%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV246^6 : TPTP v9.2.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 09:40:40 AM UTC 2026
% Result : Theorem 28.45s 5.06s
% Output : Refutation 28.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 1
% Syntax : Number of formulae : 82 ( 56 unt; 0 typ; 0 def)
% Number of atoms : 686 ( 104 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 1329 ( 9 ~; 26 |; 61 &; 899 @)
% ( 0 <=>; 166 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 155 ( 155 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 12 usr; 7 con; 0-2 aty)
% ( 122 !!; 46 ??; 0 @@+; 0 @@-)
% Number of variables : 264 ( 207 ^; 51 !; 6 ?; 264 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cK: ( a > $o ) > a > $o ).
thf(func_def_14,type,
sP0: $o > $o ).
thf(func_def_16,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK3: a ).
thf(func_def_18,type,
sK4: ( a > $o ) > a ).
thf(func_def_19,type,
sK5: a ).
thf(func_def_20,type,
sK6: a > $o ).
thf(func_def_21,type,
sK7: ( a > $o ) > a ).
thf(func_def_22,type,
sK8: ( a > $o ) > a ).
thf(func_def_23,type,
sK9: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_24,type,
sK10: a ).
thf(func_def_25,type,
sK11: a > $o ).
thf(f2976,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f2975]) ).
thf(f2975,plain,
$true = $false,
inference(backward_demodulation,[status(thm)],[f477,f2974]) ).
thf(f2974,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f2973]) ).
thf(f2973,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 ) ) ) )
| ( $true = $false ) ),
inference(forward_demodulation,[status(thm)],[f2970,f2422]) ).
thf(f2422,plain,
( $true
= ( cK @ ( cK @ sK6 ) @ sK10 ) ),
inference(boolean_simplification,[status(thm)],[f2418]) ).
thf(f2418,plain,
( $true
= ( $true
=> ( cK @ ( cK @ sK6 ) @ sK10 ) ) ),
inference(superposition,[status(thm)],[f370,f2307]) ).
thf(f2307,plain,
( $true
= ( cK @ sK6 @ sK10 ) ),
inference(boolean_simplification,[status(thm)],[f2306]) ).
thf(f2306,plain,
( $true
= ( $true
=> ( cK @ sK6 @ sK10 ) ) ),
inference(superposition,[status(thm)],[f228,f2279]) ).
thf(f2279,plain,
( $true
= ( sK6 @ sK10 ) ),
inference(binary_proxy_clausification,[status(thm)],[f2277]) ).
thf(f2277,plain,
( ( ( sK6 @ sK10 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK10 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f2274]) ).
thf(f2274,plain,
( ( ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
@ sK10 )
= $false ),
inference(sigma_clausification,[status(thm)],[f2273]) ).
thf(f2273,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f2272]) ).
thf(f2272,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ( $true = $false ) ),
inference(forward_demodulation,[status(thm)],[f2271,f180]) ).
thf(f180,plain,
( $true
= ( sK6 @ sK5 ) ),
inference(binary_proxy_clausification,[status(thm)],[f169]) ).
thf(f169,plain,
( $true
= ( ( sK6 @ sK5 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f167]) ).
thf(f167,plain,
( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK5 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ sK6 ) ),
inference(sigma_clausification,[status(thm)],[f147]) ).
thf(f147,plain,
( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK5 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f144]) ).
thf(f144,plain,
( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK5 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) )
=> ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK5 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f142]) ).
thf(f142,plain,
( $false
= ( ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) )
@ sK5 ) ),
inference(sigma_clausification,[status(thm)],[f126]) ).
thf(f126,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f125]) ).
thf(f125,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f112]) ).
thf(f112,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) )
= $false )
| ( $true = $false ) ),
inference(superposition,[status(thm)],[f93,f38]) ).
thf(f38,plain,
! [X2: a > $o,X1: a > $o] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f35]) ).
thf(f35,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ X1 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
! [X1: a > $o] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ X1 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f24]) ).
thf(f24,plain,
( $true
= ( ~ ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f23]) ).
thf(f23,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> $false ) ) ),
inference(backward_demodulation,[status(thm)],[f6,f22]) ).
thf(f22,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f21]) ).
thf(f21,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) )
| ( $true = $false ) ),
inference(boolean_simplification,[status(thm)],[f20]) ).
thf(f20,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) )
| ( $true = ( ~ $true ) ) ),
inference(boolean_simplification,[status(thm)],[f14]) ).
thf(f14,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) )
| ( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> $true ) ) ) ),
inference(fool_paramodulation,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) )
=> ! [X3: a] :
( ( cK @ X1 @ X3 )
=> ( cK @ X0 @ X3 ) ) )
=> ! [X4: a] :
( ( cK
@ ^ [X5: a] :
? [X6: a > $o] :
( ! [X7: a] :
( ( X6 @ X7 )
=> ( cK @ X6 @ X7 ) )
& ( X6 @ X5 ) )
@ X4 )
=> ? [X8: a > $o] :
( ( X8 @ X4 )
& ! [X9: a] :
( ( X8 @ X9 )
=> ( cK @ X8 @ X9 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X0 @ X2 )
=> ( cK @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ( cK
@ ^ [X3: a] :
? [X4: a > $o] :
( ! [X5: a] :
( ( X4 @ X5 )
=> ( cK @ X4 @ X5 ) )
& ( X4 @ X3 ) )
@ X2 )
=> ? [X4: a > $o] :
( ( X4 @ X2 )
& ! [X3: a] :
( ( X4 @ X3 )
=> ( cK @ X4 @ X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X0 @ X2 )
=> ( cK @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ( cK
@ ^ [X3: a] :
? [X4: a > $o] :
( ! [X5: a] :
( ( X4 @ X5 )
=> ( cK @ X4 @ X5 ) )
& ( X4 @ X3 ) )
@ X2 )
=> ? [X4: a > $o] :
( ( X4 @ X2 )
& ! [X3: a] :
( ( X4 @ X3 )
=> ( cK @ X4 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.oquwvPPY11/DTF2THF_32676.p',cTHM116_1S) ).
thf(f93,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) )
@ Y0 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f90]) ).
thf(f90,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) )
@ Y0 ) ) )
& $true )
= $false ),
inference(superposition,[status(thm)],[f71,f49]) ).
thf(f49,plain,
( $true
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
( ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f44]) ).
thf(f44,plain,
( ( ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[status(thm)],[f22]) ).
thf(f71,plain,
! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) )
& ( X1 @ sK3 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f68]) ).
thf(f68,plain,
! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f58]) ).
thf(f58,plain,
( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f57]) ).
thf(f57,plain,
( ( $true
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) )
= $false ),
inference(backward_demodulation,[status(thm)],[f47,f49]) ).
thf(f2271,plain,
( ( ( sK6 @ sK5 )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f2270]) ).
thf(f2270,plain,
( ( ( sK6 @ sK5 )
= $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f2156]) ).
thf(f2156,plain,
( ( $true = $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
| ( ( sK6 @ sK5 )
= $false ) ),
inference(superposition,[status(thm)],[f294,f156]) ).
thf(f156,plain,
( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK5 )
= $false ),
inference(boolean_simplification,[status(thm)],[f155]) ).
thf(f155,plain,
( $false
= ( $true
=> ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK5 ) ) ),
inference(backward_demodulation,[status(thm)],[f144,f147]) ).
thf(f294,plain,
! [X0: a,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false )
| ( $true
= ( cK @ X1 @ X0 ) )
| ( $false
= ( sK6 @ X0 ) ) ),
inference(boolean_simplification,[status(thm)],[f277]) ).
thf(f277,plain,
! [X0: a,X1: a > $o] :
( ( $false
= ( sK6 @ X0 ) )
| ( ( $true
=> ( cK @ X1 @ X0 ) )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false ) ),
inference(superposition,[status(thm)],[f66,f249]) ).
thf(f249,plain,
! [X1: a] :
( ( $true
= ( cK @ sK6 @ X1 ) )
| ( ( sK6 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f228]) ).
thf(f66,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( ( cK @ X1 @ X3 )
=> ( cK @ X2 @ X3 ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f61]) ).
thf(f61,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) ) )
| ( $true
= ( ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_clausification,[status(thm)],[f38]) ).
thf(f228,plain,
! [X1: a] :
( $true
= ( ( sK6 @ X1 )
=> ( cK @ sK6 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f220]) ).
thf(f220,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( cK @ sK6 @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f192]) ).
thf(f192,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f189]) ).
thf(f189,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) )
| ( $true = $false ) ),
inference(backward_demodulation,[status(thm)],[f188,f180]) ).
thf(f188,plain,
( ( ( sK6 @ sK5 )
= $false )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f181]) ).
thf(f181,plain,
( ( $true
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) ) )
| ( ( sK6 @ sK5 )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f169]) ).
thf(f370,plain,
! [X1: a] :
( $true
= ( ( cK @ sK6 @ X1 )
=> ( cK @ ( cK @ sK6 ) @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f360]) ).
thf(f360,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cK @ sK6 @ Y0 )
=> ( cK @ ( cK @ sK6 ) @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f229]) ).
thf(f229,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK6 @ Y0 )
=> ( cK @ ( cK @ sK6 ) @ Y0 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f224]) ).
thf(f224,plain,
( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK6 @ Y0 )
=> ( cK @ ( cK @ sK6 ) @ Y0 ) ) ) ) ),
inference(superposition,[status(thm)],[f37,f192]) ).
thf(f2970,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 ) ) ) )
| ( $false
= ( cK @ ( cK @ sK6 ) @ sK10 ) ) ),
inference(boolean_simplification,[status(thm)],[f2916]) ).
thf(f2916,plain,
( ( $false
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 ) ) ) ) )
| ( $false
= ( cK @ ( cK @ sK6 ) @ sK10 ) ) ),
inference(superposition,[status(thm)],[f2873,f518]) ).
thf(f518,plain,
! [X1: a] :
( ( $true
= ( cK @ ( cK @ ( cK @ sK6 ) ) @ X1 ) )
| ( ( cK @ ( cK @ sK6 ) @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f476]) ).
thf(f476,plain,
! [X1: a] :
( $true
= ( ( cK @ ( cK @ sK6 ) @ X1 )
=> ( cK @ ( cK @ ( cK @ sK6 ) ) @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f462]) ).
thf(f462,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f373]) ).
thf(f373,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f364]) ).
thf(f364,plain,
( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 ) ) ) ) ),
inference(superposition,[status(thm)],[f37,f229]) ).
thf(f2873,plain,
! [X1: a > $o] :
( $false
= ( ( X1 @ sK10 )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f2870]) ).
thf(f2870,plain,
! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK10 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f2284]) ).
thf(f2284,plain,
( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK10 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f2283]) ).
thf(f2283,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK10 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
| ( $true = $false ) ),
inference(boolean_simplification,[status(thm)],[f2281]) ).
thf(f2281,plain,
( ( $false
= ( ( sK6 @ sK10 )
=> $true ) )
| ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK10 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_paramodulation,[status(thm)],[f2277]) ).
thf(f477,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f466]) ).
thf(f466,plain,
( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 ) ) ) ) ),
inference(superposition,[status(thm)],[f37,f373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV246^6 : TPTP v9.2.1. Released v5.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.31 % Computer : n016.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Feb 24 12:43:06 EST 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.31 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.41 ---- Original DTF file ---
% 0.18/0.41 thf(spec,logic,$$dhol).
% 0.18/0.41 %------------------------------------------------------------------------------
% 0.18/0.41 % File : SEV246^6 : TPTP v9.2.1. Released v5.1.0.
% 0.18/0.41 % Domain : Set Theory
% 0.18/0.41 % Problem : TPS problem from BASIC-HO-THMS
% 0.18/0.41 % Version : Especial.
% 0.18/0.41 % English :
% 0.18/0.41
% 0.18/0.41 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.41 % Source : [Bro09]
% 0.18/0.41 % Names : tps_0960 [Bro09]
% 0.18/0.41 % : tps_0965 [Bro09]
% 0.18/0.41
% 0.18/0.41 % Status : Theorem
% 0.18/0.41 % Rating : 0.25 v9.0.0, 0.50 v8.2.0, 0.45 v8.1.0, 0.58 v7.4.0, 0.56 v7.3.0, 0.60 v7.2.0, 0.62 v7.1.0, 0.57 v7.0.0, 0.50 v6.4.0, 0.57 v6.3.0, 0.67 v6.0.0, 0.50 v5.5.0, 0.60 v5.4.0, 0.75 v5.2.0, 1.00 v5.1.0
% 0.18/0.41 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.18/0.41 % Number of atoms : 5 ( 0 equ; 0 cnn)
% 0.18/0.41 % Maximal formula atoms : 5 ( 5 avg)
% 0.18/0.41 % Number of connectives : 25 ( 0 ~; 0 |; 2 &; 16 @)
% 0.18/0.41 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.18/0.41 % Maximal formula depth : 13 ( 13 avg)
% 0.18/0.41 % Number of types : 2 ( 1 usr)
% 0.18/0.41 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.18/0.41 % Number of symbols : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.18/0.41 % Number of variables : 10 ( 1 ^; 7 !; 2 ?; 10 :)
% 0.18/0.41 % SPC : TH0_THM_NEQ_NAR
% 0.18/0.41
% 0.18/0.41 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.41 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.41 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.41 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.41 % : Renamed from SYO320^5
% 0.18/0.41 %------------------------------------------------------------------------------
% 0.18/0.41 thf(a_type,type,
% 0.18/0.41 a: $tType ).
% 0.18/0.41
% 0.18/0.41 thf(cK,type,
% 0.18/0.41 cK: ( a > $o ) > a > $o ).
% 0.18/0.41
% 0.18/0.41 thf(cTHM116_1S,conjecture,
% 0.18/0.41 ( ! [X: a > $o,Y: a > $o] :
% 0.18/0.41 ( ! [Xx: a] :
% 0.18/0.41 ( ( X @ Xx )
% 0.18/0.41 => ( Y @ Xx ) )
% 0.18/0.41 => ! [Xx: a] :
% 0.18/0.41 ( ( cK @ X @ Xx )
% 0.18/0.41 => ( cK @ Y @ Xx ) ) )
% 0.18/0.41 => ! [Xx: a] :
% 0.18/0.41 ( ( cK
% 0.18/0.41 @ ^ [Xx0: a] :
% 0.18/0.41 ? [S: a > $o] :
% 0.18/0.41 ( ! [Xx1: a] :
% 0.18/0.41 ( ( S @ Xx1 )
% 0.18/0.41 => ( cK @ S @ Xx1 ) )
% 0.18/0.41 & ( S @ Xx0 ) )
% 0.18/0.41 @ Xx )
% 0.18/0.41 => ? [S: a > $o] :
% 0.18/0.41 ( ! [Xx0: a] :
% 0.18/0.41 ( ( S @ Xx0 )
% 0.18/0.41 => ( cK @ S @ Xx0 ) )
% 0.18/0.41 & ( S @ Xx ) ) ) ) ).
% 0.18/0.41
% 0.18/0.41 %------------------------------------------------------------------------------
% 0.18/0.41 ------------------------
% 1.25/1.03 ---- Embedded in THF ---
% 1.25/1.03 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.25/1.03 %%% Generated on Tue Feb 24 12:43:06 EST 2026
% 1.25/1.03 %%% using '$$dhol' embedding, version 1.3.0.
% 1.25/1.03 %%% Logic specification used:
% 1.25/1.03 %%% thf(spec, logic, $$dhol).
% 1.25/1.03
% 1.25/1.03 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.oquwvPPY11/DTF2DTF32676.p
% See solution above
% 1.25/1.03 ------------------------
% 1.25/1.04 ---- Cleaned THF ---
% 1.25/1.04 thf(a_type,type,
% 1.25/1.04 a: $tType ).
% 1.25/1.04
% 1.25/1.04 thf(cK,type,
% 1.25/1.04 cK: ( a > $o ) > a > $o ).
% 1.25/1.04
% 1.25/1.04 thf(cTHM116_1S,conjecture,
% 1.25/1.04 ( ! [X: a > $o,Y: a > $o] :
% 1.25/1.04 ( ! [Xx: a] :
% 1.25/1.04 ( ( X @ Xx )
% 1.25/1.04 => ( Y @ Xx ) )
% 1.25/1.04 => ! [Xx: a] :
% 1.25/1.04 ( ( cK @ X @ Xx )
% 1.25/1.04 => ( cK @ Y @ Xx ) ) )
% 1.25/1.04 => ! [Xx: a] :
% 1.25/1.04 ( ( cK
% 1.25/1.04 @ ^ [Xx0: a] :
% 1.25/1.04 ? [S: a > $o] :
% 1.25/1.04 ( ! [Xx1: a] :
% 1.25/1.04 ( ( S @ Xx1 )
% 1.25/1.04 => ( cK @ S @ Xx1 ) )
% 1.25/1.04 & ( S @ Xx0 ) )
% 1.25/1.04 @ Xx )
% 1.25/1.04 => ? [S: a > $o] :
% 1.25/1.04 ( ! [Xx0: a] :
% 1.25/1.04 ( ( S @ Xx0 )
% 1.25/1.04 => ( cK @ S @ Xx0 ) )
% 1.25/1.04 & ( S @ Xx ) ) ) ) ).
% 1.25/1.04 ------------------------
% 1.25/1.05 % (306)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_32676 for (3000ds/183Mi)
% 1.25/1.06 % (307)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_32676 for (3000ds/4Mi)
% 1.25/1.06 % (308)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_32676 for (3000ds/27Mi)
% 1.25/1.06 % (309)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_32676 for (3000ds/2Mi)
% 1.25/1.06 % (310)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_32676 for (3000ds/2Mi)
% 1.25/1.06 % (311)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_32676 for (3000ds/275Mi)
% 1.25/1.06 % (312)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_32676 for (3000ds/18Mi)
% 1.25/1.06 % (309)Instruction limit reached!
% 1.25/1.06 % (309)------------------------------
% 1.25/1.06 % (309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.06 % (309)Termination reason: Unknown
% 1.25/1.06 % (309)Termination phase: Preprocessing 3
% 1.25/1.06
% 1.25/1.06 % (309)Memory used [KB]: 895
% 1.25/1.06 % (309)Time elapsed: 0.002 s
% 1.25/1.06 % (309)Instructions burned: 2 (million)
% 1.25/1.06 % (309)------------------------------
% 1.25/1.06 % (309)------------------------------
% 1.25/1.06 % (310)Instruction limit reached!
% 1.25/1.06 % (310)------------------------------
% 1.25/1.06 % (310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.06 % (310)Termination reason: Unknown
% 1.25/1.06 % (310)Termination phase: Property scanning
% 1.25/1.06
% 1.25/1.06 % (310)Memory used [KB]: 895
% 1.25/1.06 % (310)Time elapsed: 0.002 s
% 1.25/1.06 % (310)Instructions burned: 2 (million)
% 1.25/1.06 % (310)------------------------------
% 1.25/1.06 % (310)------------------------------
% 1.25/1.06 % (307)Instruction limit reached!
% 1.25/1.06 % (307)------------------------------
% 1.25/1.06 % (307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.06 % (307)Termination reason: Unknown
% 1.25/1.06 % (307)Termination phase: Saturation
% 1.25/1.06
% 1.25/1.06 % (307)Memory used [KB]: 5500
% 1.25/1.06 % (307)Time elapsed: 0.004 s
% 1.25/1.06 % (307)Instructions burned: 5 (million)
% 1.25/1.06 % (307)------------------------------
% 1.25/1.06 % (307)------------------------------
% 1.25/1.07 % (312)Instruction limit reached!
% 1.25/1.07 % (312)------------------------------
% 1.25/1.07 % (312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.07 % (312)Termination reason: Unknown
% 1.25/1.07 % (312)Termination phase: Saturation
% 1.25/1.07
% 1.25/1.07 % (312)Memory used [KB]: 5628
% 1.25/1.07 % (312)Time elapsed: 0.011 s
% 1.25/1.07 % (312)Instructions burned: 18 (million)
% 1.25/1.07 % (312)------------------------------
% 1.25/1.07 % (312)------------------------------
% 1.25/1.07 % (308)Instruction limit reached!
% 1.25/1.07 % (308)------------------------------
% 1.25/1.07 % (308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.07 % (308)Termination reason: Unknown
% 1.25/1.07 % (308)Termination phase: Saturation
% 1.25/1.07
% 1.25/1.07 % (308)Memory used [KB]: 5628
% 1.25/1.07 % (308)Time elapsed: 0.015 s
% 1.25/1.07 % (308)Instructions burned: 28 (million)
% 1.25/1.07 % (308)------------------------------
% 1.25/1.07 % (308)------------------------------
% 1.25/1.07 % (313)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/3Mi)
% 1.25/1.07 % (314)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_32676 for (2999ds/37Mi)
% 1.25/1.07 % (313)Instruction limit reached!
% 1.25/1.07 % (313)------------------------------
% 1.25/1.07 % (313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.07 % (313)Termination reason: Unknown
% 1.25/1.07 % (313)Termination phase: Saturation
% 1.25/1.07
% 1.25/1.07 % (313)Memory used [KB]: 5500
% 1.25/1.07 % (313)Time elapsed: 0.003 s
% 1.25/1.07 % (313)Instructions burned: 3 (million)
% 1.25/1.07 % (313)------------------------------
% 1.25/1.07 % (313)------------------------------
% 1.25/1.08 % (316)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_32676 for (2999ds/3Mi)
% 1.25/1.08 % (316)Instruction limit reached!
% 1.25/1.08 % (316)------------------------------
% 1.25/1.08 % (316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.08 % (316)Termination reason: Unknown
% 1.25/1.08 % (316)Termination phase: Saturation
% 1.25/1.08
% 1.25/1.08 % (316)Memory used [KB]: 5500
% 1.25/1.08 % (316)Time elapsed: 0.003 s
% 1.25/1.08 % (316)Instructions burned: 3 (million)
% 1.25/1.08 % (316)------------------------------
% 1.25/1.08 % (316)------------------------------
% 1.25/1.09 % (317)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_32676 for (2999ds/1041Mi)
% 1.25/1.09 % (315)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_32676 for (2999ds/15Mi)
% 1.25/1.09 % (318)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/7Mi)
% 1.25/1.09 % (314)Instruction limit reached!
% 1.25/1.09 % (314)------------------------------
% 1.25/1.09 % (314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.09 % (314)Termination reason: Unknown
% 1.25/1.09 % (314)Termination phase: Saturation
% 1.25/1.09
% 1.25/1.09 % (314)Memory used [KB]: 6012
% 1.25/1.09 % (314)Time elapsed: 0.019 s
% 1.25/1.09 % (314)Instructions burned: 38 (million)
% 1.25/1.09 % (314)------------------------------
% 1.25/1.09 % (314)------------------------------
% 1.25/1.09 % (318)Instruction limit reached!
% 1.25/1.09 % (318)------------------------------
% 1.25/1.09 % (318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.09 % (318)Termination reason: Unknown
% 1.25/1.09 % (318)Termination phase: Saturation
% 1.25/1.09
% 1.25/1.09 % (318)Memory used [KB]: 1023
% 1.25/1.09 % (318)Time elapsed: 0.006 s
% 1.25/1.09 % (318)Instructions burned: 7 (million)
% 1.25/1.09 % (318)------------------------------
% 1.25/1.09 % (318)------------------------------
% 1.25/1.10 % (315)Instruction limit reached!
% 1.25/1.10 % (315)------------------------------
% 1.25/1.10 % (315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.10 % (315)Termination reason: Unknown
% 1.25/1.10 % (315)Termination phase: Saturation
% 1.25/1.10
% 1.25/1.10 % (315)Memory used [KB]: 5628
% 1.25/1.10 % (315)Time elapsed: 0.031 s
% 1.25/1.10 % (315)Instructions burned: 16 (million)
% 1.25/1.10 % (315)------------------------------
% 1.25/1.10 % (315)------------------------------
% 1.25/1.10 % (319)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/16Mi)
% 1.25/1.10 % (320)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_32676 for (2999ds/3Mi)
% 1.25/1.10 % (320)Instruction limit reached!
% 1.25/1.10 % (320)------------------------------
% 1.25/1.10 % (320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.10 % (320)Termination reason: Unknown
% 1.25/1.10 % (320)Termination phase: Saturation
% 1.25/1.10
% 1.25/1.10 % (320)Memory used [KB]: 5500
% 1.25/1.10 % (320)Time elapsed: 0.002 s
% 1.25/1.10 % (320)Instructions burned: 3 (million)
% 1.25/1.10 % (320)------------------------------
% 1.25/1.10 % (320)------------------------------
% 1.25/1.11 % (319)Instruction limit reached!
% 1.25/1.11 % (319)------------------------------
% 1.25/1.11 % (319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.11 % (319)Termination reason: Unknown
% 1.25/1.11 % (319)Termination phase: Saturation
% 1.25/1.11
% 1.25/1.11 % (319)Memory used [KB]: 5628
% 1.25/1.11 % (319)Time elapsed: 0.010 s
% 1.25/1.11 % (319)Instructions burned: 16 (million)
% 1.25/1.11 % (319)------------------------------
% 1.25/1.11 % (319)------------------------------
% 1.25/1.11 % (321)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_32676 for (2999ds/3Mi)
% 1.25/1.11 % (323)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/3Mi)
% 1.25/1.11 % (323)Instruction limit reached!
% 1.25/1.11 % (323)------------------------------
% 1.25/1.11 % (323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.11 % (323)Termination reason: Unknown
% 1.25/1.11 % (323)Termination phase: Saturation
% 1.25/1.11
% 1.25/1.11 % (323)Memory used [KB]: 5500
% 1.25/1.11 % (323)Time elapsed: 0.002 s
% 1.25/1.11 % (323)Instructions burned: 4 (million)
% 1.25/1.11 % (323)------------------------------
% 1.25/1.11 % (323)------------------------------
% 1.25/1.11 % (321)Instruction limit reached!
% 1.25/1.11 % (321)------------------------------
% 1.25/1.11 % (321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.11 % (321)Termination reason: Unknown
% 1.25/1.11 % (321)Termination phase: Saturation
% 1.25/1.11
% 1.25/1.11 % (321)Memory used [KB]: 1023
% 1.25/1.11 % (321)Time elapsed: 0.003 s
% 1.25/1.11 % (321)Instructions burned: 4 (million)
% 1.25/1.11 % (321)------------------------------
% 1.25/1.11 % (321)------------------------------
% 1.25/1.11 % (322)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/7Mi)
% 1.25/1.12 % (322)Instruction limit reached!
% 1.25/1.12 % (322)------------------------------
% 1.25/1.12 % (322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.12 % (322)Termination reason: Unknown
% 1.25/1.12 % (322)Termination phase: Saturation
% 1.25/1.12
% 1.25/1.12 % (322)Memory used [KB]: 5500
% 1.25/1.12 % (322)Time elapsed: 0.005 s
% 1.25/1.12 % (322)Instructions burned: 7 (million)
% 1.25/1.12 % (322)------------------------------
% 1.25/1.12 % (322)------------------------------
% 1.25/1.12 % (325)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/18Mi)
% 1.25/1.12 % (325)Refutation not found, incomplete strategy
% 1.25/1.12 % (325)------------------------------
% 1.25/1.12 % (325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.12 % (325)Termination reason: Refutation not found, incomplete strategy
% 1.25/1.12
% 1.25/1.12 % (306)Instruction limit reached!
% 1.25/1.12 % (306)------------------------------
% 1.25/1.12 % (306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.25/1.12
% 1.25/1.12 % (325)Memory used [KB]: 5500
% 1.25/1.12 % (325)Time elapsed: 0.002 s
% 1.25/1.12 % (325)Instructions burned: 3 (million)
% 1.25/1.12 % (325)------------------------------
% 1.25/1.12 % (325)------------------------------
% 1.25/1.12 % (306)Termination reason: Unknown
% 1.25/1.12 % (306)Termination phase: Saturation
% 1.25/1.12
% 1.25/1.12 % (306)Memory used [KB]: 6524
% 1.25/1.12 % (306)Time elapsed: 0.073 s
% 1.25/1.12 % (306)Instructions burned: 184 (million)
% 1.25/1.12 % (306)------------------------------
% 1.25/1.12 % (306)------------------------------
% 1.25/1.12 % (324)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/4Mi)
% 1.27/1.13 % (324)Instruction limit reached!
% 1.27/1.13 % (324)------------------------------
% 1.27/1.13 % (324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.13 % (324)Termination reason: Unknown
% 1.27/1.13 % (324)Termination phase: Saturation
% 1.27/1.13
% 1.27/1.13 % (324)Memory used [KB]: 5500
% 1.27/1.13 % (324)Time elapsed: 0.004 s
% 1.27/1.13 % (324)Instructions burned: 5 (million)
% 1.27/1.13 % (324)------------------------------
% 1.27/1.13 % (324)------------------------------
% 1.27/1.13 % (326)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/710Mi)
% 1.27/1.13 % (327)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/6Mi)
% 1.27/1.13 % (329)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_32676 for (2999ds/21Mi)
% 1.27/1.14 % (327)Instruction limit reached!
% 1.27/1.14 % (327)------------------------------
% 1.27/1.14 % (327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.14 % (327)Termination reason: Unknown
% 1.27/1.14 % (327)Termination phase: Saturation
% 1.27/1.14
% 1.27/1.14 % (327)Memory used [KB]: 5500
% 1.27/1.14 % (327)Time elapsed: 0.005 s
% 1.27/1.14 % (327)Instructions burned: 7 (million)
% 1.27/1.14 % (327)------------------------------
% 1.27/1.14 % (327)------------------------------
% 1.27/1.14 % (328)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_32676 for (2999ds/902Mi)
% 1.27/1.14 % (329)Instruction limit reached!
% 1.27/1.14 % (329)------------------------------
% 1.27/1.14 % (329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.14 % (329)Termination reason: Unknown
% 1.27/1.14 % (329)Termination phase: Saturation
% 1.27/1.14
% 1.27/1.14 % (329)Memory used [KB]: 5628
% 1.27/1.14 % (329)Time elapsed: 0.009 s
% 1.27/1.14 % (329)Instructions burned: 23 (million)
% 1.27/1.14 % (329)------------------------------
% 1.27/1.14 % (329)------------------------------
% 1.27/1.14 % (330)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/5Mi)
% 1.27/1.14 % (330)Instruction limit reached!
% 1.27/1.14 % (330)------------------------------
% 1.27/1.14 % (330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.14 % (330)Termination reason: Unknown
% 1.27/1.14 % (330)Termination phase: Saturation
% 1.27/1.14
% 1.27/1.14 % (330)Memory used [KB]: 5500
% 1.27/1.14 % (330)Time elapsed: 0.004 s
% 1.27/1.14 % (330)Instructions burned: 5 (million)
% 1.27/1.14 % (330)------------------------------
% 1.27/1.14 % (330)------------------------------
% 1.27/1.15 % (332)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_32676 for (2999ds/377Mi)
% 1.27/1.15 % (331)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_32676 for (2999ds/6Mi)
% 1.27/1.15 % (331)Instruction limit reached!
% 1.27/1.15 % (331)------------------------------
% 1.27/1.15 % (331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.15 % (331)Termination reason: Unknown
% 1.27/1.15 % (331)Termination phase: Saturation
% 1.27/1.15
% 1.27/1.15 % (331)Memory used [KB]: 5500
% 1.27/1.15 % (331)Time elapsed: 0.004 s
% 1.27/1.15 % (331)Instructions burned: 6 (million)
% 1.27/1.15 % (331)------------------------------
% 1.27/1.15 % (331)------------------------------
% 1.27/1.16 % (333)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_32676 for (2999ds/779Mi)
% 1.27/1.17 % (335)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_32676 for (2998ds/19Mi)
% 1.27/1.18 % (335)Instruction limit reached!
% 1.27/1.18 % (335)------------------------------
% 1.27/1.18 % (335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.18 % (335)Termination reason: Unknown
% 1.27/1.18 % (335)Termination phase: Saturation
% 1.27/1.18
% 1.27/1.18 % (335)Memory used [KB]: 5628
% 1.27/1.18 % (335)Time elapsed: 0.011 s
% 1.27/1.18 % (335)Instructions burned: 19 (million)
% 1.27/1.18 % (335)------------------------------
% 1.27/1.18 % (335)------------------------------
% 1.27/1.19 % (311)Instruction limit reached!
% 1.27/1.19 % (311)------------------------------
% 1.27/1.19 % (311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.19 % (311)Termination reason: Unknown
% 1.27/1.19 % (311)Termination phase: Saturation
% 1.27/1.19
% 1.27/1.19 % (311)Memory used [KB]: 6140
% 1.27/1.19 % (311)Time elapsed: 0.131 s
% 1.27/1.19 % (311)Instructions burned: 276 (million)
% 1.27/1.19 % (311)------------------------------
% 1.27/1.19 % (311)------------------------------
% 1.27/1.20 % (336)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_32676 for (2998ds/879Mi)
% 1.27/1.20 % (337)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_32676 for (2998ds/17Mi)
% 1.27/1.21 % (337)Instruction limit reached!
% 1.27/1.21 % (337)------------------------------
% 1.27/1.21 % (337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.21 % (337)Termination reason: Unknown
% 1.27/1.21 % (337)Termination phase: Saturation
% 1.27/1.21
% 1.27/1.21 % (337)Memory used [KB]: 5628
% 1.27/1.21 % (337)Time elapsed: 0.011 s
% 1.27/1.21 % (337)Instructions burned: 18 (million)
% 1.27/1.21 % (337)------------------------------
% 1.27/1.21 % (337)------------------------------
% 1.27/1.23 % (338)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_32676 for (2998ds/3Mi)
% 1.27/1.23 % (338)Instruction limit reached!
% 1.27/1.23 % (338)------------------------------
% 1.27/1.23 % (338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.23 % (338)Termination reason: Unknown
% 1.27/1.23 % (338)Termination phase: Saturation
% 1.27/1.23
% 1.27/1.23 % (338)Memory used [KB]: 1023
% 1.27/1.23 % (338)Time elapsed: 0.003 s
% 1.27/1.23 % (338)Instructions burned: 3 (million)
% 1.27/1.23 % (338)------------------------------
% 1.27/1.23 % (338)------------------------------
% 1.27/1.25 % (339)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_32676 for (2998ds/30Mi)
% 1.27/1.26 % (339)Instruction limit reached!
% 1.27/1.26 % (339)------------------------------
% 1.27/1.26 % (339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.26 % (339)Termination reason: Unknown
% 1.27/1.26 % (339)Termination phase: Saturation
% 1.27/1.26
% 1.27/1.26 % (339)Memory used [KB]: 5756
% 1.27/1.26 % (339)Time elapsed: 0.040 s
% 1.27/1.26 % (339)Instructions burned: 31 (million)
% 1.27/1.26 % (339)------------------------------
% 1.27/1.26 % (339)------------------------------
% 1.27/1.27 % (332)Instruction limit reached!
% 1.27/1.27 % (332)------------------------------
% 1.27/1.27 % (332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.27 % (332)Termination reason: Unknown
% 1.27/1.27 % (332)Termination phase: Saturation
% 1.27/1.27
% 1.27/1.27 % (332)Memory used [KB]: 6268
% 1.27/1.27 % (332)Time elapsed: 0.116 s
% 1.27/1.27 % (332)Instructions burned: 379 (million)
% 1.27/1.27 % (332)------------------------------
% 1.27/1.27 % (332)------------------------------
% 1.27/1.28 % (341)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_32676 for (2997ds/100Mi)
% 1.27/1.28 % (341)Refutation not found, incomplete strategy
% 1.27/1.28 % (341)------------------------------
% 1.27/1.28 % (341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.28 % (341)Termination reason: Refutation not found, incomplete strategy
% 1.27/1.28
% 1.27/1.28
% 1.27/1.28 % (341)Memory used [KB]: 5500
% 1.27/1.28 % (341)Time elapsed: 0.003 s
% 1.27/1.28 % (341)Instructions burned: 4 (million)
% 1.27/1.28 % (341)------------------------------
% 1.27/1.28 % (341)------------------------------
% 1.27/1.28 % (340)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_32676 for (2997ds/127Mi)
% 1.27/1.29 % (342)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_32676 for (2997ds/3Mi)
% 1.27/1.29 % (342)Instruction limit reached!
% 1.27/1.29 % (342)------------------------------
% 1.27/1.29 % (342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.29 % (342)Termination reason: Unknown
% 1.27/1.29 % (342)Termination phase: Saturation
% 1.27/1.29
% 1.27/1.29 % (342)Memory used [KB]: 5500
% 1.27/1.29 % (342)Time elapsed: 0.002 s
% 1.27/1.29 % (342)Instructions burned: 3 (million)
% 1.27/1.29 % (342)------------------------------
% 1.27/1.29 % (342)------------------------------
% 1.27/1.30 % (343)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_32676 for (2997ds/20Mi)
% 1.27/1.30 % (343)Instruction limit reached!
% 1.27/1.30 % (343)------------------------------
% 1.27/1.30 % (343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.30 % (343)Termination reason: Unknown
% 1.27/1.30 % (343)Termination phase: Saturation
% 1.27/1.30
% 1.27/1.30 % (343)Memory used [KB]: 5628
% 1.27/1.30 % (343)Time elapsed: 0.008 s
% 1.27/1.30 % (343)Instructions burned: 20 (million)
% 1.27/1.30 % (343)------------------------------
% 1.27/1.30 % (343)------------------------------
% 1.27/1.31 % (344)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_32676 for (2997ds/86Mi)
% 1.27/1.34 % (344)Instruction limit reached!
% 1.27/1.34 % (344)------------------------------
% 1.27/1.34 % (344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.34 % (344)Termination reason: Unknown
% 1.27/1.34 % (344)Termination phase: Saturation
% 1.27/1.34
% 1.27/1.34 % (344)Memory used [KB]: 6012
% 1.27/1.34 % (344)Time elapsed: 0.028 s
% 1.27/1.34 % (340)Instruction limit reached!
% 1.27/1.34 % (340)------------------------------
% 1.27/1.34 % (340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.34 % (344)Instructions burned: 86 (million)
% 1.27/1.34 % (344)------------------------------
% 1.27/1.34 % (344)------------------------------
% 1.27/1.34 % (340)Termination reason: Unknown
% 1.27/1.34 % (340)Termination phase: Saturation
% 1.27/1.34
% 1.27/1.34 % (340)Memory used [KB]: 6140
% 1.27/1.34 % (340)Time elapsed: 0.086 s
% 1.27/1.34 % (340)Instructions burned: 127 (million)
% 1.27/1.34 % (340)------------------------------
% 1.27/1.34 % (340)------------------------------
% 1.27/1.35 % (345)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_32676 for (2996ds/107Mi)
% 1.27/1.36 % (346)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_32676 for (2996ds/39Mi)
% 1.27/1.39 % (346)Instruction limit reached!
% 1.27/1.39 % (346)------------------------------
% 1.27/1.39 % (346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.39 % (346)Termination reason: Unknown
% 1.27/1.39 % (346)Termination phase: Saturation
% 1.27/1.39
% 1.27/1.39 % (346)Memory used [KB]: 5884
% 1.27/1.39 % (346)Time elapsed: 0.018 s
% 1.27/1.39 % (346)Instructions burned: 39 (million)
% 1.27/1.39 % (346)------------------------------
% 1.27/1.39 % (346)------------------------------
% 1.27/1.40 % (345)Instruction limit reached!
% 1.27/1.40 % (345)------------------------------
% 1.27/1.40 % (345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.40 % (345)Termination reason: Unknown
% 1.27/1.40 % (345)Termination phase: Saturation
% 1.27/1.40
% 1.27/1.40 % (345)Memory used [KB]: 5756
% 1.27/1.40 % (345)Time elapsed: 0.035 s
% 1.27/1.40 % (345)Instructions burned: 107 (million)
% 1.27/1.40 % (345)------------------------------
% 1.27/1.40 % (345)------------------------------
% 1.27/1.41 % (347)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_32676 for (2996ds/448Mi)
% 1.27/1.41 % (348)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_32676 for (2996ds/46Mi)
% 1.27/1.44 % (348)Instruction limit reached!
% 1.27/1.44 % (348)------------------------------
% 1.27/1.44 % (348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.44 % (348)Termination reason: Unknown
% 1.27/1.44 % (348)Termination phase: Saturation
% 1.27/1.44
% 1.27/1.44 % (348)Memory used [KB]: 5756
% 1.27/1.44 % (348)Time elapsed: 0.026 s
% 1.27/1.44 % (348)Instructions burned: 46 (million)
% 1.27/1.44 % (348)------------------------------
% 1.27/1.44 % (348)------------------------------
% 1.27/1.46 % (349)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_32676 for (2996ds/98Mi)
% 1.27/1.47 % (326)Instruction limit reached!
% 1.27/1.47 % (326)------------------------------
% 1.27/1.47 % (326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.47 % (326)Termination reason: Unknown
% 1.27/1.47 % (326)Termination phase: Saturation
% 1.27/1.47
% 1.27/1.47 % (326)Memory used [KB]: 7164
% 1.27/1.47 % (326)Time elapsed: 0.339 s
% 1.27/1.47 % (326)Instructions burned: 711 (million)
% 1.27/1.47 % (326)------------------------------
% 1.27/1.47 % (326)------------------------------
% 1.27/1.48 % (350)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_32676 for (2995ds/507Mi)
% 1.27/1.52 % (349)Instruction limit reached!
% 1.27/1.52 % (349)------------------------------
% 1.27/1.52 % (349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.52 % (349)Termination reason: Unknown
% 1.27/1.52 % (349)Termination phase: Saturation
% 1.27/1.52
% 1.27/1.52 % (349)Memory used [KB]: 1279
% 1.27/1.52 % (349)Time elapsed: 0.076 s
% 1.27/1.52 % (349)Instructions burned: 99 (million)
% 1.27/1.52 % (349)------------------------------
% 1.27/1.52 % (349)------------------------------
% 1.27/1.52 % (317)Instruction limit reached!
% 1.27/1.52 % (317)------------------------------
% 1.27/1.52 % (317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.52 % (317)Termination reason: Unknown
% 1.27/1.52 % (317)Termination phase: Saturation
% 1.27/1.52
% 1.27/1.52 % (317)Memory used [KB]: 6908
% 1.27/1.52 % (317)Time elapsed: 0.438 s
% 1.27/1.52 % (317)Instructions burned: 1042 (million)
% 1.27/1.52 % (317)------------------------------
% 1.27/1.52 % (317)------------------------------
% 1.27/1.53 % (333)Instruction limit reached!
% 1.27/1.53 % (333)------------------------------
% 1.27/1.53 % (333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.53 % (333)Termination reason: Unknown
% 1.27/1.53 % (333)Termination phase: Saturation
% 1.27/1.53
% 1.27/1.53 % (333)Memory used [KB]: 6908
% 1.27/1.53 % (333)Time elapsed: 0.372 s
% 1.27/1.53 % (333)Instructions burned: 779 (million)
% 1.27/1.53 % (333)------------------------------
% 1.27/1.53 % (333)------------------------------
% 1.27/1.54 % (352)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_32676 for (2995ds/39Mi)
% 1.27/1.54 % (351)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_32676 for (2995ds/149Mi)
% 1.27/1.55 % (353)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_32676 for (2995ds/6Mi)
% 1.27/1.55 % (353)Instruction limit reached!
% 1.27/1.55 % (353)------------------------------
% 1.27/1.55 % (353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.55 % (353)Termination reason: Unknown
% 1.27/1.55 % (353)Termination phase: Saturation
% 1.27/1.55
% 1.27/1.55 % (353)Memory used [KB]: 9978
% 1.27/1.55 % (353)Time elapsed: 0.005 s
% 1.27/1.55 % (353)Instructions burned: 6 (million)
% 1.27/1.55 % (353)------------------------------
% 1.27/1.55 % (353)------------------------------
% 1.27/1.56 % (328)Instruction limit reached!
% 1.27/1.56 % (328)------------------------------
% 1.27/1.56 % (328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.56 % (328)Termination reason: Unknown
% 1.27/1.56 % (328)Termination phase: Saturation
% 1.27/1.56
% 1.27/1.56 % (328)Memory used [KB]: 6780
% 1.27/1.56 % (328)Time elapsed: 0.419 s
% 1.27/1.56 % (328)Instructions burned: 903 (million)
% 1.27/1.56 % (328)------------------------------
% 1.27/1.56 % (328)------------------------------
% 1.27/1.56 % (352)Instruction limit reached!
% 1.27/1.56 % (352)------------------------------
% 1.27/1.56 % (352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.56 % (352)Termination reason: Unknown
% 1.27/1.56 % (352)Termination phase: Saturation
% 1.27/1.56
% 1.27/1.56 % (352)Memory used [KB]: 5628
% 1.27/1.56 % (352)Time elapsed: 0.021 s
% 1.27/1.56 % (352)Instructions burned: 39 (million)
% 1.27/1.56 % (352)------------------------------
% 1.27/1.56 % (352)------------------------------
% 1.27/1.57 % (354)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_32676 for (2994ds/1087Mi)
% 1.27/1.57 % (355)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_32676 for (2994ds/47Mi)
% 1.27/1.57 % (356)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_32676 for (2994ds/44Mi)
% 1.27/1.58 % (347)Instruction limit reached!
% 1.27/1.58 % (347)------------------------------
% 1.27/1.58 % (347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.58 % (347)Termination reason: Unknown
% 1.27/1.58 % (347)Termination phase: Saturation
% 1.27/1.58
% 1.27/1.58 % (347)Memory used [KB]: 6268
% 1.27/1.58 % (347)Time elapsed: 0.159 s
% 1.27/1.58 % (347)Instructions burned: 448 (million)
% 1.27/1.58 % (347)------------------------------
% 1.27/1.58 % (347)------------------------------
% 1.27/1.59 % (357)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_32676 for (2994ds/432Mi)
% 1.27/1.59 % (355)Instruction limit reached!
% 1.27/1.59 % (355)------------------------------
% 1.27/1.59 % (355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.59 % (355)Termination reason: Unknown
% 1.27/1.59 % (355)Termination phase: Saturation
% 1.27/1.59
% 1.27/1.59 % (355)Memory used [KB]: 5628
% 1.27/1.59 % (355)Time elapsed: 0.024 s
% 1.27/1.59 % (355)Instructions burned: 47 (million)
% 1.27/1.59 % (355)------------------------------
% 1.27/1.59 % (355)------------------------------
% 1.27/1.60 % (356)Instruction limit reached!
% 1.27/1.60 % (356)------------------------------
% 1.27/1.60 % (356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.60 % (356)Termination reason: Unknown
% 1.27/1.60 % (356)Termination phase: Saturation
% 1.27/1.60
% 1.27/1.60 % (356)Memory used [KB]: 1279
% 1.27/1.60 % (356)Time elapsed: 0.023 s
% 1.27/1.60 % (356)Instructions burned: 44 (million)
% 1.27/1.60 % (356)------------------------------
% 1.27/1.60 % (356)------------------------------
% 1.27/1.61 % (336)Instruction limit reached!
% 1.27/1.61 % (336)------------------------------
% 1.27/1.61 % (336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.61 % (336)Termination reason: Unknown
% 1.27/1.61 % (336)Termination phase: Saturation
% 1.27/1.61
% 1.27/1.61 % (336)Memory used [KB]: 6908
% 1.27/1.61 % (336)Time elapsed: 0.414 s
% 1.27/1.61 % (336)Instructions burned: 880 (million)
% 1.27/1.61 % (336)------------------------------
% 1.27/1.61 % (336)------------------------------
% 1.27/1.61 % (358)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_32676 for (2994ds/62Mi)
% 1.27/1.61 % (359)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_32676 for (2994ds/31Mi)
% 1.27/1.62 % (351)Instruction limit reached!
% 1.27/1.62 % (351)------------------------------
% 1.27/1.62 % (351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.62 % (351)Termination reason: Unknown
% 1.27/1.62 % (351)Termination phase: Saturation
% 1.27/1.62
% 1.27/1.62 % (351)Memory used [KB]: 5884
% 1.27/1.62 % (351)Time elapsed: 0.099 s
% 1.27/1.62 % (351)Instructions burned: 150 (million)
% 1.27/1.62 % (351)------------------------------
% 1.27/1.62 % (351)------------------------------
% 1.27/1.63 % (360)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_32676 for (2994ds/96Mi)
% 1.27/1.63 % (359)Instruction limit reached!
% 1.27/1.63 % (359)------------------------------
% 1.27/1.63 % (359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.63 % (359)Termination reason: Unknown
% 1.27/1.63 % (359)Termination phase: Saturation
% 1.27/1.63
% 1.27/1.63 % (359)Memory used [KB]: 5628
% 1.27/1.63 % (359)Time elapsed: 0.018 s
% 1.27/1.63 % (359)Instructions burned: 32 (million)
% 1.27/1.63 % (359)------------------------------
% 1.27/1.63 % (359)------------------------------
% 1.27/1.64 % (358)Instruction limit reached!
% 1.27/1.64 % (358)------------------------------
% 1.27/1.64 % (358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.64 % (358)Termination reason: Unknown
% 1.27/1.64 % (358)Termination phase: Saturation
% 1.27/1.64
% 1.27/1.64 % (358)Memory used [KB]: 5756
% 1.27/1.64 % (358)Time elapsed: 0.031 s
% 1.27/1.64 % (358)Instructions burned: 62 (million)
% 1.27/1.64 % (358)------------------------------
% 1.27/1.64 % (358)------------------------------
% 1.27/1.64 % (361)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_32676 for (2994ds/453Mi)
% 1.27/1.65 % (362)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_32676 for (2994ds/71Mi)
% 1.27/1.66 % (363)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_32676 for (2994ds/83Mi)
% 1.27/1.67 % (360)Instruction limit reached!
% 1.27/1.67 % (360)------------------------------
% 1.27/1.67 % (360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.67 % (360)Termination reason: Unknown
% 1.27/1.67 % (360)Termination phase: Saturation
% 1.27/1.67
% 1.27/1.67 % (360)Memory used [KB]: 5756
% 1.27/1.67 % (360)Time elapsed: 0.048 s
% 1.27/1.67 % (360)Instructions burned: 96 (million)
% 1.27/1.67 % (360)------------------------------
% 1.27/1.67 % (360)------------------------------
% 1.27/1.68 % (362)Instruction limit reached!
% 1.27/1.68 % (362)------------------------------
% 1.27/1.68 % (362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.68 % (362)Termination reason: Unknown
% 1.27/1.68 % (362)Termination phase: Saturation
% 1.27/1.68
% 1.27/1.68 % (362)Memory used [KB]: 5756
% 1.27/1.68 % (362)Time elapsed: 0.036 s
% 1.27/1.68 % (362)Instructions burned: 72 (million)
% 1.27/1.68 % (362)------------------------------
% 1.27/1.68 % (362)------------------------------
% 1.27/1.69 % (364)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_32676 for (2993ds/11Mi)
% 1.27/1.69 % (365)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_32676 for (2993ds/41Mi)
% 1.27/1.69 % (364)Instruction limit reached!
% 1.27/1.69 % (364)------------------------------
% 1.27/1.69 % (364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.69 % (364)Termination reason: Unknown
% 1.27/1.69 % (364)Termination phase: Saturation
% 1.27/1.69
% 1.27/1.69 % (364)Memory used [KB]: 5500
% 1.27/1.69 % (364)Time elapsed: 0.007 s
% 1.27/1.69 % (364)Instructions burned: 11 (million)
% 1.27/1.69 % (364)------------------------------
% 1.27/1.69 % (364)------------------------------
% 1.27/1.70 % (363)Instruction limit reached!
% 1.27/1.70 % (363)------------------------------
% 1.27/1.70 % (363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.70 % (363)Termination reason: Unknown
% 1.27/1.70 % (363)Termination phase: Saturation
% 1.27/1.70
% 1.27/1.70 % (363)Memory used [KB]: 5884
% 1.27/1.70 % (363)Time elapsed: 0.042 s
% 1.27/1.70 % (363)Instructions burned: 83 (million)
% 1.27/1.70 % (363)------------------------------
% 1.27/1.70 % (363)------------------------------
% 1.27/1.70 % (365)Refutation not found, incomplete strategy
% 1.27/1.70 % (365)------------------------------
% 1.27/1.70 % (365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.70 % (365)Termination reason: Refutation not found, incomplete strategy
% 1.27/1.70
% 1.27/1.70
% 1.27/1.70 % (365)Memory used [KB]: 5500
% 1.27/1.70 % (365)Time elapsed: 0.006 s
% 1.27/1.70 % (365)Instructions burned: 15 (million)
% 1.27/1.70 % (365)------------------------------
% 1.27/1.70 % (365)------------------------------
% 1.27/1.71 % (367)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_32676 for (2993ds/150Mi)
% 1.27/1.71 % (366)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_32676 for (2993ds/6Mi)
% 1.27/1.71 % (368)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_32676 for (2993ds/343Mi)
% 1.27/1.71 % (366)Instruction limit reached!
% 1.27/1.71 % (366)------------------------------
% 1.27/1.71 % (366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.71 % (366)Termination reason: Unknown
% 1.27/1.71 % (366)Termination phase: Saturation
% 1.27/1.71
% 1.27/1.71 % (366)Memory used [KB]: 5500
% 1.27/1.71 % (366)Time elapsed: 0.005 s
% 1.27/1.71 % (366)Instructions burned: 7 (million)
% 1.27/1.71 % (366)------------------------------
% 1.27/1.71 % (366)------------------------------
% 1.27/1.72 % (350)Instruction limit reached!
% 1.27/1.72 % (350)------------------------------
% 1.27/1.72 % (350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.72 % (350)Termination reason: Unknown
% 1.27/1.72 % (350)Termination phase: Saturation
% 1.27/1.72
% 1.27/1.72 % (350)Memory used [KB]: 6524
% 1.27/1.72 % (350)Time elapsed: 0.245 s
% 1.27/1.72 % (350)Instructions burned: 508 (million)
% 1.27/1.72 % (350)------------------------------
% 1.27/1.72 % (350)------------------------------
% 1.27/1.73 % (357)Instruction limit reached!
% 1.27/1.73 % (357)------------------------------
% 1.27/1.73 % (357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.73 % (357)Termination reason: Unknown
% 1.27/1.73 % (357)Termination phase: Saturation
% 1.27/1.73
% 1.27/1.73 % (357)Memory used [KB]: 2558
% 1.27/1.73 % (357)Time elapsed: 0.146 s
% 1.27/1.73 % (357)Instructions burned: 432 (million)
% 1.27/1.73 % (357)------------------------------
% 1.27/1.73 % (357)------------------------------
% 1.27/1.73 % (369)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_32676 for (2993ds/109Mi)
% 1.27/1.74 % (370)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_32676 for (2993ds/253Mi)
% 1.27/1.75 % (371)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_32676 for (2993ds/140Mi)
% 1.27/1.75 % (367)Instruction limit reached!
% 1.27/1.75 % (367)------------------------------
% 1.27/1.75 % (367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.75 % (367)Termination reason: Unknown
% 1.27/1.75 % (367)Termination phase: Saturation
% 1.27/1.75
% 1.27/1.75 % (367)Memory used [KB]: 6268
% 1.27/1.75 % (367)Time elapsed: 0.046 s
% 1.27/1.75 % (367)Instructions burned: 150 (million)
% 1.27/1.75 % (367)------------------------------
% 1.27/1.75 % (367)------------------------------
% 1.27/1.76 % (371)Refutation not found, incomplete strategy
% 1.27/1.76 % (371)------------------------------
% 1.27/1.76 % (371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.76 % (371)Termination reason: Refutation not found, incomplete strategy
% 1.27/1.76
% 1.27/1.76
% 1.27/1.76 % (371)Memory used [KB]: 5500
% 1.27/1.76 % (371)Time elapsed: 0.030 s
% 1.27/1.76 % (371)Instructions burned: 12 (million)
% 1.27/1.76 % (371)------------------------------
% 1.27/1.76 % (371)------------------------------
% 1.27/1.76 % (372)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_32676 for (2993ds/614Mi)
% 1.27/1.77 % (373)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_32676 for (2992ds/202Mi)
% 1.27/1.78 % (369)Instruction limit reached!
% 1.27/1.78 % (369)------------------------------
% 1.27/1.78 % (369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.78 % (369)Termination reason: Unknown
% 1.27/1.78 % (369)Termination phase: Saturation
% 1.27/1.78
% 1.27/1.78 % (369)Memory used [KB]: 6268
% 1.27/1.78 % (369)Time elapsed: 0.075 s
% 1.27/1.78 % (369)Instructions burned: 109 (million)
% 1.27/1.78 % (369)------------------------------
% 1.27/1.78 % (369)------------------------------
% 1.27/1.80 % (374)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_32676 for (2992ds/339Mi)
% 1.27/1.84 % (373)Instruction limit reached!
% 1.27/1.84 % (373)------------------------------
% 1.27/1.84 % (373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.84 % (373)Termination reason: Unknown
% 1.27/1.84 % (373)Termination phase: Saturation
% 1.27/1.84
% 1.27/1.84 % (373)Memory used [KB]: 6140
% 1.27/1.84 % (373)Time elapsed: 0.085 s
% 1.27/1.84 % (373)Instructions burned: 204 (million)
% 1.27/1.84 % (373)------------------------------
% 1.27/1.84 % (373)------------------------------
% 1.27/1.85 % (376)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_32676 for (2991ds/283Mi)
% 1.27/1.85 % (361)Instruction limit reached!
% 1.27/1.85 % (361)------------------------------
% 1.27/1.85 % (361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.85 % (361)Termination reason: Unknown
% 1.27/1.85 % (361)Termination phase: Saturation
% 1.27/1.85
% 1.27/1.85 % (361)Memory used [KB]: 5884
% 1.27/1.85 % (361)Time elapsed: 0.206 s
% 1.27/1.85 % (361)Instructions burned: 453 (million)
% 1.27/1.85 % (361)------------------------------
% 1.27/1.85 % (361)------------------------------
% 1.27/1.86 % (370)Instruction limit reached!
% 1.27/1.86 % (370)------------------------------
% 1.27/1.86 % (370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.86 % (370)Termination reason: Unknown
% 1.27/1.86 % (370)Termination phase: Saturation
% 1.27/1.86
% 1.27/1.86 % (370)Memory used [KB]: 6012
% 1.27/1.86 % (370)Time elapsed: 0.124 s
% 1.27/1.86 % (370)Instructions burned: 254 (million)
% 1.27/1.86 % (370)------------------------------
% 1.27/1.86 % (370)------------------------------
% 1.27/1.87 % (377)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_32676 for (2991ds/134Mi)
% 1.27/1.88 % (368)Instruction limit reached!
% 1.27/1.88 % (368)------------------------------
% 1.27/1.88 % (368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.88 % (368)Termination reason: Unknown
% 1.27/1.88 % (368)Termination phase: Saturation
% 1.27/1.88
% 1.27/1.88 % (368)Memory used [KB]: 6396
% 1.27/1.88 % (368)Time elapsed: 0.164 s
% 1.27/1.88 % (368)Instructions burned: 345 (million)
% 1.27/1.88 % (368)------------------------------
% 1.27/1.88 % (368)------------------------------
% 1.27/1.88 % (378)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_32676 for (2991ds/298Mi)
% 1.27/1.88 % (379)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_32676 for (2991ds/192Mi)
% 1.27/1.93 % (377)Instruction limit reached!
% 1.27/1.93 % (377)------------------------------
% 1.27/1.93 % (377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.93 % (377)Termination reason: Unknown
% 1.27/1.93 % (377)Termination phase: Saturation
% 1.27/1.93
% 1.27/1.93 % (377)Memory used [KB]: 6268
% 1.27/1.93 % (377)Time elapsed: 0.066 s
% 1.27/1.93 % (377)Instructions burned: 135 (million)
% 1.27/1.93 % (377)------------------------------
% 1.27/1.93 % (377)------------------------------
% 1.27/1.95 % (379)Instruction limit reached!
% 1.27/1.95 % (379)------------------------------
% 1.27/1.95 % (379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.95 % (379)Termination reason: Unknown
% 1.27/1.95 % (379)Termination phase: Saturation
% 1.27/1.95
% 1.27/1.95 % (379)Memory used [KB]: 6268
% 1.27/1.95 % (379)Time elapsed: 0.066 s
% 1.27/1.95 % (379)Instructions burned: 193 (million)
% 1.27/1.95 % (379)------------------------------
% 1.27/1.95 % (379)------------------------------
% 1.27/1.95 % (381)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_32676 for (2991ds/258Mi)
% 1.27/1.96 % (374)Instruction limit reached!
% 1.27/1.96 % (374)------------------------------
% 1.27/1.96 % (374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.96 % (374)Termination reason: Unknown
% 1.27/1.96 % (374)Termination phase: Saturation
% 1.27/1.96
% 1.27/1.96 % (374)Memory used [KB]: 6268
% 1.27/1.96 % (374)Time elapsed: 0.165 s
% 1.27/1.96 % (374)Instructions burned: 340 (million)
% 1.27/1.96 % (374)------------------------------
% 1.27/1.96 % (374)------------------------------
% 1.27/1.97 % (382)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_32676 for (2990ds/90Mi)
% 1.27/1.98 % (376)Instruction limit reached!
% 1.27/1.98 % (376)------------------------------
% 1.27/1.98 % (376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/1.98 % (376)Termination reason: Unknown
% 1.27/1.98 % (376)Termination phase: Saturation
% 1.27/1.98
% 1.27/1.98 % (376)Memory used [KB]: 7547
% 1.27/1.98 % (376)Time elapsed: 0.122 s
% 1.27/1.98 % (376)Instructions burned: 284 (million)
% 1.27/1.98 % (376)------------------------------
% 1.27/1.98 % (376)------------------------------
% 1.27/1.98 % (383)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_32676 for (2990ds/231Mi)
% 1.27/1.99 % (384)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_32676 for (2990ds/458Mi)
% 1.27/2.01 % (382)Instruction limit reached!
% 1.27/2.01 % (382)------------------------------
% 1.27/2.01 % (382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.27/2.01 % (382)Termination reason: Unknown
% 1.27/2.01 % (382)Termination phase: Saturation
% 1.27/2.01
% 1.27/2.01 % (382)Memory used [KB]: 6012
% 1.27/2.01 % (382)Time elapsed: 0.047 s
% 1.27/2.01 % (382)Instructions burned: 90 (million)
% 1.27/2.01 % (382)------------------------------
% 1.27/2.01 % (382)------------------------------
% 7.74/2.02 % (378)Instruction limit reached!
% 7.74/2.02 % (378)------------------------------
% 7.74/2.02 % (378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.02 % (378)Termination reason: Unknown
% 7.74/2.02 % (378)Termination phase: Saturation
% 7.74/2.02
% 7.74/2.02 % (378)Memory used [KB]: 6140
% 7.74/2.02 % (378)Time elapsed: 0.144 s
% 7.74/2.02 % (378)Instructions burned: 299 (million)
% 7.74/2.02 % (378)------------------------------
% 7.74/2.02 % (378)------------------------------
% 7.74/2.03 % (385)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_32676 for (2990ds/31Mi)
% 7.74/2.04 % (386)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_32676 for (2990ds/297Mi)
% 7.74/2.04 % (354)Instruction limit reached!
% 7.74/2.04 % (354)------------------------------
% 7.74/2.04 % (354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.04 % (354)Termination reason: Unknown
% 7.74/2.04 % (354)Termination phase: Saturation
% 7.74/2.04
% 7.74/2.04 % (354)Memory used [KB]: 7036
% 7.74/2.04 % (354)Time elapsed: 0.475 s
% 7.74/2.04 % (354)Instructions burned: 1089 (million)
% 7.74/2.04 % (354)------------------------------
% 7.74/2.04 % (354)------------------------------
% 7.74/2.04 % (385)Instruction limit reached!
% 7.74/2.04 % (385)------------------------------
% 7.74/2.04 % (385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.04 % (385)Termination reason: Unknown
% 7.74/2.04 % (385)Termination phase: Saturation
% 7.74/2.04
% 7.74/2.04 % (385)Memory used [KB]: 5628
% 7.74/2.04 % (385)Time elapsed: 0.018 s
% 7.74/2.04 % (385)Instructions burned: 32 (million)
% 7.74/2.04 % (385)------------------------------
% 7.74/2.04 % (385)------------------------------
% 7.74/2.04 % (372)Instruction limit reached!
% 7.74/2.04 % (372)------------------------------
% 7.74/2.04 % (372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.04 % (372)Termination reason: Unknown
% 7.74/2.04 % (372)Termination phase: Saturation
% 7.74/2.04
% 7.74/2.04 % (372)Memory used [KB]: 6652
% 7.74/2.04 % (372)Time elapsed: 0.285 s
% 7.74/2.04 % (372)Instructions burned: 615 (million)
% 7.74/2.04 % (372)------------------------------
% 7.74/2.04 % (372)------------------------------
% 7.74/2.05 % (381)Instruction limit reached!
% 7.74/2.05 % (381)------------------------------
% 7.74/2.05 % (381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.05 % (381)Termination reason: Unknown
% 7.74/2.05 % (381)Termination phase: Saturation
% 7.74/2.05
% 7.74/2.05 % (381)Memory used [KB]: 6012
% 7.74/2.05 % (381)Time elapsed: 0.090 s
% 7.74/2.05 % (381)Instructions burned: 258 (million)
% 7.74/2.05 % (381)------------------------------
% 7.74/2.05 % (381)------------------------------
% 7.74/2.06 % (387)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_32676 for (2990ds/987Mi)
% 7.74/2.06 % (388)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_32676 for (2989ds/182Mi)
% 7.74/2.06 % (389)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_32676 for (2989ds/182Mi)
% 7.74/2.06 % (390)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_32676 for (2989ds/154Mi)
% 7.74/2.10 % (383)Instruction limit reached!
% 7.74/2.10 % (383)------------------------------
% 7.74/2.10 % (383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/2.10 % (383)Termination reason: Unknown
% 7.74/2.10 % (383)Termination phase: Saturation
% 7.74/2.10
% 7.74/2.10 % (383)Memory used [KB]: 6140
% 7.74/2.10 % (383)Time elapsed: 0.120 s
% 7.74/2.10 % (383)Instructions burned: 232 (million)
% 7.74/2.10 % (383)------------------------------
% 7.74/2.10 % (383)------------------------------
% 7.74/2.12 % (391)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_32676 for (2989ds/79Mi)
% 8.17/2.12 % (390)Instruction limit reached!
% 8.17/2.12 % (390)------------------------------
% 8.17/2.12 % (390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.12 % (390)Termination reason: Unknown
% 8.17/2.12 % (390)Termination phase: Saturation
% 8.17/2.12
% 8.17/2.12 % (390)Memory used [KB]: 6140
% 8.17/2.12 % (390)Time elapsed: 0.060 s
% 8.17/2.12 % (390)Instructions burned: 156 (million)
% 8.17/2.12 % (390)------------------------------
% 8.17/2.12 % (390)------------------------------
% 8.17/2.13 % (392)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_32676 for (2989ds/216Mi)
% 8.17/2.14 % (386)Instruction limit reached!
% 8.17/2.14 % (386)------------------------------
% 8.17/2.14 % (386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.14 % (386)Termination reason: Unknown
% 8.17/2.14 % (386)Termination phase: Saturation
% 8.17/2.14
% 8.17/2.14 % (386)Memory used [KB]: 6524
% 8.17/2.14 % (386)Time elapsed: 0.101 s
% 8.17/2.14 % (386)Instructions burned: 297 (million)
% 8.17/2.14 % (386)------------------------------
% 8.17/2.14 % (386)------------------------------
% 8.17/2.14 % (388)Instruction limit reached!
% 8.17/2.14 % (388)------------------------------
% 8.17/2.14 % (388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.14 % (388)Termination reason: Unknown
% 8.17/2.14 % (388)Termination phase: Saturation
% 8.17/2.14
% 8.17/2.14 % (388)Memory used [KB]: 6268
% 8.17/2.14 % (388)Time elapsed: 0.083 s
% 8.17/2.14 % (388)Instructions burned: 184 (million)
% 8.17/2.14 % (388)------------------------------
% 8.17/2.14 % (388)------------------------------
% 8.17/2.15 % (393)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_32676 for (2989ds/114Mi)
% 8.17/2.15 % (389)Instruction limit reached!
% 8.17/2.15 % (389)------------------------------
% 8.17/2.15 % (389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.15 % (389)Termination reason: Unknown
% 8.17/2.15 % (389)Termination phase: Saturation
% 8.17/2.15
% 8.17/2.15 % (389)Memory used [KB]: 5884
% 8.17/2.15 % (389)Time elapsed: 0.089 s
% 8.17/2.15 % (389)Instructions burned: 183 (million)
% 8.17/2.15 % (389)------------------------------
% 8.17/2.15 % (389)------------------------------
% 8.17/2.15 % (391)Instruction limit reached!
% 8.17/2.15 % (391)------------------------------
% 8.17/2.15 % (391)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.15 % (391)Termination reason: Unknown
% 8.17/2.15 % (391)Termination phase: Saturation
% 8.17/2.15
% 8.17/2.15 % (391)Memory used [KB]: 5756
% 8.17/2.15 % (391)Time elapsed: 0.041 s
% 8.17/2.15 % (391)Instructions burned: 81 (million)
% 8.17/2.15 % (391)------------------------------
% 8.17/2.15 % (391)------------------------------
% 8.17/2.16 % (394)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_32676 for (2989ds/922Mi)
% 8.17/2.16 % (396)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_32676 for (2988ds/164Mi)
% 8.17/2.16 % (395)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_32676 for (2988ds/182Mi)
% 8.17/2.19 % (393)Instruction limit reached!
% 8.17/2.19 % (393)------------------------------
% 8.17/2.19 % (393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.19 % (393)Termination reason: Unknown
% 8.17/2.19 % (393)Termination phase: Saturation
% 8.17/2.19
% 8.17/2.19 % (393)Memory used [KB]: 6268
% 8.17/2.19 % (393)Time elapsed: 0.047 s
% 8.17/2.19 % (393)Instructions burned: 114 (million)
% 8.17/2.19 % (393)------------------------------
% 8.17/2.19 % (393)------------------------------
% 8.75/2.21 % (397)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_32676 for (2988ds/50Mi)
% 8.75/2.21 % (384)Instruction limit reached!
% 8.75/2.21 % (384)------------------------------
% 8.75/2.21 % (384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.21 % (384)Termination reason: Unknown
% 8.75/2.21 % (384)Termination phase: Saturation
% 8.75/2.21
% 8.75/2.21 % (384)Memory used [KB]: 6268
% 8.75/2.21 % (384)Time elapsed: 0.216 s
% 8.75/2.21 % (384)Instructions burned: 458 (million)
% 8.75/2.21 % (384)------------------------------
% 8.75/2.21 % (384)------------------------------
% 8.75/2.22 % (392)Instruction limit reached!
% 8.75/2.22 % (392)------------------------------
% 8.75/2.22 % (392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.22 % (392)Termination reason: Unknown
% 8.75/2.22 % (392)Termination phase: Saturation
% 8.75/2.22
% 8.75/2.22 % (392)Memory used [KB]: 6268
% 8.75/2.22 % (392)Time elapsed: 0.085 s
% 8.75/2.22 % (392)Instructions burned: 217 (million)
% 8.75/2.22 % (392)------------------------------
% 8.75/2.22 % (392)------------------------------
% 8.75/2.22 % (396)Instruction limit reached!
% 8.75/2.22 % (396)------------------------------
% 8.75/2.22 % (396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.22 % (396)Termination reason: Unknown
% 8.75/2.22 % (396)Termination phase: Saturation
% 8.75/2.22
% 8.75/2.22 % (396)Memory used [KB]: 1407
% 8.75/2.22 % (396)Time elapsed: 0.058 s
% 8.75/2.22 % (396)Instructions burned: 164 (million)
% 8.75/2.22 % (396)------------------------------
% 8.75/2.22 % (396)------------------------------
% 8.75/2.22 % (399)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_32676 for (2988ds/1021Mi)
% 8.75/2.23 % (398)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_32676 for (2988ds/368Mi)
% 8.75/2.23 % (397)Instruction limit reached!
% 8.75/2.23 % (397)------------------------------
% 8.75/2.23 % (397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.23 % (397)Termination reason: Unknown
% 8.75/2.23 % (397)Termination phase: Saturation
% 8.75/2.23
% 8.75/2.23 % (397)Memory used [KB]: 10618
% 8.75/2.23 % (397)Time elapsed: 0.026 s
% 8.75/2.23 % (397)Instructions burned: 51 (million)
% 8.75/2.23 % (397)------------------------------
% 8.75/2.23 % (397)------------------------------
% 8.75/2.24 % (400)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_32676 for (2988ds/267Mi)
% 8.75/2.25 % (401)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_32676 for (2988ds/204Mi)
% 8.75/2.25 % (395)Instruction limit reached!
% 8.75/2.25 % (395)------------------------------
% 8.75/2.25 % (395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.25 % (395)Termination reason: Unknown
% 8.75/2.25 % (395)Termination phase: Saturation
% 8.75/2.25
% 8.75/2.25 % (395)Memory used [KB]: 5884
% 8.75/2.25 % (395)Time elapsed: 0.088 s
% 8.75/2.25 % (395)Instructions burned: 182 (million)
% 8.75/2.25 % (395)------------------------------
% 8.75/2.25 % (395)------------------------------
% 8.75/2.27 % (402)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_32676 for (2988ds/26Mi)
% 8.75/2.28 % (402)Instruction limit reached!
% 8.75/2.28 % (402)------------------------------
% 8.75/2.28 % (402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.28 % (402)Termination reason: Unknown
% 8.75/2.28 % (402)Termination phase: Saturation
% 8.75/2.28
% 8.75/2.28 % (402)Memory used [KB]: 5628
% 8.75/2.28 % (402)Time elapsed: 0.014 s
% 8.75/2.28 % (402)Instructions burned: 26 (million)
% 8.75/2.28 % (402)------------------------------
% 8.75/2.28 % (402)------------------------------
% 9.09/2.30 % (403)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_32676 for (2987ds/53Mi)
% 9.09/2.32 % (403)Instruction limit reached!
% 9.09/2.32 % (403)------------------------------
% 9.09/2.32 % (403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.09/2.32 % (403)Termination reason: Unknown
% 9.09/2.32 % (403)Termination phase: Saturation
% 9.09/2.32
% 9.09/2.32 % (403)Memory used [KB]: 6140
% 9.09/2.32 % (403)Time elapsed: 0.027 s
% 9.09/2.32 % (403)Instructions burned: 53 (million)
% 9.09/2.32 % (403)------------------------------
% 9.09/2.32 % (403)------------------------------
% 9.09/2.34 % (401)Instruction limit reached!
% 9.09/2.34 % (401)------------------------------
% 9.09/2.34 % (401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.09/2.34 % (401)Termination reason: Unknown
% 9.09/2.34 % (401)Termination phase: Saturation
% 9.09/2.34
% 9.09/2.34 % (401)Memory used [KB]: 5884
% 9.09/2.34 % (401)Time elapsed: 0.090 s
% 9.09/2.34 % (401)Instructions burned: 207 (million)
% 9.09/2.34 % (401)------------------------------
% 9.09/2.34 % (401)------------------------------
% 9.09/2.35 % (404)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_32676 for (2987ds/4436Mi)
% 9.09/2.35 % (405)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_32676 for (2987ds/1539Mi)
% 9.09/2.37 % (400)Instruction limit reached!
% 9.09/2.37 % (400)------------------------------
% 9.09/2.37 % (400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.09/2.37 % (400)Termination reason: Unknown
% 9.09/2.37 % (400)Termination phase: Saturation
% 9.09/2.37
% 9.09/2.37 % (400)Memory used [KB]: 6012
% 9.09/2.37 % (400)Time elapsed: 0.131 s
% 9.09/2.37 % (400)Instructions burned: 267 (million)
% 9.09/2.37 % (400)------------------------------
% 9.09/2.37 % (400)------------------------------
% 9.09/2.38 % (406)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_32676 for (2986ds/408Mi)
% 9.39/2.40 % (398)Instruction limit reached!
% 9.39/2.40 % (398)------------------------------
% 9.39/2.40 % (398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.40 % (398)Termination reason: Unknown
% 9.39/2.40 % (398)Termination phase: Saturation
% 9.39/2.40
% 9.39/2.40 % (398)Memory used [KB]: 6524
% 9.39/2.40 % (398)Time elapsed: 0.174 s
% 9.39/2.40 % (398)Instructions burned: 368 (million)
% 9.39/2.40 % (398)------------------------------
% 9.39/2.40 % (398)------------------------------
% 9.39/2.41 % (407)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_32676 for (2986ds/5205Mi)
% 9.39/2.46 % (387)Instruction limit reached!
% 9.39/2.46 % (387)------------------------------
% 9.39/2.46 % (387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.46 % (387)Termination reason: Unknown
% 9.39/2.46 % (387)Termination phase: Saturation
% 9.39/2.46
% 9.39/2.46 % (387)Memory used [KB]: 6524
% 9.39/2.46 % (387)Time elapsed: 0.404 s
% 9.39/2.46 % (387)Instructions burned: 987 (million)
% 9.39/2.46 % (387)------------------------------
% 9.39/2.46 % (387)------------------------------
% 9.39/2.48 % (408)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_32676 for (2985ds/1913Mi)
% 9.99/2.56 % (406)Instruction limit reached!
% 9.99/2.56 % (406)------------------------------
% 9.99/2.56 % (406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.99/2.56 % (406)Termination reason: Unknown
% 9.99/2.56 % (406)Termination phase: Saturation
% 9.99/2.56
% 9.99/2.56 % (406)Memory used [KB]: 6908
% 9.99/2.56 % (406)Time elapsed: 0.175 s
% 9.99/2.56 % (406)Instructions burned: 410 (million)
% 9.99/2.56 % (406)------------------------------
% 9.99/2.56 % (406)------------------------------
% 9.99/2.56 % (394)Instruction limit reached!
% 9.99/2.56 % (394)------------------------------
% 9.99/2.56 % (394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.99/2.56 % (394)Termination reason: Unknown
% 9.99/2.56 % (394)Termination phase: Saturation
% 9.99/2.56
% 9.99/2.56 % (394)Memory used [KB]: 7036
% 9.99/2.56 % (394)Time elapsed: 0.403 s
% 9.99/2.56 % (394)Instructions burned: 923 (million)
% 9.99/2.56 % (394)------------------------------
% 9.99/2.56 % (394)------------------------------
% 9.99/2.57 % (409)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_32676 for (2984ds/4350Mi)
% 9.99/2.57 % (410)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_32676 for (2984ds/68Mi)
% 10.60/2.61 % (410)Instruction limit reached!
% 10.60/2.61 % (410)------------------------------
% 10.60/2.61 % (410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.60/2.61 % (410)Termination reason: Unknown
% 10.60/2.61 % (410)Termination phase: Saturation
% 10.60/2.61
% 10.60/2.61 % (410)Memory used [KB]: 5884
% 10.60/2.61 % (410)Time elapsed: 0.034 s
% 10.60/2.61 % (410)Instructions burned: 68 (million)
% 10.60/2.61 % (410)------------------------------
% 10.60/2.61 % (410)------------------------------
% 10.60/2.62 % (411)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_32676 for (2984ds/358Mi)
% 10.60/2.68 % (399)Instruction limit reached!
% 10.60/2.68 % (399)------------------------------
% 10.60/2.68 % (399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.60/2.68 % (399)Termination reason: Unknown
% 10.60/2.68 % (399)Termination phase: Saturation
% 10.60/2.68
% 10.60/2.68 % (399)Memory used [KB]: 6908
% 10.60/2.68 % (399)Time elapsed: 0.456 s
% 10.60/2.68 % (399)Instructions burned: 1022 (million)
% 10.60/2.68 % (399)------------------------------
% 10.60/2.68 % (399)------------------------------
% 11.11/2.70 % (412)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_32676 for (2983ds/31Mi)
% 11.11/2.73 % (412)Instruction limit reached!
% 11.11/2.73 % (412)------------------------------
% 11.11/2.73 % (412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.11/2.73 % (412)Termination reason: Unknown
% 11.11/2.73 % (412)Termination phase: Saturation
% 11.11/2.73
% 11.11/2.73 % (412)Memory used [KB]: 5628
% 11.11/2.73 % (412)Time elapsed: 0.059 s
% 11.11/2.73 % (412)Instructions burned: 33 (million)
% 11.11/2.73 % (412)------------------------------
% 11.11/2.73 % (412)------------------------------
% 11.11/2.74 % (413)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_32676 for (2983ds/279Mi)
% 11.11/2.79 % (411)Instruction limit reached!
% 11.11/2.79 % (411)------------------------------
% 11.11/2.79 % (411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.11/2.79 % (411)Termination reason: Unknown
% 11.11/2.79 % (411)Termination phase: Saturation
% 11.11/2.79
% 11.11/2.79 % (411)Memory used [KB]: 6140
% 11.11/2.79 % (411)Time elapsed: 0.189 s
% 11.11/2.79 % (411)Instructions burned: 358 (million)
% 11.11/2.79 % (411)------------------------------
% 11.11/2.79 % (411)------------------------------
% 11.33/2.81 % (414)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_32676 for (2982ds/258Mi)
% 11.33/2.87 % (413)Instruction limit reached!
% 11.33/2.87 % (413)------------------------------
% 11.33/2.87 % (413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.33/2.87 % (413)Termination reason: Unknown
% 11.33/2.87 % (413)Termination phase: Saturation
% 11.33/2.87
% 11.33/2.87 % (413)Memory used [KB]: 6140
% 11.33/2.87 % (413)Time elapsed: 0.154 s
% 11.33/2.87 % (413)Instructions burned: 280 (million)
% 11.33/2.87 % (413)------------------------------
% 11.33/2.87 % (413)------------------------------
% 11.33/2.89 % (415)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_32676 for (2981ds/26Mi)
% 11.48/2.90 % (415)Instruction limit reached!
% 11.48/2.90 % (415)------------------------------
% 11.48/2.90 % (415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.48/2.90 % (415)Termination reason: Unknown
% 11.48/2.90 % (415)Termination phase: Saturation
% 11.48/2.90
% 11.48/2.90 % (415)Memory used [KB]: 5628
% 11.48/2.90 % (415)Time elapsed: 0.038 s
% 11.48/2.90 % (415)Instructions burned: 27 (million)
% 11.48/2.90 % (415)------------------------------
% 11.48/2.90 % (415)------------------------------
% 11.48/2.93 % (416)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_32676 for (2981ds/995Mi)
% 11.48/2.93 % (416)Refutation not found, incomplete strategy
% 11.48/2.93 % (416)------------------------------
% 11.48/2.93 % (416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.48/2.93 % (416)Termination reason: Refutation not found, incomplete strategy
% 11.48/2.93
% 11.48/2.93
% 11.48/2.93 % (416)Memory used [KB]: 5500
% 11.48/2.93 % (416)Time elapsed: 0.038 s
% 11.48/2.93 % (416)Instructions burned: 8 (million)
% 11.48/2.93 % (416)------------------------------
% 11.48/2.93 % (416)------------------------------
% 11.48/2.95 % (414)Instruction limit reached!
% 11.48/2.95 % (414)------------------------------
% 11.48/2.95 % (414)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.48/2.95 % (414)Termination reason: Unknown
% 11.48/2.95 % (414)Termination phase: Saturation
% 11.48/2.95
% 11.48/2.95 % (414)Memory used [KB]: 6140
% 11.48/2.95 % (414)Time elapsed: 0.167 s
% 11.48/2.95 % (414)Instructions burned: 259 (million)
% 11.48/2.95 % (414)------------------------------
% 11.48/2.95 % (414)------------------------------
% 11.48/2.96 % (418)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_32676 for (2981ds/373Mi)
% 11.48/2.97 % (419)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_32676 for (2981ds/253Mi)
% 14.58/3.03 % (405)Instruction limit reached!
% 14.58/3.03 % (405)------------------------------
% 14.58/3.03 % (405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.58/3.03 % (405)Termination reason: Unknown
% 14.58/3.03 % (405)Termination phase: Saturation
% 14.58/3.03
% 14.58/3.03 % (405)Memory used [KB]: 7931
% 14.58/3.03 % (405)Time elapsed: 0.679 s
% 14.58/3.03 % (405)Instructions burned: 1540 (million)
% 14.58/3.03 % (405)------------------------------
% 14.58/3.03 % (405)------------------------------
% 14.58/3.04 % (420)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_32676 for (2980ds/832Mi)
% 14.58/3.09 % (419)Instruction limit reached!
% 14.58/3.09 % (419)------------------------------
% 14.58/3.09 % (419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.58/3.09 % (419)Termination reason: Unknown
% 14.58/3.09 % (419)Termination phase: Saturation
% 14.58/3.09
% 14.58/3.09 % (419)Memory used [KB]: 6012
% 14.58/3.09 % (419)Time elapsed: 0.146 s
% 14.58/3.09 % (419)Instructions burned: 254 (million)
% 14.58/3.09 % (419)------------------------------
% 14.58/3.09 % (419)------------------------------
% 14.58/3.11 % (421)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_32676 for (2979ds/668Mi)
% 15.29/3.13 % (418)Instruction limit reached!
% 15.29/3.13 % (418)------------------------------
% 15.29/3.13 % (418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.29/3.13 % (418)Termination reason: Unknown
% 15.29/3.13 % (418)Termination phase: Saturation
% 15.29/3.13
% 15.29/3.13 % (418)Memory used [KB]: 6396
% 15.29/3.13 % (418)Time elapsed: 0.196 s
% 15.29/3.13 % (418)Instructions burned: 374 (million)
% 15.29/3.13 % (418)------------------------------
% 15.29/3.13 % (418)------------------------------
% 15.29/3.15 % (422)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_32676 for (2979ds/40Mi)
% 15.29/3.17 % (422)Instruction limit reached!
% 15.29/3.17 % (422)------------------------------
% 15.29/3.17 % (422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.29/3.17 % (422)Termination reason: Unknown
% 15.29/3.17 % (422)Termination phase: Saturation
% 15.29/3.17
% 15.29/3.17 % (422)Memory used [KB]: 5884
% 15.29/3.17 % (422)Time elapsed: 0.021 s
% 15.29/3.17 % (422)Instructions burned: 40 (million)
% 15.29/3.17 % (422)------------------------------
% 15.29/3.17 % (422)------------------------------
% 15.29/3.19 % (423)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_32676 for (2978ds/294Mi)
% 16.02/3.30 % (408)Instruction limit reached!
% 16.02/3.30 % (408)------------------------------
% 16.02/3.30 % (408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.02/3.30 % (408)Termination reason: Unknown
% 16.02/3.30 % (408)Termination phase: Saturation
% 16.02/3.30
% 16.02/3.30 % (408)Memory used [KB]: 2174
% 16.02/3.30 % (408)Time elapsed: 0.827 s
% 16.02/3.30 % (408)Instructions burned: 1914 (million)
% 16.02/3.30 % (408)------------------------------
% 16.02/3.30 % (408)------------------------------
% 16.02/3.31 % (423)Instruction limit reached!
% 16.02/3.31 % (423)------------------------------
% 16.02/3.31 % (423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.02/3.31 % (423)Termination reason: Unknown
% 16.02/3.31 % (423)Termination phase: Saturation
% 16.02/3.31
% 16.02/3.31 % (423)Memory used [KB]: 6396
% 16.02/3.31 % (423)Time elapsed: 0.128 s
% 16.02/3.31 % (423)Instructions burned: 295 (million)
% 16.02/3.31 % (423)------------------------------
% 16.02/3.31 % (423)------------------------------
% 16.02/3.32 % (424)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_32676 for (2977ds/187Mi)
% 16.02/3.33 % (425)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_32676 for (2977ds/371Mi)
% 16.02/3.37 % (420)Instruction limit reached!
% 16.02/3.37 % (420)------------------------------
% 16.02/3.37 % (420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.02/3.37 % (420)Termination reason: Unknown
% 16.02/3.37 % (420)Termination phase: Saturation
% 16.02/3.37
% 16.02/3.37 % (420)Memory used [KB]: 6652
% 16.02/3.37 % (420)Time elapsed: 0.336 s
% 16.02/3.37 % (420)Instructions burned: 832 (million)
% 16.02/3.37 % (420)------------------------------
% 16.02/3.37 % (420)------------------------------
% 16.02/3.38 % (424)Instruction limit reached!
% 16.02/3.38 % (424)------------------------------
% 16.02/3.38 % (424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.02/3.38 % (424)Termination reason: Unknown
% 16.02/3.38 % (424)Termination phase: Saturation
% 16.02/3.38
% 16.02/3.38 % (424)Memory used [KB]: 6780
% 16.02/3.38 % (424)Time elapsed: 0.055 s
% 16.02/3.38 % (424)Instructions burned: 187 (million)
% 16.02/3.38 % (424)------------------------------
% 16.02/3.38 % (424)------------------------------
% 16.02/3.39 % (427)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_32676 for (2976ds/70Mi)
% 16.02/3.39 % (426)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_32676 for (2976ds/1827Mi)
% 16.88/3.40 % (421)Instruction limit reached!
% 16.88/3.40 % (421)------------------------------
% 16.88/3.40 % (421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.88/3.40 % (421)Termination reason: Unknown
% 16.88/3.40 % (421)Termination phase: Saturation
% 16.88/3.40
% 16.88/3.40 % (421)Memory used [KB]: 12025
% 16.88/3.40 % (421)Time elapsed: 0.296 s
% 16.88/3.40 % (421)Instructions burned: 669 (million)
% 16.88/3.40 % (421)------------------------------
% 16.88/3.40 % (421)------------------------------
% 16.88/3.41 % (428)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_32676 for (2976ds/316Mi)
% 16.88/3.42 % (427)Instruction limit reached!
% 16.88/3.42 % (427)------------------------------
% 16.88/3.42 % (427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.88/3.42 % (427)Termination reason: Unknown
% 16.88/3.42 % (427)Termination phase: Saturation
% 16.88/3.42
% 16.88/3.42 % (427)Memory used [KB]: 1663
% 16.88/3.42 % (427)Time elapsed: 0.034 s
% 16.88/3.42 % (427)Instructions burned: 70 (million)
% 16.88/3.42 % (427)------------------------------
% 16.88/3.42 % (427)------------------------------
% 16.88/3.43 % (429)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_32676 for (2976ds/932Mi)
% 17.53/3.51 % (425)Instruction limit reached!
% 17.53/3.51 % (425)------------------------------
% 17.53/3.51 % (425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.53/3.51 % (425)Termination reason: Unknown
% 17.53/3.51 % (425)Termination phase: Saturation
% 17.53/3.51
% 17.53/3.51 % (425)Memory used [KB]: 6524
% 17.53/3.51 % (425)Time elapsed: 0.179 s
% 17.53/3.51 % (425)Instructions burned: 371 (million)
% 17.53/3.51 % (425)------------------------------
% 17.53/3.51 % (425)------------------------------
% 17.53/3.52 % (430)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_32676 for (2975ds/4714Mi)
% 17.53/3.55 % (428)Instruction limit reached!
% 17.53/3.55 % (428)------------------------------
% 17.53/3.55 % (428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.53/3.55 % (428)Termination reason: Unknown
% 17.53/3.55 % (428)Termination phase: Saturation
% 17.53/3.55
% 17.53/3.55 % (428)Memory used [KB]: 6908
% 17.53/3.55 % (428)Time elapsed: 0.137 s
% 17.53/3.55 % (428)Instructions burned: 317 (million)
% 17.53/3.55 % (428)------------------------------
% 17.53/3.55 % (428)------------------------------
% 17.53/3.56 % (431)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_32676 for (2974ds/8250Mi)
% 18.78/3.87 % (429)Instruction limit reached!
% 18.78/3.87 % (429)------------------------------
% 18.78/3.87 % (429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.78/3.87 % (429)Termination reason: Unknown
% 18.78/3.87 % (429)Termination phase: Saturation
% 18.78/3.87
% 18.78/3.87 % (429)Memory used [KB]: 9210
% 18.78/3.87 % (429)Time elapsed: 0.437 s
% 18.78/3.87 % (429)Instructions burned: 933 (million)
% 18.78/3.87 % (429)------------------------------
% 18.78/3.87 % (429)------------------------------
% 18.78/3.89 % (432)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_32676 for (2971ds/770Mi)
% 21.56/4.07 % (404)Instruction limit reached!
% 21.56/4.07 % (404)------------------------------
% 21.56/4.07 % (404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.56/4.07 % (404)Termination reason: Unknown
% 21.56/4.07 % (404)Termination phase: Saturation
% 21.56/4.07
% 21.56/4.07 % (404)Memory used [KB]: 9466
% 21.56/4.07 % (404)Time elapsed: 1.754 s
% 21.56/4.07 % (404)Instructions burned: 4436 (million)
% 21.56/4.07 % (404)------------------------------
% 21.56/4.07 % (404)------------------------------
% 21.56/4.09 % (433)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_32676 for (2969ds/794Mi)
% 22.77/4.22 % (432)Instruction limit reached!
% 22.77/4.22 % (432)------------------------------
% 22.77/4.22 % (432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.77/4.22 % (432)Termination reason: Unknown
% 22.77/4.22 % (432)Termination phase: Saturation
% 22.77/4.22
% 22.77/4.22 % (432)Memory used [KB]: 7164
% 22.77/4.22 % (432)Time elapsed: 0.332 s
% 22.77/4.22 % (432)Instructions burned: 770 (million)
% 22.77/4.22 % (432)------------------------------
% 22.77/4.22 % (432)------------------------------
% 22.77/4.23 % (426)Instruction limit reached!
% 22.77/4.23 % (426)------------------------------
% 22.77/4.23 % (426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.77/4.23 % (426)Termination reason: Unknown
% 22.77/4.23 % (426)Termination phase: Saturation
% 22.77/4.23
% 22.77/4.23 % (426)Memory used [KB]: 7803
% 22.77/4.23 % (426)Time elapsed: 0.839 s
% 22.77/4.23 % (426)Instructions burned: 1828 (million)
% 22.77/4.23 % (426)------------------------------
% 22.77/4.23 % (426)------------------------------
% 22.77/4.24 % (435)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_32676 for (2968ds/464Mi)
% 22.77/4.24 % (436)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_32676 for (2968ds/1376Mi)
% 23.64/4.42 % (407)Instruction limit reached!
% 23.64/4.42 % (407)------------------------------
% 23.64/4.42 % (407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.64/4.42 % (407)Termination reason: Unknown
% 23.64/4.42 % (407)Termination phase: Saturation
% 23.64/4.42
% 23.64/4.42 % (407)Memory used [KB]: 8955
% 23.64/4.42 % (407)Time elapsed: 2.006 s
% 23.64/4.42 % (407)Instructions burned: 5208 (million)
% 23.64/4.42 % (407)------------------------------
% 23.64/4.42 % (407)------------------------------
% 23.64/4.43 % (437)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_32676 for (2966ds/906Mi)
% 23.64/4.43 % (433)Instruction limit reached!
% 23.64/4.43 % (433)------------------------------
% 23.64/4.43 % (433)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.64/4.43 % (433)Termination reason: Unknown
% 23.64/4.43 % (433)Termination phase: Saturation
% 23.64/4.43
% 23.64/4.43 % (433)Memory used [KB]: 2942
% 23.64/4.43 % (433)Time elapsed: 0.340 s
% 23.64/4.43 % (433)Instructions burned: 795 (million)
% 23.64/4.43 % (433)------------------------------
% 23.64/4.43 % (433)------------------------------
% 23.64/4.45 % (435)Instruction limit reached!
% 23.64/4.45 % (435)------------------------------
% 23.64/4.45 % (435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.64/4.45 % (435)Termination reason: Unknown
% 23.64/4.45 % (435)Termination phase: Saturation
% 23.64/4.45
% 23.64/4.45 % (435)Memory used [KB]: 6396
% 23.64/4.45 % (435)Time elapsed: 0.210 s
% 23.64/4.45 % (435)Instructions burned: 464 (million)
% 23.64/4.45 % (435)------------------------------
% 23.64/4.45 % (435)------------------------------
% 23.64/4.46 % (440)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_32676 for (2966ds/434Mi)
% 23.64/4.46 % (441)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_32676 for (2966ds/865Mi)
% 24.56/4.56 % (409)Instruction limit reached!
% 24.56/4.56 % (409)------------------------------
% 24.56/4.56 % (409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.56/4.56 % (409)Termination reason: Unknown
% 24.56/4.56 % (409)Termination phase: Saturation
% 24.56/4.56
% 24.56/4.56 % (409)Memory used [KB]: 10618
% 24.56/4.56 % (409)Time elapsed: 1.986 s
% 24.56/4.56 % (409)Instructions burned: 4350 (million)
% 24.56/4.56 % (409)------------------------------
% 24.56/4.56 % (409)------------------------------
% 24.56/4.57 % (442)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_32676 for (2964ds/593Mi)
% 24.82/4.63 % (440)Instruction limit reached!
% 24.82/4.63 % (440)------------------------------
% 24.82/4.63 % (440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.82/4.63 % (440)Termination reason: Unknown
% 24.82/4.63 % (440)Termination phase: Saturation
% 24.82/4.63
% 24.82/4.63 % (440)Memory used [KB]: 6652
% 24.82/4.63 % (440)Time elapsed: 0.185 s
% 24.82/4.63 % (440)Instructions burned: 434 (million)
% 24.82/4.63 % (440)------------------------------
% 24.82/4.63 % (440)------------------------------
% 24.82/4.65 % (444)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_32676 for (2964ds/443Mi)
% 25.20/4.79 % (436)Instruction limit reached!
% 25.20/4.79 % (436)------------------------------
% 25.20/4.79 % (436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.20/4.79 % (436)Termination reason: Unknown
% 25.20/4.79 % (436)Termination phase: Saturation
% 25.20/4.79
% 25.20/4.79 % (436)Memory used [KB]: 8827
% 25.20/4.79 % (436)Time elapsed: 0.550 s
% 25.20/4.79 % (436)Instructions burned: 1377 (million)
% 25.20/4.79 % (436)------------------------------
% 25.20/4.79 % (436)------------------------------
% 25.96/4.81 % (445)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_32676 for (2962ds/594Mi)
% 25.96/4.83 % (442)Instruction limit reached!
% 25.96/4.83 % (442)------------------------------
% 25.96/4.83 % (442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.96/4.83 % (442)Termination reason: Unknown
% 25.96/4.83 % (442)Termination phase: Saturation
% 25.96/4.83
% 25.96/4.83 % (442)Memory used [KB]: 7291
% 25.96/4.83 % (442)Time elapsed: 0.262 s
% 25.96/4.83 % (442)Instructions burned: 593 (million)
% 25.96/4.83 % (442)------------------------------
% 25.96/4.83 % (442)------------------------------
% 25.96/4.83 % (444)Instruction limit reached!
% 25.96/4.83 % (444)------------------------------
% 25.96/4.83 % (444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.96/4.83 % (444)Termination reason: Unknown
% 25.96/4.83 % (444)Termination phase: Saturation
% 25.96/4.83
% 25.96/4.83 % (444)Memory used [KB]: 6652
% 25.96/4.83 % (444)Time elapsed: 0.191 s
% 25.96/4.83 % (444)Instructions burned: 443 (million)
% 25.96/4.83 % (444)------------------------------
% 25.96/4.83 % (444)------------------------------
% 25.96/4.84 % (441)Instruction limit reached!
% 25.96/4.84 % (441)------------------------------
% 25.96/4.84 % (441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.96/4.84 % (441)Termination reason: Unknown
% 25.96/4.84 % (441)Termination phase: Saturation
% 25.96/4.84
% 25.96/4.84 % (441)Memory used [KB]: 8699
% 25.96/4.84 % (441)Time elapsed: 0.383 s
% 25.96/4.84 % (441)Instructions burned: 865 (million)
% 25.96/4.84 % (441)------------------------------
% 25.96/4.84 % (441)------------------------------
% 25.96/4.84 % (447)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_32676 for (2962ds/327Mi)
% 25.96/4.85 % (449)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_32676 for (2962ds/5411Mi)
% 25.96/4.86 % (437)Instruction limit reached!
% 25.96/4.86 % (437)------------------------------
% 25.96/4.86 % (437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.96/4.86 % (437)Termination reason: Unknown
% 25.96/4.86 % (437)Termination phase: Saturation
% 25.96/4.86
% 25.96/4.86 % (437)Memory used [KB]: 9466
% 25.96/4.86 % (437)Time elapsed: 0.443 s
% 25.96/4.86 % (437)Instructions burned: 906 (million)
% 25.96/4.86 % (437)------------------------------
% 25.96/4.86 % (437)------------------------------
% 25.96/4.87 % (450)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_32676 for (2962ds/1762Mi)
% 25.96/4.88 % (451)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_32676 for (2961ds/96Mi)
% 27.44/4.92 % (451)Instruction limit reached!
% 27.44/4.92 % (451)------------------------------
% 27.44/4.92 % (451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.44/4.92 % (451)Termination reason: Unknown
% 27.44/4.92 % (451)Termination phase: Saturation
% 27.44/4.92
% 27.44/4.92 % (451)Memory used [KB]: 5884
% 27.44/4.92 % (451)Time elapsed: 0.049 s
% 27.44/4.92 % (451)Instructions burned: 97 (million)
% 27.44/4.92 % (451)------------------------------
% 27.44/4.92 % (451)------------------------------
% 27.44/4.94 % (452)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_32676 for (2961ds/503Mi)
% 27.44/4.99 % (447)Instruction limit reached!
% 27.44/4.99 % (447)------------------------------
% 27.44/4.99 % (447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.44/4.99 % (447)Termination reason: Unknown
% 27.44/4.99 % (447)Termination phase: Saturation
% 27.44/4.99
% 27.44/4.99 % (447)Memory used [KB]: 6780
% 27.44/4.99 % (447)Time elapsed: 0.150 s
% 27.44/4.99 % (447)Instructions burned: 329 (million)
% 27.44/4.99 % (447)------------------------------
% 27.44/4.99 % (447)------------------------------
% 27.44/5.01 % (453)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_32676 for (2960ds/90Mi)
% 28.45/5.05 % (450)First to succeed.
% 28.45/5.06 % (450)Refutation found. Thanks to Tanya!
% 28.45/5.06 % SZS status Theorem for DTF2THF_32676
% 28.45/5.06 % SZS output start Proof for DTF2THF_32676
% 28.45/5.06 thf(type_def_5, type, a: $tType).
% 28.45/5.06 thf(func_def_0, type, a: $tType).
% 28.45/5.06 thf(func_def_1, type, cK: (a > $o) > a > $o).
% 28.45/5.06 thf(func_def_14, type, sP0: $o > $o).
% 28.45/5.06 thf(func_def_16, type, ph2: !>[X0: $tType]:(X0)).
% 28.45/5.06 thf(func_def_17, type, sK3: a).
% 28.45/5.06 thf(func_def_18, type, sK4: (a > $o) > a).
% 28.45/5.06 thf(func_def_19, type, sK5: a).
% 28.45/5.06 thf(func_def_20, type, sK6: a > $o).
% 28.45/5.06 thf(func_def_21, type, sK7: (a > $o) > a).
% 28.45/5.06 thf(func_def_22, type, sK8: (a > $o) > a).
% 28.45/5.06 thf(func_def_23, type, sK9: (a > $o) > (a > $o) > a).
% 28.45/5.06 thf(func_def_24, type, sK10: a).
% 28.45/5.06 thf(func_def_25, type, sK11: a > $o).
% 28.45/5.06 thf(f2976,plain,(
% 28.45/5.06 $false),
% 28.45/5.06 inference(trivial_inequality_removal,[status(thm)],[f2975])).
% 28.45/5.06 thf(f2975,plain,(
% 28.45/5.06 ($true = $false)),
% 28.45/5.06 inference(backward_demodulation,[status(thm)],[f477,f2974])).
% 28.45/5.06 thf(f2974,plain,(
% 28.45/5.06 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK6)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK6))) @ Y0)))))),
% 28.45/5.06 inference(trivial_inequality_removal,[status(thm)],[f2973])).
% 28.45/5.06 thf(f2973,plain,(
% 28.45/5.06 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK6)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK6))) @ Y0))))) | ($true = $false)),
% 28.45/5.06 inference(forward_demodulation,[status(thm)],[f2970,f2422])).
% 28.45/5.06 thf(f2422,plain,(
% 28.45/5.06 ($true = (cK @ (cK @ sK6) @ sK10))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f2418])).
% 28.45/5.06 thf(f2418,plain,(
% 28.45/5.06 ($true = ($true => (cK @ (cK @ sK6) @ sK10)))),
% 28.45/5.06 inference(superposition,[status(thm)],[f370,f2307])).
% 28.45/5.06 thf(f2307,plain,(
% 28.45/5.06 ($true = (cK @ sK6 @ sK10))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f2306])).
% 28.45/5.06 thf(f2306,plain,(
% 28.45/5.06 ($true = ($true => (cK @ sK6 @ sK10)))),
% 28.45/5.06 inference(superposition,[status(thm)],[f228,f2279])).
% 28.45/5.06 thf(f2279,plain,(
% 28.45/5.06 ($true = (sK6 @ sK10))),
% 28.45/5.06 inference(binary_proxy_clausification,[status(thm)],[f2277])).
% 28.45/5.06 thf(f2277,plain,(
% 28.45/5.06 (((sK6 @ sK10) => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK10) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))) = $false)),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f2274])).
% 28.45/5.06 thf(f2274,plain,(
% 28.45/5.06 (((^[Y0 : a]: ((sK6 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))) @ sK10) = $false)),
% 28.45/5.06 inference(sigma_clausification,[status(thm)],[f2273])).
% 28.45/5.06 thf(f2273,plain,(
% 28.45/5.06 ((!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $false)),
% 28.45/5.06 inference(trivial_inequality_removal,[status(thm)],[f2272])).
% 28.45/5.06 thf(f2272,plain,(
% 28.45/5.06 ((!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $false) | ($true = $false)),
% 28.45/5.06 inference(forward_demodulation,[status(thm)],[f2271,f180])).
% 28.45/5.06 thf(f180,plain,(
% 28.45/5.06 ($true = (sK6 @ sK5))),
% 28.45/5.06 inference(binary_proxy_clausification,[status(thm)],[f169])).
% 28.45/5.06 thf(f169,plain,(
% 28.45/5.06 ($true = ((sK6 @ sK5) & (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (cK @ sK6 @ Y0))))))),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f167])).
% 28.45/5.06 thf(f167,plain,(
% 28.45/5.06 ($true = ((^[Y0 : a > $o]: ((Y0 @ sK5) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))) @ sK6))),
% 28.45/5.06 inference(sigma_clausification,[status(thm)],[f147])).
% 28.45/5.06 thf(f147,plain,(
% 28.45/5.06 ($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK5) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))),
% 28.45/5.06 inference(binary_proxy_clausification,[status(thm)],[f144])).
% 28.45/5.06 thf(f144,plain,(
% 28.45/5.06 (((?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK5) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1))))))) => (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK5)) = $false)),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f142])).
% 28.45/5.06 thf(f142,plain,(
% 28.45/5.06 ($false = ((^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))) => (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))) @ sK5))),
% 28.45/5.06 inference(sigma_clausification,[status(thm)],[f126])).
% 28.45/5.06 thf(f126,plain,(
% 28.45/5.06 ($false = (!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))) => (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0)))))),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f125])).
% 28.45/5.06 thf(f125,plain,(
% 28.45/5.06 ((!! @ a @ (^[Y0 : a]: (((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0)))) = $false)),
% 28.45/5.06 inference(trivial_inequality_removal,[status(thm)],[f112])).
% 28.45/5.06 thf(f112,plain,(
% 28.45/5.06 ((!! @ a @ (^[Y0 : a]: (((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0)))) = $false) | ($true = $false)),
% 28.45/5.06 inference(superposition,[status(thm)],[f93,f38])).
% 28.45/5.06 thf(f38,plain,(
% 28.45/5.06 ( ! [X2 : a > $o,X1 : a > $o] : (($true = (!! @ a @ (^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0))))) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))))) )),
% 28.45/5.06 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 28.45/5.06 thf(f37,plain,(
% 28.45/5.06 ( ! [X2 : a > $o,X1 : a > $o] : (($true = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))) => (!! @ a @ (^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0))))))) )),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f35])).
% 28.45/5.06 thf(f35,plain,(
% 28.45/5.06 ( ! [X2 : a > $o,X1 : a > $o] : (($true = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ a @ (^[Y1 : a]: ((cK @ X1 @ Y1) => (cK @ Y0 @ Y1)))))) @ X2))) )),
% 28.45/5.06 inference(pi_clausification,[status(thm)],[f34])).
% 28.45/5.06 thf(f34,plain,(
% 28.45/5.06 ( ! [X1 : a > $o] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ a @ (^[Y1 : a]: ((cK @ X1 @ Y1) => (cK @ Y0 @ Y1))))))))) )),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f32])).
% 28.45/5.06 thf(f32,plain,(
% 28.45/5.06 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2)))))))) @ X1))) )),
% 28.45/5.06 inference(pi_clausification,[status(thm)],[f25])).
% 28.45/5.06 thf(f25,plain,(
% 28.45/5.06 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f24])).
% 28.45/5.06 thf(f24,plain,(
% 28.45/5.06 ($true = (~ (~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))))))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f23])).
% 28.45/5.06 thf(f23,plain,(
% 28.45/5.06 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => $false)))),
% 28.45/5.06 inference(backward_demodulation,[status(thm)],[f6,f22])).
% 28.45/5.06 thf(f22,plain,(
% 28.45/5.06 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0))))))))),
% 28.45/5.06 inference(trivial_inequality_removal,[status(thm)],[f21])).
% 28.45/5.06 thf(f21,plain,(
% 28.45/5.06 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))))))) | ($true = $false)),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f20])).
% 28.45/5.06 thf(f20,plain,(
% 28.45/5.06 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))))))) | ($true = (~ $true))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f14])).
% 28.45/5.06 thf(f14,plain,(
% 28.45/5.06 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))))))) | ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => $true)))),
% 28.45/5.06 inference(fool_paramodulation,[status(thm)],[f6])).
% 28.45/5.06 thf(f6,plain,(
% 28.45/5.06 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0))))))))))),
% 28.45/5.06 inference(cnf_transformation,[status(thm)],[f5])).
% 28.45/5.06 thf(f5,plain,(
% 28.45/5.06 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0))))))))))),
% 28.45/5.06 inference(fool_elimination,[status(thm)],[f4])).
% 28.45/5.06 thf(f4,plain,(
% 28.45/5.06 ~(! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : ((X1 @ X2) => (X0 @ X2)) => ! [X3 : a] : ((cK @ X1 @ X3) => (cK @ X0 @ X3))) => ! [X4 : a] : ((cK @ (^[X5 : a] : (? [X6 : a > $o] : (! [X7 : a] : ((X6 @ X7) => (cK @ X6 @ X7)) & (X6 @ X5)))) @ X4) => ? [X8 : a > $o] : ((X8 @ X4) & ! [X9 : a] : ((X8 @ X9) => (cK @ X8 @ X9)))))),
% 28.45/5.06 inference(rectify,[status(thm)],[f2])).
% 28.45/5.06 thf(f2,negated_conjecture,(
% 28.45/5.06 ~(! [X1 : a > $o,X0 : a > $o] : (! [X2 : a] : ((X0 @ X2) => (X1 @ X2)) => ! [X2 : a] : ((cK @ X0 @ X2) => (cK @ X1 @ X2))) => ! [X2 : a] : ((cK @ (^[X3 : a] : (? [X4 : a > $o] : (! [X5 : a] : ((X4 @ X5) => (cK @ X4 @ X5)) & (X4 @ X3)))) @ X2) => ? [X4 : a > $o] : ((X4 @ X2) & ! [X3 : a] : ((X4 @ X3) => (cK @ X4 @ X3)))))),
% 28.45/5.06 inference(negated_conjecture,[status(cth)],[f1])).
% 28.45/5.06 thf(f1,conjecture,(
% 28.45/5.06 ! [X1 : a > $o,X0 : a > $o] : (! [X2 : a] : ((X0 @ X2) => (X1 @ X2)) => ! [X2 : a] : ((cK @ X0 @ X2) => (cK @ X1 @ X2))) => ! [X2 : a] : ((cK @ (^[X3 : a] : (? [X4 : a > $o] : (! [X5 : a] : ((X4 @ X5) => (cK @ X4 @ X5)) & (X4 @ X3)))) @ X2) => ? [X4 : a > $o] : ((X4 @ X2) & ! [X3 : a] : ((X4 @ X3) => (cK @ X4 @ X3))))),
% 28.45/5.06 file('/export/starexec/sandbox2/tmp/tmp.oquwvPPY11/DTF2THF_32676.p',cTHM116_1S)).
% 28.45/5.06 thf(f93,plain,(
% 28.45/5.06 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (cK @ (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3))))))))) @ Y0)))))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f90])).
% 28.45/5.06 thf(f90,plain,(
% 28.45/5.06 (((!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (cK @ (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3))))))))) @ Y0)))) & $true) = $false)),
% 28.45/5.06 inference(superposition,[status(thm)],[f71,f49])).
% 28.45/5.06 thf(f49,plain,(
% 28.45/5.06 ($true = (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3))),
% 28.45/5.06 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 28.45/5.06 thf(f47,plain,(
% 28.45/5.06 (((cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3) => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))))) = $false)),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f44])).
% 28.45/5.06 thf(f44,plain,(
% 28.45/5.06 (((^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))))) @ sK3) = $false)),
% 28.45/5.06 inference(sigma_clausification,[status(thm)],[f22])).
% 28.45/5.06 thf(f71,plain,(
% 28.45/5.06 ( ! [X1 : a > $o] : ((((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (cK @ X1 @ Y0)))) & (X1 @ sK3)) = $false)) )),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f68])).
% 28.45/5.06 thf(f68,plain,(
% 28.45/5.06 ( ! [X1 : a > $o] : (($false = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))) @ X1))) )),
% 28.45/5.06 inference(pi_clausification,[status(thm)],[f58])).
% 28.45/5.06 thf(f58,plain,(
% 28.45/5.06 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3)))))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f57])).
% 28.45/5.06 thf(f57,plain,(
% 28.45/5.06 (($true => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))))) = $false)),
% 28.45/5.06 inference(backward_demodulation,[status(thm)],[f47,f49])).
% 28.45/5.06 thf(f2271,plain,(
% 28.45/5.06 ((sK6 @ sK5) = $false) | ((!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $false)),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f2270])).
% 28.45/5.06 thf(f2270,plain,(
% 28.45/5.06 ((sK6 @ sK5) = $false) | ($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => ((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0)))))),
% 28.45/5.06 inference(trivial_inequality_removal,[status(thm)],[f2156])).
% 28.45/5.06 thf(f2156,plain,(
% 28.45/5.06 ($true = $false) | ($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => ((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))))) | ((sK6 @ sK5) = $false)),
% 28.45/5.06 inference(superposition,[status(thm)],[f294,f156])).
% 28.45/5.06 thf(f156,plain,(
% 28.45/5.06 ((cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK5) = $false)),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f155])).
% 28.45/5.06 thf(f155,plain,(
% 28.45/5.06 ($false = ($true => (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK5)))),
% 28.45/5.06 inference(backward_demodulation,[status(thm)],[f144,f147])).
% 28.45/5.06 thf(f294,plain,(
% 28.45/5.06 ( ! [X0 : a,X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (X1 @ Y0)))) = $false) | ($true = (cK @ X1 @ X0)) | ($false = (sK6 @ X0))) )),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f277])).
% 28.45/5.06 thf(f277,plain,(
% 28.45/5.06 ( ! [X0 : a,X1 : a > $o] : (($false = (sK6 @ X0)) | (($true => (cK @ X1 @ X0)) = $true) | ((!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (X1 @ Y0)))) = $false)) )),
% 28.45/5.06 inference(superposition,[status(thm)],[f66,f249])).
% 28.45/5.06 thf(f249,plain,(
% 28.45/5.06 ( ! [X1 : a] : (($true = (cK @ sK6 @ X1)) | ((sK6 @ X1) = $false)) )),
% 28.45/5.06 inference(binary_proxy_clausification,[status(thm)],[f228])).
% 28.45/5.06 thf(f66,plain,(
% 28.45/5.06 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($true = ((cK @ X1 @ X3) => (cK @ X2 @ X3))) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))))) )),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f61])).
% 28.45/5.06 thf(f61,plain,(
% 28.45/5.06 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0))))) | ($true = ((^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0))) @ X3))) )),
% 28.45/5.06 inference(pi_clausification,[status(thm)],[f38])).
% 28.45/5.06 thf(f228,plain,(
% 28.45/5.06 ( ! [X1 : a] : (($true = ((sK6 @ X1) => (cK @ sK6 @ X1)))) )),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f220])).
% 28.45/5.06 thf(f220,plain,(
% 28.45/5.06 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((sK6 @ Y0) => (cK @ sK6 @ Y0))) @ X1))) )),
% 28.45/5.06 inference(pi_clausification,[status(thm)],[f192])).
% 28.45/5.06 thf(f192,plain,(
% 28.45/5.06 ($true = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (cK @ sK6 @ Y0)))))),
% 28.45/5.06 inference(trivial_inequality_removal,[status(thm)],[f189])).
% 28.45/5.06 thf(f189,plain,(
% 28.45/5.06 ($true = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (cK @ sK6 @ Y0))))) | ($true = $false)),
% 28.45/5.06 inference(backward_demodulation,[status(thm)],[f188,f180])).
% 28.45/5.06 thf(f188,plain,(
% 28.45/5.06 ((sK6 @ sK5) = $false) | ($true = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (cK @ sK6 @ Y0)))))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f181])).
% 28.45/5.06 thf(f181,plain,(
% 28.45/5.06 ($true = ($true & (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (cK @ sK6 @ Y0)))))) | ((sK6 @ sK5) = $false)),
% 28.45/5.06 inference(fool_paramodulation,[status(thm)],[f169])).
% 28.45/5.06 thf(f370,plain,(
% 28.45/5.06 ( ! [X1 : a] : (($true = ((cK @ sK6 @ X1) => (cK @ (cK @ sK6) @ X1)))) )),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f360])).
% 28.45/5.06 thf(f360,plain,(
% 28.45/5.06 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((cK @ sK6 @ Y0) => (cK @ (cK @ sK6) @ Y0))) @ X1))) )),
% 28.45/5.06 inference(pi_clausification,[status(thm)],[f229])).
% 28.45/5.06 thf(f229,plain,(
% 28.45/5.06 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ sK6 @ Y0) => (cK @ (cK @ sK6) @ Y0)))))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f224])).
% 28.45/5.06 thf(f224,plain,(
% 28.45/5.06 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((cK @ sK6 @ Y0) => (cK @ (cK @ sK6) @ Y0))))))),
% 28.45/5.06 inference(superposition,[status(thm)],[f37,f192])).
% 28.45/5.06 thf(f2970,plain,(
% 28.45/5.06 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK6)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK6))) @ Y0))))) | ($false = (cK @ (cK @ sK6) @ sK10))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f2916])).
% 28.45/5.06 thf(f2916,plain,(
% 28.45/5.06 ($false = ($true & (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK6)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK6))) @ Y0)))))) | ($false = (cK @ (cK @ sK6) @ sK10))),
% 28.45/5.06 inference(superposition,[status(thm)],[f2873,f518])).
% 28.45/5.06 thf(f518,plain,(
% 28.45/5.06 ( ! [X1 : a] : (($true = (cK @ (cK @ (cK @ sK6)) @ X1)) | ((cK @ (cK @ sK6) @ X1) = $false)) )),
% 28.45/5.06 inference(binary_proxy_clausification,[status(thm)],[f476])).
% 28.45/5.06 thf(f476,plain,(
% 28.45/5.06 ( ! [X1 : a] : (($true = ((cK @ (cK @ sK6) @ X1) => (cK @ (cK @ (cK @ sK6)) @ X1)))) )),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f462])).
% 28.45/5.06 thf(f462,plain,(
% 28.45/5.06 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ (cK @ (cK @ sK6)) @ Y0))) @ X1))) )),
% 28.45/5.06 inference(pi_clausification,[status(thm)],[f373])).
% 28.45/5.06 thf(f373,plain,(
% 28.45/5.06 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ (cK @ (cK @ sK6)) @ Y0)))))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f364])).
% 28.45/5.06 thf(f364,plain,(
% 28.45/5.06 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ (cK @ (cK @ sK6)) @ Y0))))))),
% 28.45/5.06 inference(superposition,[status(thm)],[f37,f229])).
% 28.45/5.06 thf(f2873,plain,(
% 28.45/5.06 ( ! [X1 : a > $o] : (($false = ((X1 @ sK10) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (cK @ X1 @ Y0))))))) )),
% 28.45/5.06 inference(beta_eta_normalization,[status(thm)],[f2870])).
% 28.45/5.06 thf(f2870,plain,(
% 28.45/5.06 ( ! [X1 : a > $o] : (($false = ((^[Y0 : a > $o]: ((Y0 @ sK10) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))) @ X1))) )),
% 28.45/5.06 inference(pi_clausification,[status(thm)],[f2284])).
% 28.45/5.06 thf(f2284,plain,(
% 28.45/5.06 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK10) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))),
% 28.45/5.06 inference(trivial_inequality_removal,[status(thm)],[f2283])).
% 28.45/5.06 thf(f2283,plain,(
% 28.45/5.06 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK10) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))) | ($true = $false)),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f2281])).
% 28.45/5.06 thf(f2281,plain,(
% 28.45/5.06 ($false = ((sK6 @ sK10) => $true)) | ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK10) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))),
% 28.45/5.06 inference(fool_paramodulation,[status(thm)],[f2277])).
% 28.45/5.06 thf(f477,plain,(
% 28.45/5.06 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK6)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK6))) @ Y0)))))),
% 28.45/5.06 inference(boolean_simplification,[status(thm)],[f466])).
% 28.45/5.06 thf(f466,plain,(
% 28.45/5.06 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK6)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK6))) @ Y0))))))),
% 28.45/5.06 inference(superposition,[status(thm)],[f37,f373])).
% 28.45/5.06 % SZS output end Proof for DTF2THF_32676
% 28.45/5.06 % (450)------------------------------
% 28.45/5.06 % (450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.45/5.06 % (450)Termination reason: Refutation
% 28.45/5.06
% 28.45/5.06 % (450)Memory used [KB]: 6268
% 28.45/5.06 % (450)Time elapsed: 0.215 s
% 28.45/5.06 % (450)Instructions burned: 470 (million)
% 28.45/5.06 % (450)------------------------------
% 28.45/5.06 % (450)------------------------------
% 28.45/5.06 % (305)Success in time 4.003 s
%------------------------------------------------------------------------------