%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO338^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 09:53:59 AM UTC 2026
% Result : Theorem 26.13s 4.93s
% Output : Refutation 26.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 3
% Syntax : Number of formulae : 96 ( 46 unt; 0 typ; 2 def)
% Number of atoms : 774 ( 122 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 3024 ( 241 ~; 324 |; 159 &;2049 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 220 ( 220 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 6 con; 0-2 aty)
% ( 67 !!; 182 ??; 0 @@+; 0 @@-)
% Number of variables : 437 ( 324 ^; 86 !; 27 ?; 437 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_16,type,
sK1: a > a > $o ).
thf(func_def_17,type,
sK2: ( a > $o ) > a ).
thf(func_def_18,type,
sK3: ( a > $o ) > a > a ).
thf(func_def_19,type,
sK4: a > a ).
thf(func_def_20,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f941,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f882,f921,f940]) ).
thf(f940,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[status(thm)],[f939]) ).
thf(f939,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[status(thm)],[f934,f813]) ).
thf(f813,plain,
( ( $false
!= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f812]) ).
thf(f812,definition,
( spl0_2
<=> ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f934,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f931]) ).
thf(f931,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ( $true = $false )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f65,f810]) ).
thf(f810,plain,
( ( $false
= ( sK1
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) )
@ ( sK4
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f808]) ).
thf(f808,definition,
( spl0_1
<=> ( $false
= ( sK1
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) )
@ ( sK4
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f65,plain,
! [X2: a,X1: a] :
( ( $true
= ( sK1 @ ( sK4 @ X1 ) @ ( sK4 @ X2 ) ) )
| ( $false
= ( sK1 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f64]) ).
thf(f64,plain,
! [X2: a,X1: a] :
( ( $false
= ( ~ ( sK1 @ ( sK4 @ X1 ) @ ( sK4 @ X2 ) ) ) )
| ( $false
= ( sK1 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f63]) ).
thf(f63,plain,
! [X2: a,X1: a] :
( ( ( sK1 @ X1 @ X2 )
& ~ ( sK1 @ ( sK4 @ X1 ) @ ( sK4 @ X2 ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f62]) ).
thf(f62,plain,
! [X2: a,X1: a] :
( $false
= ( ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
& ~ ( sK1 @ ( sK4 @ X1 ) @ ( sK4 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f61]) ).
thf(f61,plain,
! [X1: a] :
( ( ?? @ a
@ ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
& ~ ( sK1 @ ( sK4 @ X1 ) @ ( sK4 @ Y0 ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f60]) ).
thf(f60,plain,
! [X1: a] :
( $false
= ( ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
& ~ ( sK1 @ ( sK4 @ Y0 ) @ ( sK4 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f58]) ).
thf(f58,plain,
( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
& ~ ( sK1 @ ( sK4 @ Y0 ) @ ( sK4 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f57]) ).
thf(f57,plain,
( $false
= ( ( ?? @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
& ( sK1 @ ( sK4 @ Y0 ) @ Y0 ) ) )
| ( ?? @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
& ~ ( sK1 @ ( sK4 @ Y0 ) @ ( sK4 @ Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f56]) ).
thf(f56,plain,
( $false
= ( ^ [Y0: a > a] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ ( Y0 @ Y1 ) )
& ( sK1 @ ( Y0 @ Y1 ) @ Y1 ) ) )
| ( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
& ~ ( sK1 @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[status(thm)],[f45]) ).
thf(f45,plain,
( $false
= ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ ( Y0 @ Y1 ) )
& ( sK1 @ ( Y0 @ Y1 ) @ Y1 ) ) )
| ( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
& ~ ( sK1 @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
( $false
= ( ( ?? @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y0 @ Y1 )
& ~ ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y1 @ Y2 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ ( Y0 @ Y1 ) )
& ( sK1 @ ( Y0 @ Y1 ) @ Y1 ) ) )
| ( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
& ~ ( sK1 @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
( ( ( ?? @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y0 @ Y1 )
& ~ ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y1 @ Y2 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ ( Y0 @ Y1 ) )
& ( sK1 @ ( Y0 @ Y1 ) @ Y1 ) ) )
| ( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
& ~ ( sK1 @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ~ ( Y0 @ Y2 )
| ( sK1 @ Y2 @ Y1 )
| ~ ( Y0 @ Y2 )
| ( sK1 @ Y2 @ Y1 ) ) )
& ~ ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
| ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ~ ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f19]) ).
thf(f19,plain,
( $false
= ( ^ [Y0: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y2 )
& ~ ( sK1 @ Y1 @ Y3 )
& ( sK1 @ Y2 @ Y3 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y2 @ ( Y1 @ Y2 ) )
& ( sK1 @ ( Y1 @ Y2 ) @ Y2 ) ) )
| ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
& ~ ( sK1 @ ( Y1 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ~ ( Y1 @ Y3 )
| ( sK1 @ Y3 @ Y2 )
| ~ ( Y1 @ Y3 )
| ( sK1 @ Y3 @ Y2 ) ) )
& ~ ( sK1 @ ( Y0 @ Y1 ) @ Y2 ) ) )
| ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ~ ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( $false
= ( !! @ ( ( a > $o ) > a )
@ ^ [Y0: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y2 )
& ~ ( sK1 @ Y1 @ Y3 )
& ( sK1 @ Y2 @ Y3 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y2 @ ( Y1 @ Y2 ) )
& ( sK1 @ ( Y1 @ Y2 ) @ Y2 ) ) )
| ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
& ~ ( sK1 @ ( Y1 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ~ ( Y1 @ Y3 )
| ( sK1 @ Y3 @ Y2 )
| ~ ( Y1 @ Y3 )
| ( sK1 @ Y3 @ Y2 ) ) )
& ~ ( sK1 @ ( Y0 @ Y1 ) @ Y2 ) ) )
| ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ~ ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f17]) ).
thf(f17,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ Y3 )
& ~ ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y4 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
& ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
& ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ Y3 )
& ~ ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y4 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
& ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
& ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ Y3 )
& ~ ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y4 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
& ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
& ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f14]) ).
thf(f14,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ~ ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y4 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
& ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
& ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f13]) ).
thf(f13,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y2 @ Y4 )
| ~ ( Y0 @ Y2 @ Y4 ) )
& ( Y0 @ Y3 @ Y4 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
& ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
& ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f12]) ).
thf(f12,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y2 @ Y4 )
| ~ ( Y0 @ Y2 @ Y4 ) )
& ( Y0 @ Y3 @ Y4 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
| ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) )
& ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
& ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f11]) ).
thf(f11,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y2 @ Y4 )
| ~ ( Y0 @ Y2 @ Y4 ) )
& ( Y0 @ Y3 @ Y4 ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
| ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) )
& ( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
| ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
& ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f10]) ).
thf(f10,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y2 @ Y4 )
| ~ ( Y0 @ Y2 @ Y4 ) )
& ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
| ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) )
& ( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
| ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) )
& ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f9]) ).
thf(f9,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y2 @ Y4 )
| ~ ( Y0 @ Y2 @ Y4 ) )
& ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
| ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) )
& ( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
| ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) )
& ( ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) )
| ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f8]) ).
thf(f8,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y2 @ Y4 )
| ~ ( Y0 @ Y2 @ Y4 ) )
& ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
| ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) )
& ( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
| ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) )
& ( ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) )
| ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ( ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
| ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y2 @ Y4 )
| ~ ( Y0 @ Y2 @ Y4 ) )
& ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
| ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) )
& ( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
| ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) )
& ( ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) )
| ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ( ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
| ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y2 @ Y3 )
| ( Y2 @ Y3 ) )
& ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y2 @ Y4 )
| ~ ( Y0 @ Y2 @ Y4 ) )
& ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
| ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) )
& ( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
| ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) )
& ( ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) )
| ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ( ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
| ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y2 @ Y3 )
| ( Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) )
| ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ?? @ a
@ ^ [Y2: a] :
( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y3 )
| ( Y0 @ Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y2 @ Y4 )
| ~ ( Y0 @ Y2 @ Y4 ) )
& ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
| ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
| ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) )
& ( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
| ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ?? @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
| ( Y0 @ Y3 @ Y4 ) )
& ( ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) )
| ~ ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) )
| ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 )
| ~ ( Y2 @ Y4 )
| ( Y0 @ Y4 @ Y3 ) ) )
& ( ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
| ~ ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ) )
| ( ?? @ a
@ ^ [Y3: a] :
( ( ( Y2 @ Y3 )
| ( Y2 @ Y3 ) )
& ( ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) )
| ~ ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > $o ) > a,X1: a > a > $o] :
( ? [X2: a > $o] :
( ? [X3: a] :
( ( ~ ( X1 @ X3 @ ( X0 @ X2 ) )
| ~ ( X1 @ X3 @ ( X0 @ X2 ) ) )
& ( ( X2 @ X3 )
| ( X2 @ X3 ) ) )
| ? [X4: a] :
( ( ~ ( X1 @ ( X0 @ X2 ) @ X4 )
| ~ ( X1 @ ( X0 @ X2 ) @ X4 ) )
& ! [X5: a] :
( ( X1 @ X5 @ X4 )
| ~ ( X2 @ X5 )
| ( X1 @ X5 @ X4 )
| ~ ( X2 @ X5 ) ) ) )
| ! [X6: a > a] :
( ? [X7: a,X8: a] :
( ( ~ ( X1 @ ( X6 @ X8 ) @ ( X6 @ X7 ) )
| ~ ( X1 @ ( X6 @ X8 ) @ ( X6 @ X7 ) ) )
& ( ( X1 @ X8 @ X7 )
| ( X1 @ X8 @ X7 ) ) )
| ? [X9: a] :
( ( ( X1 @ ( X6 @ X9 ) @ X9 )
| ( X1 @ ( X6 @ X9 ) @ X9 ) )
& ( ( X1 @ X9 @ ( X6 @ X9 ) )
| ( X1 @ X9 @ ( X6 @ X9 ) ) ) ) )
| ? [X10: a,X11: a,X12: a] :
( ( ( X1 @ X11 @ X10 )
| ( X1 @ X11 @ X10 ) )
& ( ~ ( X1 @ X12 @ X10 )
| ~ ( X1 @ X12 @ X10 ) )
& ( ( X1 @ X12 @ X11 )
| ( X1 @ X12 @ X11 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: ( a > $o ) > a,X0: a > a > $o] :
( ? [X5: a > $o] :
( ? [X6: a] :
( ( ~ ( X0 @ X6 @ ( X1 @ X5 ) )
| ~ ( X0 @ X6 @ ( X1 @ X5 ) ) )
& ( ( X5 @ X6 )
| ( X5 @ X6 ) ) )
| ? [X7: a] :
( ( ~ ( X0 @ ( X1 @ X5 ) @ X7 )
| ~ ( X0 @ ( X1 @ X5 ) @ X7 ) )
& ! [X8: a] :
( ( X0 @ X8 @ X7 )
| ~ ( X5 @ X8 )
| ( X0 @ X8 @ X7 )
| ~ ( X5 @ X8 ) ) ) )
| ! [X9: a > a] :
( ? [X11: a,X10: a] :
( ( ~ ( X0 @ ( X9 @ X10 ) @ ( X9 @ X11 ) )
| ~ ( X0 @ ( X9 @ X10 ) @ ( X9 @ X11 ) ) )
& ( ( X0 @ X10 @ X11 )
| ( X0 @ X10 @ X11 ) ) )
| ? [X12: a] :
( ( ( X0 @ ( X9 @ X12 ) @ X12 )
| ( X0 @ ( X9 @ X12 ) @ X12 ) )
& ( ( X0 @ X12 @ ( X9 @ X12 ) )
| ( X0 @ X12 @ ( X9 @ X12 ) ) ) ) )
| ? [X4: a,X3: a,X2: a] :
( ( ( X0 @ X3 @ X4 )
| ( X0 @ X3 @ X4 ) )
& ( ~ ( X0 @ X2 @ X4 )
| ~ ( X0 @ X2 @ X4 ) )
& ( ( X0 @ X2 @ X3 )
| ( X0 @ X2 @ X3 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: ( a > $o ) > a,X0: a > a > $o] :
( ? [X5: a > $o] :
( ? [X6: a] :
( ( ~ ( X0 @ X6 @ ( X1 @ X5 ) )
| ~ ( X0 @ X6 @ ( X1 @ X5 ) ) )
& ( ( X5 @ X6 )
| ( X5 @ X6 ) ) )
| ? [X7: a] :
( ( ~ ( X0 @ ( X1 @ X5 ) @ X7 )
| ~ ( X0 @ ( X1 @ X5 ) @ X7 ) )
& ! [X8: a] :
( ( X0 @ X8 @ X7 )
| ~ ( X5 @ X8 )
| ( X0 @ X8 @ X7 )
| ~ ( X5 @ X8 ) ) ) )
| ! [X9: a > a] :
( ? [X11: a,X10: a] :
( ( ~ ( X0 @ ( X9 @ X10 ) @ ( X9 @ X11 ) )
| ~ ( X0 @ ( X9 @ X10 ) @ ( X9 @ X11 ) ) )
& ( ( X0 @ X10 @ X11 )
| ( X0 @ X10 @ X11 ) ) )
| ? [X12: a] :
( ( ( X0 @ ( X9 @ X12 ) @ X12 )
| ( X0 @ ( X9 @ X12 ) @ X12 ) )
& ( ( X0 @ X12 @ ( X9 @ X12 ) )
| ( X0 @ X12 @ ( X9 @ X12 ) ) ) ) )
| ? [X4: a,X3: a,X2: a] :
( ( ( X0 @ X3 @ X4 )
| ( X0 @ X3 @ X4 ) )
& ( ~ ( X0 @ X2 @ X4 )
| ~ ( X0 @ X2 @ X4 ) )
& ( ( X0 @ X2 @ X3 )
| ( X0 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.m9DYQkRnWt/DTF2THF_32658.p',cT145_DOUBLE) ).
thf(f921,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f920,f812,f808]) ).
thf(f920,plain,
( ( $false
= ( sK1
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) )
@ ( sK4
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f919]) ).
thf(f919,plain,
( ( $false
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f904]) ).
thf(f904,plain,
( ( $false != $false )
| ( $false
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| spl0_2 ),
inference(superposition,[status(thm)],[f813,f79]) ).
thf(f79,plain,
! [X0: a > $o] :
( ( $false
= ( sK1 @ ( sK2 @ X0 ) @ ( sK4 @ ( sK2 @ X0 ) ) ) )
| ( $false
= ( X0 @ ( sK4 @ ( sK2 @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f74]) ).
thf(f74,plain,
! [X0: a > $o] :
( ( $true = $false )
| ( $false
= ( sK1 @ ( sK2 @ X0 ) @ ( sK4 @ ( sK2 @ X0 ) ) ) )
| ( $false
= ( X0 @ ( sK4 @ ( sK2 @ X0 ) ) ) ) ),
inference(superposition,[status(thm)],[f68,f30]) ).
thf(f30,plain,
! [X2: a,X1: a > $o] :
( ( $true
= ( sK1 @ X2 @ ( sK2 @ X1 ) ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
! [X2: a,X1: a > $o] :
( ( ( X1 @ X2 )
= $false )
| ( $false
= ( ~ ( sK1 @ X2 @ ( sK2 @ X1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f28]) ).
thf(f28,plain,
! [X2: a,X1: a > $o] :
( $false
= ( ( X1 @ X2 )
& ~ ( sK1 @ X2 @ ( sK2 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f27]) ).
thf(f27,plain,
! [X2: a,X1: a > $o] :
( ( ^ [Y0: a] :
( ( X1 @ Y0 )
& ~ ( sK1 @ Y0 @ ( sK2 @ X1 ) ) )
@ X2 )
= $false ),
inference(pi_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
! [X1: a > $o] :
( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ~ ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f24]) ).
thf(f24,plain,
! [X1: a > $o] :
( $false
= ( ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ~ ( X1 @ Y1 )
| ( sK1 @ Y1 @ Y0 )
| ~ ( X1 @ Y1 )
| ( sK1 @ Y1 @ Y0 ) ) )
& ~ ( sK1 @ ( sK2 @ X1 ) @ Y0 ) ) )
| ( ?? @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ~ ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f23]) ).
thf(f23,plain,
! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ~ ( Y0 @ Y2 )
| ( sK1 @ Y2 @ Y1 )
| ~ ( Y0 @ Y2 )
| ( sK1 @ Y2 @ Y1 ) ) )
& ~ ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
| ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ~ ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f21]) ).
thf(f21,plain,
( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ~ ( Y0 @ Y2 )
| ( sK1 @ Y2 @ Y1 )
| ~ ( Y0 @ Y2 )
| ( sK1 @ Y2 @ Y1 ) ) )
& ~ ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
| ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ~ ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f20]) ).
thf(f68,plain,
! [X1: a] :
( ( $false
= ( sK1 @ ( sK4 @ X1 ) @ X1 ) )
| ( $false
= ( sK1 @ X1 @ ( sK4 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f67]) ).
thf(f67,plain,
! [X1: a] :
( $false
= ( ( sK1 @ X1 @ ( sK4 @ X1 ) )
& ( sK1 @ ( sK4 @ X1 ) @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f66]) ).
thf(f66,plain,
! [X1: a] :
( $false
= ( ^ [Y0: a] :
( ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
& ( sK1 @ ( sK4 @ Y0 ) @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f59]) ).
thf(f59,plain,
( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
& ( sK1 @ ( sK4 @ Y0 ) @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f57]) ).
thf(f882,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[status(thm)],[f881]) ).
thf(f881,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f867]) ).
thf(f867,plain,
( ( $true = $false )
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f823,f863]) ).
thf(f863,plain,
( ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK4
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f862]) ).
thf(f862,plain,
( ( $false
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f859]) ).
thf(f859,plain,
( ( $true = $false )
| ( $false
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f30,f852]) ).
thf(f852,plain,
( ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f848]) ).
thf(f848,plain,
( ( $false
= ( sK1
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
| ( $true = $false )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f840,f65]) ).
thf(f840,plain,
( ( ( sK1
@ ( sK4
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f839]) ).
thf(f839,plain,
( ( $true = $false )
| ( ( sK1
@ ( sK4
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f838,f814]) ).
thf(f814,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f812]) ).
thf(f838,plain,
( ( ( sK1
@ ( sK4
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false )
| ( $true
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f832]) ).
thf(f832,plain,
( ( $true = $false )
| ( ( sK1
@ ( sK4
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false )
| ( $true
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f823,f89]) ).
thf(f89,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( $false
= ( sK1 @ ( sK3 @ X0 @ X1 ) @ X2 ) )
| ( $false
= ( sK1 @ X2 @ X1 ) )
| ( $true
= ( sK1 @ ( sK2 @ X0 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f86]) ).
thf(f86,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( $false
= ( sK1 @ X2 @ X1 ) )
| ( $true = $false )
| ( $true
= ( sK1 @ ( sK2 @ X0 ) @ X1 ) )
| ( $false
= ( sK1 @ ( sK3 @ X0 @ X1 ) @ X2 ) ) ),
inference(superposition,[status(thm)],[f37,f55]) ).
thf(f55,plain,
! [X2: a,X3: a,X1: a] :
( ( $true
= ( sK1 @ X1 @ X3 ) )
| ( $false
= ( sK1 @ X1 @ X2 ) )
| ( ( sK1 @ X2 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: a,X3: a,X1: a] :
( ( ( sK1 @ X2 @ X3 )
= $false )
| ( $false
= ( ~ ( sK1 @ X1 @ X3 ) ) )
| ( $false
= ( sK1 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: a,X3: a,X1: a] :
( ( ( sK1 @ X2 @ X3 )
= $false )
| ( $false
= ( ( sK1 @ X1 @ X2 )
& ~ ( sK1 @ X1 @ X3 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f52]) ).
thf(f52,plain,
! [X2: a,X3: a,X1: a] :
( $false
= ( ( sK1 @ X1 @ X2 )
& ~ ( sK1 @ X1 @ X3 )
& ( sK1 @ X2 @ X3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f51]) ).
thf(f51,plain,
! [X2: a,X3: a,X1: a] :
( $false
= ( ^ [Y0: a] :
( ( sK1 @ X1 @ X2 )
& ~ ( sK1 @ X1 @ Y0 )
& ( sK1 @ X2 @ Y0 ) )
@ X3 ) ),
inference(pi_clausification,[status(thm)],[f50]) ).
thf(f50,plain,
! [X2: a,X1: a] :
( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( sK1 @ X1 @ X2 )
& ~ ( sK1 @ X1 @ Y0 )
& ( sK1 @ X2 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f49]) ).
thf(f49,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ X1 @ Y0 )
& ~ ( sK1 @ X1 @ Y1 )
& ( sK1 @ Y0 @ Y1 ) ) )
@ X2 )
= $false ),
inference(pi_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
! [X1: a] :
( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ X1 @ Y0 )
& ~ ( sK1 @ X1 @ Y1 )
& ( sK1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f47]) ).
thf(f47,plain,
! [X1: a] :
( $false
= ( ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y0 @ Y1 )
& ~ ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y1 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f46]) ).
thf(f46,plain,
( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ Y0 @ Y1 )
& ~ ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y1 @ Y2 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f37,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( sK1 @ ( sK3 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f36]) ).
thf(f36,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( ~ ( X1 @ ( sK3 @ X1 @ X2 ) )
| ( sK1 @ ( sK3 @ X1 @ X2 ) @ X2 )
| ~ ( X1 @ ( sK3 @ X1 @ X2 ) )
| ( sK1 @ ( sK3 @ X1 @ X2 ) @ X2 ) ) )
| ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( ~ ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) )
| ( $false
= ( ~ ( X1 @ ( sK3 @ X1 @ X2 ) )
| ( sK1 @ ( sK3 @ X1 @ X2 ) @ X2 )
| ~ ( X1 @ ( sK3 @ X1 @ X2 ) )
| ( sK1 @ ( sK3 @ X1 @ X2 ) @ X2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f34]) ).
thf(f34,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( ~ ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) )
| ( $false
= ( ^ [Y0: a] :
( ~ ( X1 @ Y0 )
| ( sK1 @ Y0 @ X2 )
| ~ ( X1 @ Y0 )
| ( sK1 @ Y0 @ X2 ) )
@ ( sK3 @ X1 @ X2 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ~ ( X1 @ Y0 )
| ( sK1 @ Y0 @ X2 )
| ~ ( X1 @ Y0 )
| ( sK1 @ Y0 @ X2 ) ) ) )
| ( $false
= ( ~ ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f32]) ).
thf(f32,plain,
! [X2: a,X1: a > $o] :
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ~ ( X1 @ Y0 )
| ( sK1 @ Y0 @ X2 )
| ~ ( X1 @ Y0 )
| ( sK1 @ Y0 @ X2 ) ) )
& ~ ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f31]) ).
thf(f31,plain,
! [X2: a,X1: a > $o] :
( ( ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ~ ( X1 @ Y1 )
| ( sK1 @ Y1 @ Y0 )
| ~ ( X1 @ Y1 )
| ( sK1 @ Y1 @ Y0 ) ) )
& ~ ( sK1 @ ( sK2 @ X1 ) @ Y0 ) )
@ X2 )
= $false ),
inference(pi_clausification,[status(thm)],[f26]) ).
thf(f26,plain,
! [X1: a > $o] :
( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ~ ( X1 @ Y1 )
| ( sK1 @ Y1 @ Y0 )
| ~ ( X1 @ Y1 )
| ( sK1 @ Y1 @ Y0 ) ) )
& ~ ( sK1 @ ( sK2 @ X1 ) @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f24]) ).
thf(f823,plain,
( ( $true
= ( sK1
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK4
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f822]) ).
thf(f822,plain,
( ( $true
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f817]) ).
thf(f817,plain,
( ( $true
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ( $true = $false )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f814,f44]) ).
thf(f44,plain,
! [X2: a,X1: a > $o] :
( ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) )
| ( $true
= ( X1 @ ( sK3 @ X1 @ X2 ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X2: a,X1: a > $o] :
( ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) )
| ( $false
= ( ~ ( X1 @ ( sK3 @ X1 @ X2 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( ~ ( X1 @ ( sK3 @ X1 @ X2 ) )
| ( sK1 @ ( sK3 @ X1 @ X2 ) @ X2 )
| ~ ( X1 @ ( sK3 @ X1 @ X2 ) ) ) )
| ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO338^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.32 % Computer : n017.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue Feb 24 14:26:56 EST 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.43 ---- Original DTF file ---
% 0.18/0.43 thf(spec,logic,$$dhol).
% 0.18/0.43 %------------------------------------------------------------------------------
% 0.18/0.43 % File : SYO338^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.43 % Domain : Syntactic
% 0.18/0.43 % Problem : TPS problem from BASIC-HO-THMS
% 0.18/0.43 % Version : Especial.
% 0.18/0.43 % English :
% 0.18/0.43
% 0.18/0.43 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.43 % Source : [Bro09]
% 0.18/0.43 % Names : tps_1154 [Bro09]
% 0.18/0.43
% 0.18/0.43 % Status : Theorem
% 0.18/0.43 % Rating : 0.83 v9.1.0, 0.75 v9.0.0, 0.83 v8.2.0, 0.91 v8.1.0, 0.92 v7.5.0, 1.00 v4.0.0
% 0.18/0.43 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.18/0.43 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.18/0.43 % Maximal formula atoms : 0 ( 0 avg)
% 0.18/0.43 % Number of connectives : 89 ( 10 ~; 17 |; 6 &; 56 @)
% 0.18/0.43 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.43 % Maximal formula depth : 15 ( 15 avg)
% 0.18/0.43 % Number of types : 2 ( 1 usr)
% 0.18/0.43 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.18/0.43 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.18/0.43 % Number of variables : 13 ( 0 ^; 4 !; 9 ?; 13 :)
% 0.18/0.43 % SPC : TH0_THM_NEQ_NAR
% 0.18/0.43
% 0.18/0.43 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.43 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.43 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.43 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.43 %------------------------------------------------------------------------------
% 0.18/0.43 thf(a_type,type,
% 0.18/0.43 a: $tType ).
% 0.18/0.43
% 0.18/0.43 thf(cT145_DOUBLE,conjecture,
% 0.18/0.43 ! [R: a > a > $o,U: ( a > $o ) > a] :
% 0.18/0.43 ( ? [X: a,Y: a,Z: a] :
% 0.18/0.43 ( ( ( R @ X @ Y )
% 0.18/0.43 | ( R @ X @ Y ) )
% 0.18/0.43 & ( ( R @ Y @ Z )
% 0.18/0.43 | ( R @ Y @ Z ) )
% 0.18/0.43 & ( ~ ( R @ X @ Z )
% 0.18/0.43 | ~ ( R @ X @ Z ) ) )
% 0.18/0.43 | ? [Xs: a > $o] :
% 0.18/0.43 ( ? [Xz: a] :
% 0.18/0.43 ( ( ( Xs @ Xz )
% 0.18/0.43 | ( Xs @ Xz ) )
% 0.18/0.43 & ( ~ ( R @ Xz @ ( U @ Xs ) )
% 0.18/0.43 | ~ ( R @ Xz @ ( U @ Xs ) ) ) )
% 0.18/0.43 | ? [Xj: a] :
% 0.18/0.43 ( ! [Xk: a] :
% 0.18/0.43 ( ~ ( Xs @ Xk )
% 0.18/0.43 | ~ ( Xs @ Xk )
% 0.18/0.43 | ( R @ Xk @ Xj )
% 0.18/0.43 | ( R @ Xk @ Xj ) )
% 0.18/0.43 & ( ~ ( R @ ( U @ Xs ) @ Xj )
% 0.18/0.43 | ~ ( R @ ( U @ Xs ) @ Xj ) ) ) )
% 0.18/0.43 | ! [Xf: a > a] :
% 0.18/0.43 ( ? [Xx: a,Xy: a] :
% 0.18/0.43 ( ( ( R @ Xx @ Xy )
% 0.18/0.43 | ( R @ Xx @ Xy ) )
% 0.18/0.43 & ( ~ ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) )
% 0.18/0.43 | ~ ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
% 0.18/0.43 | ? [Xw: a] :
% 0.18/0.43 ( ( ( R @ Xw @ ( Xf @ Xw ) )
% 0.18/0.43 | ( R @ Xw @ ( Xf @ Xw ) ) )
% 0.18/0.43 & ( ( R @ ( Xf @ Xw ) @ Xw )
% 0.18/0.43 | ( R @ ( Xf @ Xw ) @ Xw ) ) ) ) ) ).
% 0.18/0.43
% 0.18/0.43 %------------------------------------------------------------------------------
% 0.18/0.43 ------------------------
% 1.35/1.16 ---- Embedded in THF ---
% 1.35/1.16 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.35/1.16 %%% Generated on Tue Feb 24 14:26:56 EST 2026
% 1.35/1.16 %%% using '$$dhol' embedding, version 1.3.0.
% 1.35/1.16 %%% Logic specification used:
% 1.35/1.16 %%% thf(spec, logic, $$dhol).
% 1.35/1.16
% 1.35/1.16 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.m9DYQkRnWt/DTF2DTF32658.p
% See solution above
% 1.35/1.16 ------------------------
% 1.35/1.17 ---- Cleaned THF ---
% 1.35/1.17 thf(a_type,type,
% 1.35/1.17 a: $tType ).
% 1.35/1.17
% 1.35/1.17 thf(cT145_DOUBLE,conjecture,
% 1.35/1.17 ! [R: a > a > $o,U: ( a > $o ) > a] :
% 1.35/1.17 ( ? [X: a,Y: a,Z: a] :
% 1.35/1.17 ( ( ( R @ X @ Y )
% 1.35/1.17 | ( R @ X @ Y ) )
% 1.35/1.17 & ( ( R @ Y @ Z )
% 1.35/1.17 | ( R @ Y @ Z ) )
% 1.35/1.17 & ( ~ ( R @ X @ Z )
% 1.35/1.17 | ~ ( R @ X @ Z ) ) )
% 1.35/1.17 | ? [Xs: a > $o] :
% 1.35/1.17 ( ? [Xz: a] :
% 1.35/1.17 ( ( ( Xs @ Xz )
% 1.35/1.17 | ( Xs @ Xz ) )
% 1.35/1.17 & ( ~ ( R @ Xz @ ( U @ Xs ) )
% 1.35/1.17 | ~ ( R @ Xz @ ( U @ Xs ) ) ) )
% 1.35/1.17 | ? [Xj: a] :
% 1.35/1.17 ( ! [Xk: a] :
% 1.35/1.17 ( ~ ( Xs @ Xk )
% 1.35/1.17 | ~ ( Xs @ Xk )
% 1.35/1.17 | ( R @ Xk @ Xj )
% 1.35/1.17 | ( R @ Xk @ Xj ) )
% 1.35/1.17 & ( ~ ( R @ ( U @ Xs ) @ Xj )
% 1.35/1.17 | ~ ( R @ ( U @ Xs ) @ Xj ) ) ) )
% 1.35/1.17 | ! [Xf: a > a] :
% 1.35/1.17 ( ? [Xx: a,Xy: a] :
% 1.35/1.17 ( ( ( R @ Xx @ Xy )
% 1.35/1.17 | ( R @ Xx @ Xy ) )
% 1.35/1.17 & ( ~ ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) )
% 1.35/1.17 | ~ ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
% 1.35/1.17 | ? [Xw: a] :
% 1.35/1.17 ( ( ( R @ Xw @ ( Xf @ Xw ) )
% 1.35/1.17 | ( R @ Xw @ ( Xf @ Xw ) ) )
% 1.35/1.17 & ( ( R @ ( Xf @ Xw ) @ Xw )
% 1.35/1.17 | ( R @ ( Xf @ Xw ) @ Xw ) ) ) ) ) ).
% 1.35/1.17 ------------------------
% 1.35/1.18 % (32757)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_32658 for (3000ds/183Mi)
% 1.35/1.19 % (32760)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_32658 for (3000ds/2Mi)
% 1.35/1.19 % (32759)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_32658 for (3000ds/27Mi)
% 1.35/1.19 % (32761)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_32658 for (3000ds/2Mi)
% 1.35/1.19 % (32762)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_32658 for (3000ds/275Mi)
% 1.35/1.19 % (32758)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_32658 for (3000ds/4Mi)
% 1.35/1.19 % (32763)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_32658 for (3000ds/18Mi)
% 1.35/1.19 % (32760)Instruction limit reached!
% 1.35/1.19 % (32760)------------------------------
% 1.35/1.19 % (32760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.35/1.19 % (32760)Termination reason: Unknown
% 1.35/1.19 % (32761)Instruction limit reached!
% 1.35/1.19 % (32761)------------------------------
% 1.35/1.19 % (32761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.35/1.19 % (32761)Termination reason: Unknown
% 1.35/1.19 % (32761)Termination phase: shuffling
% 1.35/1.19
% 1.35/1.19 % (32761)Memory used [KB]: 895
% 1.35/1.19 % (32761)Time elapsed: 0.002 s
% 1.35/1.19 % (32761)Instructions burned: 2 (million)
% 1.35/1.19 % (32761)------------------------------
% 1.35/1.19 % (32761)------------------------------
% 1.35/1.19 % (32760)Termination phase: shuffling
% 1.35/1.19
% 1.35/1.19 % (32760)Memory used [KB]: 895
% 1.35/1.19 % (32760)Time elapsed: 0.002 s
% 1.35/1.19 % (32760)Instructions burned: 2 (million)
% 1.35/1.19 % (32760)------------------------------
% 1.35/1.19 % (32760)------------------------------
% 1.35/1.19 % (32758)Instruction limit reached!
% 1.35/1.19 % (32758)------------------------------
% 1.35/1.19 % (32758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.35/1.19 % (32758)Termination reason: Unknown
% 1.35/1.19 % (32758)Termination phase: Saturation
% 1.35/1.19
% 1.35/1.19 % (32758)Memory used [KB]: 5500
% 1.35/1.19 % (32758)Time elapsed: 0.004 s
% 1.35/1.19 % (32758)Instructions burned: 5 (million)
% 1.35/1.19 % (32758)------------------------------
% 1.35/1.19 % (32758)------------------------------
% 1.41/1.20 % (32763)Instruction limit reached!
% 1.41/1.20 % (32763)------------------------------
% 1.41/1.20 % (32763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.20 % (32763)Termination reason: Unknown
% 1.41/1.20 % (32763)Termination phase: Saturation
% 1.41/1.20
% 1.41/1.20 % (32763)Memory used [KB]: 5628
% 1.41/1.20 % (32763)Time elapsed: 0.011 s
% 1.41/1.20 % (32763)Instructions burned: 19 (million)
% 1.41/1.20 % (32763)------------------------------
% 1.41/1.20 % (32763)------------------------------
% 1.41/1.20 % (32759)Instruction limit reached!
% 1.41/1.20 % (32759)------------------------------
% 1.41/1.20 % (32759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.20 % (32759)Termination reason: Unknown
% 1.41/1.20 % (32759)Termination phase: Saturation
% 1.41/1.20
% 1.41/1.20 % (32759)Memory used [KB]: 5628
% 1.41/1.20 % (32759)Time elapsed: 0.015 s
% 1.41/1.20 % (32759)Instructions burned: 27 (million)
% 1.41/1.20 % (32759)------------------------------
% 1.41/1.20 % (32759)------------------------------
% 1.41/1.21 % (32764)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/3Mi)
% 1.41/1.21 % (32765)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_32658 for (2999ds/37Mi)
% 1.41/1.21 % (32764)Instruction limit reached!
% 1.41/1.21 % (32764)------------------------------
% 1.41/1.21 % (32764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.21 % (32764)Termination reason: Unknown
% 1.41/1.21 % (32764)Termination phase: Saturation
% 1.41/1.21
% 1.41/1.21 % (32764)Memory used [KB]: 5500
% 1.41/1.21 % (32764)Time elapsed: 0.003 s
% 1.41/1.21 % (32764)Instructions burned: 4 (million)
% 1.41/1.21 % (32764)------------------------------
% 1.41/1.21 % (32764)------------------------------
% 1.41/1.21 % (32766)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_32658 for (2999ds/15Mi)
% 1.41/1.21 % (32767)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_32658 for (2999ds/3Mi)
% 1.41/1.22 % (32767)Instruction limit reached!
% 1.41/1.22 % (32767)------------------------------
% 1.41/1.22 % (32767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.22 % (32767)Termination reason: Unknown
% 1.41/1.22 % (32767)Termination phase: Saturation
% 1.41/1.22
% 1.41/1.22 % (32767)Memory used [KB]: 5500
% 1.41/1.22 % (32767)Time elapsed: 0.003 s
% 1.41/1.22 % (32767)Instructions burned: 4 (million)
% 1.41/1.22 % (32767)------------------------------
% 1.41/1.22 % (32767)------------------------------
% 1.41/1.22 % (32766)Instruction limit reached!
% 1.41/1.22 % (32766)------------------------------
% 1.41/1.22 % (32766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.22 % (32766)Termination reason: Unknown
% 1.41/1.22 % (32766)Termination phase: Saturation
% 1.41/1.22
% 1.41/1.22 % (32766)Memory used [KB]: 5628
% 1.41/1.22 % (32766)Time elapsed: 0.009 s
% 1.41/1.22 % (32766)Instructions burned: 15 (million)
% 1.41/1.22 % (32766)------------------------------
% 1.41/1.22 % (32766)------------------------------
% 1.41/1.22 % (300)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_32658 for (2999ds/1041Mi)
% 1.41/1.22 % (32765)Instruction limit reached!
% 1.41/1.22 % (32765)------------------------------
% 1.41/1.22 % (32765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.22 % (32765)Termination reason: Unknown
% 1.41/1.22 % (32765)Termination phase: Saturation
% 1.41/1.22
% 1.41/1.22 % (32765)Memory used [KB]: 5628
% 1.41/1.22 % (32765)Time elapsed: 0.019 s
% 1.41/1.22 % (32765)Instructions burned: 38 (million)
% 1.41/1.22 % (32765)------------------------------
% 1.41/1.22 % (32765)------------------------------
% 1.41/1.23 % (302)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/16Mi)
% 1.41/1.23 % (301)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/7Mi)
% 1.41/1.23 % (303)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_32658 for (2999ds/3Mi)
% 1.41/1.24 % (303)Instruction limit reached!
% 1.41/1.24 % (303)------------------------------
% 1.41/1.24 % (303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.24 % (303)Termination reason: Unknown
% 1.41/1.24 % (303)Termination phase: Property scanning
% 1.41/1.24
% 1.41/1.24 % (303)Memory used [KB]: 1023
% 1.41/1.24 % (303)Time elapsed: 0.003 s
% 1.41/1.24 % (303)Instructions burned: 4 (million)
% 1.41/1.24 % (303)------------------------------
% 1.41/1.24 % (303)------------------------------
% 1.41/1.24 % (301)Instruction limit reached!
% 1.41/1.24 % (301)------------------------------
% 1.41/1.24 % (301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.24 % (301)Termination reason: Unknown
% 1.41/1.24 % (301)Termination phase: Saturation
% 1.41/1.24
% 1.41/1.24 % (301)Memory used [KB]: 1023
% 1.41/1.24 % (301)Time elapsed: 0.005 s
% 1.41/1.24 % (301)Instructions burned: 7 (million)
% 1.41/1.24 % (301)------------------------------
% 1.41/1.24 % (301)------------------------------
% 1.41/1.24 % (32757)Instruction limit reached!
% 1.41/1.24 % (32757)------------------------------
% 1.41/1.24 % (32757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.24 % (32757)Termination reason: Unknown
% 1.41/1.24 % (32757)Termination phase: Saturation
% 1.41/1.24
% 1.41/1.24 % (32757)Memory used [KB]: 6652
% 1.41/1.24 % (32757)Time elapsed: 0.057 s
% 1.41/1.24 % (32757)Instructions burned: 183 (million)
% 1.41/1.24 % (32757)------------------------------
% 1.41/1.24 % (32757)------------------------------
% 1.41/1.24 % (304)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_32658 for (2999ds/3Mi)
% 1.41/1.24 % (302)Instruction limit reached!
% 1.41/1.24 % (302)------------------------------
% 1.41/1.24 % (302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.24 % (302)Termination reason: Unknown
% 1.41/1.24 % (302)Termination phase: Saturation
% 1.41/1.24
% 1.41/1.24 % (302)Memory used [KB]: 5628
% 1.41/1.24 % (302)Time elapsed: 0.009 s
% 1.41/1.24 % (302)Instructions burned: 16 (million)
% 1.41/1.24 % (302)------------------------------
% 1.41/1.24 % (302)------------------------------
% 1.41/1.24 % (304)Instruction limit reached!
% 1.41/1.24 % (304)------------------------------
% 1.41/1.24 % (304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.24 % (304)Termination reason: Unknown
% 1.41/1.24 % (304)Termination phase: Equality resolution with deletion
% 1.41/1.24
% 1.41/1.24 % (304)Memory used [KB]: 1023
% 1.41/1.24 % (304)Time elapsed: 0.003 s
% 1.41/1.24 % (304)Instructions burned: 4 (million)
% 1.41/1.24 % (304)------------------------------
% 1.41/1.24 % (304)------------------------------
% 1.41/1.25 % (307)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/4Mi)
% 1.41/1.25 % (307)Instruction limit reached!
% 1.41/1.25 % (307)------------------------------
% 1.41/1.25 % (307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.25 % (307)Termination reason: Unknown
% 1.41/1.25 % (307)Termination phase: Property scanning
% 1.41/1.25
% 1.41/1.25 % (307)Memory used [KB]: 1023
% 1.41/1.25 % (307)Time elapsed: 0.002 s
% 1.41/1.25 % (307)Instructions burned: 4 (million)
% 1.41/1.25 % (307)------------------------------
% 1.41/1.25 % (307)------------------------------
% 1.41/1.25 % (305)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/7Mi)
% 1.41/1.25 % (306)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/3Mi)
% 1.41/1.25 % (306)Instruction limit reached!
% 1.41/1.25 % (306)------------------------------
% 1.41/1.25 % (306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.25 % (306)Termination reason: Unknown
% 1.41/1.25 % (306)Termination phase: Saturation
% 1.41/1.25
% 1.41/1.25 % (306)Memory used [KB]: 5500
% 1.41/1.25 % (306)Time elapsed: 0.003 s
% 1.41/1.25 % (306)Instructions burned: 4 (million)
% 1.41/1.25 % (306)------------------------------
% 1.41/1.25 % (306)------------------------------
% 1.41/1.26 % (305)Instruction limit reached!
% 1.41/1.26 % (305)------------------------------
% 1.41/1.26 % (305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.26 % (305)Termination reason: Unknown
% 1.41/1.26 % (305)Termination phase: Saturation
% 1.41/1.26
% 1.41/1.26 % (305)Memory used [KB]: 5500
% 1.41/1.26 % (305)Time elapsed: 0.005 s
% 1.41/1.26 % (305)Instructions burned: 7 (million)
% 1.41/1.26 % (305)------------------------------
% 1.41/1.26 % (305)------------------------------
% 1.41/1.26 % (308)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/18Mi)
% 1.41/1.26 % (309)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/710Mi)
% 1.41/1.26 % (310)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/6Mi)
% 1.41/1.26 % (310)Instruction limit reached!
% 1.41/1.26 % (310)------------------------------
% 1.41/1.26 % (310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.26 % (310)Termination reason: Unknown
% 1.41/1.26 % (310)Termination phase: Saturation
% 1.41/1.26
% 1.41/1.26 % (310)Memory used [KB]: 5500
% 1.41/1.26 % (310)Time elapsed: 0.003 s
% 1.41/1.26 % (310)Instructions burned: 7 (million)
% 1.41/1.26 % (310)------------------------------
% 1.41/1.26 % (310)------------------------------
% 1.41/1.27 % (308)Instruction limit reached!
% 1.41/1.27 % (308)------------------------------
% 1.41/1.27 % (308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.27 % (308)Termination reason: Unknown
% 1.41/1.27 % (308)Termination phase: Saturation
% 1.41/1.27
% 1.41/1.27 % (308)Memory used [KB]: 5628
% 1.41/1.27 % (308)Time elapsed: 0.011 s
% 1.41/1.27 % (308)Instructions burned: 19 (million)
% 1.41/1.27 % (308)------------------------------
% 1.41/1.27 % (308)------------------------------
% 1.41/1.27 % (313)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/5Mi)
% 1.41/1.27 % (311)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_32658 for (2999ds/902Mi)
% 1.41/1.27 % (312)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_32658 for (2999ds/21Mi)
% 1.41/1.27 % (313)Instruction limit reached!
% 1.41/1.27 % (313)------------------------------
% 1.41/1.27 % (313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.27 % (313)Termination reason: Unknown
% 1.41/1.27 % (313)Termination phase: Saturation
% 1.41/1.27
% 1.41/1.27 % (313)Memory used [KB]: 5500
% 1.41/1.27 % (313)Time elapsed: 0.003 s
% 1.41/1.27 % (313)Instructions burned: 8 (million)
% 1.41/1.27 % (313)------------------------------
% 1.41/1.27 % (313)------------------------------
% 1.41/1.28 % (315)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_32658 for (2999ds/377Mi)
% 1.41/1.28 % (314)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_32658 for (2999ds/6Mi)
% 1.41/1.28 % (312)Instruction limit reached!
% 1.41/1.28 % (312)------------------------------
% 1.41/1.28 % (312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.28 % (312)Termination reason: Unknown
% 1.41/1.28 % (312)Termination phase: Saturation
% 1.41/1.28
% 1.41/1.28 % (312)Memory used [KB]: 5628
% 1.41/1.28 % (312)Time elapsed: 0.012 s
% 1.41/1.28 % (312)Instructions burned: 21 (million)
% 1.41/1.28 % (312)------------------------------
% 1.41/1.28 % (312)------------------------------
% 1.41/1.28 % (314)Instruction limit reached!
% 1.41/1.28 % (314)------------------------------
% 1.41/1.28 % (314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.28 % (314)Termination reason: Unknown
% 1.41/1.28 % (314)Termination phase: Saturation
% 1.41/1.28
% 1.41/1.28 % (314)Memory used [KB]: 5500
% 1.41/1.28 % (314)Time elapsed: 0.004 s
% 1.41/1.28 % (314)Instructions burned: 7 (million)
% 1.41/1.28 % (314)------------------------------
% 1.41/1.28 % (314)------------------------------
% 1.41/1.29 % (316)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_32658 for (2999ds/779Mi)
% 1.41/1.30 % (317)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_32658 for (2999ds/19Mi)
% 1.41/1.31 % (317)Instruction limit reached!
% 1.41/1.31 % (317)------------------------------
% 1.41/1.31 % (317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.31 % (317)Termination reason: Unknown
% 1.41/1.31 % (317)Termination phase: Saturation
% 1.41/1.31
% 1.41/1.31 % (317)Memory used [KB]: 5628
% 1.41/1.31 % (317)Time elapsed: 0.010 s
% 1.41/1.31 % (317)Instructions burned: 19 (million)
% 1.41/1.31 % (317)------------------------------
% 1.41/1.31 % (317)------------------------------
% 1.41/1.32 % (32762)Instruction limit reached!
% 1.41/1.32 % (32762)------------------------------
% 1.41/1.32 % (32762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.32 % (32762)Termination reason: Unknown
% 1.41/1.32 % (32762)Termination phase: Saturation
% 1.41/1.32
% 1.41/1.32 % (32762)Memory used [KB]: 6140
% 1.41/1.32 % (32762)Time elapsed: 0.134 s
% 1.41/1.32 % (32762)Instructions burned: 276 (million)
% 1.41/1.32 % (32762)------------------------------
% 1.41/1.32 % (32762)------------------------------
% 1.41/1.32 % (318)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_32658 for (2998ds/879Mi)
% 1.41/1.34 % (319)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_32658 for (2998ds/17Mi)
% 1.41/1.35 % (319)Instruction limit reached!
% 1.41/1.35 % (319)------------------------------
% 1.41/1.35 % (319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.35 % (319)Termination reason: Unknown
% 1.41/1.35 % (319)Termination phase: Saturation
% 1.41/1.35
% 1.41/1.35 % (319)Memory used [KB]: 5628
% 1.41/1.35 % (319)Time elapsed: 0.011 s
% 1.41/1.35 % (319)Instructions burned: 17 (million)
% 1.41/1.35 % (319)------------------------------
% 1.41/1.35 % (319)------------------------------
% 1.41/1.36 % (320)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_32658 for (2998ds/3Mi)
% 1.41/1.36 % (320)Instruction limit reached!
% 1.41/1.36 % (320)------------------------------
% 1.41/1.36 % (320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.36 % (320)Termination reason: Unknown
% 1.41/1.36 % (320)Termination phase: Property scanning
% 1.41/1.36
% 1.41/1.36 % (320)Memory used [KB]: 1023
% 1.41/1.36 % (320)Time elapsed: 0.003 s
% 1.41/1.36 % (320)Instructions burned: 4 (million)
% 1.41/1.36 % (320)------------------------------
% 1.41/1.36 % (320)------------------------------
% 1.41/1.38 % (321)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_32658 for (2998ds/30Mi)
% 1.41/1.40 % (321)Instruction limit reached!
% 1.41/1.40 % (321)------------------------------
% 1.41/1.40 % (321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.40 % (321)Termination reason: Unknown
% 1.41/1.40 % (321)Termination phase: Saturation
% 1.41/1.40
% 1.41/1.40 % (321)Memory used [KB]: 5628
% 1.41/1.40 % (321)Time elapsed: 0.017 s
% 1.41/1.40 % (321)Instructions burned: 30 (million)
% 1.41/1.40 % (321)------------------------------
% 1.41/1.40 % (321)------------------------------
% 1.41/1.41 % (322)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_32658 for (2997ds/127Mi)
% 1.41/1.46 % (315)Instruction limit reached!
% 1.41/1.46 % (315)------------------------------
% 1.41/1.46 % (315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.46 % (315)Termination reason: Unknown
% 1.41/1.46 % (315)Termination phase: Saturation
% 1.41/1.46
% 1.41/1.46 % (315)Memory used [KB]: 6140
% 1.41/1.46 % (315)Time elapsed: 0.178 s
% 1.41/1.46 % (315)Instructions burned: 377 (million)
% 1.41/1.46 % (315)------------------------------
% 1.41/1.46 % (315)------------------------------
% 1.41/1.48 % (322)Instruction limit reached!
% 1.41/1.48 % (322)------------------------------
% 1.41/1.48 % (322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.48 % (322)Termination reason: Unknown
% 1.41/1.48 % (322)Termination phase: Saturation
% 1.41/1.48
% 1.41/1.48 % (322)Memory used [KB]: 6012
% 1.41/1.48 % (322)Time elapsed: 0.065 s
% 1.41/1.48 % (322)Instructions burned: 127 (million)
% 1.41/1.48 % (322)------------------------------
% 1.41/1.48 % (322)------------------------------
% 1.41/1.49 % (323)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_32658 for (2997ds/100Mi)
% 1.41/1.49 % (324)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_32658 for (2997ds/3Mi)
% 1.41/1.50 % (324)Instruction limit reached!
% 1.41/1.50 % (324)------------------------------
% 1.41/1.50 % (324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.50 % (324)Termination reason: Unknown
% 1.41/1.50 % (324)Termination phase: Saturation
% 1.41/1.50
% 1.41/1.50 % (324)Memory used [KB]: 5500
% 1.41/1.50 % (324)Time elapsed: 0.003 s
% 1.41/1.50 % (324)Instructions burned: 4 (million)
% 1.41/1.50 % (324)------------------------------
% 1.41/1.50 % (324)------------------------------
% 1.41/1.51 % (325)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_32658 for (2996ds/20Mi)
% 1.41/1.51 % (309)Instruction limit reached!
% 1.41/1.51 % (309)------------------------------
% 1.41/1.51 % (309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.51 % (309)Termination reason: Unknown
% 1.41/1.51 % (309)Termination phase: Saturation
% 1.41/1.51
% 1.41/1.51 % (309)Memory used [KB]: 7419
% 1.41/1.51 % (309)Time elapsed: 0.260 s
% 1.41/1.51 % (309)Instructions burned: 711 (million)
% 1.41/1.51 % (309)------------------------------
% 1.41/1.51 % (309)------------------------------
% 1.41/1.52 % (325)Instruction limit reached!
% 1.41/1.52 % (325)------------------------------
% 1.41/1.52 % (325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.52 % (325)Termination reason: Unknown
% 1.41/1.52 % (325)Termination phase: Saturation
% 1.41/1.52
% 1.41/1.52 % (325)Memory used [KB]: 5628
% 1.41/1.52 % (325)Time elapsed: 0.012 s
% 1.41/1.52 % (325)Instructions burned: 21 (million)
% 1.41/1.52 % (325)------------------------------
% 1.41/1.52 % (325)------------------------------
% 1.41/1.52 % (326)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_32658 for (2996ds/86Mi)
% 1.41/1.53 % (323)Instruction limit reached!
% 1.41/1.53 % (323)------------------------------
% 1.41/1.53 % (323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.53 % (323)Termination reason: Unknown
% 1.41/1.53 % (323)Termination phase: Saturation
% 1.41/1.53
% 1.41/1.53 % (323)Memory used [KB]: 5756
% 1.41/1.53 % (323)Time elapsed: 0.073 s
% 1.41/1.53 % (323)Instructions burned: 101 (million)
% 1.41/1.53 % (323)------------------------------
% 1.41/1.53 % (323)------------------------------
% 1.41/1.54 % (327)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_32658 for (2996ds/107Mi)
% 1.41/1.55 % (328)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_32658 for (2996ds/39Mi)
% 1.41/1.55 % (326)Instruction limit reached!
% 1.41/1.55 % (326)------------------------------
% 1.41/1.55 % (326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.55 % (326)Termination reason: Unknown
% 1.41/1.55 % (326)Termination phase: Saturation
% 1.41/1.55
% 1.41/1.55 % (326)Memory used [KB]: 6140
% 1.41/1.55 % (326)Time elapsed: 0.050 s
% 1.41/1.55 % (326)Instructions burned: 86 (million)
% 1.41/1.55 % (326)------------------------------
% 1.41/1.55 % (326)------------------------------
% 1.41/1.57 % (329)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_32658 for (2996ds/448Mi)
% 1.41/1.57 % (328)Instruction limit reached!
% 1.41/1.57 % (328)------------------------------
% 1.41/1.57 % (328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.57 % (328)Termination reason: Unknown
% 1.41/1.57 % (328)Termination phase: Saturation
% 1.41/1.57
% 1.41/1.57 % (328)Memory used [KB]: 5884
% 1.41/1.57 % (328)Time elapsed: 0.042 s
% 1.41/1.57 % (328)Instructions burned: 40 (million)
% 1.41/1.57 % (328)------------------------------
% 1.41/1.57 % (328)------------------------------
% 1.41/1.58 % (330)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_32658 for (2996ds/46Mi)
% 1.41/1.59 % (327)Instruction limit reached!
% 1.41/1.59 % (327)------------------------------
% 1.41/1.59 % (327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.59 % (327)Termination reason: Unknown
% 1.41/1.59 % (327)Termination phase: Saturation
% 1.41/1.59
% 1.41/1.59 % (327)Memory used [KB]: 6140
% 1.41/1.59 % (327)Time elapsed: 0.075 s
% 1.41/1.59 % (327)Instructions burned: 108 (million)
% 1.41/1.59 % (327)------------------------------
% 1.41/1.59 % (327)------------------------------
% 1.41/1.60 % (316)Instruction limit reached!
% 1.41/1.60 % (316)------------------------------
% 1.41/1.60 % (316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.60 % (316)Termination reason: Unknown
% 1.41/1.60 % (316)Termination phase: Saturation
% 1.41/1.60
% 1.41/1.60 % (316)Memory used [KB]: 6652
% 1.41/1.60 % (316)Time elapsed: 0.310 s
% 1.41/1.60 % (316)Instructions burned: 779 (million)
% 1.41/1.60 % (316)------------------------------
% 1.41/1.60 % (316)------------------------------
% 1.41/1.61 % (330)Instruction limit reached!
% 1.41/1.61 % (330)------------------------------
% 1.41/1.61 % (330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.61 % (330)Termination reason: Unknown
% 1.41/1.61 % (330)Termination phase: Saturation
% 1.41/1.61
% 1.41/1.61 % (330)Memory used [KB]: 5628
% 1.41/1.61 % (330)Time elapsed: 0.025 s
% 1.41/1.61 % (330)Instructions burned: 47 (million)
% 1.41/1.61 % (330)------------------------------
% 1.41/1.61 % (330)------------------------------
% 1.41/1.61 % (331)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_32658 for (2995ds/98Mi)
% 1.41/1.62 % (332)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_32658 for (2995ds/507Mi)
% 1.41/1.62 % (333)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_32658 for (2995ds/149Mi)
% 1.41/1.64 % (331)Instruction limit reached!
% 1.41/1.64 % (331)------------------------------
% 1.41/1.64 % (331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.64 % (331)Termination reason: Unknown
% 1.41/1.64 % (331)Termination phase: Saturation
% 1.41/1.64
% 1.41/1.64 % (331)Memory used [KB]: 1279
% 1.41/1.64 % (331)Time elapsed: 0.030 s
% 1.41/1.64 % (331)Instructions burned: 98 (million)
% 1.41/1.64 % (331)------------------------------
% 1.41/1.64 % (331)------------------------------
% 1.41/1.65 % (334)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_32658 for (2995ds/39Mi)
% 1.41/1.66 % (334)Instruction limit reached!
% 1.41/1.66 % (334)------------------------------
% 1.41/1.66 % (334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.66 % (334)Termination reason: Unknown
% 1.41/1.66 % (334)Termination phase: Saturation
% 1.41/1.66
% 1.41/1.66 % (334)Memory used [KB]: 5628
% 1.41/1.66 % (334)Time elapsed: 0.014 s
% 1.41/1.66 % (334)Instructions burned: 41 (million)
% 1.41/1.66 % (334)------------------------------
% 1.41/1.66 % (334)------------------------------
% 1.41/1.67 % (335)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_32658 for (2995ds/6Mi)
% 1.41/1.67 % (300)Instruction limit reached!
% 1.41/1.67 % (300)------------------------------
% 1.41/1.67 % (300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.67 % (335)Instruction limit reached!
% 1.41/1.67 % (335)------------------------------
% 1.41/1.67 % (335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.67 % (335)Termination reason: Unknown
% 1.41/1.67 % (335)Termination phase: Saturation
% 1.41/1.67
% 1.41/1.67 % (335)Memory used [KB]: 9978
% 1.41/1.67 % (335)Time elapsed: 0.003 s
% 1.41/1.67 % (335)Instructions burned: 6 (million)
% 1.41/1.67 % (335)------------------------------
% 1.41/1.67 % (335)------------------------------
% 1.41/1.67 % (300)Termination reason: Unknown
% 1.41/1.67 % (300)Termination phase: Saturation
% 1.41/1.67
% 1.41/1.67 % (300)Memory used [KB]: 7803
% 1.41/1.67 % (300)Time elapsed: 0.455 s
% 1.41/1.67 % (300)Instructions burned: 1043 (million)
% 1.41/1.67 % (300)------------------------------
% 1.41/1.67 % (300)------------------------------
% 1.41/1.67 % (311)Instruction limit reached!
% 1.41/1.67 % (311)------------------------------
% 1.41/1.67 % (311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.67 % (311)Termination reason: Unknown
% 1.41/1.67 % (311)Termination phase: Saturation
% 1.41/1.67
% 1.41/1.67 % (311)Memory used [KB]: 6652
% 1.41/1.67 % (311)Time elapsed: 0.405 s
% 1.41/1.67 % (311)Instructions burned: 902 (million)
% 1.41/1.67 % (311)------------------------------
% 1.41/1.67 % (311)------------------------------
% 1.41/1.68 % (336)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_32658 for (2995ds/1087Mi)
% 1.41/1.69 % (338)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_32658 for (2995ds/44Mi)
% 1.41/1.69 % (337)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_32658 for (2995ds/47Mi)
% 1.41/1.69 % (333)Instruction limit reached!
% 1.41/1.69 % (333)------------------------------
% 1.41/1.69 % (333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.69 % (333)Termination reason: Unknown
% 1.41/1.69 % (333)Termination phase: Saturation
% 1.41/1.69
% 1.41/1.69 % (333)Memory used [KB]: 6012
% 1.41/1.69 % (333)Time elapsed: 0.072 s
% 1.41/1.69 % (333)Instructions burned: 150 (million)
% 1.41/1.69 % (333)------------------------------
% 1.41/1.69 % (333)------------------------------
% 1.41/1.71 % (340)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_32658 for (2994ds/432Mi)
% 1.41/1.71 % (338)Instruction limit reached!
% 1.41/1.71 % (338)------------------------------
% 1.41/1.71 % (338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.71 % (338)Termination reason: Unknown
% 1.41/1.71 % (338)Termination phase: Saturation
% 1.41/1.71
% 1.41/1.71 % (338)Memory used [KB]: 1279
% 1.41/1.71 % (338)Time elapsed: 0.022 s
% 1.41/1.71 % (338)Instructions burned: 44 (million)
% 1.41/1.71 % (338)------------------------------
% 1.41/1.71 % (338)------------------------------
% 1.41/1.72 % (337)Instruction limit reached!
% 1.41/1.72 % (337)------------------------------
% 1.41/1.72 % (337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.72 % (337)Termination reason: Unknown
% 1.41/1.72 % (337)Termination phase: Saturation
% 1.41/1.72
% 1.41/1.72 % (337)Memory used [KB]: 5756
% 1.41/1.72 % (337)Time elapsed: 0.047 s
% 1.41/1.72 % (337)Instructions burned: 47 (million)
% 1.41/1.72 % (337)------------------------------
% 1.41/1.72 % (337)------------------------------
% 1.41/1.73 % (341)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_32658 for (2994ds/62Mi)
% 1.41/1.73 % (342)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_32658 for (2994ds/31Mi)
% 1.41/1.74 % (342)Instruction limit reached!
% 1.41/1.74 % (342)------------------------------
% 1.41/1.74 % (342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.74 % (342)Termination reason: Unknown
% 1.41/1.74 % (342)Termination phase: Saturation
% 1.41/1.74
% 1.41/1.74 % (342)Memory used [KB]: 5756
% 1.41/1.74 % (342)Time elapsed: 0.012 s
% 1.41/1.74 % (342)Instructions burned: 33 (million)
% 1.41/1.74 % (342)------------------------------
% 1.41/1.74 % (342)------------------------------
% 1.41/1.74 % (318)Refutation not found, non-redundant clauses discarded% (318)------------------------------
% 1.41/1.74 % (318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.74 % (318)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.41/1.74
% 1.41/1.74 % (318)Memory used [KB]: 7419
% 1.41/1.74 % (318)Time elapsed: 0.420 s
% 1.41/1.74 % (318)Instructions burned: 877 (million)
% 1.41/1.74 % (318)------------------------------
% 1.41/1.74 % (318)------------------------------
% 1.41/1.75 % (343)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_32658 for (2994ds/96Mi)
% 1.41/1.76 % (341)Instruction limit reached!
% 1.41/1.76 % (341)------------------------------
% 1.41/1.76 % (341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.76 % (341)Termination reason: Unknown
% 1.41/1.76 % (341)Termination phase: Saturation
% 1.41/1.76
% 1.41/1.76 % (341)Memory used [KB]: 5884
% 1.41/1.76 % (341)Time elapsed: 0.031 s
% 1.41/1.76 % (341)Instructions burned: 62 (million)
% 1.41/1.76 % (341)------------------------------
% 1.41/1.76 % (341)------------------------------
% 1.41/1.76 % (344)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_32658 for (2994ds/453Mi)
% 1.41/1.78 % (345)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_32658 for (2994ds/71Mi)
% 1.41/1.78 % (329)Instruction limit reached!
% 1.41/1.78 % (329)------------------------------
% 1.41/1.78 % (329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.78 % (329)Termination reason: Unknown
% 1.41/1.78 % (329)Termination phase: Saturation
% 1.41/1.78
% 1.41/1.78 % (329)Memory used [KB]: 6652
% 1.41/1.78 % (329)Time elapsed: 0.218 s
% 1.41/1.78 % (329)Instructions burned: 449 (million)
% 1.41/1.78 % (329)------------------------------
% 1.41/1.78 % (329)------------------------------
% 1.41/1.79 % (343)Instruction limit reached!
% 1.41/1.79 % (343)------------------------------
% 1.41/1.79 % (343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.79 % (343)Termination reason: Unknown
% 1.41/1.79 % (343)Termination phase: Saturation
% 1.41/1.79
% 1.41/1.80 % (343)Memory used [KB]: 5884
% 1.41/1.80 % (343)Time elapsed: 0.032 s
% 1.41/1.80 % (343)Instructions burned: 98 (million)
% 1.41/1.80 % (343)------------------------------
% 1.41/1.80 % (343)------------------------------
% 1.41/1.80 % (346)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_32658 for (2993ds/83Mi)
% 1.41/1.81 % (347)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_32658 for (2993ds/11Mi)
% 1.41/1.81 % (345)Instruction limit reached!
% 1.41/1.81 % (345)------------------------------
% 1.41/1.81 % (345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.81 % (345)Termination reason: Unknown
% 1.41/1.81 % (345)Termination phase: Saturation
% 1.41/1.81
% 1.41/1.81 % (345)Memory used [KB]: 5884
% 1.41/1.81 % (345)Time elapsed: 0.048 s
% 1.41/1.81 % (345)Instructions burned: 72 (million)
% 1.41/1.81 % (345)------------------------------
% 1.41/1.81 % (345)------------------------------
% 1.41/1.82 % (347)Instruction limit reached!
% 1.41/1.82 % (347)------------------------------
% 1.41/1.82 % (347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.82 % (347)Termination reason: Unknown
% 1.41/1.82 % (347)Termination phase: Saturation
% 1.41/1.82
% 1.41/1.82 % (347)Memory used [KB]: 5500
% 1.41/1.82 % (347)Time elapsed: 0.006 s
% 1.41/1.82 % (347)Instructions burned: 11 (million)
% 1.41/1.82 % (347)------------------------------
% 1.41/1.82 % (347)------------------------------
% 1.41/1.82 % (348)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_32658 for (2993ds/41Mi)
% 1.41/1.83 % (349)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_32658 for (2993ds/6Mi)
% 1.41/1.84 % (348)Instruction limit reached!
% 1.41/1.84 % (348)------------------------------
% 1.41/1.84 % (348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.84 % (348)Termination reason: Unknown
% 1.41/1.84 % (348)Termination phase: Saturation
% 1.41/1.84
% 1.41/1.84 % (348)Memory used [KB]: 5628
% 1.41/1.84 % (348)Time elapsed: 0.013 s
% 1.41/1.84 % (348)Instructions burned: 41 (million)
% 1.41/1.84 % (348)------------------------------
% 1.41/1.84 % (348)------------------------------
% 1.41/1.84 % (349)Instruction limit reached!
% 1.41/1.84 % (349)------------------------------
% 1.41/1.84 % (349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.84 % (349)Termination reason: Unknown
% 1.41/1.84 % (349)Termination phase: Saturation
% 1.41/1.84
% 1.41/1.84 % (349)Memory used [KB]: 5500
% 1.41/1.84 % (349)Time elapsed: 0.005 s
% 1.41/1.84 % (349)Instructions burned: 7 (million)
% 1.41/1.84 % (349)------------------------------
% 1.41/1.84 % (349)------------------------------
% 1.41/1.84 % (346)Instruction limit reached!
% 1.41/1.84 % (346)------------------------------
% 1.41/1.84 % (346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.84 % (346)Termination reason: Unknown
% 1.41/1.84 % (346)Termination phase: Saturation
% 1.41/1.84
% 1.41/1.84 % (346)Memory used [KB]: 5884
% 1.41/1.84 % (346)Time elapsed: 0.042 s
% 1.41/1.84 % (346)Instructions burned: 83 (million)
% 1.41/1.84 % (346)------------------------------
% 1.41/1.84 % (346)------------------------------
% 1.41/1.84 % (350)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_32658 for (2993ds/150Mi)
% 1.41/1.85 % (351)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_32658 for (2993ds/343Mi)
% 1.41/1.86 % (352)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_32658 for (2993ds/109Mi)
% 1.41/1.86 % (332)Instruction limit reached!
% 1.41/1.86 % (332)------------------------------
% 1.41/1.86 % (332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.86 % (332)Termination reason: Unknown
% 1.41/1.86 % (332)Termination phase: Saturation
% 1.41/1.86
% 1.41/1.86 % (332)Memory used [KB]: 6780
% 1.41/1.86 % (332)Time elapsed: 0.246 s
% 1.41/1.86 % (332)Instructions burned: 509 (million)
% 1.41/1.86 % (332)------------------------------
% 1.41/1.86 % (332)------------------------------
% 1.41/1.88 % (353)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_32658 for (2993ds/253Mi)
% 1.41/1.90 % (352)Instruction limit reached!
% 1.41/1.90 % (352)------------------------------
% 1.41/1.90 % (352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.90 % (352)Termination reason: Unknown
% 1.41/1.90 % (352)Termination phase: Saturation
% 1.41/1.90
% 1.41/1.90 % (352)Memory used [KB]: 6140
% 1.41/1.90 % (352)Time elapsed: 0.044 s
% 1.41/1.90 % (352)Instructions burned: 109 (million)
% 1.41/1.90 % (352)------------------------------
% 1.41/1.90 % (352)------------------------------
% 1.41/1.91 % (350)Instruction limit reached!
% 1.41/1.91 % (350)------------------------------
% 1.41/1.91 % (350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.91 % (350)Termination reason: Unknown
% 1.41/1.91 % (350)Termination phase: Saturation
% 1.41/1.91
% 1.41/1.91 % (350)Memory used [KB]: 6012
% 1.41/1.91 % (350)Time elapsed: 0.064 s
% 1.41/1.91 % (350)Instructions burned: 150 (million)
% 1.41/1.91 % (350)------------------------------
% 1.41/1.91 % (350)------------------------------
% 1.41/1.91 % (340)Instruction limit reached!
% 1.41/1.91 % (340)------------------------------
% 1.41/1.91 % (340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.91 % (340)Termination reason: Unknown
% 1.41/1.91 % (340)Termination phase: Saturation
% 1.41/1.91
% 1.41/1.91 % (340)Memory used [KB]: 3070
% 1.41/1.91 % (340)Time elapsed: 0.205 s
% 1.41/1.91 % (340)Instructions burned: 433 (million)
% 1.41/1.91 % (340)------------------------------
% 1.41/1.91 % (340)------------------------------
% 1.41/1.92 % (354)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_32658 for (2992ds/140Mi)
% 1.41/1.92 % (355)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_32658 for (2992ds/614Mi)
% 1.41/1.93 % (356)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_32658 for (2992ds/202Mi)
% 1.41/1.97 % (344)Instruction limit reached!
% 1.41/1.97 % (344)------------------------------
% 1.41/1.97 % (344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.97 % (344)Termination reason: Unknown
% 1.41/1.97 % (344)Termination phase: Saturation
% 1.41/1.97
% 1.41/1.97 % (344)Memory used [KB]: 6140
% 1.41/1.97 % (344)Time elapsed: 0.214 s
% 1.41/1.97 % (344)Instructions burned: 453 (million)
% 1.41/1.97 % (344)------------------------------
% 1.41/1.97 % (344)------------------------------
% 1.41/1.98 % (354)Instruction limit reached!
% 1.41/1.98 % (354)------------------------------
% 1.41/1.98 % (354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.98 % (354)Termination reason: Unknown
% 1.41/1.98 % (354)Termination phase: Saturation
% 1.41/1.98
% 1.41/1.98 % (354)Memory used [KB]: 6012
% 1.41/1.98 % (354)Time elapsed: 0.070 s
% 1.41/1.98 % (354)Instructions burned: 141 (million)
% 1.41/1.98 % (354)------------------------------
% 1.41/1.98 % (354)------------------------------
% 1.41/1.99 % (357)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_32658 for (2992ds/339Mi)
% 1.41/2.00 % (353)Instruction limit reached!
% 1.41/2.00 % (353)------------------------------
% 1.41/2.00 % (353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/2.00 % (353)Termination reason: Unknown
% 1.41/2.00 % (353)Termination phase: Saturation
% 1.41/2.00
% 1.41/2.00 % (353)Memory used [KB]: 6012
% 1.41/2.00 % (353)Time elapsed: 0.124 s
% 1.41/2.00 % (353)Instructions burned: 254 (million)
% 1.41/2.00 % (353)------------------------------
% 1.41/2.00 % (353)------------------------------
% 1.41/2.00 % (358)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_32658 for (2992ds/283Mi)
% 1.41/2.00 % (356)Instruction limit reached!
% 1.41/2.00 % (356)------------------------------
% 1.41/2.00 % (356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/2.00 % (356)Termination reason: Unknown
% 1.41/2.00 % (356)Termination phase: Saturation
% 1.41/2.00
% 1.41/2.00 % (356)Memory used [KB]: 6140
% 1.41/2.00 % (356)Time elapsed: 0.072 s
% 1.41/2.00 % (356)Instructions burned: 203 (million)
% 1.41/2.00 % (356)------------------------------
% 1.41/2.00 % (356)------------------------------
% 1.41/2.00 % (351)Instruction limit reached!
% 1.41/2.00 % (351)------------------------------
% 1.41/2.00 % (351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/2.00 % (351)Termination reason: Unknown
% 1.41/2.00 % (351)Termination phase: Saturation
% 1.41/2.00
% 1.41/2.00 % (351)Memory used [KB]: 6652
% 1.41/2.00 % (351)Time elapsed: 0.154 s
% 1.41/2.00 % (351)Instructions burned: 345 (million)
% 1.41/2.00 % (351)------------------------------
% 1.41/2.00 % (351)------------------------------
% 1.41/2.01 % (361)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_32658 for (2991ds/192Mi)
% 1.41/2.02 % (359)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_32658 for (2991ds/134Mi)
% 1.41/2.02 % (360)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_32658 for (2991ds/298Mi)
% 7.07/2.08 % (359)Instruction limit reached!
% 7.07/2.08 % (359)------------------------------
% 7.07/2.08 % (359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.07/2.08 % (359)Termination reason: Unknown
% 7.07/2.08 % (359)Termination phase: Saturation
% 7.07/2.08
% 7.07/2.08 % (359)Memory used [KB]: 6268
% 7.07/2.08 % (359)Time elapsed: 0.066 s
% 7.07/2.08 % (359)Instructions burned: 135 (million)
% 7.07/2.08 % (359)------------------------------
% 7.07/2.08 % (359)------------------------------
% 7.07/2.09 % (362)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_32658 for (2991ds/258Mi)
% 7.07/2.11 % (361)Instruction limit reached!
% 7.07/2.11 % (361)------------------------------
% 7.07/2.11 % (361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.07/2.11 % (361)Termination reason: Unknown
% 7.07/2.11 % (361)Termination phase: Saturation
% 7.07/2.11
% 7.07/2.11 % (361)Memory used [KB]: 6268
% 7.07/2.11 % (361)Time elapsed: 0.096 s
% 7.07/2.11 % (361)Instructions burned: 192 (million)
% 7.07/2.11 % (361)------------------------------
% 7.07/2.11 % (361)------------------------------
% 7.07/2.12 % (358)Instruction limit reached!
% 7.07/2.12 % (358)------------------------------
% 7.07/2.12 % (358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.07/2.12 % (358)Termination reason: Unknown
% 7.07/2.12 % (358)Termination phase: Saturation
% 7.07/2.12
% 7.07/2.12 % (358)Memory used [KB]: 7547
% 7.07/2.12 % (358)Time elapsed: 0.118 s
% 7.07/2.12 % (358)Instructions burned: 284 (million)
% 7.07/2.12 % (358)------------------------------
% 7.07/2.12 % (358)------------------------------
% 7.72/2.13 % (363)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_32658 for (2990ds/90Mi)
% 7.72/2.13 % (364)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_32658 for (2990ds/231Mi)
% 7.72/2.15 % (357)Instruction limit reached!
% 7.72/2.15 % (357)------------------------------
% 7.72/2.15 % (357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.15 % (357)Termination reason: Unknown
% 7.72/2.15 % (357)Termination phase: Saturation
% 7.72/2.15
% 7.72/2.15 % (357)Memory used [KB]: 6140
% 7.72/2.15 % (357)Time elapsed: 0.166 s
% 7.72/2.15 % (357)Instructions burned: 339 (million)
% 7.72/2.15 % (357)------------------------------
% 7.72/2.15 % (357)------------------------------
% 7.72/2.16 % (360)Instruction limit reached!
% 7.72/2.16 % (360)------------------------------
% 7.72/2.16 % (360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.16 % (360)Termination reason: Unknown
% 7.72/2.16 % (360)Termination phase: Saturation
% 7.72/2.16
% 7.72/2.16 % (360)Memory used [KB]: 6396
% 7.72/2.16 % (360)Time elapsed: 0.144 s
% 7.72/2.16 % (360)Instructions burned: 298 (million)
% 7.72/2.16 % (360)------------------------------
% 7.72/2.16 % (360)------------------------------
% 7.72/2.17 % (362)Instruction limit reached!
% 7.72/2.17 % (362)------------------------------
% 7.72/2.17 % (362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.17 % (362)Termination reason: Unknown
% 7.72/2.17 % (362)Termination phase: Saturation
% 7.72/2.17
% 7.72/2.17 % (362)Memory used [KB]: 6140
% 7.72/2.17 % (362)Time elapsed: 0.078 s
% 7.72/2.17 % (362)Instructions burned: 258 (million)
% 7.72/2.17 % (362)------------------------------
% 7.72/2.17 % (362)------------------------------
% 7.72/2.17 % (365)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_32658 for (2990ds/458Mi)
% 7.72/2.18 % (366)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_32658 for (2990ds/31Mi)
% 7.72/2.18 % (363)Instruction limit reached!
% 7.72/2.18 % (363)------------------------------
% 7.72/2.18 % (363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.18 % (363)Termination reason: Unknown
% 7.72/2.18 % (363)Termination phase: Saturation
% 7.72/2.18
% 7.72/2.18 % (363)Memory used [KB]: 6012
% 7.72/2.18 % (363)Time elapsed: 0.068 s
% 7.72/2.18 % (363)Instructions burned: 90 (million)
% 7.72/2.18 % (363)------------------------------
% 7.72/2.18 % (363)------------------------------
% 7.72/2.18 % (367)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_32658 for (2990ds/297Mi)
% 7.72/2.18 % (336)Instruction limit reached!
% 7.72/2.18 % (336)------------------------------
% 7.72/2.18 % (336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.18 % (336)Termination reason: Unknown
% 7.72/2.18 % (336)Termination phase: Saturation
% 7.72/2.18
% 7.72/2.18 % (336)Memory used [KB]: 7675
% 7.72/2.18 % (336)Time elapsed: 0.484 s
% 7.72/2.18 % (336)Instructions burned: 1088 (million)
% 7.72/2.18 % (336)------------------------------
% 7.72/2.18 % (336)------------------------------
% 7.72/2.19 % (366)Instruction limit reached!
% 7.72/2.19 % (366)------------------------------
% 7.72/2.19 % (366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.19 % (366)Termination reason: Unknown
% 7.72/2.19 % (366)Termination phase: Saturation
% 7.72/2.19
% 7.72/2.19 % (366)Memory used [KB]: 5756
% 7.72/2.19 % (366)Time elapsed: 0.039 s
% 7.72/2.19 % (366)Instructions burned: 31 (million)
% 7.72/2.19 % (366)------------------------------
% 7.72/2.19 % (366)------------------------------
% 7.72/2.19 % (368)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_32658 for (2990ds/987Mi)
% 7.72/2.20 % (369)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_32658 for (2990ds/182Mi)
% 8.22/2.20 % (355)Instruction limit reached!
% 8.22/2.20 % (355)------------------------------
% 8.22/2.20 % (355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.20 % (355)Termination reason: Unknown
% 8.22/2.20 % (355)Termination phase: Saturation
% 8.22/2.20
% 8.22/2.20 % (355)Memory used [KB]: 6652
% 8.22/2.20 % (355)Time elapsed: 0.281 s
% 8.22/2.20 % (355)Instructions burned: 614 (million)
% 8.22/2.20 % (355)------------------------------
% 8.22/2.20 % (355)------------------------------
% 8.22/2.21 % (370)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_32658 for (2989ds/182Mi)
% 8.22/2.22 % (371)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_32658 for (2989ds/154Mi)
% 8.22/2.23 % (364)Instruction limit reached!
% 8.22/2.23 % (364)------------------------------
% 8.22/2.23 % (364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.23 % (364)Termination reason: Unknown
% 8.22/2.23 % (364)Termination phase: Saturation
% 8.22/2.23
% 8.22/2.23 % (364)Memory used [KB]: 6012
% 8.22/2.23 % (364)Time elapsed: 0.123 s
% 8.22/2.23 % (364)Instructions burned: 232 (million)
% 8.22/2.23 % (364)------------------------------
% 8.22/2.23 % (364)------------------------------
% 8.22/2.25 % (372)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_32658 for (2989ds/79Mi)
% 8.22/2.27 % (369)Instruction limit reached!
% 8.22/2.27 % (369)------------------------------
% 8.22/2.27 % (369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.27 % (369)Termination reason: Unknown
% 8.22/2.27 % (369)Termination phase: Saturation
% 8.22/2.27
% 8.22/2.27 % (369)Memory used [KB]: 6652
% 8.22/2.27 % (369)Time elapsed: 0.103 s
% 8.22/2.27 % (369)Instructions burned: 184 (million)
% 8.22/2.27 % (369)------------------------------
% 8.22/2.27 % (369)------------------------------
% 8.22/2.28 % (367)Instruction limit reached!
% 8.22/2.28 % (367)------------------------------
% 8.22/2.28 % (367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.28 % (367)Termination reason: Unknown
% 8.22/2.28 % (367)Termination phase: Saturation
% 8.22/2.28
% 8.22/2.28 % (367)Memory used [KB]: 6396
% 8.22/2.28 % (367)Time elapsed: 0.123 s
% 8.22/2.28 % (367)Instructions burned: 298 (million)
% 8.22/2.28 % (367)------------------------------
% 8.22/2.28 % (367)------------------------------
% 8.22/2.29 % (373)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_32658 for (2988ds/216Mi)
% 8.22/2.29 % (372)Instruction limit reached!
% 8.22/2.29 % (372)------------------------------
% 8.22/2.29 % (372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.29 % (372)Termination reason: Unknown
% 8.22/2.29 % (372)Termination phase: Saturation
% 8.22/2.29
% 8.22/2.29 % (372)Memory used [KB]: 5756
% 8.22/2.29 % (372)Time elapsed: 0.040 s
% 8.22/2.29 % (372)Instructions burned: 79 (million)
% 8.22/2.29 % (372)------------------------------
% 8.22/2.29 % (372)------------------------------
% 8.22/2.29 % (370)Instruction limit reached!
% 8.22/2.29 % (370)------------------------------
% 8.22/2.29 % (370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.29 % (370)Termination reason: Unknown
% 8.22/2.29 % (370)Termination phase: Saturation
% 8.22/2.29
% 8.22/2.29 % (370)Memory used [KB]: 6012
% 8.22/2.29 % (370)Time elapsed: 0.083 s
% 8.22/2.29 % (370)Instructions burned: 182 (million)
% 8.22/2.29 % (370)------------------------------
% 8.22/2.29 % (370)------------------------------
% 8.22/2.29 % (371)Instruction limit reached!
% 8.22/2.29 % (371)------------------------------
% 8.22/2.29 % (371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.29 % (371)Termination reason: Unknown
% 8.22/2.29 % (371)Termination phase: Saturation
% 8.22/2.29
% 8.22/2.29 % (371)Memory used [KB]: 5884
% 8.22/2.29 % (371)Time elapsed: 0.073 s
% 8.22/2.29 % (371)Instructions burned: 154 (million)
% 8.22/2.29 % (371)------------------------------
% 8.22/2.29 % (371)------------------------------
% 8.22/2.29 % (374)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_32658 for (2988ds/114Mi)
% 8.80/2.30 % (376)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_32658 for (2988ds/182Mi)
% 8.80/2.30 % (375)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_32658 for (2988ds/922Mi)
% 8.80/2.31 % (377)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_32658 for (2988ds/164Mi)
% 8.80/2.35 % (374)Instruction limit reached!
% 8.80/2.35 % (374)------------------------------
% 8.80/2.35 % (374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.80/2.35 % (374)Termination reason: Unknown
% 8.80/2.35 % (374)Termination phase: Saturation
% 8.80/2.35
% 8.80/2.35 % (374)Memory used [KB]: 6268
% 8.80/2.35 % (374)Time elapsed: 0.055 s
% 8.80/2.35 % (374)Instructions burned: 115 (million)
% 8.80/2.35 % (374)------------------------------
% 8.80/2.35 % (374)------------------------------
% 8.80/2.35 % (376)Instruction limit reached!
% 8.80/2.35 % (376)------------------------------
% 8.80/2.35 % (376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.80/2.35 % (376)Termination reason: Unknown
% 8.80/2.35 % (376)Termination phase: Saturation
% 8.80/2.35
% 8.80/2.35 % (376)Memory used [KB]: 5756
% 8.80/2.35 % (376)Time elapsed: 0.055 s
% 8.80/2.35 % (376)Instructions burned: 184 (million)
% 8.80/2.35 % (376)------------------------------
% 8.80/2.35 % (376)------------------------------
% 8.80/2.36 % (378)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_32658 for (2988ds/50Mi)
% 8.80/2.37 % (379)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_32658 for (2988ds/368Mi)
% 8.80/2.38 % (365)Instruction limit reached!
% 8.80/2.38 % (365)------------------------------
% 8.80/2.38 % (365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.80/2.38 % (365)Termination reason: Unknown
% 8.80/2.38 % (365)Termination phase: Saturation
% 8.80/2.38
% 8.80/2.38 % (365)Memory used [KB]: 6524
% 8.80/2.38 % (365)Time elapsed: 0.229 s
% 8.80/2.38 % (365)Instructions burned: 459 (million)
% 8.80/2.38 % (365)------------------------------
% 8.80/2.38 % (365)------------------------------
% 8.80/2.38 % (378)Instruction limit reached!
% 8.80/2.38 % (378)------------------------------
% 8.80/2.38 % (378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.80/2.38 % (378)Termination reason: Unknown
% 8.80/2.38 % (378)Termination phase: Saturation
% 8.80/2.38
% 8.80/2.38 % (378)Memory used [KB]: 10490
% 8.80/2.38 % (378)Time elapsed: 0.018 s
% 8.80/2.38 % (378)Instructions burned: 51 (million)
% 8.80/2.38 % (378)------------------------------
% 8.80/2.38 % (378)------------------------------
% 8.80/2.39 % (373)Instruction limit reached!
% 8.80/2.39 % (373)------------------------------
% 8.80/2.39 % (373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.80/2.39 % (373)Termination reason: Unknown
% 8.80/2.39 % (373)Termination phase: Saturation
% 8.80/2.39
% 8.80/2.39 % (373)Memory used [KB]: 6140
% 8.80/2.39 % (373)Time elapsed: 0.103 s
% 8.80/2.39 % (373)Instructions burned: 216 (million)
% 8.80/2.39 % (373)------------------------------
% 8.80/2.39 % (373)------------------------------
% 8.80/2.39 % (380)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_32658 for (2987ds/1021Mi)
% 8.80/2.39 % (377)Instruction limit reached!
% 8.80/2.39 % (377)------------------------------
% 8.80/2.39 % (377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.80/2.39 % (377)Termination reason: Unknown
% 8.80/2.39 % (377)Termination phase: Saturation
% 8.80/2.39
% 8.80/2.39 % (377)Memory used [KB]: 1535
% 8.80/2.39 % (377)Time elapsed: 0.085 s
% 8.80/2.39 % (377)Instructions burned: 166 (million)
% 8.80/2.39 % (377)------------------------------
% 8.80/2.39 % (377)------------------------------
% 8.80/2.39 % (381)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_32658 for (2987ds/267Mi)
% 9.39/2.40 % (383)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_32658 for (2987ds/204Mi)
% 9.39/2.41 % (384)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_32658 for (2987ds/26Mi)
% 9.39/2.42 % (384)Instruction limit reached!
% 9.39/2.42 % (384)------------------------------
% 9.39/2.42 % (384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.42 % (384)Termination reason: Unknown
% 9.39/2.42 % (384)Termination phase: Saturation
% 9.39/2.42
% 9.39/2.42 % (384)Memory used [KB]: 5628
% 9.39/2.42 % (384)Time elapsed: 0.014 s
% 9.39/2.42 % (384)Instructions burned: 27 (million)
% 9.39/2.42 % (384)------------------------------
% 9.39/2.42 % (384)------------------------------
% 9.39/2.44 % (386)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_32658 for (2987ds/53Mi)
% 9.39/2.46 % (386)Instruction limit reached!
% 9.39/2.46 % (386)------------------------------
% 9.39/2.46 % (386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.46 % (386)Termination reason: Unknown
% 9.39/2.46 % (386)Termination phase: Saturation
% 9.39/2.46
% 9.39/2.46 % (386)Memory used [KB]: 5756
% 9.39/2.46 % (386)Time elapsed: 0.026 s
% 9.39/2.46 % (386)Instructions burned: 53 (million)
% 9.39/2.46 % (386)------------------------------
% 9.39/2.46 % (386)------------------------------
% 9.39/2.48 % (387)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_32658 for (2987ds/4436Mi)
% 9.47/2.50 % (383)Instruction limit reached!
% 9.47/2.50 % (383)------------------------------
% 9.47/2.50 % (383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.47/2.50 % (383)Termination reason: Unknown
% 9.47/2.50 % (383)Termination phase: Saturation
% 9.47/2.50
% 9.47/2.50 % (383)Memory used [KB]: 6012
% 9.47/2.50 % (383)Time elapsed: 0.101 s
% 9.47/2.50 % (383)Instructions burned: 205 (million)
% 9.47/2.50 % (383)------------------------------
% 9.47/2.50 % (383)------------------------------
% 9.47/2.52 % (388)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_32658 for (2986ds/1539Mi)
% 9.47/2.52 % (381)Instruction limit reached!
% 9.47/2.52 % (381)------------------------------
% 9.47/2.52 % (381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.47/2.52 % (381)Termination reason: Unknown
% 9.47/2.52 % (381)Termination phase: Saturation
% 9.47/2.52
% 9.47/2.52 % (381)Memory used [KB]: 6396
% 9.47/2.52 % (381)Time elapsed: 0.130 s
% 9.47/2.52 % (381)Instructions burned: 267 (million)
% 9.47/2.52 % (381)------------------------------
% 9.47/2.52 % (381)------------------------------
% 9.47/2.54 % (389)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_32658 for (2986ds/408Mi)
% 9.47/2.55 % (379)Instruction limit reached!
% 9.47/2.55 % (379)------------------------------
% 9.47/2.55 % (379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.47/2.55 % (379)Termination reason: Unknown
% 9.47/2.55 % (379)Termination phase: Saturation
% 9.47/2.55
% 9.47/2.55 % (379)Memory used [KB]: 6780
% 9.47/2.55 % (379)Time elapsed: 0.179 s
% 9.47/2.55 % (379)Instructions burned: 369 (million)
% 9.47/2.55 % (379)------------------------------
% 9.47/2.55 % (379)------------------------------
% 9.47/2.57 % (390)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_32658 for (2986ds/5205Mi)
% 9.92/2.65 % (368)Instruction limit reached!
% 9.92/2.65 % (368)------------------------------
% 9.92/2.65 % (368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.92/2.65 % (368)Termination reason: Unknown
% 9.92/2.65 % (368)Termination phase: Saturation
% 9.92/2.65
% 9.92/2.65 % (368)Memory used [KB]: 6908
% 9.92/2.65 % (368)Time elapsed: 0.479 s
% 9.92/2.65 % (368)Instructions burned: 987 (million)
% 9.92/2.65 % (368)------------------------------
% 9.92/2.65 % (368)------------------------------
% 9.92/2.66 % (391)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_32658 for (2985ds/1913Mi)
% 9.92/2.68 % (375)Instruction limit reached!
% 9.92/2.68 % (375)------------------------------
% 9.92/2.68 % (375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.92/2.68 % (375)Termination reason: Unknown
% 9.92/2.68 % (375)Termination phase: Saturation
% 9.92/2.68
% 9.92/2.68 % (375)Memory used [KB]: 7036
% 9.92/2.68 % (375)Time elapsed: 0.379 s
% 9.92/2.68 % (375)Instructions burned: 923 (million)
% 9.92/2.68 % (375)------------------------------
% 9.92/2.68 % (375)------------------------------
% 10.78/2.70 % (392)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_32658 for (2984ds/4350Mi)
% 10.78/2.73 % (389)Instruction limit reached!
% 10.78/2.73 % (389)------------------------------
% 10.78/2.73 % (389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.78/2.73 % (389)Termination reason: Unknown
% 10.78/2.73 % (389)Termination phase: Saturation
% 10.78/2.73
% 10.78/2.73 % (389)Memory used [KB]: 6524
% 10.78/2.73 % (389)Time elapsed: 0.191 s
% 10.78/2.73 % (389)Instructions burned: 408 (million)
% 10.78/2.73 % (389)------------------------------
% 10.78/2.73 % (389)------------------------------
% 10.78/2.74 % (393)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_32658 for (2984ds/68Mi)
% 10.78/2.78 % (393)Instruction limit reached!
% 10.78/2.78 % (393)------------------------------
% 10.78/2.78 % (393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.78/2.78 % (393)Termination reason: Unknown
% 10.78/2.78 % (393)Termination phase: Saturation
% 10.78/2.78
% 10.78/2.78 % (393)Memory used [KB]: 6012
% 10.78/2.78 % (393)Time elapsed: 0.037 s
% 10.78/2.78 % (393)Instructions burned: 69 (million)
% 10.78/2.78 % (393)------------------------------
% 10.78/2.78 % (393)------------------------------
% 11.04/2.80 % (394)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_32658 for (2984ds/358Mi)
% 11.04/2.80 % (380)Instruction limit reached!
% 11.04/2.80 % (380)------------------------------
% 11.04/2.80 % (380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.04/2.80 % (380)Termination reason: Unknown
% 11.04/2.80 % (380)Termination phase: Saturation
% 11.04/2.80
% 11.04/2.80 % (380)Memory used [KB]: 7291
% 11.04/2.81 % (380)Time elapsed: 0.418 s
% 11.04/2.81 % (380)Instructions burned: 1022 (million)
% 11.04/2.81 % (380)------------------------------
% 11.04/2.81 % (380)------------------------------
% 11.04/2.82 % (395)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_32658 for (2983ds/31Mi)
% 11.04/2.84 % (395)Instruction limit reached!
% 11.04/2.84 % (395)------------------------------
% 11.04/2.84 % (395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.04/2.84 % (395)Termination reason: Unknown
% 11.04/2.84 % (395)Termination phase: Saturation
% 11.04/2.84
% 11.04/2.84 % (395)Memory used [KB]: 5756
% 11.04/2.84 % (395)Time elapsed: 0.018 s
% 11.04/2.84 % (395)Instructions burned: 32 (million)
% 11.04/2.84 % (395)------------------------------
% 11.04/2.84 % (395)------------------------------
% 11.04/2.85 % (396)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_32658 for (2983ds/279Mi)
% 11.50/2.94 % (394)Instruction limit reached!
% 11.50/2.94 % (394)------------------------------
% 11.50/2.94 % (394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.50/2.94 % (394)Termination reason: Unknown
% 11.50/2.94 % (394)Termination phase: Saturation
% 11.50/2.94
% 11.50/2.94 % (394)Memory used [KB]: 6268
% 11.50/2.94 % (394)Time elapsed: 0.157 s
% 11.50/2.94 % (394)Instructions burned: 359 (million)
% 11.50/2.94 % (394)------------------------------
% 11.50/2.94 % (394)------------------------------
% 11.50/2.96 % (396)Instruction limit reached!
% 11.50/2.96 % (396)------------------------------
% 11.50/2.96 % (396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.50/2.96 % (396)Termination reason: Unknown
% 11.50/2.96 % (396)Termination phase: Saturation
% 11.50/2.96
% 11.50/2.96 % (396)Memory used [KB]: 6140
% 11.50/2.96 % (396)Time elapsed: 0.103 s
% 11.50/2.96 % (396)Instructions burned: 280 (million)
% 11.50/2.96 % (396)------------------------------
% 11.50/2.96 % (396)------------------------------
% 11.50/2.96 % (398)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_32658 for (2982ds/258Mi)
% 11.50/2.97 % (399)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_32658 for (2982ds/26Mi)
% 11.50/2.98 % (399)Instruction limit reached!
% 11.50/2.98 % (399)------------------------------
% 11.50/2.98 % (399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.50/2.98 % (399)Termination reason: Unknown
% 11.50/2.98 % (399)Termination phase: Saturation
% 11.50/2.98
% 11.50/2.98 % (399)Memory used [KB]: 5628
% 11.50/2.98 % (399)Time elapsed: 0.014 s
% 11.50/2.98 % (399)Instructions burned: 26 (million)
% 11.50/2.98 % (399)------------------------------
% 11.50/2.98 % (399)------------------------------
% 11.50/3.00 % (400)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_32658 for (2982ds/995Mi)
% 14.00/3.05 % (398)Instruction limit reached!
% 14.00/3.05 % (398)------------------------------
% 14.00/3.05 % (398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.00/3.05 % (398)Termination reason: Unknown
% 14.00/3.05 % (398)Termination phase: Saturation
% 14.00/3.05
% 14.00/3.05 % (398)Memory used [KB]: 6268
% 14.00/3.05 % (398)Time elapsed: 0.114 s
% 14.00/3.05 % (398)Instructions burned: 258 (million)
% 14.00/3.05 % (398)------------------------------
% 14.00/3.05 % (398)------------------------------
% 14.00/3.06 % (401)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_32658 for (2981ds/373Mi)
% 15.16/3.23 % (401)Instruction limit reached!
% 15.16/3.23 % (401)------------------------------
% 15.16/3.23 % (401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.16/3.23 % (401)Termination reason: Unknown
% 15.16/3.23 % (401)Termination phase: Saturation
% 15.16/3.23
% 15.16/3.23 % (401)Memory used [KB]: 7036
% 15.16/3.23 % (401)Time elapsed: 0.170 s
% 15.16/3.23 % (401)Instructions burned: 373 (million)
% 15.16/3.23 % (401)------------------------------
% 15.16/3.23 % (401)------------------------------
% 15.16/3.24 % (388)Instruction limit reached!
% 15.16/3.24 % (388)------------------------------
% 15.16/3.24 % (388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.16/3.24 % (388)Termination reason: Unknown
% 15.16/3.24 % (388)Termination phase: Saturation
% 15.16/3.24
% 15.16/3.24 % (388)Memory used [KB]: 7931
% 15.16/3.24 % (388)Time elapsed: 0.718 s
% 15.16/3.24 % (388)Instructions burned: 1540 (million)
% 15.16/3.24 % (388)------------------------------
% 15.16/3.24 % (388)------------------------------
% 15.16/3.24 % (402)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_32658 for (2979ds/253Mi)
% 15.16/3.25 % (403)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_32658 for (2979ds/832Mi)
% 15.89/3.33 % (402)Instruction limit reached!
% 15.89/3.33 % (402)------------------------------
% 15.89/3.33 % (402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.33 % (402)Termination reason: Unknown
% 15.89/3.33 % (402)Termination phase: Saturation
% 15.89/3.33
% 15.89/3.33 % (402)Memory used [KB]: 5884
% 15.89/3.33 % (402)Time elapsed: 0.098 s
% 15.89/3.33 % (402)Instructions burned: 253 (million)
% 15.89/3.33 % (402)------------------------------
% 15.89/3.33 % (402)------------------------------
% 15.89/3.36 % (404)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_32658 for (2978ds/668Mi)
% 16.48/3.43 % (400)Refutation not found, non-redundant clauses discarded% (400)------------------------------
% 16.48/3.43 % (400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.48/3.43 % (400)Termination reason: Refutation not found, non-redundant clauses discarded
% 16.48/3.43
% 16.48/3.43 % (400)Memory used [KB]: 6396
% 16.48/3.43 % (400)Time elapsed: 0.431 s
% 16.48/3.43 % (400)Instructions burned: 964 (million)
% 16.48/3.43 % (400)------------------------------
% 16.48/3.43 % (400)------------------------------
% 16.48/3.43 % (391)Instruction limit reached!
% 16.48/3.43 % (391)------------------------------
% 16.48/3.43 % (391)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.48/3.43 % (391)Termination reason: Unknown
% 16.48/3.43 % (391)Termination phase: Saturation
% 16.48/3.43
% 16.48/3.43 % (391)Memory used [KB]: 3454
% 16.48/3.43 % (391)Time elapsed: 0.776 s
% 16.48/3.43 % (391)Instructions burned: 1915 (million)
% 16.48/3.43 % (391)------------------------------
% 16.48/3.43 % (391)------------------------------
% 16.48/3.44 % (406)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_32658 for (2977ds/294Mi)
% 16.48/3.45 % (405)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_32658 for (2977ds/40Mi)
% 16.48/3.47 % (405)Instruction limit reached!
% 16.48/3.47 % (405)------------------------------
% 16.48/3.47 % (405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.48/3.47 % (405)Termination reason: Unknown
% 16.48/3.47 % (405)Termination phase: Saturation
% 16.48/3.47
% 16.48/3.47 % (405)Memory used [KB]: 5756
% 16.48/3.47 % (405)Time elapsed: 0.021 s
% 16.48/3.47 % (405)Instructions burned: 41 (million)
% 16.48/3.47 % (405)------------------------------
% 16.48/3.47 % (405)------------------------------
% 16.48/3.48 % (407)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_32658 for (2977ds/187Mi)
% 16.90/3.56 % (407)Instruction limit reached!
% 16.90/3.56 % (407)------------------------------
% 16.90/3.56 % (407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.90/3.56 % (407)Termination reason: Unknown
% 16.90/3.56 % (407)Termination phase: Saturation
% 16.90/3.56
% 16.90/3.56 % (407)Memory used [KB]: 6652
% 16.90/3.56 % (407)Time elapsed: 0.082 s
% 16.90/3.56 % (407)Instructions burned: 188 (million)
% 16.90/3.56 % (407)------------------------------
% 16.90/3.56 % (407)------------------------------
% 16.90/3.57 % (406)Instruction limit reached!
% 16.90/3.57 % (406)------------------------------
% 16.90/3.57 % (406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.90/3.57 % (406)Termination reason: Unknown
% 16.90/3.57 % (406)Termination phase: Saturation
% 16.90/3.57
% 16.90/3.57 % (406)Memory used [KB]: 6524
% 16.90/3.57 % (406)Time elapsed: 0.128 s
% 16.90/3.57 % (406)Instructions burned: 295 (million)
% 16.90/3.57 % (406)------------------------------
% 16.90/3.57 % (406)------------------------------
% 16.90/3.58 % (408)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_32658 for (2976ds/371Mi)
% 16.90/3.59 % (409)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_32658 for (2976ds/1827Mi)
% 17.44/3.62 % (403)Instruction limit reached!
% 17.44/3.62 % (403)------------------------------
% 17.44/3.62 % (403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.44/3.62 % (403)Termination reason: Unknown
% 17.44/3.62 % (403)Termination phase: Saturation
% 17.44/3.62
% 17.44/3.62 % (403)Memory used [KB]: 6524
% 17.44/3.62 % (403)Time elapsed: 0.373 s
% 17.44/3.62 % (403)Instructions burned: 833 (million)
% 17.44/3.62 % (403)------------------------------
% 17.44/3.62 % (403)------------------------------
% 17.44/3.64 % (410)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_32658 for (2975ds/70Mi)
% 17.44/3.67 % (404)Instruction limit reached!
% 17.44/3.67 % (404)------------------------------
% 17.44/3.67 % (404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.44/3.67 % (404)Termination reason: Unknown
% 17.44/3.67 % (404)Termination phase: Saturation
% 17.44/3.67
% 17.44/3.67 % (404)Memory used [KB]: 11513
% 17.44/3.67 % (404)Time elapsed: 0.325 s
% 17.44/3.67 % (404)Instructions burned: 668 (million)
% 17.44/3.67 % (404)------------------------------
% 17.44/3.67 % (404)------------------------------
% 17.44/3.67 % (410)Instruction limit reached!
% 17.44/3.67 % (410)------------------------------
% 17.44/3.67 % (410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.44/3.67 % (410)Termination reason: Unknown
% 17.44/3.67 % (410)Termination phase: Saturation
% 17.44/3.67
% 17.44/3.67 % (410)Memory used [KB]: 1663
% 17.44/3.67 % (410)Time elapsed: 0.056 s
% 17.44/3.67 % (410)Instructions burned: 71 (million)
% 17.44/3.67 % (410)------------------------------
% 17.44/3.67 % (410)------------------------------
% 17.44/3.68 % (411)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_32658 for (2975ds/316Mi)
% 17.44/3.69 % (412)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_32658 for (2975ds/932Mi)
% 18.47/3.72 % (408)Instruction limit reached!
% 18.47/3.72 % (408)------------------------------
% 18.47/3.72 % (408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.47/3.72 % (408)Termination reason: Unknown
% 18.47/3.72 % (408)Termination phase: Saturation
% 18.47/3.72
% 18.47/3.72 % (408)Memory used [KB]: 6652
% 18.47/3.72 % (408)Time elapsed: 0.143 s
% 18.47/3.72 % (408)Instructions burned: 373 (million)
% 18.47/3.72 % (408)------------------------------
% 18.47/3.72 % (408)------------------------------
% 18.47/3.73 % (413)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_32658 for (2974ds/4714Mi)
% 18.92/3.83 % (411)Instruction limit reached!
% 18.92/3.83 % (411)------------------------------
% 18.92/3.83 % (411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.92/3.83 % (411)Termination reason: Unknown
% 18.92/3.83 % (411)Termination phase: Saturation
% 18.92/3.83
% 18.92/3.83 % (411)Memory used [KB]: 6396
% 18.92/3.83 % (411)Time elapsed: 0.173 s
% 18.92/3.83 % (411)Instructions burned: 317 (million)
% 18.92/3.83 % (411)------------------------------
% 18.92/3.83 % (411)------------------------------
% 18.92/3.85 % (414)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_32658 for (2973ds/8250Mi)
% 21.74/4.13 % (412)Instruction limit reached!
% 21.74/4.13 % (412)------------------------------
% 21.74/4.13 % (412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.74/4.13 % (412)Termination reason: Unknown
% 21.74/4.13 % (412)Termination phase: Saturation
% 21.74/4.13
% 21.74/4.13 % (412)Memory used [KB]: 8187
% 21.74/4.13 % (412)Time elapsed: 0.463 s
% 21.74/4.13 % (412)Instructions burned: 933 (million)
% 21.74/4.13 % (412)------------------------------
% 21.74/4.13 % (412)------------------------------
% 21.74/4.14 % (419)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_32658 for (2970ds/770Mi)
% 22.18/4.29 % (409)Instruction limit reached!
% 22.18/4.29 % (409)------------------------------
% 22.18/4.29 % (409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.18/4.29 % (409)Termination reason: Unknown
% 22.18/4.29 % (409)Termination phase: Saturation
% 22.18/4.29
% 22.18/4.29 % (409)Memory used [KB]: 8059
% 22.18/4.29 % (409)Time elapsed: 0.727 s
% 22.18/4.29 % (409)Instructions burned: 1827 (million)
% 22.18/4.29 % (409)------------------------------
% 22.18/4.29 % (409)------------------------------
% 22.77/4.31 % (423)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_32658 for (2968ds/794Mi)
% 23.27/4.47 % (387)Instruction limit reached!
% 23.27/4.47 % (387)------------------------------
% 23.27/4.47 % (387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.27/4.47 % (387)Termination reason: Unknown
% 23.27/4.47 % (387)Termination phase: Saturation
% 23.27/4.47
% 23.27/4.47 % (387)Memory used [KB]: 12537
% 23.27/4.47 % (387)Time elapsed: 1.999 s
% 23.27/4.47 % (387)Instructions burned: 4437 (million)
% 23.27/4.47 % (387)------------------------------
% 23.27/4.47 % (387)------------------------------
% 23.27/4.49 % (427)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_32658 for (2966ds/464Mi)
% 23.76/4.51 % (419)Instruction limit reached!
% 23.76/4.51 % (419)------------------------------
% 23.76/4.51 % (419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.76/4.51 % (419)Termination reason: Unknown
% 23.76/4.51 % (419)Termination phase: Saturation
% 23.76/4.51
% 23.76/4.51 % (419)Memory used [KB]: 6908
% 23.76/4.51 % (419)Time elapsed: 0.372 s
% 23.76/4.51 % (419)Instructions burned: 771 (million)
% 23.76/4.51 % (419)------------------------------
% 23.76/4.51 % (419)------------------------------
% 23.76/4.53 % (428)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_32658 for (2966ds/1376Mi)
% 24.54/4.61 % (392)Instruction limit reached!
% 24.54/4.61 % (392)------------------------------
% 24.54/4.61 % (392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.54/4.61 % (392)Termination reason: Unknown
% 24.54/4.61 % (392)Termination phase: Saturation
% 24.54/4.61
% 24.54/4.61 % (392)Memory used [KB]: 10618
% 24.54/4.61 % (392)Time elapsed: 1.903 s
% 24.54/4.61 % (392)Instructions burned: 4350 (million)
% 24.54/4.61 % (392)------------------------------
% 24.54/4.61 % (392)------------------------------
% 24.54/4.63 % (429)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_32658 for (2965ds/906Mi)
% 24.54/4.63 % (423)Instruction limit reached!
% 24.54/4.63 % (423)------------------------------
% 24.54/4.63 % (423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.54/4.63 % (423)Termination reason: Unknown
% 24.54/4.63 % (423)Termination phase: Saturation
% 24.54/4.63
% 24.54/4.63 % (423)Memory used [KB]: 2814
% 24.54/4.63 % (423)Time elapsed: 0.326 s
% 24.54/4.63 % (423)Instructions burned: 796 (million)
% 24.54/4.63 % (423)------------------------------
% 24.54/4.63 % (423)------------------------------
% 24.54/4.65 % (430)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_32658 for (2965ds/434Mi)
% 24.54/4.67 % (427)Instruction limit reached!
% 24.54/4.67 % (427)------------------------------
% 24.54/4.67 % (427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.54/4.67 % (427)Termination reason: Unknown
% 24.54/4.67 % (427)Termination phase: Saturation
% 24.54/4.67
% 24.54/4.67 % (427)Memory used [KB]: 6268
% 24.54/4.67 % (427)Time elapsed: 0.184 s
% 24.54/4.67 % (427)Instructions burned: 465 (million)
% 24.54/4.67 % (427)------------------------------
% 24.54/4.67 % (427)------------------------------
% 24.54/4.68 % (431)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_32658 for (2965ds/865Mi)
% 25.70/4.80 % (390)Instruction limit reached!
% 25.70/4.80 % (390)------------------------------
% 25.70/4.80 % (390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.70/4.80 % (390)Termination reason: Unknown
% 25.70/4.80 % (390)Termination phase: Saturation
% 25.70/4.80
% 25.70/4.80 % (390)Memory used [KB]: 13048
% 25.70/4.80 % (390)Time elapsed: 2.224 s
% 25.70/4.80 % (390)Instructions burned: 5207 (million)
% 25.70/4.80 % (390)------------------------------
% 25.70/4.80 % (390)------------------------------
% 25.70/4.81 % (432)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_32658 for (2963ds/593Mi)
% 25.70/4.85 % (430)Refutation not found, non-redundant clauses discarded% (430)------------------------------
% 25.70/4.85 % (430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.70/4.85 % (430)Termination reason: Refutation not found, non-redundant clauses discarded
% 25.70/4.85
% 25.70/4.85 % (430)Memory used [KB]: 6396
% 25.70/4.85 % (430)Time elapsed: 0.208 s
% 25.70/4.85 % (430)Instructions burned: 431 (million)
% 25.70/4.85 % (430)------------------------------
% 25.70/4.85 % (430)------------------------------
% 25.70/4.88 % (433)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_32658 for (2963ds/443Mi)
% 26.13/4.92 % (432)First to succeed.
% 26.13/4.93 % (432)Refutation found. Thanks to Tanya!
% 26.13/4.93 % SZS status Theorem for DTF2THF_32658
% 26.13/4.93 % SZS output start Proof for DTF2THF_32658
% 26.13/4.93 thf(type_def_5, type, a: $tType).
% 26.13/4.93 thf(func_def_0, type, a: $tType).
% 26.13/4.93 thf(func_def_16, type, sK1: a > a > $o).
% 26.13/4.93 thf(func_def_17, type, sK2: (a > $o) > a).
% 26.13/4.93 thf(func_def_18, type, sK3: (a > $o) > a > a).
% 26.13/4.93 thf(func_def_19, type, sK4: a > a).
% 26.13/4.93 thf(func_def_20, type, ph5: !>[X0: $tType]:(X0)).
% 26.13/4.93 thf(f941,plain,(
% 26.13/4.93 $false),
% 26.13/4.93 inference(avatar_sat_refutation,[status(thm)],[f882,f921,f940])).
% 26.13/4.93 thf(f940,plain,(
% 26.13/4.93 ~spl0_1 | spl0_2),
% 26.13/4.93 inference(avatar_contradiction_clause,[status(thm)],[f939])).
% 26.13/4.93 thf(f939,plain,(
% 26.13/4.93 $false | (~spl0_1 | spl0_2)),
% 26.13/4.93 inference(subsumption_resolution,[status(thm)],[f934,f813])).
% 26.13/4.93 thf(f813,plain,(
% 26.13/4.93 ($false != (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | spl0_2),
% 26.13/4.93 inference(avatar_component_clause,[status(thm)],[f812])).
% 26.13/4.93 thf(f812,definition,(
% 26.13/4.93 spl0_2 <=> ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))),
% 26.13/4.93 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 26.13/4.93 thf(f934,plain,(
% 26.13/4.93 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_1),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f931])).
% 26.13/4.93 thf(f931,plain,(
% 26.13/4.93 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ($true = $false) | ~spl0_1),
% 26.13/4.93 inference(superposition,[status(thm)],[f65,f810])).
% 26.13/4.93 thf(f810,plain,(
% 26.13/4.93 ($false = (sK1 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))) @ (sK4 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | ~spl0_1),
% 26.13/4.93 inference(avatar_component_clause,[status(thm)],[f808])).
% 26.13/4.93 thf(f808,definition,(
% 26.13/4.93 spl0_1 <=> ($false = (sK1 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))) @ (sK4 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))))),
% 26.13/4.93 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 26.13/4.93 thf(f65,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a] : (($true = (sK1 @ (sK4 @ X1) @ (sK4 @ X2))) | ($false = (sK1 @ X1 @ X2))) )),
% 26.13/4.93 inference(not_proxy_clausification,[status(thm)],[f64])).
% 26.13/4.93 thf(f64,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a] : (($false = (~ (sK1 @ (sK4 @ X1) @ (sK4 @ X2)))) | ($false = (sK1 @ X1 @ X2))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f63])).
% 26.13/4.93 thf(f63,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a] : ((((sK1 @ X1 @ X2) & (~ (sK1 @ (sK4 @ X1) @ (sK4 @ X2)))) = $false)) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f62])).
% 26.13/4.93 thf(f62,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a] : (($false = ((^[Y0 : a]: ((sK1 @ X1 @ Y0) & (~ (sK1 @ (sK4 @ X1) @ (sK4 @ Y0))))) @ X2))) )),
% 26.13/4.93 inference(pi_clausification,[status(thm)],[f61])).
% 26.13/4.93 thf(f61,plain,(
% 26.13/4.93 ( ! [X1 : a] : (((?? @ a @ (^[Y0 : a]: ((sK1 @ X1 @ Y0) & (~ (sK1 @ (sK4 @ X1) @ (sK4 @ Y0)))))) = $false)) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f60])).
% 26.13/4.93 thf(f60,plain,(
% 26.13/4.93 ( ! [X1 : a] : (($false = ((^[Y0 : a]: (?? @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) & (~ (sK1 @ (sK4 @ Y0) @ (sK4 @ Y1))))))) @ X1))) )),
% 26.13/4.93 inference(pi_clausification,[status(thm)],[f58])).
% 26.13/4.93 thf(f58,plain,(
% 26.13/4.93 ($false = (?? @ a @ (^[Y0 : a]: (?? @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) & (~ (sK1 @ (sK4 @ Y0) @ (sK4 @ Y1)))))))))),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f57])).
% 26.13/4.93 thf(f57,plain,(
% 26.13/4.93 ($false = ((?? @ a @ (^[Y0 : a]: ((sK1 @ Y0 @ (sK4 @ Y0)) & (sK1 @ (sK4 @ Y0) @ Y0)))) | (?? @ a @ (^[Y0 : a]: (?? @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) & (~ (sK1 @ (sK4 @ Y0) @ (sK4 @ Y1))))))))))),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f56])).
% 26.13/4.93 thf(f56,plain,(
% 26.13/4.93 ($false = ((^[Y0 : a > a]: ((?? @ a @ (^[Y1 : a]: ((sK1 @ Y1 @ (Y0 @ Y1)) & (sK1 @ (Y0 @ Y1) @ Y1)))) | (?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) & (~ (sK1 @ (Y0 @ Y1) @ (Y0 @ Y2)))))))))) @ sK4))),
% 26.13/4.93 inference(sigma_clausification,[status(thm)],[f45])).
% 26.13/4.93 thf(f45,plain,(
% 26.13/4.93 ($false = (!! @ (a > a) @ (^[Y0 : a > a]: ((?? @ a @ (^[Y1 : a]: ((sK1 @ Y1 @ (Y0 @ Y1)) & (sK1 @ (Y0 @ Y1) @ Y1)))) | (?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) & (~ (sK1 @ (Y0 @ Y1) @ (Y0 @ Y2))))))))))))),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 26.13/4.93 thf(f22,plain,(
% 26.13/4.93 ($false = ((?? @ a @ (^[Y0 : a]: (?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y1) & (~ (sK1 @ Y0 @ Y2))) & (sK1 @ Y1 @ Y2)))))))) | (!! @ (a > a) @ (^[Y0 : a > a]: ((?? @ a @ (^[Y1 : a]: ((sK1 @ Y1 @ (Y0 @ Y1)) & (sK1 @ (Y0 @ Y1) @ Y1)))) | (?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) & (~ (sK1 @ (Y0 @ Y1) @ (Y0 @ Y2)))))))))))))),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f20])).
% 26.13/4.93 thf(f20,plain,(
% 26.13/4.93 ((((?? @ a @ (^[Y0 : a]: (?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y1) & (~ (sK1 @ Y0 @ Y2))) & (sK1 @ Y1 @ Y2)))))))) | (!! @ (a > a) @ (^[Y0 : a > a]: ((?? @ a @ (^[Y1 : a]: ((sK1 @ Y1 @ (Y0 @ Y1)) & (sK1 @ (Y0 @ Y1) @ Y1)))) | (?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) & (~ (sK1 @ (Y0 @ Y1) @ (Y0 @ Y2)))))))))))) | (?? @ (a > $o) @ (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((((~ (Y0 @ Y2)) | (sK1 @ Y2 @ Y1)) | (~ (Y0 @ Y2))) | (sK1 @ Y2 @ Y1)))) & (~ (sK1 @ (sK2 @ Y0) @ Y1))))) | (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & (~ (sK1 @ Y1 @ (sK2 @ Y0)))))))))) = $false)),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f19])).
% 26.13/4.93 thf(f19,plain,(
% 26.13/4.93 ($false = ((^[Y0 : (a > $o) > a]: (((?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (((sK1 @ Y1 @ Y2) & (~ (sK1 @ Y1 @ Y3))) & (sK1 @ Y2 @ Y3)))))))) | (!! @ (a > a) @ (^[Y1 : a > a]: ((?? @ a @ (^[Y2 : a]: ((sK1 @ Y2 @ (Y1 @ Y2)) & (sK1 @ (Y1 @ Y2) @ Y2)))) | (?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) & (~ (sK1 @ (Y1 @ Y2) @ (Y1 @ Y3)))))))))))) | (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((((~ (Y1 @ Y3)) | (sK1 @ Y3 @ Y2)) | (~ (Y1 @ Y3))) | (sK1 @ Y3 @ Y2)))) & (~ (sK1 @ (Y0 @ Y1) @ Y2))))) | (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & (~ (sK1 @ Y2 @ (Y0 @ Y1))))))))))) @ sK2))),
% 26.13/4.93 inference(sigma_clausification,[status(thm)],[f18])).
% 26.13/4.93 thf(f18,plain,(
% 26.13/4.93 ($false = (!! @ ((a > $o) > a) @ (^[Y0 : (a > $o) > a]: (((?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (((sK1 @ Y1 @ Y2) & (~ (sK1 @ Y1 @ Y3))) & (sK1 @ Y2 @ Y3)))))))) | (!! @ (a > a) @ (^[Y1 : a > a]: ((?? @ a @ (^[Y2 : a]: ((sK1 @ Y2 @ (Y1 @ Y2)) & (sK1 @ (Y1 @ Y2) @ Y2)))) | (?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) & (~ (sK1 @ (Y1 @ Y2) @ (Y1 @ Y3)))))))))))) | (?? @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((((~ (Y1 @ Y3)) | (sK1 @ Y3 @ Y2)) | (~ (Y1 @ Y3))) | (sK1 @ Y3 @ Y2)))) & (~ (sK1 @ (Y0 @ Y1) @ Y2))))) | (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & (~ (sK1 @ Y2 @ (Y0 @ Y1)))))))))))))),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f17])).
% 26.13/4.93 thf(f17,plain,(
% 26.13/4.93 ($false = ((^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y3) & (~ (Y0 @ Y2 @ Y4))) & (Y0 @ Y3 @ Y4)))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: ((Y0 @ Y3 @ (Y2 @ Y3)) & (Y0 @ (Y2 @ Y3) @ Y3)))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) & (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & (~ (Y0 @ (Y1 @ Y2) @ Y3))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))) @ sK1))),
% 26.13/4.93 inference(sigma_clausification,[status(thm)],[f16])).
% 26.13/4.93 thf(f16,plain,(
% 26.13/4.93 ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y3) & (~ (Y0 @ Y2 @ Y4))) & (Y0 @ Y3 @ Y4)))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: ((Y0 @ Y3 @ (Y2 @ Y3)) & (Y0 @ (Y2 @ Y3) @ Y3)))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) & (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & (~ (Y0 @ (Y1 @ Y2) @ Y3))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2)))))))))))))))),
% 26.13/4.93 inference(not_proxy_clausification,[status(thm)],[f15])).
% 26.13/4.93 thf(f15,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y3) & (~ (Y0 @ Y2 @ Y4))) & (Y0 @ Y3 @ Y4)))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: ((Y0 @ Y3 @ (Y2 @ Y3)) & (Y0 @ (Y2 @ Y3) @ Y3)))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) & (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & (~ (Y0 @ (Y1 @ Y2) @ Y3))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))))))),
% 26.13/4.93 inference(boolean_simplification,[status(thm)],[f14])).
% 26.13/4.93 thf(f14,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & (~ (Y0 @ Y2 @ Y4))) & (Y0 @ Y3 @ Y4)))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: ((Y0 @ Y3 @ (Y2 @ Y3)) & (Y0 @ (Y2 @ Y3) @ Y3)))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) & (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & (~ (Y0 @ (Y1 @ Y2) @ Y3))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))))))),
% 26.13/4.93 inference(boolean_simplification,[status(thm)],[f13])).
% 26.13/4.93 thf(f13,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & ((~ (Y0 @ Y2 @ Y4)) | (~ (Y0 @ Y2 @ Y4)))) & (Y0 @ Y3 @ Y4)))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: ((Y0 @ Y3 @ (Y2 @ Y3)) & (Y0 @ (Y2 @ Y3) @ Y3)))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) & (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & (~ (Y0 @ (Y1 @ Y2) @ Y3))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))))))),
% 26.13/4.93 inference(boolean_simplification,[status(thm)],[f12])).
% 26.13/4.93 thf(f12,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & ((~ (Y0 @ Y2 @ Y4)) | (~ (Y0 @ Y2 @ Y4)))) & (Y0 @ Y3 @ Y4)))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ (Y2 @ Y3)) | (Y0 @ Y3 @ (Y2 @ Y3))) & (Y0 @ (Y2 @ Y3) @ Y3)))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) & (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & (~ (Y0 @ (Y1 @ Y2) @ Y3))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))))))),
% 26.13/4.93 inference(boolean_simplification,[status(thm)],[f11])).
% 26.13/4.93 thf(f11,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & ((~ (Y0 @ Y2 @ Y4)) | (~ (Y0 @ Y2 @ Y4)))) & (Y0 @ Y3 @ Y4)))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ (Y2 @ Y3)) | (Y0 @ Y3 @ (Y2 @ Y3))) & ((Y0 @ (Y2 @ Y3) @ Y3) | (Y0 @ (Y2 @ Y3) @ Y3))))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) & (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & (~ (Y0 @ (Y1 @ Y2) @ Y3))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))))))),
% 26.13/4.93 inference(boolean_simplification,[status(thm)],[f10])).
% 26.13/4.93 thf(f10,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & ((~ (Y0 @ Y2 @ Y4)) | (~ (Y0 @ Y2 @ Y4)))) & ((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4))))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ (Y2 @ Y3)) | (Y0 @ Y3 @ (Y2 @ Y3))) & ((Y0 @ (Y2 @ Y3) @ Y3) | (Y0 @ (Y2 @ Y3) @ Y3))))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: (((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4)) & (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & (~ (Y0 @ (Y1 @ Y2) @ Y3))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))))))),
% 26.13/4.93 inference(boolean_simplification,[status(thm)],[f9])).
% 26.13/4.93 thf(f9,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & ((~ (Y0 @ Y2 @ Y4)) | (~ (Y0 @ Y2 @ Y4)))) & ((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4))))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ (Y2 @ Y3)) | (Y0 @ Y3 @ (Y2 @ Y3))) & ((Y0 @ (Y2 @ Y3) @ Y3) | (Y0 @ (Y2 @ Y3) @ Y3))))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: (((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4)) & ((~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))) | (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & (~ (Y0 @ (Y1 @ Y2) @ Y3))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))))))),
% 26.13/4.93 inference(boolean_simplification,[status(thm)],[f8])).
% 26.13/4.93 thf(f8,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & ((~ (Y0 @ Y2 @ Y4)) | (~ (Y0 @ Y2 @ Y4)))) & ((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4))))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ (Y2 @ Y3)) | (Y0 @ Y3 @ (Y2 @ Y3))) & ((Y0 @ (Y2 @ Y3) @ Y3) | (Y0 @ (Y2 @ Y3) @ Y3))))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: (((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4)) & ((~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))) | (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & ((~ (Y0 @ (Y1 @ Y2) @ Y3)) | (~ (Y0 @ (Y1 @ Y2) @ Y3)))))) | (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))))))),
% 26.13/4.93 inference(boolean_simplification,[status(thm)],[f7])).
% 26.13/4.93 thf(f7,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & ((~ (Y0 @ Y2 @ Y4)) | (~ (Y0 @ Y2 @ Y4)))) & ((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4))))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ (Y2 @ Y3)) | (Y0 @ Y3 @ (Y2 @ Y3))) & ((Y0 @ (Y2 @ Y3) @ Y3) | (Y0 @ (Y2 @ Y3) @ Y3))))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: (((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4)) & ((~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))) | (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & ((~ (Y0 @ (Y1 @ Y2) @ Y3)) | (~ (Y0 @ (Y1 @ Y2) @ Y3)))))) | (?? @ a @ (^[Y3 : a]: (((Y2 @ Y3) | (Y2 @ Y3)) & (~ (Y0 @ Y3 @ (Y1 @ Y2))))))))))))))))),
% 26.13/4.93 inference(boolean_simplification,[status(thm)],[f6])).
% 26.13/4.93 thf(f6,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & ((~ (Y0 @ Y2 @ Y4)) | (~ (Y0 @ Y2 @ Y4)))) & ((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4))))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ (Y2 @ Y3)) | (Y0 @ Y3 @ (Y2 @ Y3))) & ((Y0 @ (Y2 @ Y3) @ Y3) | (Y0 @ (Y2 @ Y3) @ Y3))))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: (((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4)) & ((~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))) | (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & ((~ (Y0 @ (Y1 @ Y2) @ Y3)) | (~ (Y0 @ (Y1 @ Y2) @ Y3)))))) | (?? @ a @ (^[Y3 : a]: (((Y2 @ Y3) | (Y2 @ Y3)) & ((~ (Y0 @ Y3 @ (Y1 @ Y2))) | (~ (Y0 @ Y3 @ (Y1 @ Y2)))))))))))))))))),
% 26.13/4.93 inference(cnf_transformation,[status(thm)],[f5])).
% 26.13/4.93 thf(f5,plain,(
% 26.13/4.93 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((?? @ a @ (^[Y2 : a]: (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: ((((Y0 @ Y2 @ Y3) | (Y0 @ Y2 @ Y3)) & ((~ (Y0 @ Y2 @ Y4)) | (~ (Y0 @ Y2 @ Y4)))) & ((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4))))))))) | (!! @ (a > a) @ (^[Y2 : a > a]: ((?? @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ (Y2 @ Y3)) | (Y0 @ Y3 @ (Y2 @ Y3))) & ((Y0 @ (Y2 @ Y3) @ Y3) | (Y0 @ (Y2 @ Y3) @ Y3))))) | (?? @ a @ (^[Y3 : a]: (?? @ a @ (^[Y4 : a]: (((Y0 @ Y3 @ Y4) | (Y0 @ Y3 @ Y4)) & ((~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))) | (~ (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))))))))) | (?? @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((((~ (Y2 @ Y4)) | (Y0 @ Y4 @ Y3)) | (~ (Y2 @ Y4))) | (Y0 @ Y4 @ Y3)))) & ((~ (Y0 @ (Y1 @ Y2) @ Y3)) | (~ (Y0 @ (Y1 @ Y2) @ Y3)))))) | (?? @ a @ (^[Y3 : a]: (((Y2 @ Y3) | (Y2 @ Y3)) & ((~ (Y0 @ Y3 @ (Y1 @ Y2))) | (~ (Y0 @ Y3 @ (Y1 @ Y2)))))))))))))))))),
% 26.13/4.93 inference(fool_elimination,[status(thm)],[f4])).
% 26.13/4.93 thf(f4,plain,(
% 26.13/4.93 ~! [X0 : (a > $o) > a,X1 : a > a > $o] : (? [X2 : a > $o] : (? [X3 : a] : ((~(X1 @ X3 @ (X0 @ X2)) | ~(X1 @ X3 @ (X0 @ X2))) & ((X2 @ X3) | (X2 @ X3))) | ? [X4 : a] : ((~(X1 @ (X0 @ X2) @ X4) | ~(X1 @ (X0 @ X2) @ X4)) & ! [X5 : a] : ((X1 @ X5 @ X4) | ~(X2 @ X5) | (X1 @ X5 @ X4) | ~(X2 @ X5)))) | ! [X6 : a > a] : (? [X7 : a,X8 : a] : ((~(X1 @ (X6 @ X8) @ (X6 @ X7)) | ~(X1 @ (X6 @ X8) @ (X6 @ X7))) & ((X1 @ X8 @ X7) | (X1 @ X8 @ X7))) | ? [X9 : a] : (((X1 @ (X6 @ X9) @ X9) | (X1 @ (X6 @ X9) @ X9)) & ((X1 @ X9 @ (X6 @ X9)) | (X1 @ X9 @ (X6 @ X9))))) | ? [X10 : a,X11 : a,X12 : a] : (((X1 @ X11 @ X10) | (X1 @ X11 @ X10)) & (~(X1 @ X12 @ X10) | ~(X1 @ X12 @ X10)) & ((X1 @ X12 @ X11) | (X1 @ X12 @ X11))))),
% 26.13/4.93 inference(rectify,[status(thm)],[f2])).
% 26.13/4.93 thf(f2,negated_conjecture,(
% 26.13/4.93 ~! [X1 : (a > $o) > a,X0 : a > a > $o] : (? [X5 : a > $o] : (? [X6 : a] : ((~(X0 @ X6 @ (X1 @ X5)) | ~(X0 @ X6 @ (X1 @ X5))) & ((X5 @ X6) | (X5 @ X6))) | ? [X7 : a] : ((~(X0 @ (X1 @ X5) @ X7) | ~(X0 @ (X1 @ X5) @ X7)) & ! [X8 : a] : ((X0 @ X8 @ X7) | ~(X5 @ X8) | (X0 @ X8 @ X7) | ~(X5 @ X8)))) | ! [X9 : a > a] : (? [X11 : a,X10 : a] : ((~(X0 @ (X9 @ X10) @ (X9 @ X11)) | ~(X0 @ (X9 @ X10) @ (X9 @ X11))) & ((X0 @ X10 @ X11) | (X0 @ X10 @ X11))) | ? [X12 : a] : (((X0 @ (X9 @ X12) @ X12) | (X0 @ (X9 @ X12) @ X12)) & ((X0 @ X12 @ (X9 @ X12)) | (X0 @ X12 @ (X9 @ X12))))) | ? [X4 : a,X3 : a,X2 : a] : (((X0 @ X3 @ X4) | (X0 @ X3 @ X4)) & (~(X0 @ X2 @ X4) | ~(X0 @ X2 @ X4)) & ((X0 @ X2 @ X3) | (X0 @ X2 @ X3))))),
% 26.13/4.93 inference(negated_conjecture,[status(cth)],[f1])).
% 26.13/4.93 thf(f1,conjecture,(
% 26.13/4.93 ! [X1 : (a > $o) > a,X0 : a > a > $o] : (? [X5 : a > $o] : (? [X6 : a] : ((~(X0 @ X6 @ (X1 @ X5)) | ~(X0 @ X6 @ (X1 @ X5))) & ((X5 @ X6) | (X5 @ X6))) | ? [X7 : a] : ((~(X0 @ (X1 @ X5) @ X7) | ~(X0 @ (X1 @ X5) @ X7)) & ! [X8 : a] : ((X0 @ X8 @ X7) | ~(X5 @ X8) | (X0 @ X8 @ X7) | ~(X5 @ X8)))) | ! [X9 : a > a] : (? [X11 : a,X10 : a] : ((~(X0 @ (X9 @ X10) @ (X9 @ X11)) | ~(X0 @ (X9 @ X10) @ (X9 @ X11))) & ((X0 @ X10 @ X11) | (X0 @ X10 @ X11))) | ? [X12 : a] : (((X0 @ (X9 @ X12) @ X12) | (X0 @ (X9 @ X12) @ X12)) & ((X0 @ X12 @ (X9 @ X12)) | (X0 @ X12 @ (X9 @ X12))))) | ? [X4 : a,X3 : a,X2 : a] : (((X0 @ X3 @ X4) | (X0 @ X3 @ X4)) & (~(X0 @ X2 @ X4) | ~(X0 @ X2 @ X4)) & ((X0 @ X2 @ X3) | (X0 @ X2 @ X3))))),
% 26.13/4.93 file('/export/starexec/sandbox2/tmp/tmp.m9DYQkRnWt/DTF2THF_32658.p',cT145_DOUBLE)).
% 26.13/4.93 thf(f921,plain,(
% 26.13/4.93 spl0_1 | spl0_2),
% 26.13/4.93 inference(avatar_split_clause,[status(thm)],[f920,f812,f808])).
% 26.13/4.93 thf(f920,plain,(
% 26.13/4.93 ($false = (sK1 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))) @ (sK4 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | spl0_2),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f919])).
% 26.13/4.93 thf(f919,plain,(
% 26.13/4.93 ($false = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | spl0_2),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f904])).
% 26.13/4.93 thf(f904,plain,(
% 26.13/4.93 ($false != $false) | ($false = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | spl0_2),
% 26.13/4.93 inference(superposition,[status(thm)],[f813,f79])).
% 26.13/4.93 thf(f79,plain,(
% 26.13/4.93 ( ! [X0 : a > $o] : (($false = (sK1 @ (sK2 @ X0) @ (sK4 @ (sK2 @ X0)))) | ($false = (X0 @ (sK4 @ (sK2 @ X0))))) )),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f74])).
% 26.13/4.93 thf(f74,plain,(
% 26.13/4.93 ( ! [X0 : a > $o] : (($true = $false) | ($false = (sK1 @ (sK2 @ X0) @ (sK4 @ (sK2 @ X0)))) | ($false = (X0 @ (sK4 @ (sK2 @ X0))))) )),
% 26.13/4.93 inference(superposition,[status(thm)],[f68,f30])).
% 26.13/4.93 thf(f30,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($true = (sK1 @ X2 @ (sK2 @ X1))) | ((X1 @ X2) = $false)) )),
% 26.13/4.93 inference(not_proxy_clausification,[status(thm)],[f29])).
% 26.13/4.93 thf(f29,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (((X1 @ X2) = $false) | ($false = (~ (sK1 @ X2 @ (sK2 @ X1))))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f28])).
% 26.13/4.93 thf(f28,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($false = ((X1 @ X2) & (~ (sK1 @ X2 @ (sK2 @ X1)))))) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f27])).
% 26.13/4.93 thf(f27,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : ((((^[Y0 : a]: ((X1 @ Y0) & (~ (sK1 @ Y0 @ (sK2 @ X1))))) @ X2) = $false)) )),
% 26.13/4.93 inference(pi_clausification,[status(thm)],[f25])).
% 26.13/4.93 thf(f25,plain,(
% 26.13/4.93 ( ! [X1 : a > $o] : (($false = (?? @ a @ (^[Y0 : a]: ((X1 @ Y0) & (~ (sK1 @ Y0 @ (sK2 @ X1)))))))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f24])).
% 26.13/4.93 thf(f24,plain,(
% 26.13/4.93 ( ! [X1 : a > $o] : (($false = ((?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((((~ (X1 @ Y1)) | (sK1 @ Y1 @ Y0)) | (~ (X1 @ Y1))) | (sK1 @ Y1 @ Y0)))) & (~ (sK1 @ (sK2 @ X1) @ Y0))))) | (?? @ a @ (^[Y0 : a]: ((X1 @ Y0) & (~ (sK1 @ Y0 @ (sK2 @ X1))))))))) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f23])).
% 26.13/4.93 thf(f23,plain,(
% 26.13/4.93 ( ! [X1 : a > $o] : (($false = ((^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((((~ (Y0 @ Y2)) | (sK1 @ Y2 @ Y1)) | (~ (Y0 @ Y2))) | (sK1 @ Y2 @ Y1)))) & (~ (sK1 @ (sK2 @ Y0) @ Y1))))) | (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & (~ (sK1 @ Y1 @ (sK2 @ Y0)))))))) @ X1))) )),
% 26.13/4.93 inference(pi_clausification,[status(thm)],[f21])).
% 26.13/4.93 thf(f21,plain,(
% 26.13/4.93 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((((~ (Y0 @ Y2)) | (sK1 @ Y2 @ Y1)) | (~ (Y0 @ Y2))) | (sK1 @ Y2 @ Y1)))) & (~ (sK1 @ (sK2 @ Y0) @ Y1))))) | (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & (~ (sK1 @ Y1 @ (sK2 @ Y0))))))))))),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f20])).
% 26.13/4.93 thf(f68,plain,(
% 26.13/4.93 ( ! [X1 : a] : (($false = (sK1 @ (sK4 @ X1) @ X1)) | ($false = (sK1 @ X1 @ (sK4 @ X1)))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f67])).
% 26.13/4.93 thf(f67,plain,(
% 26.13/4.93 ( ! [X1 : a] : (($false = ((sK1 @ X1 @ (sK4 @ X1)) & (sK1 @ (sK4 @ X1) @ X1)))) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f66])).
% 26.13/4.93 thf(f66,plain,(
% 26.13/4.93 ( ! [X1 : a] : (($false = ((^[Y0 : a]: ((sK1 @ Y0 @ (sK4 @ Y0)) & (sK1 @ (sK4 @ Y0) @ Y0))) @ X1))) )),
% 26.13/4.93 inference(pi_clausification,[status(thm)],[f59])).
% 26.13/4.93 thf(f59,plain,(
% 26.13/4.93 ($false = (?? @ a @ (^[Y0 : a]: ((sK1 @ Y0 @ (sK4 @ Y0)) & (sK1 @ (sK4 @ Y0) @ Y0)))))),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f57])).
% 26.13/4.93 thf(f882,plain,(
% 26.13/4.93 ~spl0_2),
% 26.13/4.93 inference(avatar_contradiction_clause,[status(thm)],[f881])).
% 26.13/4.93 thf(f881,plain,(
% 26.13/4.93 $false | ~spl0_2),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f867])).
% 26.13/4.93 thf(f867,plain,(
% 26.13/4.93 ($true = $false) | ~spl0_2),
% 26.13/4.93 inference(backward_demodulation,[status(thm)],[f823,f863])).
% 26.13/4.93 thf(f863,plain,(
% 26.13/4.93 ($false = (sK1 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) @ (sK4 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))))) | ~spl0_2),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f862])).
% 26.13/4.93 thf(f862,plain,(
% 26.13/4.93 ($false = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | ~spl0_2),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f859])).
% 26.13/4.93 thf(f859,plain,(
% 26.13/4.93 ($true = $false) | ($false = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | ~spl0_2),
% 26.13/4.93 inference(superposition,[status(thm)],[f30,f852])).
% 26.13/4.93 thf(f852,plain,(
% 26.13/4.93 ($false = (sK1 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) | ~spl0_2),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f848])).
% 26.13/4.93 thf(f848,plain,(
% 26.13/4.93 ($false = (sK1 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) | ($true = $false) | ~spl0_2),
% 26.13/4.93 inference(superposition,[status(thm)],[f840,f65])).
% 26.13/4.93 thf(f840,plain,(
% 26.13/4.93 ((sK1 @ (sK4 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) = $false) | ~spl0_2),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f839])).
% 26.13/4.93 thf(f839,plain,(
% 26.13/4.93 ($true = $false) | ((sK1 @ (sK4 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) = $false) | ~spl0_2),
% 26.13/4.93 inference(forward_demodulation,[status(thm)],[f838,f814])).
% 26.13/4.93 thf(f814,plain,(
% 26.13/4.93 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_2),
% 26.13/4.93 inference(avatar_component_clause,[status(thm)],[f812])).
% 26.13/4.93 thf(f838,plain,(
% 26.13/4.93 ((sK1 @ (sK4 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) = $false) | ($true = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_2),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f832])).
% 26.13/4.93 thf(f832,plain,(
% 26.13/4.93 ($true = $false) | ((sK1 @ (sK4 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) = $false) | ($true = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_2),
% 26.13/4.93 inference(superposition,[status(thm)],[f823,f89])).
% 26.13/4.93 thf(f89,plain,(
% 26.13/4.93 ( ! [X2 : a,X0 : a > $o,X1 : a] : (($false = (sK1 @ (sK3 @ X0 @ X1) @ X2)) | ($false = (sK1 @ X2 @ X1)) | ($true = (sK1 @ (sK2 @ X0) @ X1))) )),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f86])).
% 26.13/4.93 thf(f86,plain,(
% 26.13/4.93 ( ! [X2 : a,X0 : a > $o,X1 : a] : (($false = (sK1 @ X2 @ X1)) | ($true = $false) | ($true = (sK1 @ (sK2 @ X0) @ X1)) | ($false = (sK1 @ (sK3 @ X0 @ X1) @ X2))) )),
% 26.13/4.93 inference(superposition,[status(thm)],[f37,f55])).
% 26.13/4.93 thf(f55,plain,(
% 26.13/4.93 ( ! [X2 : a,X3 : a,X1 : a] : (($true = (sK1 @ X1 @ X3)) | ($false = (sK1 @ X1 @ X2)) | ((sK1 @ X2 @ X3) = $false)) )),
% 26.13/4.93 inference(not_proxy_clausification,[status(thm)],[f54])).
% 26.13/4.93 thf(f54,plain,(
% 26.13/4.93 ( ! [X2 : a,X3 : a,X1 : a] : (((sK1 @ X2 @ X3) = $false) | ($false = (~ (sK1 @ X1 @ X3))) | ($false = (sK1 @ X1 @ X2))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f53])).
% 26.13/4.93 thf(f53,plain,(
% 26.13/4.93 ( ! [X2 : a,X3 : a,X1 : a] : (((sK1 @ X2 @ X3) = $false) | ($false = ((sK1 @ X1 @ X2) & (~ (sK1 @ X1 @ X3))))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f52])).
% 26.13/4.93 thf(f52,plain,(
% 26.13/4.93 ( ! [X2 : a,X3 : a,X1 : a] : (($false = (((sK1 @ X1 @ X2) & (~ (sK1 @ X1 @ X3))) & (sK1 @ X2 @ X3)))) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f51])).
% 26.13/4.93 thf(f51,plain,(
% 26.13/4.93 ( ! [X2 : a,X3 : a,X1 : a] : (($false = ((^[Y0 : a]: (((sK1 @ X1 @ X2) & (~ (sK1 @ X1 @ Y0))) & (sK1 @ X2 @ Y0))) @ X3))) )),
% 26.13/4.93 inference(pi_clausification,[status(thm)],[f50])).
% 26.13/4.93 thf(f50,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a] : (($false = (?? @ a @ (^[Y0 : a]: (((sK1 @ X1 @ X2) & (~ (sK1 @ X1 @ Y0))) & (sK1 @ X2 @ Y0)))))) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f49])).
% 26.13/4.93 thf(f49,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a] : ((((^[Y0 : a]: (?? @ a @ (^[Y1 : a]: (((sK1 @ X1 @ Y0) & (~ (sK1 @ X1 @ Y1))) & (sK1 @ Y0 @ Y1))))) @ X2) = $false)) )),
% 26.13/4.93 inference(pi_clausification,[status(thm)],[f48])).
% 26.13/4.93 thf(f48,plain,(
% 26.13/4.93 ( ! [X1 : a] : (($false = (?? @ a @ (^[Y0 : a]: (?? @ a @ (^[Y1 : a]: (((sK1 @ X1 @ Y0) & (~ (sK1 @ X1 @ Y1))) & (sK1 @ Y0 @ Y1)))))))) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f47])).
% 26.13/4.93 thf(f47,plain,(
% 26.13/4.93 ( ! [X1 : a] : (($false = ((^[Y0 : a]: (?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y1) & (~ (sK1 @ Y0 @ Y2))) & (sK1 @ Y1 @ Y2))))))) @ X1))) )),
% 26.13/4.93 inference(pi_clausification,[status(thm)],[f46])).
% 26.13/4.93 thf(f46,plain,(
% 26.13/4.93 ($false = (?? @ a @ (^[Y0 : a]: (?? @ a @ (^[Y1 : a]: (?? @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y1) & (~ (sK1 @ Y0 @ Y2))) & (sK1 @ Y1 @ Y2)))))))))),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 26.13/4.93 thf(f37,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($false = (sK1 @ (sK3 @ X1 @ X2) @ X2)) | ($true = (sK1 @ (sK2 @ X1) @ X2))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f36])).
% 26.13/4.93 thf(f36,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($false = ((((~ (X1 @ (sK3 @ X1 @ X2))) | (sK1 @ (sK3 @ X1 @ X2) @ X2)) | (~ (X1 @ (sK3 @ X1 @ X2)))) | (sK1 @ (sK3 @ X1 @ X2) @ X2))) | ($true = (sK1 @ (sK2 @ X1) @ X2))) )),
% 26.13/4.93 inference(not_proxy_clausification,[status(thm)],[f35])).
% 26.13/4.93 thf(f35,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($false = (~ (sK1 @ (sK2 @ X1) @ X2))) | ($false = ((((~ (X1 @ (sK3 @ X1 @ X2))) | (sK1 @ (sK3 @ X1 @ X2) @ X2)) | (~ (X1 @ (sK3 @ X1 @ X2)))) | (sK1 @ (sK3 @ X1 @ X2) @ X2)))) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f34])).
% 26.13/4.93 thf(f34,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($false = (~ (sK1 @ (sK2 @ X1) @ X2))) | ($false = ((^[Y0 : a]: ((((~ (X1 @ Y0)) | (sK1 @ Y0 @ X2)) | (~ (X1 @ Y0))) | (sK1 @ Y0 @ X2))) @ (sK3 @ X1 @ X2)))) )),
% 26.13/4.93 inference(sigma_clausification,[status(thm)],[f33])).
% 26.13/4.93 thf(f33,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((((~ (X1 @ Y0)) | (sK1 @ Y0 @ X2)) | (~ (X1 @ Y0))) | (sK1 @ Y0 @ X2))))) | ($false = (~ (sK1 @ (sK2 @ X1) @ X2)))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f32])).
% 26.13/4.93 thf(f32,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($false = ((!! @ a @ (^[Y0 : a]: ((((~ (X1 @ Y0)) | (sK1 @ Y0 @ X2)) | (~ (X1 @ Y0))) | (sK1 @ Y0 @ X2)))) & (~ (sK1 @ (sK2 @ X1) @ X2))))) )),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f31])).
% 26.13/4.93 thf(f31,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : ((((^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((((~ (X1 @ Y1)) | (sK1 @ Y1 @ Y0)) | (~ (X1 @ Y1))) | (sK1 @ Y1 @ Y0)))) & (~ (sK1 @ (sK2 @ X1) @ Y0)))) @ X2) = $false)) )),
% 26.13/4.93 inference(pi_clausification,[status(thm)],[f26])).
% 26.13/4.93 thf(f26,plain,(
% 26.13/4.93 ( ! [X1 : a > $o] : (($false = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((((~ (X1 @ Y1)) | (sK1 @ Y1 @ Y0)) | (~ (X1 @ Y1))) | (sK1 @ Y1 @ Y0)))) & (~ (sK1 @ (sK2 @ X1) @ Y0))))))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f24])).
% 26.13/4.93 thf(f823,plain,(
% 26.13/4.93 ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) @ (sK4 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))))) | ~spl0_2),
% 26.13/4.93 inference(beta_eta_normalization,[status(thm)],[f822])).
% 26.13/4.93 thf(f822,plain,(
% 26.13/4.93 ($true = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | ~spl0_2),
% 26.13/4.93 inference(trivial_inequality_removal,[status(thm)],[f817])).
% 26.13/4.93 thf(f817,plain,(
% 26.13/4.93 ($true = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | ($true = $false) | ~spl0_2),
% 26.13/4.93 inference(superposition,[status(thm)],[f814,f44])).
% 26.13/4.93 thf(f44,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($true = (sK1 @ (sK2 @ X1) @ X2)) | ($true = (X1 @ (sK3 @ X1 @ X2)))) )),
% 26.13/4.93 inference(not_proxy_clausification,[status(thm)],[f39])).
% 26.13/4.93 thf(f39,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($true = (sK1 @ (sK2 @ X1) @ X2)) | ($false = (~ (X1 @ (sK3 @ X1 @ X2))))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 26.13/4.93 thf(f38,plain,(
% 26.13/4.93 ( ! [X2 : a,X1 : a > $o] : (($false = (((~ (X1 @ (sK3 @ X1 @ X2))) | (sK1 @ (sK3 @ X1 @ X2) @ X2)) | (~ (X1 @ (sK3 @ X1 @ X2))))) | ($true = (sK1 @ (sK2 @ X1) @ X2))) )),
% 26.13/4.93 inference(binary_proxy_clausification,[status(thm)],[f36])).
% 26.13/4.93 % SZS output end Proof for DTF2THF_32658
% 26.13/4.93 % (432)------------------------------
% 26.13/4.93 % (432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.13/4.93 % (432)Termination reason: Refutation
% 26.13/4.93
% 26.13/4.93 % (432)Memory used [KB]: 6524
% 26.13/4.93 % (432)Time elapsed: 0.107 s
% 26.13/4.93 % (432)Instructions burned: 339 (million)
% 26.13/4.93 % (432)------------------------------
% 26.13/4.93 % (432)------------------------------
% 26.13/4.93 % (32756)Success in time 3.751 s
%------------------------------------------------------------------------------