%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO275^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:53:49 AM UTC 2026
% Result : Theorem 23.24s 4.46s
% Output : Refutation 23.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 1
% Syntax : Number of formulae : 60 ( 50 unt; 0 typ; 0 def)
% Number of atoms : 665 ( 74 equ; 0 cnn)
% Maximal formula atoms : 13 ( 11 avg)
% Number of connectives : 1510 ( 11 ~; 68 |; 62 &;1181 @)
% ( 3 <=>; 87 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 8 con; 0-2 aty)
% ( 98 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 222 ( 179 ^; 43 !; 0 ?; 222 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cS: $i > $i ).
thf(func_def_1,type,
cDOUBLE: $i > $i > $o ).
thf(func_def_2,type,
cHALF: $i > $i > $o ).
thf(func_def_18,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f576,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f575]) ).
thf(f575,plain,
$false = $true,
inference(boolean_simplification,[status(thm)],[f574]) ).
thf(f574,plain,
( $false
= ( $false
=> ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK7 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK7 ) ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f569,f549]) ).
thf(f549,plain,
( $false
= ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f548]) ).
thf(f548,plain,
( ( $false
= ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) )
| ( $false = $true ) ),
inference(boolean_simplification,[status(thm)],[f547]) ).
thf(f547,plain,
( ( $false
= ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) )
| ( ( ( ( cDOUBLE @ sK8 @ sK7 )
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) )
=> $true )
= $false ) ),
inference(boolean_simplification,[status(thm)],[f545]) ).
thf(f545,plain,
( ( ( ( ( cDOUBLE @ sK8 @ sK7 )
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) )
=> ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK7 ) ) )
| $true ) )
= $false )
| ( $false
= ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) ) ),
inference(superposition,[status(thm)],[f523,f69]) ).
thf(f69,plain,
! [X2: $i,X1: $i] :
( ( ( cDOUBLE @ ( cS @ X1 ) @ ( cS @ ( cS @ X2 ) ) )
= $true )
| ( ( cDOUBLE @ X1 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f68]) ).
thf(f68,plain,
! [X2: $i,X1: $i] :
( ( ( cDOUBLE @ X1 @ X2 )
=> ( cDOUBLE @ ( cS @ X1 ) @ ( cS @ ( cS @ X2 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f67]) ).
thf(f67,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( cDOUBLE @ X1 @ Y0 )
=> ( cDOUBLE @ ( cS @ X1 ) @ ( cS @ ( cS @ Y0 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f59]) ).
thf(f59,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( cDOUBLE @ X1 @ Y0 )
=> ( cDOUBLE @ ( cS @ X1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f53]) ).
thf(f53,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y2 @ ( cS @ c0 ) @ c0 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $false
= ( ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y2 @ ( cS @ c0 ) @ c0 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y1 @ Y0 )
=> ( ( cDOUBLE @ Y0 @ Y1 )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ~ ( ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y2 @ ( cS @ c0 ) @ c0 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y1 @ Y0 )
=> ( ( cDOUBLE @ Y0 @ Y1 )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ~ ( ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y2 @ ( cS @ c0 ) @ c0 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y0 @ Y1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y1 @ Y0 )
=> ( ( cDOUBLE @ Y0 @ Y1 )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: $i,X1: $i] :
( ( cDOUBLE @ X1 @ X0 )
=> ( cDOUBLE @ ( cS @ X1 ) @ ( cS @ ( cS @ X0 ) ) ) )
& ! [X2: $i,X3: $i] :
( ( cHALF @ X3 @ X2 )
<=> ! [X4: $i > $i > $o] :
( ( ( X4 @ ( cS @ c0 ) @ c0 )
& ! [X5: $i,X6: $i] :
( ( X4 @ X6 @ X5 )
=> ( X4 @ ( cS @ ( cS @ X6 ) ) @ ( cS @ X5 ) ) )
& ( X4 @ c0 @ c0 ) )
=> ( X4 @ X3 @ X2 ) ) )
& ( cDOUBLE @ c0 @ c0 ) )
=> ! [X7: $i,X8: $i] :
( ( cHALF @ X7 @ X8 )
=> ( ( cDOUBLE @ ( cS @ X8 ) @ ( cS @ X7 ) )
| ( cDOUBLE @ X8 @ X7 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X4: $i,X3: $i] :
( ( cDOUBLE @ X3 @ X4 )
=> ( cDOUBLE @ ( cS @ X3 ) @ ( cS @ ( cS @ X4 ) ) ) )
& ! [X1: $i,X0: $i] :
( ( cHALF @ X0 @ X1 )
<=> ! [X2: $i > $i > $o] :
( ( ( X2 @ ( cS @ c0 ) @ c0 )
& ! [X4: $i,X3: $i] :
( ( X2 @ X3 @ X4 )
=> ( X2 @ ( cS @ ( cS @ X3 ) ) @ ( cS @ X4 ) ) )
& ( X2 @ c0 @ c0 ) )
=> ( X2 @ X0 @ X1 ) ) )
& ( cDOUBLE @ c0 @ c0 ) )
=> ! [X0: $i,X1: $i] :
( ( cHALF @ X0 @ X1 )
=> ( ( cDOUBLE @ ( cS @ X1 ) @ ( cS @ X0 ) )
| ( cDOUBLE @ X1 @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( ! [X4: $i,X3: $i] :
( ( cDOUBLE @ X3 @ X4 )
=> ( cDOUBLE @ ( cS @ X3 ) @ ( cS @ ( cS @ X4 ) ) ) )
& ! [X1: $i,X0: $i] :
( ( cHALF @ X0 @ X1 )
<=> ! [X2: $i > $i > $o] :
( ( ( X2 @ ( cS @ c0 ) @ c0 )
& ! [X4: $i,X3: $i] :
( ( X2 @ X3 @ X4 )
=> ( X2 @ ( cS @ ( cS @ X3 ) ) @ ( cS @ X4 ) ) )
& ( X2 @ c0 @ c0 ) )
=> ( X2 @ X0 @ X1 ) ) )
& ( cDOUBLE @ c0 @ c0 ) )
=> ! [X0: $i,X1: $i] :
( ( cHALF @ X0 @ X1 )
=> ( ( cDOUBLE @ ( cS @ X1 ) @ ( cS @ X0 ) )
| ( cDOUBLE @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UuU3H8XOJg/DTF2THF_15244.p',cTHM300A) ).
thf(f523,plain,
( $false
= ( ( ( cDOUBLE @ sK8 @ sK7 )
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) )
=> ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK7 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK7 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f522]) ).
thf(f522,plain,
( ( ^ [Y0: $i] :
( ( ( cDOUBLE @ Y0 @ sK7 )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ sK7 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ sK7 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ sK7 ) ) ) ) ) )
@ sK8 )
= $false ),
inference(sigma_clausification,[status(thm)],[f495]) ).
thf(f495,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cDOUBLE @ Y0 @ sK7 )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ sK7 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ sK7 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ sK7 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f491]) ).
thf(f491,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
@ sK7 ) ),
inference(sigma_clausification,[status(thm)],[f471]) ).
thf(f471,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f292]) ).
thf(f292,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f291]) ).
thf(f291,plain,
( ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) )
& $true ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f290]) ).
thf(f290,plain,
( ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ ( cS @ c0 ) )
| $true ) ) )
= $true ),
inference(forward_demodulation,[status(thm)],[f289,f97]) ).
thf(f97,plain,
( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f92]) ).
thf(f92,plain,
( ( $true
=> ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) )
= $true ),
inference(superposition,[status(thm)],[f68,f75]) ).
thf(f75,plain,
( ( cDOUBLE @ c0 @ c0 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
thf(f40,plain,
( ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y2 @ ( cS @ c0 ) @ c0 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f9]) ).
thf(f289,plain,
( ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ ( cS @ c0 ) )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f288]) ).
thf(f288,plain,
( ( ~ ( $true
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ ( cS @ c0 ) )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f287]) ).
thf(f287,plain,
( ( ~ ( ( $true
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ ( cS @ c0 ) )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) ) ) )
= $true ),
inference(forward_demodulation,[status(thm)],[f268,f75]) ).
thf(f268,plain,
( ( ~ ( ( ( cDOUBLE @ c0 @ c0 )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ ( cS @ c0 ) )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f267]) ).
thf(f267,plain,
( ( ( ( ( cDOUBLE @ c0 @ c0 )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ Y1 @ Y0 )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) ) )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ ( cS @ c0 ) )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) ) )
=> $false )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f185]) ).
thf(f185,plain,
( ( ( ( ^ [Y0: $i,Y1: $i] :
( ( ^ [Y2: $i,Y3: $i] :
( cDOUBLE
@ ( ^ [Y4: $i,Y5: $i] : Y5
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 )
| ( ^ [Y2: $i,Y3: $i] :
( cDOUBLE
@ ( ^ [Y4: $i,Y5: $i] :
( cS
@ ( ^ [Y6: $i,Y7: $i] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] :
( cS
@ ( ^ [Y6: $i,Y7: $i] : Y6
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ c0
@ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ^ [Y2: $i,Y3: $i] :
( ( ^ [Y4: $i,Y5: $i] :
( cDOUBLE
@ ( ^ [Y6: $i,Y7: $i] : Y7
@ Y4
@ Y5 )
@ ( ^ [Y6: $i,Y7: $i] : Y6
@ Y4
@ Y5 ) )
@ Y2
@ Y3 )
| ( ^ [Y4: $i,Y5: $i] :
( cDOUBLE
@ ( ^ [Y6: $i,Y7: $i] :
( cS
@ ( ^ [Y8: $i,Y9: $i] : Y9
@ Y6
@ Y7 ) )
@ Y4
@ Y5 )
@ ( ^ [Y6: $i,Y7: $i] :
( cS
@ ( ^ [Y8: $i,Y9: $i] : Y8
@ Y6
@ Y7 ) )
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 )
=> ( ^ [Y2: $i,Y3: $i] :
( ( ^ [Y4: $i,Y5: $i] :
( cDOUBLE
@ ( ^ [Y6: $i,Y7: $i] : Y7
@ Y4
@ Y5 )
@ ( ^ [Y6: $i,Y7: $i] : Y6
@ Y4
@ Y5 ) )
@ Y2
@ Y3 )
| ( ^ [Y4: $i,Y5: $i] :
( cDOUBLE
@ ( ^ [Y6: $i,Y7: $i] :
( cS
@ ( ^ [Y8: $i,Y9: $i] : Y9
@ Y6
@ Y7 ) )
@ Y4
@ Y5 )
@ ( ^ [Y6: $i,Y7: $i] :
( cS
@ ( ^ [Y8: $i,Y9: $i] : Y8
@ Y6
@ Y7 ) )
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ ( cS @ ( cS @ Y0 ) )
@ ( cS @ Y1 ) ) ) ) )
& ( ^ [Y0: $i,Y1: $i] :
( ( ^ [Y2: $i,Y3: $i] :
( cDOUBLE
@ ( ^ [Y4: $i,Y5: $i] : Y5
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 )
| ( ^ [Y2: $i,Y3: $i] :
( cDOUBLE
@ ( ^ [Y4: $i,Y5: $i] :
( cS
@ ( ^ [Y6: $i,Y7: $i] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] :
( cS
@ ( ^ [Y6: $i,Y7: $i] : Y6
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ ( cS @ c0 )
@ c0 ) )
=> $false )
= $true ),
inference(superposition,[status(thm)],[f178,f23]) ).
thf(f23,plain,
( $false
= ( ( cDOUBLE @ sK2 @ sK3 )
| ( cDOUBLE @ ( cS @ sK2 ) @ ( cS @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
( $false
= ( ( cHALF @ sK3 @ sK2 )
=> ( ( cDOUBLE @ sK2 @ sK3 )
| ( cDOUBLE @ ( cS @ sK2 ) @ ( cS @ sK3 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
( ( ^ [Y0: $i] :
( ( cHALF @ Y0 @ sK2 )
=> ( ( cDOUBLE @ sK2 @ Y0 )
| ( cDOUBLE @ ( cS @ sK2 ) @ ( cS @ Y0 ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( cHALF @ Y0 @ sK2 )
=> ( ( cDOUBLE @ sK2 @ Y0 )
| ( cDOUBLE @ ( cS @ sK2 ) @ ( cS @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f12]) ).
thf(f12,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y1 @ Y0 )
=> ( ( cDOUBLE @ Y0 @ Y1 )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y1 @ Y0 )
=> ( ( cDOUBLE @ Y0 @ Y1 )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f178,plain,
! [X1: $i > $i > $o] :
( ( ( ( X1 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y0 @ Y1 )
=> ( X1 @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ Y1 ) ) ) ) )
& ( X1 @ ( cS @ c0 ) @ c0 ) )
=> ( X1 @ sK3 @ sK2 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f176]) ).
thf(f176,plain,
! [X1: $i > $i > $o] :
( ( ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ ( cS @ c0 ) @ c0 ) )
=> ( Y0 @ sK3 @ sK2 ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f163]) ).
thf(f163,plain,
( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ ( cS @ c0 ) @ c0 ) )
=> ( Y0 @ sK3 @ sK2 ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f162]) ).
thf(f162,plain,
( ( $true
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ ( cS @ c0 ) @ c0 ) )
=> ( Y0 @ sK3 @ sK2 ) ) ) )
= $true ),
inference(superposition,[status(thm)],[f149,f24]) ).
thf(f24,plain,
( ( cHALF @ sK3 @ sK2 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f149,plain,
! [X2: $i,X1: $i] :
( ( ( cHALF @ X1 @ X2 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ ( cS @ c0 ) @ c0 ) )
=> ( Y0 @ X1 @ X2 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f148]) ).
thf(f148,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( cHALF @ X1 @ Y0 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( Y1 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( Y1 @ ( cS @ c0 ) @ c0 ) )
=> ( Y1 @ X1 @ Y0 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f120]) ).
thf(f120,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( cHALF @ X1 @ Y0 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( Y1 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( Y1 @ ( cS @ c0 ) @ c0 ) )
=> ( Y1 @ X1 @ Y0 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f114]) ).
thf(f114,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y2 @ ( cS @ c0 ) @ c0 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f74]) ).
thf(f74,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
= ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y2 @ ( cS @ c0 ) @ c0 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
thf(f569,plain,
( ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) )
=> ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK7 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK7 ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[status(thm)],[f557]) ).
thf(f557,plain,
( $false
= ( ( $false
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) )
=> ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK7 ) ) )
| ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK7 ) ) ) ) ) ) ),
inference(superposition,[status(thm)],[f523,f552]) ).
thf(f552,plain,
( ( cDOUBLE @ sK8 @ sK7 )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f551]) ).
thf(f551,plain,
( ( $false = $true )
| ( ( cDOUBLE @ sK8 @ sK7 )
= $false ) ),
inference(boolean_simplification,[status(thm)],[f550]) ).
thf(f550,plain,
( ( ( cDOUBLE @ sK8 @ sK7 )
= $false )
| ( ( ( ( cDOUBLE @ sK8 @ sK7 )
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) )
=> $true )
= $false ) ),
inference(boolean_simplification,[status(thm)],[f546]) ).
thf(f546,plain,
( ( ( ( ( cDOUBLE @ sK8 @ sK7 )
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK7 ) ) )
=> ( $true
| ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK7 ) ) ) ) ) )
= $false )
| ( ( cDOUBLE @ sK8 @ sK7 )
= $false ) ),
inference(superposition,[status(thm)],[f523,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO275^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.32 % Computer : n001.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue Feb 24 14:28:05 EST 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.42 ---- Original DTF file ---
% 0.16/0.42 thf(spec,logic,$$dhol).
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 % File : SYO275^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.42 % Domain : Syntactic
% 0.16/0.42 % Problem : TPS problem THM300A
% 0.16/0.42 % Version : Especial.
% 0.16/0.42 % English :
% 0.16/0.42
% 0.16/0.42 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.42 % Source : [Bro09]
% 0.16/0.42 % Names : tps_0483 [Bro09]
% 0.16/0.42 % : THM300A [TPS]
% 0.16/0.42
% 0.16/0.42 % Status : Theorem
% 0.16/0.42 % Rating : 0.92 v9.1.0, 0.88 v9.0.0, 1.00 v4.0.0
% 0.16/0.42 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.16/0.42 % Number of atoms : 7 ( 0 equ; 0 cnn)
% 0.16/0.42 % Maximal formula atoms : 7 ( 7 avg)
% 0.16/0.42 % Number of connectives : 44 ( 0 ~; 1 |; 4 &; 33 @)
% 0.16/0.42 % ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% 0.16/0.42 % Maximal formula depth : 17 ( 17 avg)
% 0.16/0.42 % Number of types : 2 ( 0 usr)
% 0.16/0.42 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.16/0.42 % Number of symbols : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.16/0.42 % Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% 0.16/0.42 % SPC : TH0_THM_NEQ_NAR
% 0.16/0.42
% 0.16/0.42 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.42 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.42 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.42 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 thf(cS,type,
% 0.16/0.42 cS: $i > $i ).
% 0.16/0.42
% 0.16/0.42 thf(cDOUBLE,type,
% 0.16/0.42 cDOUBLE: $i > $i > $o ).
% 0.16/0.42
% 0.16/0.42 thf(cHALF,type,
% 0.16/0.42 cHALF: $i > $i > $o ).
% 0.16/0.42
% 0.16/0.42 thf(c0,type,
% 0.16/0.42 c0: $i ).
% 0.16/0.42
% 0.16/0.42 thf(cTHM300A,conjecture,
% 0.16/0.42 ( ( ! [Xu: $i,Xv: $i] :
% 0.16/0.42 ( ( cHALF @ Xu @ Xv )
% 0.16/0.42 <=> ! [Q: $i > $i > $o] :
% 0.16/0.42 ( ( ( Q @ c0 @ c0 )
% 0.16/0.42 & ( Q @ ( cS @ c0 ) @ c0 )
% 0.16/0.42 & ! [Xx: $i,Xy: $i] :
% 0.16/0.42 ( ( Q @ Xx @ Xy )
% 0.16/0.42 => ( Q @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) ) )
% 0.16/0.42 => ( Q @ Xu @ Xv ) ) )
% 0.16/0.42 & ( cDOUBLE @ c0 @ c0 )
% 0.16/0.42 & ! [Xx: $i,Xy: $i] :
% 0.16/0.42 ( ( cDOUBLE @ Xx @ Xy )
% 0.16/0.42 => ( cDOUBLE @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) ) )
% 0.16/0.42 => ! [Xu: $i,Xv: $i] :
% 0.16/0.42 ( ( cHALF @ Xu @ Xv )
% 0.16/0.42 => ( ( cDOUBLE @ Xv @ Xu )
% 0.16/0.42 | ( cDOUBLE @ ( cS @ Xv ) @ ( cS @ Xu ) ) ) ) ) ).
% 0.16/0.42
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 ------------------------
% 1.12/1.11 ---- Embedded in THF ---
% 1.12/1.11 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.12/1.11 %%% Generated on Tue Feb 24 14:28:06 EST 2026
% 1.12/1.11 %%% using '$$dhol' embedding, version 1.3.0.
% 1.12/1.11 %%% Logic specification used:
% 1.12/1.11 %%% thf(spec, logic, $$dhol).
% 1.12/1.11
% 1.12/1.11 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.UuU3H8XOJg/DTF2DTF15244.p
% See solution above
% 1.12/1.11 ------------------------
% 1.12/1.12 ---- Cleaned THF ---
% 1.12/1.12 thf(cS,type,
% 1.12/1.12 cS: $i > $i ).
% 1.12/1.12
% 1.12/1.12 thf(cDOUBLE,type,
% 1.12/1.12 cDOUBLE: $i > $i > $o ).
% 1.12/1.12
% 1.12/1.12 thf(cHALF,type,
% 1.12/1.12 cHALF: $i > $i > $o ).
% 1.12/1.12
% 1.12/1.12 thf(c0,type,
% 1.12/1.12 c0: $i ).
% 1.12/1.12
% 1.12/1.12 thf(cTHM300A,conjecture,
% 1.12/1.12 ( ( ! [Xu: $i,Xv: $i] :
% 1.12/1.12 ( ( cHALF @ Xu @ Xv )
% 1.12/1.12 <=> ! [Q: $i > $i > $o] :
% 1.12/1.12 ( ( ( Q @ c0 @ c0 )
% 1.12/1.12 & ( Q @ ( cS @ c0 ) @ c0 )
% 1.12/1.12 & ! [Xx: $i,Xy: $i] :
% 1.12/1.12 ( ( Q @ Xx @ Xy )
% 1.12/1.12 => ( Q @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) ) )
% 1.12/1.12 => ( Q @ Xu @ Xv ) ) )
% 1.12/1.12 & ( cDOUBLE @ c0 @ c0 )
% 1.12/1.12 & ! [Xx: $i,Xy: $i] :
% 1.12/1.12 ( ( cDOUBLE @ Xx @ Xy )
% 1.12/1.12 => ( cDOUBLE @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) ) )
% 1.12/1.12 => ! [Xu: $i,Xv: $i] :
% 1.12/1.12 ( ( cHALF @ Xu @ Xv )
% 1.12/1.12 => ( ( cDOUBLE @ Xv @ Xu )
% 1.12/1.12 | ( cDOUBLE @ ( cS @ Xv ) @ ( cS @ Xu ) ) ) ) ) ).
% 1.12/1.12 ------------------------
% 1.32/1.13 % (15343)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_15244 for (3000ds/183Mi)
% 1.32/1.14 % (15344)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_15244 for (3000ds/4Mi)
% 1.32/1.14 % (15345)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_15244 for (3000ds/27Mi)
% 1.32/1.14 % (15346)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_15244 for (3000ds/2Mi)
% 1.32/1.14 % (15348)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_15244 for (3000ds/275Mi)
% 1.32/1.14 % (15347)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_15244 for (3000ds/2Mi)
% 1.32/1.14 % (15349)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_15244 for (3000ds/18Mi)
% 1.32/1.14 % (15346)Instruction limit reached!
% 1.32/1.14 % (15346)------------------------------
% 1.32/1.14 % (15346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.14 % (15346)Termination reason: Unknown
% 1.32/1.14 % (15347)Instruction limit reached!
% 1.32/1.14 % (15347)------------------------------
% 1.32/1.14 % (15347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.14 % (15347)Termination reason: Unknown
% 1.32/1.14 % (15347)Termination phase: shuffling
% 1.32/1.14
% 1.32/1.14 % (15347)Memory used [KB]: 895
% 1.32/1.14 % (15347)Time elapsed: 0.002 s
% 1.32/1.14 % (15347)Instructions burned: 2 (million)
% 1.32/1.14 % (15347)------------------------------
% 1.32/1.14 % (15347)------------------------------
% 1.32/1.14 % (15346)Termination phase: Naming
% 1.32/1.14
% 1.32/1.14 % (15346)Memory used [KB]: 895
% 1.32/1.14 % (15346)Time elapsed: 0.002 s
% 1.32/1.14 % (15346)Instructions burned: 2 (million)
% 1.32/1.14 % (15346)------------------------------
% 1.32/1.14 % (15346)------------------------------
% 1.32/1.14 % (15344)Instruction limit reached!
% 1.32/1.14 % (15344)------------------------------
% 1.32/1.14 % (15344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.14 % (15344)Termination reason: Unknown
% 1.32/1.14 % (15344)Termination phase: Saturation
% 1.32/1.14
% 1.32/1.14 % (15344)Memory used [KB]: 5500
% 1.32/1.14 % (15344)Time elapsed: 0.004 s
% 1.32/1.14 % (15344)Instructions burned: 5 (million)
% 1.32/1.14 % (15344)------------------------------
% 1.32/1.14 % (15344)------------------------------
% 1.32/1.15 % (15349)Instruction limit reached!
% 1.32/1.15 % (15349)------------------------------
% 1.32/1.15 % (15349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.15 % (15349)Termination reason: Unknown
% 1.32/1.15 % (15349)Termination phase: Saturation
% 1.32/1.15
% 1.32/1.15 % (15349)Memory used [KB]: 5628
% 1.32/1.15 % (15349)Time elapsed: 0.011 s
% 1.32/1.15 % (15349)Instructions burned: 19 (million)
% 1.32/1.15 % (15349)------------------------------
% 1.32/1.15 % (15349)------------------------------
% 1.32/1.15 % (15345)Instruction limit reached!
% 1.32/1.15 % (15345)------------------------------
% 1.32/1.15 % (15345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.15 % (15345)Termination reason: Unknown
% 1.32/1.15 % (15345)Termination phase: Saturation
% 1.32/1.15
% 1.32/1.15 % (15345)Memory used [KB]: 5628
% 1.32/1.15 % (15345)Time elapsed: 0.016 s
% 1.32/1.15 % (15345)Instructions burned: 28 (million)
% 1.32/1.15 % (15345)------------------------------
% 1.32/1.15 % (15345)------------------------------
% 1.32/1.15 % (15351)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_15244 for (2999ds/37Mi)
% 1.32/1.15 % (15350)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/3Mi)
% 1.32/1.15 % (15350)Instruction limit reached!
% 1.32/1.15 % (15350)------------------------------
% 1.32/1.15 % (15350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.15 % (15350)Termination reason: Unknown
% 1.32/1.15 % (15350)Termination phase: Saturation
% 1.32/1.15
% 1.32/1.15 % (15350)Memory used [KB]: 5500
% 1.32/1.15 % (15350)Time elapsed: 0.003 s
% 1.32/1.15 % (15350)Instructions burned: 3 (million)
% 1.32/1.15 % (15350)------------------------------
% 1.32/1.15 % (15350)------------------------------
% 1.32/1.15 % (15352)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_15244 for (2999ds/15Mi)
% 1.32/1.16 % (15353)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_15244 for (2999ds/3Mi)
% 1.32/1.16 % (15352)Instruction limit reached!
% 1.32/1.16 % (15352)------------------------------
% 1.32/1.16 % (15352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.16 % (15352)Termination reason: Unknown
% 1.32/1.16 % (15352)Termination phase: Saturation
% 1.32/1.16
% 1.32/1.16 % (15352)Memory used [KB]: 5628
% 1.32/1.16 % (15352)Time elapsed: 0.009 s
% 1.32/1.16 % (15352)Instructions burned: 15 (million)
% 1.32/1.16 % (15352)------------------------------
% 1.32/1.16 % (15352)------------------------------
% 1.32/1.16 % (15353)Instruction limit reached!
% 1.32/1.16 % (15353)------------------------------
% 1.32/1.16 % (15353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.16 % (15353)Termination reason: Unknown
% 1.32/1.16 % (15353)Termination phase: Saturation
% 1.32/1.16
% 1.32/1.16 % (15353)Memory used [KB]: 5500
% 1.32/1.16 % (15353)Time elapsed: 0.003 s
% 1.32/1.16 % (15353)Instructions burned: 3 (million)
% 1.32/1.16 % (15353)------------------------------
% 1.32/1.16 % (15353)------------------------------
% 1.32/1.17 % (15354)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_15244 for (2999ds/1041Mi)
% 1.32/1.17 % (15355)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/7Mi)
% 1.32/1.17 % (15351)Instruction limit reached!
% 1.32/1.17 % (15351)------------------------------
% 1.32/1.17 % (15351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.17 % (15351)Termination reason: Unknown
% 1.32/1.17 % (15351)Termination phase: Saturation
% 1.32/1.17
% 1.32/1.17 % (15351)Memory used [KB]: 5884
% 1.32/1.17 % (15351)Time elapsed: 0.019 s
% 1.32/1.17 % (15351)Instructions burned: 38 (million)
% 1.32/1.17 % (15351)------------------------------
% 1.32/1.17 % (15351)------------------------------
% 1.32/1.17 % (15355)Instruction limit reached!
% 1.32/1.17 % (15355)------------------------------
% 1.32/1.17 % (15355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.17 % (15355)Termination reason: Unknown
% 1.32/1.17 % (15355)Termination phase: Saturation
% 1.32/1.17
% 1.32/1.17 % (15355)Memory used [KB]: 1023
% 1.32/1.17 % (15355)Time elapsed: 0.005 s
% 1.32/1.17 % (15355)Instructions burned: 7 (million)
% 1.32/1.17 % (15355)------------------------------
% 1.32/1.17 % (15355)------------------------------
% 1.32/1.18 % (15356)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/16Mi)
% 1.32/1.18 % (15357)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_15244 for (2999ds/3Mi)
% 1.32/1.18 % (15357)Instruction limit reached!
% 1.32/1.18 % (15357)------------------------------
% 1.32/1.18 % (15357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.18 % (15357)Termination reason: Unknown
% 1.32/1.18 % (15357)Termination phase: Twee Goal Transformation
% 1.32/1.18
% 1.32/1.18 % (15357)Memory used [KB]: 1023
% 1.32/1.18 % (15357)Time elapsed: 0.003 s
% 1.32/1.18 % (15357)Instructions burned: 4 (million)
% 1.32/1.18 % (15357)------------------------------
% 1.32/1.18 % (15357)------------------------------
% 1.32/1.18 % (15343)Instruction limit reached!
% 1.32/1.18 % (15343)------------------------------
% 1.32/1.18 % (15343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.18 % (15343)Termination reason: Unknown
% 1.32/1.18 % (15343)Termination phase: Saturation
% 1.32/1.18
% 1.32/1.18 % (15343)Memory used [KB]: 6524
% 1.32/1.18 % (15343)Time elapsed: 0.055 s
% 1.32/1.18 % (15343)Instructions burned: 183 (million)
% 1.32/1.18 % (15343)------------------------------
% 1.32/1.18 % (15343)------------------------------
% 1.32/1.19 % (15358)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_15244 for (2999ds/3Mi)
% 1.32/1.19 % (15356)Instruction limit reached!
% 1.32/1.19 % (15356)------------------------------
% 1.32/1.19 % (15356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.19 % (15356)Termination reason: Unknown
% 1.32/1.19 % (15356)Termination phase: Saturation
% 1.32/1.19
% 1.32/1.19 % (15356)Memory used [KB]: 5628
% 1.32/1.19 % (15356)Time elapsed: 0.010 s
% 1.32/1.19 % (15356)Instructions burned: 17 (million)
% 1.32/1.19 % (15356)------------------------------
% 1.32/1.19 % (15356)------------------------------
% 1.32/1.19 % (15358)Instruction limit reached!
% 1.32/1.19 % (15358)------------------------------
% 1.32/1.19 % (15358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.19 % (15358)Termination reason: Unknown
% 1.32/1.19 % (15358)Termination phase: Saturation
% 1.32/1.19
% 1.32/1.19 % (15358)Memory used [KB]: 1023
% 1.32/1.19 % (15358)Time elapsed: 0.003 s
% 1.32/1.19 % (15358)Instructions burned: 4 (million)
% 1.32/1.19 % (15358)------------------------------
% 1.32/1.19 % (15358)------------------------------
% 1.32/1.19 % (15359)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/7Mi)
% 1.32/1.19 % (15359)Instruction limit reached!
% 1.32/1.19 % (15359)------------------------------
% 1.32/1.19 % (15359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.19 % (15359)Termination reason: Unknown
% 1.32/1.19 % (15359)Termination phase: Saturation
% 1.32/1.19
% 1.32/1.19 % (15359)Memory used [KB]: 5500
% 1.32/1.19 % (15359)Time elapsed: 0.005 s
% 1.32/1.19 % (15359)Instructions burned: 8 (million)
% 1.32/1.19 % (15359)------------------------------
% 1.32/1.19 % (15359)------------------------------
% 1.32/1.19 % (15361)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/4Mi)
% 1.32/1.20 % (15361)Instruction limit reached!
% 1.32/1.20 % (15361)------------------------------
% 1.32/1.20 % (15361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.20 % (15361)Termination reason: Unknown
% 1.32/1.20 % (15361)Termination phase: Saturation
% 1.32/1.20
% 1.32/1.20 % (15361)Memory used [KB]: 5500
% 1.32/1.20 % (15361)Time elapsed: 0.003 s
% 1.32/1.20 % (15361)Instructions burned: 5 (million)
% 1.32/1.20 % (15361)------------------------------
% 1.32/1.20 % (15361)------------------------------
% 1.32/1.20 % (15360)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/3Mi)
% 1.32/1.20 % (15360)Instruction limit reached!
% 1.32/1.20 % (15360)------------------------------
% 1.32/1.20 % (15360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.20 % (15360)Termination reason: Unknown
% 1.32/1.20 % (15360)Termination phase: Saturation
% 1.32/1.20
% 1.32/1.20 % (15360)Memory used [KB]: 5500
% 1.32/1.20 % (15360)Time elapsed: 0.003 s
% 1.32/1.20 % (15360)Instructions burned: 4 (million)
% 1.32/1.20 % (15360)------------------------------
% 1.32/1.20 % (15360)------------------------------
% 1.32/1.20 % (15362)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/18Mi)
% 1.32/1.20 % (15363)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/710Mi)
% 1.32/1.21 % (15365)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_15244 for (2999ds/902Mi)
% 1.32/1.21 % (15364)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/6Mi)
% 1.32/1.21 % (15364)Instruction limit reached!
% 1.32/1.21 % (15364)------------------------------
% 1.32/1.21 % (15364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.21 % (15364)Termination reason: Unknown
% 1.32/1.21 % (15364)Termination phase: Saturation
% 1.32/1.21
% 1.32/1.21 % (15364)Memory used [KB]: 5500
% 1.32/1.21 % (15364)Time elapsed: 0.005 s
% 1.32/1.21 % (15364)Instructions burned: 7 (million)
% 1.32/1.21 % (15364)------------------------------
% 1.32/1.21 % (15364)------------------------------
% 1.32/1.21 % (15362)Instruction limit reached!
% 1.32/1.21 % (15362)------------------------------
% 1.32/1.21 % (15362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.21 % (15362)Termination reason: Unknown
% 1.32/1.21 % (15362)Termination phase: Saturation
% 1.32/1.21
% 1.32/1.21 % (15362)Memory used [KB]: 5628
% 1.32/1.21 % (15362)Time elapsed: 0.011 s
% 1.32/1.21 % (15362)Instructions burned: 19 (million)
% 1.32/1.21 % (15362)------------------------------
% 1.32/1.21 % (15362)------------------------------
% 1.32/1.21 % (15366)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_15244 for (2999ds/21Mi)
% 1.32/1.23 % (15366)Instruction limit reached!
% 1.32/1.23 % (15366)------------------------------
% 1.32/1.23 % (15366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.23 % (15366)Termination reason: Unknown
% 1.32/1.23 % (15366)Termination phase: Saturation
% 1.32/1.23
% 1.32/1.23 % (15366)Memory used [KB]: 5628
% 1.32/1.23 % (15366)Time elapsed: 0.013 s
% 1.32/1.23 % (15366)Instructions burned: 22 (million)
% 1.32/1.23 % (15366)------------------------------
% 1.32/1.23 % (15366)------------------------------
% 1.32/1.23 % (15367)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/5Mi)
% 1.32/1.23 % (15367)Instruction limit reached!
% 1.32/1.23 % (15367)------------------------------
% 1.32/1.23 % (15367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.23 % (15367)Termination reason: Unknown
% 1.32/1.23 % (15367)Termination phase: Saturation
% 1.32/1.23
% 1.32/1.23 % (15367)Memory used [KB]: 5500
% 1.32/1.23 % (15367)Time elapsed: 0.004 s
% 1.32/1.23 % (15367)Instructions burned: 6 (million)
% 1.32/1.23 % (15367)------------------------------
% 1.32/1.23 % (15367)------------------------------
% 1.32/1.23 % (15368)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_15244 for (2999ds/6Mi)
% 1.32/1.23 % (15368)Instruction limit reached!
% 1.32/1.23 % (15368)------------------------------
% 1.32/1.23 % (15368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.23 % (15368)Termination reason: Unknown
% 1.32/1.23 % (15368)Termination phase: Saturation
% 1.32/1.23
% 1.32/1.23 % (15368)Memory used [KB]: 5500
% 1.32/1.23 % (15368)Time elapsed: 0.004 s
% 1.32/1.23 % (15368)Instructions burned: 6 (million)
% 1.32/1.23 % (15368)------------------------------
% 1.32/1.23 % (15368)------------------------------
% 1.32/1.25 % (15369)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_15244 for (2999ds/377Mi)
% 1.32/1.25 % (15370)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_15244 for (2999ds/779Mi)
% 1.32/1.25 % (15371)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_15244 for (2998ds/19Mi)
% 1.32/1.26 % (15371)Instruction limit reached!
% 1.32/1.26 % (15371)------------------------------
% 1.32/1.26 % (15371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.26 % (15371)Termination reason: Unknown
% 1.32/1.26 % (15371)Termination phase: Saturation
% 1.32/1.26
% 1.32/1.26 % (15371)Memory used [KB]: 5628
% 1.32/1.26 % (15371)Time elapsed: 0.011 s
% 1.32/1.26 % (15371)Instructions burned: 20 (million)
% 1.32/1.26 % (15371)------------------------------
% 1.32/1.26 % (15371)------------------------------
% 1.32/1.26 % (15348)Instruction limit reached!
% 1.32/1.26 % (15348)------------------------------
% 1.32/1.26 % (15348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.26 % (15348)Termination reason: Unknown
% 1.32/1.26 % (15348)Termination phase: Saturation
% 1.32/1.26
% 1.32/1.26 % (15348)Memory used [KB]: 6012
% 1.32/1.26 % (15348)Time elapsed: 0.126 s
% 1.32/1.26 % (15348)Instructions burned: 275 (million)
% 1.32/1.26 % (15348)------------------------------
% 1.32/1.26 % (15348)------------------------------
% 1.32/1.28 % (15372)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_15244 for (2998ds/879Mi)
% 1.32/1.28 % (15373)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_15244 for (2998ds/17Mi)
% 1.32/1.28 % (15373)Instruction limit reached!
% 1.32/1.28 % (15373)------------------------------
% 1.32/1.28 % (15373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.28 % (15373)Termination reason: Unknown
% 1.32/1.28 % (15373)Termination phase: Saturation
% 1.32/1.28
% 1.32/1.28 % (15373)Memory used [KB]: 5628
% 1.32/1.28 % (15373)Time elapsed: 0.010 s
% 1.32/1.28 % (15373)Instructions burned: 17 (million)
% 1.32/1.28 % (15373)------------------------------
% 1.32/1.28 % (15373)------------------------------
% 1.32/1.30 % (15374)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_15244 for (2998ds/3Mi)
% 1.32/1.30 % (15374)Instruction limit reached!
% 1.32/1.30 % (15374)------------------------------
% 1.32/1.30 % (15374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.30 % (15374)Termination reason: Unknown
% 1.32/1.30 % (15374)Termination phase: Property scanning
% 1.32/1.30
% 1.32/1.30 % (15374)Memory used [KB]: 1023
% 1.32/1.30 % (15374)Time elapsed: 0.003 s
% 1.32/1.30 % (15374)Instructions burned: 3 (million)
% 1.32/1.30 % (15374)------------------------------
% 1.32/1.30 % (15374)------------------------------
% 1.32/1.32 % (15375)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_15244 for (2998ds/30Mi)
% 1.32/1.33 % (15375)Instruction limit reached!
% 1.32/1.33 % (15375)------------------------------
% 1.32/1.33 % (15375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.33 % (15375)Termination reason: Unknown
% 1.32/1.33 % (15375)Termination phase: Saturation
% 1.32/1.33
% 1.32/1.33 % (15375)Memory used [KB]: 5628
% 1.32/1.33 % (15375)Time elapsed: 0.016 s
% 1.32/1.33 % (15375)Instructions burned: 30 (million)
% 1.32/1.33 % (15375)------------------------------
% 1.32/1.33 % (15375)------------------------------
% 1.32/1.35 % (15376)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_15244 for (2998ds/127Mi)
% 1.32/1.41 % (15369)Instruction limit reached!
% 1.32/1.41 % (15369)------------------------------
% 1.32/1.41 % (15369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.41 % (15369)Termination reason: Unknown
% 1.32/1.41 % (15369)Termination phase: Saturation
% 1.32/1.41
% 1.32/1.41 % (15369)Memory used [KB]: 6012
% 1.32/1.41 % (15369)Time elapsed: 0.184 s
% 1.32/1.41 % (15369)Instructions burned: 377 (million)
% 1.32/1.41 % (15369)------------------------------
% 1.32/1.41 % (15369)------------------------------
% 1.32/1.42 % (15376)Instruction limit reached!
% 1.32/1.42 % (15376)------------------------------
% 1.32/1.42 % (15376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.42 % (15376)Termination reason: Unknown
% 1.32/1.42 % (15376)Termination phase: Saturation
% 1.32/1.42
% 1.32/1.42 % (15376)Memory used [KB]: 6012
% 1.32/1.42 % (15376)Time elapsed: 0.086 s
% 1.32/1.42 % (15376)Instructions burned: 128 (million)
% 1.32/1.42 % (15376)------------------------------
% 1.32/1.42 % (15376)------------------------------
% 1.32/1.42 % (15377)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_15244 for (2997ds/100Mi)
% 1.32/1.44 % (15378)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_15244 for (2997ds/3Mi)
% 1.32/1.44 % (15378)Instruction limit reached!
% 1.32/1.44 % (15378)------------------------------
% 1.32/1.44 % (15378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.44 % (15378)Termination reason: Unknown
% 1.32/1.44 % (15378)Termination phase: Saturation
% 1.32/1.44
% 1.32/1.44 % (15378)Memory used [KB]: 5500
% 1.32/1.44 % (15378)Time elapsed: 0.035 s
% 1.32/1.44 % (15378)Instructions burned: 3 (million)
% 1.32/1.44 % (15378)------------------------------
% 1.32/1.44 % (15378)------------------------------
% 1.32/1.45 % (15379)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_15244 for (2997ds/20Mi)
% 1.32/1.46 % (15377)Instruction limit reached!
% 1.32/1.46 % (15377)------------------------------
% 1.32/1.46 % (15377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.46 % (15377)Termination reason: Unknown
% 1.32/1.46 % (15377)Termination phase: Saturation
% 1.32/1.46
% 1.32/1.46 % (15377)Memory used [KB]: 5756
% 1.32/1.46 % (15377)Time elapsed: 0.053 s
% 1.32/1.46 % (15377)Instructions burned: 103 (million)
% 1.32/1.46 % (15377)------------------------------
% 1.32/1.46 % (15377)------------------------------
% 1.32/1.46 % (15379)Instruction limit reached!
% 1.32/1.46 % (15379)------------------------------
% 1.32/1.46 % (15379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.46 % (15379)Termination reason: Unknown
% 1.32/1.46 % (15379)Termination phase: Saturation
% 1.32/1.46
% 1.32/1.46 % (15379)Memory used [KB]: 5628
% 1.32/1.46 % (15379)Time elapsed: 0.034 s
% 1.32/1.46 % (15379)Instructions burned: 20 (million)
% 1.32/1.46 % (15379)------------------------------
% 1.32/1.46 % (15379)------------------------------
% 1.32/1.47 % (15380)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_15244 for (2996ds/86Mi)
% 1.32/1.48 % (15381)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_15244 for (2996ds/107Mi)
% 1.32/1.49 % (15380)Instruction limit reached!
% 1.32/1.49 % (15380)------------------------------
% 1.32/1.49 % (15380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.49 % (15380)Termination reason: Unknown
% 1.32/1.49 % (15380)Termination phase: Saturation
% 1.32/1.49
% 1.32/1.49 % (15380)Memory used [KB]: 6012
% 1.32/1.49 % (15380)Time elapsed: 0.027 s
% 1.32/1.49 % (15380)Instructions burned: 87 (million)
% 1.32/1.49 % (15380)------------------------------
% 1.32/1.49 % (15380)------------------------------
% 1.32/1.50 % (15382)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_15244 for (2996ds/39Mi)
% 1.32/1.51 % (15365)Instruction limit reached!
% 1.32/1.51 % (15365)------------------------------
% 1.32/1.51 % (15365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.51 % (15365)Termination reason: Unknown
% 1.32/1.51 % (15365)Termination phase: Saturation
% 1.32/1.51
% 1.32/1.51 % (15365)Memory used [KB]: 6780
% 1.32/1.51 % (15365)Time elapsed: 0.307 s
% 1.32/1.51 % (15365)Instructions burned: 902 (million)
% 1.32/1.51 % (15365)------------------------------
% 1.32/1.51 % (15365)------------------------------
% 1.32/1.51 % (15382)Instruction limit reached!
% 1.32/1.51 % (15382)------------------------------
% 1.32/1.51 % (15382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.51 % (15382)Termination reason: Unknown
% 1.32/1.51 % (15382)Termination phase: Saturation
% 1.32/1.51
% 1.32/1.51 % (15382)Memory used [KB]: 5628
% 1.32/1.51 % (15382)Time elapsed: 0.013 s
% 1.32/1.51 % (15382)Instructions burned: 39 (million)
% 1.32/1.51 % (15382)------------------------------
% 1.32/1.51 % (15382)------------------------------
% 1.32/1.52 % (15383)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_15244 for (2996ds/448Mi)
% 1.32/1.53 % (15363)Instruction limit reached!
% 1.32/1.53 % (15363)------------------------------
% 1.32/1.53 % (15363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.53 % (15363)Termination reason: Unknown
% 1.32/1.53 % (15363)Termination phase: Saturation
% 1.32/1.53
% 1.32/1.53 % (15363)Memory used [KB]: 7419
% 1.32/1.53 % (15363)Time elapsed: 0.326 s
% 1.32/1.53 % (15363)Instructions burned: 712 (million)
% 1.32/1.53 % (15363)------------------------------
% 1.32/1.53 % (15363)------------------------------
% 1.32/1.53 % (15384)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_15244 for (2996ds/46Mi)
% 1.32/1.53 % (15381)Instruction limit reached!
% 1.32/1.53 % (15381)------------------------------
% 1.32/1.53 % (15381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.53 % (15381)Termination reason: Unknown
% 1.32/1.53 % (15381)Termination phase: Saturation
% 1.32/1.53
% 1.32/1.53 % (15381)Memory used [KB]: 5884
% 1.32/1.53 % (15381)Time elapsed: 0.055 s
% 1.32/1.53 % (15381)Instructions burned: 107 (million)
% 1.32/1.53 % (15381)------------------------------
% 1.32/1.53 % (15381)------------------------------
% 1.32/1.54 % (15385)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_15244 for (2995ds/98Mi)
% 1.32/1.55 % (15386)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_15244 for (2995ds/507Mi)
% 1.32/1.55 % (15384)Instruction limit reached!
% 1.32/1.55 % (15384)------------------------------
% 1.32/1.55 % (15384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.55 % (15384)Termination reason: Unknown
% 1.32/1.55 % (15384)Termination phase: Saturation
% 1.32/1.55
% 1.32/1.55 % (15384)Memory used [KB]: 5756
% 1.32/1.55 % (15384)Time elapsed: 0.026 s
% 1.32/1.55 % (15384)Instructions burned: 47 (million)
% 1.32/1.55 % (15384)------------------------------
% 1.32/1.55 % (15384)------------------------------
% 1.32/1.57 % (15388)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_15244 for (2995ds/149Mi)
% 1.32/1.59 % (15385)Instruction limit reached!
% 1.32/1.59 % (15385)------------------------------
% 1.32/1.59 % (15385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.59 % (15385)Termination reason: Unknown
% 1.32/1.59 % (15385)Termination phase: Saturation
% 1.32/1.59
% 1.32/1.59 % (15385)Memory used [KB]: 1407
% 1.32/1.59 % (15385)Time elapsed: 0.048 s
% 1.32/1.59 % (15385)Instructions burned: 99 (million)
% 1.32/1.59 % (15385)------------------------------
% 1.32/1.59 % (15385)------------------------------
% 1.32/1.59 % (15354)Instruction limit reached!
% 1.32/1.59 % (15354)------------------------------
% 1.32/1.59 % (15354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.59 % (15354)Termination reason: Unknown
% 1.32/1.59 % (15354)Termination phase: Saturation
% 1.32/1.59
% 1.32/1.59 % (15354)Memory used [KB]: 6524
% 1.32/1.59 % (15354)Time elapsed: 0.427 s
% 1.32/1.59 % (15354)Instructions burned: 1042 (million)
% 1.32/1.59 % (15354)------------------------------
% 1.32/1.59 % (15354)------------------------------
% 1.32/1.60 % (15389)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_15244 for (2995ds/39Mi)
% 1.32/1.60 % (15370)Instruction limit reached!
% 1.32/1.60 % (15370)------------------------------
% 1.32/1.60 % (15370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.60 % (15370)Termination reason: Unknown
% 1.32/1.60 % (15370)Termination phase: Saturation
% 1.32/1.60
% 1.32/1.60 % (15370)Memory used [KB]: 7164
% 1.32/1.60 % (15370)Time elapsed: 0.359 s
% 1.32/1.60 % (15370)Instructions burned: 780 (million)
% 1.32/1.60 % (15370)------------------------------
% 1.32/1.60 % (15370)------------------------------
% 1.32/1.62 % (15390)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_15244 for (2995ds/6Mi)
% 1.32/1.62 % (15390)Instruction limit reached!
% 1.32/1.62 % (15390)------------------------------
% 1.32/1.62 % (15390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.62 % (15390)Termination reason: Unknown
% 1.32/1.62 % (15390)Termination phase: Saturation
% 1.32/1.62
% 1.32/1.62 % (15390)Memory used [KB]: 9978
% 1.32/1.62 % (15390)Time elapsed: 0.005 s
% 1.32/1.62 % (15390)Instructions burned: 6 (million)
% 1.32/1.62 % (15390)------------------------------
% 1.32/1.62 % (15390)------------------------------
% 1.32/1.62 % (15389)Instruction limit reached!
% 1.32/1.62 % (15389)------------------------------
% 1.32/1.62 % (15389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.62 % (15389)Termination reason: Unknown
% 1.32/1.62 % (15389)Termination phase: Saturation
% 1.32/1.62
% 1.32/1.62 % (15389)Memory used [KB]: 5628
% 1.32/1.62 % (15389)Time elapsed: 0.020 s
% 1.32/1.62 % (15389)Instructions burned: 40 (million)
% 1.32/1.62 % (15389)------------------------------
% 1.32/1.62 % (15389)------------------------------
% 1.32/1.62 % (15392)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_15244 for (2995ds/1087Mi)
% 1.32/1.64 % (15394)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_15244 for (2995ds/44Mi)
% 1.32/1.64 % (15393)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_15244 for (2995ds/47Mi)
% 1.32/1.65 % (15388)Instruction limit reached!
% 1.32/1.65 % (15388)------------------------------
% 1.32/1.65 % (15388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.65 % (15388)Termination reason: Unknown
% 1.32/1.65 % (15388)Termination phase: Saturation
% 1.32/1.65
% 1.32/1.65 % (15388)Memory used [KB]: 6140
% 1.32/1.65 % (15388)Time elapsed: 0.078 s
% 1.32/1.65 % (15388)Instructions burned: 149 (million)
% 1.32/1.65 % (15388)------------------------------
% 1.32/1.65 % (15388)------------------------------
% 1.32/1.66 % (15394)Instruction limit reached!
% 1.32/1.66 % (15394)------------------------------
% 1.32/1.66 % (15394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.66 % (15394)Termination reason: Unknown
% 1.32/1.66 % (15394)Termination phase: Saturation
% 1.32/1.66
% 1.32/1.66 % (15394)Memory used [KB]: 1279
% 1.32/1.66 % (15394)Time elapsed: 0.023 s
% 1.32/1.66 % (15394)Instructions burned: 46 (million)
% 1.32/1.66 % (15394)------------------------------
% 1.32/1.66 % (15394)------------------------------
% 1.32/1.66 % (15393)Instruction limit reached!
% 1.32/1.66 % (15393)------------------------------
% 1.32/1.66 % (15393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.66 % (15393)Termination reason: Unknown
% 1.32/1.66 % (15393)Termination phase: Saturation
% 1.32/1.66
% 1.32/1.66 % (15393)Memory used [KB]: 5756
% 1.32/1.66 % (15393)Time elapsed: 0.025 s
% 1.32/1.66 % (15393)Instructions burned: 48 (million)
% 1.32/1.66 % (15393)------------------------------
% 1.32/1.66 % (15393)------------------------------
% 1.32/1.67 % (15395)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_15244 for (2994ds/432Mi)
% 1.32/1.67 % (15372)Instruction limit reached!
% 1.32/1.67 % (15372)------------------------------
% 1.32/1.67 % (15372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.67 % (15372)Termination reason: Unknown
% 1.32/1.67 % (15372)Termination phase: Saturation
% 1.32/1.67
% 1.32/1.67 % (15372)Memory used [KB]: 6524
% 1.32/1.67 % (15372)Time elapsed: 0.398 s
% 1.32/1.67 % (15372)Instructions burned: 881 (million)
% 1.32/1.67 % (15372)------------------------------
% 1.32/1.67 % (15372)------------------------------
% 1.32/1.68 % (15396)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_15244 for (2994ds/62Mi)
% 1.32/1.68 % (15397)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_15244 for (2994ds/31Mi)
% 1.32/1.68 % (15383)Instruction limit reached!
% 1.32/1.68 % (15383)------------------------------
% 1.32/1.68 % (15383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.68 % (15383)Termination reason: Unknown
% 1.32/1.68 % (15383)Termination phase: Saturation
% 1.32/1.68
% 1.32/1.68 % (15383)Memory used [KB]: 6780
% 1.32/1.68 % (15383)Time elapsed: 0.159 s
% 1.32/1.68 % (15383)Instructions burned: 449 (million)
% 1.32/1.68 % (15383)------------------------------
% 1.32/1.68 % (15383)------------------------------
% 1.32/1.68 % (15398)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_15244 for (2994ds/96Mi)
% 1.32/1.69 % (15397)Instruction limit reached!
% 1.32/1.69 % (15397)------------------------------
% 1.32/1.69 % (15397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.69 % (15397)Termination reason: Unknown
% 1.32/1.69 % (15397)Termination phase: Saturation
% 1.32/1.69
% 1.32/1.69 % (15397)Memory used [KB]: 5756
% 1.32/1.69 % (15397)Time elapsed: 0.017 s
% 1.32/1.69 % (15397)Instructions burned: 32 (million)
% 1.32/1.69 % (15397)------------------------------
% 1.32/1.69 % (15397)------------------------------
% 1.32/1.70 % (15399)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_15244 for (2994ds/453Mi)
% 1.32/1.71 % (15396)Instruction limit reached!
% 1.32/1.71 % (15396)------------------------------
% 1.32/1.71 % (15396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.71 % (15396)Termination reason: Unknown
% 1.32/1.71 % (15396)Termination phase: Saturation
% 1.32/1.71
% 1.32/1.71 % (15396)Memory used [KB]: 5884
% 1.32/1.71 % (15396)Time elapsed: 0.032 s
% 1.32/1.71 % (15396)Instructions burned: 64 (million)
% 1.32/1.71 % (15396)------------------------------
% 1.32/1.71 % (15396)------------------------------
% 1.32/1.71 % (15400)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_15244 for (2994ds/71Mi)
% 1.32/1.71 % (15398)Instruction limit reached!
% 1.32/1.71 % (15398)------------------------------
% 1.32/1.71 % (15398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.71 % (15398)Termination reason: Unknown
% 1.32/1.71 % (15398)Termination phase: Saturation
% 1.32/1.71
% 1.32/1.71 % (15398)Memory used [KB]: 5756
% 1.32/1.71 % (15398)Time elapsed: 0.030 s
% 1.32/1.71 % (15398)Instructions burned: 97 (million)
% 1.32/1.71 % (15398)------------------------------
% 1.32/1.71 % (15398)------------------------------
% 1.32/1.72 % (15401)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_15244 for (2994ds/83Mi)
% 1.32/1.73 % (15402)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_15244 for (2994ds/11Mi)
% 1.32/1.73 % (15402)Instruction limit reached!
% 1.32/1.73 % (15402)------------------------------
% 1.32/1.73 % (15402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.73 % (15402)Termination reason: Unknown
% 1.32/1.73 % (15402)Termination phase: Saturation
% 1.32/1.73
% 1.32/1.73 % (15402)Memory used [KB]: 5500
% 1.32/1.73 % (15402)Time elapsed: 0.008 s
% 1.32/1.73 % (15402)Instructions burned: 13 (million)
% 1.32/1.73 % (15402)------------------------------
% 1.32/1.73 % (15402)------------------------------
% 1.32/1.73 % (15400)Instruction limit reached!
% 1.32/1.73 % (15400)------------------------------
% 1.32/1.73 % (15400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.73 % (15400)Termination reason: Unknown
% 1.32/1.73 % (15400)Termination phase: Saturation
% 1.32/1.73
% 1.32/1.73 % (15400)Memory used [KB]: 5884
% 1.32/1.73 % (15400)Time elapsed: 0.026 s
% 1.32/1.73 % (15400)Instructions burned: 71 (million)
% 1.32/1.73 % (15400)------------------------------
% 1.32/1.73 % (15400)------------------------------
% 1.32/1.75 % (15404)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_15244 for (2993ds/6Mi)
% 1.32/1.75 % (15401)Instruction limit reached!
% 1.32/1.75 % (15401)------------------------------
% 1.32/1.75 % (15401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.75 % (15401)Termination reason: Unknown
% 1.32/1.75 % (15401)Termination phase: Saturation
% 1.32/1.75
% 1.32/1.75 % (15401)Memory used [KB]: 6012
% 1.32/1.75 % (15401)Time elapsed: 0.029 s
% 1.32/1.75 % (15401)Instructions burned: 84 (million)
% 1.32/1.75 % (15401)------------------------------
% 1.32/1.75 % (15401)------------------------------
% 1.32/1.75 % (15404)Instruction limit reached!
% 1.32/1.75 % (15404)------------------------------
% 1.32/1.75 % (15404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.75 % (15404)Termination reason: Unknown
% 1.32/1.75 % (15404)Termination phase: Saturation
% 1.32/1.75
% 1.32/1.75 % (15404)Memory used [KB]: 5500
% 1.32/1.75 % (15404)Time elapsed: 0.005 s
% 1.32/1.75 % (15404)Instructions burned: 7 (million)
% 1.32/1.75 % (15404)------------------------------
% 1.32/1.75 % (15404)------------------------------
% 1.32/1.76 % (15406)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_15244 for (2993ds/343Mi)
% 1.32/1.76 % (15403)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_15244 for (2993ds/41Mi)
% 1.32/1.77 % (15405)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_15244 for (2993ds/150Mi)
% 1.32/1.77 % (15386)Instruction limit reached!
% 1.32/1.77 % (15386)------------------------------
% 1.32/1.77 % (15386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.77 % (15386)Termination reason: Unknown
% 1.32/1.77 % (15403)Refutation not found, incomplete strategy
% 1.32/1.77 % (15403)------------------------------
% 1.32/1.77 % (15403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.77 % (15403)Termination reason: Refutation not found, incomplete strategy
% 1.32/1.77
% 1.32/1.77
% 1.32/1.77 % (15403)Memory used [KB]: 5500
% 1.32/1.77 % (15403)Time elapsed: 0.028 s
% 1.32/1.77 % (15403)Instructions burned: 11 (million)
% 1.32/1.77 % (15403)------------------------------
% 1.32/1.77 % (15403)------------------------------
% 1.32/1.77 % (15386)Termination phase: Saturation
% 1.32/1.77
% 1.32/1.77 % (15386)Memory used [KB]: 6908
% 1.32/1.77 % (15386)Time elapsed: 0.222 s
% 1.32/1.77 % (15386)Instructions burned: 508 (million)
% 1.32/1.77 % (15386)------------------------------
% 1.32/1.77 % (15386)------------------------------
% 1.32/1.79 % (15407)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_15244 for (2993ds/109Mi)
% 1.32/1.79 % (15408)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_15244 for (2993ds/253Mi)
% 1.32/1.84 % (15405)Instruction limit reached!
% 1.32/1.84 % (15405)------------------------------
% 1.32/1.84 % (15405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.84 % (15405)Termination reason: Unknown
% 1.32/1.84 % (15405)Termination phase: Saturation
% 1.32/1.84
% 1.32/1.84 % (15405)Memory used [KB]: 6140
% 1.32/1.84 % (15405)Time elapsed: 0.071 s
% 1.32/1.84 % (15405)Instructions burned: 151 (million)
% 1.32/1.84 % (15405)------------------------------
% 1.32/1.84 % (15405)------------------------------
% 1.32/1.84 % (15407)Instruction limit reached!
% 1.32/1.84 % (15407)------------------------------
% 1.32/1.84 % (15407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.84 % (15407)Termination reason: Unknown
% 1.32/1.84 % (15407)Termination phase: Saturation
% 1.32/1.84
% 1.32/1.84 % (15407)Memory used [KB]: 6268
% 1.32/1.84 % (15407)Time elapsed: 0.053 s
% 1.32/1.84 % (15407)Instructions burned: 109 (million)
% 1.32/1.84 % (15407)------------------------------
% 1.32/1.84 % (15407)------------------------------
% 1.32/1.85 % (15410)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_15244 for (2992ds/614Mi)
% 1.32/1.85 % (15395)Instruction limit reached!
% 1.32/1.85 % (15395)------------------------------
% 1.32/1.85 % (15395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.85 % (15395)Termination reason: Unknown
% 1.32/1.85 % (15395)Termination phase: Saturation
% 1.32/1.85
% 1.32/1.85 % (15395)Memory used [KB]: 1791
% 1.32/1.85 % (15395)Time elapsed: 0.190 s
% 1.32/1.85 % (15395)Instructions burned: 433 (million)
% 1.32/1.85 % (15395)------------------------------
% 1.32/1.85 % (15395)------------------------------
% 1.32/1.86 % (15409)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_15244 for (2992ds/140Mi)
% 1.32/1.86 % (15412)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_15244 for (2992ds/202Mi)
% 1.32/1.88 % (15408)Instruction limit reached!
% 1.32/1.88 % (15408)------------------------------
% 1.32/1.88 % (15408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.88 % (15408)Termination reason: Unknown
% 1.32/1.88 % (15408)Termination phase: Saturation
% 1.32/1.88
% 1.32/1.88 % (15408)Memory used [KB]: 6012
% 1.32/1.88 % (15408)Time elapsed: 0.093 s
% 1.32/1.88 % (15408)Instructions burned: 255 (million)
% 1.32/1.88 % (15408)------------------------------
% 1.32/1.88 % (15408)------------------------------
% 1.32/1.89 % (15413)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_15244 for (2992ds/339Mi)
% 1.32/1.90 % (15399)Instruction limit reached!
% 1.32/1.90 % (15399)------------------------------
% 1.32/1.90 % (15399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.90 % (15399)Termination reason: Unknown
% 1.32/1.90 % (15399)Termination phase: Saturation
% 1.32/1.90
% 1.32/1.90 % (15399)Memory used [KB]: 6140
% 1.32/1.90 % (15399)Time elapsed: 0.203 s
% 1.32/1.90 % (15399)Instructions burned: 454 (million)
% 1.32/1.90 % (15399)------------------------------
% 1.32/1.90 % (15399)------------------------------
% 1.32/1.90 % (15406)Instruction limit reached!
% 1.32/1.90 % (15406)------------------------------
% 1.32/1.90 % (15406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.90 % (15406)Termination reason: Unknown
% 1.32/1.90 % (15406)Termination phase: Saturation
% 1.32/1.90
% 1.32/1.90 % (15406)Memory used [KB]: 6140
% 1.32/1.90 % (15406)Time elapsed: 0.143 s
% 1.32/1.90 % (15406)Instructions burned: 343 (million)
% 1.32/1.90 % (15406)------------------------------
% 1.32/1.90 % (15406)------------------------------
% 1.32/1.92 % (15415)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_15244 for (2992ds/283Mi)
% 1.32/1.92 % (15416)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_15244 for (2992ds/134Mi)
% 1.32/1.93 % (15409)Instruction limit reached!
% 1.32/1.93 % (15409)------------------------------
% 1.32/1.93 % (15409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.93 % (15409)Termination reason: Unknown
% 1.32/1.93 % (15409)Termination phase: Saturation
% 1.32/1.93
% 1.32/1.93 % (15409)Memory used [KB]: 6012
% 1.32/1.93 % (15409)Time elapsed: 0.092 s
% 1.32/1.93 % (15409)Instructions burned: 142 (million)
% 1.32/1.93 % (15409)------------------------------
% 1.32/1.93 % (15409)------------------------------
% 1.32/1.94 % (15412)Instruction limit reached!
% 1.32/1.94 % (15412)------------------------------
% 1.32/1.94 % (15412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.94 % (15412)Termination reason: Unknown
% 1.32/1.94 % (15412)Termination phase: Saturation
% 1.32/1.94
% 1.32/1.94 % (15412)Memory used [KB]: 6268
% 1.32/1.94 % (15412)Time elapsed: 0.080 s
% 1.32/1.94 % (15412)Instructions burned: 203 (million)
% 1.32/1.94 % (15412)------------------------------
% 1.32/1.94 % (15412)------------------------------
% 1.32/1.94 % (15417)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_15244 for (2992ds/298Mi)
% 1.32/1.96 % (15418)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_15244 for (2991ds/192Mi)
% 1.32/1.98 % (15416)Instruction limit reached!
% 1.32/1.98 % (15416)------------------------------
% 1.32/1.98 % (15416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/1.98 % (15416)Termination reason: Unknown
% 1.32/1.98 % (15416)Termination phase: Saturation
% 1.32/1.98
% 1.32/1.98 % (15416)Memory used [KB]: 6268
% 1.32/1.98 % (15416)Time elapsed: 0.065 s
% 1.32/1.98 % (15416)Instructions burned: 134 (million)
% 1.32/1.98 % (15416)------------------------------
% 1.32/1.98 % (15416)------------------------------
% 1.32/2.01 % (15419)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_15244 for (2991ds/258Mi)
% 1.32/2.02 % (15413)Instruction limit reached!
% 1.32/2.02 % (15413)------------------------------
% 1.32/2.02 % (15413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.32/2.02 % (15413)Termination reason: Unknown
% 1.32/2.02 % (15413)Termination phase: Saturation
% 1.32/2.02
% 1.32/2.02 % (15413)Memory used [KB]: 6140
% 1.32/2.02 % (15413)Time elapsed: 0.138 s
% 1.32/2.02 % (15413)Instructions burned: 340 (million)
% 1.32/2.02 % (15413)------------------------------
% 1.32/2.02 % (15413)------------------------------
% 7.44/2.04 % (15420)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_15244 for (2991ds/90Mi)
% 7.44/2.05 % (15415)Instruction limit reached!
% 7.44/2.05 % (15415)------------------------------
% 7.44/2.05 % (15415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.05 % (15415)Termination reason: Unknown
% 7.44/2.05 % (15415)Termination phase: Saturation
% 7.44/2.05
% 7.44/2.05 % (15415)Memory used [KB]: 7419
% 7.44/2.05 % (15415)Time elapsed: 0.149 s
% 7.44/2.05 % (15415)Instructions burned: 284 (million)
% 7.44/2.05 % (15415)------------------------------
% 7.44/2.05 % (15415)------------------------------
% 7.44/2.05 % (15418)Instruction limit reached!
% 7.44/2.05 % (15418)------------------------------
% 7.44/2.05 % (15418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.05 % (15418)Termination reason: Unknown
% 7.44/2.05 % (15418)Termination phase: Saturation
% 7.44/2.05
% 7.44/2.05 % (15418)Memory used [KB]: 6396
% 7.44/2.05 % (15418)Time elapsed: 0.112 s
% 7.44/2.05 % (15418)Instructions burned: 193 (million)
% 7.44/2.05 % (15418)------------------------------
% 7.44/2.05 % (15418)------------------------------
% 7.44/2.06 % (15422)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_15244 for (2990ds/458Mi)
% 7.44/2.07 % (15421)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_15244 for (2990ds/231Mi)
% 7.44/2.09 % (15420)Instruction limit reached!
% 7.44/2.09 % (15420)------------------------------
% 7.44/2.09 % (15420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.09 % (15420)Termination reason: Unknown
% 7.44/2.09 % (15420)Termination phase: Saturation
% 7.44/2.09
% 7.44/2.09 % (15420)Memory used [KB]: 5884
% 7.44/2.09 % (15420)Time elapsed: 0.046 s
% 7.44/2.09 % (15420)Instructions burned: 90 (million)
% 7.44/2.09 % (15420)------------------------------
% 7.44/2.09 % (15420)------------------------------
% 7.44/2.09 % (15417)Instruction limit reached!
% 7.44/2.09 % (15417)------------------------------
% 7.44/2.09 % (15417)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.09 % (15417)Termination reason: Unknown
% 7.44/2.09 % (15417)Termination phase: Saturation
% 7.44/2.09
% 7.44/2.09 % (15417)Memory used [KB]: 6268
% 7.44/2.09 % (15417)Time elapsed: 0.162 s
% 7.44/2.09 % (15417)Instructions burned: 298 (million)
% 7.44/2.09 % (15417)------------------------------
% 7.44/2.09 % (15417)------------------------------
% 7.44/2.09 % (15392)Instruction limit reached!
% 7.44/2.09 % (15392)------------------------------
% 7.44/2.09 % (15392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.09 % (15392)Termination reason: Unknown
% 7.44/2.09 % (15392)Termination phase: Saturation
% 7.44/2.09
% 7.44/2.09 % (15392)Memory used [KB]: 6524
% 7.44/2.09 % (15392)Time elapsed: 0.473 s
% 7.44/2.09 % (15392)Instructions burned: 1088 (million)
% 7.44/2.09 % (15392)------------------------------
% 7.44/2.09 % (15392)------------------------------
% 7.44/2.10 % (15419)Instruction limit reached!
% 7.44/2.10 % (15419)------------------------------
% 7.44/2.10 % (15419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.10 % (15419)Termination reason: Unknown
% 7.44/2.10 % (15419)Termination phase: Saturation
% 7.44/2.10
% 7.44/2.10 % (15419)Memory used [KB]: 6012
% 7.44/2.10 % (15419)Time elapsed: 0.111 s
% 7.44/2.10 % (15419)Instructions burned: 259 (million)
% 7.44/2.10 % (15419)------------------------------
% 7.44/2.10 % (15419)------------------------------
% 7.44/2.10 % (15423)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_15244 for (2990ds/31Mi)
% 7.44/2.10 % (15424)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_15244 for (2990ds/297Mi)
% 7.44/2.11 % (15426)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_15244 for (2990ds/182Mi)
% 7.44/2.12 % (15425)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_15244 for (2990ds/987Mi)
% 7.44/2.12 % (15423)Instruction limit reached!
% 7.44/2.12 % (15423)------------------------------
% 7.44/2.12 % (15423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.12 % (15423)Termination reason: Unknown
% 7.44/2.12 % (15423)Termination phase: Saturation
% 7.44/2.12
% 7.44/2.12 % (15423)Memory used [KB]: 5756
% 7.44/2.12 % (15423)Time elapsed: 0.017 s
% 7.44/2.12 % (15423)Instructions burned: 32 (million)
% 7.44/2.12 % (15423)------------------------------
% 7.44/2.12 % (15423)------------------------------
% 7.44/2.12 % (15410)Instruction limit reached!
% 7.44/2.12 % (15410)------------------------------
% 7.44/2.12 % (15410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.12 % (15410)Termination reason: Unknown
% 7.44/2.12 % (15410)Termination phase: Saturation
% 7.44/2.12
% 7.44/2.12 % (15410)Memory used [KB]: 6908
% 7.44/2.12 % (15410)Time elapsed: 0.268 s
% 7.44/2.12 % (15410)Instructions burned: 614 (million)
% 7.44/2.12 % (15410)------------------------------
% 7.44/2.12 % (15410)------------------------------
% 7.93/2.13 % (15428)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_15244 for (2990ds/154Mi)
% 7.93/2.13 % (15427)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_15244 for (2990ds/182Mi)
% 7.93/2.16 % (15426)Instruction limit reached!
% 7.93/2.16 % (15426)------------------------------
% 7.93/2.16 % (15426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.93/2.16 % (15426)Termination reason: Unknown
% 7.93/2.16 % (15426)Termination phase: Saturation
% 7.93/2.16
% 7.93/2.16 % (15426)Memory used [KB]: 6652
% 7.93/2.16 % (15426)Time elapsed: 0.053 s
% 7.93/2.16 % (15426)Instructions burned: 185 (million)
% 7.93/2.16 % (15426)------------------------------
% 7.93/2.16 % (15426)------------------------------
% 7.93/2.17 % (15429)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_15244 for (2989ds/79Mi)
% 7.93/2.19 % (15429)Instruction limit reached!
% 7.93/2.19 % (15429)------------------------------
% 7.93/2.19 % (15429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.93/2.19 % (15429)Termination reason: Unknown
% 7.93/2.19 % (15429)Termination phase: Saturation
% 7.93/2.19
% 7.93/2.19 % (15429)Memory used [KB]: 5756
% 7.93/2.19 % (15429)Time elapsed: 0.024 s
% 7.93/2.19 % (15429)Instructions burned: 82 (million)
% 7.93/2.19 % (15429)------------------------------
% 7.93/2.19 % (15429)------------------------------
% 8.03/2.20 % (15421)Instruction limit reached!
% 8.03/2.20 % (15421)------------------------------
% 8.03/2.20 % (15421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.20 % (15421)Termination reason: Unknown
% 8.03/2.20 % (15421)Termination phase: Saturation
% 8.03/2.20
% 8.03/2.20 % (15421)Memory used [KB]: 6396
% 8.03/2.20 % (15421)Time elapsed: 0.148 s
% 8.03/2.20 % (15421)Instructions burned: 232 (million)
% 8.03/2.20 % (15421)------------------------------
% 8.03/2.20 % (15421)------------------------------
% 8.03/2.20 % (15430)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_15244 for (2989ds/216Mi)
% 8.03/2.21 % (15428)Instruction limit reached!
% 8.03/2.21 % (15428)------------------------------
% 8.03/2.21 % (15428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.21 % (15428)Termination reason: Unknown
% 8.03/2.21 % (15428)Termination phase: Saturation
% 8.03/2.21
% 8.03/2.21 % (15428)Memory used [KB]: 6268
% 8.03/2.21 % (15428)Time elapsed: 0.075 s
% 8.03/2.21 % (15428)Instructions burned: 156 (million)
% 8.03/2.21 % (15428)------------------------------
% 8.03/2.21 % (15428)------------------------------
% 8.03/2.22 % (15431)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_15244 for (2989ds/114Mi)
% 8.03/2.22 % (15427)Instruction limit reached!
% 8.03/2.22 % (15427)------------------------------
% 8.03/2.22 % (15427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.22 % (15427)Termination reason: Unknown
% 8.03/2.22 % (15427)Termination phase: Saturation
% 8.03/2.22
% 8.03/2.22 % (15427)Memory used [KB]: 5884
% 8.03/2.22 % (15427)Time elapsed: 0.090 s
% 8.03/2.22 % (15427)Instructions burned: 183 (million)
% 8.03/2.22 % (15427)------------------------------
% 8.03/2.22 % (15427)------------------------------
% 8.03/2.23 % (15432)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_15244 for (2989ds/922Mi)
% 8.03/2.24 % (15424)Instruction limit reached!
% 8.03/2.24 % (15424)------------------------------
% 8.03/2.24 % (15424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.24 % (15424)Termination reason: Unknown
% 8.03/2.24 % (15424)Termination phase: Saturation
% 8.03/2.24
% 8.03/2.24 % (15424)Memory used [KB]: 6908
% 8.03/2.24 % (15424)Time elapsed: 0.140 s
% 8.03/2.24 % (15424)Instructions burned: 297 (million)
% 8.03/2.24 % (15424)------------------------------
% 8.03/2.24 % (15424)------------------------------
% 8.03/2.25 % (15433)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_15244 for (2989ds/182Mi)
% 8.03/2.26 % (15434)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_15244 for (2988ds/164Mi)
% 8.03/2.26 % (15433)Refutation not found, incomplete strategy
% 8.03/2.26 % (15433)------------------------------
% 8.03/2.26 % (15433)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.26 % (15433)Termination reason: Refutation not found, incomplete strategy
% 8.03/2.26
% 8.03/2.26
% 8.03/2.26 % (15433)Memory used [KB]: 5500
% 8.03/2.26 % (15433)Time elapsed: 0.028 s
% 8.03/2.26 % (15433)Instructions burned: 11 (million)
% 8.03/2.26 % (15433)------------------------------
% 8.03/2.26 % (15433)------------------------------
% 8.03/2.27 % (15422)Instruction limit reached!
% 8.03/2.27 % (15422)------------------------------
% 8.03/2.27 % (15422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.27 % (15422)Termination reason: Unknown
% 8.03/2.27 % (15422)Termination phase: Saturation
% 8.03/2.27
% 8.03/2.27 % (15422)Memory used [KB]: 6268
% 8.03/2.27 % (15422)Time elapsed: 0.203 s
% 8.03/2.27 % (15422)Instructions burned: 458 (million)
% 8.03/2.27 % (15422)------------------------------
% 8.03/2.27 % (15422)------------------------------
% 8.03/2.27 % (15430)Instruction limit reached!
% 8.03/2.27 % (15430)------------------------------
% 8.03/2.27 % (15430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.27 % (15430)Termination reason: Unknown
% 8.03/2.27 % (15430)Termination phase: Saturation
% 8.03/2.27
% 8.03/2.27 % (15430)Memory used [KB]: 6268
% 8.03/2.27 % (15430)Time elapsed: 0.064 s
% 8.03/2.27 % (15430)Instructions burned: 217 (million)
% 8.03/2.27 % (15430)------------------------------
% 8.03/2.27 % (15430)------------------------------
% 8.03/2.27 % (15431)Instruction limit reached!
% 8.03/2.27 % (15431)------------------------------
% 8.03/2.27 % (15431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.27 % (15431)Termination reason: Unknown
% 8.03/2.27 % (15431)Termination phase: Saturation
% 8.03/2.27
% 8.03/2.27 % (15431)Memory used [KB]: 6268
% 8.03/2.27 % (15431)Time elapsed: 0.054 s
% 8.03/2.27 % (15431)Instructions burned: 114 (million)
% 8.03/2.27 % (15431)------------------------------
% 8.03/2.27 % (15431)------------------------------
% 8.03/2.27 % (15435)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_15244 for (2988ds/50Mi)
% 8.03/2.28 % (15437)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_15244 for (2988ds/1021Mi)
% 8.03/2.28 % (15436)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_15244 for (2988ds/368Mi)
% 8.03/2.29 % (15438)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_15244 for (2988ds/267Mi)
% 8.89/2.30 % (15435)Instruction limit reached!
% 8.89/2.30 % (15435)------------------------------
% 8.89/2.30 % (15435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.89/2.30 % (15435)Termination reason: Unknown
% 8.89/2.30 % (15435)Termination phase: Saturation
% 8.89/2.30
% 8.89/2.30 % (15435)Memory used [KB]: 10362
% 8.89/2.30 % (15435)Time elapsed: 0.026 s
% 8.89/2.30 % (15435)Instructions burned: 51 (million)
% 8.89/2.30 % (15435)------------------------------
% 8.89/2.30 % (15435)------------------------------
% 8.89/2.32 % (15439)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_15244 for (2988ds/204Mi)
% 8.89/2.34 % (15434)Instruction limit reached!
% 8.89/2.34 % (15434)------------------------------
% 8.89/2.34 % (15434)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.89/2.34 % (15434)Termination reason: Unknown
% 8.89/2.34 % (15434)Termination phase: Saturation
% 8.89/2.34
% 8.89/2.34 % (15434)Memory used [KB]: 1407
% 8.89/2.34 % (15434)Time elapsed: 0.080 s
% 8.89/2.34 % (15434)Instructions burned: 164 (million)
% 8.89/2.34 % (15434)------------------------------
% 8.89/2.34 % (15434)------------------------------
% 8.89/2.35 % (15441)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_15244 for (2987ds/26Mi)
% 8.89/2.36 % (15441)Refutation not found, incomplete strategy
% 8.89/2.36 % (15441)------------------------------
% 8.89/2.36 % (15441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.89/2.36 % (15441)Termination reason: Refutation not found, incomplete strategy
% 8.89/2.36
% 8.89/2.36
% 8.89/2.36 % (15441)Memory used [KB]: 5500
% 8.89/2.36 % (15441)Time elapsed: 0.007 s
% 8.89/2.36 % (15441)Instructions burned: 11 (million)
% 8.89/2.36 % (15441)------------------------------
% 8.89/2.36 % (15441)------------------------------
% 8.89/2.38 % (15442)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_15244 for (2987ds/53Mi)
% 9.05/2.40 % (15439)Instruction limit reached!
% 9.05/2.40 % (15439)------------------------------
% 9.05/2.40 % (15439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.05/2.40 % (15439)Termination reason: Unknown
% 9.05/2.40 % (15439)Termination phase: Saturation
% 9.05/2.40
% 9.05/2.40 % (15439)Memory used [KB]: 6012
% 9.05/2.40 % (15439)Time elapsed: 0.103 s
% 9.05/2.40 % (15439)Instructions burned: 204 (million)
% 9.05/2.40 % (15439)------------------------------
% 9.05/2.40 % (15439)------------------------------
% 9.05/2.40 % (15442)Instruction limit reached!
% 9.05/2.40 % (15442)------------------------------
% 9.05/2.40 % (15442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.05/2.40 % (15442)Termination reason: Unknown
% 9.05/2.40 % (15442)Termination phase: Saturation
% 9.05/2.40
% 9.05/2.40 % (15442)Memory used [KB]: 5628
% 9.05/2.40 % (15442)Time elapsed: 0.028 s
% 9.05/2.40 % (15442)Instructions burned: 54 (million)
% 9.05/2.40 % (15442)------------------------------
% 9.05/2.40 % (15442)------------------------------
% 9.05/2.41 % (15438)Instruction limit reached!
% 9.05/2.41 % (15438)------------------------------
% 9.05/2.41 % (15438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.05/2.41 % (15438)Termination reason: Unknown
% 9.05/2.41 % (15438)Termination phase: Saturation
% 9.05/2.41
% 9.05/2.41 % (15438)Memory used [KB]: 5884
% 9.05/2.41 % (15438)Time elapsed: 0.123 s
% 9.05/2.41 % (15438)Instructions burned: 268 (million)
% 9.05/2.41 % (15438)------------------------------
% 9.05/2.41 % (15438)------------------------------
% 9.05/2.42 % (15443)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_15244 for (2987ds/4436Mi)
% 9.05/2.42 % (15444)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_15244 for (2987ds/1539Mi)
% 9.05/2.43 % (15445)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_15244 for (2987ds/408Mi)
% 9.05/2.44 % (15436)Instruction limit reached!
% 9.05/2.44 % (15436)------------------------------
% 9.05/2.44 % (15436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.05/2.44 % (15436)Termination reason: Unknown
% 9.05/2.44 % (15436)Termination phase: Saturation
% 9.05/2.44
% 9.05/2.44 % (15436)Memory used [KB]: 6780
% 9.05/2.44 % (15436)Time elapsed: 0.165 s
% 9.05/2.44 % (15436)Instructions burned: 370 (million)
% 9.05/2.44 % (15436)------------------------------
% 9.05/2.44 % (15436)------------------------------
% 9.05/2.45 % (15446)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_15244 for (2986ds/5205Mi)
% 9.05/2.50 % (15425)Instruction limit reached!
% 9.05/2.50 % (15425)------------------------------
% 9.05/2.50 % (15425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.05/2.50 % (15425)Termination reason: Unknown
% 9.05/2.50 % (15425)Termination phase: Saturation
% 9.05/2.50
% 9.05/2.50 % (15425)Memory used [KB]: 6524
% 9.05/2.50 % (15425)Time elapsed: 0.381 s
% 9.05/2.50 % (15425)Instructions burned: 988 (million)
% 9.05/2.50 % (15425)------------------------------
% 9.05/2.50 % (15425)------------------------------
% 9.48/2.51 % (15447)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_15244 for (2986ds/1913Mi)
% 9.88/2.61 % (15445)Instruction limit reached!
% 9.88/2.61 % (15445)------------------------------
% 9.88/2.61 % (15445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.88/2.61 % (15445)Termination reason: Unknown
% 9.88/2.61 % (15445)Termination phase: Saturation
% 9.88/2.61
% 9.88/2.61 % (15445)Memory used [KB]: 7036
% 9.88/2.61 % (15445)Time elapsed: 0.187 s
% 9.88/2.61 % (15445)Instructions burned: 409 (million)
% 9.88/2.61 % (15445)------------------------------
% 9.88/2.61 % (15445)------------------------------
% 9.88/2.62 % (15448)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_15244 for (2985ds/4350Mi)
% 9.88/2.62 % (15432)Instruction limit reached!
% 9.88/2.62 % (15432)------------------------------
% 9.88/2.62 % (15432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.88/2.62 % (15432)Termination reason: Unknown
% 9.88/2.62 % (15432)Termination phase: Saturation
% 9.88/2.63
% 9.88/2.63 % (15432)Memory used [KB]: 6524
% 9.88/2.63 % (15432)Time elapsed: 0.401 s
% 9.88/2.63 % (15432)Instructions burned: 922 (million)
% 9.88/2.63 % (15432)------------------------------
% 9.88/2.63 % (15432)------------------------------
% 9.88/2.64 % (15449)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_15244 for (2985ds/68Mi)
% 9.88/2.67 % (15449)Instruction limit reached!
% 9.88/2.67 % (15449)------------------------------
% 9.88/2.67 % (15449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.88/2.67 % (15449)Termination reason: Unknown
% 9.88/2.67 % (15449)Termination phase: Saturation
% 9.88/2.67
% 9.88/2.67 % (15449)Memory used [KB]: 6012
% 9.88/2.67 % (15449)Time elapsed: 0.034 s
% 9.88/2.67 % (15449)Instructions burned: 68 (million)
% 9.88/2.67 % (15449)------------------------------
% 9.88/2.67 % (15449)------------------------------
% 9.88/2.69 % (15450)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_15244 for (2984ds/358Mi)
% 10.53/2.72 % (15437)Instruction limit reached!
% 10.53/2.72 % (15437)------------------------------
% 10.53/2.72 % (15437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.53/2.72 % (15437)Termination reason: Unknown
% 10.53/2.72 % (15437)Termination phase: Saturation
% 10.53/2.72
% 10.53/2.72 % (15437)Memory used [KB]: 6396
% 10.53/2.72 % (15437)Time elapsed: 0.449 s
% 10.53/2.72 % (15437)Instructions burned: 1022 (million)
% 10.53/2.72 % (15437)------------------------------
% 10.53/2.72 % (15437)------------------------------
% 10.53/2.74 % (15451)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_15244 for (2984ds/31Mi)
% 10.53/2.75 % (15451)Instruction limit reached!
% 10.53/2.75 % (15451)------------------------------
% 10.53/2.75 % (15451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.53/2.75 % (15451)Termination reason: Unknown
% 10.53/2.75 % (15451)Termination phase: Saturation
% 10.53/2.75
% 10.53/2.75 % (15451)Memory used [KB]: 5756
% 10.53/2.75 % (15451)Time elapsed: 0.018 s
% 10.53/2.75 % (15451)Instructions burned: 32 (million)
% 10.53/2.75 % (15451)------------------------------
% 10.53/2.75 % (15451)------------------------------
% 10.53/2.77 % (15452)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_15244 for (2983ds/279Mi)
% 11.00/2.85 % (15450)Instruction limit reached!
% 11.00/2.85 % (15450)------------------------------
% 11.00/2.85 % (15450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.00/2.85 % (15450)Termination reason: Unknown
% 11.00/2.85 % (15450)Termination phase: Saturation
% 11.00/2.85
% 11.00/2.85 % (15450)Memory used [KB]: 6140
% 11.00/2.85 % (15450)Time elapsed: 0.163 s
% 11.00/2.85 % (15450)Instructions burned: 359 (million)
% 11.00/2.85 % (15450)------------------------------
% 11.00/2.85 % (15450)------------------------------
% 11.00/2.87 % (15454)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_15244 for (2982ds/258Mi)
% 11.19/2.90 % (15452)Instruction limit reached!
% 11.19/2.90 % (15452)------------------------------
% 11.19/2.90 % (15452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.19/2.90 % (15452)Termination reason: Unknown
% 11.19/2.90 % (15452)Termination phase: Saturation
% 11.19/2.90
% 11.19/2.90 % (15452)Memory used [KB]: 6396
% 11.19/2.90 % (15452)Time elapsed: 0.133 s
% 11.19/2.90 % (15452)Instructions burned: 280 (million)
% 11.19/2.90 % (15452)------------------------------
% 11.19/2.90 % (15452)------------------------------
% 11.19/2.92 % (15455)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_15244 for (2982ds/26Mi)
% 11.19/2.92 % (15455)Refutation not found, incomplete strategy
% 11.19/2.92 % (15455)------------------------------
% 11.19/2.92 % (15455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.19/2.92 % (15455)Termination reason: Refutation not found, incomplete strategy
% 11.19/2.92
% 11.19/2.92
% 11.19/2.92 % (15455)Memory used [KB]: 5500
% 11.19/2.92 % (15455)Time elapsed: 0.029 s
% 11.19/2.92 % (15455)Instructions burned: 13 (million)
% 11.19/2.92 % (15455)------------------------------
% 11.19/2.92 % (15455)------------------------------
% 11.19/2.94 % (15456)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_15244 for (2982ds/995Mi)
% 11.19/2.99 % (15454)Instruction limit reached!
% 11.19/2.99 % (15454)------------------------------
% 11.19/2.99 % (15454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.19/2.99 % (15454)Termination reason: Unknown
% 11.19/2.99 % (15454)Termination phase: Saturation
% 11.19/2.99
% 11.19/2.99 % (15454)Memory used [KB]: 6012
% 11.19/2.99 % (15454)Time elapsed: 0.146 s
% 11.19/2.99 % (15454)Instructions burned: 259 (million)
% 11.19/2.99 % (15454)------------------------------
% 11.19/2.99 % (15454)------------------------------
% 11.19/3.01 % (15457)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_15244 for (2981ds/373Mi)
% 14.30/3.08 % (15444)Instruction limit reached!
% 14.30/3.08 % (15444)------------------------------
% 14.30/3.08 % (15444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.30/3.08 % (15444)Termination reason: Unknown
% 14.30/3.08 % (15444)Termination phase: Saturation
% 14.30/3.08
% 14.30/3.08 % (15444)Memory used [KB]: 7419
% 14.30/3.08 % (15444)Time elapsed: 0.664 s
% 14.30/3.08 % (15444)Instructions burned: 1540 (million)
% 14.30/3.08 % (15444)------------------------------
% 14.30/3.08 % (15444)------------------------------
% 14.30/3.11 % (15458)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_15244 for (2980ds/253Mi)
% 14.98/3.19 % (15457)Instruction limit reached!
% 14.98/3.19 % (15457)------------------------------
% 14.98/3.19 % (15457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.98/3.19 % (15457)Termination reason: Unknown
% 14.98/3.19 % (15457)Termination phase: Saturation
% 14.98/3.19
% 14.98/3.19 % (15457)Memory used [KB]: 7164
% 14.98/3.19 % (15457)Time elapsed: 0.207 s
% 14.98/3.19 % (15457)Instructions burned: 373 (million)
% 14.98/3.19 % (15457)------------------------------
% 14.98/3.19 % (15457)------------------------------
% 15.40/3.21 % (15459)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_15244 for (2979ds/832Mi)
% 15.40/3.23 % (15458)Instruction limit reached!
% 15.40/3.23 % (15458)------------------------------
% 15.40/3.23 % (15458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.40/3.23 % (15458)Termination reason: Unknown
% 15.40/3.23 % (15458)Termination phase: Saturation
% 15.40/3.23
% 15.40/3.23 % (15458)Memory used [KB]: 6140
% 15.40/3.23 % (15458)Time elapsed: 0.152 s
% 15.40/3.23 % (15458)Instructions burned: 253 (million)
% 15.40/3.23 % (15458)------------------------------
% 15.40/3.23 % (15458)------------------------------
% 15.40/3.25 % (15460)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_15244 for (2979ds/668Mi)
% 15.40/3.28 % (15456)Instruction limit reached!
% 15.40/3.28 % (15456)------------------------------
% 15.40/3.28 % (15456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.40/3.28 % (15456)Termination reason: Unknown
% 15.40/3.28 % (15456)Termination phase: Saturation
% 15.40/3.28
% 15.40/3.28 % (15456)Memory used [KB]: 6396
% 15.40/3.28 % (15456)Time elapsed: 0.352 s
% 15.40/3.28 % (15456)Instructions burned: 995 (million)
% 15.40/3.28 % (15456)------------------------------
% 15.40/3.28 % (15456)------------------------------
% 16.01/3.30 % (15461)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_15244 for (2978ds/40Mi)
% 16.01/3.32 % (15461)Instruction limit reached!
% 16.01/3.32 % (15461)------------------------------
% 16.01/3.32 % (15461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.01/3.32 % (15461)Termination reason: Unknown
% 16.01/3.32 % (15461)Termination phase: Saturation
% 16.01/3.32
% 16.01/3.32 % (15461)Memory used [KB]: 5756
% 16.01/3.32 % (15461)Time elapsed: 0.044 s
% 16.01/3.32 % (15461)Instructions burned: 41 (million)
% 16.01/3.32 % (15461)------------------------------
% 16.01/3.32 % (15461)------------------------------
% 16.01/3.32 % (15447)Instruction limit reached!
% 16.01/3.32 % (15447)------------------------------
% 16.01/3.32 % (15447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.01/3.32 % (15447)Termination reason: Unknown
% 16.01/3.32 % (15447)Termination phase: Saturation
% 16.01/3.32
% 16.01/3.32 % (15447)Memory used [KB]: 3198
% 16.01/3.32 % (15447)Time elapsed: 0.810 s
% 16.01/3.32 % (15447)Instructions burned: 1915 (million)
% 16.01/3.32 % (15447)------------------------------
% 16.01/3.32 % (15447)------------------------------
% 16.01/3.34 % (15463)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_15244 for (2977ds/187Mi)
% 16.01/3.35 % (15462)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_15244 for (2978ds/294Mi)
% 16.38/3.42 % (15463)Instruction limit reached!
% 16.38/3.42 % (15463)------------------------------
% 16.38/3.42 % (15463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.38/3.42 % (15463)Termination reason: Unknown
% 16.38/3.42 % (15463)Termination phase: Saturation
% 16.38/3.42
% 16.38/3.42 % (15463)Memory used [KB]: 6780
% 16.38/3.42 % (15463)Time elapsed: 0.089 s
% 16.38/3.42 % (15463)Instructions burned: 188 (million)
% 16.38/3.42 % (15463)------------------------------
% 16.38/3.42 % (15463)------------------------------
% 16.38/3.44 % (15464)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_15244 for (2976ds/371Mi)
% 16.38/3.48 % (15460)Instruction limit reached!
% 16.38/3.48 % (15460)------------------------------
% 16.38/3.48 % (15460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.38/3.48 % (15460)Termination reason: Unknown
% 16.38/3.48 % (15460)Termination phase: Saturation
% 16.38/3.48
% 16.38/3.48 % (15460)Memory used [KB]: 11769
% 16.38/3.48 % (15460)Time elapsed: 0.250 s
% 16.38/3.48 % (15460)Instructions burned: 668 (million)
% 16.38/3.48 % (15460)------------------------------
% 16.38/3.48 % (15460)------------------------------
% 16.38/3.48 % (15462)Instruction limit reached!
% 16.38/3.48 % (15462)------------------------------
% 16.38/3.48 % (15462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.38/3.48 % (15462)Termination reason: Unknown
% 16.38/3.48 % (15462)Termination phase: Saturation
% 16.38/3.48
% 16.38/3.48 % (15462)Memory used [KB]: 6524
% 16.38/3.48 % (15462)Time elapsed: 0.140 s
% 16.38/3.48 % (15462)Instructions burned: 294 (million)
% 16.38/3.48 % (15462)------------------------------
% 16.38/3.48 % (15462)------------------------------
% 16.38/3.49 % (15465)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_15244 for (2976ds/1827Mi)
% 17.16/3.50 % (15466)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_15244 for (2976ds/70Mi)
% 17.16/3.51 % (15459)Instruction limit reached!
% 17.16/3.51 % (15459)------------------------------
% 17.16/3.51 % (15459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.16/3.51 % (15459)Termination reason: Unknown
% 17.16/3.51 % (15459)Termination phase: Saturation
% 17.16/3.51
% 17.16/3.51 % (15459)Memory used [KB]: 6268
% 17.16/3.51 % (15459)Time elapsed: 0.331 s
% 17.16/3.51 % (15459)Instructions burned: 832 (million)
% 17.16/3.51 % (15459)------------------------------
% 17.16/3.51 % (15459)------------------------------
% 17.16/3.53 % (15466)Instruction limit reached!
% 17.16/3.53 % (15466)------------------------------
% 17.16/3.53 % (15466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.16/3.53 % (15466)Termination reason: Unknown
% 17.16/3.53 % (15466)Termination phase: Saturation
% 17.16/3.53
% 17.16/3.53 % (15466)Memory used [KB]: 1279
% 17.16/3.53 % (15466)Time elapsed: 0.034 s
% 17.16/3.53 % (15466)Instructions burned: 70 (million)
% 17.16/3.53 % (15466)------------------------------
% 17.16/3.53 % (15466)------------------------------
% 17.16/3.53 % (15467)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_15244 for (2976ds/316Mi)
% 17.16/3.55 % (15468)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_15244 for (2975ds/932Mi)
% 17.82/3.62 % (15464)Instruction limit reached!
% 17.82/3.62 % (15464)------------------------------
% 17.82/3.62 % (15464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.82/3.62 % (15464)Termination reason: Unknown
% 17.82/3.62 % (15464)Termination phase: Saturation
% 17.82/3.62
% 17.82/3.62 % (15464)Memory used [KB]: 6268
% 17.82/3.62 % (15464)Time elapsed: 0.177 s
% 17.82/3.62 % (15464)Instructions burned: 372 (million)
% 17.82/3.62 % (15464)------------------------------
% 17.82/3.62 % (15464)------------------------------
% 17.82/3.63 % (15469)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_15244 for (2975ds/4714Mi)
% 17.82/3.65 % (15467)Instruction limit reached!
% 17.82/3.65 % (15467)------------------------------
% 17.82/3.65 % (15467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.82/3.65 % (15467)Termination reason: Unknown
% 17.82/3.65 % (15467)Termination phase: Saturation
% 17.82/3.65
% 17.82/3.65 % (15467)Memory used [KB]: 6908
% 17.82/3.65 % (15467)Time elapsed: 0.123 s
% 17.82/3.65 % (15467)Instructions burned: 318 (million)
% 17.82/3.65 % (15467)------------------------------
% 17.82/3.65 % (15467)------------------------------
% 17.82/3.66 % (15470)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_15244 for (2974ds/8250Mi)
% 18.77/3.85 % (15468)Instruction limit reached!
% 18.77/3.85 % (15468)------------------------------
% 18.77/3.85 % (15468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.77/3.85 % (15468)Termination reason: Unknown
% 18.77/3.85 % (15468)Termination phase: Saturation
% 18.77/3.85
% 18.77/3.85 % (15468)Memory used [KB]: 5884
% 18.77/3.85 % (15468)Time elapsed: 0.305 s
% 18.77/3.85 % (15468)Instructions burned: 933 (million)
% 18.77/3.85 % (15468)------------------------------
% 18.77/3.85 % (15468)------------------------------
% 18.77/3.88 % (15471)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_15244 for (2972ds/770Mi)
% 22.34/4.21 % (15471)Instruction limit reached!
% 22.34/4.21 % (15471)------------------------------
% 22.34/4.21 % (15471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.34/4.21 % (15471)Termination reason: Unknown
% 22.34/4.21 % (15471)Termination phase: Saturation
% 22.34/4.21
% 22.34/4.21 % (15471)Memory used [KB]: 6908
% 22.34/4.21 % (15471)Time elapsed: 0.354 s
% 22.34/4.21 % (15471)Instructions burned: 771 (million)
% 22.34/4.21 % (15471)------------------------------
% 22.34/4.21 % (15471)------------------------------
% 22.34/4.22 % (15443)Instruction limit reached!
% 22.34/4.22 % (15443)------------------------------
% 22.34/4.22 % (15443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.34/4.22 % (15443)Termination reason: Unknown
% 22.34/4.22 % (15443)Termination phase: Saturation
% 22.34/4.22
% 22.34/4.22 % (15443)Memory used [KB]: 7675
% 22.34/4.22 % (15443)Time elapsed: 1.803 s
% 22.34/4.22 % (15443)Instructions burned: 4436 (million)
% 22.34/4.22 % (15443)------------------------------
% 22.34/4.22 % (15443)------------------------------
% 22.34/4.23 % (15474)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_15244 for (2969ds/794Mi)
% 22.34/4.24 % (15475)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_15244 for (2969ds/464Mi)
% 22.34/4.25 % (15465)Instruction limit reached!
% 22.34/4.25 % (15465)------------------------------
% 22.34/4.25 % (15465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.34/4.25 % (15465)Termination reason: Unknown
% 22.34/4.25 % (15465)Termination phase: Saturation
% 22.34/4.25
% 22.34/4.25 % (15465)Memory used [KB]: 7291
% 22.34/4.25 % (15465)Time elapsed: 0.746 s
% 22.34/4.25 % (15465)Instructions burned: 1828 (million)
% 22.34/4.25 % (15465)------------------------------
% 22.34/4.25 % (15465)------------------------------
% 22.34/4.27 % (15476)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_15244 for (2968ds/1376Mi)
% 22.86/4.36 % (15448)Refutation not found, non-redundant clauses discarded% (15448)------------------------------
% 22.86/4.36 % (15448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.86/4.36 % (15448)Termination reason: Refutation not found, non-redundant clauses discarded
% 22.86/4.36
% 22.86/4.36 % (15448)Memory used [KB]: 15479
% 22.86/4.36 % (15448)Time elapsed: 1.760 s
% 22.86/4.36 % (15448)Instructions burned: 4300 (million)
% 22.86/4.36 % (15448)------------------------------
% 22.86/4.36 % (15448)------------------------------
% 22.86/4.39 % (15477)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_15244 for (2967ds/906Mi)
% 23.24/4.40 % (15446)Instruction limit reached!
% 23.24/4.40 % (15446)------------------------------
% 23.24/4.40 % (15446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.24/4.40 % (15446)Termination reason: Unknown
% 23.24/4.40 % (15446)Termination phase: Saturation
% 23.24/4.40
% 23.24/4.40 % (15446)Memory used [KB]: 8187
% 23.24/4.40 % (15446)Time elapsed: 1.939 s
% 23.24/4.40 % (15446)Instructions burned: 5208 (million)
% 23.24/4.40 % (15446)------------------------------
% 23.24/4.40 % (15446)------------------------------
% 23.24/4.41 % (15478)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_15244 for (2967ds/434Mi)
% 23.24/4.43 % (15475)Instruction limit reached!
% 23.24/4.43 % (15475)------------------------------
% 23.24/4.43 % (15475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.24/4.43 % (15475)Termination reason: Unknown
% 23.24/4.43 % (15475)Termination phase: Saturation
% 23.24/4.43
% 23.24/4.43 % (15475)Memory used [KB]: 6268
% 23.24/4.43 % (15475)Time elapsed: 0.197 s
% 23.24/4.43 % (15475)Instructions burned: 464 (million)
% 23.24/4.43 % (15475)------------------------------
% 23.24/4.43 % (15475)------------------------------
% 23.24/4.45 % (15479)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_15244 for (2966ds/865Mi)
% 23.24/4.46 % (15476)First to succeed.
% 23.24/4.46 % (15476)Refutation found. Thanks to Tanya!
% 23.24/4.46 % SZS status Theorem for DTF2THF_15244
% 23.24/4.46 % SZS output start Proof for DTF2THF_15244
% 23.24/4.46 thf(func_def_0, type, cS: $i > $i).
% 23.24/4.46 thf(func_def_1, type, cDOUBLE: $i > $i > $o).
% 23.24/4.46 thf(func_def_2, type, cHALF: $i > $i > $o).
% 23.24/4.46 thf(func_def_18, type, ph1: !>[X0: $tType]:(X0)).
% 23.24/4.46 thf(f576,plain,(
% 23.24/4.46 $false),
% 23.24/4.46 inference(trivial_inequality_removal,[status(thm)],[f575])).
% 23.24/4.46 thf(f575,plain,(
% 23.24/4.46 ($false = $true)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f574])).
% 23.24/4.46 thf(f574,plain,(
% 23.24/4.46 ($false = ($false => ((cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK7))) | (cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK7)))))))),
% 23.24/4.46 inference(forward_demodulation,[status(thm)],[f569,f549])).
% 23.24/4.46 thf(f549,plain,(
% 23.24/4.46 ($false = (cDOUBLE @ (cS @ sK8) @ (cS @ sK7)))),
% 23.24/4.46 inference(trivial_inequality_removal,[status(thm)],[f548])).
% 23.24/4.46 thf(f548,plain,(
% 23.24/4.46 ($false = (cDOUBLE @ (cS @ sK8) @ (cS @ sK7))) | ($false = $true)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f547])).
% 23.24/4.46 thf(f547,plain,(
% 23.24/4.46 ($false = (cDOUBLE @ (cS @ sK8) @ (cS @ sK7))) | ((((cDOUBLE @ sK8 @ sK7) | (cDOUBLE @ (cS @ sK8) @ (cS @ sK7))) => $true) = $false)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f545])).
% 23.24/4.46 thf(f545,plain,(
% 23.24/4.46 ((((cDOUBLE @ sK8 @ sK7) | (cDOUBLE @ (cS @ sK8) @ (cS @ sK7))) => ((cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK7))) | $true)) = $false) | ($false = (cDOUBLE @ (cS @ sK8) @ (cS @ sK7)))),
% 23.24/4.46 inference(superposition,[status(thm)],[f523,f69])).
% 23.24/4.46 thf(f69,plain,(
% 23.24/4.46 ( ! [X2 : $i,X1 : $i] : (((cDOUBLE @ (cS @ X1) @ (cS @ (cS @ X2))) = $true) | ((cDOUBLE @ X1 @ X2) = $false)) )),
% 23.24/4.46 inference(binary_proxy_clausification,[status(thm)],[f68])).
% 23.24/4.46 thf(f68,plain,(
% 23.24/4.46 ( ! [X2 : $i,X1 : $i] : ((((cDOUBLE @ X1 @ X2) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ X2)))) = $true)) )),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f67])).
% 23.24/4.46 thf(f67,plain,(
% 23.24/4.46 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((cDOUBLE @ X1 @ Y0) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ Y0))))) @ X2) = $true)) )),
% 23.24/4.46 inference(pi_clausification,[status(thm)],[f59])).
% 23.24/4.46 thf(f59,plain,(
% 23.24/4.46 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((cDOUBLE @ X1 @ Y0) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ Y0)))))) = $true)) )),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f53])).
% 23.24/4.46 thf(f53,plain,(
% 23.24/4.46 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))) @ X1) = $true)) )),
% 23.24/4.46 inference(pi_clausification,[status(thm)],[f39])).
% 23.24/4.46 thf(f39,plain,(
% 23.24/4.46 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1)))))))) = $true)),
% 23.24/4.46 inference(binary_proxy_clausification,[status(thm)],[f9])).
% 23.24/4.46 thf(f9,plain,(
% 23.24/4.46 ((((cDOUBLE @ c0 @ c0) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) = (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ c0 @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) => (Y2 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y2 @ (cS @ c0) @ c0)) => (Y2 @ Y0 @ Y1)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) = $true)),
% 23.24/4.46 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 23.24/4.46 thf(f7,plain,(
% 23.24/4.46 ($false = ((((cDOUBLE @ c0 @ c0) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) = (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ c0 @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) => (Y2 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y2 @ (cS @ c0) @ c0)) => (Y2 @ Y0 @ Y1)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y1 @ Y0) => ((cDOUBLE @ Y0 @ Y1) | (cDOUBLE @ (cS @ Y0) @ (cS @ Y1))))))))))),
% 23.24/4.46 inference(not_proxy_clausification,[status(thm)],[f6])).
% 23.24/4.46 thf(f6,plain,(
% 23.24/4.46 ((~ ((((cDOUBLE @ c0 @ c0) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) = (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ c0 @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) => (Y2 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y2 @ (cS @ c0) @ c0)) => (Y2 @ Y0 @ Y1)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y1 @ Y0) => ((cDOUBLE @ Y0 @ Y1) | (cDOUBLE @ (cS @ Y0) @ (cS @ Y1)))))))))) = $true)),
% 23.24/4.46 inference(cnf_transformation,[status(thm)],[f5])).
% 23.24/4.46 thf(f5,plain,(
% 23.24/4.46 ((~ ((((cDOUBLE @ c0 @ c0) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) = (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ c0 @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) => (Y2 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y2 @ (cS @ c0) @ c0)) => (Y2 @ Y0 @ Y1)))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y0 @ Y1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y1 @ Y0) => ((cDOUBLE @ Y0 @ Y1) | (cDOUBLE @ (cS @ Y0) @ (cS @ Y1)))))))))) = $true)),
% 23.24/4.46 inference(fool_elimination,[status(thm)],[f4])).
% 23.24/4.46 thf(f4,plain,(
% 23.24/4.46 ~((! [X0 : $i,X1 : $i] : ((cDOUBLE @ X1 @ X0) => (cDOUBLE @ (cS @ X1) @ (cS @ (cS @ X0)))) & ! [X2 : $i,X3 : $i] : ((cHALF @ X3 @ X2) <=> ! [X4 : $i > $i > $o] : (((X4 @ (cS @ c0) @ c0) & ! [X5 : $i,X6 : $i] : ((X4 @ X6 @ X5) => (X4 @ (cS @ (cS @ X6)) @ (cS @ X5))) & (X4 @ c0 @ c0)) => (X4 @ X3 @ X2))) & (cDOUBLE @ c0 @ c0)) => ! [X7 : $i,X8 : $i] : ((cHALF @ X7 @ X8) => ((cDOUBLE @ (cS @ X8) @ (cS @ X7)) | (cDOUBLE @ X8 @ X7))))),
% 23.24/4.46 inference(rectify,[status(thm)],[f2])).
% 23.24/4.46 thf(f2,negated_conjecture,(
% 23.24/4.46 ~((! [X4 : $i,X3 : $i] : ((cDOUBLE @ X3 @ X4) => (cDOUBLE @ (cS @ X3) @ (cS @ (cS @ X4)))) & ! [X1 : $i,X0 : $i] : ((cHALF @ X0 @ X1) <=> ! [X2 : $i > $i > $o] : (((X2 @ (cS @ c0) @ c0) & ! [X4 : $i,X3 : $i] : ((X2 @ X3 @ X4) => (X2 @ (cS @ (cS @ X3)) @ (cS @ X4))) & (X2 @ c0 @ c0)) => (X2 @ X0 @ X1))) & (cDOUBLE @ c0 @ c0)) => ! [X0 : $i,X1 : $i] : ((cHALF @ X0 @ X1) => ((cDOUBLE @ (cS @ X1) @ (cS @ X0)) | (cDOUBLE @ X1 @ X0))))),
% 23.24/4.46 inference(negated_conjecture,[status(cth)],[f1])).
% 23.24/4.46 thf(f1,conjecture,(
% 23.24/4.46 (! [X4 : $i,X3 : $i] : ((cDOUBLE @ X3 @ X4) => (cDOUBLE @ (cS @ X3) @ (cS @ (cS @ X4)))) & ! [X1 : $i,X0 : $i] : ((cHALF @ X0 @ X1) <=> ! [X2 : $i > $i > $o] : (((X2 @ (cS @ c0) @ c0) & ! [X4 : $i,X3 : $i] : ((X2 @ X3 @ X4) => (X2 @ (cS @ (cS @ X3)) @ (cS @ X4))) & (X2 @ c0 @ c0)) => (X2 @ X0 @ X1))) & (cDOUBLE @ c0 @ c0)) => ! [X0 : $i,X1 : $i] : ((cHALF @ X0 @ X1) => ((cDOUBLE @ (cS @ X1) @ (cS @ X0)) | (cDOUBLE @ X1 @ X0)))),
% 23.24/4.46 file('/export/starexec/sandbox2/tmp/tmp.UuU3H8XOJg/DTF2THF_15244.p',cTHM300A)).
% 23.24/4.46 thf(f523,plain,(
% 23.24/4.46 ($false = (((cDOUBLE @ sK8 @ sK7) | (cDOUBLE @ (cS @ sK8) @ (cS @ sK7))) => ((cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK7))) | (cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK7)))))))),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f522])).
% 23.24/4.46 thf(f522,plain,(
% 23.24/4.46 (((^[Y0 : $i]: (((cDOUBLE @ Y0 @ sK7) | (cDOUBLE @ (cS @ Y0) @ (cS @ sK7))) => ((cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ sK7))) | (cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ sK7))))))) @ sK8) = $false)),
% 23.24/4.46 inference(sigma_clausification,[status(thm)],[f495])).
% 23.24/4.46 thf(f495,plain,(
% 23.24/4.46 ((!! @ $i @ (^[Y0 : $i]: (((cDOUBLE @ Y0 @ sK7) | (cDOUBLE @ (cS @ Y0) @ (cS @ sK7))) => ((cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ sK7))) | (cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ sK7)))))))) = $false)),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f491])).
% 23.24/4.46 thf(f491,plain,(
% 23.24/4.46 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0))))))))) @ sK7))),
% 23.24/4.46 inference(sigma_clausification,[status(thm)],[f471])).
% 23.24/4.46 thf(f471,plain,(
% 23.24/4.46 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))))))))))),
% 23.24/4.46 inference(not_proxy_clausification,[status(thm)],[f292])).
% 23.24/4.46 thf(f292,plain,(
% 23.24/4.46 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0))))))))))) = $true)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f291])).
% 23.24/4.46 thf(f291,plain,(
% 23.24/4.46 ((~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))))))))) & $true)) = $true)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f290])).
% 23.24/4.46 thf(f290,plain,(
% 23.24/4.46 ((~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))))))))) & ((cDOUBLE @ c0 @ (cS @ c0)) | $true))) = $true)),
% 23.24/4.46 inference(forward_demodulation,[status(thm)],[f289,f97])).
% 23.24/4.46 thf(f97,plain,(
% 23.24/4.46 ((cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0))) = $true)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f92])).
% 23.24/4.46 thf(f92,plain,(
% 23.24/4.46 (($true => (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0)))) = $true)),
% 23.24/4.46 inference(superposition,[status(thm)],[f68,f75])).
% 23.24/4.46 thf(f75,plain,(
% 23.24/4.46 ((cDOUBLE @ c0 @ c0) = $true)),
% 23.24/4.46 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 23.24/4.46 thf(f40,plain,(
% 23.24/4.46 (((cDOUBLE @ c0 @ c0) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) = (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ c0 @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) => (Y2 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y2 @ (cS @ c0) @ c0)) => (Y2 @ Y0 @ Y1)))))))))) = $true)),
% 23.24/4.46 inference(binary_proxy_clausification,[status(thm)],[f9])).
% 23.24/4.46 thf(f289,plain,(
% 23.24/4.46 ((~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))))))))) & ((cDOUBLE @ c0 @ (cS @ c0)) | (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0)))))) = $true)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f288])).
% 23.24/4.46 thf(f288,plain,(
% 23.24/4.46 ((~ (($true & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0))))))))))) & ((cDOUBLE @ c0 @ (cS @ c0)) | (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0)))))) = $true)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f287])).
% 23.24/4.46 thf(f287,plain,(
% 23.24/4.46 ((~ ((($true | (cDOUBLE @ (cS @ c0) @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0))))))))))) & ((cDOUBLE @ c0 @ (cS @ c0)) | (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0)))))) = $true)),
% 23.24/4.46 inference(forward_demodulation,[status(thm)],[f268,f75])).
% 23.24/4.46 thf(f268,plain,(
% 23.24/4.46 ((~ ((((cDOUBLE @ c0 @ c0) | (cDOUBLE @ (cS @ c0) @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0))))))))))) & ((cDOUBLE @ c0 @ (cS @ c0)) | (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0)))))) = $true)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f267])).
% 23.24/4.46 thf(f267,plain,(
% 23.24/4.46 ((((((cDOUBLE @ c0 @ c0) | (cDOUBLE @ (cS @ c0) @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ Y1 @ Y0) | (cDOUBLE @ (cS @ Y1) @ (cS @ Y0))) => ((cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))) | (cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0))))))))))) & ((cDOUBLE @ c0 @ (cS @ c0)) | (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0))))) => $false) = $true)),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f185])).
% 23.24/4.46 thf(f185,plain,(
% 23.24/4.46 ((((((^[Y0 : $i]: ((^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (cDOUBLE @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))) @ Y2 @ Y3))))) @ Y0 @ Y1) | ((^[Y2 : $i]: ((^[Y3 : $i]: (cDOUBLE @ ((^[Y4 : $i]: ((^[Y5 : $i]: (cS @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (cS @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))) @ c0 @ c0) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (cDOUBLE @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))) @ Y4 @ Y5))))) @ Y2 @ Y3) | ((^[Y4 : $i]: ((^[Y5 : $i]: (cDOUBLE @ ((^[Y6 : $i]: ((^[Y7 : $i]: (cS @ ((^[Y8 : $i]: ((^[Y9 : $i]: (Y9)))) @ Y6 @ Y7))))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (cS @ ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))) @ Y6 @ Y7))))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: (cDOUBLE @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))) @ Y4 @ Y5))))) @ Y2 @ Y3) | ((^[Y4 : $i]: ((^[Y5 : $i]: (cDOUBLE @ ((^[Y6 : $i]: ((^[Y7 : $i]: (cS @ ((^[Y8 : $i]: ((^[Y9 : $i]: (Y9)))) @ Y6 @ Y7))))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (cS @ ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))) @ Y6 @ Y7))))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ (cS @ (cS @ Y0)) @ (cS @ Y1)))))))) & ((^[Y0 : $i]: ((^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (cDOUBLE @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))) @ Y2 @ Y3))))) @ Y0 @ Y1) | ((^[Y2 : $i]: ((^[Y3 : $i]: (cDOUBLE @ ((^[Y4 : $i]: ((^[Y5 : $i]: (cS @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (cS @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))) @ (cS @ c0) @ c0)) => $false) = $true)),
% 23.24/4.46 inference(superposition,[status(thm)],[f178,f23])).
% 23.24/4.46 thf(f23,plain,(
% 23.24/4.46 ($false = ((cDOUBLE @ sK2 @ sK3) | (cDOUBLE @ (cS @ sK2) @ (cS @ sK3))))),
% 23.24/4.46 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 23.24/4.46 thf(f22,plain,(
% 23.24/4.46 ($false = ((cHALF @ sK3 @ sK2) => ((cDOUBLE @ sK2 @ sK3) | (cDOUBLE @ (cS @ sK2) @ (cS @ sK3)))))),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f21])).
% 23.24/4.46 thf(f21,plain,(
% 23.24/4.46 (((^[Y0 : $i]: ((cHALF @ Y0 @ sK2) => ((cDOUBLE @ sK2 @ Y0) | (cDOUBLE @ (cS @ sK2) @ (cS @ Y0))))) @ sK3) = $false)),
% 23.24/4.46 inference(sigma_clausification,[status(thm)],[f15])).
% 23.24/4.46 thf(f15,plain,(
% 23.24/4.46 ($false = (!! @ $i @ (^[Y0 : $i]: ((cHALF @ Y0 @ sK2) => ((cDOUBLE @ sK2 @ Y0) | (cDOUBLE @ (cS @ sK2) @ (cS @ Y0)))))))),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f12])).
% 23.24/4.46 thf(f12,plain,(
% 23.24/4.46 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y1 @ Y0) => ((cDOUBLE @ Y0 @ Y1) | (cDOUBLE @ (cS @ Y0) @ (cS @ Y1))))))) @ sK2))),
% 23.24/4.46 inference(sigma_clausification,[status(thm)],[f8])).
% 23.24/4.46 thf(f8,plain,(
% 23.24/4.46 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y1 @ Y0) => ((cDOUBLE @ Y0 @ Y1) | (cDOUBLE @ (cS @ Y0) @ (cS @ Y1)))))))) = $false)),
% 23.24/4.46 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 23.24/4.46 thf(f178,plain,(
% 23.24/4.46 ( ! [X1 : $i > $i > $o] : ((((((X1 @ c0 @ c0) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y0 @ Y1) => (X1 @ (cS @ (cS @ Y0)) @ (cS @ Y1)))))))) & (X1 @ (cS @ c0) @ c0)) => (X1 @ sK3 @ sK2)) = $true)) )),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f176])).
% 23.24/4.46 thf(f176,plain,(
% 23.24/4.46 ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i > $i > $o]: ((((Y0 @ c0 @ c0) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (cS @ (cS @ Y1)) @ (cS @ Y2)))))))) & (Y0 @ (cS @ c0) @ c0)) => (Y0 @ sK3 @ sK2))) @ X1) = $true)) )),
% 23.24/4.46 inference(pi_clausification,[status(thm)],[f163])).
% 23.24/4.46 thf(f163,plain,(
% 23.24/4.46 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((((Y0 @ c0 @ c0) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (cS @ (cS @ Y1)) @ (cS @ Y2)))))))) & (Y0 @ (cS @ c0) @ c0)) => (Y0 @ sK3 @ sK2)))) = $true)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f162])).
% 23.24/4.46 thf(f162,plain,(
% 23.24/4.46 (($true = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((((Y0 @ c0 @ c0) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (cS @ (cS @ Y1)) @ (cS @ Y2)))))))) & (Y0 @ (cS @ c0) @ c0)) => (Y0 @ sK3 @ sK2))))) = $true)),
% 23.24/4.46 inference(superposition,[status(thm)],[f149,f24])).
% 23.24/4.46 thf(f24,plain,(
% 23.24/4.46 ((cHALF @ sK3 @ sK2) = $true)),
% 23.24/4.46 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 23.24/4.46 thf(f149,plain,(
% 23.24/4.46 ( ! [X2 : $i,X1 : $i] : ((((cHALF @ X1 @ X2) = (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((((Y0 @ c0 @ c0) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (cS @ (cS @ Y1)) @ (cS @ Y2)))))))) & (Y0 @ (cS @ c0) @ c0)) => (Y0 @ X1 @ X2))))) = $true)) )),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f148])).
% 23.24/4.46 thf(f148,plain,(
% 23.24/4.46 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((cHALF @ X1 @ Y0) = (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((((Y1 @ c0 @ c0) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (Y1 @ (cS @ (cS @ Y2)) @ (cS @ Y3)))))))) & (Y1 @ (cS @ c0) @ c0)) => (Y1 @ X1 @ Y0)))))) @ X2) = $true)) )),
% 23.24/4.46 inference(pi_clausification,[status(thm)],[f120])).
% 23.24/4.46 thf(f120,plain,(
% 23.24/4.46 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((cHALF @ X1 @ Y0) = (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((((Y1 @ c0 @ c0) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (Y1 @ (cS @ (cS @ Y2)) @ (cS @ Y3)))))))) & (Y1 @ (cS @ c0) @ c0)) => (Y1 @ X1 @ Y0))))))) = $true)) )),
% 23.24/4.46 inference(beta_eta_normalization,[status(thm)],[f114])).
% 23.24/4.46 thf(f114,plain,(
% 23.24/4.46 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) = (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ c0 @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) => (Y2 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y2 @ (cS @ c0) @ c0)) => (Y2 @ Y0 @ Y1)))))))) @ X1) = $true)) )),
% 23.24/4.46 inference(pi_clausification,[status(thm)],[f74])).
% 23.24/4.46 thf(f74,plain,(
% 23.24/4.46 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) = (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ c0 @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y3 @ Y4) => (Y2 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y2 @ (cS @ c0) @ c0)) => (Y2 @ Y0 @ Y1))))))))) = $true)),
% 23.24/4.46 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 23.24/4.46 thf(f569,plain,(
% 23.24/4.46 (((cDOUBLE @ (cS @ sK8) @ (cS @ sK7)) => ((cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK7))) | (cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK7)))))) = $false)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f557])).
% 23.24/4.46 thf(f557,plain,(
% 23.24/4.46 ($false = (($false | (cDOUBLE @ (cS @ sK8) @ (cS @ sK7))) => ((cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK7))) | (cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK7)))))))),
% 23.24/4.46 inference(superposition,[status(thm)],[f523,f552])).
% 23.24/4.46 thf(f552,plain,(
% 23.24/4.46 ((cDOUBLE @ sK8 @ sK7) = $false)),
% 23.24/4.46 inference(trivial_inequality_removal,[status(thm)],[f551])).
% 23.24/4.46 thf(f551,plain,(
% 23.24/4.46 ($false = $true) | ((cDOUBLE @ sK8 @ sK7) = $false)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f550])).
% 23.24/4.46 thf(f550,plain,(
% 23.24/4.46 ((cDOUBLE @ sK8 @ sK7) = $false) | ((((cDOUBLE @ sK8 @ sK7) | (cDOUBLE @ (cS @ sK8) @ (cS @ sK7))) => $true) = $false)),
% 23.24/4.46 inference(boolean_simplification,[status(thm)],[f546])).
% 23.24/4.46 thf(f546,plain,(
% 23.24/4.46 ((((cDOUBLE @ sK8 @ sK7) | (cDOUBLE @ (cS @ sK8) @ (cS @ sK7))) => ($true | (cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK7)))))) = $false) | ((cDOUBLE @ sK8 @ sK7) = $false)),
% 23.24/4.46 inference(superposition,[status(thm)],[f523,f69])).
% 23.24/4.46 % SZS output end Proof for DTF2THF_15244
% 23.24/4.46 % (15476)------------------------------
% 23.24/4.46 % (15476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.24/4.46 % (15476)Termination reason: Refutation
% 23.24/4.46
% 23.24/4.46 % (15476)Memory used [KB]: 8187
% 23.24/4.46 % (15476)Time elapsed: 0.196 s
% 23.24/4.46 % (15476)Instructions burned: 413 (million)
% 23.24/4.46 % (15476)------------------------------
% 23.24/4.46 % (15476)------------------------------
% 23.24/4.46 % (15342)Success in time 3.335 s
%------------------------------------------------------------------------------