%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV319^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:40:50 AM UTC 2026
% Result : Theorem 16.53s 3.50s
% Output : Refutation 16.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 3
% Syntax : Number of formulae : 85 ( 37 unt; 0 typ; 2 def)
% Number of atoms : 622 ( 119 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 1685 ( 27 ~; 66 |; 60 &;1285 @)
% ( 2 <=>; 113 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 112 ( 112 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 8 usr; 6 con; 0-2 aty)
% ( 121 !!; 11 ??; 0 @@+; 0 @@-)
% Number of variables : 347 ( 237 ^; 107 !; 3 ?; 347 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_2,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_16,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK2: ( a > $o ) > a ).
thf(func_def_18,type,
sK3: a > a > $o ).
thf(func_def_19,type,
sK4: a > a ).
thf(func_def_20,type,
sK5: ( a > $o ) > a > a ).
thf(f521,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f456,f493,f520]) ).
thf(f520,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[status(thm)],[f519]) ).
thf(f519,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[status(thm)],[f513,f454]) ).
thf(f454,plain,
( ( ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
!= $false )
| spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f453]) ).
thf(f453,definition,
( spl0_2
<=> ( ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f513,plain,
( ( ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f511]) ).
thf(f511,plain,
( ( ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false )
| ( $true = $false )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f22,f451]) ).
thf(f451,plain,
( ( ( sK3
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) )
@ ( sK4
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f449]) ).
thf(f449,definition,
( spl0_1
<=> ( ( sK3
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) )
@ ( sK4
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f22,plain,
! [X2: a,X1: a] :
( ( $true
= ( sK3 @ ( sK4 @ X2 ) @ ( sK4 @ X1 ) ) )
| ( ( sK3 @ X2 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
thf(f21,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK3 @ X2 @ X1 )
=> ( sK3 @ ( sK4 @ X2 ) @ ( sK4 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f20]) ).
thf(f20,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK3 @ ( sK4 @ Y0 ) @ ( sK4 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK3 @ ( sK4 @ Y0 ) @ ( sK4 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f18]) ).
thf(f18,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ ( sK4 @ Y1 ) @ ( sK4 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ ( sK4 @ Y1 ) @ ( sK4 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ ( sK4 @ Y1 ) @ ( sK4 @ Y0 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y0: a] :
( ( sK3 @ ( sK4 @ Y0 ) @ Y0 )
& ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f14]) ).
thf(f14,plain,
( ( ^ [Y0: a > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( sK3 @ ( Y0 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( sK3 @ ( Y0 @ Y1 ) @ Y1 )
& ( sK3 @ Y1 @ ( Y0 @ Y1 ) ) ) ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
( ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( sK3 @ ( Y0 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( sK3 @ ( Y0 @ Y1 ) @ Y1 )
& ( sK3 @ Y1 @ ( Y0 @ Y1 ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f11]) ).
thf(f11,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK3 @ Y2 @ Y1 ) ) )
=> ( sK3 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y1 @ Y0 )
& ( sK3 @ Y2 @ Y1 ) )
=> ( sK3 @ Y2 @ Y0 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( sK3 @ ( Y0 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( sK3 @ ( Y0 @ Y1 ) @ Y1 )
& ( sK3 @ Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: a > a > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) )
=> ( Y0 @ ( sK2 @ Y1 ) @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 @ ( sK2 @ Y1 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y1 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y0 @ ( Y1 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y0 @ ( Y1 @ Y2 ) @ Y2 )
& ( Y0 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) )
=> ( Y0 @ ( sK2 @ Y1 ) @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 @ ( sK2 @ Y1 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y1 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y0 @ ( Y1 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y0 @ ( Y1 @ Y2 ) @ Y2 )
& ( Y0 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: ( a > $o ) > a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y1 @ Y4 @ Y3 ) ) )
=> ( Y1 @ ( Y0 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 @ ( Y0 @ Y2 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y2 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y1 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y1 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y1 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( !! @ ( ( a > $o ) > a )
@ ^ [Y0: ( a > $o ) > a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y1 @ Y4 @ Y3 ) ) )
=> ( Y1 @ ( Y0 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 @ ( Y0 @ Y2 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y2 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y1 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y1 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y1 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ ( ( a > $o ) > a )
@ ^ [Y0: ( a > $o ) > a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y1 @ Y4 @ Y3 ) ) )
=> ( Y1 @ ( Y0 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 @ ( Y0 @ Y2 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y2 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y1 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y1 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y1 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( ( a > $o ) > a )
@ ^ [Y0: ( a > $o ) > a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y1 @ Y4 @ Y3 ) ) )
=> ( Y1 @ ( Y0 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 @ ( Y0 @ Y2 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y2 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y4 @ Y2 ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y1 @ ( Y2 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y1 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y1 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > $o,X1: ( a > $o ) > a] :
( ( ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X3 @ X4 ) )
=> ( X0 @ X2 @ X4 ) )
& ! [X5: a > $o] :
( ! [X6: a] :
( ( X5 @ X6 )
=> ( X0 @ X6 @ ( X1 @ X5 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( X5 @ X8 )
=> ( X0 @ X8 @ X7 ) )
=> ( X0 @ ( X1 @ X5 ) @ X7 ) ) ) )
=> ! [X9: a > a] :
( ! [X10: a,X11: a] :
( ( X0 @ X10 @ X11 )
=> ( X0 @ ( X9 @ X10 ) @ ( X9 @ X11 ) ) )
=> ? [X12: a] :
( ( X0 @ X12 @ ( X9 @ X12 ) )
& ( X0 @ ( X9 @ X12 ) @ X12 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o,X1: ( a > $o ) > a] :
( ( ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X3 @ X4 ) )
=> ( X0 @ X2 @ X4 ) )
& ! [X5: a > $o] :
( ! [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 ) ) )
=> ? [X9: a] :
( ( X0 @ X9 @ ( X8 @ X9 ) )
& ( X0 @ ( X8 @ X9 ) @ X9 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > $o,X1: ( a > $o ) > a] :
( ( ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X3 @ X4 ) )
=> ( X0 @ X2 @ X4 ) )
& ! [X5: a > $o] :
( ! [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 ) ) )
=> ? [X9: a] :
( ( X0 @ X9 @ ( X8 @ X9 ) )
& ( X0 @ ( X8 @ X9 ) @ X9 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KFrDPM8vPH/DTF2THF_7707.p',cTHM145L_pme) ).
thf(f493,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[status(thm)],[f492]) ).
thf(f492,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f491]) ).
thf(f491,plain,
( ( $true = $false )
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f466,f490]) ).
thf(f490,plain,
( ( ( sK3
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK4
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f489]) ).
thf(f489,plain,
( ( ( ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f483]) ).
thf(f483,plain,
( ( $true = $false )
| ( ( ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f42,f478]) ).
thf(f478,plain,
( ( ( sK3
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) )
= $false )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f473]) ).
thf(f473,plain,
( ( ( sK3
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) )
= $false )
| ( $true = $false )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f472,f22]) ).
thf(f472,plain,
( ( $false
= ( sK3
@ ( sK4
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f471]) ).
thf(f471,plain,
( ( $true = $false )
| ( $false
= ( sK3
@ ( sK4
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f470,f455]) ).
thf(f455,plain,
( ( ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f453]) ).
thf(f470,plain,
( ( $true
= ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ( $false
= ( sK3
@ ( sK4
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f467]) ).
thf(f467,plain,
( ( $true
= ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ( $true = $false )
| ( $false
= ( sK3
@ ( sK4
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f466,f93]) ).
thf(f93,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( $false
= ( sK3 @ ( sK5 @ X0 @ X1 ) @ X2 ) )
| ( $true
= ( sK3 @ ( sK2 @ X0 ) @ X1 ) )
| ( ( sK3 @ X2 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f88]) ).
thf(f88,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( $true
= ( sK3 @ ( sK2 @ X0 ) @ X1 ) )
| ( $true = $false )
| ( ( sK3 @ X2 @ X1 )
= $false )
| ( $false
= ( sK3 @ ( sK5 @ X0 @ X1 ) @ X2 ) ) ),
inference(superposition,[status(thm)],[f35,f48]) ).
thf(f48,plain,
! [X2: a,X1: a > $o] :
( ( ( sK3 @ ( sK5 @ X1 @ X2 ) @ X2 )
= $false )
| ( $true
= ( sK3 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( ( X1 @ ( sK5 @ X1 @ X2 ) )
=> ( sK3 @ ( sK5 @ X1 @ X2 ) @ X2 ) ) )
| ( $true
= ( sK3 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f46]) ).
thf(f46,plain,
! [X2: a,X1: a > $o] :
( ( ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 @ X2 ) )
@ ( sK5 @ X1 @ X2 ) )
= $false )
| ( $true
= ( sK3 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(sigma_clausification,[status(thm)],[f45]) ).
thf(f45,plain,
! [X2: a,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 @ X2 ) ) )
= $false )
| ( $true
= ( sK3 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f44]) ).
thf(f44,plain,
! [X2: a,X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 @ X2 ) ) )
=> ( sK3 @ ( sK2 @ X1 ) @ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f43]) ).
thf(f43,plain,
! [X2: a,X1: a > $o] :
( $true
= ( ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK3 @ Y1 @ Y0 ) ) )
=> ( sK3 @ ( sK2 @ X1 ) @ Y0 ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X1: a > $o] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK3 @ Y1 @ Y0 ) ) )
=> ( sK3 @ ( sK2 @ X1 ) @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
! [X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK3 @ Y1 @ Y0 ) ) )
=> ( sK3 @ ( sK2 @ X1 ) @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 @ ( sK2 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f36]) ).
thf(f36,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK3 @ Y2 @ Y1 ) ) )
=> ( sK3 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 @ ( sK2 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f27]) ).
thf(f27,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK3 @ Y2 @ Y1 ) ) )
=> ( sK3 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK3 @ Y2 @ Y1 ) ) )
=> ( sK3 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y1 @ Y0 )
& ( sK3 @ Y2 @ Y1 ) )
=> ( sK3 @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f11]) ).
thf(f35,plain,
! [X2: a,X3: a,X1: a] :
( ( $true
= ( sK3 @ X3 @ X1 ) )
| ( ( sK3 @ X2 @ X1 )
= $false )
| ( ( sK3 @ X3 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X3 @ X2 ) )
= $false )
| ( $true
= ( sK3 @ X3 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ( ( sK3 @ X2 @ X1 )
& ( sK3 @ X3 @ X2 ) )
=> ( sK3 @ X3 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK3 @ X2 @ X1 )
& ( sK3 @ Y0 @ X2 ) )
=> ( sK3 @ Y0 @ X1 ) )
@ X3 ) ),
inference(pi_clausification,[status(thm)],[f31]) ).
thf(f31,plain,
! [X2: a,X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ X2 @ X1 )
& ( sK3 @ Y0 @ X2 ) )
=> ( sK3 @ Y0 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f30]) ).
thf(f30,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ Y0 @ X1 )
& ( sK3 @ Y1 @ Y0 ) )
=> ( sK3 @ Y1 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ Y0 @ X1 )
& ( sK3 @ Y1 @ Y0 ) )
=> ( sK3 @ Y1 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f28]) ).
thf(f28,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y1 @ Y0 )
& ( sK3 @ Y2 @ Y1 ) )
=> ( sK3 @ Y2 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f26]) ).
thf(f26,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y1 @ Y0 )
& ( sK3 @ Y2 @ Y1 ) )
=> ( sK3 @ Y2 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f13]) ).
thf(f42,plain,
! [X2: a,X1: a > $o] :
( ( $true
= ( sK3 @ X2 @ ( sK2 @ X1 ) ) )
| ( ( X1 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
thf(f41,plain,
! [X2: a,X1: a > $o] :
( $true
= ( ( X1 @ X2 )
=> ( sK3 @ X2 @ ( sK2 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f40]) ).
thf(f40,plain,
! [X2: a,X1: a > $o] :
( $true
= ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 @ ( sK2 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
! [X1: a > $o] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 @ ( sK2 @ X1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f466,plain,
( ( $true
= ( sK3
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
@ ( sK4
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f465]) ).
thf(f465,plain,
( ( $true
= ( ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f457]) ).
thf(f457,plain,
( ( $true
= ( ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK5
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) ) )
| ( $true = $false )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f455,f49]) ).
thf(f49,plain,
! [X2: a,X1: a > $o] :
( ( $true
= ( sK3 @ ( sK2 @ X1 ) @ X2 ) )
| ( $true
= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f456,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f439,f453,f449]) ).
thf(f439,plain,
( ( ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) )
= $false )
| ( ( sK3
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) )
@ ( sK4
@ ( sK4
@ ( sK2
@ ^ [Y0: a] : ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f438]) ).
thf(f438,plain,
( ( ( ^ [Y0: a] :
( sK3
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK4
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] :
( sK3
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK4
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) ) ) ) )
= $false )
| ( ( ^ [Y0: a] :
( sK3
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK4
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) )
@ ( sK2
@ ^ [Y0: a] :
( sK3
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK4
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) ) ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f429]) ).
thf(f429,plain,
( ( $false != $false )
| ( ( ^ [Y0: a] :
( sK3
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK4
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) )
@ ( sK2
@ ^ [Y0: a] :
( sK3
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK4
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) ) ) )
= $false )
| ( ( ^ [Y0: a] :
( sK3
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK4
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) )
@ ( sK4
@ ( sK2
@ ^ [Y0: a] :
( sK3
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK4
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) ) ) ) )
= $false ) ),
inference(equality_factoring,[status(thm)],[f155]) ).
thf(f155,plain,
! [X0: a > $o,X1: a > $o] :
( ( $false
= ( sK3 @ ( sK2 @ X1 ) @ ( sK4 @ ( sK2 @ X1 ) ) ) )
| ( ( X0 @ ( sK4 @ ( sK2 @ X1 ) ) )
= $false )
| ( ( X1 @ ( sK2 @ X0 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f141]) ).
thf(f141,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true = $false )
| ( $false
= ( sK3 @ ( sK2 @ X1 ) @ ( sK4 @ ( sK2 @ X1 ) ) ) )
| ( ( X0 @ ( sK4 @ ( sK2 @ X1 ) ) )
= $false )
| ( ( X1 @ ( sK2 @ X0 ) )
= $false ) ),
inference(superposition,[status(thm)],[f81,f42]) ).
thf(f81,plain,
! [X0: a,X1: a > $o] :
( ( ( sK3 @ ( sK2 @ X1 ) @ X0 )
= $false )
| ( ( X1 @ ( sK4 @ X0 ) )
= $false )
| ( ( sK3 @ X0 @ ( sK4 @ X0 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f78]) ).
thf(f78,plain,
! [X0: a,X1: a > $o] :
( ( ( sK3 @ X0 @ ( sK4 @ X0 ) )
= $false )
| ( $true = $false )
| ( ( X1 @ ( sK4 @ X0 ) )
= $false )
| ( ( sK3 @ ( sK2 @ X1 ) @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f42,f65]) ).
thf(f65,plain,
! [X0: a,X1: a] :
( ( $false
= ( sK3 @ ( sK4 @ X0 ) @ X1 ) )
| ( ( sK3 @ X0 @ ( sK4 @ X0 ) )
= $false )
| ( ( sK3 @ X1 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f60]) ).
thf(f60,plain,
! [X0: a,X1: a] :
( ( ( sK3 @ X1 @ X0 )
= $false )
| ( $true = $false )
| ( $false
= ( sK3 @ ( sK4 @ X0 ) @ X1 ) )
| ( ( sK3 @ X0 @ ( sK4 @ X0 ) )
= $false ) ),
inference(superposition,[status(thm)],[f35,f25]) ).
thf(f25,plain,
! [X1: a] :
( ( $false
= ( sK3 @ ( sK4 @ X1 ) @ X1 ) )
| ( ( sK3 @ X1 @ ( sK4 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f24]) ).
thf(f24,plain,
! [X1: a] :
( ( ( sK3 @ ( sK4 @ X1 ) @ X1 )
& ( sK3 @ X1 @ ( sK4 @ X1 ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f23]) ).
thf(f23,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ( sK3 @ ( sK4 @ Y0 ) @ Y0 )
& ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
( ( ?? @ a
@ ^ [Y0: a] :
( ( sK3 @ ( sK4 @ Y0 ) @ Y0 )
& ( sK3 @ Y0 @ ( sK4 @ Y0 ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV319^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n021.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 12:44:24 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.45 ---- Original DTF file ---
% 0.19/0.45 thf(spec,logic,$$dhol).
% 0.19/0.45 %------------------------------------------------------------------------------
% 0.19/0.45 % File : SEV319^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.45 % Domain : Set Theory
% 0.19/0.45 % Problem : TPS problem THM145L
% 0.19/0.45 % Version : Especial.
% 0.19/0.45 % English : Tarski's (actually Knaster's) Fixed Point Theorem for lattices:
% 0.19/0.45 % In a complete lattice, every monotone function has a fixed point.
% 0.19/0.45
% 0.19/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.45 % Source : [Bro09]
% 0.19/0.45 % Names : tps_0570 [Bro09]
% 0.19/0.45 % : THM145 [TPS]
% 0.19/0.45 % : THM145L [TPS]
% 0.19/0.45
% 0.19/0.45 % Status : Theorem
% 0.19/0.45 % Rating : 0.75 v9.0.0, 0.92 v8.2.0, 0.91 v8.1.0, 0.92 v7.5.0, 1.00 v4.0.0
% 0.19/0.45 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.19/0.45 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.19/0.45 % Maximal formula atoms : 0 ( 0 avg)
% 0.19/0.45 % Number of connectives : 39 ( 0 ~; 0 |; 4 &; 28 @)
% 0.19/0.45 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.19/0.45 % Maximal formula depth : 13 ( 13 avg)
% 0.19/0.45 % Number of types : 2 ( 1 usr)
% 0.19/0.45 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.19/0.45 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.45 % Number of variables : 13 ( 0 ^; 12 !; 1 ?; 13 :)
% 0.19/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.45
% 0.19/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.45 % : Polymorphic definitions expanded.
% 0.19/0.45 %------------------------------------------------------------------------------
% 0.19/0.45 thf(a_type,type,
% 0.19/0.45 a: $tType ).
% 0.19/0.45
% 0.19/0.45 thf(cTHM145L_pme,conjecture,
% 0.19/0.45 ! [L: a > a > $o,U: ( a > $o ) > a] :
% 0.19/0.45 ( ( ! [Xx: a,Xy: a,Xz: a] :
% 0.19/0.45 ( ( ( L @ Xx @ Xy )
% 0.19/0.45 & ( L @ Xy @ Xz ) )
% 0.19/0.45 => ( L @ Xx @ Xz ) )
% 0.19/0.45 & ! [Xs: a > $o] :
% 0.19/0.45 ( ! [Xz: a] :
% 0.19/0.45 ( ( Xs @ Xz )
% 0.19/0.45 => ( L @ Xz @ ( U @ Xs ) ) )
% 0.19/0.45 & ! [Xj: a] :
% 0.19/0.45 ( ! [Xk: a] :
% 0.19/0.45 ( ( Xs @ Xk )
% 0.19/0.45 => ( L @ Xk @ Xj ) )
% 0.19/0.45 => ( L @ ( U @ Xs ) @ Xj ) ) ) )
% 0.19/0.45 => ! [Xf: a > a] :
% 0.19/0.45 ( ! [Xx: a,Xy: a] :
% 0.19/0.45 ( ( L @ Xx @ Xy )
% 0.19/0.45 => ( L @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 0.19/0.45 => ? [Xw: a] :
% 0.19/0.45 ( ( L @ Xw @ ( Xf @ Xw ) )
% 0.19/0.45 & ( L @ ( Xf @ Xw ) @ Xw ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 %------------------------------------------------------------------------------
% 0.19/0.45 ------------------------
% 1.56/1.25 ---- Embedded in THF ---
% 1.56/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.56/1.25 %%% Generated on Tue Feb 24 12:44:24 EST 2026
% 1.56/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.56/1.25 %%% Logic specification used:
% 1.56/1.25 %%% thf(spec, logic, $$dhol).
% 1.56/1.25
% 1.56/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.KFrDPM8vPH/DTF2DTF7707.p
% See solution above
% 1.56/1.26 ------------------------
% 1.56/1.26 ---- Cleaned THF ---
% 1.56/1.27 thf(a_type,type,
% 1.56/1.27 a: $tType ).
% 1.56/1.27
% 1.56/1.27 thf(cTHM145L_pme,conjecture,
% 1.56/1.27 ! [L: a > a > $o,U: ( a > $o ) > a] :
% 1.56/1.27 ( ( ! [Xx: a,Xy: a,Xz: a] :
% 1.56/1.27 ( ( ( L @ Xx @ Xy )
% 1.56/1.27 & ( L @ Xy @ Xz ) )
% 1.56/1.27 => ( L @ Xx @ Xz ) )
% 1.56/1.27 & ! [Xs: a > $o] :
% 1.56/1.27 ( ! [Xz: a] :
% 1.56/1.27 ( ( Xs @ Xz )
% 1.56/1.27 => ( L @ Xz @ ( U @ Xs ) ) )
% 1.56/1.27 & ! [Xj: a] :
% 1.56/1.27 ( ! [Xk: a] :
% 1.56/1.27 ( ( Xs @ Xk )
% 1.56/1.27 => ( L @ Xk @ Xj ) )
% 1.56/1.27 => ( L @ ( U @ Xs ) @ Xj ) ) ) )
% 1.56/1.27 => ! [Xf: a > a] :
% 1.56/1.27 ( ! [Xx: a,Xy: a] :
% 1.56/1.27 ( ( L @ Xx @ Xy )
% 1.56/1.27 => ( L @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 1.56/1.27 => ? [Xw: a] :
% 1.56/1.27 ( ( L @ Xw @ ( Xf @ Xw ) )
% 1.56/1.27 & ( L @ ( Xf @ Xw ) @ Xw ) ) ) ) ).
% 1.56/1.27 ------------------------
% 1.56/1.28 % (7875)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/2Mi)
% 1.56/1.28 % (7875)Instruction limit reached!
% 1.56/1.28 % (7875)------------------------------
% 1.56/1.28 % (7875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.28 % (7875)Termination reason: Unknown
% 1.56/1.28 % (7875)Termination phase: Clausification
% 1.56/1.28
% 1.56/1.28 % (7875)Memory used [KB]: 1023
% 1.56/1.28 % (7875)Time elapsed: 0.002 s
% 1.56/1.28 % (7875)Instructions burned: 2 (million)
% 1.56/1.28 % (7875)------------------------------
% 1.56/1.28 % (7875)------------------------------
% 1.56/1.29 % (7876)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_7707 for (2999ds/2Mi)
% 1.56/1.29 % (7874)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_7707 for (2999ds/27Mi)
% 1.56/1.29 % (7876)Instruction limit reached!
% 1.56/1.29 % (7876)------------------------------
% 1.56/1.29 % (7876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.29 % (7876)Termination reason: Unknown
% 1.56/1.29 % (7876)Termination phase: Saturation
% 1.56/1.29
% 1.56/1.29 % (7876)Memory used [KB]: 5500
% 1.56/1.29 % (7876)Time elapsed: 0.003 s
% 1.56/1.29 % (7876)Instructions burned: 3 (million)
% 1.56/1.29 % (7876)------------------------------
% 1.56/1.29 % (7876)------------------------------
% 1.56/1.29 % (7877)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_7707 for (2999ds/275Mi)
% 1.69/1.30 % (7874)Instruction limit reached!
% 1.69/1.30 % (7874)------------------------------
% 1.69/1.30 % (7874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.30 % (7874)Termination reason: Unknown
% 1.69/1.30 % (7874)Termination phase: Saturation
% 1.69/1.30
% 1.69/1.30 % (7874)Memory used [KB]: 5628
% 1.69/1.30 % (7874)Time elapsed: 0.012 s
% 1.69/1.30 % (7874)Instructions burned: 27 (million)
% 1.69/1.30 % (7874)------------------------------
% 1.69/1.30 % (7874)------------------------------
% 1.69/1.30 % (7885)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/3Mi)
% 1.69/1.30 % (7878)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/18Mi)
% 1.69/1.30 % (7873)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_7707 for (2999ds/4Mi)
% 1.69/1.30 % (7885)Instruction limit reached!
% 1.69/1.30 % (7885)------------------------------
% 1.69/1.30 % (7885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.30 % (7885)Termination reason: Unknown
% 1.69/1.30 % (7885)Termination phase: Saturation
% 1.69/1.30
% 1.69/1.30 % (7885)Memory used [KB]: 5500
% 1.69/1.30 % (7885)Time elapsed: 0.004 s
% 1.69/1.30 % (7885)Instructions burned: 4 (million)
% 1.69/1.30 % (7885)------------------------------
% 1.69/1.30 % (7885)------------------------------
% 1.69/1.30 % (7872)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/183Mi)
% 1.69/1.30 % (7873)Instruction limit reached!
% 1.69/1.30 % (7873)------------------------------
% 1.69/1.30 % (7873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.30 % (7873)Termination reason: Unknown
% 1.69/1.30 % (7873)Termination phase: Saturation
% 1.69/1.30
% 1.69/1.30 % (7873)Memory used [KB]: 5500
% 1.69/1.30 % (7873)Time elapsed: 0.006 s
% 1.69/1.30 % (7873)Instructions burned: 4 (million)
% 1.69/1.30 % (7873)------------------------------
% 1.69/1.30 % (7873)------------------------------
% 1.69/1.31 % (7887)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_7707 for (2999ds/37Mi)
% 1.69/1.31 % (7878)Instruction limit reached!
% 1.69/1.31 % (7878)------------------------------
% 1.69/1.31 % (7878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.31 % (7878)Termination reason: Unknown
% 1.69/1.31 % (7878)Termination phase: Saturation
% 1.69/1.31
% 1.69/1.31 % (7878)Memory used [KB]: 5628
% 1.69/1.31 % (7878)Time elapsed: 0.012 s
% 1.69/1.31 % (7878)Instructions burned: 18 (million)
% 1.69/1.31 % (7878)------------------------------
% 1.69/1.31 % (7878)------------------------------
% 1.69/1.31 % (7890)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_7707 for (2999ds/15Mi)
% 1.69/1.32 % (7890)Instruction limit reached!
% 1.69/1.32 % (7890)------------------------------
% 1.69/1.32 % (7890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.32 % (7890)Termination reason: Unknown
% 1.69/1.32 % (7890)Termination phase: Saturation
% 1.69/1.32
% 1.69/1.32 % (7890)Memory used [KB]: 5500
% 1.69/1.32 % (7890)Time elapsed: 0.010 s
% 1.69/1.32 % (7890)Instructions burned: 15 (million)
% 1.69/1.32 % (7890)------------------------------
% 1.69/1.32 % (7890)------------------------------
% 1.69/1.32 % (7891)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_7707 for (2999ds/3Mi)
% 1.69/1.32 % (7887)Instruction limit reached!
% 1.69/1.32 % (7887)------------------------------
% 1.69/1.32 % (7887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.32 % (7887)Termination reason: Unknown
% 1.69/1.32 % (7887)Termination phase: Saturation
% 1.69/1.32
% 1.69/1.32 % (7887)Memory used [KB]: 5884
% 1.69/1.32 % (7887)Time elapsed: 0.016 s
% 1.69/1.32 % (7887)Instructions burned: 37 (million)
% 1.69/1.32 % (7887)------------------------------
% 1.69/1.32 % (7887)------------------------------
% 1.69/1.32 % (7891)Instruction limit reached!
% 1.69/1.32 % (7891)------------------------------
% 1.69/1.32 % (7891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.32 % (7891)Termination reason: Unknown
% 1.69/1.32 % (7891)Termination phase: Saturation
% 1.69/1.32
% 1.69/1.32 % (7891)Memory used [KB]: 5500
% 1.69/1.32 % (7891)Time elapsed: 0.003 s
% 1.69/1.32 % (7891)Instructions burned: 4 (million)
% 1.69/1.32 % (7891)------------------------------
% 1.69/1.32 % (7891)------------------------------
% 1.69/1.32 % (7896)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/7Mi)
% 1.69/1.33 % (7896)Instruction limit reached!
% 1.69/1.33 % (7896)------------------------------
% 1.69/1.33 % (7896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.33 % (7896)Termination reason: Unknown
% 1.69/1.33 % (7896)Termination phase: Saturation
% 1.69/1.33
% 1.69/1.33 % (7896)Memory used [KB]: 1023
% 1.69/1.33 % (7896)Time elapsed: 0.005 s
% 1.69/1.33 % (7896)Instructions burned: 7 (million)
% 1.69/1.33 % (7896)------------------------------
% 1.69/1.33 % (7896)------------------------------
% 1.69/1.33 % (7903)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_7707 for (2999ds/3Mi)
% 1.69/1.33 % (7894)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_7707 for (2999ds/1041Mi)
% 1.69/1.33 % (7903)Instruction limit reached!
% 1.69/1.33 % (7903)------------------------------
% 1.69/1.33 % (7903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.33 % (7903)Termination reason: Unknown
% 1.69/1.33 % (7903)Termination phase: Twee Goal Transformation
% 1.69/1.33
% 1.69/1.33 % (7903)Memory used [KB]: 1023
% 1.69/1.33 % (7903)Time elapsed: 0.002 s
% 1.69/1.33 % (7903)Instructions burned: 3 (million)
% 1.69/1.33 % (7903)------------------------------
% 1.69/1.33 % (7903)------------------------------
% 1.69/1.34 % (7900)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/16Mi)
% 1.69/1.34 % (7908)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/3Mi)
% 1.69/1.34 % (7905)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_7707 for (2999ds/3Mi)
% 1.69/1.34 % (7907)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/7Mi)
% 1.69/1.34 % (7908)Instruction limit reached!
% 1.69/1.34 % (7908)------------------------------
% 1.69/1.34 % (7908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.34 % (7908)Termination reason: Unknown
% 1.69/1.34 % (7908)Termination phase: Saturation
% 1.69/1.34
% 1.69/1.34 % (7908)Memory used [KB]: 5500
% 1.69/1.34 % (7908)Time elapsed: 0.003 s
% 1.69/1.34 % (7908)Instructions burned: 4 (million)
% 1.69/1.34 % (7908)------------------------------
% 1.69/1.34 % (7908)------------------------------
% 1.69/1.34 % (7905)Instruction limit reached!
% 1.69/1.34 % (7905)------------------------------
% 1.69/1.34 % (7905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.34 % (7905)Termination reason: Unknown
% 1.69/1.34 % (7905)Termination phase: Property scanning
% 1.69/1.34
% 1.69/1.34 % (7905)Memory used [KB]: 1023
% 1.69/1.34 % (7905)Time elapsed: 0.003 s
% 1.69/1.34 % (7905)Instructions burned: 3 (million)
% 1.69/1.34 % (7905)------------------------------
% 1.69/1.34 % (7905)------------------------------
% 1.69/1.34 % (7900)Instruction limit reached!
% 1.69/1.34 % (7900)------------------------------
% 1.69/1.34 % (7900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.34 % (7900)Termination reason: Unknown
% 1.69/1.34 % (7900)Termination phase: Saturation
% 1.69/1.34
% 1.69/1.34 % (7900)Memory used [KB]: 5628
% 1.69/1.34 % (7900)Time elapsed: 0.011 s
% 1.69/1.34 % (7900)Instructions burned: 17 (million)
% 1.69/1.34 % (7900)------------------------------
% 1.69/1.34 % (7900)------------------------------
% 1.69/1.35 % (7907)Instruction limit reached!
% 1.69/1.35 % (7907)------------------------------
% 1.69/1.35 % (7907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.35 % (7907)Termination reason: Unknown
% 1.69/1.35 % (7907)Termination phase: Saturation
% 1.69/1.35
% 1.69/1.35 % (7907)Memory used [KB]: 5500
% 1.69/1.35 % (7907)Time elapsed: 0.004 s
% 1.69/1.35 % (7907)Instructions burned: 7 (million)
% 1.69/1.35 % (7907)------------------------------
% 1.69/1.35 % (7907)------------------------------
% 1.69/1.35 % (7915)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/4Mi)
% 1.69/1.36 % (7915)Instruction limit reached!
% 1.69/1.36 % (7915)------------------------------
% 1.69/1.36 % (7915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.36 % (7915)Termination reason: Unknown
% 1.69/1.36 % (7915)Termination phase: Saturation
% 1.69/1.36
% 1.69/1.36 % (7915)Memory used [KB]: 5500
% 1.69/1.36 % (7915)Time elapsed: 0.004 s
% 1.69/1.36 % (7915)Instructions burned: 6 (million)
% 1.69/1.36 % (7915)------------------------------
% 1.69/1.36 % (7915)------------------------------
% 1.69/1.36 % (7917)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/710Mi)
% 1.69/1.36 % (7916)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/18Mi)
% 1.69/1.36 % (7918)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/6Mi)
% 1.69/1.37 % (7918)Instruction limit reached!
% 1.69/1.37 % (7918)------------------------------
% 1.69/1.37 % (7918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.37 % (7918)Termination reason: Unknown
% 1.69/1.37 % (7918)Termination phase: Saturation
% 1.69/1.37
% 1.69/1.37 % (7918)Memory used [KB]: 5500
% 1.69/1.37 % (7918)Time elapsed: 0.005 s
% 1.69/1.37 % (7918)Instructions burned: 6 (million)
% 1.69/1.37 % (7918)------------------------------
% 1.69/1.37 % (7918)------------------------------
% 1.69/1.37 % (7924)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_7707 for (2999ds/902Mi)
% 1.69/1.37 % (7916)Instruction limit reached!
% 1.69/1.37 % (7916)------------------------------
% 1.69/1.37 % (7916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.37 % (7916)Termination reason: Unknown
% 1.69/1.37 % (7916)Termination phase: Saturation
% 1.69/1.37
% 1.69/1.37 % (7916)Memory used [KB]: 5628
% 1.69/1.37 % (7916)Time elapsed: 0.012 s
% 1.69/1.37 % (7916)Instructions burned: 18 (million)
% 1.69/1.37 % (7916)------------------------------
% 1.69/1.37 % (7916)------------------------------
% 1.69/1.39 % (7928)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_7707 for (2999ds/21Mi)
% 1.69/1.39 % (7930)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_7707 for (2999ds/5Mi)
% 1.69/1.39 % (7930)Instruction limit reached!
% 1.69/1.39 % (7930)------------------------------
% 1.69/1.39 % (7930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.39 % (7930)Termination reason: Unknown
% 1.69/1.39 % (7930)Termination phase: Saturation
% 1.69/1.39
% 1.69/1.39 % (7930)Memory used [KB]: 5500
% 1.69/1.39 % (7930)Time elapsed: 0.005 s
% 1.69/1.39 % (7930)Instructions burned: 6 (million)
% 1.69/1.39 % (7930)------------------------------
% 1.69/1.39 % (7930)------------------------------
% 1.69/1.40 % (7928)Instruction limit reached!
% 1.69/1.40 % (7928)------------------------------
% 1.69/1.40 % (7928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.40 % (7928)Termination reason: Unknown
% 1.69/1.40 % (7928)Termination phase: Saturation
% 1.69/1.40
% 1.69/1.40 % (7928)Memory used [KB]: 5628
% 1.69/1.40 % (7928)Time elapsed: 0.014 s
% 1.69/1.40 % (7928)Instructions burned: 21 (million)
% 1.69/1.40 % (7928)------------------------------
% 1.69/1.40 % (7928)------------------------------
% 1.69/1.40 % (7872)Instruction limit reached!
% 1.69/1.40 % (7872)------------------------------
% 1.69/1.40 % (7872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.40 % (7872)Termination reason: Unknown
% 1.69/1.40 % (7872)Termination phase: Saturation
% 1.69/1.40
% 1.69/1.40 % (7872)Memory used [KB]: 6652
% 1.69/1.40 % (7872)Time elapsed: 0.100 s
% 1.69/1.40 % (7872)Instructions burned: 183 (million)
% 1.69/1.40 % (7872)------------------------------
% 1.69/1.40 % (7872)------------------------------
% 1.69/1.41 % (7938)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_7707 for (2998ds/6Mi)
% 1.69/1.41 % (7938)Instruction limit reached!
% 1.69/1.41 % (7938)------------------------------
% 1.69/1.41 % (7938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.41 % (7938)Termination reason: Unknown
% 1.69/1.41 % (7938)Termination phase: Saturation
% 1.69/1.41
% 1.69/1.41 % (7938)Memory used [KB]: 5500
% 1.69/1.41 % (7938)Time elapsed: 0.003 s
% 1.69/1.41 % (7938)Instructions burned: 6 (million)
% 1.69/1.41 % (7938)------------------------------
% 1.69/1.41 % (7938)------------------------------
% 1.69/1.41 % (7941)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_7707 for (2998ds/779Mi)
% 1.69/1.41 % (7940)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_7707 for (2998ds/377Mi)
% 1.69/1.43 % (7946)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_7707 for (2998ds/19Mi)
% 1.69/1.43 % (7877)Instruction limit reached!
% 1.69/1.43 % (7877)------------------------------
% 1.69/1.43 % (7877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.43 % (7877)Termination reason: Unknown
% 1.69/1.43 % (7877)Termination phase: Saturation
% 1.69/1.43
% 1.69/1.43 % (7877)Memory used [KB]: 6012
% 1.69/1.43 % (7877)Time elapsed: 0.142 s
% 1.69/1.43 % (7877)Instructions burned: 275 (million)
% 1.69/1.43 % (7877)------------------------------
% 1.69/1.43 % (7877)------------------------------
% 1.69/1.44 % (7946)Instruction limit reached!
% 1.69/1.44 % (7946)------------------------------
% 1.69/1.44 % (7946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.44 % (7946)Termination reason: Unknown
% 1.69/1.44 % (7946)Termination phase: Saturation
% 1.69/1.44
% 1.69/1.44 % (7946)Memory used [KB]: 5628
% 1.69/1.44 % (7946)Time elapsed: 0.011 s
% 1.69/1.44 % (7946)Instructions burned: 20 (million)
% 1.69/1.44 % (7946)------------------------------
% 1.69/1.44 % (7946)------------------------------
% 1.69/1.45 % (7953)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_7707 for (2998ds/879Mi)
% 1.69/1.45 % (7955)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_7707 for (2998ds/17Mi)
% 1.69/1.46 % (7955)Instruction limit reached!
% 1.69/1.46 % (7955)------------------------------
% 1.69/1.46 % (7955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.46 % (7955)Termination reason: Unknown
% 1.69/1.46 % (7955)Termination phase: Saturation
% 1.69/1.46
% 1.69/1.46 % (7955)Memory used [KB]: 5628
% 1.69/1.46 % (7955)Time elapsed: 0.010 s
% 1.69/1.46 % (7955)Instructions burned: 17 (million)
% 1.69/1.46 % (7955)------------------------------
% 1.69/1.46 % (7955)------------------------------
% 1.69/1.48 % (7964)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_7707 for (2998ds/3Mi)
% 1.69/1.48 % (7964)Instruction limit reached!
% 1.69/1.48 % (7964)------------------------------
% 1.69/1.48 % (7964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.48 % (7964)Termination reason: Unknown
% 1.69/1.48 % (7964)Termination phase: Saturation
% 1.69/1.48
% 1.69/1.48 % (7964)Memory used [KB]: 1023
% 1.69/1.48 % (7964)Time elapsed: 0.003 s
% 1.69/1.48 % (7964)Instructions burned: 3 (million)
% 1.69/1.48 % (7964)------------------------------
% 1.69/1.48 % (7964)------------------------------
% 1.69/1.50 % (7970)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_7707 for (2997ds/30Mi)
% 1.69/1.52 % (7970)Instruction limit reached!
% 1.69/1.52 % (7970)------------------------------
% 1.69/1.52 % (7970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.52 % (7970)Termination reason: Unknown
% 1.69/1.52 % (7970)Termination phase: Saturation
% 1.69/1.52
% 1.69/1.52 % (7970)Memory used [KB]: 5628
% 1.69/1.52 % (7970)Time elapsed: 0.016 s
% 1.69/1.52 % (7970)Instructions burned: 31 (million)
% 1.69/1.52 % (7970)------------------------------
% 1.69/1.52 % (7970)------------------------------
% 1.69/1.53 % (7981)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_7707 for (2997ds/127Mi)
% 1.69/1.59 % (7940)Instruction limit reached!
% 1.69/1.59 % (7940)------------------------------
% 1.69/1.59 % (7940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.59 % (7940)Termination reason: Unknown
% 1.69/1.59 % (7940)Termination phase: Saturation
% 1.69/1.59
% 1.69/1.59 % (7940)Memory used [KB]: 6140
% 1.69/1.59 % (7940)Time elapsed: 0.176 s
% 1.69/1.59 % (7940)Instructions burned: 377 (million)
% 1.69/1.59 % (7940)------------------------------
% 1.69/1.59 % (7940)------------------------------
% 1.69/1.59 % (7981)Instruction limit reached!
% 1.69/1.59 % (7981)------------------------------
% 1.69/1.59 % (7981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.59 % (7981)Termination reason: Unknown
% 1.69/1.59 % (7981)Termination phase: Saturation
% 1.69/1.59
% 1.69/1.59 % (7981)Memory used [KB]: 6012
% 1.69/1.59 % (7981)Time elapsed: 0.061 s
% 1.69/1.59 % (7981)Instructions burned: 127 (million)
% 1.69/1.59 % (7981)------------------------------
% 1.69/1.59 % (7981)------------------------------
% 1.69/1.60 % (8005)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_7707 for (2996ds/100Mi)
% 1.69/1.61 % (8007)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_7707 for (2996ds/3Mi)
% 1.69/1.61 % (8007)Instruction limit reached!
% 1.69/1.61 % (8007)------------------------------
% 1.69/1.61 % (8007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.61 % (8007)Termination reason: Unknown
% 1.69/1.61 % (8007)Termination phase: Saturation
% 1.69/1.61
% 1.69/1.61 % (8007)Memory used [KB]: 895
% 1.69/1.61 % (8007)Time elapsed: 0.003 s
% 1.69/1.61 % (8007)Instructions burned: 3 (million)
% 1.69/1.61 % (8007)------------------------------
% 1.69/1.61 % (8007)------------------------------
% 1.69/1.63 % (8016)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_7707 for (2996ds/20Mi)
% 1.69/1.64 % (8016)Instruction limit reached!
% 1.69/1.64 % (8016)------------------------------
% 1.69/1.64 % (8016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.64 % (8016)Termination reason: Unknown
% 1.69/1.64 % (8016)Termination phase: Saturation
% 1.69/1.64
% 1.69/1.64 % (8016)Memory used [KB]: 5628
% 1.69/1.64 % (8016)Time elapsed: 0.014 s
% 1.69/1.64 % (8016)Instructions burned: 21 (million)
% 1.69/1.64 % (8016)------------------------------
% 1.69/1.64 % (8016)------------------------------
% 1.69/1.65 % (8005)Instruction limit reached!
% 1.69/1.65 % (8005)------------------------------
% 1.69/1.65 % (8005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.65 % (8005)Termination reason: Unknown
% 1.69/1.65 % (8005)Termination phase: Saturation
% 1.69/1.65
% 1.69/1.65 % (8005)Memory used [KB]: 5756
% 1.69/1.65 % (8005)Time elapsed: 0.050 s
% 1.69/1.65 % (8005)Instructions burned: 100 (million)
% 1.69/1.65 % (8005)------------------------------
% 1.69/1.65 % (8005)------------------------------
% 1.69/1.66 % (8026)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_7707 for (2996ds/86Mi)
% 1.69/1.66 % (8029)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_7707 for (2996ds/107Mi)
% 1.69/1.68 % (7917)Instruction limit reached!
% 1.69/1.68 % (7917)------------------------------
% 1.69/1.68 % (7917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.68 % (7917)Termination reason: Unknown
% 1.69/1.68 % (7917)Termination phase: Saturation
% 1.69/1.68
% 1.69/1.68 % (7917)Memory used [KB]: 7419
% 1.69/1.68 % (7917)Time elapsed: 0.323 s
% 1.69/1.68 % (7917)Instructions burned: 710 (million)
% 1.69/1.68 % (7917)------------------------------
% 1.69/1.68 % (7917)------------------------------
% 1.69/1.69 % (8029)Instruction limit reached!
% 1.69/1.69 % (8029)------------------------------
% 1.69/1.69 % (8029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.69 % (8029)Termination reason: Unknown
% 1.69/1.69 % (8029)Termination phase: Saturation
% 1.69/1.69
% 1.69/1.69 % (8029)Memory used [KB]: 6012
% 1.69/1.69 % (8029)Time elapsed: 0.037 s
% 1.69/1.69 % (8029)Instructions burned: 107 (million)
% 1.69/1.69 % (8029)------------------------------
% 1.69/1.69 % (8029)------------------------------
% 1.69/1.70 % (8040)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_7707 for (2995ds/39Mi)
% 1.69/1.70 % (8026)Instruction limit reached!
% 1.69/1.70 % (8026)------------------------------
% 1.69/1.70 % (8026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.70 % (8026)Termination reason: Unknown
% 1.69/1.70 % (8026)Termination phase: Saturation
% 1.69/1.70
% 1.69/1.70 % (8026)Memory used [KB]: 5884
% 1.69/1.70 % (8026)Time elapsed: 0.044 s
% 1.69/1.70 % (8026)Instructions burned: 87 (million)
% 1.69/1.70 % (8026)------------------------------
% 1.69/1.70 % (8026)------------------------------
% 1.69/1.70 % (8044)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_7707 for (2995ds/448Mi)
% 1.69/1.72 % (8040)Instruction limit reached!
% 1.69/1.72 % (8040)------------------------------
% 1.69/1.72 % (8040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.72 % (8040)Termination reason: Unknown
% 1.69/1.72 % (8040)Termination phase: Saturation
% 1.69/1.72
% 1.69/1.72 % (8040)Memory used [KB]: 5756
% 1.69/1.72 % (8040)Time elapsed: 0.020 s
% 1.69/1.72 % (8040)Instructions burned: 40 (million)
% 1.69/1.72 % (8040)------------------------------
% 1.69/1.72 % (8040)------------------------------
% 1.69/1.72 % (8049)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_7707 for (2995ds/46Mi)
% 1.69/1.73 % (8056)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_7707 for (2995ds/98Mi)
% 1.69/1.74 % (8049)Instruction limit reached!
% 1.69/1.74 % (8049)------------------------------
% 1.69/1.74 % (8049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.74 % (8049)Termination reason: Unknown
% 1.69/1.74 % (8049)Termination phase: Saturation
% 1.69/1.74
% 1.69/1.74 % (8049)Memory used [KB]: 5756
% 1.69/1.74 % (8049)Time elapsed: 0.020 s
% 1.69/1.74 % (8049)Instructions burned: 46 (million)
% 1.69/1.74 % (8049)------------------------------
% 1.69/1.74 % (8049)------------------------------
% 1.69/1.75 % (7924)Instruction limit reached!
% 1.69/1.75 % (7924)------------------------------
% 1.69/1.75 % (7924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.75 % (7924)Termination reason: Unknown
% 1.69/1.75 % (7924)Termination phase: Saturation
% 1.69/1.75
% 1.69/1.75 % (7924)Memory used [KB]: 6652
% 1.69/1.75 % (7924)Time elapsed: 0.382 s
% 1.69/1.75 % (7924)Instructions burned: 903 (million)
% 1.69/1.75 % (7924)------------------------------
% 1.69/1.75 % (7924)------------------------------
% 1.69/1.75 % (8063)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_7707 for (2995ds/507Mi)
% 1.69/1.76 % (8056)Instruction limit reached!
% 1.69/1.76 % (8056)------------------------------
% 1.69/1.76 % (8056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.76 % (8056)Termination reason: Unknown
% 1.69/1.76 % (8056)Termination phase: Saturation
% 1.69/1.76
% 1.69/1.76 % (8056)Memory used [KB]: 1279
% 1.69/1.76 % (8056)Time elapsed: 0.038 s
% 1.69/1.76 % (8056)Instructions burned: 100 (million)
% 1.69/1.76 % (8056)------------------------------
% 1.69/1.76 % (8056)------------------------------
% 1.69/1.77 % (8068)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_7707 for (2995ds/149Mi)
% 1.69/1.77 % (8074)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_7707 for (2995ds/39Mi)
% 1.69/1.79 % (7941)Instruction limit reached!
% 1.69/1.79 % (7941)------------------------------
% 1.69/1.79 % (7941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.79 % (7941)Termination reason: Unknown
% 1.69/1.79 % (7941)Termination phase: Saturation
% 1.69/1.79
% 1.69/1.79 % (7941)Memory used [KB]: 6396
% 1.69/1.79 % (7941)Time elapsed: 0.373 s
% 1.69/1.79 % (7941)Instructions burned: 779 (million)
% 1.69/1.79 % (7941)------------------------------
% 1.69/1.79 % (7941)------------------------------
% 1.69/1.79 % (8074)Instruction limit reached!
% 1.69/1.79 % (8074)------------------------------
% 1.69/1.79 % (8074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.79 % (8074)Termination reason: Unknown
% 1.69/1.79 % (8074)Termination phase: Saturation
% 1.69/1.79
% 1.69/1.79 % (8074)Memory used [KB]: 5628
% 1.69/1.79 % (8074)Time elapsed: 0.015 s
% 1.69/1.79 % (8074)Instructions burned: 41 (million)
% 1.69/1.79 % (8074)------------------------------
% 1.69/1.79 % (8074)------------------------------
% 1.69/1.80 % (8083)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_7707 for (2994ds/1087Mi)
% 1.69/1.80 % (8082)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_7707 for (2994ds/6Mi)
% 1.69/1.81 % (8082)Instruction limit reached!
% 1.69/1.81 % (8082)------------------------------
% 1.69/1.81 % (8082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.81 % (8082)Termination reason: Unknown
% 1.69/1.81 % (8082)Termination phase: Saturation
% 1.69/1.81
% 1.69/1.81 % (8082)Memory used [KB]: 9978
% 1.69/1.81 % (8082)Time elapsed: 0.005 s
% 1.69/1.81 % (8082)Instructions burned: 7 (million)
% 1.69/1.81 % (8082)------------------------------
% 1.69/1.81 % (8082)------------------------------
% 1.69/1.82 % (7953)Refutation not found, non-redundant clauses discarded% (7953)------------------------------
% 1.69/1.82 % (7953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.82 % (7953)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.69/1.82
% 1.69/1.82 % (7953)Memory used [KB]: 6908
% 1.69/1.82 % (7953)Time elapsed: 0.389 s
% 1.69/1.82 % (7953)Instructions burned: 808 (million)
% 1.69/1.82 % (7953)------------------------------
% 1.69/1.82 % (7953)------------------------------
% 1.69/1.82 % (8089)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_7707 for (2994ds/47Mi)
% 1.69/1.84 % (8094)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_7707 for (2994ds/44Mi)
% 1.69/1.84 % (8068)Instruction limit reached!
% 1.69/1.84 % (8068)------------------------------
% 1.69/1.84 % (8068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.84 % (8068)Termination reason: Unknown
% 1.69/1.84 % (8068)Termination phase: Saturation
% 1.69/1.84
% 1.69/1.84 % (8068)Memory used [KB]: 6140
% 1.69/1.84 % (8068)Time elapsed: 0.074 s
% 1.69/1.84 % (8068)Instructions burned: 150 (million)
% 1.69/1.84 % (8068)------------------------------
% 1.69/1.84 % (8068)------------------------------
% 1.69/1.84 % (8089)Instruction limit reached!
% 1.69/1.84 % (8089)------------------------------
% 1.69/1.84 % (8089)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.84 % (8089)Termination reason: Unknown
% 1.69/1.84 % (8089)Termination phase: Saturation
% 1.69/1.84
% 1.69/1.84 % (8089)Memory used [KB]: 5756
% 1.69/1.84 % (8089)Time elapsed: 0.025 s
% 1.69/1.84 % (8089)Instructions burned: 48 (million)
% 1.69/1.84 % (8089)------------------------------
% 1.69/1.84 % (8089)------------------------------
% 1.69/1.86 % (8101)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_7707 for (2994ds/432Mi)
% 1.69/1.86 % (8094)Instruction limit reached!
% 1.69/1.86 % (8094)------------------------------
% 1.69/1.86 % (8094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.86 % (8094)Termination reason: Unknown
% 1.69/1.86 % (8094)Termination phase: Saturation
% 1.69/1.86
% 1.69/1.86 % (8094)Memory used [KB]: 1279
% 1.69/1.86 % (8094)Time elapsed: 0.023 s
% 1.69/1.86 % (8094)Instructions burned: 45 (million)
% 1.69/1.86 % (8094)------------------------------
% 1.69/1.86 % (8094)------------------------------
% 1.69/1.86 % (7894)Instruction limit reached!
% 1.69/1.86 % (7894)------------------------------
% 1.69/1.86 % (7894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.86 % (7894)Termination reason: Unknown
% 1.69/1.86 % (7894)Termination phase: Saturation
% 1.69/1.86
% 1.69/1.86 % (7894)Memory used [KB]: 8315
% 1.69/1.86 % (7894)Time elapsed: 0.531 s
% 1.69/1.86 % (7894)Instructions burned: 1041 (million)
% 1.69/1.86 % (7894)------------------------------
% 1.69/1.86 % (7894)------------------------------
% 1.69/1.87 % (8104)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_7707 for (2994ds/62Mi)
% 1.69/1.87 % (8110)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_7707 for (2994ds/31Mi)
% 1.69/1.87 % (8111)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_7707 for (2994ds/96Mi)
% 1.69/1.89 % (8104)Instruction limit reached!
% 1.69/1.89 % (8104)------------------------------
% 1.69/1.89 % (8104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.89 % (8104)Termination reason: Unknown
% 1.69/1.89 % (8104)Termination phase: Saturation
% 1.69/1.89
% 1.69/1.89 % (8104)Memory used [KB]: 6012
% 1.69/1.89 % (8104)Time elapsed: 0.043 s
% 1.69/1.89 % (8104)Instructions burned: 65 (million)
% 1.69/1.89 % (8104)------------------------------
% 1.69/1.89 % (8104)------------------------------
% 1.69/1.89 % (8110)Instruction limit reached!
% 1.69/1.89 % (8110)------------------------------
% 1.69/1.89 % (8110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.89 % (8110)Termination reason: Unknown
% 1.69/1.89 % (8110)Termination phase: Saturation
% 1.69/1.89
% 1.69/1.89 % (8110)Memory used [KB]: 5756
% 1.69/1.89 % (8110)Time elapsed: 0.017 s
% 1.69/1.89 % (8110)Instructions burned: 31 (million)
% 1.69/1.89 % (8110)------------------------------
% 1.69/1.89 % (8110)------------------------------
% 1.69/1.90 % (8118)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_7707 for (2993ds/453Mi)
% 1.69/1.91 % (8044)Instruction limit reached!
% 1.69/1.91 % (8044)------------------------------
% 1.69/1.91 % (8044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.91 % (8044)Termination reason: Unknown
% 1.69/1.91 % (8044)Termination phase: Saturation
% 1.69/1.91
% 1.69/1.91 % (8044)Memory used [KB]: 6524
% 1.69/1.91 % (8044)Time elapsed: 0.209 s
% 1.69/1.91 % (8044)Instructions burned: 450 (million)
% 1.69/1.91 % (8044)------------------------------
% 1.69/1.91 % (8044)------------------------------
% 1.69/1.91 % (8121)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_7707 for (2993ds/71Mi)
% 1.69/1.92 % (8111)Instruction limit reached!
% 1.69/1.92 % (8111)------------------------------
% 1.69/1.92 % (8111)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.92 % (8111)Termination reason: Unknown
% 1.69/1.92 % (8111)Termination phase: Saturation
% 1.69/1.92
% 1.69/1.92 % (8111)Memory used [KB]: 5756
% 1.69/1.92 % (8111)Time elapsed: 0.048 s
% 1.69/1.92 % (8111)Instructions burned: 96 (million)
% 1.69/1.92 % (8111)------------------------------
% 1.69/1.92 % (8111)------------------------------
% 1.69/1.92 % (8126)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_7707 for (2993ds/83Mi)
% 1.69/1.94 % (8128)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_7707 for (2993ds/11Mi)
% 1.69/1.94 % (8128)Instruction limit reached!
% 1.69/1.94 % (8128)------------------------------
% 1.69/1.94 % (8128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.94 % (8128)Termination reason: Unknown
% 1.69/1.94 % (8128)Termination phase: Saturation
% 1.69/1.94
% 1.69/1.94 % (8128)Memory used [KB]: 5500
% 1.69/1.94 % (8128)Time elapsed: 0.007 s
% 1.69/1.94 % (8128)Instructions burned: 12 (million)
% 1.69/1.94 % (8128)------------------------------
% 1.69/1.94 % (8128)------------------------------
% 1.69/1.95 % (8121)Instruction limit reached!
% 1.69/1.95 % (8121)------------------------------
% 1.69/1.95 % (8121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.95 % (8121)Termination reason: Unknown
% 1.69/1.95 % (8121)Termination phase: Saturation
% 1.69/1.95
% 1.69/1.95 % (8121)Memory used [KB]: 5884
% 1.69/1.95 % (8121)Time elapsed: 0.062 s
% 1.69/1.95 % (8121)Instructions burned: 71 (million)
% 1.69/1.95 % (8121)------------------------------
% 1.69/1.95 % (8121)------------------------------
% 1.69/1.96 % (8134)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_7707 for (2993ds/41Mi)
% 1.69/1.96 % (8126)Instruction limit reached!
% 1.69/1.96 % (8126)------------------------------
% 1.69/1.96 % (8126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.96 % (8126)Termination reason: Unknown
% 1.69/1.96 % (8126)Termination phase: Saturation
% 1.69/1.96
% 1.69/1.96 % (8126)Memory used [KB]: 5884
% 1.69/1.96 % (8126)Time elapsed: 0.041 s
% 1.69/1.96 % (8126)Instructions burned: 83 (million)
% 1.69/1.96 % (8126)------------------------------
% 1.69/1.96 % (8126)------------------------------
% 1.69/1.97 % (8138)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7707 for (2993ds/6Mi)
% 1.69/1.97 % (8138)Instruction limit reached!
% 1.69/1.97 % (8138)------------------------------
% 1.69/1.97 % (8138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.97 % (8138)Termination reason: Unknown
% 1.69/1.97 % (8138)Termination phase: Saturation
% 1.69/1.97
% 1.69/1.97 % (8138)Memory used [KB]: 5500
% 1.69/1.97 % (8138)Time elapsed: 0.005 s
% 1.69/1.97 % (8138)Instructions burned: 6 (million)
% 1.69/1.97 % (8138)------------------------------
% 1.69/1.97 % (8138)------------------------------
% 1.69/1.98 % (8134)Instruction limit reached!
% 1.69/1.98 % (8134)------------------------------
% 1.69/1.98 % (8134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.98 % (8134)Termination reason: Unknown
% 1.69/1.98 % (8134)Termination phase: Saturation
% 1.69/1.98
% 1.69/1.98 % (8134)Memory used [KB]: 5628
% 1.69/1.98 % (8134)Time elapsed: 0.021 s
% 1.69/1.98 % (8134)Instructions burned: 41 (million)
% 1.69/1.98 % (8134)------------------------------
% 1.69/1.98 % (8134)------------------------------
% 1.69/1.98 % (8063)Instruction limit reached!
% 1.69/1.98 % (8063)------------------------------
% 1.69/1.98 % (8063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.98 % (8063)Termination reason: Unknown
% 1.69/1.98 % (8063)Termination phase: Saturation
% 1.69/1.98
% 1.69/1.98 % (8063)Memory used [KB]: 6652
% 1.69/1.98 % (8063)Time elapsed: 0.231 s
% 1.69/1.98 % (8063)Instructions burned: 507 (million)
% 1.69/1.98 % (8063)------------------------------
% 1.69/1.98 % (8063)------------------------------
% 1.69/1.99 % (8144)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_7707 for (2993ds/343Mi)
% 1.69/1.99 % (8141)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_7707 for (2993ds/150Mi)
% 1.69/1.99 % (8146)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_7707 for (2993ds/109Mi)
% 1.69/2.00 % (8147)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_7707 for (2993ds/253Mi)
% 6.79/2.04 % (8141)Instruction limit reached!
% 6.79/2.04 % (8141)------------------------------
% 6.79/2.04 % (8141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.04 % (8141)Termination reason: Unknown
% 6.79/2.04 % (8141)Termination phase: Saturation
% 6.79/2.04
% 6.79/2.04 % (8141)Memory used [KB]: 6012
% 6.79/2.04 % (8141)Time elapsed: 0.077 s
% 6.79/2.04 % (8141)Instructions burned: 152 (million)
% 6.79/2.04 % (8141)------------------------------
% 6.79/2.04 % (8141)------------------------------
% 6.79/2.05 % (8101)Instruction limit reached!
% 6.79/2.05 % (8101)------------------------------
% 6.79/2.05 % (8101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.05 % (8101)Termination reason: Unknown
% 6.79/2.05 % (8101)Termination phase: Saturation
% 6.79/2.05
% 6.79/2.05 % (8101)Memory used [KB]: 3070
% 6.79/2.05 % (8101)Time elapsed: 0.194 s
% 6.79/2.05 % (8101)Instructions burned: 432 (million)
% 6.79/2.05 % (8101)------------------------------
% 6.79/2.05 % (8101)------------------------------
% 6.79/2.05 % (8146)Instruction limit reached!
% 6.79/2.05 % (8146)------------------------------
% 6.79/2.05 % (8146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.05 % (8146)Termination reason: Unknown
% 6.79/2.05 % (8146)Termination phase: Saturation
% 6.79/2.05
% 6.79/2.05 % (8146)Memory used [KB]: 6140
% 6.79/2.05 % (8146)Time elapsed: 0.079 s
% 6.79/2.05 % (8146)Instructions burned: 110 (million)
% 6.79/2.05 % (8146)------------------------------
% 6.79/2.05 % (8146)------------------------------
% 6.79/2.05 % (8155)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_7707 for (2992ds/140Mi)
% 6.79/2.07 % (8158)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_7707 for (2992ds/202Mi)
% 6.79/2.07 % (8157)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_7707 for (2992ds/614Mi)
% 6.79/2.11 % (8155)Instruction limit reached!
% 6.79/2.11 % (8155)------------------------------
% 6.79/2.11 % (8155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.11 % (8155)Termination reason: Unknown
% 6.79/2.11 % (8155)Termination phase: Saturation
% 6.79/2.11
% 6.79/2.11 % (8155)Memory used [KB]: 6140
% 6.79/2.11 % (8155)Time elapsed: 0.055 s
% 6.79/2.11 % (8155)Instructions burned: 141 (million)
% 6.79/2.11 % (8155)------------------------------
% 6.79/2.11 % (8155)------------------------------
% 6.79/2.11 % (8147)Instruction limit reached!
% 6.79/2.11 % (8147)------------------------------
% 6.79/2.11 % (8147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.11 % (8147)Termination reason: Unknown
% 6.79/2.11 % (8147)Termination phase: Saturation
% 6.79/2.11
% 6.79/2.11 % (8147)Memory used [KB]: 6012
% 6.79/2.11 % (8147)Time elapsed: 0.143 s
% 6.79/2.11 % (8147)Instructions burned: 253 (million)
% 6.79/2.11 % (8147)------------------------------
% 6.79/2.11 % (8147)------------------------------
% 6.79/2.12 % (8118)Instruction limit reached!
% 6.79/2.12 % (8118)------------------------------
% 6.79/2.12 % (8118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.12 % (8118)Termination reason: Unknown
% 6.79/2.12 % (8118)Termination phase: Saturation
% 6.79/2.12
% 6.79/2.12 % (8118)Memory used [KB]: 6140
% 6.79/2.12 % (8118)Time elapsed: 0.216 s
% 6.79/2.12 % (8118)Instructions burned: 454 (million)
% 6.79/2.12 % (8118)------------------------------
% 6.79/2.12 % (8118)------------------------------
% 7.39/2.13 % (8166)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_7707 for (2991ds/339Mi)
% 7.39/2.13 % (8168)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_7707 for (2991ds/283Mi)
% 7.39/2.13 % (8169)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_7707 for (2991ds/134Mi)
% 7.39/2.14 % (8144)Instruction limit reached!
% 7.39/2.14 % (8144)------------------------------
% 7.39/2.14 % (8144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/2.14 % (8144)Termination reason: Unknown
% 7.39/2.14 % (8144)Termination phase: Saturation
% 7.39/2.14
% 7.39/2.14 % (8144)Memory used [KB]: 6652
% 7.39/2.14 % (8144)Time elapsed: 0.176 s
% 7.39/2.14 % (8144)Instructions burned: 346 (million)
% 7.39/2.14 % (8144)------------------------------
% 7.39/2.14 % (8144)------------------------------
% 7.39/2.15 % (8175)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_7707 for (2991ds/298Mi)
% 7.39/2.16 % (8158)Instruction limit reached!
% 7.39/2.16 % (8158)------------------------------
% 7.39/2.16 % (8158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/2.16 % (8158)Termination reason: Unknown
% 7.39/2.16 % (8158)Termination phase: Saturation
% 7.39/2.16
% 7.39/2.16 % (8158)Memory used [KB]: 6140
% 7.39/2.16 % (8158)Time elapsed: 0.100 s
% 7.39/2.16 % (8158)Instructions burned: 202 (million)
% 7.39/2.16 % (8158)------------------------------
% 7.39/2.16 % (8158)------------------------------
% 7.39/2.18 % (8183)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_7707 for (2991ds/192Mi)
% 7.60/2.20 % (8169)Instruction limit reached!
% 7.60/2.20 % (8169)------------------------------
% 7.60/2.20 % (8169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.20 % (8169)Termination reason: Unknown
% 7.60/2.20 % (8169)Termination phase: Saturation
% 7.60/2.20
% 7.60/2.20 % (8169)Memory used [KB]: 6268
% 7.60/2.20 % (8169)Time elapsed: 0.068 s
% 7.60/2.20 % (8169)Instructions burned: 134 (million)
% 7.60/2.20 % (8169)------------------------------
% 7.60/2.20 % (8169)------------------------------
% 7.60/2.22 % (8190)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_7707 for (2990ds/258Mi)
% 7.60/2.26 % (8183)Instruction limit reached!
% 7.60/2.26 % (8183)------------------------------
% 7.60/2.26 % (8183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.26 % (8183)Termination reason: Unknown
% 7.60/2.26 % (8183)Termination phase: Saturation
% 7.60/2.26
% 7.60/2.26 % (8183)Memory used [KB]: 6140
% 7.60/2.26 % (8183)Time elapsed: 0.076 s
% 7.60/2.26 % (8183)Instructions burned: 192 (million)
% 7.60/2.26 % (8183)------------------------------
% 7.60/2.26 % (8183)------------------------------
% 7.60/2.26 % (8168)Instruction limit reached!
% 7.60/2.26 % (8168)------------------------------
% 7.60/2.26 % (8168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.26 % (8168)Termination reason: Unknown
% 7.60/2.26 % (8168)Termination phase: Saturation
% 7.60/2.26
% 7.60/2.26 % (8168)Memory used [KB]: 7547
% 7.60/2.26 % (8168)Time elapsed: 0.130 s
% 7.60/2.26 % (8168)Instructions burned: 284 (million)
% 7.60/2.26 % (8168)------------------------------
% 7.60/2.26 % (8168)------------------------------
% 7.60/2.26 % (8083)Instruction limit reached!
% 7.60/2.26 % (8083)------------------------------
% 7.60/2.26 % (8083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.26 % (8083)Termination reason: Unknown
% 7.60/2.26 % (8083)Termination phase: Saturation
% 7.60/2.26
% 7.60/2.26 % (8083)Memory used [KB]: 7036
% 7.60/2.26 % (8083)Time elapsed: 0.469 s
% 7.60/2.26 % (8083)Instructions burned: 1087 (million)
% 7.60/2.26 % (8083)------------------------------
% 7.60/2.26 % (8083)------------------------------
% 7.60/2.27 % (8195)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_7707 for (2990ds/90Mi)
% 7.60/2.28 % (8196)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_7707 for (2990ds/231Mi)
% 7.60/2.28 % (8198)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_7707 for (2990ds/458Mi)
% 7.60/2.29 % (8157)Instruction limit reached!
% 7.60/2.29 % (8157)------------------------------
% 7.60/2.29 % (8157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.29 % (8157)Termination reason: Unknown
% 7.60/2.29 % (8157)Termination phase: Saturation
% 7.60/2.29
% 7.60/2.29 % (8157)Memory used [KB]: 6652
% 7.60/2.29 % (8157)Time elapsed: 0.225 s
% 7.60/2.29 % (8157)Instructions burned: 615 (million)
% 7.60/2.29 % (8157)------------------------------
% 7.60/2.29 % (8157)------------------------------
% 7.60/2.29 % (8175)Instruction limit reached!
% 7.60/2.29 % (8175)------------------------------
% 7.60/2.29 % (8175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.29 % (8175)Termination reason: Unknown
% 7.60/2.29 % (8175)Termination phase: Saturation
% 7.60/2.29
% 7.60/2.29 % (8175)Memory used [KB]: 6140
% 7.60/2.29 % (8175)Time elapsed: 0.140 s
% 7.60/2.29 % (8175)Instructions burned: 298 (million)
% 7.60/2.29 % (8175)------------------------------
% 7.60/2.29 % (8175)------------------------------
% 7.60/2.29 % (8195)Instruction limit reached!
% 7.60/2.29 % (8195)------------------------------
% 7.60/2.29 % (8195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.29 % (8195)Termination reason: Unknown
% 7.60/2.29 % (8195)Termination phase: Saturation
% 7.60/2.29 % (8166)Instruction limit reached!
% 7.60/2.29 % (8166)------------------------------
% 7.60/2.29 % (8166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.29
% 7.60/2.29 % (8195)Memory used [KB]: 5884
% 7.60/2.29 % (8195)Time elapsed: 0.029 s
% 7.60/2.29 % (8195)Instructions burned: 91 (million)
% 7.60/2.29 % (8195)------------------------------
% 7.60/2.29 % (8195)------------------------------
% 7.60/2.30 % (8166)Termination reason: Unknown
% 7.60/2.30 % (8166)Termination phase: Saturation
% 7.60/2.30
% 7.60/2.30 % (8166)Memory used [KB]: 6140
% 7.60/2.30 % (8166)Time elapsed: 0.170 s
% 7.60/2.30 % (8166)Instructions burned: 341 (million)
% 7.60/2.30 % (8166)------------------------------
% 7.60/2.30 % (8166)------------------------------
% 8.61/2.30 % (8201)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_7707 for (2989ds/297Mi)
% 8.61/2.30 % (8202)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_7707 for (2989ds/987Mi)
% 8.61/2.31 % (8200)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_7707 for (2989ds/31Mi)
% 8.61/2.31 % (8203)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_7707 for (2989ds/182Mi)
% 8.61/2.32 % (8200)Instruction limit reached!
% 8.61/2.32 % (8200)------------------------------
% 8.61/2.32 % (8200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.32 % (8200)Termination reason: Unknown
% 8.61/2.32 % (8200)Termination phase: Saturation
% 8.61/2.32
% 8.61/2.32 % (8200)Memory used [KB]: 5756
% 8.61/2.32 % (8200)Time elapsed: 0.018 s
% 8.61/2.32 % (8200)Instructions burned: 32 (million)
% 8.61/2.32 % (8200)------------------------------
% 8.61/2.32 % (8200)------------------------------
% 8.61/2.34 % (8190)Instruction limit reached!
% 8.61/2.34 % (8190)------------------------------
% 8.61/2.34 % (8190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.34 % (8190)Termination reason: Unknown
% 8.61/2.34 % (8190)Termination phase: Saturation
% 8.61/2.34
% 8.61/2.34 % (8190)Memory used [KB]: 6012
% 8.61/2.34 % (8190)Time elapsed: 0.127 s
% 8.61/2.34 % (8190)Instructions burned: 258 (million)
% 8.61/2.34 % (8190)------------------------------
% 8.61/2.34 % (8190)------------------------------
% 8.61/2.35 % (8206)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_7707 for (2989ds/182Mi)
% 8.61/2.36 % (8207)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_7707 for (2989ds/154Mi)
% 8.61/2.38 % (8196)Instruction limit reached!
% 8.61/2.38 % (8196)------------------------------
% 8.61/2.38 % (8196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.38 % (8196)Termination reason: Unknown
% 8.61/2.38 % (8196)Termination phase: Saturation
% 8.61/2.38
% 8.61/2.38 % (8196)Memory used [KB]: 5884
% 8.61/2.38 % (8196)Time elapsed: 0.098 s
% 8.61/2.38 % (8196)Instructions burned: 232 (million)
% 8.61/2.38 % (8196)------------------------------
% 8.61/2.38 % (8196)------------------------------
% 8.61/2.39 % (8211)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_7707 for (2988ds/79Mi)
% 8.61/2.39 % (8203)Instruction limit reached!
% 8.61/2.39 % (8203)------------------------------
% 8.61/2.39 % (8203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.39 % (8203)Termination reason: Unknown
% 8.61/2.39 % (8203)Termination phase: Saturation
% 8.61/2.39
% 8.61/2.39 % (8203)Memory used [KB]: 6652
% 8.61/2.39 % (8203)Time elapsed: 0.079 s
% 8.61/2.39 % (8203)Instructions burned: 183 (million)
% 8.61/2.39 % (8203)------------------------------
% 8.61/2.39 % (8203)------------------------------
% 8.99/2.41 % (8206)Instruction limit reached!
% 8.99/2.41 % (8206)------------------------------
% 8.99/2.41 % (8206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.99/2.41 % (8206)Termination reason: Unknown
% 8.99/2.41 % (8206)Termination phase: Saturation
% 8.99/2.41
% 8.99/2.41 % (8206)Memory used [KB]: 6012
% 8.99/2.41 % (8206)Time elapsed: 0.088 s
% 8.99/2.41 % (8206)Instructions burned: 182 (million)
% 8.99/2.41 % (8206)------------------------------
% 8.99/2.41 % (8206)------------------------------
% 8.99/2.42 % (8211)Instruction limit reached!
% 8.99/2.42 % (8211)------------------------------
% 8.99/2.42 % (8211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.99/2.42 % (8211)Termination reason: Unknown
% 8.99/2.42 % (8211)Termination phase: Saturation
% 8.99/2.42
% 8.99/2.42 % (8211)Memory used [KB]: 5884
% 8.99/2.42 % (8211)Time elapsed: 0.028 s
% 8.99/2.42 % (8211)Instructions burned: 82 (million)
% 8.99/2.42 % (8211)------------------------------
% 8.99/2.42 % (8211)------------------------------
% 8.99/2.42 % (8213)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_7707 for (2988ds/216Mi)
% 8.99/2.43 % (8215)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_7707 for (2988ds/114Mi)
% 8.99/2.43 % (8216)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_7707 for (2988ds/922Mi)
% 8.99/2.43 % (8207)Instruction limit reached!
% 8.99/2.43 % (8207)------------------------------
% 8.99/2.43 % (8207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.99/2.43 % (8207)Termination reason: Unknown
% 8.99/2.43 % (8207)Termination phase: Saturation
% 8.99/2.43
% 8.99/2.43 % (8207)Memory used [KB]: 5884
% 8.99/2.43 % (8207)Time elapsed: 0.076 s
% 8.99/2.43 % (8207)Instructions burned: 155 (million)
% 8.99/2.43 % (8207)------------------------------
% 8.99/2.43 % (8207)------------------------------
% 8.99/2.44 % (8201)Instruction limit reached!
% 8.99/2.44 % (8201)------------------------------
% 8.99/2.44 % (8201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.99/2.44 % (8201)Termination reason: Unknown
% 8.99/2.44 % (8201)Termination phase: Saturation
% 8.99/2.44
% 8.99/2.44 % (8201)Memory used [KB]: 6524
% 8.99/2.44 % (8201)Time elapsed: 0.137 s
% 8.99/2.44 % (8201)Instructions burned: 297 (million)
% 8.99/2.44 % (8201)------------------------------
% 8.99/2.44 % (8201)------------------------------
% 8.99/2.45 % (8219)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_7707 for (2988ds/182Mi)
% 8.99/2.46 % (8221)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_7707 for (2988ds/164Mi)
% 8.99/2.48 % (8215)Instruction limit reached!
% 8.99/2.48 % (8215)------------------------------
% 8.99/2.48 % (8215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.99/2.48 % (8215)Termination reason: Unknown
% 8.99/2.48 % (8215)Termination phase: Saturation
% 8.99/2.48
% 8.99/2.48 % (8215)Memory used [KB]: 6140
% 8.99/2.48 % (8215)Time elapsed: 0.056 s
% 8.99/2.48 % (8215)Instructions burned: 114 (million)
% 8.99/2.48 % (8215)------------------------------
% 8.99/2.48 % (8215)------------------------------
% 9.42/2.50 % (8225)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_7707 for (2987ds/50Mi)
% 9.42/2.50 % (8198)Instruction limit reached!
% 9.42/2.50 % (8198)------------------------------
% 9.42/2.50 % (8198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.50 % (8198)Termination reason: Unknown
% 9.42/2.50 % (8198)Termination phase: Saturation
% 9.42/2.50
% 9.42/2.50 % (8198)Memory used [KB]: 6396
% 9.42/2.50 % (8198)Time elapsed: 0.226 s
% 9.42/2.50 % (8198)Instructions burned: 459 (million)
% 9.42/2.50 % (8198)------------------------------
% 9.42/2.50 % (8198)------------------------------
% 9.42/2.52 % (8219)Instruction limit reached!
% 9.42/2.52 % (8219)------------------------------
% 9.42/2.52 % (8219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.52 % (8219)Termination reason: Unknown
% 9.42/2.52 % (8219)Termination phase: Saturation
% 9.42/2.52
% 9.42/2.52 % (8219)Memory used [KB]: 5884
% 9.42/2.52 % (8219)Time elapsed: 0.070 s
% 9.42/2.52 % (8219)Instructions burned: 182 (million)
% 9.42/2.52 % (8219)------------------------------
% 9.42/2.52 % (8219)------------------------------
% 9.42/2.52 % (8227)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_7707 for (2987ds/368Mi)
% 9.42/2.52 % (8225)Instruction limit reached!
% 9.42/2.52 % (8225)------------------------------
% 9.42/2.52 % (8225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.52 % (8225)Termination reason: Unknown
% 9.42/2.52 % (8225)Termination phase: Saturation
% 9.42/2.52
% 9.42/2.52 % (8225)Memory used [KB]: 10490
% 9.42/2.52 % (8225)Time elapsed: 0.026 s
% 9.42/2.52 % (8225)Instructions burned: 51 (million)
% 9.42/2.52 % (8225)------------------------------
% 9.42/2.52 % (8225)------------------------------
% 9.42/2.53 % (8213)Instruction limit reached!
% 9.42/2.53 % (8213)------------------------------
% 9.42/2.53 % (8213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.53 % (8213)Termination reason: Unknown
% 9.42/2.53 % (8213)Termination phase: Saturation
% 9.42/2.53
% 9.42/2.53 % (8213)Memory used [KB]: 6140
% 9.42/2.53 % (8213)Time elapsed: 0.128 s
% 9.42/2.53 % (8213)Instructions burned: 216 (million)
% 9.42/2.53 % (8213)------------------------------
% 9.42/2.53 % (8213)------------------------------
% 9.42/2.53 % (8229)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_7707 for (2987ds/1021Mi)
% 9.42/2.54 % (8230)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_7707 for (2987ds/267Mi)
% 9.42/2.54 % (8221)Instruction limit reached!
% 9.42/2.54 % (8221)------------------------------
% 9.42/2.54 % (8221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.54 % (8221)Termination reason: Unknown
% 9.42/2.54 % (8221)Termination phase: Saturation
% 9.42/2.54
% 9.42/2.54 % (8221)Memory used [KB]: 1535
% 9.42/2.54 % (8221)Time elapsed: 0.084 s
% 9.42/2.54 % (8221)Instructions burned: 165 (million)
% 9.42/2.54 % (8221)------------------------------
% 9.42/2.54 % (8221)------------------------------
% 9.42/2.54 % (8231)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_7707 for (2987ds/204Mi)
% 9.42/2.56 % (8233)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_7707 for (2987ds/26Mi)
% 9.42/2.57 % (8233)Instruction limit reached!
% 9.42/2.57 % (8233)------------------------------
% 9.42/2.57 % (8233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.57 % (8233)Termination reason: Unknown
% 9.42/2.57 % (8233)Termination phase: Saturation
% 9.42/2.57
% 9.42/2.57 % (8233)Memory used [KB]: 5628
% 9.42/2.57 % (8233)Time elapsed: 0.014 s
% 9.42/2.57 % (8233)Instructions burned: 26 (million)
% 9.42/2.57 % (8233)------------------------------
% 9.42/2.57 % (8233)------------------------------
% 9.42/2.58 % (8235)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_7707 for (2987ds/53Mi)
% 10.03/2.61 % (8235)Instruction limit reached!
% 10.03/2.61 % (8235)------------------------------
% 10.03/2.61 % (8235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.03/2.61 % (8235)Termination reason: Unknown
% 10.03/2.61 % (8235)Termination phase: Saturation
% 10.03/2.61
% 10.03/2.61 % (8235)Memory used [KB]: 5884
% 10.03/2.61 % (8235)Time elapsed: 0.027 s
% 10.03/2.61 % (8235)Instructions burned: 53 (million)
% 10.03/2.61 % (8235)------------------------------
% 10.03/2.61 % (8235)------------------------------
% 10.03/2.62 % (8240)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_7707 for (2986ds/4436Mi)
% 10.03/2.63 % (8230)Instruction limit reached!
% 10.03/2.63 % (8230)------------------------------
% 10.03/2.63 % (8230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.03/2.63 % (8230)Termination reason: Unknown
% 10.03/2.63 % (8230)Termination phase: Saturation
% 10.03/2.63
% 10.03/2.63 % (8230)Memory used [KB]: 6140
% 10.03/2.63 % (8230)Time elapsed: 0.091 s
% 10.03/2.63 % (8230)Instructions burned: 268 (million)
% 10.03/2.63 % (8230)------------------------------
% 10.03/2.63 % (8230)------------------------------
% 10.03/2.64 % (8243)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_7707 for (2986ds/1539Mi)
% 10.03/2.64 % (8231)Instruction limit reached!
% 10.03/2.64 % (8231)------------------------------
% 10.03/2.64 % (8231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.03/2.64 % (8231)Termination reason: Unknown
% 10.03/2.64 % (8231)Termination phase: Saturation
% 10.03/2.64
% 10.03/2.64 % (8231)Memory used [KB]: 6012
% 10.03/2.64 % (8231)Time elapsed: 0.120 s
% 10.03/2.64 % (8231)Instructions burned: 205 (million)
% 10.03/2.64 % (8231)------------------------------
% 10.03/2.64 % (8231)------------------------------
% 10.03/2.66 % (8246)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_7707 for (2986ds/408Mi)
% 10.29/2.70 % (8227)Instruction limit reached!
% 10.29/2.70 % (8227)------------------------------
% 10.29/2.70 % (8227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.29/2.70 % (8227)Termination reason: Unknown
% 10.29/2.70 % (8227)Termination phase: Saturation
% 10.29/2.70
% 10.29/2.70 % (8227)Memory used [KB]: 6652
% 10.29/2.70 % (8227)Time elapsed: 0.182 s
% 10.29/2.70 % (8227)Instructions burned: 369 (million)
% 10.29/2.70 % (8227)------------------------------
% 10.29/2.70 % (8227)------------------------------
% 10.29/2.72 % (8253)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_7707 for (2985ds/5205Mi)
% 10.29/2.77 % (8202)Instruction limit reached!
% 10.29/2.77 % (8202)------------------------------
% 10.29/2.77 % (8202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.29/2.77 % (8202)Termination reason: Unknown
% 10.29/2.77 % (8202)Termination phase: Saturation
% 10.29/2.77
% 10.29/2.77 % (8202)Memory used [KB]: 7803
% 10.29/2.77 % (8202)Time elapsed: 0.467 s
% 10.29/2.77 % (8202)Instructions burned: 988 (million)
% 10.29/2.77 % (8202)------------------------------
% 10.29/2.77 % (8202)------------------------------
% 10.29/2.79 % (8265)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_7707 for (2985ds/1913Mi)
% 10.97/2.84 % (8246)Instruction limit reached!
% 10.97/2.84 % (8246)------------------------------
% 10.97/2.84 % (8246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.97/2.84 % (8246)Termination reason: Unknown
% 10.97/2.84 % (8246)Termination phase: Saturation
% 10.97/2.84
% 10.97/2.84 % (8246)Memory used [KB]: 6652
% 10.97/2.84 % (8246)Time elapsed: 0.200 s
% 10.97/2.84 % (8246)Instructions burned: 409 (million)
% 10.97/2.84 % (8246)------------------------------
% 10.97/2.84 % (8246)------------------------------
% 10.97/2.84 % (8216)Instruction limit reached!
% 10.97/2.84 % (8216)------------------------------
% 10.97/2.84 % (8216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.97/2.84 % (8216)Termination reason: Unknown
% 10.97/2.84 % (8216)Termination phase: Saturation
% 10.97/2.84
% 10.97/2.84 % (8216)Memory used [KB]: 6908
% 10.97/2.84 % (8216)Time elapsed: 0.419 s
% 10.97/2.84 % (8216)Instructions burned: 923 (million)
% 10.97/2.84 % (8216)------------------------------
% 10.97/2.84 % (8216)------------------------------
% 10.97/2.85 % (8273)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_7707 for (2984ds/4350Mi)
% 10.97/2.86 % (8276)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_7707 for (2984ds/68Mi)
% 10.97/2.89 % (8276)Instruction limit reached!
% 10.97/2.89 % (8276)------------------------------
% 10.97/2.89 % (8276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.97/2.89 % (8276)Termination reason: Unknown
% 10.97/2.89 % (8276)Termination phase: Saturation
% 10.97/2.89
% 10.97/2.89 % (8276)Memory used [KB]: 6012
% 10.97/2.89 % (8276)Time elapsed: 0.036 s
% 10.97/2.89 % (8276)Instructions burned: 68 (million)
% 10.97/2.89 % (8276)------------------------------
% 10.97/2.89 % (8276)------------------------------
% 11.63/2.91 % (8284)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_7707 for (2983ds/358Mi)
% 11.63/2.98 % (8229)Instruction limit reached!
% 11.63/2.98 % (8229)------------------------------
% 11.63/2.98 % (8229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.63/2.98 % (8229)Termination reason: Unknown
% 11.63/2.98 % (8229)Termination phase: Saturation
% 11.63/2.98
% 11.63/2.98 % (8229)Memory used [KB]: 6780
% 11.63/2.98 % (8229)Time elapsed: 0.453 s
% 11.63/2.98 % (8229)Instructions burned: 1021 (million)
% 11.63/2.98 % (8229)------------------------------
% 11.63/2.98 % (8229)------------------------------
% 11.63/3.01 % (8297)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_7707 for (2983ds/31Mi)
% 13.70/3.04 % (8297)Instruction limit reached!
% 13.70/3.04 % (8297)------------------------------
% 13.70/3.04 % (8297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.70/3.04 % (8297)Termination reason: Unknown
% 13.70/3.04 % (8297)Termination phase: Saturation
% 13.70/3.04
% 13.70/3.04 % (8297)Memory used [KB]: 5756
% 13.70/3.04 % (8297)Time elapsed: 0.061 s
% 13.70/3.04 % (8297)Instructions burned: 33 (million)
% 13.70/3.04 % (8297)------------------------------
% 13.70/3.04 % (8297)------------------------------
% 13.70/3.05 % (8305)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_7707 for (2982ds/279Mi)
% 13.70/3.08 % (8284)Instruction limit reached!
% 13.70/3.08 % (8284)------------------------------
% 13.70/3.08 % (8284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.70/3.08 % (8284)Termination reason: Unknown
% 13.70/3.08 % (8284)Termination phase: Saturation
% 13.70/3.08
% 13.70/3.08 % (8284)Memory used [KB]: 6268
% 13.70/3.08 % (8284)Time elapsed: 0.182 s
% 13.70/3.08 % (8284)Instructions burned: 359 (million)
% 13.70/3.08 % (8284)------------------------------
% 13.70/3.08 % (8284)------------------------------
% 13.70/3.09 % (8306)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_7707 for (2982ds/258Mi)
% 14.30/3.19 % (8305)Instruction limit reached!
% 14.30/3.19 % (8305)------------------------------
% 14.30/3.19 % (8305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.30/3.19 % (8305)Termination reason: Unknown
% 14.30/3.19 % (8305)Termination phase: Saturation
% 14.30/3.19
% 14.30/3.19 % (8305)Memory used [KB]: 6140
% 14.30/3.19 % (8305)Time elapsed: 0.158 s
% 14.30/3.19 % (8305)Instructions burned: 279 (million)
% 14.30/3.19 % (8305)------------------------------
% 14.30/3.19 % (8305)------------------------------
% 14.80/3.21 % (8312)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_7707 for (2980ds/26Mi)
% 14.80/3.21 % (8306)Instruction limit reached!
% 14.80/3.21 % (8306)------------------------------
% 14.80/3.21 % (8306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.80/3.21 % (8306)Termination reason: Unknown
% 14.80/3.21 % (8306)Termination phase: Saturation
% 14.80/3.21
% 14.80/3.21 % (8306)Memory used [KB]: 6268
% 14.80/3.21 % (8306)Time elapsed: 0.143 s
% 14.80/3.21 % (8306)Instructions burned: 258 (million)
% 14.80/3.21 % (8306)------------------------------
% 14.80/3.21 % (8306)------------------------------
% 14.80/3.22 % (8243)Instruction limit reached!
% 14.80/3.22 % (8243)------------------------------
% 14.80/3.22 % (8243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.80/3.22 % (8243)Termination reason: Unknown
% 14.80/3.22 % (8243)Termination phase: Saturation
% 14.80/3.22
% 14.80/3.22 % (8243)Memory used [KB]: 7931
% 14.80/3.22 % (8243)Time elapsed: 0.585 s
% 14.80/3.22 % (8243)Instructions burned: 1541 (million)
% 14.80/3.22 % (8243)------------------------------
% 14.80/3.22 % (8243)------------------------------
% 14.80/3.22 % (8312)Instruction limit reached!
% 14.80/3.22 % (8312)------------------------------
% 14.80/3.22 % (8312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.80/3.22 % (8312)Termination reason: Unknown
% 14.80/3.22 % (8312)Termination phase: Saturation
% 14.80/3.22
% 14.80/3.22 % (8312)Memory used [KB]: 5628
% 14.80/3.22 % (8312)Time elapsed: 0.037 s
% 14.80/3.22 % (8312)Instructions burned: 26 (million)
% 14.80/3.22 % (8312)------------------------------
% 14.80/3.22 % (8312)------------------------------
% 14.80/3.23 % (8314)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_7707 for (2980ds/995Mi)
% 14.80/3.23 % (8316)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_7707 for (2980ds/373Mi)
% 14.80/3.24 % (8317)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_7707 for (2980ds/253Mi)
% 15.40/3.36 % (8317)Instruction limit reached!
% 15.40/3.36 % (8317)------------------------------
% 15.40/3.36 % (8317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.40/3.36 % (8317)Termination reason: Unknown
% 15.40/3.36 % (8317)Termination phase: Saturation
% 15.40/3.36
% 15.40/3.36 % (8317)Memory used [KB]: 5756
% 15.40/3.36 % (8317)Time elapsed: 0.120 s
% 15.40/3.36 % (8317)Instructions burned: 253 (million)
% 15.40/3.36 % (8317)------------------------------
% 15.40/3.36 % (8317)------------------------------
% 15.40/3.37 % (8322)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_7707 for (2979ds/832Mi)
% 15.95/3.40 % (8316)Instruction limit reached!
% 15.95/3.40 % (8316)------------------------------
% 15.95/3.40 % (8316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.95/3.40 % (8316)Termination reason: Unknown
% 15.95/3.40 % (8316)Termination phase: Saturation
% 15.95/3.40
% 15.95/3.40 % (8316)Memory used [KB]: 6524
% 15.95/3.40 % (8316)Time elapsed: 0.174 s
% 15.95/3.40 % (8316)Instructions burned: 373 (million)
% 15.95/3.40 % (8316)------------------------------
% 15.95/3.40 % (8316)------------------------------
% 15.95/3.42 % (8327)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_7707 for (2978ds/668Mi)
% 16.53/3.50 % (8327)First to succeed.
% 16.53/3.50 % (8327)Refutation found. Thanks to Tanya!
% 16.53/3.50 % SZS status Theorem for DTF2THF_7707
% 16.53/3.50 % SZS output start Proof for DTF2THF_7707
% 16.53/3.50 thf(type_def_5, type, a: $tType).
% 16.53/3.50 thf(func_def_0, type, a: $tType).
% 16.53/3.50 thf(func_def_2, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 16.53/3.50 thf(func_def_16, type, ph1: !>[X0: $tType]:(X0)).
% 16.53/3.50 thf(func_def_17, type, sK2: (a > $o) > a).
% 16.53/3.50 thf(func_def_18, type, sK3: a > a > $o).
% 16.53/3.50 thf(func_def_19, type, sK4: a > a).
% 16.53/3.50 thf(func_def_20, type, sK5: (a > $o) > a > a).
% 16.53/3.50 thf(f521,plain,(
% 16.53/3.50 $false),
% 16.53/3.50 inference(avatar_sat_refutation,[status(thm)],[f456,f493,f520])).
% 16.53/3.50 thf(f520,plain,(
% 16.53/3.50 ~spl0_1 | spl0_2),
% 16.53/3.50 inference(avatar_contradiction_clause,[status(thm)],[f519])).
% 16.53/3.50 thf(f519,plain,(
% 16.53/3.50 $false | (~spl0_1 | spl0_2)),
% 16.53/3.50 inference(subsumption_resolution,[status(thm)],[f513,f454])).
% 16.53/3.50 thf(f454,plain,(
% 16.53/3.50 ((sK3 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) != $false) | spl0_2),
% 16.53/3.50 inference(avatar_component_clause,[status(thm)],[f453])).
% 16.53/3.50 thf(f453,definition,(
% 16.53/3.50 spl0_2 <=> ((sK3 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) = $false)),
% 16.53/3.50 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 16.53/3.50 thf(f513,plain,(
% 16.53/3.50 ((sK3 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) = $false) | ~spl0_1),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f511])).
% 16.53/3.50 thf(f511,plain,(
% 16.53/3.50 ((sK3 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) = $false) | ($true = $false) | ~spl0_1),
% 16.53/3.50 inference(superposition,[status(thm)],[f22,f451])).
% 16.53/3.50 thf(f451,plain,(
% 16.53/3.50 ((sK3 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))) @ (sK4 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) = $false) | ~spl0_1),
% 16.53/3.50 inference(avatar_component_clause,[status(thm)],[f449])).
% 16.53/3.50 thf(f449,definition,(
% 16.53/3.50 spl0_1 <=> ((sK3 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))) @ (sK4 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) = $false)),
% 16.53/3.50 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 16.53/3.50 thf(f22,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a] : (($true = (sK3 @ (sK4 @ X2) @ (sK4 @ X1))) | ((sK3 @ X2 @ X1) = $false)) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 16.53/3.50 thf(f21,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a] : (($true = ((sK3 @ X2 @ X1) => (sK3 @ (sK4 @ X2) @ (sK4 @ X1))))) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f20])).
% 16.53/3.50 thf(f20,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((sK3 @ Y0 @ X1) => (sK3 @ (sK4 @ Y0) @ (sK4 @ X1)))) @ X2))) )),
% 16.53/3.50 inference(pi_clausification,[status(thm)],[f19])).
% 16.53/3.50 thf(f19,plain,(
% 16.53/3.50 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((sK3 @ Y0 @ X1) => (sK3 @ (sK4 @ Y0) @ (sK4 @ X1))))))) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f18])).
% 16.53/3.50 thf(f18,plain,(
% 16.53/3.50 ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y1 @ Y0) => (sK3 @ (sK4 @ Y1) @ (sK4 @ Y0)))))) @ X1) = $true)) )),
% 16.53/3.50 inference(pi_clausification,[status(thm)],[f17])).
% 16.53/3.50 thf(f17,plain,(
% 16.53/3.50 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y1 @ Y0) => (sK3 @ (sK4 @ Y1) @ (sK4 @ Y0))))))))),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f15])).
% 16.53/3.50 thf(f15,plain,(
% 16.53/3.50 (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK3 @ Y1 @ Y0) => (sK3 @ (sK4 @ Y1) @ (sK4 @ Y0))))))) => (?? @ a @ (^[Y0 : a]: ((sK3 @ (sK4 @ Y0) @ Y0) & (sK3 @ Y0 @ (sK4 @ Y0)))))) = $false)),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f14])).
% 16.53/3.50 thf(f14,plain,(
% 16.53/3.50 (((^[Y0 : a > a]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y2 @ Y1) => (sK3 @ (Y0 @ Y2) @ (Y0 @ Y1))))))) => (?? @ a @ (^[Y1 : a]: ((sK3 @ (Y0 @ Y1) @ Y1) & (sK3 @ Y1 @ (Y0 @ Y1))))))) @ sK4) = $false)),
% 16.53/3.50 inference(sigma_clausification,[status(thm)],[f12])).
% 16.53/3.50 thf(f12,plain,(
% 16.53/3.50 ((!! @ (a > a) @ (^[Y0 : a > a]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y2 @ Y1) => (sK3 @ (Y0 @ Y2) @ (Y0 @ Y1))))))) => (?? @ a @ (^[Y1 : a]: ((sK3 @ (Y0 @ Y1) @ Y1) & (sK3 @ Y1 @ (Y0 @ Y1)))))))) = $false)),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f11])).
% 16.53/3.50 thf(f11,plain,(
% 16.53/3.50 ((((!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK3 @ Y2 @ Y1)))) => (sK3 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1 @ (sK2 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y0) & (sK3 @ Y2 @ Y1)) => (sK3 @ Y2 @ Y0))))))))) => (!! @ (a > a) @ (^[Y0 : a > a]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK3 @ Y2 @ Y1) => (sK3 @ (Y0 @ Y2) @ (Y0 @ Y1))))))) => (?? @ a @ (^[Y1 : a]: ((sK3 @ (Y0 @ Y1) @ Y1) & (sK3 @ Y1 @ (Y0 @ Y1))))))))) = $false)),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f10])).
% 16.53/3.50 thf(f10,plain,(
% 16.53/3.50 (((^[Y0 : a > a > $o]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) => (Y0 @ Y3 @ Y2)))) => (Y0 @ (sK2 @ Y1) @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2 @ (sK2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1))))))))) => (!! @ (a > a) @ (^[Y1 : a > a]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y0 @ Y3 @ Y2) => (Y0 @ (Y1 @ Y3) @ (Y1 @ Y2))))))) => (?? @ a @ (^[Y2 : a]: ((Y0 @ (Y1 @ Y2) @ Y2) & (Y0 @ Y2 @ (Y1 @ Y2)))))))))) @ sK3) = $false)),
% 16.53/3.50 inference(sigma_clausification,[status(thm)],[f9])).
% 16.53/3.50 thf(f9,plain,(
% 16.53/3.50 ((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) => (Y0 @ Y3 @ Y2)))) => (Y0 @ (sK2 @ Y1) @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2 @ (sK2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y1))))))))) => (!! @ (a > a) @ (^[Y1 : a > a]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y0 @ Y3 @ Y2) => (Y0 @ (Y1 @ Y3) @ (Y1 @ Y2))))))) => (?? @ a @ (^[Y2 : a]: ((Y0 @ (Y1 @ Y2) @ Y2) & (Y0 @ Y2 @ (Y1 @ Y2))))))))))) = $false)),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f8])).
% 16.53/3.50 thf(f8,plain,(
% 16.53/3.50 (((^[Y0 : (a > $o) > a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y1 @ Y4 @ Y3)))) => (Y1 @ (Y0 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3 @ (Y0 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y4 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y1 @ Y4 @ Y3) => (Y1 @ (Y2 @ Y4) @ (Y2 @ Y3))))))) => (?? @ a @ (^[Y3 : a]: ((Y1 @ (Y2 @ Y3) @ Y3) & (Y1 @ Y3 @ (Y2 @ Y3)))))))))))) @ sK2) = $false)),
% 16.53/3.50 inference(sigma_clausification,[status(thm)],[f7])).
% 16.53/3.50 thf(f7,plain,(
% 16.53/3.50 ((!! @ ((a > $o) > a) @ (^[Y0 : (a > $o) > a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y1 @ Y4 @ Y3)))) => (Y1 @ (Y0 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3 @ (Y0 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y4 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y1 @ Y4 @ Y3) => (Y1 @ (Y2 @ Y4) @ (Y2 @ Y3))))))) => (?? @ a @ (^[Y3 : a]: ((Y1 @ (Y2 @ Y3) @ Y3) & (Y1 @ Y3 @ (Y2 @ Y3))))))))))))) = $false)),
% 16.53/3.50 inference(not_proxy_clausification,[status(thm)],[f6])).
% 16.53/3.50 thf(f6,plain,(
% 16.53/3.50 ($true = (~ (!! @ ((a > $o) > a) @ (^[Y0 : (a > $o) > a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y1 @ Y4 @ Y3)))) => (Y1 @ (Y0 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3 @ (Y0 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y4 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y1 @ Y4 @ Y3) => (Y1 @ (Y2 @ Y4) @ (Y2 @ Y3))))))) => (?? @ a @ (^[Y3 : a]: ((Y1 @ (Y2 @ Y3) @ Y3) & (Y1 @ Y3 @ (Y2 @ Y3)))))))))))))))),
% 16.53/3.50 inference(cnf_transformation,[status(thm)],[f5])).
% 16.53/3.50 thf(f5,plain,(
% 16.53/3.50 ($true = (~ (!! @ ((a > $o) > a) @ (^[Y0 : (a > $o) > a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y1 @ Y4 @ Y3)))) => (Y1 @ (Y0 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3 @ (Y0 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y4 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y1 @ Y4 @ Y3) => (Y1 @ (Y2 @ Y4) @ (Y2 @ Y3))))))) => (?? @ a @ (^[Y3 : a]: ((Y1 @ (Y2 @ Y3) @ Y3) & (Y1 @ Y3 @ (Y2 @ Y3)))))))))))))))),
% 16.53/3.50 inference(fool_elimination,[status(thm)],[f4])).
% 16.53/3.50 thf(f4,plain,(
% 16.53/3.50 ~! [X0 : a > a > $o,X1 : (a > $o) > a] : ((! [X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X4)) => (X0 @ X2 @ X4)) & ! [X5 : a > $o] : (! [X6 : a] : ((X5 @ X6) => (X0 @ X6 @ (X1 @ X5))) & ! [X7 : a] : (! [X8 : a] : ((X5 @ X8) => (X0 @ X8 @ X7)) => (X0 @ (X1 @ X5) @ X7)))) => ! [X9 : a > a] : (! [X10 : a,X11 : a] : ((X0 @ X10 @ X11) => (X0 @ (X9 @ X10) @ (X9 @ X11))) => ? [X12 : a] : ((X0 @ X12 @ (X9 @ X12)) & (X0 @ (X9 @ X12) @ X12))))),
% 16.53/3.50 inference(rectify,[status(thm)],[f2])).
% 16.53/3.50 thf(f2,negated_conjecture,(
% 16.53/3.50 ~! [X0 : a > a > $o,X1 : (a > $o) > a] : ((! [X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X4)) => (X0 @ X2 @ X4)) & ! [X5 : a > $o] : (! [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))) => ? [X9 : a] : ((X0 @ X9 @ (X8 @ X9)) & (X0 @ (X8 @ X9) @ X9))))),
% 16.53/3.50 inference(negated_conjecture,[status(cth)],[f1])).
% 16.53/3.50 thf(f1,conjecture,(
% 16.53/3.50 ! [X0 : a > a > $o,X1 : (a > $o) > a] : ((! [X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X4)) => (X0 @ X2 @ X4)) & ! [X5 : a > $o] : (! [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))) => ? [X9 : a] : ((X0 @ X9 @ (X8 @ X9)) & (X0 @ (X8 @ X9) @ X9))))),
% 16.53/3.50 file('/export/starexec/sandbox2/tmp/tmp.KFrDPM8vPH/DTF2THF_7707.p',cTHM145L_pme)).
% 16.53/3.50 thf(f493,plain,(
% 16.53/3.50 ~spl0_2),
% 16.53/3.50 inference(avatar_contradiction_clause,[status(thm)],[f492])).
% 16.53/3.50 thf(f492,plain,(
% 16.53/3.50 $false | ~spl0_2),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f491])).
% 16.53/3.50 thf(f491,plain,(
% 16.53/3.50 ($true = $false) | ~spl0_2),
% 16.53/3.50 inference(backward_demodulation,[status(thm)],[f466,f490])).
% 16.53/3.50 thf(f490,plain,(
% 16.53/3.50 ((sK3 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) @ (sK4 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))))) = $false) | ~spl0_2),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f489])).
% 16.53/3.50 thf(f489,plain,(
% 16.53/3.50 (((^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) = $false) | ~spl0_2),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f483])).
% 16.53/3.50 thf(f483,plain,(
% 16.53/3.50 ($true = $false) | (((^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) = $false) | ~spl0_2),
% 16.53/3.50 inference(superposition,[status(thm)],[f42,f478])).
% 16.53/3.50 thf(f478,plain,(
% 16.53/3.50 ((sK3 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))) = $false) | ~spl0_2),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f473])).
% 16.53/3.50 thf(f473,plain,(
% 16.53/3.50 ((sK3 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))) = $false) | ($true = $false) | ~spl0_2),
% 16.53/3.50 inference(superposition,[status(thm)],[f472,f22])).
% 16.53/3.50 thf(f472,plain,(
% 16.53/3.50 ($false = (sK3 @ (sK4 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_2),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f471])).
% 16.53/3.50 thf(f471,plain,(
% 16.53/3.50 ($true = $false) | ($false = (sK3 @ (sK4 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_2),
% 16.53/3.50 inference(forward_demodulation,[status(thm)],[f470,f455])).
% 16.53/3.50 thf(f455,plain,(
% 16.53/3.50 ((sK3 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) = $false) | ~spl0_2),
% 16.53/3.50 inference(avatar_component_clause,[status(thm)],[f453])).
% 16.53/3.50 thf(f470,plain,(
% 16.53/3.50 ($true = (sK3 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) | ($false = (sK3 @ (sK4 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_2),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f467])).
% 16.53/3.50 thf(f467,plain,(
% 16.53/3.50 ($true = (sK3 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) | ($true = $false) | ($false = (sK3 @ (sK4 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) | ~spl0_2),
% 16.53/3.50 inference(superposition,[status(thm)],[f466,f93])).
% 16.53/3.50 thf(f93,plain,(
% 16.53/3.50 ( ! [X2 : a,X0 : a > $o,X1 : a] : (($false = (sK3 @ (sK5 @ X0 @ X1) @ X2)) | ($true = (sK3 @ (sK2 @ X0) @ X1)) | ((sK3 @ X2 @ X1) = $false)) )),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f88])).
% 16.53/3.50 thf(f88,plain,(
% 16.53/3.50 ( ! [X2 : a,X0 : a > $o,X1 : a] : (($true = (sK3 @ (sK2 @ X0) @ X1)) | ($true = $false) | ((sK3 @ X2 @ X1) = $false) | ($false = (sK3 @ (sK5 @ X0 @ X1) @ X2))) )),
% 16.53/3.50 inference(superposition,[status(thm)],[f35,f48])).
% 16.53/3.50 thf(f48,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : (((sK3 @ (sK5 @ X1 @ X2) @ X2) = $false) | ($true = (sK3 @ (sK2 @ X1) @ X2))) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 16.53/3.50 thf(f47,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : (($false = ((X1 @ (sK5 @ X1 @ X2)) => (sK3 @ (sK5 @ X1 @ X2) @ X2))) | ($true = (sK3 @ (sK2 @ X1) @ X2))) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f46])).
% 16.53/3.50 thf(f46,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : ((((^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0 @ X2))) @ (sK5 @ X1 @ X2)) = $false) | ($true = (sK3 @ (sK2 @ X1) @ X2))) )),
% 16.53/3.50 inference(sigma_clausification,[status(thm)],[f45])).
% 16.53/3.50 thf(f45,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0 @ X2)))) = $false) | ($true = (sK3 @ (sK2 @ X1) @ X2))) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f44])).
% 16.53/3.50 thf(f44,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : (($true = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0 @ X2)))) => (sK3 @ (sK2 @ X1) @ X2)))) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f43])).
% 16.53/3.50 thf(f43,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : (($true = ((^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK3 @ Y1 @ Y0)))) => (sK3 @ (sK2 @ X1) @ Y0))) @ X2))) )),
% 16.53/3.50 inference(pi_clausification,[status(thm)],[f39])).
% 16.53/3.50 thf(f39,plain,(
% 16.53/3.50 ( ! [X1 : a > $o] : (($true = (!! @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK3 @ Y1 @ Y0)))) => (sK3 @ (sK2 @ X1) @ Y0)))))) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 16.53/3.50 thf(f37,plain,(
% 16.53/3.50 ( ! [X1 : a > $o] : (($true = ((!! @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK3 @ Y1 @ Y0)))) => (sK3 @ (sK2 @ X1) @ Y0)))) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0 @ (sK2 @ X1)))))))) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f36])).
% 16.53/3.50 thf(f36,plain,(
% 16.53/3.50 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK3 @ Y2 @ Y1)))) => (sK3 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1 @ (sK2 @ Y0))))))) @ X1))) )),
% 16.53/3.50 inference(pi_clausification,[status(thm)],[f27])).
% 16.53/3.50 thf(f27,plain,(
% 16.53/3.50 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK3 @ Y2 @ Y1)))) => (sK3 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1 @ (sK2 @ Y0)))))))))),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f13])).
% 16.53/3.50 thf(f13,plain,(
% 16.53/3.50 ($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK3 @ Y2 @ Y1)))) => (sK3 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1 @ (sK2 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y0) & (sK3 @ Y2 @ Y1)) => (sK3 @ Y2 @ Y0))))))))))),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f11])).
% 16.53/3.50 thf(f35,plain,(
% 16.53/3.50 ( ! [X2 : a,X3 : a,X1 : a] : (($true = (sK3 @ X3 @ X1)) | ((sK3 @ X2 @ X1) = $false) | ((sK3 @ X3 @ X2) = $false)) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f34])).
% 16.53/3.50 thf(f34,plain,(
% 16.53/3.50 ( ! [X2 : a,X3 : a,X1 : a] : ((((sK3 @ X2 @ X1) & (sK3 @ X3 @ X2)) = $false) | ($true = (sK3 @ X3 @ X1))) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 16.53/3.50 thf(f33,plain,(
% 16.53/3.50 ( ! [X2 : a,X3 : a,X1 : a] : (($true = (((sK3 @ X2 @ X1) & (sK3 @ X3 @ X2)) => (sK3 @ X3 @ X1)))) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f32])).
% 16.53/3.50 thf(f32,plain,(
% 16.53/3.50 ( ! [X2 : a,X3 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK3 @ X2 @ X1) & (sK3 @ Y0 @ X2)) => (sK3 @ Y0 @ X1))) @ X3))) )),
% 16.53/3.50 inference(pi_clausification,[status(thm)],[f31])).
% 16.53/3.50 thf(f31,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (((sK3 @ X2 @ X1) & (sK3 @ Y0 @ X2)) => (sK3 @ Y0 @ X1)))))) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f30])).
% 16.53/3.50 thf(f30,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ X1) & (sK3 @ Y1 @ Y0)) => (sK3 @ Y1 @ X1))))) @ X2))) )),
% 16.53/3.50 inference(pi_clausification,[status(thm)],[f29])).
% 16.53/3.50 thf(f29,plain,(
% 16.53/3.50 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK3 @ Y0 @ X1) & (sK3 @ Y1 @ Y0)) => (sK3 @ Y1 @ X1)))))))) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f28])).
% 16.53/3.50 thf(f28,plain,(
% 16.53/3.50 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y0) & (sK3 @ Y2 @ Y1)) => (sK3 @ Y2 @ Y0))))))) @ X1))) )),
% 16.53/3.50 inference(pi_clausification,[status(thm)],[f26])).
% 16.53/3.50 thf(f26,plain,(
% 16.53/3.50 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK3 @ Y1 @ Y0) & (sK3 @ Y2 @ Y1)) => (sK3 @ Y2 @ Y0)))))))))),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f13])).
% 16.53/3.50 thf(f42,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : (($true = (sK3 @ X2 @ (sK2 @ X1))) | ((X1 @ X2) = $false)) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 16.53/3.50 thf(f41,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : (($true = ((X1 @ X2) => (sK3 @ X2 @ (sK2 @ X1))))) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f40])).
% 16.53/3.50 thf(f40,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : (($true = ((^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0 @ (sK2 @ X1)))) @ X2))) )),
% 16.53/3.50 inference(pi_clausification,[status(thm)],[f38])).
% 16.53/3.50 thf(f38,plain,(
% 16.53/3.50 ( ! [X1 : a > $o] : (($true = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0 @ (sK2 @ X1))))))) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 16.53/3.50 thf(f466,plain,(
% 16.53/3.50 ($true = (sK3 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) @ (sK4 @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))))) | ~spl0_2),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f465])).
% 16.53/3.50 thf(f465,plain,(
% 16.53/3.50 ($true = ((^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))))) | ~spl0_2),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f457])).
% 16.53/3.50 thf(f457,plain,(
% 16.53/3.50 ($true = ((^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK5 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))))) | ($true = $false) | ~spl0_2),
% 16.53/3.50 inference(superposition,[status(thm)],[f455,f49])).
% 16.53/3.50 thf(f49,plain,(
% 16.53/3.50 ( ! [X2 : a,X1 : a > $o] : (($true = (sK3 @ (sK2 @ X1) @ X2)) | ($true = (X1 @ (sK5 @ X1 @ X2)))) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 16.53/3.50 thf(f456,plain,(
% 16.53/3.50 spl0_1 | spl0_2),
% 16.53/3.50 inference(avatar_split_clause,[status(thm)],[f439,f453,f449])).
% 16.53/3.50 thf(f439,plain,(
% 16.53/3.50 ((sK3 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0)))))) = $false) | ((sK3 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))) @ (sK4 @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ Y0 @ (sK4 @ Y0))))))) = $false)),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f438])).
% 16.53/3.50 thf(f438,plain,(
% 16.53/3.50 (((^[Y0 : a]: (sK3 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK4 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK4 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0)))))) = $false) | (((^[Y0 : a]: (sK3 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK4 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))) @ (sK2 @ (^[Y0 : a]: (sK3 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK4 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))))) = $false)),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f429])).
% 16.53/3.50 thf(f429,plain,(
% 16.53/3.50 ($false != $false) | (((^[Y0 : a]: (sK3 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK4 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))) @ (sK2 @ (^[Y0 : a]: (sK3 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK4 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))))) = $false) | (((^[Y0 : a]: (sK3 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK4 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))) @ (sK4 @ (sK2 @ (^[Y0 : a]: (sK3 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK4 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0)))))) = $false)),
% 16.53/3.50 inference(equality_factoring,[status(thm)],[f155])).
% 16.53/3.50 thf(f155,plain,(
% 16.53/3.50 ( ! [X0 : a > $o,X1 : a > $o] : (($false = (sK3 @ (sK2 @ X1) @ (sK4 @ (sK2 @ X1)))) | ((X0 @ (sK4 @ (sK2 @ X1))) = $false) | ((X1 @ (sK2 @ X0)) = $false)) )),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f141])).
% 16.53/3.50 thf(f141,plain,(
% 16.53/3.50 ( ! [X0 : a > $o,X1 : a > $o] : (($true = $false) | ($false = (sK3 @ (sK2 @ X1) @ (sK4 @ (sK2 @ X1)))) | ((X0 @ (sK4 @ (sK2 @ X1))) = $false) | ((X1 @ (sK2 @ X0)) = $false)) )),
% 16.53/3.50 inference(superposition,[status(thm)],[f81,f42])).
% 16.53/3.50 thf(f81,plain,(
% 16.53/3.50 ( ! [X0 : a,X1 : a > $o] : (((sK3 @ (sK2 @ X1) @ X0) = $false) | ((X1 @ (sK4 @ X0)) = $false) | ((sK3 @ X0 @ (sK4 @ X0)) = $false)) )),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f78])).
% 16.53/3.50 thf(f78,plain,(
% 16.53/3.50 ( ! [X0 : a,X1 : a > $o] : (((sK3 @ X0 @ (sK4 @ X0)) = $false) | ($true = $false) | ((X1 @ (sK4 @ X0)) = $false) | ((sK3 @ (sK2 @ X1) @ X0) = $false)) )),
% 16.53/3.50 inference(superposition,[status(thm)],[f42,f65])).
% 16.53/3.50 thf(f65,plain,(
% 16.53/3.50 ( ! [X0 : a,X1 : a] : (($false = (sK3 @ (sK4 @ X0) @ X1)) | ((sK3 @ X0 @ (sK4 @ X0)) = $false) | ((sK3 @ X1 @ X0) = $false)) )),
% 16.53/3.50 inference(trivial_inequality_removal,[status(thm)],[f60])).
% 16.53/3.50 thf(f60,plain,(
% 16.53/3.50 ( ! [X0 : a,X1 : a] : (((sK3 @ X1 @ X0) = $false) | ($true = $false) | ($false = (sK3 @ (sK4 @ X0) @ X1)) | ((sK3 @ X0 @ (sK4 @ X0)) = $false)) )),
% 16.53/3.50 inference(superposition,[status(thm)],[f35,f25])).
% 16.53/3.50 thf(f25,plain,(
% 16.53/3.50 ( ! [X1 : a] : (($false = (sK3 @ (sK4 @ X1) @ X1)) | ((sK3 @ X1 @ (sK4 @ X1)) = $false)) )),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f24])).
% 16.53/3.50 thf(f24,plain,(
% 16.53/3.50 ( ! [X1 : a] : ((((sK3 @ (sK4 @ X1) @ X1) & (sK3 @ X1 @ (sK4 @ X1))) = $false)) )),
% 16.53/3.50 inference(beta_eta_normalization,[status(thm)],[f23])).
% 16.53/3.50 thf(f23,plain,(
% 16.53/3.50 ( ! [X1 : a] : ((((^[Y0 : a]: ((sK3 @ (sK4 @ Y0) @ Y0) & (sK3 @ Y0 @ (sK4 @ Y0)))) @ X1) = $false)) )),
% 16.53/3.50 inference(pi_clausification,[status(thm)],[f16])).
% 16.53/3.50 thf(f16,plain,(
% 16.53/3.50 ((?? @ a @ (^[Y0 : a]: ((sK3 @ (sK4 @ Y0) @ Y0) & (sK3 @ Y0 @ (sK4 @ Y0))))) = $false)),
% 16.53/3.50 inference(binary_proxy_clausification,[status(thm)],[f15])).
% 16.53/3.50 % SZS output end Proof for DTF2THF_7707
% 16.53/3.50 % (8327)------------------------------
% 16.53/3.50 % (8327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.53/3.50 % (8327)Termination reason: Refutation
% 16.53/3.50
% 16.53/3.50 % (8327)Memory used [KB]: 11001
% 16.53/3.50 % (8327)Time elapsed: 0.078 s
% 16.53/3.50 % (8327)Instructions burned: 221 (million)
% 16.53/3.50 % (8327)------------------------------
% 16.53/3.50 % (8327)------------------------------
% 16.53/3.50 % (7870)Success in time 2.235 s
%------------------------------------------------------------------------------