%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV318^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:40:49 AM UTC 2026
% Result : Theorem 20.64s 4.09s
% Output : Refutation 20.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 3
% Syntax : Number of formulae : 83 ( 39 unt; 0 typ; 2 def)
% Number of atoms : 634 ( 102 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 1866 ( 28 ~; 54 |; 85 &;1390 @)
% ( 2 <=>; 143 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 121 ( 121 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 8 usr; 7 con; 0-2 aty)
% ( 152 !!; 12 ??; 0 @@+; 0 @@-)
% Number of variables : 349 ( 239 ^; 107 !; 3 ?; 349 :)
% 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(func_def_22,type,
sK6: a ).
thf(f1263,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f1169,f1241,f1262]) ).
thf(f1262,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f1261]) ).
thf(f1261,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[status(thm)],[f1256,f581]) ).
thf(f581,plain,
( ( $false
!= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f580]) ).
thf(f580,definition,
( spl0_3
<=> ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f1256,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f1253]) ).
thf(f1253,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ( $false = $true )
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f52,f586]) ).
thf(f586,plain,
( ( ( sK1
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) )
@ ( sK4
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f584]) ).
thf(f584,definition,
( spl0_4
<=> ( ( sK1
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) )
@ ( sK4
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f52,plain,
! [X2: a,X1: a] :
( ( ( sK1 @ ( sK4 @ X2 ) @ ( sK4 @ X1 ) )
= $true )
| ( ( sK1 @ X2 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f51]) ).
thf(f51,plain,
! [X2: a,X1: a] :
( ( ( sK1 @ X2 @ X1 )
=> ( sK1 @ ( sK4 @ X2 ) @ ( sK4 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f50]) ).
thf(f50,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK1 @ Y0 @ X1 )
=> ( sK1 @ ( sK4 @ Y0 ) @ ( sK4 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f49]) ).
thf(f49,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 @ X1 )
=> ( sK1 @ ( sK4 @ Y0 ) @ ( sK4 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f48]) ).
thf(f48,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK1 @ ( sK4 @ Y1 ) @ ( sK4 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK1 @ ( sK4 @ Y1 ) @ ( sK4 @ Y0 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f45]) ).
thf(f45,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK1 @ ( sK4 @ Y1 ) @ ( sK4 @ Y0 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y0: a] :
( ( sK1 @ ( sK4 @ Y0 ) @ Y0 )
& ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f44]) ).
thf(f44,plain,
( ( ^ [Y0: a > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y2 @ Y1 )
=> ( sK1 @ ( Y0 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ ( Y0 @ Y1 ) @ Y1 )
& ( sK1 @ Y1 @ ( Y0 @ Y1 ) ) ) ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( $false
= ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y2 @ Y1 )
=> ( sK1 @ ( Y0 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ ( Y0 @ Y1 ) @ Y1 )
& ( sK1 @ Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK1 @ Y2 @ Y1 ) ) )
=> ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y2 @ Y1 ) )
=> ( sK1 @ Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y2 @ Y1 )
=> ( sK1 @ ( Y0 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ ( Y0 @ Y1 ) @ Y1 )
& ( sK1 @ Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
( ( ^ [Y0: ( a > $o ) > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( sK1 @ Y3 @ Y2 ) ) )
=> ( sK1 @ ( Y0 @ Y1 ) @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y1 @ Y3 )
& ( sK1 @ Y3 @ Y2 ) )
=> ( sK1 @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y3 @ Y2 )
=> ( sK1 @ ( Y1 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ ( Y1 @ Y2 ) @ Y2 )
& ( sK1 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( ( !! @ ( ( a > $o ) > a )
@ ^ [Y0: ( a > $o ) > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( sK1 @ Y3 @ Y2 ) ) )
=> ( sK1 @ ( Y0 @ Y1 ) @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y1 @ Y3 )
& ( sK1 @ Y3 @ Y2 ) )
=> ( sK1 @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y3 @ Y2 )
=> ( sK1 @ ( Y1 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ ( Y1 @ Y2 ) @ Y2 )
& ( sK1 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > $o ) > a,X1: a > a > $o] :
( ( ! [X2: a,X3: a,X4: a] :
( ( ( X1 @ X2 @ X3 )
& ( X1 @ X4 @ X2 ) )
=> ( X1 @ X4 @ X3 ) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( X5 @ X6 )
=> ( X1 @ X6 @ ( X0 @ X5 ) ) )
& ! [X7: a] :
( ( X5 @ X7 )
=> ( X1 @ X7 @ ( X0 @ X5 ) ) )
& ! [X8: a] :
( ! [X9: a] :
( ( X5 @ X9 )
=> ( X1 @ X9 @ X8 ) )
=> ( X1 @ ( X0 @ X5 ) @ X8 ) ) ) )
=> ! [X10: a > a] :
( ( ! [X11: a,X12: a] :
( ( X1 @ X11 @ X12 )
=> ( X1 @ ( X10 @ X11 ) @ ( X10 @ X12 ) ) )
& ! [X13: a,X14: a] :
( ( X1 @ X13 @ X14 )
=> ( X1 @ ( X10 @ X13 ) @ ( X10 @ X14 ) ) ) )
=> ? [X15: a] :
( ( X1 @ X15 @ ( X10 @ X15 ) )
& ( X1 @ ( X10 @ X15 ) @ X15 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: ( a > $o ) > a,X0: a > a > $o] :
( ( ! [X3: a,X4: a,X2: a] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X2 @ X4 ) )
& ! [X5: a > $o] :
( ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) )
& ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) )
& ! [X6: a] :
( ! [X7: a] :
( ( X5 @ X7 )
=> ( X0 @ X7 @ X6 ) )
=> ( X0 @ ( X1 @ X5 ) @ X6 ) ) ) )
=> ! [X8: a > a] :
( ( ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) ) )
=> ? [X9: a] :
( ( X0 @ X9 @ ( X8 @ X9 ) )
& ( X0 @ ( X8 @ X9 ) @ X9 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: ( a > $o ) > a,X0: a > a > $o] :
( ( ! [X3: a,X4: a,X2: a] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X2 @ X4 ) )
& ! [X5: a > $o] :
( ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) )
& ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) )
& ! [X6: a] :
( ! [X7: a] :
( ( X5 @ X7 )
=> ( X0 @ X7 @ X6 ) )
=> ( X0 @ ( X1 @ X5 ) @ X6 ) ) ) )
=> ! [X8: a > a] :
( ( ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) ) )
=> ? [X9: a] :
( ( X0 @ X9 @ ( X8 @ X9 ) )
& ( X0 @ ( X8 @ X9 ) @ X9 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Y0bLQhZdPJ/DTF2THF_20351.p',cTHM145_B_pme) ).
thf(f1241,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f1217,f580,f584]) ).
thf(f1217,plain,
( ( ( sK1
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) )
@ ( sK4
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
= $false )
| spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f1216]) ).
thf(f1216,plain,
( ( $false
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f1194]) ).
thf(f1194,plain,
( ( $false
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ( $false != $false )
| spl0_3 ),
inference(superposition,[status(thm)],[f581,f62]) ).
thf(f62,plain,
! [X0: a > $o] :
( ( $false
= ( sK1 @ ( sK2 @ X0 ) @ ( sK4 @ ( sK2 @ X0 ) ) ) )
| ( ( X0 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f60]) ).
thf(f60,plain,
! [X0: a > $o] :
( ( $false = $true )
| ( ( X0 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $false )
| ( $false
= ( sK1 @ ( sK2 @ X0 ) @ ( sK4 @ ( sK2 @ X0 ) ) ) ) ),
inference(superposition,[status(thm)],[f31,f55]) ).
thf(f55,plain,
! [X1: a] :
( ( ( sK1 @ ( sK4 @ X1 ) @ X1 )
= $false )
| ( ( sK1 @ X1 @ ( sK4 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f54]) ).
thf(f54,plain,
! [X1: a] :
( ( ( sK1 @ ( sK4 @ X1 ) @ X1 )
& ( sK1 @ X1 @ ( sK4 @ X1 ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f53]) ).
thf(f53,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ( sK1 @ ( sK4 @ Y0 ) @ Y0 )
& ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f46]) ).
thf(f46,plain,
( ( ?? @ a
@ ^ [Y0: a] :
( ( sK1 @ ( sK4 @ Y0 ) @ Y0 )
& ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f45]) ).
thf(f31,plain,
! [X2: a,X1: a > $o] :
( ( $true
= ( sK1 @ X2 @ ( sK2 @ X1 ) ) )
| ( $false
= ( X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f30]) ).
thf(f30,plain,
! [X2: a,X1: a > $o] :
( ( ( X1 @ X2 )
=> ( sK1 @ X2 @ ( sK2 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f29]) ).
thf(f29,plain,
! [X2: a,X1: a > $o] :
( $true
= ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f27]) ).
thf(f27,plain,
! [X1: a > $o] :
( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f26]) ).
thf(f26,plain,
! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK1 @ Y1 @ Y0 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f25]) ).
thf(f25,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK1 @ Y2 @ Y1 ) ) )
=> ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK1 @ Y2 @ Y1 ) ) )
=> ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK1 @ Y2 @ Y1 ) ) )
=> ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y2 @ Y1 ) )
=> ( sK1 @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f12]) ).
thf(f1169,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[status(thm)],[f1168]) ).
thf(f1168,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f1156]) ).
thf(f1156,plain,
( ( $false = $true )
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f594,f1152]) ).
thf(f1152,plain,
( ( ( 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 ) ) ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f1151]) ).
thf(f1151,plain,
( ( $false
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f1148]) ).
thf(f1148,plain,
( ( $false
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ( $false = $true )
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f31,f1141]) ).
thf(f1141,plain,
( ( ( sK1
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) )
= $false )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f1137]) ).
thf(f1137,plain,
( ( ( sK1
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) )
= $false )
| ( $false = $true )
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f1133,f52]) ).
thf(f1133,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_3 ),
inference(trivial_inequality_removal,[status(thm)],[f1132]) ).
thf(f1132,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 )
| ( $false = $true )
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1125,f582]) ).
thf(f582,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f580]) ).
thf(f1125,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_3 ),
inference(trivial_inequality_removal,[status(thm)],[f1095]) ).
thf(f1095,plain,
( ( $true
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ( $false = $true )
| ( ( 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_3 ),
inference(superposition,[status(thm)],[f594,f86]) ).
thf(f86,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( ( sK1 @ ( sK3 @ X0 @ X1 ) @ X2 )
= $false )
| ( ( sK1 @ X2 @ X1 )
= $false )
| ( $true
= ( sK1 @ ( sK2 @ X0 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f81]) ).
thf(f81,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( ( sK1 @ ( sK3 @ X0 @ X1 ) @ X2 )
= $false )
| ( $false = $true )
| ( ( sK1 @ X2 @ X1 )
= $false )
| ( $true
= ( sK1 @ ( sK2 @ X0 ) @ X1 ) ) ),
inference(superposition,[status(thm)],[f42,f24]) ).
thf(f24,plain,
! [X2: a,X3: a,X1: a] :
( ( $true
= ( sK1 @ X1 @ X2 ) )
| ( $false
= ( sK1 @ X3 @ X2 ) )
| ( ( sK1 @ X1 @ X3 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f23]) ).
thf(f23,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK1 @ X1 @ X3 )
& ( sK1 @ X3 @ X2 ) )
= $false )
| ( $true
= ( sK1 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK1 @ X1 @ X3 )
& ( sK1 @ X3 @ X2 ) )
=> ( sK1 @ X1 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK1 @ X1 @ Y0 )
& ( sK1 @ Y0 @ X2 ) )
=> ( sK1 @ X1 @ X2 ) )
@ X3 )
= $true ),
inference(pi_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ X1 @ Y0 )
& ( sK1 @ Y0 @ X2 ) )
=> ( sK1 @ X1 @ X2 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f19]) ).
thf(f19,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ X1 @ Y1 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ X1 @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ X1 @ Y1 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f17]) ).
thf(f17,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y2 @ Y1 ) )
=> ( sK1 @ Y0 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y2 @ Y1 ) )
=> ( sK1 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f42,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( sK1 @ ( sK3 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
thf(f41,plain,
! [X2: a,X1: a > $o] :
( ( ( ( X1 @ ( sK3 @ X1 @ X2 ) )
=> ( sK1 @ ( sK3 @ X1 @ X2 ) @ X2 ) )
= $false )
| ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f40]) ).
thf(f40,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ X2 ) )
@ ( sK3 @ X1 @ X2 ) ) )
| ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(sigma_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X2: a,X1: a > $o] :
( ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ X2 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
! [X2: a,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ X2 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ X2 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f37]) ).
thf(f37,plain,
! [X2: a,X1: a > $o] :
( ( ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK1 @ Y1 @ Y0 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X1: a > $o] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK1 @ Y1 @ Y0 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f28]) ).
thf(f28,plain,
! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK1 @ Y1 @ Y0 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f26]) ).
thf(f594,plain,
( ( ( 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 ) ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f593]) ).
thf(f593,plain,
( ( $true
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f588]) ).
thf(f588,plain,
( ( $true
= ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK3
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ( $false = $true )
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f582,f43]) ).
thf(f43,plain,
! [X2: a,X1: a > $o] :
( ( $true
= ( sK1 @ ( sK2 @ X1 ) @ X2 ) )
| ( $true
= ( X1 @ ( sK3 @ X1 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV318^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.31 % Computer : n006.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Feb 24 12:44:00 EST 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.31 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.40 ---- Original DTF file ---
% 0.18/0.40 thf(spec,logic,$$dhol).
% 0.18/0.40 %------------------------------------------------------------------------------
% 0.18/0.40 % File : SEV318^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.40 % Domain : Set Theory
% 0.18/0.40 % Problem : TPS problem THM145-B
% 0.18/0.40 % Version : Especial.
% 0.18/0.40 % English : Related to the Knaster-Tarski theorem.
% 0.18/0.40
% 0.18/0.40 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.40 % Source : [Bro09]
% 0.18/0.40 % Names : tps_0518 [Bro09]
% 0.18/0.40 % : THM145-B [TPS]
% 0.18/0.40
% 0.18/0.40 % Status : Theorem
% 0.18/0.40 % Rating : 0.75 v9.0.0, 0.92 v8.2.0, 0.91 v8.1.0, 0.92 v7.5.0, 1.00 v5.3.0, 0.75 v4.1.0, 0.67 v4.0.0
% 0.18/0.40 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.18/0.40 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.18/0.40 % Maximal formula atoms : 0 ( 0 avg)
% 0.18/0.40 % Number of connectives : 53 ( 0 ~; 0 |; 6 &; 38 @)
% 0.18/0.40 % ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% 0.18/0.40 % Maximal formula depth : 14 ( 14 avg)
% 0.18/0.40 % Number of types : 2 ( 1 usr)
% 0.18/0.40 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.18/0.40 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.18/0.40 % Number of variables : 16 ( 0 ^; 15 !; 1 ?; 16 :)
% 0.18/0.40 % SPC : TH0_THM_NEQ_NAR
% 0.18/0.40
% 0.18/0.40 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.40 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.40 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.40 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.40 % : Polymorphic definitions expanded.
% 0.18/0.40 %------------------------------------------------------------------------------
% 0.18/0.40 thf(a_type,type,
% 0.18/0.40 a: $tType ).
% 0.18/0.40
% 0.18/0.40 thf(cTHM145_B_pme,conjecture,
% 0.18/0.40 ! [R: a > a > $o,U: ( a > $o ) > a] :
% 0.18/0.40 ( ( ! [Xx: a,Xy: a,Xz: a] :
% 0.18/0.40 ( ( ( R @ Xx @ Xy )
% 0.18/0.40 & ( R @ Xy @ Xz ) )
% 0.18/0.40 => ( R @ Xx @ Xz ) )
% 0.18/0.40 & ! [Xs: a > $o] :
% 0.18/0.40 ( ! [Xz: a] :
% 0.18/0.40 ( ( Xs @ Xz )
% 0.18/0.40 => ( R @ Xz @ ( U @ Xs ) ) )
% 0.18/0.40 & ! [Xz: a] :
% 0.18/0.40 ( ( Xs @ Xz )
% 0.18/0.40 => ( R @ Xz @ ( U @ Xs ) ) )
% 0.18/0.40 & ! [Xj: a] :
% 0.18/0.40 ( ! [Xk: a] :
% 0.18/0.40 ( ( Xs @ Xk )
% 0.18/0.40 => ( R @ Xk @ Xj ) )
% 0.18/0.40 => ( R @ ( U @ Xs ) @ Xj ) ) ) )
% 0.18/0.40 => ! [Xf: a > a] :
% 0.18/0.40 ( ( ! [Xx: a,Xy: a] :
% 0.18/0.40 ( ( R @ Xx @ Xy )
% 0.18/0.40 => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 0.18/0.40 & ! [Xx: a,Xy: a] :
% 0.18/0.40 ( ( R @ Xx @ Xy )
% 0.18/0.40 => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
% 0.18/0.40 => ? [Xw: a] :
% 0.18/0.40 ( ( R @ Xw @ ( Xf @ Xw ) )
% 0.18/0.40 & ( R @ ( Xf @ Xw ) @ Xw ) ) ) ) ).
% 0.18/0.40
% 0.18/0.40 %------------------------------------------------------------------------------
% 0.18/0.40 ------------------------
% 1.37/1.26 ---- Embedded in THF ---
% 1.37/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.37/1.26 %%% Generated on Tue Feb 24 12:44:01 EST 2026
% 1.37/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.37/1.26 %%% Logic specification used:
% 1.37/1.26 %%% thf(spec, logic, $$dhol).
% 1.37/1.26
% 1.37/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.Y0bLQhZdPJ/DTF2DTF20351.p
% See solution above
% 1.37/1.26 ------------------------
% 1.37/1.27 ---- Cleaned THF ---
% 1.37/1.27 thf(a_type,type,
% 1.37/1.27 a: $tType ).
% 1.37/1.27
% 1.37/1.27 thf(cTHM145_B_pme,conjecture,
% 1.37/1.27 ! [R: a > a > $o,U: ( a > $o ) > a] :
% 1.37/1.27 ( ( ! [Xx: a,Xy: a,Xz: a] :
% 1.37/1.27 ( ( ( R @ Xx @ Xy )
% 1.37/1.27 & ( R @ Xy @ Xz ) )
% 1.37/1.27 => ( R @ Xx @ Xz ) )
% 1.37/1.27 & ! [Xs: a > $o] :
% 1.37/1.27 ( ! [Xz: a] :
% 1.37/1.27 ( ( Xs @ Xz )
% 1.37/1.27 => ( R @ Xz @ ( U @ Xs ) ) )
% 1.37/1.27 & ! [Xz: a] :
% 1.37/1.27 ( ( Xs @ Xz )
% 1.37/1.27 => ( R @ Xz @ ( U @ Xs ) ) )
% 1.37/1.27 & ! [Xj: a] :
% 1.37/1.27 ( ! [Xk: a] :
% 1.37/1.27 ( ( Xs @ Xk )
% 1.37/1.27 => ( R @ Xk @ Xj ) )
% 1.37/1.27 => ( R @ ( U @ Xs ) @ Xj ) ) ) )
% 1.37/1.27 => ! [Xf: a > a] :
% 1.37/1.27 ( ( ! [Xx: a,Xy: a] :
% 1.37/1.27 ( ( R @ Xx @ Xy )
% 1.37/1.27 => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 1.37/1.27 & ! [Xx: a,Xy: a] :
% 1.37/1.27 ( ( R @ Xx @ Xy )
% 1.37/1.27 => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
% 1.37/1.27 => ? [Xw: a] :
% 1.37/1.27 ( ( R @ Xw @ ( Xf @ Xw ) )
% 1.37/1.27 & ( R @ ( Xf @ Xw ) @ Xw ) ) ) ) ).
% 1.37/1.27 ------------------------
% 1.37/1.28 % (20452)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_20351 for (3000ds/183Mi)
% 1.37/1.29 % (20453)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_20351 for (3000ds/4Mi)
% 1.37/1.29 % (20454)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_20351 for (3000ds/27Mi)
% 1.37/1.29 % (20458)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_20351 for (3000ds/18Mi)
% 1.37/1.29 % (20456)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_20351 for (3000ds/2Mi)
% 1.37/1.29 % (20457)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_20351 for (3000ds/275Mi)
% 1.37/1.29 % (20455)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_20351 for (3000ds/2Mi)
% 1.37/1.29 % (20456)Instruction limit reached!
% 1.37/1.29 % (20456)------------------------------
% 1.37/1.29 % (20456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.29 % (20456)Termination reason: Unknown
% 1.37/1.29 % (20456)Termination phase: Saturation
% 1.37/1.29
% 1.37/1.29 % (20456)Memory used [KB]: 5500
% 1.37/1.29 % (20456)Time elapsed: 0.003 s
% 1.37/1.29 % (20456)Instructions burned: 3 (million)
% 1.37/1.29 % (20456)------------------------------
% 1.37/1.29 % (20456)------------------------------
% 1.37/1.29 % (20453)Instruction limit reached!
% 1.37/1.29 % (20453)------------------------------
% 1.37/1.29 % (20453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.29 % (20453)Termination reason: Unknown
% 1.37/1.29 % (20453)Termination phase: Saturation
% 1.37/1.29
% 1.37/1.29 % (20453)Memory used [KB]: 5500
% 1.37/1.29 % (20453)Time elapsed: 0.004 s
% 1.37/1.29 % (20453)Instructions burned: 5 (million)
% 1.37/1.29 % (20453)------------------------------
% 1.37/1.29 % (20453)------------------------------
% 1.37/1.29 % (20455)Instruction limit reached!
% 1.37/1.29 % (20455)------------------------------
% 1.37/1.29 % (20455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.29 % (20455)Termination reason: Unknown
% 1.37/1.29 % (20455)Termination phase: Preprocessing 3
% 1.37/1.29
% 1.37/1.29 % (20455)Memory used [KB]: 1023
% 1.37/1.29 % (20455)Time elapsed: 0.003 s
% 1.37/1.29 % (20455)Instructions burned: 2 (million)
% 1.37/1.29 % (20455)------------------------------
% 1.37/1.29 % (20455)------------------------------
% 1.52/1.30 % (20458)Instruction limit reached!
% 1.52/1.30 % (20458)------------------------------
% 1.52/1.30 % (20458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.30 % (20458)Termination reason: Unknown
% 1.52/1.30 % (20458)Termination phase: Saturation
% 1.52/1.30
% 1.52/1.30 % (20458)Memory used [KB]: 5628
% 1.52/1.30 % (20458)Time elapsed: 0.011 s
% 1.52/1.30 % (20458)Instructions burned: 18 (million)
% 1.52/1.30 % (20458)------------------------------
% 1.52/1.30 % (20458)------------------------------
% 1.52/1.30 % (20454)Instruction limit reached!
% 1.52/1.30 % (20454)------------------------------
% 1.52/1.30 % (20454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.30 % (20454)Termination reason: Unknown
% 1.52/1.30 % (20454)Termination phase: Saturation
% 1.52/1.30
% 1.52/1.30 % (20454)Memory used [KB]: 5628
% 1.52/1.30 % (20454)Time elapsed: 0.015 s
% 1.52/1.30 % (20454)Instructions burned: 27 (million)
% 1.52/1.30 % (20454)------------------------------
% 1.52/1.30 % (20454)------------------------------
% 1.52/1.31 % (20459)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/3Mi)
% 1.52/1.31 % (20460)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_20351 for (2999ds/37Mi)
% 1.52/1.31 % (20461)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_20351 for (2999ds/15Mi)
% 1.52/1.31 % (20459)Instruction limit reached!
% 1.52/1.31 % (20459)------------------------------
% 1.52/1.31 % (20459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.31 % (20459)Termination reason: Unknown
% 1.52/1.31 % (20459)Termination phase: Saturation
% 1.52/1.31
% 1.52/1.31 % (20459)Memory used [KB]: 5500
% 1.52/1.31 % (20459)Time elapsed: 0.003 s
% 1.52/1.31 % (20459)Instructions burned: 3 (million)
% 1.52/1.31 % (20459)------------------------------
% 1.52/1.31 % (20459)------------------------------
% 1.52/1.32 % (20461)Instruction limit reached!
% 1.52/1.32 % (20461)------------------------------
% 1.52/1.32 % (20461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.32 % (20461)Termination reason: Unknown
% 1.52/1.32 % (20461)Termination phase: Saturation
% 1.52/1.32
% 1.52/1.32 % (20461)Memory used [KB]: 5628
% 1.52/1.32 % (20461)Time elapsed: 0.009 s
% 1.52/1.32 % (20461)Instructions burned: 15 (million)
% 1.52/1.32 % (20461)------------------------------
% 1.52/1.32 % (20461)------------------------------
% 1.52/1.32 % (20462)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_20351 for (2999ds/3Mi)
% 1.52/1.32 % (20462)Instruction limit reached!
% 1.52/1.32 % (20462)------------------------------
% 1.52/1.32 % (20462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.32 % (20462)Termination reason: Unknown
% 1.52/1.32 % (20462)Termination phase: Saturation
% 1.52/1.32
% 1.52/1.32 % (20462)Memory used [KB]: 5500
% 1.52/1.32 % (20462)Time elapsed: 0.003 s
% 1.52/1.32 % (20462)Instructions burned: 3 (million)
% 1.52/1.32 % (20462)------------------------------
% 1.52/1.32 % (20462)------------------------------
% 1.52/1.32 % (20463)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_20351 for (2999ds/1041Mi)
% 1.52/1.32 % (20464)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/7Mi)
% 1.52/1.33 % (20460)Instruction limit reached!
% 1.52/1.33 % (20460)------------------------------
% 1.52/1.33 % (20460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.33 % (20460)Termination reason: Unknown
% 1.52/1.33 % (20460)Termination phase: Saturation
% 1.52/1.33
% 1.52/1.33 % (20460)Memory used [KB]: 5884
% 1.52/1.33 % (20460)Time elapsed: 0.020 s
% 1.52/1.33 % (20460)Instructions burned: 38 (million)
% 1.52/1.33 % (20460)------------------------------
% 1.52/1.33 % (20460)------------------------------
% 1.52/1.33 % (20464)Instruction limit reached!
% 1.52/1.33 % (20464)------------------------------
% 1.52/1.33 % (20464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.33 % (20464)Termination reason: Unknown
% 1.52/1.33 % (20464)Termination phase: Saturation
% 1.52/1.33
% 1.52/1.33 % (20464)Memory used [KB]: 1023
% 1.52/1.33 % (20464)Time elapsed: 0.005 s
% 1.52/1.33 % (20464)Instructions burned: 7 (million)
% 1.52/1.33 % (20464)------------------------------
% 1.52/1.33 % (20464)------------------------------
% 1.52/1.33 % (20465)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/16Mi)
% 1.52/1.33 % (20466)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_20351 for (2999ds/3Mi)
% 1.52/1.33 % (20466)Instruction limit reached!
% 1.52/1.33 % (20466)------------------------------
% 1.52/1.33 % (20466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.33 % (20466)Termination reason: Unknown
% 1.52/1.33 % (20466)Termination phase: Twee Goal Transformation
% 1.52/1.33
% 1.52/1.33 % (20466)Memory used [KB]: 1023
% 1.52/1.33 % (20466)Time elapsed: 0.003 s
% 1.52/1.33 % (20466)Instructions burned: 4 (million)
% 1.52/1.33 % (20466)------------------------------
% 1.52/1.33 % (20466)------------------------------
% 1.52/1.34 % (20452)Instruction limit reached!
% 1.52/1.34 % (20452)------------------------------
% 1.52/1.34 % (20452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.34 % (20452)Termination reason: Unknown
% 1.52/1.34 % (20452)Termination phase: Saturation
% 1.52/1.34
% 1.52/1.34 % (20452)Memory used [KB]: 6652
% 1.52/1.34 % (20452)Time elapsed: 0.056 s
% 1.52/1.34 % (20452)Instructions burned: 184 (million)
% 1.52/1.34 % (20452)------------------------------
% 1.52/1.34 % (20452)------------------------------
% 1.52/1.34 % (20465)Instruction limit reached!
% 1.52/1.34 % (20465)------------------------------
% 1.52/1.34 % (20465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.34 % (20465)Termination reason: Unknown
% 1.52/1.34 % (20465)Termination phase: Saturation
% 1.52/1.34
% 1.52/1.34 % (20465)Memory used [KB]: 5628
% 1.52/1.34 % (20465)Time elapsed: 0.010 s
% 1.52/1.34 % (20465)Instructions burned: 17 (million)
% 1.52/1.34 % (20465)------------------------------
% 1.52/1.34 % (20465)------------------------------
% 1.52/1.34 % (20468)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/7Mi)
% 1.52/1.35 % (20467)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_20351 for (2999ds/3Mi)
% 1.52/1.35 % (20468)Instruction limit reached!
% 1.52/1.35 % (20468)------------------------------
% 1.52/1.35 % (20468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.35 % (20468)Termination reason: Unknown
% 1.52/1.35 % (20468)Termination phase: Saturation
% 1.52/1.35
% 1.52/1.35 % (20468)Memory used [KB]: 5500
% 1.52/1.35 % (20468)Time elapsed: 0.005 s
% 1.52/1.35 % (20468)Instructions burned: 7 (million)
% 1.52/1.35 % (20468)------------------------------
% 1.52/1.35 % (20468)------------------------------
% 1.52/1.35 % (20467)Instruction limit reached!
% 1.52/1.35 % (20467)------------------------------
% 1.52/1.35 % (20467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.35 % (20467)Termination reason: Unknown
% 1.52/1.35 % (20467)Termination phase: Saturation
% 1.52/1.35
% 1.52/1.35 % (20467)Memory used [KB]: 1023
% 1.52/1.35 % (20467)Time elapsed: 0.002 s
% 1.52/1.35 % (20467)Instructions burned: 4 (million)
% 1.52/1.35 % (20467)------------------------------
% 1.52/1.35 % (20467)------------------------------
% 1.52/1.35 % (20469)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/3Mi)
% 1.52/1.35 % (20469)Instruction limit reached!
% 1.52/1.35 % (20469)------------------------------
% 1.52/1.35 % (20469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.35 % (20469)Termination reason: Unknown
% 1.52/1.35 % (20469)Termination phase: Saturation
% 1.52/1.35
% 1.52/1.35 % (20469)Memory used [KB]: 5500
% 1.52/1.35 % (20469)Time elapsed: 0.004 s
% 1.52/1.35 % (20469)Instructions burned: 4 (million)
% 1.52/1.35 % (20469)------------------------------
% 1.52/1.35 % (20469)------------------------------
% 1.52/1.35 % (20470)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/4Mi)
% 1.52/1.36 % (20470)Instruction limit reached!
% 1.52/1.36 % (20470)------------------------------
% 1.52/1.36 % (20470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.36 % (20470)Termination reason: Unknown
% 1.52/1.36 % (20470)Termination phase: Saturation
% 1.52/1.36
% 1.52/1.36 % (20470)Memory used [KB]: 5500
% 1.52/1.36 % (20470)Time elapsed: 0.004 s
% 1.52/1.36 % (20470)Instructions burned: 5 (million)
% 1.52/1.36 % (20470)------------------------------
% 1.52/1.36 % (20470)------------------------------
% 1.52/1.36 % (20473)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/6Mi)
% 1.52/1.36 % (20473)Instruction limit reached!
% 1.52/1.36 % (20473)------------------------------
% 1.52/1.36 % (20473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.36 % (20473)Termination reason: Unknown
% 1.52/1.36 % (20473)Termination phase: Saturation
% 1.52/1.36
% 1.52/1.36 % (20473)Memory used [KB]: 5500
% 1.52/1.36 % (20473)Time elapsed: 0.003 s
% 1.52/1.36 % (20473)Instructions burned: 6 (million)
% 1.52/1.36 % (20473)------------------------------
% 1.52/1.36 % (20473)------------------------------
% 1.52/1.36 % (20471)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/18Mi)
% 1.52/1.36 % (20472)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/710Mi)
% 1.52/1.37 % (20474)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_20351 for (2999ds/902Mi)
% 1.52/1.37 % (20476)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/5Mi)
% 1.52/1.37 % (20476)Instruction limit reached!
% 1.52/1.37 % (20476)------------------------------
% 1.52/1.37 % (20476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.37 % (20476)Termination reason: Unknown
% 1.52/1.37 % (20476)Termination phase: Saturation
% 1.52/1.37
% 1.52/1.37 % (20476)Memory used [KB]: 5500
% 1.52/1.37 % (20476)Time elapsed: 0.003 s
% 1.52/1.37 % (20476)Instructions burned: 7 (million)
% 1.52/1.37 % (20476)------------------------------
% 1.52/1.37 % (20476)------------------------------
% 1.52/1.37 % (20471)Instruction limit reached!
% 1.52/1.37 % (20471)------------------------------
% 1.52/1.37 % (20471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.37 % (20471)Termination reason: Unknown
% 1.52/1.37 % (20471)Termination phase: Saturation
% 1.52/1.37
% 1.52/1.37 % (20471)Memory used [KB]: 5628
% 1.52/1.37 % (20471)Time elapsed: 0.011 s
% 1.52/1.37 % (20471)Instructions burned: 19 (million)
% 1.52/1.37 % (20471)------------------------------
% 1.52/1.37 % (20471)------------------------------
% 1.52/1.37 % (20475)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_20351 for (2999ds/21Mi)
% 1.52/1.38 % (20477)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_20351 for (2999ds/6Mi)
% 1.52/1.38 % (20477)Instruction limit reached!
% 1.52/1.38 % (20477)------------------------------
% 1.52/1.38 % (20477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.38 % (20477)Termination reason: Unknown
% 1.52/1.38 % (20477)Termination phase: Saturation
% 1.52/1.38
% 1.52/1.38 % (20477)Memory used [KB]: 5500
% 1.52/1.38 % (20477)Time elapsed: 0.003 s
% 1.52/1.38 % (20477)Instructions burned: 7 (million)
% 1.52/1.38 % (20477)------------------------------
% 1.52/1.38 % (20477)------------------------------
% 1.52/1.38 % (20475)Instruction limit reached!
% 1.52/1.38 % (20475)------------------------------
% 1.52/1.38 % (20475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.38 % (20475)Termination reason: Unknown
% 1.52/1.38 % (20475)Termination phase: Saturation
% 1.52/1.38
% 1.52/1.38 % (20475)Memory used [KB]: 5628
% 1.52/1.38 % (20475)Time elapsed: 0.012 s
% 1.52/1.38 % (20475)Instructions burned: 21 (million)
% 1.52/1.38 % (20475)------------------------------
% 1.52/1.38 % (20475)------------------------------
% 1.52/1.39 % (20478)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_20351 for (2999ds/377Mi)
% 1.52/1.40 % (20479)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_20351 for (2999ds/779Mi)
% 1.52/1.40 % (20480)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_20351 for (2999ds/19Mi)
% 1.52/1.41 % (20480)Instruction limit reached!
% 1.52/1.41 % (20480)------------------------------
% 1.52/1.41 % (20480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.41 % (20480)Termination reason: Unknown
% 1.52/1.41 % (20480)Termination phase: Saturation
% 1.52/1.41
% 1.52/1.41 % (20480)Memory used [KB]: 5628
% 1.52/1.41 % (20480)Time elapsed: 0.011 s
% 1.52/1.41 % (20480)Instructions burned: 21 (million)
% 1.52/1.41 % (20480)------------------------------
% 1.52/1.41 % (20480)------------------------------
% 1.52/1.42 % (20457)Instruction limit reached!
% 1.52/1.42 % (20457)------------------------------
% 1.52/1.42 % (20457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.42 % (20457)Termination reason: Unknown
% 1.52/1.42 % (20457)Termination phase: Saturation
% 1.52/1.42
% 1.52/1.42 % (20457)Memory used [KB]: 6140
% 1.52/1.42 % (20457)Time elapsed: 0.134 s
% 1.52/1.42 % (20457)Instructions burned: 275 (million)
% 1.52/1.42 % (20457)------------------------------
% 1.52/1.42 % (20457)------------------------------
% 1.52/1.42 % (20481)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_20351 for (2998ds/879Mi)
% 1.52/1.44 % (20482)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_20351 for (2998ds/17Mi)
% 1.52/1.45 % (20482)Instruction limit reached!
% 1.52/1.45 % (20482)------------------------------
% 1.52/1.45 % (20482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.45 % (20482)Termination reason: Unknown
% 1.52/1.45 % (20482)Termination phase: Saturation
% 1.52/1.45
% 1.52/1.45 % (20482)Memory used [KB]: 5628
% 1.52/1.45 % (20482)Time elapsed: 0.032 s
% 1.52/1.45 % (20482)Instructions burned: 18 (million)
% 1.52/1.45 % (20482)------------------------------
% 1.52/1.45 % (20482)------------------------------
% 1.52/1.47 % (20483)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_20351 for (2998ds/3Mi)
% 1.52/1.47 % (20483)Instruction limit reached!
% 1.52/1.47 % (20483)------------------------------
% 1.52/1.47 % (20483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.47 % (20483)Termination reason: Unknown
% 1.52/1.47 % (20483)Termination phase: Property scanning
% 1.52/1.47
% 1.52/1.47 % (20483)Memory used [KB]: 1023
% 1.52/1.47 % (20483)Time elapsed: 0.003 s
% 1.52/1.47 % (20483)Instructions burned: 4 (million)
% 1.52/1.47 % (20483)------------------------------
% 1.52/1.47 % (20483)------------------------------
% 1.52/1.48 % (20484)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_20351 for (2998ds/30Mi)
% 1.52/1.50 % (20484)Instruction limit reached!
% 1.52/1.50 % (20484)------------------------------
% 1.52/1.50 % (20484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.50 % (20484)Termination reason: Unknown
% 1.52/1.50 % (20484)Termination phase: Saturation
% 1.52/1.50
% 1.52/1.50 % (20484)Memory used [KB]: 5628
% 1.52/1.50 % (20484)Time elapsed: 0.017 s
% 1.52/1.50 % (20484)Instructions burned: 31 (million)
% 1.52/1.50 % (20484)------------------------------
% 1.52/1.50 % (20484)------------------------------
% 1.52/1.53 % (20485)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_20351 for (2997ds/127Mi)
% 1.52/1.57 % (20478)Instruction limit reached!
% 1.52/1.57 % (20478)------------------------------
% 1.52/1.57 % (20478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.57 % (20478)Termination reason: Unknown
% 1.52/1.57 % (20478)Termination phase: Saturation
% 1.52/1.57
% 1.52/1.57 % (20478)Memory used [KB]: 6140
% 1.52/1.57 % (20478)Time elapsed: 0.181 s
% 1.52/1.57 % (20478)Instructions burned: 378 (million)
% 1.52/1.57 % (20478)------------------------------
% 1.52/1.57 % (20478)------------------------------
% 1.52/1.59 % (20486)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_20351 for (2997ds/100Mi)
% 1.52/1.60 % (20485)Instruction limit reached!
% 1.52/1.60 % (20485)------------------------------
% 1.52/1.60 % (20485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.60 % (20485)Termination reason: Unknown
% 1.52/1.60 % (20485)Termination phase: Saturation
% 1.52/1.60
% 1.52/1.60 % (20485)Memory used [KB]: 6012
% 1.52/1.60 % (20485)Time elapsed: 0.098 s
% 1.52/1.60 % (20485)Instructions burned: 127 (million)
% 1.52/1.60 % (20485)------------------------------
% 1.52/1.60 % (20485)------------------------------
% 1.52/1.61 % (20487)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_20351 for (2996ds/3Mi)
% 1.52/1.61 % (20487)Instruction limit reached!
% 1.52/1.61 % (20487)------------------------------
% 1.52/1.61 % (20487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.62 % (20487)Termination reason: Unknown
% 1.52/1.62 % (20487)Termination phase: Saturation
% 1.52/1.62
% 1.52/1.62 % (20487)Memory used [KB]: 1023
% 1.52/1.62 % (20487)Time elapsed: 0.003 s
% 1.52/1.62 % (20487)Instructions burned: 3 (million)
% 1.52/1.62 % (20487)------------------------------
% 1.52/1.62 % (20487)------------------------------
% 1.52/1.62 % (20486)Instruction limit reached!
% 1.52/1.62 % (20486)------------------------------
% 1.52/1.62 % (20486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.62 % (20486)Termination reason: Unknown
% 1.52/1.62 % (20486)Termination phase: Saturation
% 1.52/1.62
% 1.52/1.62 % (20486)Memory used [KB]: 5756
% 1.52/1.62 % (20486)Time elapsed: 0.065 s
% 1.52/1.62 % (20486)Instructions burned: 103 (million)
% 1.52/1.62 % (20486)------------------------------
% 1.52/1.62 % (20486)------------------------------
% 1.52/1.63 % (20489)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_20351 for (2996ds/86Mi)
% 1.52/1.63 % (20488)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_20351 for (2996ds/20Mi)
% 1.52/1.64 % (20488)Instruction limit reached!
% 1.52/1.64 % (20488)------------------------------
% 1.52/1.64 % (20488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.64 % (20488)Termination reason: Unknown
% 1.52/1.64 % (20488)Termination phase: Saturation
% 1.52/1.64
% 1.52/1.64 % (20488)Memory used [KB]: 5628
% 1.52/1.64 % (20488)Time elapsed: 0.034 s
% 1.52/1.64 % (20488)Instructions burned: 21 (million)
% 1.52/1.64 % (20488)------------------------------
% 1.52/1.64 % (20488)------------------------------
% 1.52/1.66 % (20490)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_20351 for (2996ds/107Mi)
% 1.52/1.66 % (20489)Instruction limit reached!
% 1.52/1.66 % (20489)------------------------------
% 1.52/1.66 % (20489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.66 % (20489)Termination reason: Unknown
% 1.52/1.66 % (20489)Termination phase: Saturation
% 1.52/1.66
% 1.52/1.66 % (20489)Memory used [KB]: 5884
% 1.52/1.66 % (20489)Time elapsed: 0.051 s
% 1.52/1.66 % (20489)Instructions burned: 89 (million)
% 1.52/1.66 % (20489)------------------------------
% 1.52/1.66 % (20489)------------------------------
% 1.52/1.67 % (20491)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_20351 for (2996ds/39Mi)
% 1.52/1.68 % (20491)Instruction limit reached!
% 1.52/1.68 % (20491)------------------------------
% 1.52/1.68 % (20491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.68 % (20491)Termination reason: Unknown
% 1.52/1.68 % (20491)Termination phase: Saturation
% 1.52/1.68
% 1.52/1.68 % (20491)Memory used [KB]: 5756
% 1.52/1.68 % (20491)Time elapsed: 0.013 s
% 1.52/1.68 % (20491)Instructions burned: 39 (million)
% 1.52/1.68 % (20491)------------------------------
% 1.52/1.68 % (20491)------------------------------
% 1.52/1.69 % (20492)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_20351 for (2995ds/448Mi)
% 1.52/1.69 % (20463)Instruction limit reached!
% 1.52/1.69 % (20463)------------------------------
% 1.52/1.69 % (20463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.69 % (20463)Termination reason: Unknown
% 1.52/1.69 % (20463)Termination phase: Saturation
% 1.52/1.69
% 1.52/1.69 % (20463)Memory used [KB]: 7931
% 1.52/1.69 % (20463)Time elapsed: 0.373 s
% 1.52/1.69 % (20463)Instructions burned: 1043 (million)
% 1.52/1.69 % (20463)------------------------------
% 1.52/1.69 % (20463)------------------------------
% 1.52/1.70 % (20472)Refutation not found, non-redundant clauses discarded% (20472)------------------------------
% 1.52/1.70 % (20472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.70 % (20472)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.52/1.70
% 1.52/1.70 % (20472)Memory used [KB]: 7036
% 1.52/1.70 % (20472)Time elapsed: 0.337 s
% 1.52/1.70 % (20472)Instructions burned: 709 (million)
% 1.52/1.70 % (20472)------------------------------
% 1.52/1.70 % (20472)------------------------------
% 1.52/1.71 % (20493)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_20351 for (2995ds/46Mi)
% 1.52/1.71 % (20490)Instruction limit reached!
% 1.52/1.71 % (20490)------------------------------
% 1.52/1.71 % (20490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.71 % (20490)Termination reason: Unknown
% 1.52/1.71 % (20490)Termination phase: Saturation
% 1.52/1.71
% 1.52/1.71 % (20490)Memory used [KB]: 6012
% 1.52/1.71 % (20490)Time elapsed: 0.076 s
% 1.52/1.71 % (20490)Instructions burned: 108 (million)
% 1.52/1.71 % (20490)------------------------------
% 1.52/1.71 % (20490)------------------------------
% 1.52/1.73 % (20495)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_20351 for (2995ds/507Mi)
% 1.52/1.73 % (20494)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_20351 for (2995ds/98Mi)
% 1.52/1.73 % (20493)Instruction limit reached!
% 1.52/1.73 % (20493)------------------------------
% 1.52/1.73 % (20493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.73 % (20493)Termination reason: Unknown
% 1.52/1.73 % (20493)Termination phase: Saturation
% 1.52/1.73
% 1.52/1.73 % (20493)Memory used [KB]: 5756
% 1.52/1.73 % (20493)Time elapsed: 0.026 s
% 1.52/1.73 % (20493)Instructions burned: 47 (million)
% 1.52/1.73 % (20493)------------------------------
% 1.52/1.73 % (20493)------------------------------
% 1.52/1.75 % (20496)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_20351 for (2995ds/149Mi)
% 1.52/1.76 % (20479)Instruction limit reached!
% 1.52/1.76 % (20479)------------------------------
% 1.52/1.76 % (20479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.76 % (20479)Termination reason: Unknown
% 1.52/1.76 % (20479)Termination phase: Saturation
% 1.52/1.76
% 1.52/1.76 % (20479)Memory used [KB]: 6780
% 1.52/1.76 % (20479)Time elapsed: 0.366 s
% 1.52/1.76 % (20479)Instructions burned: 780 (million)
% 1.52/1.76 % (20479)------------------------------
% 1.52/1.76 % (20479)------------------------------
% 1.52/1.77 % (20494)Instruction limit reached!
% 1.52/1.77 % (20494)------------------------------
% 1.52/1.77 % (20494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.77 % (20494)Termination reason: Unknown
% 1.52/1.77 % (20494)Termination phase: Saturation
% 1.52/1.77
% 1.52/1.77 % (20494)Memory used [KB]: 1279
% 1.52/1.77 % (20494)Time elapsed: 0.048 s
% 1.52/1.77 % (20494)Instructions burned: 98 (million)
% 1.52/1.77 % (20494)------------------------------
% 1.52/1.77 % (20494)------------------------------
% 1.52/1.78 % (20474)Instruction limit reached!
% 1.52/1.78 % (20474)------------------------------
% 1.52/1.78 % (20474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.78 % (20474)Termination reason: Unknown
% 1.52/1.78 % (20474)Termination phase: Saturation
% 1.52/1.78
% 1.52/1.78 % (20474)Memory used [KB]: 6908
% 1.52/1.78 % (20474)Time elapsed: 0.417 s
% 1.52/1.78 % (20474)Instructions burned: 903 (million)
% 1.52/1.78 % (20474)------------------------------
% 1.52/1.78 % (20474)------------------------------
% 1.52/1.79 % (20497)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_20351 for (2995ds/39Mi)
% 1.52/1.79 % (20498)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_20351 for (2994ds/6Mi)
% 1.52/1.79 % (20499)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_20351 for (2994ds/1087Mi)
% 1.52/1.79 % (20498)Instruction limit reached!
% 1.52/1.79 % (20498)------------------------------
% 1.52/1.79 % (20498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.79 % (20498)Termination reason: Unknown
% 1.52/1.79 % (20498)Termination phase: Saturation
% 1.52/1.79
% 1.52/1.79 % (20498)Memory used [KB]: 9978
% 1.52/1.79 % (20498)Time elapsed: 0.006 s
% 1.52/1.79 % (20498)Instructions burned: 7 (million)
% 1.52/1.79 % (20498)------------------------------
% 1.52/1.79 % (20498)------------------------------
% 1.52/1.81 % (20497)Instruction limit reached!
% 1.52/1.81 % (20497)------------------------------
% 1.52/1.81 % (20497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.81 % (20497)Termination reason: Unknown
% 1.52/1.81 % (20497)Termination phase: Saturation
% 1.52/1.81
% 1.52/1.81 % (20497)Memory used [KB]: 5628
% 1.52/1.81 % (20497)Time elapsed: 0.022 s
% 1.52/1.81 % (20497)Instructions burned: 39 (million)
% 1.52/1.81 % (20497)------------------------------
% 1.52/1.81 % (20497)------------------------------
% 1.52/1.81 % (20507)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_20351 for (2994ds/47Mi)
% 1.52/1.82 % (20496)Instruction limit reached!
% 1.52/1.82 % (20496)------------------------------
% 1.52/1.82 % (20496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.82 % (20496)Termination reason: Unknown
% 1.52/1.82 % (20496)Termination phase: Saturation
% 1.52/1.82
% 1.52/1.82 % (20496)Memory used [KB]: 6140
% 1.52/1.82 % (20496)Time elapsed: 0.067 s
% 1.52/1.82 % (20496)Instructions burned: 150 (million)
% 1.52/1.82 % (20496)------------------------------
% 1.52/1.82 % (20496)------------------------------
% 1.52/1.83 % (20509)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_20351 for (2994ds/432Mi)
% 1.52/1.83 % (20508)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_20351 for (2994ds/44Mi)
% 1.52/1.83 % (20507)Instruction limit reached!
% 1.52/1.83 % (20507)------------------------------
% 1.52/1.83 % (20507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.83 % (20507)Termination reason: Unknown
% 1.52/1.83 % (20507)Termination phase: Saturation
% 1.52/1.83
% 1.52/1.83 % (20507)Memory used [KB]: 5756
% 1.52/1.83 % (20507)Time elapsed: 0.024 s
% 1.52/1.83 % (20507)Instructions burned: 49 (million)
% 1.52/1.83 % (20507)------------------------------
% 1.52/1.83 % (20507)------------------------------
% 1.52/1.84 % (20481)Instruction limit reached!
% 1.52/1.84 % (20481)------------------------------
% 1.52/1.84 % (20481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.84 % (20481)Termination reason: Unknown
% 1.52/1.84 % (20481)Termination phase: Saturation
% 1.52/1.84
% 1.52/1.84 % (20481)Memory used [KB]: 7164
% 1.52/1.84 % (20481)Time elapsed: 0.413 s
% 1.52/1.84 % (20481)Instructions burned: 879 (million)
% 1.52/1.84 % (20481)------------------------------
% 1.52/1.84 % (20481)------------------------------
% 1.52/1.84 % (20508)Instruction limit reached!
% 1.52/1.84 % (20508)------------------------------
% 1.52/1.84 % (20508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.84 % (20508)Termination reason: Unknown
% 1.52/1.84 % (20508)Termination phase: Saturation
% 1.52/1.84
% 1.52/1.84 % (20508)Memory used [KB]: 1279
% 1.52/1.84 % (20508)Time elapsed: 0.016 s
% 1.52/1.84 % (20508)Instructions burned: 44 (million)
% 1.52/1.84 % (20508)------------------------------
% 1.52/1.84 % (20508)------------------------------
% 1.52/1.84 % (20511)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_20351 for (2994ds/62Mi)
% 1.52/1.84 % (20492)Instruction limit reached!
% 1.52/1.84 % (20492)------------------------------
% 1.52/1.84 % (20492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.84 % (20492)Termination reason: Unknown
% 1.52/1.84 % (20492)Termination phase: Saturation
% 1.52/1.84
% 1.52/1.84 % (20492)Memory used [KB]: 6396
% 1.52/1.84 % (20492)Time elapsed: 0.153 s
% 1.52/1.84 % (20492)Instructions burned: 450 (million)
% 1.52/1.84 % (20492)------------------------------
% 1.52/1.84 % (20492)------------------------------
% 1.52/1.85 % (20513)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_20351 for (2994ds/31Mi)
% 1.52/1.85 % (20515)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_20351 for (2994ds/96Mi)
% 1.52/1.85 % (20517)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_20351 for (2994ds/453Mi)
% 1.52/1.86 % (20513)Instruction limit reached!
% 1.52/1.86 % (20513)------------------------------
% 1.52/1.86 % (20513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.86 % (20513)Termination reason: Unknown
% 1.52/1.86 % (20513)Termination phase: Saturation
% 1.52/1.86
% 1.52/1.86 % (20513)Memory used [KB]: 5756
% 1.52/1.86 % (20513)Time elapsed: 0.012 s
% 1.52/1.86 % (20513)Instructions burned: 31 (million)
% 1.52/1.86 % (20513)------------------------------
% 1.52/1.86 % (20513)------------------------------
% 1.52/1.86 % (20511)Instruction limit reached!
% 1.52/1.86 % (20511)------------------------------
% 1.52/1.86 % (20511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.86 % (20511)Termination reason: Unknown
% 1.52/1.86 % (20511)Termination phase: Saturation
% 1.52/1.86
% 1.52/1.86 % (20511)Memory used [KB]: 5884
% 1.52/1.86 % (20511)Time elapsed: 0.021 s
% 1.52/1.86 % (20511)Instructions burned: 64 (million)
% 1.52/1.86 % (20511)------------------------------
% 1.52/1.86 % (20511)------------------------------
% 1.52/1.87 % (20524)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_20351 for (2994ds/71Mi)
% 1.52/1.87 % (20528)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_20351 for (2994ds/83Mi)
% 1.52/1.88 % (20515)Instruction limit reached!
% 1.52/1.88 % (20515)------------------------------
% 1.52/1.88 % (20515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.88 % (20515)Termination reason: Unknown
% 1.52/1.88 % (20515)Termination phase: Saturation
% 1.52/1.88
% 1.52/1.88 % (20515)Memory used [KB]: 5884
% 1.52/1.88 % (20515)Time elapsed: 0.032 s
% 1.52/1.88 % (20515)Instructions burned: 96 (million)
% 1.52/1.88 % (20515)------------------------------
% 1.52/1.88 % (20515)------------------------------
% 1.52/1.89 % (20524)Instruction limit reached!
% 1.52/1.89 % (20524)------------------------------
% 1.52/1.89 % (20524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.89 % (20524)Termination reason: Unknown
% 1.52/1.89 % (20524)Termination phase: Saturation
% 1.52/1.89
% 1.52/1.89 % (20524)Memory used [KB]: 5884
% 1.52/1.89 % (20524)Time elapsed: 0.025 s
% 1.52/1.89 % (20524)Instructions burned: 73 (million)
% 1.52/1.89 % (20524)------------------------------
% 1.52/1.89 % (20524)------------------------------
% 1.52/1.89 % (20539)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_20351 for (2993ds/11Mi)
% 1.52/1.89 % (20539)Instruction limit reached!
% 1.52/1.89 % (20539)------------------------------
% 1.52/1.89 % (20539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.89 % (20539)Termination reason: Unknown
% 1.52/1.89 % (20539)Termination phase: Saturation
% 1.52/1.89
% 1.52/1.89 % (20539)Memory used [KB]: 5500
% 1.52/1.89 % (20539)Time elapsed: 0.005 s
% 1.52/1.89 % (20539)Instructions burned: 13 (million)
% 1.52/1.89 % (20539)------------------------------
% 1.52/1.89 % (20539)------------------------------
% 1.52/1.90 % (20528)Instruction limit reached!
% 1.52/1.90 % (20528)------------------------------
% 1.52/1.90 % (20528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.90 % (20528)Termination reason: Unknown
% 1.52/1.90 % (20528)Termination phase: Saturation
% 1.52/1.90
% 1.52/1.90 % (20528)Memory used [KB]: 5884
% 1.52/1.90 % (20528)Time elapsed: 0.027 s
% 1.52/1.90 % (20528)Instructions burned: 85 (million)
% 1.52/1.90 % (20528)------------------------------
% 1.52/1.90 % (20528)------------------------------
% 1.52/1.90 % (20543)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_20351 for (2993ds/41Mi)
% 1.52/1.90 % (20547)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_20351 for (2993ds/6Mi)
% 1.52/1.91 % (20547)Instruction limit reached!
% 1.52/1.91 % (20547)------------------------------
% 1.52/1.91 % (20547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.91 % (20547)Termination reason: Unknown
% 1.52/1.91 % (20547)Termination phase: Saturation
% 1.52/1.91
% 1.52/1.91 % (20547)Memory used [KB]: 5500
% 1.52/1.91 % (20547)Time elapsed: 0.003 s
% 1.52/1.91 % (20547)Instructions burned: 6 (million)
% 1.52/1.91 % (20547)------------------------------
% 1.52/1.91 % (20547)------------------------------
% 1.52/1.91 % (20550)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_20351 for (2993ds/150Mi)
% 1.52/1.91 % (20543)Instruction limit reached!
% 1.52/1.91 % (20543)------------------------------
% 1.52/1.91 % (20543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.91 % (20543)Termination reason: Unknown
% 1.52/1.91 % (20543)Termination phase: Saturation
% 1.52/1.91
% 1.52/1.91 % (20543)Memory used [KB]: 5628
% 1.52/1.91 % (20543)Time elapsed: 0.014 s
% 1.52/1.91 % (20543)Instructions burned: 42 (million)
% 1.52/1.91 % (20543)------------------------------
% 1.52/1.91 % (20543)------------------------------
% 1.52/1.92 % (20556)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_20351 for (2993ds/343Mi)
% 1.52/1.92 % (20560)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_20351 for (2993ds/109Mi)
% 1.52/1.92 % (20495)Instruction limit reached!
% 1.52/1.92 % (20495)------------------------------
% 1.52/1.92 % (20495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.92 % (20495)Termination reason: Unknown
% 1.52/1.92 % (20495)Termination phase: Saturation
% 1.52/1.92
% 1.52/1.92 % (20495)Memory used [KB]: 6780
% 1.52/1.92 % (20495)Time elapsed: 0.197 s
% 1.52/1.92 % (20495)Instructions burned: 509 (million)
% 1.52/1.92 % (20495)------------------------------
% 1.52/1.92 % (20495)------------------------------
% 1.52/1.93 % (20564)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_20351 for (2993ds/253Mi)
% 1.52/1.95 % (20550)Instruction limit reached!
% 1.52/1.95 % (20550)------------------------------
% 1.52/1.95 % (20550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.95 % (20550)Termination reason: Unknown
% 1.52/1.95 % (20550)Termination phase: Saturation
% 1.52/1.95
% 1.52/1.95 % (20550)Memory used [KB]: 6012
% 1.52/1.95 % (20550)Time elapsed: 0.048 s
% 1.52/1.95 % (20550)Instructions burned: 150 (million)
% 1.52/1.95 % (20550)------------------------------
% 1.52/1.95 % (20550)------------------------------
% 1.52/1.95 % (20509)Instruction limit reached!
% 1.52/1.95 % (20509)------------------------------
% 1.52/1.95 % (20509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.95 % (20509)Termination reason: Unknown
% 1.52/1.95 % (20509)Termination phase: Saturation
% 1.52/1.95
% 1.52/1.95 % (20509)Memory used [KB]: 3070
% 1.52/1.95 % (20509)Time elapsed: 0.130 s
% 1.52/1.95 % (20509)Instructions burned: 433 (million)
% 1.52/1.95 % (20509)------------------------------
% 1.52/1.95 % (20509)------------------------------
% 1.52/1.96 % (20560)Instruction limit reached!
% 1.52/1.96 % (20560)------------------------------
% 1.52/1.96 % (20560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.96 % (20560)Termination reason: Unknown
% 1.52/1.96 % (20560)Termination phase: Saturation
% 1.52/1.96
% 1.52/1.96 % (20560)Memory used [KB]: 6140
% 1.52/1.96 % (20560)Time elapsed: 0.036 s
% 1.52/1.96 % (20560)Instructions burned: 111 (million)
% 1.52/1.96 % (20560)------------------------------
% 1.52/1.96 % (20560)------------------------------
% 1.52/1.96 % (20578)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_20351 for (2993ds/140Mi)
% 1.52/1.96 % (20579)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_20351 for (2993ds/614Mi)
% 1.52/1.97 % (20580)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_20351 for (2993ds/202Mi)
% 1.52/1.99 % (20517)Instruction limit reached!
% 1.52/1.99 % (20517)------------------------------
% 1.52/1.99 % (20517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.99 % (20517)Termination reason: Unknown
% 1.52/1.99 % (20517)Termination phase: Saturation
% 1.52/1.99
% 1.52/1.99 % (20517)Memory used [KB]: 6268
% 1.52/1.99 % (20517)Time elapsed: 0.136 s
% 1.52/1.99 % (20517)Instructions burned: 453 (million)
% 1.52/1.99 % (20517)------------------------------
% 1.52/1.99 % (20517)------------------------------
% 1.52/2.00 % (20592)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_20351 for (2992ds/339Mi)
% 1.52/2.01 % (20578)Instruction limit reached!
% 1.52/2.01 % (20578)------------------------------
% 1.52/2.01 % (20578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/2.01 % (20578)Termination reason: Unknown
% 1.52/2.01 % (20578)Termination phase: Saturation
% 1.52/2.01
% 1.52/2.01 % (20578)Memory used [KB]: 6140
% 1.52/2.01 % (20578)Time elapsed: 0.046 s
% 1.52/2.01 % (20578)Instructions burned: 142 (million)
% 1.52/2.01 % (20578)------------------------------
% 1.52/2.01 % (20578)------------------------------
% 1.52/2.01 % (20564)Instruction limit reached!
% 1.52/2.01 % (20564)------------------------------
% 1.52/2.01 % (20564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/2.01 % (20564)Termination reason: Unknown
% 1.52/2.01 % (20564)Termination phase: Saturation
% 1.52/2.01
% 1.52/2.01 % (20564)Memory used [KB]: 6012
% 1.52/2.01 % (20564)Time elapsed: 0.079 s
% 1.52/2.01 % (20564)Instructions burned: 254 (million)
% 1.52/2.01 % (20564)------------------------------
% 1.52/2.01 % (20564)------------------------------
% 6.54/2.02 % (20602)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_20351 for (2992ds/283Mi)
% 6.54/2.02 % (20605)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_20351 for (2992ds/134Mi)
% 6.54/2.02 % (20556)Instruction limit reached!
% 6.54/2.02 % (20556)------------------------------
% 6.54/2.02 % (20556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.02 % (20556)Termination reason: Unknown
% 6.54/2.02 % (20556)Termination phase: Saturation
% 6.54/2.02
% 6.54/2.02 % (20556)Memory used [KB]: 6652
% 6.54/2.02 % (20556)Time elapsed: 0.109 s
% 6.54/2.02 % (20556)Instructions burned: 343 (million)
% 6.54/2.02 % (20556)------------------------------
% 6.54/2.02 % (20556)------------------------------
% 6.54/2.03 % (20580)Instruction limit reached!
% 6.54/2.03 % (20580)------------------------------
% 6.54/2.03 % (20580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.03 % (20580)Termination reason: Unknown
% 6.54/2.03 % (20580)Termination phase: Saturation
% 6.54/2.03
% 6.54/2.03 % (20580)Memory used [KB]: 6140
% 6.54/2.03 % (20580)Time elapsed: 0.065 s
% 6.54/2.03 % (20580)Instructions burned: 202 (million)
% 6.54/2.03 % (20580)------------------------------
% 6.54/2.03 % (20580)------------------------------
% 6.54/2.03 % (20613)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_20351 for (2992ds/298Mi)
% 6.54/2.04 % (20616)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_20351 for (2992ds/192Mi)
% 6.54/2.06 % (20605)Instruction limit reached!
% 6.54/2.06 % (20605)------------------------------
% 6.54/2.06 % (20605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.06 % (20605)Termination reason: Unknown
% 6.54/2.06 % (20605)Termination phase: Saturation
% 6.54/2.06
% 6.54/2.06 % (20605)Memory used [KB]: 6268
% 6.54/2.06 % (20605)Time elapsed: 0.043 s
% 6.54/2.06 % (20605)Instructions burned: 134 (million)
% 6.54/2.06 % (20605)------------------------------
% 6.54/2.06 % (20605)------------------------------
% 6.54/2.07 % (20635)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_20351 for (2992ds/258Mi)
% 6.54/2.10 % (20616)Instruction limit reached!
% 6.54/2.10 % (20616)------------------------------
% 6.54/2.10 % (20616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.10 % (20616)Termination reason: Unknown
% 6.54/2.10 % (20616)Termination phase: Saturation
% 6.54/2.10
% 6.54/2.10 % (20616)Memory used [KB]: 6140
% 6.54/2.10 % (20616)Time elapsed: 0.061 s
% 6.54/2.10 % (20616)Instructions burned: 194 (million)
% 6.54/2.10 % (20616)------------------------------
% 6.54/2.10 % (20616)------------------------------
% 6.54/2.10 % (20602)Instruction limit reached!
% 6.54/2.10 % (20602)------------------------------
% 6.54/2.10 % (20602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.10 % (20602)Termination reason: Unknown
% 6.54/2.10 % (20602)Termination phase: Saturation
% 6.54/2.10
% 6.54/2.10 % (20602)Memory used [KB]: 7675
% 6.54/2.10 % (20602)Time elapsed: 0.083 s
% 6.54/2.10 % (20602)Instructions burned: 284 (million)
% 6.54/2.10 % (20602)------------------------------
% 6.54/2.10 % (20602)------------------------------
% 6.54/2.10 % (20592)Instruction limit reached!
% 6.54/2.10 % (20592)------------------------------
% 6.54/2.10 % (20592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.10 % (20592)Termination reason: Unknown
% 6.54/2.10 % (20592)Termination phase: Saturation
% 6.54/2.10
% 6.54/2.10 % (20592)Memory used [KB]: 6140
% 6.54/2.10 % (20592)Time elapsed: 0.107 s
% 6.54/2.10 % (20592)Instructions burned: 340 (million)
% 6.54/2.10 % (20592)------------------------------
% 6.54/2.10 % (20592)------------------------------
% 6.54/2.11 % (20656)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_20351 for (2991ds/90Mi)
% 6.54/2.11 % (20658)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_20351 for (2991ds/231Mi)
% 7.10/2.11 % (20659)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_20351 for (2991ds/458Mi)
% 7.10/2.12 % (20613)Instruction limit reached!
% 7.10/2.12 % (20613)------------------------------
% 7.10/2.12 % (20613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.10/2.12 % (20613)Termination reason: Unknown
% 7.10/2.12 % (20613)Termination phase: Saturation
% 7.10/2.12
% 7.10/2.12 % (20613)Memory used [KB]: 6140
% 7.10/2.12 % (20613)Time elapsed: 0.091 s
% 7.10/2.12 % (20613)Instructions burned: 299 (million)
% 7.10/2.12 % (20613)------------------------------
% 7.10/2.12 % (20613)------------------------------
% 7.10/2.13 % (20666)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_20351 for (2991ds/31Mi)
% 7.10/2.14 % (20656)Instruction limit reached!
% 7.10/2.14 % (20656)------------------------------
% 7.10/2.14 % (20656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.10/2.14 % (20656)Termination reason: Unknown
% 7.10/2.14 % (20656)Termination phase: Saturation
% 7.10/2.14
% 7.10/2.14 % (20656)Memory used [KB]: 6012
% 7.10/2.14 % (20656)Time elapsed: 0.029 s
% 7.10/2.14 % (20656)Instructions burned: 91 (million)
% 7.10/2.14 % (20656)------------------------------
% 7.10/2.14 % (20656)------------------------------
% 7.10/2.14 % (20499)Instruction limit reached!
% 7.10/2.14 % (20499)------------------------------
% 7.10/2.14 % (20499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.10/2.14 % (20499)Termination reason: Unknown
% 7.10/2.14 % (20499)Termination phase: Saturation
% 7.10/2.14
% 7.10/2.14 % (20499)Memory used [KB]: 7164
% 7.10/2.14 % (20499)Time elapsed: 0.347 s
% 7.10/2.14 % (20499)Instructions burned: 1089 (million)
% 7.10/2.14 % (20499)------------------------------
% 7.10/2.14 % (20499)------------------------------
% 7.10/2.14 % (20666)Instruction limit reached!
% 7.10/2.14 % (20666)------------------------------
% 7.10/2.14 % (20666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.10/2.14 % (20666)Termination reason: Unknown
% 7.10/2.14 % (20666)Termination phase: Saturation
% 7.10/2.14
% 7.10/2.14 % (20666)Memory used [KB]: 5756
% 7.10/2.14 % (20666)Time elapsed: 0.033 s
% 7.10/2.14 % (20666)Instructions burned: 31 (million)
% 7.10/2.14 % (20666)------------------------------
% 7.10/2.14 % (20666)------------------------------
% 7.10/2.15 % (20675)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_20351 for (2991ds/297Mi)
% 7.10/2.15 % (20579)Instruction limit reached!
% 7.10/2.15 % (20579)------------------------------
% 7.10/2.15 % (20579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.10/2.15 % (20579)Termination reason: Unknown
% 7.10/2.15 % (20579)Termination phase: Saturation
% 7.10/2.15
% 7.10/2.15 % (20579)Memory used [KB]: 6780
% 7.10/2.15 % (20579)Time elapsed: 0.186 s
% 7.10/2.15 % (20579)Instructions burned: 616 (million)
% 7.10/2.15 % (20579)------------------------------
% 7.10/2.15 % (20579)------------------------------
% 7.10/2.15 % (20677)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_20351 for (2991ds/987Mi)
% 7.10/2.15 % (20678)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_20351 for (2991ds/182Mi)
% 7.10/2.15 % (20635)Instruction limit reached!
% 7.10/2.15 % (20635)------------------------------
% 7.10/2.15 % (20635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.10/2.15 % (20635)Termination reason: Unknown
% 7.10/2.15 % (20635)Termination phase: Saturation
% 7.10/2.15
% 7.10/2.15 % (20635)Memory used [KB]: 6012
% 7.10/2.15 % (20635)Time elapsed: 0.081 s
% 7.10/2.15 % (20635)Instructions burned: 261 (million)
% 7.10/2.15 % (20635)------------------------------
% 7.10/2.15 % (20635)------------------------------
% 7.10/2.16 % (20682)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_20351 for (2991ds/182Mi)
% 7.10/2.16 % (20684)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_20351 for (2991ds/154Mi)
% 7.10/2.17 % (20658)Instruction limit reached!
% 7.10/2.17 % (20658)------------------------------
% 7.10/2.17 % (20658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.10/2.17 % (20658)Termination reason: Unknown
% 7.10/2.17 % (20658)Termination phase: Saturation
% 7.10/2.17
% 7.10/2.17 % (20658)Memory used [KB]: 5884
% 7.10/2.17 % (20658)Time elapsed: 0.084 s
% 7.10/2.17 % (20658)Instructions burned: 231 (million)
% 7.10/2.17 % (20658)------------------------------
% 7.10/2.17 % (20658)------------------------------
% 7.10/2.18 % (20691)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_20351 for (2991ds/79Mi)
% 7.50/2.21 % (20691)Instruction limit reached!
% 7.50/2.21 % (20691)------------------------------
% 7.50/2.21 % (20691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.21 % (20691)Termination reason: Unknown
% 7.50/2.21 % (20691)Termination phase: Saturation
% 7.50/2.21
% 7.50/2.21 % (20691)Memory used [KB]: 5884
% 7.50/2.21 % (20691)Time elapsed: 0.026 s
% 7.50/2.21 % (20691)Instructions burned: 81 (million)
% 7.50/2.21 % (20691)------------------------------
% 7.50/2.21 % (20691)------------------------------
% 7.50/2.21 % (20678)Instruction limit reached!
% 7.50/2.21 % (20678)------------------------------
% 7.50/2.21 % (20678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.21 % (20678)Termination reason: Unknown
% 7.50/2.21 % (20678)Termination phase: Saturation
% 7.50/2.21
% 7.50/2.21 % (20678)Memory used [KB]: 6652
% 7.50/2.21 % (20678)Time elapsed: 0.055 s
% 7.50/2.21 % (20678)Instructions burned: 183 (million)
% 7.50/2.21 % (20678)------------------------------
% 7.50/2.21 % (20678)------------------------------
% 7.50/2.21 % (20684)Instruction limit reached!
% 7.50/2.21 % (20684)------------------------------
% 7.50/2.21 % (20684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.21 % (20684)Termination reason: Unknown
% 7.50/2.21 % (20684)Termination phase: Saturation
% 7.50/2.21
% 7.50/2.21 % (20684)Memory used [KB]: 5884
% 7.50/2.21 % (20684)Time elapsed: 0.047 s
% 7.50/2.21 % (20684)Instructions burned: 156 (million)
% 7.50/2.21 % (20684)------------------------------
% 7.50/2.21 % (20684)------------------------------
% 7.50/2.21 % (20707)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_20351 for (2990ds/216Mi)
% 7.50/2.22 % (20708)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_20351 for (2990ds/114Mi)
% 7.50/2.22 % (20682)Instruction limit reached!
% 7.50/2.22 % (20682)------------------------------
% 7.50/2.22 % (20682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.22 % (20682)Termination reason: Unknown
% 7.50/2.22 % (20682)Termination phase: Saturation
% 7.50/2.22
% 7.50/2.22 % (20682)Memory used [KB]: 6012
% 7.50/2.22 % (20682)Time elapsed: 0.058 s
% 7.50/2.22 % (20682)Instructions burned: 185 (million)
% 7.50/2.22 % (20682)------------------------------
% 7.50/2.22 % (20682)------------------------------
% 7.50/2.22 % (20709)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_20351 for (2990ds/922Mi)
% 7.50/2.23 % (20712)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_20351 for (2990ds/182Mi)
% 7.50/2.24 % (20675)Instruction limit reached!
% 7.50/2.24 % (20675)------------------------------
% 7.50/2.24 % (20675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.24 % (20675)Termination reason: Unknown
% 7.50/2.24 % (20675)Termination phase: Saturation
% 7.50/2.24
% 7.50/2.24 % (20675)Memory used [KB]: 6652
% 7.50/2.24 % (20675)Time elapsed: 0.119 s
% 7.50/2.24 % (20675)Instructions burned: 298 (million)
% 7.50/2.24 % (20675)------------------------------
% 7.50/2.24 % (20675)------------------------------
% 7.50/2.25 % (20708)Instruction limit reached!
% 7.50/2.25 % (20708)------------------------------
% 7.50/2.25 % (20708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.25 % (20708)Termination reason: Unknown
% 7.50/2.25 % (20708)Termination phase: Saturation
% 7.50/2.25
% 7.50/2.25 % (20708)Memory used [KB]: 6268
% 7.50/2.25 % (20708)Time elapsed: 0.037 s
% 7.50/2.25 % (20708)Instructions burned: 117 (million)
% 7.50/2.25 % (20708)------------------------------
% 7.50/2.25 % (20708)------------------------------
% 7.50/2.25 % (20721)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_20351 for (2990ds/164Mi)
% 7.50/2.25 % (20659)Instruction limit reached!
% 7.50/2.25 % (20659)------------------------------
% 7.50/2.25 % (20659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.25 % (20659)Termination reason: Unknown
% 7.50/2.25 % (20659)Termination phase: Saturation
% 7.50/2.25
% 7.50/2.25 % (20659)Memory used [KB]: 6652
% 7.50/2.25 % (20659)Time elapsed: 0.164 s
% 7.50/2.25 % (20659)Instructions burned: 458 (million)
% 7.50/2.25 % (20659)------------------------------
% 7.50/2.25 % (20659)------------------------------
% 7.50/2.26 % (20724)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_20351 for (2990ds/50Mi)
% 7.50/2.26 % (20725)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_20351 for (2990ds/368Mi)
% 7.50/2.28 % (20724)Instruction limit reached!
% 7.50/2.28 % (20724)------------------------------
% 7.50/2.28 % (20724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.28 % (20724)Termination reason: Unknown
% 7.50/2.28 % (20724)Termination phase: Saturation
% 7.50/2.28
% 7.50/2.28 % (20724)Memory used [KB]: 10362
% 7.50/2.28 % (20724)Time elapsed: 0.018 s
% 7.50/2.28 % (20724)Instructions burned: 52 (million)
% 7.50/2.28 % (20724)------------------------------
% 7.50/2.28 % (20724)------------------------------
% 7.50/2.28 % (20712)Instruction limit reached!
% 7.50/2.28 % (20712)------------------------------
% 7.50/2.28 % (20712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.28 % (20712)Termination reason: Unknown
% 7.50/2.28 % (20712)Termination phase: Saturation
% 7.50/2.28
% 7.50/2.28 % (20712)Memory used [KB]: 5756
% 7.50/2.28 % (20712)Time elapsed: 0.056 s
% 7.50/2.28 % (20712)Instructions burned: 182 (million)
% 7.50/2.28 % (20712)------------------------------
% 7.50/2.28 % (20712)------------------------------
% 7.50/2.28 % (20707)Instruction limit reached!
% 7.50/2.28 % (20707)------------------------------
% 7.50/2.28 % (20707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.28 % (20707)Termination reason: Unknown
% 7.50/2.28 % (20707)Termination phase: Saturation
% 7.50/2.28
% 7.50/2.28 % (20707)Memory used [KB]: 6140
% 7.50/2.28 % (20707)Time elapsed: 0.067 s
% 7.50/2.28 % (20707)Instructions burned: 219 (million)
% 7.50/2.28 % (20707)------------------------------
% 7.50/2.28 % (20707)------------------------------
% 7.50/2.29 % (20738)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_20351 for (2989ds/1021Mi)
% 7.50/2.29 % (20740)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_20351 for (2989ds/267Mi)
% 7.50/2.29 % (20741)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_20351 for (2989ds/204Mi)
% 8.18/2.30 % (20721)Instruction limit reached!
% 8.18/2.30 % (20721)------------------------------
% 8.18/2.30 % (20721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.30 % (20721)Termination reason: Unknown
% 8.18/2.30 % (20721)Termination phase: Saturation
% 8.18/2.30
% 8.18/2.30 % (20721)Memory used [KB]: 1535
% 8.18/2.30 % (20721)Time elapsed: 0.052 s
% 8.18/2.30 % (20721)Instructions burned: 164 (million)
% 8.18/2.30 % (20721)------------------------------
% 8.18/2.30 % (20721)------------------------------
% 8.18/2.31 % (20747)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_20351 for (2989ds/26Mi)
% 8.18/2.32 % (20747)Instruction limit reached!
% 8.18/2.32 % (20747)------------------------------
% 8.18/2.32 % (20747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.32 % (20747)Termination reason: Unknown
% 8.18/2.32 % (20747)Termination phase: Saturation
% 8.18/2.32
% 8.18/2.32 % (20747)Memory used [KB]: 5628
% 8.18/2.32 % (20747)Time elapsed: 0.009 s
% 8.18/2.32 % (20747)Instructions burned: 26 (million)
% 8.18/2.32 % (20747)------------------------------
% 8.18/2.32 % (20747)------------------------------
% 8.18/2.33 % (20759)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_20351 for (2989ds/53Mi)
% 8.18/2.35 % (20759)Instruction limit reached!
% 8.18/2.35 % (20759)------------------------------
% 8.18/2.35 % (20759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.35 % (20759)Termination reason: Unknown
% 8.18/2.35 % (20759)Termination phase: Saturation
% 8.18/2.35
% 8.18/2.35 % (20759)Memory used [KB]: 6012
% 8.18/2.35 % (20759)Time elapsed: 0.018 s
% 8.18/2.35 % (20759)Instructions burned: 54 (million)
% 8.18/2.35 % (20759)------------------------------
% 8.18/2.35 % (20759)------------------------------
% 8.18/2.36 % (20741)Instruction limit reached!
% 8.18/2.36 % (20741)------------------------------
% 8.18/2.36 % (20741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.36 % (20741)Termination reason: Unknown
% 8.18/2.36 % (20741)Termination phase: Saturation
% 8.18/2.36
% 8.18/2.36 % (20741)Memory used [KB]: 6140
% 8.18/2.36 % (20741)Time elapsed: 0.066 s
% 8.18/2.36 % (20741)Instructions burned: 207 (million)
% 8.18/2.36 % (20741)------------------------------
% 8.18/2.36 % (20741)------------------------------
% 8.18/2.36 % (20779)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_20351 for (2989ds/4436Mi)
% 8.18/2.37 % (20740)Instruction limit reached!
% 8.18/2.37 % (20740)------------------------------
% 8.18/2.37 % (20740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.37 % (20740)Termination reason: Unknown
% 8.18/2.37 % (20740)Termination phase: Saturation
% 8.18/2.37
% 8.18/2.37 % (20740)Memory used [KB]: 6140
% 8.18/2.37 % (20740)Time elapsed: 0.084 s
% 8.18/2.37 % (20740)Instructions burned: 267 (million)
% 8.18/2.37 % (20740)------------------------------
% 8.18/2.37 % (20740)------------------------------
% 8.18/2.37 % (20784)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_20351 for (2989ds/1539Mi)
% 8.18/2.37 % (20725)Instruction limit reached!
% 8.18/2.37 % (20725)------------------------------
% 8.18/2.37 % (20725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.37 % (20725)Termination reason: Unknown
% 8.18/2.37 % (20725)Termination phase: Saturation
% 8.18/2.37
% 8.18/2.37 % (20725)Memory used [KB]: 6780
% 8.18/2.37 % (20725)Time elapsed: 0.113 s
% 8.18/2.37 % (20725)Instructions burned: 368 (million)
% 8.18/2.37 % (20725)------------------------------
% 8.18/2.37 % (20725)------------------------------
% 8.18/2.38 % (20790)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_20351 for (2989ds/408Mi)
% 8.18/2.38 % (20791)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_20351 for (2989ds/5205Mi)
% 8.58/2.45 % (20677)Instruction limit reached!
% 8.58/2.45 % (20677)------------------------------
% 8.58/2.45 % (20677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.58/2.45 % (20677)Termination reason: Unknown
% 8.58/2.45 % (20677)Termination phase: Saturation
% 8.58/2.45
% 8.58/2.45 % (20677)Memory used [KB]: 7675
% 8.58/2.45 % (20677)Time elapsed: 0.302 s
% 8.58/2.45 % (20677)Instructions burned: 987 (million)
% 8.58/2.45 % (20677)------------------------------
% 8.58/2.45 % (20677)------------------------------
% 8.58/2.46 % (20792)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_20351 for (2988ds/1913Mi)
% 8.89/2.50 % (20709)Instruction limit reached!
% 8.89/2.50 % (20709)------------------------------
% 8.89/2.50 % (20709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.89/2.50 % (20709)Termination reason: Unknown
% 8.89/2.50 % (20709)Termination phase: Saturation
% 8.89/2.50
% 8.89/2.50 % (20709)Memory used [KB]: 7036
% 8.89/2.50 % (20709)Time elapsed: 0.286 s
% 8.89/2.50 % (20709)Instructions burned: 922 (million)
% 8.89/2.50 % (20709)------------------------------
% 8.89/2.50 % (20709)------------------------------
% 8.89/2.51 % (20790)Instruction limit reached!
% 8.89/2.51 % (20790)------------------------------
% 8.89/2.51 % (20790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.89/2.51 % (20790)Termination reason: Unknown
% 8.89/2.51 % (20790)Termination phase: Saturation
% 8.89/2.51
% 8.89/2.51 % (20790)Memory used [KB]: 6652
% 8.89/2.51 % (20790)Time elapsed: 0.126 s
% 8.89/2.51 % (20790)Instructions burned: 410 (million)
% 8.89/2.51 % (20790)------------------------------
% 8.89/2.51 % (20790)------------------------------
% 8.89/2.51 % (20793)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_20351 for (2987ds/4350Mi)
% 8.89/2.52 % (20794)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_20351 for (2987ds/68Mi)
% 8.89/2.54 % (20794)Instruction limit reached!
% 8.89/2.54 % (20794)------------------------------
% 8.89/2.54 % (20794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.89/2.54 % (20794)Termination reason: Unknown
% 8.89/2.54 % (20794)Termination phase: Saturation
% 8.89/2.54
% 8.89/2.54 % (20794)Memory used [KB]: 6012
% 8.89/2.54 % (20794)Time elapsed: 0.023 s
% 8.89/2.54 % (20794)Instructions burned: 69 (million)
% 8.89/2.54 % (20794)------------------------------
% 8.89/2.54 % (20794)------------------------------
% 8.89/2.55 % (20795)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_20351 for (2987ds/358Mi)
% 8.89/2.59 % (20738)Instruction limit reached!
% 8.89/2.59 % (20738)------------------------------
% 8.89/2.59 % (20738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.89/2.59 % (20738)Termination reason: Unknown
% 8.89/2.59 % (20738)Termination phase: Saturation
% 8.89/2.59
% 8.89/2.59 % (20738)Memory used [KB]: 6780
% 8.89/2.59 % (20738)Time elapsed: 0.302 s
% 8.89/2.59 % (20738)Instructions burned: 1024 (million)
% 8.89/2.59 % (20738)------------------------------
% 8.89/2.59 % (20738)------------------------------
% 9.67/2.60 % (20796)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_20351 for (2986ds/31Mi)
% 9.67/2.61 % (20796)Instruction limit reached!
% 9.67/2.61 % (20796)------------------------------
% 9.67/2.61 % (20796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.67/2.61 % (20796)Termination reason: Unknown
% 9.67/2.61 % (20796)Termination phase: Saturation
% 9.67/2.61
% 9.67/2.61 % (20796)Memory used [KB]: 5756
% 9.67/2.61 % (20796)Time elapsed: 0.011 s
% 9.67/2.61 % (20796)Instructions burned: 31 (million)
% 9.67/2.61 % (20796)------------------------------
% 9.67/2.61 % (20796)------------------------------
% 9.67/2.62 % (20797)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_20351 for (2986ds/279Mi)
% 9.67/2.66 % (20795)Instruction limit reached!
% 9.67/2.66 % (20795)------------------------------
% 9.67/2.66 % (20795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.67/2.66 % (20795)Termination reason: Unknown
% 9.67/2.66 % (20795)Termination phase: Saturation
% 9.67/2.66
% 9.67/2.66 % (20795)Memory used [KB]: 6268
% 9.67/2.66 % (20795)Time elapsed: 0.111 s
% 9.67/2.66 % (20795)Instructions burned: 359 (million)
% 9.67/2.66 % (20795)------------------------------
% 9.67/2.66 % (20795)------------------------------
% 9.67/2.67 % (20798)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_20351 for (2986ds/258Mi)
% 9.81/2.70 % (20797)Instruction limit reached!
% 9.81/2.70 % (20797)------------------------------
% 9.81/2.70 % (20797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.81/2.70 % (20797)Termination reason: Unknown
% 9.81/2.70 % (20797)Termination phase: Saturation
% 9.81/2.70
% 9.81/2.70 % (20797)Memory used [KB]: 6012
% 9.81/2.70 % (20797)Time elapsed: 0.087 s
% 9.81/2.70 % (20797)Instructions burned: 281 (million)
% 9.81/2.70 % (20797)------------------------------
% 9.81/2.70 % (20797)------------------------------
% 9.81/2.71 % (20799)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_20351 for (2985ds/26Mi)
% 9.81/2.72 % (20799)Instruction limit reached!
% 9.81/2.72 % (20799)------------------------------
% 9.81/2.72 % (20799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.81/2.72 % (20799)Termination reason: Unknown
% 9.81/2.72 % (20799)Termination phase: Saturation
% 9.81/2.72
% 9.81/2.72 % (20799)Memory used [KB]: 5628
% 9.81/2.72 % (20799)Time elapsed: 0.009 s
% 9.81/2.72 % (20799)Instructions burned: 26 (million)
% 9.81/2.72 % (20799)------------------------------
% 9.81/2.72 % (20799)------------------------------
% 9.81/2.73 % (20800)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_20351 for (2985ds/995Mi)
% 9.81/2.75 % (20798)Instruction limit reached!
% 9.81/2.75 % (20798)------------------------------
% 9.81/2.75 % (20798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.81/2.75 % (20798)Termination reason: Unknown
% 9.81/2.75 % (20798)Termination phase: Saturation
% 9.81/2.75
% 9.81/2.75 % (20798)Memory used [KB]: 6268
% 9.81/2.75 % (20798)Time elapsed: 0.083 s
% 9.81/2.75 % (20798)Instructions burned: 260 (million)
% 9.81/2.75 % (20798)------------------------------
% 9.81/2.75 % (20798)------------------------------
% 9.81/2.76 % (20801)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_20351 for (2985ds/373Mi)
% 10.01/2.86 % (20784)Instruction limit reached!
% 10.01/2.86 % (20784)------------------------------
% 10.01/2.86 % (20784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.01/2.86 % (20784)Termination reason: Unknown
% 10.01/2.86 % (20784)Termination phase: Saturation
% 10.01/2.86
% 10.01/2.86 % (20784)Memory used [KB]: 7931
% 10.01/2.86 % (20784)Time elapsed: 0.494 s
% 10.01/2.86 % (20784)Instructions burned: 1540 (million)
% 10.01/2.86 % (20784)------------------------------
% 10.01/2.86 % (20784)------------------------------
% 10.01/2.87 % (20801)Instruction limit reached!
% 10.01/2.87 % (20801)------------------------------
% 10.01/2.87 % (20801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.01/2.87 % (20801)Termination reason: Unknown
% 10.01/2.87 % (20801)Termination phase: Saturation
% 10.01/2.87
% 10.01/2.87 % (20801)Memory used [KB]: 6652
% 10.01/2.87 % (20801)Time elapsed: 0.114 s
% 10.01/2.87 % (20801)Instructions burned: 376 (million)
% 10.01/2.87 % (20801)------------------------------
% 10.01/2.87 % (20801)------------------------------
% 10.01/2.87 % (20802)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_20351 for (2984ds/253Mi)
% 10.01/2.88 % (20803)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_20351 for (2984ds/832Mi)
% 10.64/2.95 % (20802)Instruction limit reached!
% 10.64/2.95 % (20802)------------------------------
% 10.64/2.95 % (20802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.64/2.95 % (20802)Termination reason: Unknown
% 10.64/2.95 % (20802)Termination phase: Saturation
% 10.64/2.95
% 10.64/2.95 % (20802)Memory used [KB]: 5756
% 10.64/2.95 % (20802)Time elapsed: 0.074 s
% 10.64/2.95 % (20802)Instructions burned: 256 (million)
% 10.64/2.95 % (20802)------------------------------
% 10.64/2.95 % (20802)------------------------------
% 10.64/2.96 % (20804)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_20351 for (2983ds/668Mi)
% 10.64/3.01 % (20800)Instruction limit reached!
% 10.64/3.01 % (20800)------------------------------
% 10.64/3.01 % (20800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.64/3.01 % (20800)Termination reason: Unknown
% 10.64/3.01 % (20800)Termination phase: Saturation
% 10.64/3.01
% 10.64/3.01 % (20800)Memory used [KB]: 6396
% 10.64/3.01 % (20800)Time elapsed: 0.283 s
% 10.64/3.01 % (20800)Instructions burned: 996 (million)
% 10.64/3.01 % (20800)------------------------------
% 10.64/3.01 % (20800)------------------------------
% 13.52/3.02 % (20805)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_20351 for (2982ds/40Mi)
% 13.52/3.03 % (20805)Instruction limit reached!
% 13.52/3.03 % (20805)------------------------------
% 13.52/3.03 % (20805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.52/3.03 % (20805)Termination reason: Unknown
% 13.52/3.03 % (20805)Termination phase: Saturation
% 13.52/3.03
% 13.52/3.03 % (20805)Memory used [KB]: 5884
% 13.52/3.03 % (20805)Time elapsed: 0.035 s
% 13.52/3.03 % (20805)Instructions burned: 40 (million)
% 13.52/3.03 % (20805)------------------------------
% 13.52/3.03 % (20805)------------------------------
% 13.52/3.03 % (20792)Instruction limit reached!
% 13.52/3.03 % (20792)------------------------------
% 13.52/3.03 % (20792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.52/3.03 % (20792)Termination reason: Unknown
% 13.52/3.03 % (20792)Termination phase: Saturation
% 13.52/3.03
% 13.52/3.03 % (20792)Memory used [KB]: 3582
% 13.52/3.03 % (20792)Time elapsed: 0.576 s
% 13.52/3.03 % (20792)Instructions burned: 1915 (million)
% 13.52/3.03 % (20792)------------------------------
% 13.52/3.03 % (20792)------------------------------
% 13.52/3.04 % (20806)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_20351 for (2982ds/294Mi)
% 13.52/3.04 % (20807)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_20351 for (2982ds/187Mi)
% 13.52/3.10 % (20807)Instruction limit reached!
% 13.52/3.10 % (20807)------------------------------
% 13.52/3.10 % (20807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.52/3.10 % (20807)Termination reason: Unknown
% 13.52/3.10 % (20807)Termination phase: Saturation
% 13.52/3.10
% 13.52/3.10 % (20807)Memory used [KB]: 6652
% 13.52/3.10 % (20807)Time elapsed: 0.079 s
% 13.52/3.10 % (20807)Instructions burned: 188 (million)
% 13.52/3.10 % (20807)------------------------------
% 13.52/3.10 % (20807)------------------------------
% 13.52/3.11 % (20808)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_20351 for (2981ds/371Mi)
% 14.17/3.13 % (20803)Instruction limit reached!
% 14.17/3.13 % (20803)------------------------------
% 14.17/3.13 % (20803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.17/3.13 % (20803)Termination reason: Unknown
% 14.17/3.13 % (20803)Termination phase: Saturation
% 14.17/3.13
% 14.17/3.13 % (20803)Memory used [KB]: 6524
% 14.17/3.13 % (20803)Time elapsed: 0.248 s
% 14.17/3.13 % (20803)Instructions burned: 833 (million)
% 14.17/3.13 % (20803)------------------------------
% 14.17/3.13 % (20803)------------------------------
% 14.17/3.13 % (20806)Instruction limit reached!
% 14.17/3.13 % (20806)------------------------------
% 14.17/3.13 % (20806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.17/3.13 % (20806)Termination reason: Unknown
% 14.17/3.13 % (20806)Termination phase: Saturation
% 14.17/3.13
% 14.17/3.13 % (20806)Memory used [KB]: 6524
% 14.17/3.13 % (20806)Time elapsed: 0.109 s
% 14.17/3.13 % (20806)Instructions burned: 294 (million)
% 14.17/3.13 % (20806)------------------------------
% 14.17/3.13 % (20806)------------------------------
% 14.17/3.14 % (20809)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_20351 for (2981ds/1827Mi)
% 14.17/3.14 % (20810)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_20351 for (2981ds/70Mi)
% 14.17/3.16 % (20810)Instruction limit reached!
% 14.17/3.16 % (20810)------------------------------
% 14.17/3.16 % (20810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.17/3.16 % (20810)Termination reason: Unknown
% 14.17/3.16 % (20810)Termination phase: Saturation
% 14.17/3.16
% 14.17/3.16 % (20810)Memory used [KB]: 1791
% 14.17/3.16 % (20810)Time elapsed: 0.021 s
% 14.17/3.16 % (20810)Instructions burned: 71 (million)
% 14.17/3.16 % (20810)------------------------------
% 14.17/3.16 % (20810)------------------------------
% 14.17/3.17 % (20811)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_20351 for (2981ds/316Mi)
% 14.65/3.22 % (20808)Instruction limit reached!
% 14.65/3.22 % (20808)------------------------------
% 14.65/3.22 % (20808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.65/3.22 % (20808)Termination reason: Unknown
% 14.65/3.22 % (20808)Termination phase: Saturation
% 14.65/3.22
% 14.65/3.22 % (20808)Memory used [KB]: 6652
% 14.65/3.22 % (20808)Time elapsed: 0.137 s
% 14.65/3.22 % (20808)Instructions burned: 371 (million)
% 14.65/3.22 % (20808)------------------------------
% 14.65/3.22 % (20808)------------------------------
% 14.65/3.23 % (20804)Instruction limit reached!
% 14.65/3.23 % (20804)------------------------------
% 14.65/3.23 % (20804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.65/3.23 % (20804)Termination reason: Unknown
% 14.65/3.23 % (20804)Termination phase: Saturation
% 14.65/3.23
% 14.65/3.23 % (20804)Memory used [KB]: 11641
% 14.65/3.23 % (20804)Time elapsed: 0.290 s
% 14.65/3.23 % (20804)Instructions burned: 670 (million)
% 14.65/3.23 % (20804)------------------------------
% 14.65/3.23 % (20804)------------------------------
% 14.65/3.23 % (20812)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_20351 for (2980ds/932Mi)
% 14.65/3.24 % (20813)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_20351 for (2980ds/4714Mi)
% 14.65/3.26 % (20811)Instruction limit reached!
% 14.65/3.26 % (20811)------------------------------
% 14.65/3.26 % (20811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.65/3.26 % (20811)Termination reason: Unknown
% 14.65/3.26 % (20811)Termination phase: Saturation
% 14.65/3.26
% 14.65/3.26 % (20811)Memory used [KB]: 6652
% 14.65/3.26 % (20811)Time elapsed: 0.097 s
% 14.65/3.26 % (20811)Instructions burned: 316 (million)
% 14.65/3.26 % (20811)------------------------------
% 14.65/3.26 % (20811)------------------------------
% 14.65/3.27 % (20814)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_20351 for (2980ds/8250Mi)
% 15.82/3.51 % (20812)Instruction limit reached!
% 15.82/3.51 % (20812)------------------------------
% 15.82/3.51 % (20812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.82/3.51 % (20812)Termination reason: Unknown
% 15.82/3.51 % (20812)Termination phase: Saturation
% 15.82/3.51
% 15.82/3.51 % (20812)Memory used [KB]: 7931
% 15.82/3.51 % (20812)Time elapsed: 0.283 s
% 15.82/3.51 % (20812)Instructions burned: 933 (million)
% 15.82/3.51 % (20812)------------------------------
% 15.82/3.51 % (20812)------------------------------
% 15.82/3.52 % (20815)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_20351 for (2977ds/770Mi)
% 16.41/3.66 % (20779)Instruction limit reached!
% 16.41/3.66 % (20779)------------------------------
% 16.41/3.66 % (20779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.41/3.66 % (20779)Termination reason: Unknown
% 16.41/3.66 % (20779)Termination phase: Saturation
% 16.41/3.66
% 16.41/3.66 % (20779)Memory used [KB]: 9210
% 16.41/3.66 % (20779)Time elapsed: 1.307 s
% 16.41/3.66 % (20779)Instructions burned: 4436 (million)
% 16.41/3.66 % (20779)------------------------------
% 16.41/3.66 % (20779)------------------------------
% 16.41/3.67 % (20816)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_20351 for (2976ds/794Mi)
% 16.41/3.67 % (20793)Refutation not found, non-redundant clauses discarded% (20793)------------------------------
% 16.41/3.67 % (20793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.41/3.67 % (20793)Termination reason: Refutation not found, non-redundant clauses discarded
% 16.41/3.67
% 16.41/3.67 % (20793)Memory used [KB]: 9722
% 16.41/3.67 % (20793)Time elapsed: 1.160 s
% 16.41/3.67 % (20793)Instructions burned: 4120 (million)
% 16.41/3.67 % (20793)------------------------------
% 16.41/3.67 % (20793)------------------------------
% 16.41/3.68 % (20809)Instruction limit reached!
% 16.41/3.68 % (20809)------------------------------
% 16.41/3.68 % (20809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.41/3.68 % (20809)Termination reason: Unknown
% 16.41/3.68 % (20809)Termination phase: Saturation
% 16.41/3.68
% 16.41/3.68 % (20809)Memory used [KB]: 7931
% 16.41/3.68 % (20809)Time elapsed: 0.568 s
% 16.41/3.68 % (20809)Instructions burned: 1829 (million)
% 16.41/3.68 % (20809)------------------------------
% 16.41/3.68 % (20809)------------------------------
% 16.41/3.68 % (20817)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_20351 for (2976ds/464Mi)
% 16.41/3.69 % (20818)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_20351 for (2975ds/1376Mi)
% 17.23/3.76 % (20815)Instruction limit reached!
% 17.23/3.76 % (20815)------------------------------
% 17.23/3.76 % (20815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.23/3.76 % (20815)Termination reason: Unknown
% 17.23/3.76 % (20815)Termination phase: Saturation
% 17.23/3.76
% 17.23/3.76 % (20815)Memory used [KB]: 6908
% 17.23/3.76 % (20815)Time elapsed: 0.240 s
% 17.23/3.76 % (20815)Instructions burned: 772 (million)
% 17.23/3.76 % (20815)------------------------------
% 17.23/3.76 % (20815)------------------------------
% 17.23/3.77 % (20819)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_20351 for (2975ds/906Mi)
% 17.58/3.81 % (20791)Instruction limit reached!
% 17.58/3.81 % (20791)------------------------------
% 17.58/3.81 % (20791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.58/3.81 % (20791)Termination reason: Unknown
% 17.58/3.81 % (20791)Termination phase: Saturation
% 17.58/3.81
% 17.58/3.81 % (20791)Memory used [KB]: 11129
% 17.58/3.81 % (20791)Time elapsed: 1.423 s
% 17.58/3.81 % (20791)Instructions burned: 5205 (million)
% 17.58/3.81 % (20791)------------------------------
% 17.58/3.81 % (20791)------------------------------
% 17.58/3.82 % (20820)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_20351 for (2974ds/434Mi)
% 17.58/3.82 % (20817)Instruction limit reached!
% 17.58/3.82 % (20817)------------------------------
% 17.58/3.82 % (20817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.58/3.82 % (20817)Termination reason: Unknown
% 17.58/3.82 % (20817)Termination phase: Saturation
% 17.58/3.82
% 17.58/3.82 % (20817)Memory used [KB]: 6268
% 17.58/3.82 % (20817)Time elapsed: 0.144 s
% 17.58/3.82 % (20817)Instructions burned: 467 (million)
% 17.58/3.82 % (20817)------------------------------
% 17.58/3.82 % (20817)------------------------------
% 17.58/3.83 % (20821)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_20351 for (2974ds/865Mi)
% 17.76/3.91 % (20816)Instruction limit reached!
% 17.76/3.91 % (20816)------------------------------
% 17.76/3.91 % (20816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.76/3.91 % (20816)Termination reason: Unknown
% 17.76/3.91 % (20816)Termination phase: Saturation
% 17.76/3.91
% 17.76/3.91 % (20816)Memory used [KB]: 2686
% 17.76/3.91 % (20816)Time elapsed: 0.244 s
% 17.76/3.91 % (20816)Instructions burned: 794 (million)
% 17.76/3.91 % (20816)------------------------------
% 17.76/3.91 % (20816)------------------------------
% 17.76/3.92 % (20822)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_20351 for (2973ds/593Mi)
% 17.76/3.95 % (20820)Instruction limit reached!
% 17.76/3.95 % (20820)------------------------------
% 17.76/3.95 % (20820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.76/3.95 % (20820)Termination reason: Unknown
% 17.76/3.95 % (20820)Termination phase: Saturation
% 17.76/3.95
% 17.76/3.95 % (20820)Memory used [KB]: 6268
% 17.76/3.95 % (20820)Time elapsed: 0.136 s
% 17.76/3.95 % (20820)Instructions burned: 435 (million)
% 17.76/3.95 % (20820)------------------------------
% 17.76/3.95 % (20820)------------------------------
% 17.76/3.96 % (20823)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_20351 for (2973ds/443Mi)
% 20.64/4.07 % (20819)Instruction limit reached!
% 20.64/4.07 % (20819)------------------------------
% 20.64/4.07 % (20819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.64/4.07 % (20819)Termination reason: Unknown
% 20.64/4.07 % (20819)Termination phase: Saturation
% 20.64/4.07
% 20.64/4.07 % (20819)Memory used [KB]: 8955
% 20.64/4.07 % (20819)Time elapsed: 0.298 s
% 20.64/4.07 % (20819)Instructions burned: 907 (million)
% 20.64/4.07 % (20819)------------------------------
% 20.64/4.07 % (20819)------------------------------
% 20.64/4.08 % (20824)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_20351 for (2972ds/594Mi)
% 20.64/4.09 % (20822)First to succeed.
% 20.64/4.09 % (20822)Refutation found. Thanks to Tanya!
% 20.64/4.09 % SZS status Theorem for DTF2THF_20351
% 20.64/4.09 % SZS output start Proof for DTF2THF_20351
% 20.64/4.09 thf(type_def_5, type, a: $tType).
% 20.64/4.09 thf(func_def_0, type, a: $tType).
% 20.64/4.09 thf(func_def_16, type, sK1: a > a > $o).
% 20.64/4.09 thf(func_def_17, type, sK2: (a > $o) > a).
% 20.64/4.09 thf(func_def_18, type, sK3: (a > $o) > a > a).
% 20.64/4.09 thf(func_def_19, type, sK4: a > a).
% 20.64/4.09 thf(func_def_20, type, ph5: !>[X0: $tType]:(X0)).
% 20.64/4.09 thf(func_def_22, type, sK6: a).
% 20.64/4.09 thf(f1263,plain,(
% 20.64/4.09 $false),
% 20.64/4.09 inference(avatar_sat_refutation,[status(thm)],[f1169,f1241,f1262])).
% 20.64/4.09 thf(f1262,plain,(
% 20.64/4.09 spl0_3 | ~spl0_4),
% 20.64/4.09 inference(avatar_contradiction_clause,[status(thm)],[f1261])).
% 20.64/4.09 thf(f1261,plain,(
% 20.64/4.09 $false | (spl0_3 | ~spl0_4)),
% 20.64/4.09 inference(subsumption_resolution,[status(thm)],[f1256,f581])).
% 20.64/4.09 thf(f581,plain,(
% 20.64/4.09 ($false != (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | spl0_3),
% 20.64/4.09 inference(avatar_component_clause,[status(thm)],[f580])).
% 20.64/4.09 thf(f580,definition,(
% 20.64/4.09 spl0_3 <=> ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))),
% 20.64/4.09 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 20.64/4.09 thf(f1256,plain,(
% 20.64/4.09 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_4),
% 20.64/4.09 inference(trivial_inequality_removal,[status(thm)],[f1253])).
% 20.64/4.09 thf(f1253,plain,(
% 20.64/4.09 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ($false = $true) | ~spl0_4),
% 20.64/4.09 inference(superposition,[status(thm)],[f52,f586])).
% 20.64/4.09 thf(f586,plain,(
% 20.64/4.09 ((sK1 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))) @ (sK4 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) = $false) | ~spl0_4),
% 20.64/4.09 inference(avatar_component_clause,[status(thm)],[f584])).
% 20.64/4.09 thf(f584,definition,(
% 20.64/4.09 spl0_4 <=> ((sK1 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))) @ (sK4 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) = $false)),
% 20.64/4.09 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 20.64/4.09 thf(f52,plain,(
% 20.64/4.09 ( ! [X2 : a,X1 : a] : (((sK1 @ (sK4 @ X2) @ (sK4 @ X1)) = $true) | ((sK1 @ X2 @ X1) = $false)) )),
% 20.64/4.09 inference(binary_proxy_clausification,[status(thm)],[f51])).
% 20.64/4.09 thf(f51,plain,(
% 20.64/4.09 ( ! [X2 : a,X1 : a] : ((((sK1 @ X2 @ X1) => (sK1 @ (sK4 @ X2) @ (sK4 @ X1))) = $true)) )),
% 20.64/4.09 inference(beta_eta_normalization,[status(thm)],[f50])).
% 20.64/4.09 thf(f50,plain,(
% 20.64/4.09 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((sK1 @ Y0 @ X1) => (sK1 @ (sK4 @ Y0) @ (sK4 @ X1)))) @ X2))) )),
% 20.64/4.09 inference(pi_clausification,[status(thm)],[f49])).
% 20.64/4.09 thf(f49,plain,(
% 20.64/4.09 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: ((sK1 @ Y0 @ X1) => (sK1 @ (sK4 @ Y0) @ (sK4 @ X1))))) = $true)) )),
% 20.64/4.09 inference(beta_eta_normalization,[status(thm)],[f48])).
% 20.64/4.09 thf(f48,plain,(
% 20.64/4.09 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y1 @ Y0) => (sK1 @ (sK4 @ Y1) @ (sK4 @ Y0)))))) @ X1))) )),
% 20.64/4.09 inference(pi_clausification,[status(thm)],[f47])).
% 20.64/4.09 thf(f47,plain,(
% 20.64/4.09 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y1 @ Y0) => (sK1 @ (sK4 @ Y1) @ (sK4 @ Y0))))))) = $true)),
% 20.64/4.09 inference(binary_proxy_clausification,[status(thm)],[f45])).
% 20.64/4.09 thf(f45,plain,(
% 20.64/4.09 (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y1 @ Y0) => (sK1 @ (sK4 @ Y1) @ (sK4 @ Y0))))))) => (?? @ a @ (^[Y0 : a]: ((sK1 @ (sK4 @ Y0) @ Y0) & (sK1 @ Y0 @ (sK4 @ Y0)))))) = $false)),
% 20.64/4.09 inference(beta_eta_normalization,[status(thm)],[f44])).
% 20.64/4.09 thf(f44,plain,(
% 20.64/4.09 (((^[Y0 : a > a]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y2 @ Y1) => (sK1 @ (Y0 @ Y2) @ (Y0 @ Y1))))))) => (?? @ a @ (^[Y1 : a]: ((sK1 @ (Y0 @ Y1) @ Y1) & (sK1 @ Y1 @ (Y0 @ Y1))))))) @ sK4) = $false)),
% 20.64/4.09 inference(sigma_clausification,[status(thm)],[f13])).
% 20.64/4.09 thf(f13,plain,(
% 20.64/4.09 ($false = (!! @ (a > a) @ (^[Y0 : a > a]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y2 @ Y1) => (sK1 @ (Y0 @ Y2) @ (Y0 @ Y1))))))) => (?? @ a @ (^[Y1 : a]: ((sK1 @ (Y0 @ Y1) @ Y1) & (sK1 @ Y1 @ (Y0 @ Y1)))))))))),
% 20.64/4.09 inference(binary_proxy_clausification,[status(thm)],[f12])).
% 20.64/4.09 thf(f12,plain,(
% 20.64/4.09 ((((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK1 @ Y2 @ Y1)))) => (sK1 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y2) & (sK1 @ Y2 @ Y1)) => (sK1 @ Y0 @ Y1))))))))) => (!! @ (a > a) @ (^[Y0 : a > a]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y2 @ Y1) => (sK1 @ (Y0 @ Y2) @ (Y0 @ Y1))))))) => (?? @ a @ (^[Y1 : a]: ((sK1 @ (Y0 @ Y1) @ Y1) & (sK1 @ Y1 @ (Y0 @ Y1))))))))) = $false)),
% 20.64/4.09 inference(beta_eta_normalization,[status(thm)],[f11])).
% 20.64/4.09 thf(f11,plain,(
% 20.64/4.09 (((^[Y0 : (a > $o) > a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) => (sK1 @ Y3 @ Y2)))) => (sK1 @ (Y0 @ Y1) @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2 @ (Y0 @ Y1)))))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2 @ (Y0 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK1 @ Y1 @ Y3) & (sK1 @ Y3 @ Y2)) => (sK1 @ Y1 @ Y2))))))))) => (!! @ (a > a) @ (^[Y1 : a > a]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK1 @ (Y1 @ Y3) @ (Y1 @ Y2))))))) => (?? @ a @ (^[Y2 : a]: ((sK1 @ (Y1 @ Y2) @ Y2) & (sK1 @ Y2 @ (Y1 @ Y2)))))))))) @ sK2) = $false)),
% 20.64/4.09 inference(sigma_clausification,[status(thm)],[f10])).
% 20.64/4.09 thf(f10,plain,(
% 20.64/4.09 ((!! @ ((a > $o) > a) @ (^[Y0 : (a > $o) > a]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) => (sK1 @ Y3 @ Y2)))) => (sK1 @ (Y0 @ Y1) @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2 @ (Y0 @ Y1)))))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2 @ (Y0 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK1 @ Y1 @ Y3) & (sK1 @ Y3 @ Y2)) => (sK1 @ Y1 @ Y2))))))))) => (!! @ (a > a) @ (^[Y1 : a > a]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK1 @ (Y1 @ Y3) @ (Y1 @ Y2))))))) => (?? @ a @ (^[Y2 : a]: ((sK1 @ (Y1 @ Y2) @ Y2) & (sK1 @ Y2 @ (Y1 @ Y2))))))))))) = $false)),
% 20.64/4.09 inference(beta_eta_normalization,[status(thm)],[f9])).
% 20.64/4.09 thf(f9,plain,(
% 20.64/4.09 (((^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y0 @ Y4 @ Y3)))) => (Y0 @ (Y1 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y4 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y4 @ Y3) => (Y0 @ (Y2 @ Y4) @ (Y2 @ Y3))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))) @ sK1) = $false)),
% 20.64/4.09 inference(sigma_clausification,[status(thm)],[f8])).
% 20.64/4.09 thf(f8,plain,(
% 20.64/4.09 ($false = (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y0 @ Y4 @ Y3)))) => (Y0 @ (Y1 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y4 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y4 @ Y3) => (Y0 @ (Y2 @ Y4) @ (Y2 @ Y3))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3))))))))))))))),
% 20.64/4.09 inference(not_proxy_clausification,[status(thm)],[f7])).
% 20.64/4.09 thf(f7,plain,(
% 20.64/4.09 ((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y0 @ Y4 @ Y3)))) => (Y0 @ (Y1 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y4 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y4 @ Y3) => (Y0 @ (Y2 @ Y4) @ (Y2 @ Y3))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))))) = $true)),
% 20.64/4.10 inference(boolean_simplification,[status(thm)],[f6])).
% 20.64/4.10 thf(f6,plain,(
% 20.64/4.10 ((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y0 @ Y4 @ Y3)))) => (Y0 @ (Y1 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y4 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y4 @ Y3) => (Y0 @ (Y2 @ Y4) @ (Y2 @ Y3))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y4 @ Y3) => (Y0 @ (Y2 @ Y4) @ (Y2 @ Y3)))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))))) = $true)),
% 20.64/4.10 inference(cnf_transformation,[status(thm)],[f5])).
% 20.64/4.10 thf(f5,plain,(
% 20.64/4.10 ((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y0 @ Y4 @ Y3)))) => (Y0 @ (Y1 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y4 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y4 @ Y3) => (Y0 @ (Y2 @ Y4) @ (Y2 @ Y3))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y4 @ Y3) => (Y0 @ (Y2 @ Y4) @ (Y2 @ Y3)))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))))) = $true)),
% 20.64/4.10 inference(fool_elimination,[status(thm)],[f4])).
% 20.64/4.10 thf(f4,plain,(
% 20.64/4.10 ~! [X0 : (a > $o) > a,X1 : a > a > $o] : ((! [X2 : a,X3 : a,X4 : a] : (((X1 @ X2 @ X3) & (X1 @ X4 @ X2)) => (X1 @ X4 @ X3)) & ! [X5 : a > $o] : (! [X6 : a] : ((X5 @ X6) => (X1 @ X6 @ (X0 @ X5))) & ! [X7 : a] : ((X5 @ X7) => (X1 @ X7 @ (X0 @ X5))) & ! [X8 : a] : (! [X9 : a] : ((X5 @ X9) => (X1 @ X9 @ X8)) => (X1 @ (X0 @ X5) @ X8)))) => ! [X10 : a > a] : ((! [X11 : a,X12 : a] : ((X1 @ X11 @ X12) => (X1 @ (X10 @ X11) @ (X10 @ X12))) & ! [X13 : a,X14 : a] : ((X1 @ X13 @ X14) => (X1 @ (X10 @ X13) @ (X10 @ X14)))) => ? [X15 : a] : ((X1 @ X15 @ (X10 @ X15)) & (X1 @ (X10 @ X15) @ X15))))),
% 20.64/4.10 inference(rectify,[status(thm)],[f2])).
% 20.64/4.10 thf(f2,negated_conjecture,(
% 20.64/4.10 ~! [X1 : (a > $o) > a,X0 : a > a > $o] : ((! [X3 : a,X4 : a,X2 : a] : (((X0 @ X3 @ X4) & (X0 @ X2 @ X3)) => (X0 @ X2 @ X4)) & ! [X5 : a > $o] : (! [X4 : a] : ((X5 @ X4) => (X0 @ X4 @ (X1 @ X5))) & ! [X4 : a] : ((X5 @ X4) => (X0 @ X4 @ (X1 @ X5))) & ! [X6 : a] : (! [X7 : a] : ((X5 @ X7) => (X0 @ X7 @ X6)) => (X0 @ (X1 @ X5) @ X6)))) => ! [X8 : a > a] : ((! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (X0 @ (X8 @ X2) @ (X8 @ X3))) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (X0 @ (X8 @ X2) @ (X8 @ X3)))) => ? [X9 : a] : ((X0 @ X9 @ (X8 @ X9)) & (X0 @ (X8 @ X9) @ X9))))),
% 20.64/4.10 inference(negated_conjecture,[status(cth)],[f1])).
% 20.64/4.10 thf(f1,conjecture,(
% 20.64/4.10 ! [X1 : (a > $o) > a,X0 : a > a > $o] : ((! [X3 : a,X4 : a,X2 : a] : (((X0 @ X3 @ X4) & (X0 @ X2 @ X3)) => (X0 @ X2 @ X4)) & ! [X5 : a > $o] : (! [X4 : a] : ((X5 @ X4) => (X0 @ X4 @ (X1 @ X5))) & ! [X4 : a] : ((X5 @ X4) => (X0 @ X4 @ (X1 @ X5))) & ! [X6 : a] : (! [X7 : a] : ((X5 @ X7) => (X0 @ X7 @ X6)) => (X0 @ (X1 @ X5) @ X6)))) => ! [X8 : a > a] : ((! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (X0 @ (X8 @ X2) @ (X8 @ X3))) & ! [X2 : a,X3 : a] : ((X0 @ X2 @ X3) => (X0 @ (X8 @ X2) @ (X8 @ X3)))) => ? [X9 : a] : ((X0 @ X9 @ (X8 @ X9)) & (X0 @ (X8 @ X9) @ X9))))),
% 20.64/4.10 file('/export/starexec/sandbox/tmp/tmp.Y0bLQhZdPJ/DTF2THF_20351.p',cTHM145_B_pme)).
% 20.64/4.10 thf(f1241,plain,(
% 20.64/4.10 spl0_4 | spl0_3),
% 20.64/4.10 inference(avatar_split_clause,[status(thm)],[f1217,f580,f584])).
% 20.64/4.10 thf(f1217,plain,(
% 20.64/4.10 ((sK1 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))) @ (sK4 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) = $false) | spl0_3),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f1216])).
% 20.64/4.10 thf(f1216,plain,(
% 20.64/4.10 ($false = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | spl0_3),
% 20.64/4.10 inference(trivial_inequality_removal,[status(thm)],[f1194])).
% 20.64/4.10 thf(f1194,plain,(
% 20.64/4.10 ($false = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ($false != $false) | spl0_3),
% 20.64/4.10 inference(superposition,[status(thm)],[f581,f62])).
% 20.64/4.10 thf(f62,plain,(
% 20.64/4.10 ( ! [X0 : a > $o] : (($false = (sK1 @ (sK2 @ X0) @ (sK4 @ (sK2 @ X0)))) | ((X0 @ (sK4 @ (sK2 @ X0))) = $false)) )),
% 20.64/4.10 inference(trivial_inequality_removal,[status(thm)],[f60])).
% 20.64/4.10 thf(f60,plain,(
% 20.64/4.10 ( ! [X0 : a > $o] : (($false = $true) | ((X0 @ (sK4 @ (sK2 @ X0))) = $false) | ($false = (sK1 @ (sK2 @ X0) @ (sK4 @ (sK2 @ X0))))) )),
% 20.64/4.10 inference(superposition,[status(thm)],[f31,f55])).
% 20.64/4.10 thf(f55,plain,(
% 20.64/4.10 ( ! [X1 : a] : (((sK1 @ (sK4 @ X1) @ X1) = $false) | ((sK1 @ X1 @ (sK4 @ X1)) = $false)) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f54])).
% 20.64/4.10 thf(f54,plain,(
% 20.64/4.10 ( ! [X1 : a] : ((((sK1 @ (sK4 @ X1) @ X1) & (sK1 @ X1 @ (sK4 @ X1))) = $false)) )),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f53])).
% 20.64/4.10 thf(f53,plain,(
% 20.64/4.10 ( ! [X1 : a] : ((((^[Y0 : a]: ((sK1 @ (sK4 @ Y0) @ Y0) & (sK1 @ Y0 @ (sK4 @ Y0)))) @ X1) = $false)) )),
% 20.64/4.10 inference(pi_clausification,[status(thm)],[f46])).
% 20.64/4.10 thf(f46,plain,(
% 20.64/4.10 ((?? @ a @ (^[Y0 : a]: ((sK1 @ (sK4 @ Y0) @ Y0) & (sK1 @ Y0 @ (sK4 @ Y0))))) = $false)),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f45])).
% 20.64/4.10 thf(f31,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : (($true = (sK1 @ X2 @ (sK2 @ X1))) | ($false = (X1 @ X2))) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f30])).
% 20.64/4.10 thf(f30,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : ((((X1 @ X2) => (sK1 @ X2 @ (sK2 @ X1))) = $true)) )),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f29])).
% 20.64/4.10 thf(f29,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : (($true = ((^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1)))) @ X2))) )),
% 20.64/4.10 inference(pi_clausification,[status(thm)],[f27])).
% 20.64/4.10 thf(f27,plain,(
% 20.64/4.10 ( ! [X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1))))) = $true)) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f26])).
% 20.64/4.10 thf(f26,plain,(
% 20.64/4.10 ( ! [X1 : a > $o] : (((((!! @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK1 @ Y1 @ Y0)))) => (sK1 @ (sK2 @ X1) @ Y0)))) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1)))))) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1)))))) = $true)) )),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f25])).
% 20.64/4.10 thf(f25,plain,(
% 20.64/4.10 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK1 @ Y2 @ Y1)))) => (sK1 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0))))))) @ X1) = $true)) )),
% 20.64/4.10 inference(pi_clausification,[status(thm)],[f16])).
% 20.64/4.10 thf(f16,plain,(
% 20.64/4.10 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK1 @ Y2 @ Y1)))) => (sK1 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))))) = $true)),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 20.64/4.10 thf(f14,plain,(
% 20.64/4.10 (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK1 @ Y2 @ Y1)))) => (sK1 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y2) & (sK1 @ Y2 @ Y1)) => (sK1 @ Y0 @ Y1))))))))) = $true)),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f12])).
% 20.64/4.10 thf(f1169,plain,(
% 20.64/4.10 ~spl0_3),
% 20.64/4.10 inference(avatar_contradiction_clause,[status(thm)],[f1168])).
% 20.64/4.10 thf(f1168,plain,(
% 20.64/4.10 $false | ~spl0_3),
% 20.64/4.10 inference(trivial_inequality_removal,[status(thm)],[f1156])).
% 20.64/4.10 thf(f1156,plain,(
% 20.64/4.10 ($false = $true) | ~spl0_3),
% 20.64/4.10 inference(backward_demodulation,[status(thm)],[f594,f1152])).
% 20.64/4.10 thf(f1152,plain,(
% 20.64/4.10 ((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)))))))) = $false) | ~spl0_3),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f1151])).
% 20.64/4.10 thf(f1151,plain,(
% 20.64/4.10 ($false = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | ~spl0_3),
% 20.64/4.10 inference(trivial_inequality_removal,[status(thm)],[f1148])).
% 20.64/4.10 thf(f1148,plain,(
% 20.64/4.10 ($false = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | ($false = $true) | ~spl0_3),
% 20.64/4.10 inference(superposition,[status(thm)],[f31,f1141])).
% 20.64/4.10 thf(f1141,plain,(
% 20.64/4.10 ((sK1 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))) = $false) | ~spl0_3),
% 20.64/4.10 inference(trivial_inequality_removal,[status(thm)],[f1137])).
% 20.64/4.10 thf(f1137,plain,(
% 20.64/4.10 ((sK1 @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))) @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))) = $false) | ($false = $true) | ~spl0_3),
% 20.64/4.10 inference(superposition,[status(thm)],[f1133,f52])).
% 20.64/4.10 thf(f1133,plain,(
% 20.64/4.10 ((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_3),
% 20.64/4.10 inference(trivial_inequality_removal,[status(thm)],[f1132])).
% 20.64/4.10 thf(f1132,plain,(
% 20.64/4.10 ((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)))))) = $false) | ($false = $true) | ~spl0_3),
% 20.64/4.10 inference(forward_demodulation,[status(thm)],[f1125,f582])).
% 20.64/4.10 thf(f582,plain,(
% 20.64/4.10 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_3),
% 20.64/4.10 inference(avatar_component_clause,[status(thm)],[f580])).
% 20.64/4.10 thf(f1125,plain,(
% 20.64/4.10 ((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_3),
% 20.64/4.10 inference(trivial_inequality_removal,[status(thm)],[f1095])).
% 20.64/4.10 thf(f1095,plain,(
% 20.64/4.10 ($true = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))))))) | ($false = $true) | ((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_3),
% 20.64/4.10 inference(superposition,[status(thm)],[f594,f86])).
% 20.64/4.10 thf(f86,plain,(
% 20.64/4.10 ( ! [X2 : a,X0 : a > $o,X1 : a] : (((sK1 @ (sK3 @ X0 @ X1) @ X2) = $false) | ((sK1 @ X2 @ X1) = $false) | ($true = (sK1 @ (sK2 @ X0) @ X1))) )),
% 20.64/4.10 inference(trivial_inequality_removal,[status(thm)],[f81])).
% 20.64/4.10 thf(f81,plain,(
% 20.64/4.10 ( ! [X2 : a,X0 : a > $o,X1 : a] : (((sK1 @ (sK3 @ X0 @ X1) @ X2) = $false) | ($false = $true) | ((sK1 @ X2 @ X1) = $false) | ($true = (sK1 @ (sK2 @ X0) @ X1))) )),
% 20.64/4.10 inference(superposition,[status(thm)],[f42,f24])).
% 20.64/4.10 thf(f24,plain,(
% 20.64/4.10 ( ! [X2 : a,X3 : a,X1 : a] : (($true = (sK1 @ X1 @ X2)) | ($false = (sK1 @ X3 @ X2)) | ((sK1 @ X1 @ X3) = $false)) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f23])).
% 20.64/4.10 thf(f23,plain,(
% 20.64/4.10 ( ! [X2 : a,X3 : a,X1 : a] : ((((sK1 @ X1 @ X3) & (sK1 @ X3 @ X2)) = $false) | ($true = (sK1 @ X1 @ X2))) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 20.64/4.10 thf(f22,plain,(
% 20.64/4.10 ( ! [X2 : a,X3 : a,X1 : a] : (((((sK1 @ X1 @ X3) & (sK1 @ X3 @ X2)) => (sK1 @ X1 @ X2)) = $true)) )),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f21])).
% 20.64/4.10 thf(f21,plain,(
% 20.64/4.10 ( ! [X2 : a,X3 : a,X1 : a] : ((((^[Y0 : a]: (((sK1 @ X1 @ Y0) & (sK1 @ Y0 @ X2)) => (sK1 @ X1 @ X2))) @ X3) = $true)) )),
% 20.64/4.10 inference(pi_clausification,[status(thm)],[f20])).
% 20.64/4.10 thf(f20,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a] : (((!! @ a @ (^[Y0 : a]: (((sK1 @ X1 @ Y0) & (sK1 @ Y0 @ X2)) => (sK1 @ X1 @ X2)))) = $true)) )),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f19])).
% 20.64/4.10 thf(f19,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK1 @ X1 @ Y1) & (sK1 @ Y1 @ Y0)) => (sK1 @ X1 @ Y0))))) @ X2) = $true)) )),
% 20.64/4.10 inference(pi_clausification,[status(thm)],[f18])).
% 20.64/4.10 thf(f18,plain,(
% 20.64/4.10 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK1 @ X1 @ Y1) & (sK1 @ Y1 @ Y0)) => (sK1 @ X1 @ Y0)))))) = $true)) )),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f17])).
% 20.64/4.10 thf(f17,plain,(
% 20.64/4.10 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y2) & (sK1 @ Y2 @ Y1)) => (sK1 @ Y0 @ Y1))))))) @ X1))) )),
% 20.64/4.10 inference(pi_clausification,[status(thm)],[f15])).
% 20.64/4.10 thf(f15,plain,(
% 20.64/4.10 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y2) & (sK1 @ Y2 @ Y1)) => (sK1 @ Y0 @ Y1)))))))) = $true)),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 20.64/4.10 thf(f42,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : (($false = (sK1 @ (sK3 @ X1 @ X2) @ X2)) | ($true = (sK1 @ (sK2 @ X1) @ X2))) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 20.64/4.10 thf(f41,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : ((((X1 @ (sK3 @ X1 @ X2)) => (sK1 @ (sK3 @ X1 @ X2) @ X2)) = $false) | ($true = (sK1 @ (sK2 @ X1) @ X2))) )),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f40])).
% 20.64/4.10 thf(f40,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : (($false = ((^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ X2))) @ (sK3 @ X1 @ X2))) | ($true = (sK1 @ (sK2 @ X1) @ X2))) )),
% 20.64/4.10 inference(sigma_clausification,[status(thm)],[f39])).
% 20.64/4.10 thf(f39,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : (($true = (sK1 @ (sK2 @ X1) @ X2)) | ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ X2)))) = $false)) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 20.64/4.10 thf(f38,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : ((((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ X2)))) => (sK1 @ (sK2 @ X1) @ X2)) = $true)) )),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f37])).
% 20.64/4.10 thf(f37,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : ((((^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK1 @ Y1 @ Y0)))) => (sK1 @ (sK2 @ X1) @ Y0))) @ X2) = $true)) )),
% 20.64/4.10 inference(pi_clausification,[status(thm)],[f33])).
% 20.64/4.10 thf(f33,plain,(
% 20.64/4.10 ( ! [X1 : a > $o] : (($true = (!! @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK1 @ Y1 @ Y0)))) => (sK1 @ (sK2 @ X1) @ Y0)))))) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f28])).
% 20.64/4.10 thf(f28,plain,(
% 20.64/4.10 ( ! [X1 : a > $o] : ((((!! @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK1 @ Y1 @ Y0)))) => (sK1 @ (sK2 @ X1) @ Y0)))) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1)))))) = $true)) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f26])).
% 20.64/4.10 thf(f594,plain,(
% 20.64/4.10 ((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)))))))) = $true) | ~spl0_3),
% 20.64/4.10 inference(beta_eta_normalization,[status(thm)],[f593])).
% 20.64/4.10 thf(f593,plain,(
% 20.64/4.10 ($true = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | ~spl0_3),
% 20.64/4.10 inference(trivial_inequality_removal,[status(thm)],[f588])).
% 20.64/4.10 thf(f588,plain,(
% 20.64/4.10 ($true = ((^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK3 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK4 @ Y0)))))))) | ($false = $true) | ~spl0_3),
% 20.64/4.10 inference(superposition,[status(thm)],[f582,f43])).
% 20.64/4.10 thf(f43,plain,(
% 20.64/4.10 ( ! [X2 : a,X1 : a > $o] : (($true = (sK1 @ (sK2 @ X1) @ X2)) | ($true = (X1 @ (sK3 @ X1 @ X2)))) )),
% 20.64/4.10 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 20.64/4.10 % SZS output end Proof for DTF2THF_20351
% 20.64/4.10 % (20822)------------------------------
% 20.64/4.10 % (20822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.64/4.10 % (20822)Termination reason: Refutation
% 20.64/4.10
% 20.64/4.10 % (20822)Memory used [KB]: 6652
% 20.64/4.10 % (20822)Time elapsed: 0.171 s
% 20.64/4.10 % (20822)Instructions burned: 562 (million)
% 20.64/4.10 % (20822)------------------------------
% 20.64/4.10 % (20822)------------------------------
% 20.64/4.10 % (20451)Success in time 2.806 s
%------------------------------------------------------------------------------