= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f201]) ).
thf(f638,plain,
( ! [X0: a > $o] :
( ( $true
!= ( X0 @ ( sK7 @ sK4 ) ) )
| ( $false
= ( sK2 @ X0 ) )
| ( $false
= ( X0 @ ( sK6 @ sK4 ) ) ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f147,f202]) ).
thf(f147,plain,
( ! [X0: a > $o] :
( ( $false
= ( X0 @ ( sK6 @ sK4 ) ) )
| ( ( X0 @ ( sK7 @ sK4 ) )
!= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) )
| ( $false
= ( sK2 @ X0 ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f146]) ).
thf(f44,plain,
! [X2: a,X1: a > a > $o] :
( ( $true
= ( sK5 @ X1 @ ( sK6 @ X1 ) ) )
| ( $false
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( $false
= ( sK5 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f42]) ).
thf(f42,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( sK5 @ X1 @ X2 ) )
| ( $false
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( ( ( sK5 @ X1 @ ( sK6 @ X1 ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ ( sK6 @ X1 ) @ Y0 )
= ( sK5 @ X1 @ Y0 ) ) ) )
= $false ) ),
inference(pi_clausification,[status(thm)],[f41]) ).
thf(f41,plain,
! [X1: a > a > $o] :
( ( ( ?? @ a @ ( sK5 @ X1 ) )
= $false )
| ( $false
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( ( ( sK5 @ X1 @ ( sK6 @ X1 ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ ( sK6 @ X1 ) @ Y0 )
= ( sK5 @ X1 @ Y0 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f40]) ).
thf(f40,plain,
! [X1: a > a > $o] :
( ( ( ?? @ a @ ( sK5 @ X1 ) )
= $false )
| ( $false
= ( ^ [Y0: a] :
( ( sK5 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y0 @ Y1 )
= ( sK5 @ X1 @ Y1 ) ) ) )
@ ( sK6 @ X1 ) ) )
| ( $false
= ( sK2 @ ( sK5 @ X1 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X1: a > a > $o] :
( ( $false
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK5 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y0 @ Y1 )
= ( sK5 @ X1 @ Y1 ) ) ) ) )
= $false )
| ( ( ?? @ a @ ( sK5 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
! [X1: a > a > $o] :
( ( $false
= ( ( ?? @ a @ ( sK5 @ X1 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK5 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y0 @ Y1 )
= ( sK5 @ X1 @ Y1 ) ) ) ) ) ) )
| ( $false
= ( sK2 @ ( sK5 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f36]) ).
thf(f36,plain,
! [X1: a > a > $o] :
( ( ( ?? @ a @ ( sK5 @ X1 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK5 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y0 @ Y1 )
= ( sK5 @ X1 @ Y1 ) ) ) ) ) )
!= ( sK2 @ ( sK5 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f35]) ).
thf(f35,plain,
! [X1: a > a > $o] :
( ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( X1 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
@ ( sK5 @ X1 ) )
!= ( sK2 @ ( sK5 @ X1 ) ) ),
inference(negative_extensionality,[status(thm)],[f34]) ).
thf(f34,plain,
! [X1: a > a > $o] :
( ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( X1 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) ) )
!= sK2 ),
inference(equality_proxy_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X1: a > a > $o] :
( ( sK2
= ( ^ [Y0: a > $o] :
( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( X1 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
! [X1: a > a > $o] :
( ( ^ [Y0: a > a > $o] :
( sK2
= ( ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f11]) ).
thf(f11,plain,
( $false
= ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( sK2
= ( ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( sK2 @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( sK2 @ Y1 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( sK2
= ( ^ [Y1: a > $o] :
( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f9]) ).
thf(f9,plain,
( $false
= ( ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( Y0 @ Y3 ) )
=> ( Y2 = Y3 ) ) )
& ( Y0 @ Y2 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( Y0 @ Y3 ) )
=> ( Y2 = Y3 ) ) )
& ( Y0 @ Y2 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ~ ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( Y0 @ Y3 ) )
=> ( Y2 = Y3 ) ) )
& ( Y0 @ Y2 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( Y0 @ Y3 ) )
=> ( Y2 = Y3 ) ) )
& ( Y0 @ Y2 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( Y0 @ Y3 ) )
=> ( Y2 = Y3 ) ) )
& ( Y0 @ Y2 ) ) ) ) )
=> ( ?? @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( Y0
= ( ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y3 @ Y4 )
= ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > $o ) > $o] :
( ( ! [X1: a] :
? [X2: a > $o] :
( ( X0 @ X2 )
& ! [X3: a > $o] :
( ( ( X0 @ X3 )
& ( X3 @ X1 ) )
=> ( X2 = X3 ) )
& ( X2 @ X1 ) )
& ! [X4: a > $o] :
( ( X0 @ X4 )
=> ? [X5: a] : ( X4 @ X5 ) ) )
=> ? [X6: a > a > $o] :
( X0
= ( ^ [X7: a > $o] :
( ! [X8: a] :
( ( X7 @ X8 )
=> ! [X9: a] :
( ( X6 @ X8 @ X9 )
<=> ( X7 @ X9 ) ) )
& ? [X10: a] : ( X7 @ X10 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > $o ) > $o] :
( ( ! [X3: a] :
? [X1: a > $o] :
( ( X0 @ X1 )
& ! [X4: a > $o] :
( ( ( X0 @ X4 )
& ( X4 @ X3 ) )
=> ( X1 = X4 ) )
& ( X1 @ X3 ) )
& ! [X1: a > $o] :
( ( X0 @ X1 )
=> ? [X2: a] : ( X1 @ X2 ) ) )
=> ? [X5: a > a > $o] :
( X0
= ( ^ [X6: a > $o] :
( ! [X3: a] :
( ( X6 @ X3 )
=> ! [X7: a] :
( ( X5 @ X3 @ X7 )
<=> ( X6 @ X7 ) ) )
& ? [X2: a] : ( X6 @ X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > $o ) > $o] :
( ( ! [X3: a] :
? [X1: a > $o] :
( ( X0 @ X1 )
& ! [X4: a > $o] :
( ( ( X0 @ X4 )
& ( X4 @ X3 ) )
=> ( X1 = X4 ) )
& ( X1 @ X3 ) )
& ! [X1: a > $o] :
( ( X0 @ X1 )
=> ? [X2: a] : ( X1 @ X2 ) ) )
=> ? [X5: a > a > $o] :
( X0
= ( ^ [X6: a > $o] :
( ! [X3: a] :
( ( X6 @ X3 )
=> ! [X7: a] :
( ( X5 @ X3 @ X7 )
<=> ( X6 @ X7 ) ) )
& ? [X2: a] : ( X6 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.m1Htu4nRZs/DTF2THF_19042.p',cTHM262A_pme) ).
thf(f629,plain,
( ~ spl0_1
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[status(thm)],[f628]) ).
thf(f628,plain,
( $false
| ~ spl0_1
| ~ spl0_16 ),
inference(trivial_inequality_removal,[status(thm)],[f627]) ).
thf(f627,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f119,f437]) ).
thf(f437,plain,
( ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ~ spl0_16 ),
inference(avatar_component_clause,[status(thm)],[f435]) ).
thf(f119,plain,
( ( $true
= ( sK2 @ ( sK5 @ sK4 ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f117]) ).
thf(f117,definition,
( spl0_1
<=> ( $true
= ( sK2 @ ( sK5 @ sK4 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f626,plain,
( spl0_16
| spl0_5
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f623,f275,f146,f117,f149,f435]) ).
thf(f275,definition,
( spl0_9
<=> ( $false
= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f623,plain,
( ! [X0: a] :
( ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ( ( sK5 @ sK4 @ X0 )
= $false ) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f617]) ).
thf(f617,plain,
( ! [X0: a] :
( ( ( sK5 @ sK4 @ X0 )
= $false )
| ( $true = $false )
| ( ( sK2 @ ( sK5 @ sK4 ) )
= $false ) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f616,f44]) ).
thf(f616,plain,
( ( $false
= ( sK5 @ sK4 @ ( sK6 @ sK4 ) ) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f615]) ).
thf(f615,plain,
( ( $false
= ( sK5 @ sK4 @ ( sK6 @ sK4 ) ) )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f606,f119]) ).
thf(f606,plain,
( ( $false
= ( sK5 @ sK4 @ ( sK6 @ sK4 ) ) )
| ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f597]) ).
thf(f597,plain,
( ( $false
= ( sK5 @ sK4 @ ( sK6 @ sK4 ) ) )
| ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ( $false != $false )
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f489,f276]) ).
thf(f276,plain,
( ( $false
= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f275]) ).
thf(f489,plain,
( ! [X0: a > $o] :
( ( $false
!= ( X0 @ ( sK7 @ sK4 ) ) )
| ( $false
= ( sK2 @ X0 ) )
| ( $false
= ( X0 @ ( sK6 @ sK4 ) ) ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f147,f276]) ).
thf(f473,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f214,f117,f149]) ).
thf(f214,plain,
! [X0: a] :
( ( $true
= ( sK2 @ ( sK5 @ sK4 ) ) )
| ( ( sK5 @ sK4 @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[status(thm)],[f211]) ).
thf(f211,plain,
! [X0: a] :
( ( $true
= ( sK2 @ ( sK5 @ sK4 ) ) )
| ( $true
= ( sK2 @ ( sK5 @ sK4 ) ) )
| ( ( sK5 @ sK4 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f23,f93]) ).
thf(f93,plain,
! [X2: a,X1: a > a > $o] :
( ( ( sK5 @ X1 )
= ( X1 @ X2 ) )
| ( $false
= ( sK5 @ X1 @ X2 ) )
| ( $true
= ( sK2 @ ( sK5 @ X1 ) ) ) ),
inference(negative_extensionality,[status(thm)],[f56]) ).
thf(f56,plain,
! [X2: a,X3: a,X1: a > a > $o] :
( ( ( X1 @ X2 @ X3 )
= ( sK5 @ X1 @ X3 ) )
| ( $true
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( $false
= ( sK5 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f55]) ).
thf(f55,plain,
! [X2: a,X3: a,X1: a > a > $o] :
( ( $false
= ( sK5 @ X1 @ X2 ) )
| ( $true
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( ( ( X1 @ X2 @ X3 )
= ( sK5 @ X1 @ X3 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: a,X3: a,X1: a > a > $o] :
( ( $true
= ( ^ [Y0: a] :
( ( X1 @ X2 @ Y0 )
= ( sK5 @ X1 @ Y0 ) )
@ X3 ) )
| ( $true
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( $false
= ( sK5 @ X1 @ X2 ) ) ),
inference(pi_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( sK5 @ X1 @ X2 ) )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ X2 @ Y0 )
= ( sK5 @ X1 @ Y0 ) ) ) )
| ( $true
= ( sK2 @ ( sK5 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f52]) ).
thf(f52,plain,
! [X2: a,X1: a > a > $o] :
( ( $true
= ( ( sK5 @ X1 @ X2 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ X2 @ Y0 )
= ( sK5 @ X1 @ Y0 ) ) ) ) )
| ( $true
= ( sK2 @ ( sK5 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f51]) ).
thf(f51,plain,
! [X2: a,X1: a > a > $o] :
( ( $true
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( $true
= ( ^ [Y0: a] :
( ( sK5 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y0 @ Y1 )
= ( sK5 @ X1 @ Y1 ) ) ) )
@ X2 ) ) ),
inference(pi_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
! [X1: a > a > $o] :
( ( $true
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK5 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y0 @ Y1 )
= ( sK5 @ X1 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
! [X1: a > a > $o] :
( ( $true
= ( ( ?? @ a @ ( sK5 @ X1 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK5 @ X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y0 @ Y1 )
= ( sK5 @ X1 @ Y1 ) ) ) ) ) ) )
| ( $true
= ( sK2 @ ( sK5 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f36]) ).
thf(f23,plain,
! [X1: a] :
( ( sK2 @ ( sK4 @ X1 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
! [X1: a] :
( $true
= ( ( sK4 @ X1 @ X1 )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( sK2 @ Y0 ) )
=> ( ( sK4 @ X1 )
= Y0 ) ) )
& ( sK2 @ ( sK4 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( sK2 @ Y1 ) )
=> ( Y0 = Y1 ) ) )
& ( sK2 @ Y0 ) )
@ ( sK4 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
! [X1: a] :
( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( sK2 @ Y1 ) )
=> ( Y0 = Y1 ) ) )
& ( sK2 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f19]) ).
thf(f19,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( sK2 @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( sK2 @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( sK2 @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( sK2 @ Y1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( ?? @ a @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( sK2 @ Y2 ) )
=> ( Y1 = Y2 ) ) )
& ( sK2 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f10]) ).
thf(f408,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[status(thm)],[f407]) ).
thf(f407,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f406]) ).
thf(f406,plain,
( ( $true = $false )
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f398,f401]) ).
thf(f401,plain,
( ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f389]) ).
thf(f389,plain,
( ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ( $true = $false )
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f18,f150]) ).
thf(f150,plain,
( ! [X1: a] :
( ( sK5 @ sK4 @ X1 )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f149]) ).
thf(f18,plain,
! [X1: a > $o] :
( ( $true
= ( X1 @ ( sK3 @ X1 ) ) )
| ( $false
= ( sK2 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
! [X1: a > $o] :
( ( $true
= ( ?? @ a @ X1 ) )
| ( $false
= ( sK2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
! [X1: a > $o] :
( $true
= ( ( sK2 @ X1 )
=> ( ?? @ a @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f15]) ).
thf(f15,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( ?? @ a @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
=> ( ?? @ a @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f12]) ).
thf(f398,plain,
( ( $true
= ( sK2 @ ( sK5 @ sK4 ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f386]) ).
thf(f386,plain,
( ( $true
= ( sK2 @ ( sK5 @ sK4 ) ) )
| ( $true = $false )
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f50,f150]) ).
thf(f50,plain,
! [X1: a > a > $o] :
( ( $true
= ( sK5 @ X1 @ ( sK3 @ ( sK5 @ X1 ) ) ) )
| ( $true
= ( sK2 @ ( sK5 @ X1 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f49]) ).
thf(f49,plain,
! [X1: a > a > $o] :
( ( $true
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( $true
= ( ?? @ a @ ( sK5 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f303,plain,
( ~ spl0_1
| spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[status(thm)],[f302]) ).
thf(f302,plain,
( $false
| ~ spl0_1
| spl0_7
| spl0_9 ),
inference(subsumption_resolution,[status(thm)],[f300,f277]) ).
thf(f277,plain,
( ( $false
!= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) )
| spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f275]) ).
thf(f300,plain,
( ( $false
= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) )
| ~ spl0_1
| spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f293]) ).
thf(f293,plain,
( ( $false
= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) )
| ( $true != $true )
| ~ spl0_1
| spl0_7 ),
inference(superposition,[status(thm)],[f218,f26]) ).
thf(f26,plain,
! [X1: a] :
( ( sK4 @ X1 @ X1 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f24]) ).
thf(f24,plain,
! [X1: a] :
( ( ( sK4 @ X1 @ X1 )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( sK2 @ Y0 ) )
=> ( ( sK4 @ X1 )
= Y0 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f218,plain,
( ! [X0: a] :
( ( $true
!= ( sK4 @ X0 @ ( sK7 @ sK4 ) ) )
| ( ( sK5 @ sK4 @ X0 )
= $false ) )
| ~ spl0_1
| spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f217]) ).
thf(f217,plain,
( ! [X0: a] :
( ( ( sK5 @ sK4 @ X0 )
= $false )
| ( $true = $false )
| ( $true
!= ( sK4 @ X0 @ ( sK7 @ sK4 ) ) ) )
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[status(thm)],[f216,f119]) ).
thf(f216,plain,
( ! [X0: a] :
( ( ( sK5 @ sK4 @ X0 )
= $false )
| ( $true
!= ( sK4 @ X0 @ ( sK7 @ sK4 ) ) )
| ( ( sK2 @ ( sK5 @ sK4 ) )
= $false ) )
| spl0_7 ),
inference(superposition,[status(thm)],[f203,f57]) ).
thf(f57,plain,
! [X2: a > $o,X3: a,X1: a] :
( ( ( sK4 @ X1 @ X3 )
= ( X2 @ X3 ) )
| ( $false
= ( X2 @ X1 ) )
| ( $false
= ( sK2 @ X2 ) ) ),
inference(argument_congruence,[status(thm)],[f31]) ).
thf(f31,plain,
! [X2: a > $o,X1: a] :
( ( ( sK4 @ X1 )
= X2 )
| ( $false
= ( X2 @ X1 ) )
| ( $false
= ( sK2 @ X2 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f30]) ).
thf(f30,plain,
! [X2: a > $o,X1: a] :
( ( $false
= ( sK2 @ X2 ) )
| ( $false
= ( X2 @ X1 ) )
| ( ( ( sK4 @ X1 )
= X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
! [X2: a > $o,X1: a] :
( ( $false
= ( ( X2 @ X1 )
& ( sK2 @ X2 ) ) )
| ( ( ( sK4 @ X1 )
= X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f28]) ).
thf(f28,plain,
! [X2: a > $o,X1: a] :
( $true
= ( ( ( X2 @ X1 )
& ( sK2 @ X2 ) )
=> ( ( sK4 @ X1 )
= X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f27]) ).
thf(f27,plain,
! [X2: a > $o,X1: a] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( sK2 @ Y0 ) )
=> ( ( sK4 @ X1 )
= Y0 ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
! [X1: a] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( sK2 @ Y0 ) )
=> ( ( sK4 @ X1 )
= Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f24]) ).
thf(f203,plain,
( ( $true
!= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) )
| spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f201]) ).
thf(f151,plain,
( spl0_4
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f144,f117,f149,f146]) ).
thf(f144,plain,
( ! [X0: a > $o,X1: a] :
( ( ( sK5 @ sK4 @ X1 )
= $false )
| ( $false
= ( sK2 @ X0 ) )
| ( $false
= ( X0 @ ( sK6 @ sK4 ) ) )
| ( ( X0 @ ( sK7 @ sK4 ) )
!= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f143]) ).
thf(f143,plain,
( ! [X0: a > $o,X1: a] :
( ( $true = $false )
| ( ( sK5 @ sK4 @ X1 )
= $false )
| ( $false
= ( sK2 @ X0 ) )
| ( ( X0 @ ( sK7 @ sK4 ) )
!= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) )
| ( $false
= ( X0 @ ( sK6 @ sK4 ) ) ) )
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f139,f119]) ).
thf(f139,plain,
! [X0: a > $o,X1: a] :
( ( ( sK5 @ sK4 @ X1 )
= $false )
| ( ( sK2 @ ( sK5 @ sK4 ) )
= $false )
| ( $false
= ( X0 @ ( sK6 @ sK4 ) ) )
| ( $false
= ( sK2 @ X0 ) )
| ( ( X0 @ ( sK7 @ sK4 ) )
!= ( sK5 @ sK4 @ ( sK7 @ sK4 ) ) ) ),
inference(superposition,[status(thm)],[f47,f57]) ).
thf(f47,plain,
! [X2: a,X1: a > a > $o] :
( ( ( X1 @ ( sK6 @ X1 ) @ ( sK7 @ X1 ) )
!= ( sK5 @ X1 @ ( sK7 @ X1 ) ) )
| ( $false
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( $false
= ( sK5 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f46]) ).
thf(f46,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( ( ( X1 @ ( sK6 @ X1 ) @ ( sK7 @ X1 ) )
= ( sK5 @ X1 @ ( sK7 @ X1 ) ) )
= $false )
| ( $false
= ( sK5 @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f45]) ).
thf(f45,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( ^ [Y0: a] :
( ( X1 @ ( sK6 @ X1 ) @ Y0 )
= ( sK5 @ X1 @ Y0 ) )
@ ( sK7 @ X1 ) ) )
| ( $false
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( $false
= ( sK5 @ X1 @ X2 ) ) ),
inference(sigma_clausification,[status(thm)],[f43]) ).
thf(f43,plain,
! [X2: a,X1: a > a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ ( sK6 @ X1 ) @ Y0 )
= ( sK5 @ X1 @ Y0 ) ) ) )
| ( $false
= ( sK2 @ ( sK5 @ X1 ) ) )
| ( $false
= ( sK5 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV018^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.31 % Computer : n021.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Feb 24 12:38:38 EST 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.31 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/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 : SEV018^5 : TPTP v9.2.1. Released v4.0.0.
% 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 : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.42 % Source : [Bro09]
% 0.16/0.42 % Names : tps_0980 [Bro09]
% 0.16/0.42
% 0.16/0.42 % Status : Theorem
% 0.16/0.42 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.70 v8.2.0, 0.69 v8.1.0, 0.91 v7.5.0, 1.00 v4.0.0
% 0.16/0.42 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.16/0.42 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.16/0.42 % Maximal formula atoms : 2 ( 2 avg)
% 0.16/0.42 % Number of connectives : 21 ( 0 ~; 0 |; 5 &; 11 @)
% 0.16/0.42 % ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% 0.16/0.42 % Maximal formula depth : 12 ( 12 avg)
% 0.16/0.42 % Number of types : 2 ( 1 usr)
% 0.16/0.42 % Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% 0.16/0.42 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.16/0.42 % Number of variables : 11 ( 1 ^; 6 !; 4 ?; 11 :)
% 0.16/0.42 % SPC : TH0_THM_EQU_NAR
% 0.16/0.42
% 0.16/0.42 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.42 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.42 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.42 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 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(cTHM262A_pme,conjecture,
% 0.16/0.42 ! [P: ( a > $o ) > $o] :
% 0.16/0.42 ( ( ! [Xp: a > $o] :
% 0.16/0.42 ( ( P @ 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 ( ( P @ Xp )
% 0.16/0.42 & ( Xp @ Xx )
% 0.16/0.42 & ! [Xq: a > $o] :
% 0.16/0.42 ( ( ( P @ Xq )
% 0.16/0.42 & ( Xq @ Xx ) )
% 0.16/0.42 => ( Xq = Xp ) ) ) )
% 0.16/0.42 => ? [Q: a > a > $o] :
% 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 <=> ( Q @ Xx @ Xy ) ) ) ) )
% 0.16/0.42 = P ) ) ).
% 0.16/0.42
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 ------------------------
% 1.30/1.12 ---- Embedded in THF ---
% 1.30/1.12 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.30/1.12 %%% Generated on Tue Feb 24 12:38:39 EST 2026
% 1.30/1.12 %%% using '$$dhol' embedding, version 1.3.0.
% 1.30/1.12 %%% Logic specification used:
% 1.30/1.12 %%% thf(spec, logic, $$dhol).
% 1.30/1.12
% 1.30/1.12 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.m1Htu4nRZs/DTF2DTF19042.p
% See solution above
% 1.30/1.12 ------------------------
% 1.30/1.13 ---- Cleaned THF ---
% 1.30/1.13 thf(a_type,type,
% 1.30/1.13 a: $tType ).
% 1.30/1.13
% 1.30/1.13 thf(cTHM262A_pme,conjecture,
% 1.30/1.13 ! [P: ( a > $o ) > $o] :
% 1.30/1.13 ( ( ! [Xp: a > $o] :
% 1.30/1.13 ( ( P @ Xp )
% 1.30/1.13 => ? [Xz: a] : ( Xp @ Xz ) )
% 1.30/1.13 & ! [Xx: a] :
% 1.30/1.13 ? [Xp: a > $o] :
% 1.30/1.13 ( ( P @ Xp )
% 1.30/1.13 & ( Xp @ Xx )
% 1.30/1.13 & ! [Xq: a > $o] :
% 1.30/1.13 ( ( ( P @ Xq )
% 1.30/1.13 & ( Xq @ Xx ) )
% 1.30/1.13 => ( Xq = Xp ) ) ) )
% 1.30/1.13 => ? [Q: a > a > $o] :
% 1.30/1.13 ( ( ^ [Xs: a > $o] :
% 1.30/1.13 ( ? [Xz: a] : ( Xs @ Xz )
% 1.30/1.13 & ! [Xx: a] :
% 1.30/1.13 ( ( Xs @ Xx )
% 1.30/1.13 => ! [Xy: a] :
% 1.30/1.13 ( ( Xs @ Xy )
% 1.30/1.13 <=> ( Q @ Xx @ Xy ) ) ) ) )
% 1.30/1.13 = P ) ) ).
% 1.30/1.13 ------------------------
% 1.30/1.14 % (19147)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_19042 for (3000ds/18Mi)
% 1.30/1.15 % (19142)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_19042 for (3000ds/4Mi)
% 1.30/1.15 % (19144)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_19042 for (3000ds/2Mi)
% 1.30/1.15 % (19143)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_19042 for (3000ds/27Mi)
% 1.30/1.15 % (19146)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_19042 for (3000ds/275Mi)
% 1.30/1.15 % (19141)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_19042 for (3000ds/183Mi)
% 1.30/1.15 % (19145)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_19042 for (3000ds/2Mi)
% 1.30/1.15 % (19145)Instruction limit reached!
% 1.30/1.15 % (19145)------------------------------
% 1.30/1.15 % (19145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.15 % (19145)Termination reason: Unknown
% 1.30/1.15 % (19145)Termination phase: Property scanning
% 1.30/1.15
% 1.30/1.15 % (19147)Instruction limit reached!
% 1.30/1.15 % (19147)------------------------------
% 1.30/1.15 % (19147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.15 % (19145)Memory used [KB]: 895
% 1.30/1.15 % (19145)Time elapsed: 0.002 s
% 1.30/1.15 % (19145)Instructions burned: 2 (million)
% 1.30/1.15 % (19145)------------------------------
% 1.30/1.15 % (19145)------------------------------
% 1.30/1.15 % (19147)Termination reason: Unknown
% 1.30/1.15 % (19147)Termination phase: Saturation
% 1.30/1.15
% 1.30/1.15 % (19147)Memory used [KB]: 5500
% 1.30/1.15 % (19147)Time elapsed: 0.008 s
% 1.30/1.15 % (19147)Instructions burned: 19 (million)
% 1.30/1.15 % (19147)------------------------------
% 1.30/1.15 % (19147)------------------------------
% 1.30/1.15 % (19144)Instruction limit reached!
% 1.30/1.15 % (19144)------------------------------
% 1.30/1.15 % (19144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.15 % (19144)Termination reason: Unknown
% 1.30/1.15 % (19144)Termination phase: Saturation
% 1.30/1.15
% 1.30/1.15 % (19144)Memory used [KB]: 5500
% 1.30/1.15 % (19144)Time elapsed: 0.003 s
% 1.30/1.15 % (19144)Instructions burned: 3 (million)
% 1.30/1.15 % (19144)------------------------------
% 1.30/1.15 % (19144)------------------------------
% 1.30/1.15 % (19142)Instruction limit reached!
% 1.30/1.15 % (19142)------------------------------
% 1.30/1.15 % (19142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.15 % (19142)Termination reason: Unknown
% 1.30/1.15 % (19142)Termination phase: Saturation
% 1.30/1.15
% 1.30/1.15 % (19142)Memory used [KB]: 5500
% 1.30/1.15 % (19142)Time elapsed: 0.004 s
% 1.30/1.15 % (19142)Instructions burned: 4 (million)
% 1.30/1.15 % (19142)------------------------------
% 1.30/1.15 % (19142)------------------------------
% 1.30/1.16 % (19150)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_19042 for (2999ds/15Mi)
% 1.30/1.16 % (19143)Instruction limit reached!
% 1.30/1.16 % (19143)------------------------------
% 1.30/1.16 % (19143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.16 % (19143)Termination reason: Unknown
% 1.30/1.16 % (19143)Termination phase: Saturation
% 1.30/1.16
% 1.30/1.16 % (19143)Memory used [KB]: 5628
% 1.30/1.16 % (19143)Time elapsed: 0.015 s
% 1.30/1.16 % (19143)Instructions burned: 27 (million)
% 1.30/1.16 % (19143)------------------------------
% 1.30/1.16 % (19143)------------------------------
% 1.30/1.17 % (19148)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/3Mi)
% 1.30/1.17 % (19149)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_19042 for (2999ds/37Mi)
% 1.30/1.17 % (19150)Instruction limit reached!
% 1.30/1.17 % (19150)------------------------------
% 1.30/1.17 % (19150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.17 % (19150)Termination reason: Unknown
% 1.30/1.17 % (19150)Termination phase: Saturation
% 1.30/1.17
% 1.30/1.17 % (19150)Memory used [KB]: 5628
% 1.30/1.17 % (19150)Time elapsed: 0.007 s
% 1.30/1.17 % (19150)Instructions burned: 17 (million)
% 1.30/1.17 % (19150)------------------------------
% 1.30/1.17 % (19150)------------------------------
% 1.30/1.17 % (19148)Instruction limit reached!
% 1.30/1.17 % (19148)------------------------------
% 1.30/1.17 % (19148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.17 % (19148)Termination reason: Unknown
% 1.30/1.17 % (19148)Termination phase: Saturation
% 1.30/1.17
% 1.30/1.17 % (19148)Memory used [KB]: 5500
% 1.30/1.17 % (19148)Time elapsed: 0.003 s
% 1.30/1.17 % (19148)Instructions burned: 3 (million)
% 1.30/1.17 % (19148)------------------------------
% 1.30/1.17 % (19148)------------------------------
% 1.30/1.17 % (19151)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_19042 for (2999ds/3Mi)
% 1.30/1.17 % (19151)Instruction limit reached!
% 1.30/1.17 % (19151)------------------------------
% 1.30/1.17 % (19151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.17 % (19151)Termination reason: Unknown
% 1.30/1.17 % (19151)Termination phase: Saturation
% 1.30/1.17
% 1.30/1.17 % (19151)Memory used [KB]: 5500
% 1.30/1.17 % (19151)Time elapsed: 0.003 s
% 1.30/1.17 % (19151)Instructions burned: 3 (million)
% 1.30/1.17 % (19151)------------------------------
% 1.30/1.17 % (19151)------------------------------
% 1.30/1.18 % (19153)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/7Mi)
% 1.30/1.18 % (19153)Instruction limit reached!
% 1.30/1.18 % (19153)------------------------------
% 1.30/1.18 % (19153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.18 % (19153)Termination reason: Unknown
% 1.30/1.18 % (19153)Termination phase: Saturation
% 1.30/1.18
% 1.30/1.18 % (19153)Memory used [KB]: 1023
% 1.30/1.18 % (19153)Time elapsed: 0.004 s
% 1.30/1.18 % (19153)Instructions burned: 7 (million)
% 1.30/1.18 % (19153)------------------------------
% 1.30/1.18 % (19153)------------------------------
% 1.30/1.18 % (19152)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_19042 for (2999ds/1041Mi)
% 1.30/1.18 % (19154)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/16Mi)
% 1.30/1.18 % (19149)Instruction limit reached!
% 1.30/1.18 % (19149)------------------------------
% 1.30/1.18 % (19149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.18 % (19149)Termination reason: Unknown
% 1.30/1.18 % (19149)Termination phase: Saturation
% 1.30/1.18
% 1.30/1.18 % (19149)Memory used [KB]: 6012
% 1.30/1.18 % (19149)Time elapsed: 0.019 s
% 1.30/1.18 % (19149)Instructions burned: 38 (million)
% 1.30/1.18 % (19149)------------------------------
% 1.30/1.18 % (19149)------------------------------
% 1.30/1.19 % (19154)Instruction limit reached!
% 1.30/1.19 % (19154)------------------------------
% 1.30/1.19 % (19154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.19 % (19154)Termination reason: Unknown
% 1.30/1.19 % (19154)Termination phase: Saturation
% 1.30/1.19
% 1.30/1.19 % (19154)Memory used [KB]: 5628
% 1.30/1.19 % (19154)Time elapsed: 0.010 s
% 1.30/1.19 % (19154)Instructions burned: 17 (million)
% 1.30/1.19 % (19154)------------------------------
% 1.30/1.19 % (19154)------------------------------
% 1.30/1.19 % (19158)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/7Mi)
% 1.30/1.19 % (19155)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_19042 for (2999ds/3Mi)
% 1.30/1.19 % (19157)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_19042 for (2999ds/3Mi)
% 1.30/1.19 % (19158)Refutation not found, incomplete strategy
% 1.30/1.19 % (19158)------------------------------
% 1.30/1.19 % (19158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.19 % (19158)Termination reason: Refutation not found, incomplete strategy
% 1.30/1.19
% 1.30/1.19
% 1.30/1.19 % (19158)Memory used [KB]: 5500
% 1.30/1.19 % (19158)Time elapsed: 0.002 s
% 1.30/1.19 % (19158)Instructions burned: 3 (million)
% 1.30/1.19 % (19158)------------------------------
% 1.30/1.19 % (19158)------------------------------
% 1.30/1.20 % (19155)Instruction limit reached!
% 1.30/1.20 % (19155)------------------------------
% 1.30/1.20 % (19155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.20 % (19155)Termination reason: Unknown
% 1.30/1.20 % (19155)Termination phase: Saturation
% 1.30/1.20
% 1.30/1.20 % (19155)Memory used [KB]: 5500
% 1.30/1.20 % (19155)Time elapsed: 0.003 s
% 1.30/1.20 % (19155)Instructions burned: 4 (million)
% 1.30/1.20 % (19155)------------------------------
% 1.30/1.20 % (19155)------------------------------
% 1.30/1.20 % (19157)Instruction limit reached!
% 1.30/1.20 % (19157)------------------------------
% 1.30/1.20 % (19157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.20 % (19157)Termination reason: Unknown
% 1.30/1.20 % (19157)Termination phase: Saturation
% 1.30/1.20
% 1.30/1.20 % (19157)Memory used [KB]: 1023
% 1.30/1.20 % (19157)Time elapsed: 0.003 s
% 1.30/1.20 % (19157)Instructions burned: 3 (million)
% 1.30/1.20 % (19157)------------------------------
% 1.30/1.20 % (19157)------------------------------
% 1.33/1.20 % (19160)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/4Mi)
% 1.33/1.21 % (19160)Instruction limit reached!
% 1.33/1.21 % (19160)------------------------------
% 1.33/1.21 % (19160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.21 % (19160)Termination reason: Unknown
% 1.33/1.21 % (19160)Termination phase: Saturation
% 1.33/1.21
% 1.33/1.21 % (19160)Memory used [KB]: 5500
% 1.33/1.21 % (19160)Time elapsed: 0.003 s
% 1.33/1.21 % (19160)Instructions burned: 5 (million)
% 1.33/1.21 % (19160)------------------------------
% 1.33/1.21 % (19160)------------------------------
% 1.33/1.21 % (19159)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/3Mi)
% 1.33/1.21 % (19159)Instruction limit reached!
% 1.33/1.21 % (19159)------------------------------
% 1.33/1.21 % (19159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.21 % (19159)Termination reason: Unknown
% 1.33/1.21 % (19159)Termination phase: Saturation
% 1.33/1.21
% 1.33/1.21 % (19159)Memory used [KB]: 5500
% 1.33/1.21 % (19159)Time elapsed: 0.003 s
% 1.33/1.21 % (19159)Instructions burned: 3 (million)
% 1.33/1.21 % (19159)------------------------------
% 1.33/1.21 % (19159)------------------------------
% 1.33/1.21 % (19162)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/710Mi)
% 1.33/1.21 % (19161)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/18Mi)
% 1.33/1.22 % (19164)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/6Mi)
% 1.33/1.22 % (19164)Instruction limit reached!
% 1.33/1.22 % (19164)------------------------------
% 1.33/1.22 % (19164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.22 % (19164)Termination reason: Unknown
% 1.33/1.22 % (19164)Termination phase: Saturation
% 1.33/1.22
% 1.33/1.22 % (19164)Memory used [KB]: 5500
% 1.33/1.22 % (19164)Time elapsed: 0.003 s
% 1.33/1.22 % (19164)Instructions burned: 6 (million)
% 1.33/1.22 % (19164)------------------------------
% 1.33/1.22 % (19164)------------------------------
% 1.33/1.22 % (19161)Instruction limit reached!
% 1.33/1.22 % (19161)------------------------------
% 1.33/1.22 % (19161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.22 % (19161)Termination reason: Unknown
% 1.33/1.22 % (19161)Termination phase: Saturation
% 1.33/1.22
% 1.33/1.22 % (19161)Memory used [KB]: 5628
% 1.33/1.22 % (19161)Time elapsed: 0.011 s
% 1.33/1.22 % (19161)Instructions burned: 19 (million)
% 1.33/1.22 % (19161)------------------------------
% 1.33/1.22 % (19161)------------------------------
% 1.33/1.22 % (19165)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_19042 for (2999ds/902Mi)
% 1.33/1.23 % (19166)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_19042 for (2999ds/21Mi)
% 1.33/1.23 % (19166)Instruction limit reached!
% 1.33/1.23 % (19166)------------------------------
% 1.33/1.23 % (19166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.23 % (19166)Termination reason: Unknown
% 1.33/1.23 % (19166)Termination phase: Saturation
% 1.33/1.23
% 1.33/1.23 % (19166)Memory used [KB]: 5628
% 1.33/1.23 % (19166)Time elapsed: 0.009 s
% 1.33/1.23 % (19166)Instructions burned: 23 (million)
% 1.33/1.23 % (19166)------------------------------
% 1.33/1.23 % (19166)------------------------------
% 1.33/1.24 % (19141)Instruction limit reached!
% 1.33/1.24 % (19141)------------------------------
% 1.33/1.24 % (19141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.24 % (19141)Termination reason: Unknown
% 1.33/1.24 % (19141)Termination phase: Saturation
% 1.33/1.24
% 1.33/1.24 % (19141)Memory used [KB]: 6524
% 1.33/1.24 % (19141)Time elapsed: 0.092 s
% 1.33/1.24 % (19141)Instructions burned: 184 (million)
% 1.33/1.24 % (19141)------------------------------
% 1.33/1.24 % (19141)------------------------------
% 1.33/1.24 % (19167)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/5Mi)
% 1.33/1.24 % (19167)Instruction limit reached!
% 1.33/1.24 % (19167)------------------------------
% 1.33/1.24 % (19167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.24 % (19167)Termination reason: Unknown
% 1.33/1.24 % (19167)Termination phase: Saturation
% 1.33/1.24
% 1.33/1.24 % (19167)Memory used [KB]: 5500
% 1.33/1.24 % (19167)Time elapsed: 0.004 s
% 1.33/1.24 % (19167)Instructions burned: 5 (million)
% 1.33/1.24 % (19167)------------------------------
% 1.33/1.24 % (19167)------------------------------
% 1.33/1.24 % (19168)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_19042 for (2999ds/6Mi)
% 1.33/1.25 % (19168)Instruction limit reached!
% 1.33/1.25 % (19168)------------------------------
% 1.33/1.25 % (19168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.25 % (19168)Termination reason: Unknown
% 1.33/1.25 % (19168)Termination phase: Saturation
% 1.33/1.25
% 1.33/1.25 % (19168)Memory used [KB]: 5500
% 1.33/1.25 % (19168)Time elapsed: 0.004 s
% 1.33/1.25 % (19168)Instructions burned: 9 (million)
% 1.33/1.25 % (19168)------------------------------
% 1.33/1.25 % (19168)------------------------------
% 1.33/1.26 % (19169)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_19042 for (2999ds/377Mi)
% 1.33/1.26 % (19170)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_19042 for (2999ds/779Mi)
% 1.33/1.27 % (19171)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_19042 for (2998ds/19Mi)
% 1.33/1.28 % (19171)Instruction limit reached!
% 1.33/1.28 % (19171)------------------------------
% 1.33/1.28 % (19171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.28 % (19171)Termination reason: Unknown
% 1.33/1.28 % (19171)Termination phase: Saturation
% 1.33/1.28
% 1.33/1.28 % (19171)Memory used [KB]: 5628
% 1.33/1.28 % (19171)Time elapsed: 0.011 s
% 1.33/1.28 % (19171)Instructions burned: 19 (million)
% 1.33/1.28 % (19171)------------------------------
% 1.33/1.28 % (19171)------------------------------
% 1.33/1.28 % (19146)Instruction limit reached!
% 1.33/1.28 % (19146)------------------------------
% 1.33/1.28 % (19146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.28 % (19146)Termination reason: Unknown
% 1.33/1.28 % (19146)Termination phase: Saturation
% 1.33/1.28
% 1.33/1.28 % (19146)Memory used [KB]: 5884
% 1.33/1.28 % (19146)Time elapsed: 0.129 s
% 1.33/1.28 % (19146)Instructions burned: 276 (million)
% 1.33/1.28 % (19146)------------------------------
% 1.33/1.28 % (19146)------------------------------
% 1.33/1.29 % (19174)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_19042 for (2998ds/17Mi)
% 1.33/1.29 % (19173)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_19042 for (2998ds/879Mi)
% 1.33/1.30 % (19174)Instruction limit reached!
% 1.33/1.30 % (19174)------------------------------
% 1.33/1.30 % (19174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.30 % (19174)Termination reason: Unknown
% 1.33/1.30 % (19174)Termination phase: Saturation
% 1.33/1.30
% 1.33/1.30 % (19174)Memory used [KB]: 5628
% 1.33/1.30 % (19174)Time elapsed: 0.011 s
% 1.33/1.30 % (19174)Instructions burned: 17 (million)
% 1.33/1.30 % (19174)------------------------------
% 1.33/1.30 % (19174)------------------------------
% 1.33/1.32 % (19175)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_19042 for (2998ds/3Mi)
% 1.33/1.33 % (19175)Instruction limit reached!
% 1.33/1.33 % (19175)------------------------------
% 1.33/1.33 % (19175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.33 % (19175)Termination reason: Unknown
% 1.33/1.33 % (19175)Termination phase: Saturation
% 1.33/1.33
% 1.33/1.33 % (19175)Memory used [KB]: 1023
% 1.33/1.33 % (19175)Time elapsed: 0.002 s
% 1.33/1.33 % (19175)Instructions burned: 3 (million)
% 1.33/1.33 % (19175)------------------------------
% 1.33/1.33 % (19175)------------------------------
% 1.33/1.33 % (19176)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_19042 for (2998ds/30Mi)
% 1.33/1.35 % (19176)Instruction limit reached!
% 1.33/1.35 % (19176)------------------------------
% 1.33/1.35 % (19176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.35 % (19176)Termination reason: Unknown
% 1.33/1.35 % (19176)Termination phase: Saturation
% 1.33/1.35
% 1.33/1.35 % (19176)Memory used [KB]: 5628
% 1.33/1.35 % (19176)Time elapsed: 0.015 s
% 1.33/1.35 % (19176)Instructions burned: 30 (million)
% 1.33/1.35 % (19176)------------------------------
% 1.33/1.35 % (19176)------------------------------
% 1.33/1.37 % (19177)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_19042 for (2997ds/127Mi)
% 1.33/1.41 % (19177)Instruction limit reached!
% 1.33/1.41 % (19177)------------------------------
% 1.33/1.41 % (19177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.41 % (19177)Termination reason: Unknown
% 1.33/1.41 % (19177)Termination phase: Saturation
% 1.33/1.41
% 1.33/1.41 % (19177)Memory used [KB]: 5628
% 1.33/1.41 % (19177)Time elapsed: 0.042 s
% 1.33/1.41 % (19177)Instructions burned: 127 (million)
% 1.33/1.41 % (19177)------------------------------
% 1.33/1.41 % (19177)------------------------------
% 1.33/1.42 % (19178)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_19042 for (2997ds/100Mi)
% 1.33/1.44 % (19169)Instruction limit reached!
% 1.33/1.44 % (19169)------------------------------
% 1.33/1.44 % (19169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.44 % (19169)Termination reason: Unknown
% 1.33/1.44 % (19169)Termination phase: Saturation
% 1.33/1.44
% 1.33/1.44 % (19169)Memory used [KB]: 5884
% 1.33/1.44 % (19169)Time elapsed: 0.187 s
% 1.33/1.44 % (19169)Instructions burned: 378 (million)
% 1.33/1.44 % (19169)------------------------------
% 1.33/1.44 % (19169)------------------------------
% 1.33/1.46 % (19179)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_19042 for (2997ds/3Mi)
% 1.33/1.46 % (19178)Instruction limit reached!
% 1.33/1.46 % (19178)------------------------------
% 1.33/1.46 % (19178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.46 % (19178)Termination reason: Unknown
% 1.33/1.46 % (19178)Termination phase: Saturation
% 1.33/1.46
% 1.33/1.46 % (19178)Memory used [KB]: 5756
% 1.33/1.46 % (19178)Time elapsed: 0.041 s
% 1.33/1.46 % (19178)Instructions burned: 100 (million)
% 1.33/1.46 % (19178)------------------------------
% 1.33/1.46 % (19178)------------------------------
% 1.33/1.46 % (19179)Instruction limit reached!
% 1.33/1.46 % (19179)------------------------------
% 1.33/1.46 % (19179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.46 % (19179)Termination reason: Unknown
% 1.33/1.46 % (19179)Termination phase: Saturation
% 1.33/1.46
% 1.33/1.46 % (19179)Memory used [KB]: 5500
% 1.33/1.46 % (19179)Time elapsed: 0.003 s
% 1.33/1.46 % (19179)Instructions burned: 3 (million)
% 1.33/1.46 % (19179)------------------------------
% 1.33/1.46 % (19179)------------------------------
% 1.33/1.47 % (19180)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_19042 for (2996ds/20Mi)
% 1.33/1.47 % (19181)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_19042 for (2996ds/86Mi)
% 1.33/1.47 % (19162)Instruction limit reached!
% 1.33/1.47 % (19162)------------------------------
% 1.33/1.47 % (19162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.47 % (19162)Termination reason: Unknown
% 1.33/1.47 % (19162)Termination phase: Saturation
% 1.33/1.47
% 1.33/1.47 % (19162)Memory used [KB]: 6780
% 1.33/1.47 % (19162)Time elapsed: 0.265 s
% 1.33/1.47 % (19162)Instructions burned: 713 (million)
% 1.33/1.47 % (19162)------------------------------
% 1.33/1.47 % (19162)------------------------------
% 1.33/1.48 % (19180)Instruction limit reached!
% 1.33/1.48 % (19180)------------------------------
% 1.33/1.48 % (19180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.48 % (19180)Termination reason: Unknown
% 1.33/1.48 % (19180)Termination phase: Saturation
% 1.33/1.48
% 1.33/1.48 % (19182)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_19042 for (2996ds/107Mi)
% 1.33/1.48 % (19180)Memory used [KB]: 5628
% 1.33/1.48 % (19180)Time elapsed: 0.012 s
% 1.33/1.48 % (19180)Instructions burned: 20 (million)
% 1.33/1.48 % (19180)------------------------------
% 1.33/1.48 % (19180)------------------------------
% 1.33/1.50 % (19183)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_19042 for (2996ds/39Mi)
% 1.33/1.52 % (19181)Instruction limit reached!
% 1.33/1.52 % (19181)------------------------------
% 1.33/1.52 % (19181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.52 % (19181)Termination reason: Unknown
% 1.33/1.52 % (19181)Termination phase: Saturation
% 1.33/1.52
% 1.33/1.52 % (19181)Memory used [KB]: 5756
% 1.33/1.52 % (19181)Time elapsed: 0.044 s
% 1.33/1.52 % (19181)Instructions burned: 86 (million)
% 1.33/1.52 % (19181)------------------------------
% 1.33/1.52 % (19181)------------------------------
% 1.33/1.52 % (19182)Instruction limit reached!
% 1.33/1.52 % (19182)------------------------------
% 1.33/1.52 % (19182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.52 % (19182)Termination reason: Unknown
% 1.33/1.52 % (19182)Termination phase: Saturation
% 1.33/1.52
% 1.33/1.52 % (19182)Memory used [KB]: 5756
% 1.33/1.52 % (19182)Time elapsed: 0.034 s
% 1.33/1.52 % (19182)Instructions burned: 108 (million)
% 1.33/1.52 % (19182)------------------------------
% 1.33/1.52 % (19182)------------------------------
% 1.33/1.52 % (19183)Instruction limit reached!
% 1.33/1.52 % (19183)------------------------------
% 1.33/1.52 % (19183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.52 % (19183)Termination reason: Unknown
% 1.33/1.52 % (19183)Termination phase: Saturation
% 1.33/1.52
% 1.33/1.52 % (19183)Memory used [KB]: 5884
% 1.33/1.52 % (19183)Time elapsed: 0.042 s
% 1.33/1.52 % (19183)Instructions burned: 39 (million)
% 1.33/1.52 % (19183)------------------------------
% 1.33/1.52 % (19183)------------------------------
% 1.33/1.53 % (19184)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_19042 for (2996ds/448Mi)
% 1.33/1.54 % (19186)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_19042 for (2996ds/98Mi)
% 1.33/1.54 % (19185)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_19042 for (2996ds/46Mi)
% 1.33/1.56 % (19185)Instruction limit reached!
% 1.33/1.56 % (19185)------------------------------
% 1.33/1.56 % (19185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.56 % (19185)Termination reason: Unknown
% 1.33/1.56 % (19185)Termination phase: Saturation
% 1.33/1.56
% 1.33/1.56 % (19185)Memory used [KB]: 5628
% 1.33/1.56 % (19185)Time elapsed: 0.047 s
% 1.33/1.56 % (19185)Instructions burned: 47 (million)
% 1.33/1.56 % (19185)------------------------------
% 1.33/1.56 % (19185)------------------------------
% 1.33/1.57 % (19187)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_19042 for (2995ds/507Mi)
% 1.33/1.58 % (19186)Instruction limit reached!
% 1.33/1.58 % (19186)------------------------------
% 1.33/1.58 % (19186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.58 % (19186)Termination reason: Unknown
% 1.33/1.58 % (19186)Termination phase: Saturation
% 1.33/1.58
% 1.33/1.58 % (19186)Memory used [KB]: 1279
% 1.33/1.58 % (19186)Time elapsed: 0.050 s
% 1.33/1.58 % (19186)Instructions burned: 98 (million)
% 1.33/1.58 % (19186)------------------------------
% 1.33/1.58 % (19186)------------------------------
% 1.33/1.60 % (19188)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_19042 for (2995ds/149Mi)
% 1.33/1.62 % (19170)Instruction limit reached!
% 1.33/1.62 % (19170)------------------------------
% 1.33/1.62 % (19170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.62 % (19170)Termination reason: Unknown
% 1.33/1.62 % (19170)Termination phase: Saturation
% 1.33/1.62
% 1.33/1.62 % (19170)Memory used [KB]: 6524
% 1.33/1.62 % (19170)Time elapsed: 0.364 s
% 1.33/1.62 % (19170)Instructions burned: 780 (million)
% 1.33/1.62 % (19170)------------------------------
% 1.33/1.62 % (19170)------------------------------
% 1.33/1.64 % (19189)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_19042 for (2995ds/39Mi)
% 1.33/1.66 % (19189)Instruction limit reached!
% 1.33/1.66 % (19189)------------------------------
% 1.33/1.66 % (19189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.66 % (19189)Termination reason: Unknown
% 1.33/1.66 % (19189)Termination phase: Saturation
% 1.33/1.66
% 1.33/1.66 % (19189)Memory used [KB]: 5500
% 1.33/1.66 % (19189)Time elapsed: 0.022 s
% 1.33/1.66 % (19189)Instructions burned: 40 (million)
% 1.33/1.66 % (19189)------------------------------
% 1.33/1.66 % (19189)------------------------------
% 1.33/1.66 % (19165)Instruction limit reached!
% 1.33/1.66 % (19165)------------------------------
% 1.33/1.66 % (19165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.66 % (19165)Termination reason: Unknown
% 1.33/1.66 % (19165)Termination phase: Saturation
% 1.33/1.66
% 1.33/1.66 % (19165)Memory used [KB]: 7419
% 1.33/1.66 % (19165)Time elapsed: 0.439 s
% 1.33/1.66 % (19165)Instructions burned: 902 (million)
% 1.33/1.66 % (19165)------------------------------
% 1.33/1.66 % (19165)------------------------------
% 1.33/1.66 % (19152)Instruction limit reached!
% 1.33/1.66 % (19152)------------------------------
% 1.33/1.66 % (19152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.67 % (19152)Termination reason: Unknown
% 1.33/1.67 % (19152)Termination phase: Saturation
% 1.33/1.67
% 1.33/1.67 % (19152)Memory used [KB]: 6140
% 1.33/1.67 % (19152)Time elapsed: 0.484 s
% 1.33/1.67 % (19152)Instructions burned: 1042 (million)
% 1.33/1.67 % (19152)------------------------------
% 1.33/1.67 % (19152)------------------------------
% 1.33/1.67 % (19191)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_19042 for (2994ds/1087Mi)
% 1.33/1.67 % (19190)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_19042 for (2994ds/6Mi)
% 1.33/1.68 % (19188)Instruction limit reached!
% 1.33/1.68 % (19188)------------------------------
% 1.33/1.68 % (19188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.68 % (19188)Termination reason: Unknown
% 1.33/1.68 % (19188)Termination phase: Saturation
% 1.33/1.68
% 1.33/1.68 % (19188)Memory used [KB]: 6012
% 1.33/1.68 % (19188)Time elapsed: 0.078 s
% 1.33/1.68 % (19188)Instructions burned: 149 (million)
% 1.33/1.68 % (19188)------------------------------
% 1.33/1.68 % (19188)------------------------------
% 1.33/1.68 % (19190)Instruction limit reached!
% 1.33/1.68 % (19190)------------------------------
% 1.33/1.68 % (19190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.68 % (19190)Termination reason: Unknown
% 1.33/1.68 % (19190)Termination phase: Saturation
% 1.33/1.68
% 1.33/1.68 % (19190)Memory used [KB]: 9978
% 1.33/1.68 % (19190)Time elapsed: 0.005 s
% 1.33/1.68 % (19190)Instructions burned: 6 (million)
% 1.33/1.68 % (19190)------------------------------
% 1.33/1.68 % (19190)------------------------------
% 1.33/1.68 % (19192)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_19042 for (2994ds/47Mi)
% 1.33/1.69 % (19194)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_19042 for (2994ds/432Mi)
% 1.33/1.70 % (19173)Instruction limit reached!
% 1.33/1.70 % (19173)------------------------------
% 1.33/1.70 % (19173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.70 % (19173)Termination reason: Unknown
% 1.33/1.70 % (19173)Termination phase: Saturation
% 1.33/1.70
% 1.33/1.70 % (19173)Memory used [KB]: 6268
% 1.33/1.70 % (19173)Time elapsed: 0.406 s
% 1.33/1.70 % (19173)Instructions burned: 879 (million)
% 1.33/1.70 % (19173)------------------------------
% 1.33/1.70 % (19173)------------------------------
% 1.33/1.70 % (19193)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_19042 for (2994ds/44Mi)
% 1.33/1.70 % (19192)Instruction limit reached!
% 1.33/1.70 % (19192)------------------------------
% 1.33/1.70 % (19192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.70 % (19192)Termination reason: Unknown
% 1.33/1.70 % (19192)Termination phase: Saturation
% 1.33/1.70
% 1.33/1.70 % (19192)Memory used [KB]: 5628
% 1.33/1.70 % (19192)Time elapsed: 0.025 s
% 1.33/1.70 % (19192)Instructions burned: 48 (million)
% 1.33/1.70 % (19192)------------------------------
% 1.33/1.70 % (19192)------------------------------
% 1.33/1.71 % (19195)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_19042 for (2994ds/62Mi)
% 1.33/1.71 % (19193)Instruction limit reached!
% 1.33/1.71 % (19193)------------------------------
% 1.33/1.71 % (19193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.71 % (19193)Termination reason: Unknown
% 1.33/1.71 % (19193)Termination phase: Saturation
% 1.33/1.71
% 1.33/1.71 % (19193)Memory used [KB]: 1279
% 1.33/1.71 % (19193)Time elapsed: 0.016 s
% 1.33/1.71 % (19193)Instructions burned: 47 (million)
% 1.33/1.71 % (19193)------------------------------
% 1.33/1.71 % (19193)------------------------------
% 1.33/1.72 % (19196)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_19042 for (2994ds/31Mi)
% 1.33/1.72 % (19197)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_19042 for (2994ds/96Mi)
% 1.33/1.73 % (19184)Instruction limit reached!
% 1.33/1.73 % (19184)------------------------------
% 1.33/1.73 % (19184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.73 % (19184)Termination reason: Unknown
% 1.33/1.73 % (19184)Termination phase: Saturation
% 1.33/1.73
% 1.33/1.73 % (19184)Memory used [KB]: 6652
% 1.33/1.73 % (19184)Time elapsed: 0.226 s
% 1.33/1.73 % (19184)Instructions burned: 449 (million)
% 1.33/1.73 % (19184)------------------------------
% 1.33/1.73 % (19184)------------------------------
% 1.33/1.74 % (19196)Instruction limit reached!
% 1.33/1.74 % (19196)------------------------------
% 1.33/1.74 % (19196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.74 % (19196)Termination reason: Unknown
% 1.33/1.74 % (19196)Termination phase: Saturation
% 1.33/1.74
% 1.33/1.74 % (19196)Memory used [KB]: 5628
% 1.33/1.74 % (19196)Time elapsed: 0.017 s
% 1.33/1.74 % (19196)Instructions burned: 31 (million)
% 1.33/1.74 % (19196)------------------------------
% 1.33/1.74 % (19196)------------------------------
% 1.33/1.74 % (19195)Instruction limit reached!
% 1.33/1.74 % (19195)------------------------------
% 1.33/1.74 % (19195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.74 % (19195)Termination reason: Unknown
% 1.33/1.74 % (19195)Termination phase: Saturation
% 1.33/1.74
% 1.33/1.74 % (19195)Memory used [KB]: 6012
% 1.33/1.74 % (19195)Time elapsed: 0.032 s
% 1.33/1.74 % (19195)Instructions burned: 64 (million)
% 1.33/1.74 % (19195)------------------------------
% 1.33/1.74 % (19195)------------------------------
% 1.33/1.75 % (19198)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_19042 for (2994ds/453Mi)
% 1.33/1.75 % (19197)Instruction limit reached!
% 1.33/1.75 % (19197)------------------------------
% 1.33/1.75 % (19197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.75 % (19197)Termination reason: Unknown
% 1.33/1.75 % (19197)Termination phase: Saturation
% 1.33/1.75
% 1.33/1.75 % (19197)Memory used [KB]: 5628
% 1.33/1.75 % (19197)Time elapsed: 0.031 s
% 1.33/1.75 % (19197)Instructions burned: 98 (million)
% 1.33/1.75 % (19197)------------------------------
% 1.33/1.75 % (19197)------------------------------
% 1.33/1.76 % (19199)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_19042 for (2993ds/71Mi)
% 1.33/1.76 % (19200)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_19042 for (2993ds/83Mi)
% 1.33/1.76 % (19201)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_19042 for (2993ds/11Mi)
% 1.33/1.77 % (19201)Instruction limit reached!
% 1.33/1.77 % (19201)------------------------------
% 1.33/1.77 % (19201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.77 % (19201)Termination reason: Unknown
% 1.33/1.77 % (19201)Termination phase: Saturation
% 1.33/1.77
% 1.33/1.77 % (19201)Memory used [KB]: 5500
% 1.33/1.77 % (19201)Time elapsed: 0.005 s
% 1.33/1.77 % (19201)Instructions burned: 13 (million)
% 1.33/1.77 % (19201)------------------------------
% 1.33/1.77 % (19201)------------------------------
% 1.33/1.77 % (19187)Instruction limit reached!
% 1.33/1.77 % (19187)------------------------------
% 1.33/1.77 % (19187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.77 % (19187)Termination reason: Unknown
% 1.33/1.77 % (19187)Termination phase: Saturation
% 1.33/1.77
% 1.33/1.77 % (19187)Memory used [KB]: 6140
% 1.33/1.77 % (19187)Time elapsed: 0.208 s
% 1.33/1.77 % (19187)Instructions burned: 508 (million)
% 1.33/1.77 % (19187)------------------------------
% 1.33/1.77 % (19187)------------------------------
% 1.33/1.79 % (19202)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_19042 for (2993ds/41Mi)
% 1.33/1.79 % (19199)Instruction limit reached!
% 1.33/1.79 % (19199)------------------------------
% 1.33/1.79 % (19199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.79 % (19199)Termination reason: Unknown
% 1.33/1.79 % (19199)Termination phase: Saturation
% 1.33/1.79
% 1.33/1.79 % (19199)Memory used [KB]: 5756
% 1.33/1.79 % (19199)Time elapsed: 0.037 s
% 1.33/1.79 % (19199)Instructions burned: 72 (million)
% 1.33/1.79 % (19199)------------------------------
% 1.33/1.79 % (19199)------------------------------
% 1.33/1.79 % (19203)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_19042 for (2993ds/6Mi)
% 1.33/1.80 % (19203)Instruction limit reached!
% 1.33/1.80 % (19203)------------------------------
% 1.33/1.80 % (19203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.80 % (19203)Termination reason: Unknown
% 1.33/1.80 % (19203)Termination phase: Saturation
% 1.33/1.80
% 1.33/1.80 % (19203)Memory used [KB]: 5500
% 1.33/1.80 % (19203)Time elapsed: 0.005 s
% 1.33/1.80 % (19203)Instructions burned: 6 (million)
% 1.33/1.80 % (19203)------------------------------
% 1.33/1.80 % (19203)------------------------------
% 1.33/1.80 % (19200)Instruction limit reached!
% 1.33/1.80 % (19200)------------------------------
% 1.33/1.80 % (19200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.80 % (19200)Termination reason: Unknown
% 1.33/1.80 % (19200)Termination phase: Saturation
% 1.33/1.80
% 1.33/1.80 % (19200)Memory used [KB]: 5884
% 1.33/1.80 % (19200)Time elapsed: 0.043 s
% 1.33/1.80 % (19200)Instructions burned: 83 (million)
% 1.33/1.80 % (19200)------------------------------
% 1.33/1.80 % (19200)------------------------------
% 1.33/1.81 % (19202)Instruction limit reached!
% 1.33/1.81 % (19202)------------------------------
% 1.33/1.81 % (19202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.81 % (19202)Termination reason: Unknown
% 1.33/1.81 % (19202)Termination phase: Saturation
% 1.33/1.81
% 1.33/1.81 % (19202)Memory used [KB]: 5628
% 1.33/1.81 % (19202)Time elapsed: 0.022 s
% 1.33/1.81 % (19202)Instructions burned: 41 (million)
% 1.33/1.81 % (19202)------------------------------
% 1.33/1.81 % (19202)------------------------------
% 1.33/1.81 % (19204)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_19042 for (2993ds/150Mi)
% 1.33/1.81 % (19206)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_19042 for (2993ds/343Mi)
% 1.33/1.82 % (19207)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_19042 for (2993ds/109Mi)
% 1.33/1.82 % (19208)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_19042 for (2993ds/253Mi)
% 1.33/1.86 % (19194)Instruction limit reached!
% 1.33/1.86 % (19194)------------------------------
% 1.33/1.86 % (19194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.86 % (19194)Termination reason: Unknown
% 1.33/1.86 % (19194)Termination phase: Saturation
% 1.33/1.86
% 1.33/1.86 % (19194)Memory used [KB]: 3454
% 1.33/1.86 % (19194)Time elapsed: 0.166 s
% 1.33/1.86 % (19194)Instructions burned: 433 (million)
% 1.33/1.86 % (19194)------------------------------
% 1.33/1.86 % (19194)------------------------------
% 1.33/1.87 % (19207)Instruction limit reached!
% 1.33/1.87 % (19207)------------------------------
% 1.33/1.87 % (19207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.87 % (19207)Termination reason: Unknown
% 1.33/1.87 % (19207)Termination phase: Saturation
% 1.33/1.87
% 1.33/1.87 % (19207)Memory used [KB]: 5756
% 1.33/1.87 % (19207)Time elapsed: 0.054 s
% 1.33/1.87 % (19207)Instructions burned: 109 (million)
% 1.33/1.87 % (19207)------------------------------
% 1.33/1.87 % (19207)------------------------------
% 1.33/1.87 % (19209)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_19042 for (2992ds/140Mi)
% 1.33/1.88 % (19204)Instruction limit reached!
% 1.33/1.88 % (19204)------------------------------
% 1.33/1.88 % (19204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.88 % (19204)Termination reason: Unknown
% 1.33/1.88 % (19204)Termination phase: Saturation
% 1.33/1.88
% 1.33/1.88 % (19204)Memory used [KB]: 5756
% 1.33/1.88 % (19204)Time elapsed: 0.064 s
% 1.33/1.88 % (19204)Instructions burned: 150 (million)
% 1.33/1.88 % (19204)------------------------------
% 1.33/1.88 % (19204)------------------------------
% 1.33/1.88 % (19209)Refutation not found, incomplete strategy
% 1.33/1.88 % (19209)------------------------------
% 1.33/1.88 % (19209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.88 % (19209)Termination reason: Refutation not found, incomplete strategy
% 1.33/1.88
% 1.33/1.88
% 1.33/1.88 % (19209)Memory used [KB]: 5500
% 1.33/1.88 % (19209)Time elapsed: 0.005 s
% 1.33/1.88 % (19209)Instructions burned: 7 (million)
% 1.33/1.88 % (19209)------------------------------
% 1.33/1.88 % (19209)------------------------------
% 1.33/1.89 % (19210)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_19042 for (2992ds/614Mi)
% 1.33/1.89 % (19211)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_19042 for (2992ds/202Mi)
% 1.33/1.89 % (19212)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_19042 for (2992ds/339Mi)
% 1.33/1.92 % (19208)Instruction limit reached!
% 1.33/1.92 % (19208)------------------------------
% 1.33/1.92 % (19208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.92 % (19208)Termination reason: Unknown
% 1.33/1.92 % (19208)Termination phase: Saturation
% 1.33/1.92
% 1.33/1.92 % (19208)Memory used [KB]: 5884
% 1.33/1.92 % (19208)Time elapsed: 0.096 s
% 1.33/1.92 % (19208)Instructions burned: 253 (million)
% 1.33/1.92 % (19208)------------------------------
% 1.33/1.92 % (19208)------------------------------
% 1.33/1.94 % (19213)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_19042 for (2992ds/283Mi)
% 1.33/1.96 % (19198)Instruction limit reached!
% 1.33/1.96 % (19198)------------------------------
% 1.33/1.96 % (19198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.96 % (19198)Termination reason: Unknown
% 1.33/1.96 % (19198)Termination phase: Saturation
% 1.33/1.96
% 1.33/1.96 % (19198)Memory used [KB]: 6012
% 1.33/1.96 % (19198)Time elapsed: 0.216 s
% 1.33/1.96 % (19198)Instructions burned: 455 (million)
% 1.33/1.96 % (19198)------------------------------
% 1.33/1.96 % (19198)------------------------------
% 1.33/1.98 % (19206)Instruction limit reached!
% 1.33/1.98 % (19206)------------------------------
% 1.33/1.98 % (19206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.98 % (19206)Termination reason: Unknown
% 1.33/1.98 % (19206)Termination phase: Saturation
% 1.33/1.98
% 1.33/1.98 % (19206)Memory used [KB]: 6140
% 1.33/1.98 % (19206)Time elapsed: 0.164 s
% 1.33/1.98 % (19206)Instructions burned: 344 (million)
% 1.33/1.98 % (19206)------------------------------
% 1.33/1.98 % (19206)------------------------------
% 1.33/1.98 % (19214)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_19042 for (2991ds/134Mi)
% 1.33/1.99 % (19211)Instruction limit reached!
% 1.33/1.99 % (19211)------------------------------
% 1.33/1.99 % (19211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.99 % (19211)Termination reason: Unknown
% 1.33/1.99 % (19211)Termination phase: Saturation
% 1.33/1.99
% 1.33/1.99 % (19211)Memory used [KB]: 6012
% 1.33/1.99 % (19211)Time elapsed: 0.100 s
% 1.33/1.99 % (19211)Instructions burned: 202 (million)
% 1.33/1.99 % (19211)------------------------------
% 1.33/1.99 % (19211)------------------------------
% 1.33/1.99 % (19215)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_19042 for (2991ds/298Mi)
% 1.33/2.01 % (19216)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_19042 for (2991ds/192Mi)
% 7.32/2.04 % (19214)Instruction limit reached!
% 7.32/2.04 % (19214)------------------------------
% 7.32/2.04 % (19214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.32/2.04 % (19214)Termination reason: Unknown
% 7.32/2.04 % (19214)Termination phase: Saturation
% 7.32/2.04
% 7.32/2.04 % (19214)Memory used [KB]: 6140
% 7.32/2.04 % (19214)Time elapsed: 0.067 s
% 7.32/2.04 % (19214)Instructions burned: 134 (million)
% 7.32/2.04 % (19214)------------------------------
% 7.32/2.04 % (19214)------------------------------
% 7.32/2.06 % (19217)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_19042 for (2991ds/258Mi)
% 7.32/2.06 % (19212)Instruction limit reached!
% 7.32/2.06 % (19212)------------------------------
% 7.32/2.06 % (19212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.32/2.06 % (19212)Termination reason: Unknown
% 7.32/2.06 % (19212)Termination phase: Saturation
% 7.32/2.06
% 7.32/2.06 % (19212)Memory used [KB]: 6396
% 7.32/2.06 % (19212)Time elapsed: 0.169 s
% 7.32/2.06 % (19212)Instructions burned: 340 (million)
% 7.32/2.06 % (19212)------------------------------
% 7.32/2.06 % (19212)------------------------------
% 7.32/2.08 % (19218)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_19042 for (2990ds/90Mi)
% 7.32/2.08 % (19213)Instruction limit reached!
% 7.32/2.08 % (19213)------------------------------
% 7.32/2.08 % (19213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.32/2.08 % (19213)Termination reason: Unknown
% 7.32/2.08 % (19213)Termination phase: Saturation
% 7.32/2.08
% 7.32/2.08 % (19213)Memory used [KB]: 6908
% 7.32/2.08 % (19213)Time elapsed: 0.152 s
% 7.32/2.08 % (19213)Instructions burned: 284 (million)
% 7.32/2.08 % (19213)------------------------------
% 7.32/2.08 % (19213)------------------------------
% 7.32/2.10 % (19215)Instruction limit reached!
% 7.32/2.10 % (19215)------------------------------
% 7.32/2.10 % (19215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.32/2.10 % (19215)Termination reason: Unknown
% 7.32/2.10 % (19215)Termination phase: Saturation
% 7.32/2.10
% 7.32/2.10 % (19215)Memory used [KB]: 6140
% 7.32/2.10 % (19215)Time elapsed: 0.108 s
% 7.32/2.10 % (19215)Instructions burned: 299 (million)
% 7.32/2.10 % (19215)------------------------------
% 7.32/2.10 % (19215)------------------------------
% 7.32/2.10 % (19219)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_19042 for (2990ds/231Mi)
% 7.32/2.11 % (19216)Instruction limit reached!
% 7.32/2.11 % (19216)------------------------------
% 7.32/2.11 % (19216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.32/2.11 % (19216)Termination reason: Unknown
% 7.32/2.11 % (19216)Termination phase: Saturation
% 7.32/2.11
% 7.32/2.11 % (19216)Memory used [KB]: 6396
% 7.32/2.11 % (19216)Time elapsed: 0.115 s
% 7.32/2.11 % (19216)Instructions burned: 193 (million)
% 7.32/2.11 % (19216)------------------------------
% 7.32/2.11 % (19216)------------------------------
% 7.32/2.11 % (19220)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_19042 for (2990ds/458Mi)
% 7.32/2.12 % (19221)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_19042 for (2990ds/31Mi)
% 7.86/2.13 % (19218)Instruction limit reached!
% 7.86/2.13 % (19218)------------------------------
% 7.86/2.13 % (19218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.13 % (19218)Termination reason: Unknown
% 7.86/2.13 % (19218)Termination phase: Saturation
% 7.86/2.13
% 7.86/2.13 % (19218)Memory used [KB]: 5756
% 7.86/2.13 % (19218)Time elapsed: 0.047 s
% 7.86/2.13 % (19218)Instructions burned: 90 (million)
% 7.86/2.13 % (19218)------------------------------
% 7.86/2.13 % (19218)------------------------------
% 7.86/2.14 % (19221)Instruction limit reached!
% 7.86/2.14 % (19221)------------------------------
% 7.86/2.14 % (19221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.14 % (19221)Termination reason: Unknown
% 7.86/2.14 % (19221)Termination phase: Saturation
% 7.86/2.14
% 7.86/2.14 % (19221)Memory used [KB]: 5628
% 7.86/2.14 % (19221)Time elapsed: 0.017 s
% 7.86/2.14 % (19221)Instructions burned: 31 (million)
% 7.86/2.14 % (19221)------------------------------
% 7.86/2.14 % (19221)------------------------------
% 7.86/2.14 % (19222)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_19042 for (2990ds/297Mi)
% 7.86/2.15 % (19223)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_19042 for (2990ds/987Mi)
% 7.86/2.16 % (19191)Instruction limit reached!
% 7.86/2.16 % (19191)------------------------------
% 7.86/2.16 % (19191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.16 % (19191)Termination reason: Unknown
% 7.86/2.16 % (19191)Termination phase: Saturation
% 7.86/2.16
% 7.86/2.16 % (19191)Memory used [KB]: 6524
% 7.86/2.16 % (19191)Time elapsed: 0.488 s
% 7.86/2.16 % (19191)Instructions burned: 1088 (million)
% 7.86/2.16 % (19191)------------------------------
% 7.86/2.16 % (19191)------------------------------
% 7.86/2.17 % (19224)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_19042 for (2989ds/182Mi)
% 7.86/2.18 % (19210)Instruction limit reached!
% 7.86/2.18 % (19210)------------------------------
% 7.86/2.18 % (19210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.18 % (19210)Termination reason: Unknown
% 7.86/2.18 % (19210)Termination phase: Saturation
% 7.86/2.18
% 7.86/2.18 % (19210)Memory used [KB]: 6268
% 7.86/2.18 % (19210)Time elapsed: 0.295 s
% 7.86/2.18 % (19210)Instructions burned: 616 (million)
% 7.86/2.18 % (19210)------------------------------
% 7.86/2.18 % (19210)------------------------------
% 7.86/2.18 % (19217)Instruction limit reached!
% 7.86/2.18 % (19217)------------------------------
% 7.86/2.18 % (19217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.18 % (19217)Termination reason: Unknown
% 7.86/2.18 % (19217)Termination phase: Saturation
% 7.86/2.18
% 7.86/2.18 % (19217)Memory used [KB]: 6012
% 7.86/2.18 % (19217)Time elapsed: 0.124 s
% 7.86/2.18 % (19217)Instructions burned: 259 (million)
% 7.86/2.18 % (19217)------------------------------
% 7.86/2.18 % (19217)------------------------------
% 8.20/2.20 % (19225)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_19042 for (2989ds/182Mi)
% 8.20/2.21 % (19226)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_19042 for (2989ds/154Mi)
% 8.20/2.21 % (19219)Instruction limit reached!
% 8.20/2.21 % (19219)------------------------------
% 8.20/2.21 % (19219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.20/2.21 % (19219)Termination reason: Unknown
% 8.20/2.21 % (19219)Termination phase: Saturation
% 8.20/2.21
% 8.20/2.21 % (19219)Memory used [KB]: 6140
% 8.20/2.21 % (19219)Time elapsed: 0.112 s
% 8.20/2.21 % (19219)Instructions burned: 233 (million)
% 8.20/2.21 % (19219)------------------------------
% 8.20/2.21 % (19219)------------------------------
% 8.20/2.23 % (19227)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_19042 for (2989ds/79Mi)
% 8.20/2.26 % (19224)Instruction limit reached!
% 8.20/2.26 % (19224)------------------------------
% 8.20/2.26 % (19224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.20/2.26 % (19224)Termination reason: Unknown
% 8.20/2.26 % (19224)Termination phase: Saturation
% 8.20/2.26
% 8.20/2.26 % (19224)Memory used [KB]: 5756
% 8.20/2.26 % (19224)Time elapsed: 0.088 s
% 8.20/2.26 % (19224)Instructions burned: 183 (million)
% 8.20/2.26 % (19224)------------------------------
% 8.20/2.26 % (19224)------------------------------
% 8.20/2.27 % (19227)Instruction limit reached!
% 8.20/2.27 % (19227)------------------------------
% 8.20/2.27 % (19227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.20/2.27 % (19227)Termination reason: Unknown
% 8.20/2.27 % (19227)Termination phase: Saturation
% 8.20/2.27
% 8.20/2.27 % (19227)Memory used [KB]: 5628
% 8.20/2.27 % (19227)Time elapsed: 0.041 s
% 8.20/2.27 % (19227)Instructions burned: 80 (million)
% 8.20/2.27 % (19227)------------------------------
% 8.20/2.27 % (19227)------------------------------
% 8.20/2.27 % (19220)Instruction limit reached!
% 8.20/2.27 % (19220)------------------------------
% 8.20/2.27 % (19220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.20/2.27 % (19220)Termination reason: Unknown
% 8.20/2.27 % (19220)Termination phase: Saturation
% 8.20/2.27
% 8.20/2.27 % (19220)Memory used [KB]: 6140
% 8.20/2.27 % (19220)Time elapsed: 0.167 s
% 8.20/2.27 % (19220)Instructions burned: 458 (million)
% 8.20/2.27 % (19220)------------------------------
% 8.20/2.27 % (19220)------------------------------
% 8.20/2.28 % (19228)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_19042 for (2988ds/216Mi)
% 8.20/2.28 % (19229)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_19042 for (2988ds/114Mi)
% 8.20/2.29 % (19222)Instruction limit reached!
% 8.20/2.29 % (19222)------------------------------
% 8.20/2.29 % (19222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.20/2.29 % (19222)Termination reason: Unknown
% 8.20/2.29 % (19222)Termination phase: Saturation
% 8.20/2.29
% 8.20/2.29 % (19222)Memory used [KB]: 6396
% 8.20/2.29 % (19222)Time elapsed: 0.144 s
% 8.20/2.29 % (19222)Instructions burned: 297 (million)
% 8.20/2.29 % (19222)------------------------------
% 8.20/2.29 % (19222)------------------------------
% 8.20/2.29 % (19230)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_19042 for (2988ds/922Mi)
% 8.20/2.29 % (19225)Instruction limit reached!
% 8.20/2.29 % (19225)------------------------------
% 8.20/2.29 % (19225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.20/2.29 % (19225)Termination reason: Unknown
% 8.20/2.29 % (19225)Termination phase: Saturation
% 8.20/2.29
% 8.20/2.29 % (19225)Memory used [KB]: 6012
% 8.20/2.29 % (19225)Time elapsed: 0.114 s
% 8.20/2.29 % (19225)Instructions burned: 183 (million)
% 8.20/2.29 % (19225)------------------------------
% 8.20/2.29 % (19225)------------------------------
% 8.20/2.29 % (19226)Instruction limit reached!
% 8.20/2.29 % (19226)------------------------------
% 8.20/2.29 % (19226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.20/2.29 % (19226)Termination reason: Unknown
% 8.20/2.29 % (19226)Termination phase: Saturation
% 8.20/2.29
% 8.20/2.29 % (19226)Memory used [KB]: 6524
% 8.20/2.29 % (19226)Time elapsed: 0.100 s
% 8.20/2.29 % (19226)Instructions burned: 155 (million)
% 8.20/2.29 % (19226)------------------------------
% 8.20/2.29 % (19226)------------------------------
% 8.98/2.31 % (19232)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_19042 for (2988ds/164Mi)
% 8.98/2.31 % (19233)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_19042 for (2988ds/50Mi)
% 8.98/2.31 % (19231)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_19042 for (2988ds/182Mi)
% 8.98/2.33 % (19229)Instruction limit reached!
% 8.98/2.33 % (19229)------------------------------
% 8.98/2.33 % (19229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.98/2.33 % (19229)Termination reason: Unknown
% 8.98/2.33 % (19229)Termination phase: Saturation
% 8.98/2.33
% 8.98/2.33 % (19229)Memory used [KB]: 6012
% 8.98/2.33 % (19229)Time elapsed: 0.059 s
% 8.98/2.33 % (19229)Instructions burned: 114 (million)
% 8.98/2.33 % (19229)------------------------------
% 8.98/2.33 % (19229)------------------------------
% 8.98/2.33 % (19233)Instruction limit reached!
% 8.98/2.33 % (19233)------------------------------
% 8.98/2.33 % (19233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.98/2.33 % (19233)Termination reason: Unknown
% 8.98/2.33 % (19233)Termination phase: Saturation
% 8.98/2.33
% 8.98/2.33 % (19233)Memory used [KB]: 10490
% 8.98/2.33 % (19233)Time elapsed: 0.027 s
% 8.98/2.33 % (19233)Instructions burned: 51 (million)
% 8.98/2.33 % (19233)------------------------------
% 8.98/2.33 % (19233)------------------------------
% 8.98/2.34 % (19235)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_19042 for (2988ds/368Mi)
% 8.98/2.35 % (19236)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_19042 for (2987ds/1021Mi)
% 8.98/2.38 % (19228)Instruction limit reached!
% 8.98/2.38 % (19228)------------------------------
% 8.98/2.38 % (19228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.98/2.38 % (19228)Termination reason: Unknown
% 8.98/2.38 % (19228)Termination phase: Saturation
% 8.98/2.38
% 8.98/2.38 % (19228)Memory used [KB]: 6268
% 8.98/2.38 % (19228)Time elapsed: 0.127 s
% 8.98/2.38 % (19228)Instructions burned: 216 (million)
% 8.98/2.38 % (19228)------------------------------
% 8.98/2.38 % (19228)------------------------------
% 8.98/2.39 % (19232)Instruction limit reached!
% 8.98/2.39 % (19232)------------------------------
% 8.98/2.39 % (19232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.98/2.39 % (19232)Termination reason: Unknown
% 8.98/2.39 % (19232)Termination phase: Saturation
% 8.98/2.39
% 8.98/2.39 % (19232)Memory used [KB]: 1279
% 8.98/2.39 % (19232)Time elapsed: 0.083 s
% 8.98/2.39 % (19232)Instructions burned: 165 (million)
% 8.98/2.39 % (19232)------------------------------
% 8.98/2.39 % (19232)------------------------------
% 9.29/2.40 % (19231)Instruction limit reached!
% 9.29/2.40 % (19231)------------------------------
% 9.29/2.40 % (19231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.40 % (19231)Termination reason: Unknown
% 9.29/2.40 % (19231)Termination phase: Saturation
% 9.29/2.40
% 9.29/2.40 % (19231)Memory used [KB]: 5756
% 9.29/2.40 % (19231)Time elapsed: 0.122 s
% 9.29/2.40 % (19231)Instructions burned: 183 (million)
% 9.29/2.40 % (19231)------------------------------
% 9.29/2.40 % (19231)------------------------------
% 9.29/2.40 % (19237)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_19042 for (2987ds/267Mi)
% 9.29/2.41 % (19238)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_19042 for (2987ds/204Mi)
% 9.29/2.42 % (19239)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_19042 for (2987ds/26Mi)
% 9.29/2.43 % (19239)Instruction limit reached!
% 9.29/2.43 % (19239)------------------------------
% 9.29/2.43 % (19239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.43 % (19239)Termination reason: Unknown
% 9.29/2.43 % (19239)Termination phase: Saturation
% 9.29/2.43
% 9.29/2.43 % (19239)Memory used [KB]: 5500
% 9.29/2.43 % (19239)Time elapsed: 0.015 s
% 9.29/2.43 % (19239)Instructions burned: 26 (million)
% 9.29/2.43 % (19239)------------------------------
% 9.29/2.43 % (19239)------------------------------
% 9.29/2.45 % (19240)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_19042 for (2987ds/53Mi)
% 9.29/2.45 % (19235)Instruction limit reached!
% 9.29/2.45 % (19235)------------------------------
% 9.29/2.45 % (19235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.45 % (19235)Termination reason: Unknown
% 9.29/2.45 % (19235)Termination phase: Saturation
% 9.29/2.45
% 9.29/2.45 % (19235)Memory used [KB]: 6396
% 9.29/2.45 % (19235)Time elapsed: 0.113 s
% 9.29/2.45 % (19235)Instructions burned: 370 (million)
% 9.29/2.45 % (19235)------------------------------
% 9.29/2.45 % (19235)------------------------------
% 9.29/2.46 % (19241)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_19042 for (2986ds/4436Mi)
% 9.29/2.47 % (19240)Instruction limit reached!
% 9.29/2.47 % (19240)------------------------------
% 9.29/2.47 % (19240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.47 % (19240)Termination reason: Unknown
% 9.29/2.47 % (19240)Termination phase: Saturation
% 9.29/2.47
% 9.29/2.47 % (19240)Memory used [KB]: 6140
% 9.29/2.47 % (19240)Time elapsed: 0.027 s
% 9.29/2.47 % (19240)Instructions burned: 54 (million)
% 9.29/2.47 % (19240)------------------------------
% 9.29/2.47 % (19240)------------------------------
% 9.29/2.49 % (19242)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_19042 for (2986ds/1539Mi)
% 9.57/2.51 % (19238)Instruction limit reached!
% 9.57/2.51 % (19238)------------------------------
% 9.57/2.51 % (19238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/2.51 % (19238)Termination reason: Unknown
% 9.57/2.51 % (19238)Termination phase: Saturation
% 9.57/2.51
% 9.57/2.51 % (19238)Memory used [KB]: 6012
% 9.57/2.51 % (19238)Time elapsed: 0.101 s
% 9.57/2.51 % (19238)Instructions burned: 205 (million)
% 9.57/2.51 % (19238)------------------------------
% 9.57/2.51 % (19238)------------------------------
% 9.57/2.53 % (19237)Instruction limit reached!
% 9.57/2.53 % (19237)------------------------------
% 9.57/2.53 % (19237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/2.53 % (19237)Termination reason: Unknown
% 9.57/2.53 % (19237)Termination phase: Saturation
% 9.57/2.53
% 9.57/2.53 % (19237)Memory used [KB]: 6140
% 9.57/2.53 % (19237)Time elapsed: 0.134 s
% 9.57/2.53 % (19237)Instructions burned: 268 (million)
% 9.57/2.53 % (19237)------------------------------
% 9.57/2.53 % (19237)------------------------------
% 9.57/2.53 % (19243)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_19042 for (2986ds/408Mi)
% 9.57/2.55 % (19244)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_19042 for (2986ds/5205Mi)
% 9.84/2.62 % (19223)Instruction limit reached!
% 9.84/2.62 % (19223)------------------------------
% 9.84/2.62 % (19223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.84/2.62 % (19223)Termination reason: Unknown
% 9.84/2.62 % (19223)Termination phase: Saturation
% 9.84/2.62
% 9.84/2.62 % (19223)Memory used [KB]: 6524
% 9.84/2.62 % (19223)Time elapsed: 0.468 s
% 9.84/2.62 % (19223)Instructions burned: 988 (million)
% 9.84/2.62 % (19223)------------------------------
% 9.84/2.62 % (19223)------------------------------
% 9.84/2.64 % (19245)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_19042 for (2985ds/1913Mi)
% 9.84/2.67 % (19243)Instruction limit reached!
% 9.84/2.67 % (19243)------------------------------
% 9.84/2.67 % (19243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.84/2.67 % (19243)Termination reason: Unknown
% 9.84/2.67 % (19243)Termination phase: Saturation
% 9.84/2.67
% 9.84/2.67 % (19243)Memory used [KB]: 6908
% 9.84/2.67 % (19243)Time elapsed: 0.135 s
% 9.84/2.67 % (19243)Instructions burned: 408 (million)
% 9.84/2.67 % (19243)------------------------------
% 9.84/2.67 % (19243)------------------------------
% 9.84/2.68 % (19246)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_19042 for (2984ds/4350Mi)
% 10.47/2.71 % (19230)Instruction limit reached!
% 10.47/2.71 % (19230)------------------------------
% 10.47/2.71 % (19230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.47/2.71 % (19230)Termination reason: Unknown
% 10.47/2.71 % (19230)Termination phase: Saturation
% 10.47/2.71
% 10.47/2.71 % (19230)Memory used [KB]: 6524
% 10.47/2.71 % (19230)Time elapsed: 0.439 s
% 10.47/2.71 % (19230)Instructions burned: 923 (million)
% 10.47/2.71 % (19230)------------------------------
% 10.47/2.71 % (19230)------------------------------
% 10.47/2.72 % (19247)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_19042 for (2984ds/68Mi)
% 10.47/2.76 % (19247)Instruction limit reached!
% 10.47/2.76 % (19247)------------------------------
% 10.47/2.76 % (19247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.47/2.76 % (19247)Termination reason: Unknown
% 10.47/2.76 % (19247)Termination phase: Saturation
% 10.47/2.76
% 10.47/2.76 % (19247)Memory used [KB]: 5756
% 10.47/2.76 % (19247)Time elapsed: 0.035 s
% 10.47/2.76 % (19247)Instructions burned: 68 (million)
% 10.47/2.76 % (19247)------------------------------
% 10.47/2.76 % (19247)------------------------------
% 10.47/2.77 % (19248)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_19042 for (2983ds/358Mi)
% 10.95/2.82 % (19236)Instruction limit reached!
% 10.95/2.82 % (19236)------------------------------
% 10.95/2.82 % (19236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.95/2.82 % (19236)Termination reason: Unknown
% 10.95/2.82 % (19236)Termination phase: Saturation
% 10.95/2.82
% 10.95/2.82 % (19236)Memory used [KB]: 6908
% 10.95/2.82 % (19236)Time elapsed: 0.474 s
% 10.95/2.82 % (19236)Instructions burned: 1021 (million)
% 10.95/2.82 % (19236)------------------------------
% 10.95/2.82 % (19236)------------------------------
% 10.95/2.84 % (19249)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_19042 for (2983ds/31Mi)
% 10.95/2.86 % (19249)Instruction limit reached!
% 10.95/2.86 % (19249)------------------------------
% 10.95/2.86 % (19249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.95/2.86 % (19249)Termination reason: Unknown
% 10.95/2.86 % (19249)Termination phase: Saturation
% 10.95/2.86
% 10.95/2.86 % (19249)Memory used [KB]: 5628
% 10.95/2.86 % (19249)Time elapsed: 0.017 s
% 10.95/2.86 % (19249)Instructions burned: 31 (million)
% 10.95/2.86 % (19249)------------------------------
% 10.95/2.86 % (19249)------------------------------
% 10.95/2.88 % (19250)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_19042 for (2982ds/279Mi)
% 11.47/2.92 % (19248)Instruction limit reached!
% 11.47/2.92 % (19248)------------------------------
% 11.47/2.92 % (19248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.47/2.92 % (19248)Termination reason: Unknown
% 11.47/2.92 % (19248)Termination phase: Saturation
% 11.47/2.92
% 11.47/2.92 % (19248)Memory used [KB]: 6140
% 11.47/2.92 % (19248)Time elapsed: 0.151 s
% 11.47/2.92 % (19248)Instructions burned: 358 (million)
% 11.47/2.92 % (19248)------------------------------
% 11.47/2.92 % (19248)------------------------------
% 11.47/2.93 % (19251)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_19042 for (2982ds/258Mi)
% 11.47/3.00 % (19251)Refutation not found, non-redundant clauses discarded% (19251)------------------------------
% 11.47/3.00 % (19251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.47/3.00 % (19251)Termination reason: Refutation not found, non-redundant clauses discarded
% 11.47/3.00
% 11.47/3.00 % (19251)Memory used [KB]: 6012
% 11.47/3.00 % (19251)Time elapsed: 0.069 s
% 11.47/3.00 % (19251)Instructions burned: 205 (million)
% 11.47/3.00 % (19251)------------------------------
% 11.47/3.00 % (19251)------------------------------
% 11.47/3.02 % (19250)Instruction limit reached!
% 11.47/3.02 % (19250)------------------------------
% 11.47/3.02 % (19250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.47/3.02 % (19250)Termination reason: Unknown
% 11.47/3.02 % (19250)Termination phase: Saturation
% 11.47/3.02
% 11.47/3.02 % (19250)Memory used [KB]: 6396
% 11.47/3.02 % (19250)Time elapsed: 0.159 s
% 11.47/3.02 % (19250)Instructions burned: 280 (million)
% 11.47/3.02 % (19250)------------------------------
% 11.47/3.02 % (19250)------------------------------
% 11.47/3.02 % (19255)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_19042 for (2981ds/26Mi)
% 14.16/3.03 % (19255)Instruction limit reached!
% 14.16/3.03 % (19255)------------------------------
% 14.16/3.03 % (19255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.16/3.03 % (19255)Termination reason: Unknown
% 14.16/3.03 % (19255)Termination phase: Saturation
% 14.16/3.03
% 14.16/3.03 % (19255)Memory used [KB]: 5500
% 14.16/3.03 % (19255)Time elapsed: 0.033 s
% 14.16/3.03 % (19255)Instructions burned: 26 (million)
% 14.16/3.03 % (19255)------------------------------
% 14.16/3.03 % (19255)------------------------------
% 14.16/3.03 % (19256)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_19042 for (2981ds/995Mi)
% 14.16/3.04 % (19257)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_19042 for (2981ds/373Mi)
% 14.70/3.14 % (19256)First to succeed.
% 14.70/3.15 % (19256)Refutation found. Thanks to Tanya!
% 14.70/3.15 % SZS status Theorem for DTF2THF_19042
% 14.70/3.15 % SZS output start Proof for DTF2THF_19042
% 14.70/3.15 thf(type_def_5, type, a: $tType).
% 14.70/3.15 thf(func_def_0, type, a: $tType).
% 14.70/3.15 thf(func_def_17, type, ph1: !>[X0: $tType]:(X0)).
% 14.70/3.15 thf(func_def_18, type, sK2: (a > $o) > $o).
% 14.70/3.15 thf(func_def_19, type, sK3: (a > $o) > a).
% 14.70/3.15 thf(func_def_20, type, sK4: a > a > $o).
% 14.70/3.15 thf(func_def_21, type, sK5: (a > a > $o) > a > $o).
% 14.70/3.15 thf(func_def_22, type, sK6: (a > a > $o) > a).
% 14.70/3.15 thf(func_def_23, type, sK7: (a > a > $o) > a).
% 14.70/3.15 thf(f779,plain,(
% 14.70/3.15 $false),
% 14.70/3.15 inference(avatar_sat_refutation,[status(thm)],[f151,f303,f408,f473,f626,f629,f777])).
% 14.70/3.15 thf(f777,plain,(
% 14.70/3.15 spl0_5 | ~spl0_4 | ~spl0_7 | spl0_16),
% 14.70/3.15 inference(avatar_split_clause,[status(thm)],[f776,f435,f201,f146,f149])).
% 14.70/3.15 thf(f149,definition,(
% 14.70/3.15 spl0_5 <=> ! [X1 : a] : ((sK5 @ sK4 @ X1) = $false)),
% 14.70/3.15 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 14.70/3.15 thf(f146,definition,(
% 14.70/3.15 spl0_4 <=> ! [X0 : a > $o] : (($false = (sK2 @ X0)) | ((X0 @ (sK7 @ sK4)) != (sK5 @ sK4 @ (sK7 @ sK4))) | ($false = (X0 @ (sK6 @ sK4))))),
% 14.70/3.15 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 14.70/3.15 thf(f201,definition,(
% 14.70/3.15 spl0_7 <=> ($true = (sK5 @ sK4 @ (sK7 @ sK4)))),
% 14.70/3.15 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 14.70/3.15 thf(f435,definition,(
% 14.70/3.15 spl0_16 <=> ((sK2 @ (sK5 @ sK4)) = $false)),
% 14.70/3.15 introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition])).
% 14.70/3.15 thf(f776,plain,(
% 14.70/3.15 ( ! [X0 : a] : (((sK5 @ sK4 @ X0) = $false)) ) | (~spl0_4 | ~spl0_7 | spl0_16)),
% 14.70/3.15 inference(subsumption_resolution,[status(thm)],[f772,f436])).
% 14.70/3.15 thf(f436,plain,(
% 14.70/3.15 ((sK2 @ (sK5 @ sK4)) != $false) | spl0_16),
% 14.70/3.15 inference(avatar_component_clause,[status(thm)],[f435])).
% 14.70/3.15 thf(f772,plain,(
% 14.70/3.15 ( ! [X0 : a] : (((sK2 @ (sK5 @ sK4)) = $false) | ((sK5 @ sK4 @ X0) = $false)) ) | (~spl0_4 | ~spl0_7 | spl0_16)),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f769])).
% 14.70/3.15 thf(f769,plain,(
% 14.70/3.15 ( ! [X0 : a] : (((sK5 @ sK4 @ X0) = $false) | ($true = $false) | ((sK2 @ (sK5 @ sK4)) = $false)) ) | (~spl0_4 | ~spl0_7 | spl0_16)),
% 14.70/3.15 inference(superposition,[status(thm)],[f44,f711])).
% 14.70/3.15 thf(f711,plain,(
% 14.70/3.15 ($false = (sK5 @ sK4 @ (sK6 @ sK4))) | (~spl0_4 | ~spl0_7 | spl0_16)),
% 14.70/3.15 inference(subsumption_resolution,[status(thm)],[f707,f436])).
% 14.70/3.15 thf(f707,plain,(
% 14.70/3.15 ($false = (sK5 @ sK4 @ (sK6 @ sK4))) | ((sK2 @ (sK5 @ sK4)) = $false) | (~spl0_4 | ~spl0_7)),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f697])).
% 14.70/3.15 thf(f697,plain,(
% 14.70/3.15 ((sK2 @ (sK5 @ sK4)) = $false) | ($false = (sK5 @ sK4 @ (sK6 @ sK4))) | ($true != $true) | (~spl0_4 | ~spl0_7)),
% 14.70/3.15 inference(superposition,[status(thm)],[f638,f202])).
% 14.70/3.15 thf(f202,plain,(
% 14.70/3.15 ($true = (sK5 @ sK4 @ (sK7 @ sK4))) | ~spl0_7),
% 14.70/3.15 inference(avatar_component_clause,[status(thm)],[f201])).
% 14.70/3.15 thf(f638,plain,(
% 14.70/3.15 ( ! [X0 : a > $o] : (($true != (X0 @ (sK7 @ sK4))) | ($false = (sK2 @ X0)) | ($false = (X0 @ (sK6 @ sK4)))) ) | (~spl0_4 | ~spl0_7)),
% 14.70/3.15 inference(backward_demodulation,[status(thm)],[f147,f202])).
% 14.70/3.15 thf(f147,plain,(
% 14.70/3.15 ( ! [X0 : a > $o] : (($false = (X0 @ (sK6 @ sK4))) | ((X0 @ (sK7 @ sK4)) != (sK5 @ sK4 @ (sK7 @ sK4))) | ($false = (sK2 @ X0))) ) | ~spl0_4),
% 14.70/3.15 inference(avatar_component_clause,[status(thm)],[f146])).
% 14.70/3.15 thf(f44,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (($true = (sK5 @ X1 @ (sK6 @ X1))) | ($false = (sK2 @ (sK5 @ X1))) | ($false = (sK5 @ X1 @ X2))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f42])).
% 14.70/3.15 thf(f42,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (($false = (sK5 @ X1 @ X2)) | ($false = (sK2 @ (sK5 @ X1))) | (((sK5 @ X1 @ (sK6 @ X1)) => (!! @ a @ (^[Y0 : a]: ((X1 @ (sK6 @ X1) @ Y0) = (sK5 @ X1 @ Y0))))) = $false)) )),
% 14.70/3.15 inference(pi_clausification,[status(thm)],[f41])).
% 14.70/3.15 thf(f41,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (((?? @ a @ (sK5 @ X1)) = $false) | ($false = (sK2 @ (sK5 @ X1))) | (((sK5 @ X1 @ (sK6 @ X1)) => (!! @ a @ (^[Y0 : a]: ((X1 @ (sK6 @ X1) @ Y0) = (sK5 @ X1 @ Y0))))) = $false)) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f40])).
% 14.70/3.15 thf(f40,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (((?? @ a @ (sK5 @ X1)) = $false) | ($false = ((^[Y0 : a]: ((sK5 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((X1 @ Y0 @ Y1) = (sK5 @ X1 @ Y1)))))) @ (sK6 @ X1))) | ($false = (sK2 @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(sigma_clausification,[status(thm)],[f39])).
% 14.70/3.15 thf(f39,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (($false = (sK2 @ (sK5 @ X1))) | ((!! @ a @ (^[Y0 : a]: ((sK5 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((X1 @ Y0 @ Y1) = (sK5 @ X1 @ Y1))))))) = $false) | ((?? @ a @ (sK5 @ X1)) = $false)) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 14.70/3.15 thf(f38,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (($false = ((?? @ a @ (sK5 @ X1)) & (!! @ a @ (^[Y0 : a]: ((sK5 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((X1 @ Y0 @ Y1) = (sK5 @ X1 @ Y1))))))))) | ($false = (sK2 @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f36])).
% 14.70/3.15 thf(f36,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : ((((?? @ a @ (sK5 @ X1)) & (!! @ a @ (^[Y0 : a]: ((sK5 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((X1 @ Y0 @ Y1) = (sK5 @ X1 @ Y1)))))))) != (sK2 @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f35])).
% 14.70/3.15 thf(f35,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : ((((^[Y0 : a > $o]: ((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((X1 @ Y1 @ Y2) = (Y0 @ Y2))))))))) @ (sK5 @ X1)) != (sK2 @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(negative_extensionality,[status(thm)],[f34])).
% 14.70/3.15 thf(f34,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (((^[Y0 : a > $o]: ((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((X1 @ Y1 @ Y2) = (Y0 @ Y2))))))))) != sK2)) )),
% 14.70/3.15 inference(equality_proxy_clausification,[status(thm)],[f33])).
% 14.70/3.15 thf(f33,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (((sK2 = (^[Y0 : a > $o]: ((?? @ a @ Y0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (!! @ a @ (^[Y2 : a]: ((X1 @ Y1 @ Y2) = (Y0 @ Y2)))))))))) = $false)) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f32])).
% 14.70/3.15 thf(f32,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : ((((^[Y0 : a > a > $o]: (sK2 = (^[Y1 : a > $o]: ((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y0 @ Y2 @ Y3) = (Y1 @ Y3))))))))))) @ X1) = $false)) )),
% 14.70/3.15 inference(pi_clausification,[status(thm)],[f11])).
% 14.70/3.15 thf(f11,plain,(
% 14.70/3.15 ($false = (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (sK2 = (^[Y1 : a > $o]: ((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y0 @ Y2 @ Y3) = (Y1 @ Y3)))))))))))))),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f10])).
% 14.70/3.15 thf(f10,plain,(
% 14.70/3.15 ((((!! @ (a > $o) @ (^[Y0 : a > $o]: ((sK2 @ Y0) => (?? @ a @ Y0)))) & (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) => (Y1 = Y2))))) & (sK2 @ Y1))))))) => (?? @ (a > a > $o) @ (^[Y0 : a > a > $o]: (sK2 = (^[Y1 : a > $o]: ((?? @ a @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (!! @ a @ (^[Y3 : a]: ((Y0 @ Y2 @ Y3) = (Y1 @ Y3))))))))))))) = $false)),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f9])).
% 14.70/3.15 thf(f9,plain,(
% 14.70/3.15 ($false = ((^[Y0 : (a > $o) > $o]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ Y1)))) & (!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (Y0 @ Y3)) => (Y2 = Y3))))) & (Y0 @ Y2))))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y1 @ Y3 @ Y4) = (Y2 @ Y4)))))))))))))) @ sK2))),
% 14.70/3.15 inference(sigma_clausification,[status(thm)],[f8])).
% 14.70/3.15 thf(f8,plain,(
% 14.70/3.15 ($false = (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ Y1)))) & (!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (Y0 @ Y3)) => (Y2 = Y3))))) & (Y0 @ Y2))))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y1 @ Y3 @ Y4) = (Y2 @ Y4))))))))))))))))),
% 14.70/3.15 inference(not_proxy_clausification,[status(thm)],[f7])).
% 14.70/3.15 thf(f7,plain,(
% 14.70/3.15 ((~ (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ Y1)))) & (!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (Y0 @ Y3)) => (Y2 = Y3))))) & (Y0 @ Y2))))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y1 @ Y3 @ Y4) = (Y2 @ Y4)))))))))))))))) = $true)),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f6])).
% 14.70/3.15 thf(f6,plain,(
% 14.70/3.15 ($true = (~ (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ (^[Y2 : a]: (Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (Y0 @ Y3)) => (Y2 = Y3))))) & (Y0 @ Y2))))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: (Y2 @ Y3))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y1 @ Y3 @ Y4) = (Y2 @ Y4)))))))))))))))))),
% 14.70/3.15 inference(cnf_transformation,[status(thm)],[f5])).
% 14.70/3.15 thf(f5,plain,(
% 14.70/3.15 ($true = (~ (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) => (?? @ a @ (^[Y2 : a]: (Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (Y0 @ Y3)) => (Y2 = Y3))))) & (Y0 @ Y2))))))) => (?? @ (a > a > $o) @ (^[Y1 : a > a > $o]: (Y0 = (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: (Y2 @ Y3))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (!! @ a @ (^[Y4 : a]: ((Y1 @ Y3 @ Y4) = (Y2 @ Y4)))))))))))))))))),
% 14.70/3.15 inference(fool_elimination,[status(thm)],[f4])).
% 14.70/3.15 thf(f4,plain,(
% 14.70/3.15 ~! [X0 : (a > $o) > $o] : ((! [X1 : a] : ? [X2 : a > $o] : ((X0 @ X2) & ! [X3 : a > $o] : (((X0 @ X3) & (X3 @ X1)) => (X2 = X3)) & (X2 @ X1)) & ! [X4 : a > $o] : ((X0 @ X4) => ? [X5 : a] : (X4 @ X5))) => ? [X6 : a > a > $o] : (X0 = (^[X7 : a > $o] : (! [X8 : a] : ((X7 @ X8) => ! [X9 : a] : ((X6 @ X8 @ X9) <=> (X7 @ X9))) & ? [X10 : a] : (X7 @ X10)))))),
% 14.70/3.15 inference(rectify,[status(thm)],[f2])).
% 14.70/3.15 thf(f2,negated_conjecture,(
% 14.70/3.15 ~! [X0 : (a > $o) > $o] : ((! [X3 : a] : ? [X1 : a > $o] : ((X0 @ X1) & ! [X4 : a > $o] : (((X0 @ X4) & (X4 @ X3)) => (X1 = X4)) & (X1 @ X3)) & ! [X1 : a > $o] : ((X0 @ X1) => ? [X2 : a] : (X1 @ X2))) => ? [X5 : a > a > $o] : (X0 = (^[X6 : a > $o] : (! [X3 : a] : ((X6 @ X3) => ! [X7 : a] : ((X5 @ X3 @ X7) <=> (X6 @ X7))) & ? [X2 : a] : (X6 @ X2)))))),
% 14.70/3.15 inference(negated_conjecture,[status(cth)],[f1])).
% 14.70/3.15 thf(f1,conjecture,(
% 14.70/3.15 ! [X0 : (a > $o) > $o] : ((! [X3 : a] : ? [X1 : a > $o] : ((X0 @ X1) & ! [X4 : a > $o] : (((X0 @ X4) & (X4 @ X3)) => (X1 = X4)) & (X1 @ X3)) & ! [X1 : a > $o] : ((X0 @ X1) => ? [X2 : a] : (X1 @ X2))) => ? [X5 : a > a > $o] : (X0 = (^[X6 : a > $o] : (! [X3 : a] : ((X6 @ X3) => ! [X7 : a] : ((X5 @ X3 @ X7) <=> (X6 @ X7))) & ? [X2 : a] : (X6 @ X2)))))),
% 14.70/3.15 file('/export/starexec/sandbox/tmp/tmp.m1Htu4nRZs/DTF2THF_19042.p',cTHM262A_pme)).
% 14.70/3.15 thf(f629,plain,(
% 14.70/3.15 ~spl0_1 | ~spl0_16),
% 14.70/3.15 inference(avatar_contradiction_clause,[status(thm)],[f628])).
% 14.70/3.15 thf(f628,plain,(
% 14.70/3.15 $false | (~spl0_1 | ~spl0_16)),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f627])).
% 14.70/3.15 thf(f627,plain,(
% 14.70/3.15 ($true = $false) | (~spl0_1 | ~spl0_16)),
% 14.70/3.15 inference(backward_demodulation,[status(thm)],[f119,f437])).
% 14.70/3.15 thf(f437,plain,(
% 14.70/3.15 ((sK2 @ (sK5 @ sK4)) = $false) | ~spl0_16),
% 14.70/3.15 inference(avatar_component_clause,[status(thm)],[f435])).
% 14.70/3.15 thf(f119,plain,(
% 14.70/3.15 ($true = (sK2 @ (sK5 @ sK4))) | ~spl0_1),
% 14.70/3.15 inference(avatar_component_clause,[status(thm)],[f117])).
% 14.70/3.15 thf(f117,definition,(
% 14.70/3.15 spl0_1 <=> ($true = (sK2 @ (sK5 @ sK4)))),
% 14.70/3.15 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 14.70/3.15 thf(f626,plain,(
% 14.70/3.15 spl0_16 | spl0_5 | ~spl0_1 | ~spl0_4 | ~spl0_9),
% 14.70/3.15 inference(avatar_split_clause,[status(thm)],[f623,f275,f146,f117,f149,f435])).
% 14.70/3.15 thf(f275,definition,(
% 14.70/3.15 spl0_9 <=> ($false = (sK5 @ sK4 @ (sK7 @ sK4)))),
% 14.70/3.15 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 14.70/3.15 thf(f623,plain,(
% 14.70/3.15 ( ! [X0 : a] : (((sK2 @ (sK5 @ sK4)) = $false) | ((sK5 @ sK4 @ X0) = $false)) ) | (~spl0_1 | ~spl0_4 | ~spl0_9)),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f617])).
% 14.70/3.15 thf(f617,plain,(
% 14.70/3.15 ( ! [X0 : a] : (((sK5 @ sK4 @ X0) = $false) | ($true = $false) | ((sK2 @ (sK5 @ sK4)) = $false)) ) | (~spl0_1 | ~spl0_4 | ~spl0_9)),
% 14.70/3.15 inference(superposition,[status(thm)],[f616,f44])).
% 14.70/3.15 thf(f616,plain,(
% 14.70/3.15 ($false = (sK5 @ sK4 @ (sK6 @ sK4))) | (~spl0_1 | ~spl0_4 | ~spl0_9)),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f615])).
% 14.70/3.15 thf(f615,plain,(
% 14.70/3.15 ($false = (sK5 @ sK4 @ (sK6 @ sK4))) | ($true = $false) | (~spl0_1 | ~spl0_4 | ~spl0_9)),
% 14.70/3.15 inference(forward_demodulation,[status(thm)],[f606,f119])).
% 14.70/3.15 thf(f606,plain,(
% 14.70/3.15 ($false = (sK5 @ sK4 @ (sK6 @ sK4))) | ((sK2 @ (sK5 @ sK4)) = $false) | (~spl0_4 | ~spl0_9)),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f597])).
% 14.70/3.15 thf(f597,plain,(
% 14.70/3.15 ($false = (sK5 @ sK4 @ (sK6 @ sK4))) | ((sK2 @ (sK5 @ sK4)) = $false) | ($false != $false) | (~spl0_4 | ~spl0_9)),
% 14.70/3.15 inference(superposition,[status(thm)],[f489,f276])).
% 14.70/3.15 thf(f276,plain,(
% 14.70/3.15 ($false = (sK5 @ sK4 @ (sK7 @ sK4))) | ~spl0_9),
% 14.70/3.15 inference(avatar_component_clause,[status(thm)],[f275])).
% 14.70/3.15 thf(f489,plain,(
% 14.70/3.15 ( ! [X0 : a > $o] : (($false != (X0 @ (sK7 @ sK4))) | ($false = (sK2 @ X0)) | ($false = (X0 @ (sK6 @ sK4)))) ) | (~spl0_4 | ~spl0_9)),
% 14.70/3.15 inference(backward_demodulation,[status(thm)],[f147,f276])).
% 14.70/3.15 thf(f473,plain,(
% 14.70/3.15 spl0_5 | spl0_1),
% 14.70/3.15 inference(avatar_split_clause,[status(thm)],[f214,f117,f149])).
% 14.70/3.15 thf(f214,plain,(
% 14.70/3.15 ( ! [X0 : a] : (($true = (sK2 @ (sK5 @ sK4))) | ((sK5 @ sK4 @ X0) = $false)) )),
% 14.70/3.15 inference(duplicate_literal_removal,[status(thm)],[f211])).
% 14.70/3.15 thf(f211,plain,(
% 14.70/3.15 ( ! [X0 : a] : (($true = (sK2 @ (sK5 @ sK4))) | ($true = (sK2 @ (sK5 @ sK4))) | ((sK5 @ sK4 @ X0) = $false)) )),
% 14.70/3.15 inference(superposition,[status(thm)],[f23,f93])).
% 14.70/3.15 thf(f93,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (((sK5 @ X1) = (X1 @ X2)) | ($false = (sK5 @ X1 @ X2)) | ($true = (sK2 @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(negative_extensionality,[status(thm)],[f56])).
% 14.70/3.15 thf(f56,plain,(
% 14.70/3.15 ( ! [X2 : a,X3 : a,X1 : a > a > $o] : (((X1 @ X2 @ X3) = (sK5 @ X1 @ X3)) | ($true = (sK2 @ (sK5 @ X1))) | ($false = (sK5 @ X1 @ X2))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f55])).
% 14.70/3.15 thf(f55,plain,(
% 14.70/3.15 ( ! [X2 : a,X3 : a,X1 : a > a > $o] : (($false = (sK5 @ X1 @ X2)) | ($true = (sK2 @ (sK5 @ X1))) | (((X1 @ X2 @ X3) = (sK5 @ X1 @ X3)) = $true)) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f54])).
% 14.70/3.15 thf(f54,plain,(
% 14.70/3.15 ( ! [X2 : a,X3 : a,X1 : a > a > $o] : (($true = ((^[Y0 : a]: ((X1 @ X2 @ Y0) = (sK5 @ X1 @ Y0))) @ X3)) | ($true = (sK2 @ (sK5 @ X1))) | ($false = (sK5 @ X1 @ X2))) )),
% 14.70/3.15 inference(pi_clausification,[status(thm)],[f53])).
% 14.70/3.15 thf(f53,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (($false = (sK5 @ X1 @ X2)) | ($true = (!! @ a @ (^[Y0 : a]: ((X1 @ X2 @ Y0) = (sK5 @ X1 @ Y0))))) | ($true = (sK2 @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f52])).
% 14.70/3.15 thf(f52,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (($true = ((sK5 @ X1 @ X2) => (!! @ a @ (^[Y0 : a]: ((X1 @ X2 @ Y0) = (sK5 @ X1 @ Y0)))))) | ($true = (sK2 @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f51])).
% 14.70/3.15 thf(f51,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (($true = (sK2 @ (sK5 @ X1))) | ($true = ((^[Y0 : a]: ((sK5 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((X1 @ Y0 @ Y1) = (sK5 @ X1 @ Y1)))))) @ X2))) )),
% 14.70/3.15 inference(pi_clausification,[status(thm)],[f48])).
% 14.70/3.15 thf(f48,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (($true = (sK2 @ (sK5 @ X1))) | ($true = (!! @ a @ (^[Y0 : a]: ((sK5 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((X1 @ Y0 @ Y1) = (sK5 @ X1 @ Y1))))))))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 14.70/3.15 thf(f37,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (($true = ((?? @ a @ (sK5 @ X1)) & (!! @ a @ (^[Y0 : a]: ((sK5 @ X1 @ Y0) => (!! @ a @ (^[Y1 : a]: ((X1 @ Y0 @ Y1) = (sK5 @ X1 @ Y1))))))))) | ($true = (sK2 @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f36])).
% 14.70/3.15 thf(f23,plain,(
% 14.70/3.15 ( ! [X1 : a] : (((sK2 @ (sK4 @ X1)) = $true)) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 14.70/3.15 thf(f22,plain,(
% 14.70/3.15 ( ! [X1 : a] : (($true = (((sK4 @ X1 @ X1) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (sK2 @ Y0)) => ((sK4 @ X1) = Y0))))) & (sK2 @ (sK4 @ X1))))) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f21])).
% 14.70/3.15 thf(f21,plain,(
% 14.70/3.15 ( ! [X1 : a] : (($true = ((^[Y0 : a > $o]: (((Y0 @ X1) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (sK2 @ Y1)) => (Y0 = Y1))))) & (sK2 @ Y0))) @ (sK4 @ X1)))) )),
% 14.70/3.15 inference(sigma_clausification,[status(thm)],[f20])).
% 14.70/3.15 thf(f20,plain,(
% 14.70/3.15 ( ! [X1 : a] : (($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (sK2 @ Y1)) => (Y0 = Y1))))) & (sK2 @ Y0)))))) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f19])).
% 14.70/3.15 thf(f19,plain,(
% 14.70/3.15 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) => (Y1 = Y2))))) & (sK2 @ Y1))))) @ X1))) )),
% 14.70/3.15 inference(pi_clausification,[status(thm)],[f13])).
% 14.70/3.15 thf(f13,plain,(
% 14.70/3.15 ($true = (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) => (Y1 = Y2))))) & (sK2 @ Y1)))))))),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f12])).
% 14.70/3.15 thf(f12,plain,(
% 14.70/3.15 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: ((sK2 @ Y0) => (?? @ a @ Y0)))) & (!! @ a @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) => (Y1 = Y2))))) & (sK2 @ Y1))))))))),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f10])).
% 14.70/3.15 thf(f408,plain,(
% 14.70/3.15 ~spl0_5),
% 14.70/3.15 inference(avatar_contradiction_clause,[status(thm)],[f407])).
% 14.70/3.15 thf(f407,plain,(
% 14.70/3.15 $false | ~spl0_5),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f406])).
% 14.70/3.15 thf(f406,plain,(
% 14.70/3.15 ($true = $false) | ~spl0_5),
% 14.70/3.15 inference(forward_demodulation,[status(thm)],[f398,f401])).
% 14.70/3.15 thf(f401,plain,(
% 14.70/3.15 ((sK2 @ (sK5 @ sK4)) = $false) | ~spl0_5),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f389])).
% 14.70/3.15 thf(f389,plain,(
% 14.70/3.15 ((sK2 @ (sK5 @ sK4)) = $false) | ($true = $false) | ~spl0_5),
% 14.70/3.15 inference(superposition,[status(thm)],[f18,f150])).
% 14.70/3.15 thf(f150,plain,(
% 14.70/3.15 ( ! [X1 : a] : (((sK5 @ sK4 @ X1) = $false)) ) | ~spl0_5),
% 14.70/3.15 inference(avatar_component_clause,[status(thm)],[f149])).
% 14.70/3.15 thf(f18,plain,(
% 14.70/3.15 ( ! [X1 : a > $o] : (($true = (X1 @ (sK3 @ X1))) | ($false = (sK2 @ X1))) )),
% 14.70/3.15 inference(sigma_clausification,[status(thm)],[f17])).
% 14.70/3.15 thf(f17,plain,(
% 14.70/3.15 ( ! [X1 : a > $o] : (($true = (?? @ a @ X1)) | ($false = (sK2 @ X1))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f16])).
% 14.70/3.15 thf(f16,plain,(
% 14.70/3.15 ( ! [X1 : a > $o] : (($true = ((sK2 @ X1) => (?? @ a @ X1)))) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f15])).
% 14.70/3.15 thf(f15,plain,(
% 14.70/3.15 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: ((sK2 @ Y0) => (?? @ a @ Y0))) @ X1))) )),
% 14.70/3.15 inference(pi_clausification,[status(thm)],[f14])).
% 14.70/3.15 thf(f14,plain,(
% 14.70/3.15 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((sK2 @ Y0) => (?? @ a @ Y0)))))),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f12])).
% 14.70/3.15 thf(f398,plain,(
% 14.70/3.15 ($true = (sK2 @ (sK5 @ sK4))) | ~spl0_5),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f386])).
% 14.70/3.15 thf(f386,plain,(
% 14.70/3.15 ($true = (sK2 @ (sK5 @ sK4))) | ($true = $false) | ~spl0_5),
% 14.70/3.15 inference(superposition,[status(thm)],[f50,f150])).
% 14.70/3.15 thf(f50,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (($true = (sK5 @ X1 @ (sK3 @ (sK5 @ X1)))) | ($true = (sK2 @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(sigma_clausification,[status(thm)],[f49])).
% 14.70/3.15 thf(f49,plain,(
% 14.70/3.15 ( ! [X1 : a > a > $o] : (($true = (sK2 @ (sK5 @ X1))) | ($true = (?? @ a @ (sK5 @ X1)))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 14.70/3.15 thf(f303,plain,(
% 14.70/3.15 ~spl0_1 | spl0_7 | spl0_9),
% 14.70/3.15 inference(avatar_contradiction_clause,[status(thm)],[f302])).
% 14.70/3.15 thf(f302,plain,(
% 14.70/3.15 $false | (~spl0_1 | spl0_7 | spl0_9)),
% 14.70/3.15 inference(subsumption_resolution,[status(thm)],[f300,f277])).
% 14.70/3.15 thf(f277,plain,(
% 14.70/3.15 ($false != (sK5 @ sK4 @ (sK7 @ sK4))) | spl0_9),
% 14.70/3.15 inference(avatar_component_clause,[status(thm)],[f275])).
% 14.70/3.15 thf(f300,plain,(
% 14.70/3.15 ($false = (sK5 @ sK4 @ (sK7 @ sK4))) | (~spl0_1 | spl0_7)),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f293])).
% 14.70/3.15 thf(f293,plain,(
% 14.70/3.15 ($false = (sK5 @ sK4 @ (sK7 @ sK4))) | ($true != $true) | (~spl0_1 | spl0_7)),
% 14.70/3.15 inference(superposition,[status(thm)],[f218,f26])).
% 14.70/3.15 thf(f26,plain,(
% 14.70/3.15 ( ! [X1 : a] : (((sK4 @ X1 @ X1) = $true)) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f24])).
% 14.70/3.15 thf(f24,plain,(
% 14.70/3.15 ( ! [X1 : a] : ((((sK4 @ X1 @ X1) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (sK2 @ Y0)) => ((sK4 @ X1) = Y0))))) = $true)) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 14.70/3.15 thf(f218,plain,(
% 14.70/3.15 ( ! [X0 : a] : (($true != (sK4 @ X0 @ (sK7 @ sK4))) | ((sK5 @ sK4 @ X0) = $false)) ) | (~spl0_1 | spl0_7)),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f217])).
% 14.70/3.15 thf(f217,plain,(
% 14.70/3.15 ( ! [X0 : a] : (((sK5 @ sK4 @ X0) = $false) | ($true = $false) | ($true != (sK4 @ X0 @ (sK7 @ sK4)))) ) | (~spl0_1 | spl0_7)),
% 14.70/3.15 inference(forward_demodulation,[status(thm)],[f216,f119])).
% 14.70/3.15 thf(f216,plain,(
% 14.70/3.15 ( ! [X0 : a] : (((sK5 @ sK4 @ X0) = $false) | ($true != (sK4 @ X0 @ (sK7 @ sK4))) | ((sK2 @ (sK5 @ sK4)) = $false)) ) | spl0_7),
% 14.70/3.15 inference(superposition,[status(thm)],[f203,f57])).
% 14.70/3.15 thf(f57,plain,(
% 14.70/3.15 ( ! [X2 : a > $o,X3 : a,X1 : a] : (((sK4 @ X1 @ X3) = (X2 @ X3)) | ($false = (X2 @ X1)) | ($false = (sK2 @ X2))) )),
% 14.70/3.15 inference(argument_congruence,[status(thm)],[f31])).
% 14.70/3.15 thf(f31,plain,(
% 14.70/3.15 ( ! [X2 : a > $o,X1 : a] : (((sK4 @ X1) = X2) | ($false = (X2 @ X1)) | ($false = (sK2 @ X2))) )),
% 14.70/3.15 inference(equality_proxy_clausification,[status(thm)],[f30])).
% 14.70/3.15 thf(f30,plain,(
% 14.70/3.15 ( ! [X2 : a > $o,X1 : a] : (($false = (sK2 @ X2)) | ($false = (X2 @ X1)) | (((sK4 @ X1) = X2) = $true)) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f29])).
% 14.70/3.15 thf(f29,plain,(
% 14.70/3.15 ( ! [X2 : a > $o,X1 : a] : (($false = ((X2 @ X1) & (sK2 @ X2))) | (((sK4 @ X1) = X2) = $true)) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f28])).
% 14.70/3.15 thf(f28,plain,(
% 14.70/3.15 ( ! [X2 : a > $o,X1 : a] : (($true = (((X2 @ X1) & (sK2 @ X2)) => ((sK4 @ X1) = X2)))) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f27])).
% 14.70/3.15 thf(f27,plain,(
% 14.70/3.15 ( ! [X2 : a > $o,X1 : a] : (($true = ((^[Y0 : a > $o]: (((Y0 @ X1) & (sK2 @ Y0)) => ((sK4 @ X1) = Y0))) @ X2))) )),
% 14.70/3.15 inference(pi_clausification,[status(thm)],[f25])).
% 14.70/3.15 thf(f25,plain,(
% 14.70/3.15 ( ! [X1 : a] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (sK2 @ Y0)) => ((sK4 @ X1) = Y0)))))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f24])).
% 14.70/3.15 thf(f203,plain,(
% 14.70/3.15 ($true != (sK5 @ sK4 @ (sK7 @ sK4))) | spl0_7),
% 14.70/3.15 inference(avatar_component_clause,[status(thm)],[f201])).
% 14.70/3.15 thf(f151,plain,(
% 14.70/3.15 spl0_4 | spl0_5 | ~spl0_1),
% 14.70/3.15 inference(avatar_split_clause,[status(thm)],[f144,f117,f149,f146])).
% 14.70/3.15 thf(f144,plain,(
% 14.70/3.15 ( ! [X0 : a > $o,X1 : a] : (((sK5 @ sK4 @ X1) = $false) | ($false = (sK2 @ X0)) | ($false = (X0 @ (sK6 @ sK4))) | ((X0 @ (sK7 @ sK4)) != (sK5 @ sK4 @ (sK7 @ sK4)))) ) | ~spl0_1),
% 14.70/3.15 inference(trivial_inequality_removal,[status(thm)],[f143])).
% 14.70/3.15 thf(f143,plain,(
% 14.70/3.15 ( ! [X0 : a > $o,X1 : a] : (($true = $false) | ((sK5 @ sK4 @ X1) = $false) | ($false = (sK2 @ X0)) | ((X0 @ (sK7 @ sK4)) != (sK5 @ sK4 @ (sK7 @ sK4))) | ($false = (X0 @ (sK6 @ sK4)))) ) | ~spl0_1),
% 14.70/3.15 inference(forward_demodulation,[status(thm)],[f139,f119])).
% 14.70/3.15 thf(f139,plain,(
% 14.70/3.15 ( ! [X0 : a > $o,X1 : a] : (((sK5 @ sK4 @ X1) = $false) | ((sK2 @ (sK5 @ sK4)) = $false) | ($false = (X0 @ (sK6 @ sK4))) | ($false = (sK2 @ X0)) | ((X0 @ (sK7 @ sK4)) != (sK5 @ sK4 @ (sK7 @ sK4)))) )),
% 14.70/3.15 inference(superposition,[status(thm)],[f47,f57])).
% 14.70/3.15 thf(f47,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (((X1 @ (sK6 @ X1) @ (sK7 @ X1)) != (sK5 @ X1 @ (sK7 @ X1))) | ($false = (sK2 @ (sK5 @ X1))) | ($false = (sK5 @ X1 @ X2))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f46])).
% 14.70/3.15 thf(f46,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (($false = (sK2 @ (sK5 @ X1))) | (((X1 @ (sK6 @ X1) @ (sK7 @ X1)) = (sK5 @ X1 @ (sK7 @ X1))) = $false) | ($false = (sK5 @ X1 @ X2))) )),
% 14.70/3.15 inference(beta_eta_normalization,[status(thm)],[f45])).
% 14.70/3.15 thf(f45,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (($false = ((^[Y0 : a]: ((X1 @ (sK6 @ X1) @ Y0) = (sK5 @ X1 @ Y0))) @ (sK7 @ X1))) | ($false = (sK2 @ (sK5 @ X1))) | ($false = (sK5 @ X1 @ X2))) )),
% 14.70/3.15 inference(sigma_clausification,[status(thm)],[f43])).
% 14.70/3.15 thf(f43,plain,(
% 14.70/3.15 ( ! [X2 : a,X1 : a > a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((X1 @ (sK6 @ X1) @ Y0) = (sK5 @ X1 @ Y0))))) | ($false = (sK2 @ (sK5 @ X1))) | ($false = (sK5 @ X1 @ X2))) )),
% 14.70/3.15 inference(binary_proxy_clausification,[status(thm)],[f42])).
% 14.70/3.15 % SZS output end Proof for DTF2THF_19042
% 14.70/3.15 % (19256)------------------------------
% 14.70/3.15 % (19256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.70/3.15 % (19256)Termination reason: Refutation
% 14.70/3.15
% 14.70/3.15 % (19256)Memory used [KB]: 6012
% 14.70/3.15 % (19256)Time elapsed: 0.112 s
% 14.70/3.15 % (19256)Instructions burned: 216 (million)
% 14.70/3.15 % (19256)------------------------------
% 14.70/3.15 % (19256)------------------------------
% 14.70/3.15 % (19140)Success in time 2.006 s
%------------------------------------------------------------------------------