%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : MSC021^5 : 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 : n015.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 09:21:41 AM UTC 2026
% Result : Theorem 14.47s 3.16s
% Output : Refutation 14.47s
% 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 : 650 ( 63 equ; 0 cnn)
% Maximal formula atoms : 13 ( 10 avg)
% Number of connectives : 1515 ( 11 ~; 68 |; 78 &;1175 @)
% ( 0 <=>; 87 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 8 con; 0-2 aty)
% ( 96 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 226 ( 177 ^; 49 !; 0 ?; 226 :)
% 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(f1199,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f1198]) ).
thf(f1198,plain,
$true = $false,
inference(boolean_simplification,[status(thm)],[f1197]) ).
thf(f1197,plain,
( $false
= ( $false
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK6 ) ) ) )
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK6 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f1175,f1117]) ).
thf(f1117,plain,
( $false
= ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1116]) ).
thf(f1116,plain,
( ( $true = $false )
| ( $false
= ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f1115]) ).
thf(f1115,plain,
( ( ( ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) )
| ( cDOUBLE @ sK8 @ sK6 ) )
=> $true )
= $false )
| ( $false
= ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f1111]) ).
thf(f1111,plain,
( ( $false
= ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) ) )
| ( ( ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) )
| ( cDOUBLE @ sK8 @ sK6 ) )
=> ( $true
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK6 ) ) ) ) )
= $false ) ),
inference(superposition,[status(thm)],[f1062,f69]) ).
thf(f69,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( cDOUBLE @ ( cS @ X2 ) @ ( cS @ ( cS @ X1 ) ) ) )
| ( $false
= ( cDOUBLE @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f68]) ).
thf(f68,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( cDOUBLE @ X2 @ X1 )
=> ( cDOUBLE @ ( cS @ X2 ) @ ( cS @ ( cS @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f67]) ).
thf(f67,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( cDOUBLE @ Y0 @ X1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ X1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f58]) ).
thf(f58,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( cDOUBLE @ Y0 @ X1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f53]) ).
thf(f53,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( cHALF @ Y2 @ Y1 )
& ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $false
= ( ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( cHALF @ Y2 @ Y1 )
& ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( cHALF @ Y2 @ Y1 )
& ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( cHALF @ Y2 @ Y1 )
& ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: $i,X1: $i] :
( ( cDOUBLE @ X0 @ X1 )
=> ( cDOUBLE @ ( cS @ X0 ) @ ( cS @ ( cS @ X1 ) ) ) )
& ! [X2: $i,X3: $i,X4: $i > $i > $o] :
( ( ( X4 @ c0 @ c0 )
& ! [X5: $i,X6: $i] :
( ( X4 @ X6 @ X5 )
=> ( X4 @ ( cS @ ( cS @ X6 ) ) @ ( cS @ X5 ) ) )
& ( X4 @ ( cS @ c0 ) @ c0 )
& ( cHALF @ X2 @ X3 ) )
=> ( X4 @ X2 @ X3 ) )
& ( cDOUBLE @ c0 @ c0 ) )
=> ! [X7: $i,X8: $i] :
( ( cHALF @ X8 @ X7 )
=> ( ( cDOUBLE @ X7 @ X8 )
| ( cDOUBLE @ ( cS @ X7 ) @ ( cS @ X8 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X0: $i,X1: $i] :
( ( cDOUBLE @ X0 @ X1 )
=> ( cDOUBLE @ ( cS @ X0 ) @ ( cS @ ( cS @ X1 ) ) ) )
& ! [X3: $i,X4: $i,X2: $i > $i > $o] :
( ( ( X2 @ c0 @ c0 )
& ! [X1: $i,X0: $i] :
( ( X2 @ X0 @ X1 )
=> ( X2 @ ( cS @ ( cS @ X0 ) ) @ ( cS @ X1 ) ) )
& ( X2 @ ( cS @ c0 ) @ c0 )
& ( cHALF @ X3 @ X4 ) )
=> ( X2 @ X3 @ X4 ) )
& ( cDOUBLE @ c0 @ c0 ) )
=> ! [X4: $i,X3: $i] :
( ( cHALF @ X3 @ X4 )
=> ( ( cDOUBLE @ X4 @ X3 )
| ( cDOUBLE @ ( cS @ X4 ) @ ( cS @ X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( ! [X0: $i,X1: $i] :
( ( cDOUBLE @ X0 @ X1 )
=> ( cDOUBLE @ ( cS @ X0 ) @ ( cS @ ( cS @ X1 ) ) ) )
& ! [X3: $i,X4: $i,X2: $i > $i > $o] :
( ( ( X2 @ c0 @ c0 )
& ! [X1: $i,X0: $i] :
( ( X2 @ X0 @ X1 )
=> ( X2 @ ( cS @ ( cS @ X0 ) ) @ ( cS @ X1 ) ) )
& ( X2 @ ( cS @ c0 ) @ c0 )
& ( cHALF @ X3 @ X4 ) )
=> ( X2 @ X3 @ X4 ) )
& ( cDOUBLE @ c0 @ c0 ) )
=> ! [X4: $i,X3: $i] :
( ( cHALF @ X3 @ X4 )
=> ( ( cDOUBLE @ X4 @ X3 )
| ( cDOUBLE @ ( cS @ X4 ) @ ( cS @ X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QYd64hO0fT/DTF2THF_23690.p',cTHM300) ).
thf(f1062,plain,
( ( ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) )
| ( cDOUBLE @ sK8 @ sK6 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK6 ) ) ) )
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK6 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f1061]) ).
thf(f1061,plain,
( $false
= ( ^ [Y0: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ sK6 ) )
| ( cDOUBLE @ Y0 @ sK6 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ sK6 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ sK6 ) ) ) ) )
@ sK8 ) ),
inference(sigma_clausification,[status(thm)],[f957]) ).
thf(f957,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ sK6 ) )
| ( cDOUBLE @ Y0 @ sK6 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ sK6 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ sK6 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f953]) ).
thf(f953,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
@ sK6 )
= $false ),
inference(sigma_clausification,[status(thm)],[f917]) ).
thf(f917,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f757]) ).
thf(f757,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f756]) ).
thf(f756,plain,
( ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
& $true ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f755]) ).
thf(f755,plain,
( ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
& ( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) )
| $true ) ) )
= $true ),
inference(forward_demodulation,[status(thm)],[f754,f75]) ).
thf(f75,plain,
( ( cDOUBLE @ c0 @ c0 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
thf(f40,plain,
( $true
= ( ( cDOUBLE @ c0 @ c0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( cHALF @ Y2 @ Y1 )
& ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f9]) ).
thf(f754,plain,
( $true
= ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
& ( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) )
| ( cDOUBLE @ c0 @ c0 ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f753]) ).
thf(f753,plain,
( $true
= ( ~ ( $true
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
& ( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) )
| ( cDOUBLE @ c0 @ c0 ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f752]) ).
thf(f752,plain,
( $true
= ( ~ ( ( $true
| ( cDOUBLE @ c0 @ ( cS @ c0 ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
& ( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) )
| ( cDOUBLE @ c0 @ c0 ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f575,f96]) ).
thf(f96,plain,
( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f92]) ).
thf(f92,plain,
( $true
= ( $true
=> ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference(superposition,[status(thm)],[f68,f75]) ).
thf(f575,plain,
( $true
= ( ~ ( ( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) )
| ( cDOUBLE @ c0 @ ( cS @ c0 ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
& ( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) )
| ( cDOUBLE @ c0 @ c0 ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f574]) ).
thf(f574,plain,
( $true
= ( ( ( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) )
| ( cDOUBLE @ c0 @ ( cS @ c0 ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) )
& ( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) )
| ( cDOUBLE @ c0 @ c0 ) ) )
=> $false ) ),
inference(beta_eta_normalization,[status(thm)],[f517]) ).
thf(f517,plain,
( $true
= ( ( ( ^ [Y0: $i,Y1: $i] :
( ( ^ [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 )
| ( ^ [Y2: $i,Y3: $i] :
( cDOUBLE
@ ( ^ [Y4: $i,Y5: $i] : Y5
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ ( cS @ c0 )
@ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ^ [Y2: $i,Y3: $i] :
( ( ^ [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 )
| ( ^ [Y4: $i,Y5: $i] :
( cDOUBLE
@ ( ^ [Y6: $i,Y7: $i] : Y7
@ Y4
@ Y5 )
@ ( ^ [Y6: $i,Y7: $i] : Y6
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 )
=> ( ^ [Y2: $i,Y3: $i] :
( ( ^ [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 )
| ( ^ [Y4: $i,Y5: $i] :
( cDOUBLE
@ ( ^ [Y6: $i,Y7: $i] : Y7
@ Y4
@ Y5 )
@ ( ^ [Y6: $i,Y7: $i] : Y6
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ ( cS @ ( cS @ Y0 ) )
@ ( cS @ Y1 ) ) ) ) )
& ( ^ [Y0: $i,Y1: $i] :
( ( ^ [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 )
| ( ^ [Y2: $i,Y3: $i] :
( cDOUBLE
@ ( ^ [Y4: $i,Y5: $i] : Y5
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ c0
@ c0 ) )
=> $false ) ),
inference(superposition,[status(thm)],[f265,f23]) ).
thf(f23,plain,
( ( ( cDOUBLE @ ( cS @ sK3 ) @ ( cS @ sK2 ) )
| ( cDOUBLE @ sK3 @ sK2 ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
( $false
= ( ( cHALF @ sK2 @ sK3 )
=> ( ( cDOUBLE @ ( cS @ sK3 ) @ ( cS @ sK2 ) )
| ( cDOUBLE @ sK3 @ sK2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
( $false
= ( ^ [Y0: $i] :
( ( cHALF @ sK2 @ Y0 )
=> ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ sK2 ) )
| ( cDOUBLE @ Y0 @ sK2 ) ) )
@ sK3 ) ),
inference(sigma_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( cHALF @ sK2 @ Y0 )
=> ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ sK2 ) )
| ( cDOUBLE @ Y0 @ sK2 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f12]) ).
thf(f12,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f265,plain,
! [X0: $i > $i > $o] :
( ( ( ( X0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X0 @ Y0 @ Y1 )
=> ( X0 @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ Y1 ) ) ) ) )
& ( X0 @ c0 @ c0 ) )
=> ( X0 @ sK2 @ sK3 ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f220]) ).
thf(f220,plain,
! [X0: $i > $i > $o] :
( $true
= ( ( $true
& ( X0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X0 @ Y0 @ Y1 )
=> ( X0 @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ Y1 ) ) ) ) )
& ( X0 @ c0 @ c0 ) )
=> ( X0 @ sK2 @ sK3 ) ) ),
inference(superposition,[status(thm)],[f163,f24]) ).
thf(f24,plain,
( $true
= ( cHALF @ sK2 @ sK3 ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f163,plain,
! [X2: $i,X3: $i,X1: $i > $i > $o] :
( ( ( ( cHALF @ X3 @ X2 )
& ( X1 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y0 @ Y1 )
=> ( X1 @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ Y1 ) ) ) ) )
& ( X1 @ c0 @ c0 ) )
=> ( X1 @ X3 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f162]) ).
thf(f162,plain,
! [X2: $i,X3: $i,X1: $i > $i > $o] :
( $true
= ( ^ [Y0: $i] :
( ( ( cHALF @ Y0 @ X2 )
& ( X1 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( X1 @ Y1 @ Y2 )
=> ( X1 @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ Y2 ) ) ) ) )
& ( X1 @ c0 @ c0 ) )
=> ( X1 @ Y0 @ X2 ) )
@ X3 ) ),
inference(pi_clausification,[status(thm)],[f149]) ).
thf(f149,plain,
! [X2: $i,X1: $i > $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cHALF @ Y0 @ X2 )
& ( X1 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( X1 @ Y1 @ Y2 )
=> ( X1 @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ Y2 ) ) ) ) )
& ( X1 @ c0 @ c0 ) )
=> ( X1 @ Y0 @ X2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f148]) ).
thf(f148,plain,
! [X2: $i,X1: $i > $i > $o] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cHALF @ Y1 @ Y0 )
& ( X1 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( X1 @ Y2 @ Y3 )
=> ( X1 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( X1 @ c0 @ c0 ) )
=> ( X1 @ Y1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f121]) ).
thf(f121,plain,
! [X1: $i > $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cHALF @ Y1 @ Y0 )
& ( X1 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( X1 @ Y2 @ Y3 )
=> ( X1 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( X1 @ c0 @ c0 ) )
=> ( X1 @ Y1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f114]) ).
thf(f114,plain,
! [X1: $i > $i > $o] :
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( cHALF @ Y2 @ Y1 )
& ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f74]) ).
thf(f74,plain,
( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( cHALF @ Y2 @ Y1 )
& ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y4 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
thf(f1175,plain,
( $false
= ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK6 ) ) ) )
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK6 ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f1156]) ).
thf(f1156,plain,
( ( ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) )
| $false )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK6 ) ) ) )
| ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ ( cS @ sK6 ) ) ) ) )
= $false ),
inference(superposition,[status(thm)],[f1062,f1114]) ).
thf(f1114,plain,
( $false
= ( cDOUBLE @ sK8 @ sK6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1113]) ).
thf(f1113,plain,
( ( $false
= ( cDOUBLE @ sK8 @ sK6 ) )
| ( $true = $false ) ),
inference(boolean_simplification,[status(thm)],[f1112]) ).
thf(f1112,plain,
( ( $false
= ( cDOUBLE @ sK8 @ sK6 ) )
| ( ( ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) )
| ( cDOUBLE @ sK8 @ sK6 ) )
=> $true )
= $false ) ),
inference(boolean_simplification,[status(thm)],[f1110]) ).
thf(f1110,plain,
( ( ( ( ( cDOUBLE @ ( cS @ sK8 ) @ ( cS @ sK6 ) )
| ( cDOUBLE @ sK8 @ sK6 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK8 ) ) @ ( cS @ ( cS @ ( cS @ sK6 ) ) ) )
| $true ) )
= $false )
| ( $false
= ( cDOUBLE @ sK8 @ sK6 ) ) ),
inference(superposition,[status(thm)],[f1062,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MSC021^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n015.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 10:42:16 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.20/0.45 ---- Original DTF file ---
% 0.20/0.45 thf(spec,logic,$$dhol).
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 % File : MSC021^5 : TPTP v9.2.1. Released v4.0.0.
% 0.20/0.45 % Domain : Miscellaneous
% 0.20/0.45 % Problem : TPS problem THM300
% 0.20/0.45 % Version : Especial.
% 0.20/0.45 % English : Relation between HALF and DOUBLE functions.
% 0.20/0.45
% 0.20/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.45 % Source : [Bro09]
% 0.20/0.45 % Names : tps_0473 [Bro09]
% 0.20/0.45 % : THM300 [TPS]
% 0.20/0.45
% 0.20/0.45 % Status : Theorem
% 0.20/0.45 % Rating : 0.83 v9.1.0, 0.75 v9.0.0, 0.92 v8.2.0, 0.91 v8.1.0, 0.92 v7.4.0, 0.89 v7.3.0, 0.90 v7.2.0, 0.88 v7.1.0, 0.86 v7.0.0, 0.88 v6.4.0, 0.86 v6.3.0, 0.83 v5.5.0, 1.00 v4.0.0
% 0.20/0.45 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.20/0.45 % Number of atoms : 7 ( 0 equ; 0 cnn)
% 0.20/0.45 % Maximal formula atoms : 7 ( 7 avg)
% 0.20/0.45 % Number of connectives : 44 ( 0 ~; 1 |; 5 &; 33 @)
% 0.20/0.45 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 0.20/0.45 % Maximal formula depth : 18 ( 18 avg)
% 0.20/0.45 % Number of types : 2 ( 0 usr)
% 0.20/0.45 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.20/0.45 % Number of symbols : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.20/0.45 % Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% 0.20/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.45
% 0.20/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.45 % :
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 thf(cS,type,
% 0.20/0.45 cS: $i > $i ).
% 0.20/0.45
% 0.20/0.45 thf(cDOUBLE,type,
% 0.20/0.45 cDOUBLE: $i > $i > $o ).
% 0.20/0.45
% 0.20/0.45 thf(cHALF,type,
% 0.20/0.45 cHALF: $i > $i > $o ).
% 0.20/0.45
% 0.20/0.45 thf(c0,type,
% 0.20/0.45 c0: $i ).
% 0.20/0.45
% 0.20/0.45 thf(cTHM300,conjecture,
% 0.20/0.45 ( ( ( cDOUBLE @ c0 @ c0 )
% 0.20/0.45 & ! [Xx: $i,Xy: $i] :
% 0.20/0.45 ( ( cDOUBLE @ Xx @ Xy )
% 0.20/0.45 => ( cDOUBLE @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) )
% 0.20/0.45 & ! [Q: $i > $i > $o,Xu: $i,Xv: $i] :
% 0.20/0.45 ( ( ( cHALF @ Xu @ Xv )
% 0.20/0.45 & ( Q @ c0 @ c0 )
% 0.20/0.45 & ( Q @ ( cS @ c0 ) @ c0 )
% 0.20/0.45 & ! [Xx: $i,Xy: $i] :
% 0.20/0.45 ( ( Q @ Xx @ Xy )
% 0.20/0.45 => ( Q @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) ) )
% 0.20/0.45 => ( Q @ Xu @ Xv ) ) )
% 0.20/0.45 => ! [Xu: $i,Xv: $i] :
% 0.20/0.45 ( ( cHALF @ Xu @ Xv )
% 0.20/0.45 => ( ( cDOUBLE @ Xv @ Xu )
% 0.20/0.45 | ( cDOUBLE @ ( cS @ Xv ) @ ( cS @ Xu ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 ------------------------
% 1.49/1.24 ---- Embedded in THF ---
% 1.49/1.24 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.24 %%% Generated on Tue Feb 24 10:42:17 EST 2026
% 1.49/1.24 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.24 %%% Logic specification used:
% 1.49/1.24 %%% thf(spec, logic, $$dhol).
% 1.49/1.24
% 1.49/1.24 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.QYd64hO0fT/DTF2DTF23690.p
% See solution above
% 1.49/1.24 ------------------------
% 1.49/1.25 ---- Cleaned THF ---
% 1.49/1.25 thf(cS,type,
% 1.49/1.25 cS: $i > $i ).
% 1.49/1.25
% 1.49/1.25 thf(cDOUBLE,type,
% 1.49/1.25 cDOUBLE: $i > $i > $o ).
% 1.49/1.25
% 1.49/1.25 thf(cHALF,type,
% 1.49/1.25 cHALF: $i > $i > $o ).
% 1.49/1.25
% 1.49/1.25 thf(c0,type,
% 1.49/1.25 c0: $i ).
% 1.49/1.25
% 1.49/1.25 thf(cTHM300,conjecture,
% 1.49/1.25 ( ( ( cDOUBLE @ c0 @ c0 )
% 1.49/1.25 & ! [Xx: $i,Xy: $i] :
% 1.49/1.25 ( ( cDOUBLE @ Xx @ Xy )
% 1.49/1.25 => ( cDOUBLE @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) )
% 1.49/1.25 & ! [Q: $i > $i > $o,Xu: $i,Xv: $i] :
% 1.49/1.25 ( ( ( cHALF @ Xu @ Xv )
% 1.49/1.25 & ( Q @ c0 @ c0 )
% 1.49/1.25 & ( Q @ ( cS @ c0 ) @ c0 )
% 1.49/1.25 & ! [Xx: $i,Xy: $i] :
% 1.49/1.25 ( ( Q @ Xx @ Xy )
% 1.49/1.25 => ( Q @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) ) )
% 1.49/1.25 => ( Q @ Xu @ Xv ) ) )
% 1.49/1.25 => ! [Xu: $i,Xv: $i] :
% 1.49/1.25 ( ( cHALF @ Xu @ Xv )
% 1.49/1.25 => ( ( cDOUBLE @ Xv @ Xu )
% 1.49/1.25 | ( cDOUBLE @ ( cS @ Xv ) @ ( cS @ Xu ) ) ) ) ) ).
% 1.49/1.25 ------------------------
% 1.49/1.26 % (23792)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_23690 for (2999ds/4Mi)
% 1.49/1.26 % (23797)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/18Mi)
% 1.49/1.27 % (23792)Instruction limit reached!
% 1.49/1.27 % (23792)------------------------------
% 1.49/1.27 % (23792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27 % (23792)Termination reason: Unknown
% 1.49/1.27 % (23792)Termination phase: Saturation
% 1.49/1.27
% 1.49/1.27 % (23792)Memory used [KB]: 5500
% 1.49/1.27 % (23792)Time elapsed: 0.003 s
% 1.49/1.27 % (23792)Instructions burned: 4 (million)
% 1.49/1.27 % (23792)------------------------------
% 1.49/1.27 % (23792)------------------------------
% 1.49/1.27 % (23797)Instruction limit reached!
% 1.49/1.27 % (23797)------------------------------
% 1.49/1.27 % (23797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27 % (23797)Termination reason: Unknown
% 1.49/1.27 % (23797)Termination phase: Saturation
% 1.49/1.27
% 1.49/1.27 % (23797)Memory used [KB]: 5628
% 1.49/1.27 % (23797)Time elapsed: 0.007 s
% 1.49/1.27 % (23797)Instructions burned: 18 (million)
% 1.49/1.27 % (23797)------------------------------
% 1.49/1.27 % (23797)------------------------------
% 1.49/1.27 % (23791)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/183Mi)
% 1.49/1.27 % (23796)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_23690 for (2999ds/275Mi)
% 1.49/1.27 % (23795)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_23690 for (2999ds/2Mi)
% 1.49/1.27 % (23795)Instruction limit reached!
% 1.49/1.27 % (23795)------------------------------
% 1.49/1.27 % (23795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27 % (23795)Termination reason: Unknown
% 1.49/1.27 % (23795)Termination phase: Property scanning
% 1.49/1.27
% 1.49/1.27 % (23795)Memory used [KB]: 895
% 1.49/1.27 % (23795)Time elapsed: 0.003 s
% 1.49/1.27 % (23795)Instructions burned: 2 (million)
% 1.49/1.27 % (23795)------------------------------
% 1.49/1.27 % (23795)------------------------------
% 1.49/1.27 % (23794)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/2Mi)
% 1.49/1.28 % (23794)Instruction limit reached!
% 1.49/1.28 % (23794)------------------------------
% 1.49/1.28 % (23794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (23794)Termination reason: Unknown
% 1.49/1.28 % (23794)Termination phase: Saturation
% 1.49/1.28
% 1.49/1.28 % (23794)Memory used [KB]: 5500
% 1.49/1.28 % (23794)Time elapsed: 0.003 s
% 1.49/1.28 % (23794)Instructions burned: 2 (million)
% 1.49/1.28 % (23794)------------------------------
% 1.49/1.28 % (23794)------------------------------
% 1.49/1.28 % (23803)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/3Mi)
% 1.49/1.28 % (23803)Instruction limit reached!
% 1.49/1.28 % (23803)------------------------------
% 1.49/1.28 % (23803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (23803)Termination reason: Unknown
% 1.49/1.28 % (23803)Termination phase: Saturation
% 1.49/1.28
% 1.49/1.28 % (23803)Memory used [KB]: 5500
% 1.49/1.28 % (23803)Time elapsed: 0.003 s
% 1.49/1.28 % (23803)Instructions burned: 4 (million)
% 1.49/1.28 % (23803)------------------------------
% 1.49/1.28 % (23803)------------------------------
% 1.49/1.28 % (23793)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_23690 for (2999ds/27Mi)
% 1.49/1.28 % (23807)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_23690 for (2999ds/37Mi)
% 1.49/1.29 % (23816)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_23690 for (2999ds/1041Mi)
% 1.49/1.29 % (23807)Instruction limit reached!
% 1.49/1.29 % (23807)------------------------------
% 1.49/1.29 % (23807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (23807)Termination reason: Unknown
% 1.49/1.29 % (23807)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (23807)Memory used [KB]: 5884
% 1.49/1.29 % (23807)Time elapsed: 0.012 s
% 1.49/1.29 % (23807)Instructions burned: 38 (million)
% 1.49/1.29 % (23807)------------------------------
% 1.49/1.29 % (23807)------------------------------
% 1.49/1.29 % (23796)Refutation not found, incomplete strategy
% 1.49/1.29 % (23796)------------------------------
% 1.49/1.29 % (23796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (23796)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.29
% 1.49/1.29
% 1.49/1.29 % (23796)Memory used [KB]: 5628
% 1.49/1.29 % (23796)Time elapsed: 0.021 s
% 1.49/1.29 % (23796)Instructions burned: 31 (million)
% 1.49/1.29 % (23796)------------------------------
% 1.49/1.29 % (23796)------------------------------
% 1.49/1.29 % (23812)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_23690 for (2999ds/15Mi)
% 1.49/1.29 % (23814)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_23690 for (2999ds/3Mi)
% 1.49/1.29 % (23793)Instruction limit reached!
% 1.49/1.29 % (23793)------------------------------
% 1.49/1.29 % (23793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (23793)Termination reason: Unknown
% 1.49/1.29 % (23793)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (23793)Memory used [KB]: 5628
% 1.49/1.29 % (23793)Time elapsed: 0.018 s
% 1.49/1.29 % (23793)Instructions burned: 28 (million)
% 1.49/1.29 % (23793)------------------------------
% 1.49/1.29 % (23793)------------------------------
% 1.49/1.29 % (23814)Instruction limit reached!
% 1.49/1.29 % (23814)------------------------------
% 1.49/1.29 % (23814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (23814)Termination reason: Unknown
% 1.49/1.29 % (23814)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (23814)Memory used [KB]: 5500
% 1.49/1.29 % (23814)Time elapsed: 0.004 s
% 1.49/1.29 % (23814)Instructions burned: 3 (million)
% 1.49/1.29 % (23814)------------------------------
% 1.49/1.29 % (23814)------------------------------
% 1.57/1.30 % (23817)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/7Mi)
% 1.57/1.30 % (23812)Instruction limit reached!
% 1.57/1.30 % (23812)------------------------------
% 1.57/1.30 % (23812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.30 % (23812)Termination reason: Unknown
% 1.57/1.30 % (23812)Termination phase: Saturation
% 1.57/1.30
% 1.57/1.30 % (23812)Memory used [KB]: 5628
% 1.57/1.30 % (23812)Time elapsed: 0.011 s
% 1.57/1.30 % (23812)Instructions burned: 16 (million)
% 1.57/1.30 % (23812)------------------------------
% 1.57/1.30 % (23812)------------------------------
% 1.57/1.30 % (23817)Instruction limit reached!
% 1.57/1.30 % (23817)------------------------------
% 1.57/1.30 % (23817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.30 % (23817)Termination reason: Unknown
% 1.57/1.30 % (23817)Termination phase: Saturation
% 1.57/1.30
% 1.57/1.30 % (23817)Memory used [KB]: 1151
% 1.57/1.30 % (23817)Time elapsed: 0.004 s
% 1.57/1.30 % (23817)Instructions burned: 9 (million)
% 1.57/1.30 % (23817)------------------------------
% 1.57/1.30 % (23817)------------------------------
% 1.57/1.31 % (23818)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/16Mi)
% 1.57/1.31 % (23822)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/3Mi)
% 1.57/1.31 % (23819)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_23690 for (2999ds/3Mi)
% 1.57/1.31 % (23820)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_23690 for (2999ds/3Mi)
% 1.57/1.31 % (23822)Instruction limit reached!
% 1.57/1.31 % (23822)------------------------------
% 1.57/1.31 % (23822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.31 % (23822)Termination reason: Unknown
% 1.57/1.31 % (23822)Termination phase: Saturation
% 1.57/1.31
% 1.57/1.31 % (23822)Memory used [KB]: 5500
% 1.57/1.31 % (23822)Time elapsed: 0.002 s
% 1.57/1.31 % (23822)Instructions burned: 4 (million)
% 1.57/1.31 % (23822)------------------------------
% 1.57/1.31 % (23822)------------------------------
% 1.57/1.31 % (23819)Instruction limit reached!
% 1.57/1.31 % (23819)------------------------------
% 1.57/1.31 % (23819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.31 % (23819)Termination reason: Unknown
% 1.57/1.31 % (23819)Termination phase: Twee Goal Transformation
% 1.57/1.31
% 1.57/1.31 % (23819)Memory used [KB]: 1023
% 1.57/1.31 % (23819)Time elapsed: 0.004 s
% 1.57/1.31 % (23819)Instructions burned: 3 (million)
% 1.57/1.31 % (23819)------------------------------
% 1.57/1.31 % (23819)------------------------------
% 1.57/1.31 % (23820)Instruction limit reached!
% 1.57/1.31 % (23820)------------------------------
% 1.57/1.31 % (23820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.31 % (23820)Termination reason: Unknown
% 1.57/1.31 % (23820)Termination phase: Saturation
% 1.57/1.31
% 1.57/1.31 % (23820)Memory used [KB]: 1023
% 1.57/1.31 % (23820)Time elapsed: 0.004 s
% 1.57/1.31 % (23820)Instructions burned: 4 (million)
% 1.57/1.31 % (23820)------------------------------
% 1.57/1.31 % (23820)------------------------------
% 1.57/1.32 % (23821)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/7Mi)
% 1.57/1.32 % (23818)Instruction limit reached!
% 1.57/1.32 % (23818)------------------------------
% 1.57/1.32 % (23818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.32 % (23818)Termination reason: Unknown
% 1.57/1.32 % (23818)Termination phase: Saturation
% 1.57/1.32
% 1.57/1.32 % (23818)Memory used [KB]: 5628
% 1.57/1.32 % (23818)Time elapsed: 0.012 s
% 1.57/1.32 % (23818)Instructions burned: 16 (million)
% 1.57/1.32 % (23818)------------------------------
% 1.57/1.32 % (23818)------------------------------
% 1.57/1.32 % (23823)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/4Mi)
% 1.57/1.32 % (23821)Instruction limit reached!
% 1.57/1.32 % (23821)------------------------------
% 1.57/1.32 % (23821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.32 % (23821)Termination reason: Unknown
% 1.57/1.32 % (23821)Termination phase: Saturation
% 1.57/1.32
% 1.57/1.32 % (23821)Memory used [KB]: 5500
% 1.57/1.32 % (23821)Time elapsed: 0.007 s
% 1.57/1.32 % (23821)Instructions burned: 8 (million)
% 1.57/1.32 % (23821)------------------------------
% 1.57/1.32 % (23821)------------------------------
% 1.57/1.32 % (23823)Instruction limit reached!
% 1.57/1.32 % (23823)------------------------------
% 1.57/1.32 % (23823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.32 % (23823)Termination reason: Unknown
% 1.57/1.32 % (23823)Termination phase: Saturation
% 1.57/1.32
% 1.57/1.32 % (23823)Memory used [KB]: 5500
% 1.57/1.32 % (23823)Time elapsed: 0.027 s
% 1.57/1.32 % (23823)Instructions burned: 6 (million)
% 1.57/1.32 % (23823)------------------------------
% 1.57/1.32 % (23823)------------------------------
% 1.57/1.33 % (23825)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/710Mi)
% 1.57/1.33 % (23824)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/18Mi)
% 1.57/1.33 % (23828)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_23690 for (2999ds/21Mi)
% 1.57/1.34 % (23824)Refutation not found, incomplete strategy
% 1.57/1.34 % (23824)------------------------------
% 1.57/1.34 % (23824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.34 % (23824)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.34
% 1.57/1.34
% 1.57/1.34 % (23824)Memory used [KB]: 5500
% 1.57/1.34 % (23824)Time elapsed: 0.005 s
% 1.57/1.34 % (23824)Instructions burned: 5 (million)
% 1.57/1.34 % (23824)------------------------------
% 1.57/1.34 % (23824)------------------------------
% 1.57/1.34 % (23826)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/6Mi)
% 1.57/1.34 % (23827)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_23690 for (2999ds/902Mi)
% 1.57/1.34 % (23826)Instruction limit reached!
% 1.57/1.34 % (23826)------------------------------
% 1.57/1.34 % (23826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.34 % (23826)Termination reason: Unknown
% 1.57/1.34 % (23826)Termination phase: Saturation
% 1.57/1.34
% 1.57/1.34 % (23826)Memory used [KB]: 5500
% 1.57/1.34 % (23826)Time elapsed: 0.006 s
% 1.57/1.34 % (23826)Instructions burned: 6 (million)
% 1.57/1.34 % (23826)------------------------------
% 1.57/1.34 % (23826)------------------------------
% 1.57/1.34 % (23828)Instruction limit reached!
% 1.57/1.34 % (23828)------------------------------
% 1.57/1.34 % (23828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.34 % (23828)Termination reason: Unknown
% 1.57/1.34 % (23828)Termination phase: Saturation
% 1.57/1.34
% 1.57/1.34 % (23828)Memory used [KB]: 5628
% 1.57/1.34 % (23828)Time elapsed: 0.008 s
% 1.57/1.34 % (23828)Instructions burned: 23 (million)
% 1.57/1.34 % (23828)------------------------------
% 1.57/1.34 % (23828)------------------------------
% 1.57/1.35 % (23791)Instruction limit reached!
% 1.57/1.35 % (23791)------------------------------
% 1.57/1.35 % (23791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.35 % (23791)Termination reason: Unknown
% 1.57/1.35 % (23791)Termination phase: Saturation
% 1.57/1.35
% 1.57/1.35 % (23791)Memory used [KB]: 6524
% 1.57/1.35 % (23791)Time elapsed: 0.079 s
% 1.57/1.35 % (23791)Instructions burned: 183 (million)
% 1.57/1.35 % (23791)------------------------------
% 1.57/1.35 % (23791)------------------------------
% 1.57/1.35 % (23829)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/5Mi)
% 1.57/1.35 % (23830)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_23690 for (2999ds/6Mi)
% 1.57/1.35 % (23829)Instruction limit reached!
% 1.57/1.35 % (23829)------------------------------
% 1.57/1.35 % (23829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.35 % (23829)Termination reason: Unknown
% 1.57/1.35 % (23829)Termination phase: Saturation
% 1.57/1.35
% 1.57/1.35 % (23829)Memory used [KB]: 5500
% 1.57/1.35 % (23829)Time elapsed: 0.003 s
% 1.57/1.35 % (23829)Instructions burned: 5 (million)
% 1.57/1.35 % (23829)------------------------------
% 1.57/1.35 % (23829)------------------------------
% 1.57/1.35 % (23830)Instruction limit reached!
% 1.57/1.35 % (23830)------------------------------
% 1.57/1.35 % (23830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.35 % (23830)Termination reason: Unknown
% 1.57/1.35 % (23830)Termination phase: Saturation
% 1.57/1.35
% 1.57/1.35 % (23830)Memory used [KB]: 5500
% 1.57/1.35 % (23830)Time elapsed: 0.003 s
% 1.57/1.35 % (23830)Instructions burned: 8 (million)
% 1.57/1.35 % (23830)------------------------------
% 1.57/1.35 % (23830)------------------------------
% 1.57/1.36 % (23831)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_23690 for (2999ds/377Mi)
% 1.57/1.36 % (23832)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_23690 for (2999ds/779Mi)
% 1.57/1.36 % (23833)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_23690 for (2998ds/19Mi)
% 1.57/1.36 % (23834)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_23690 for (2998ds/879Mi)
% 1.57/1.37 % (23833)Instruction limit reached!
% 1.57/1.37 % (23833)------------------------------
% 1.57/1.37 % (23833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.37 % (23833)Termination reason: Unknown
% 1.57/1.37 % (23833)Termination phase: Saturation
% 1.57/1.37
% 1.57/1.37 % (23833)Memory used [KB]: 5628
% 1.57/1.37 % (23833)Time elapsed: 0.008 s
% 1.57/1.37 % (23833)Instructions burned: 19 (million)
% 1.57/1.37 % (23833)------------------------------
% 1.57/1.37 % (23833)------------------------------
% 1.57/1.38 % (23835)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_23690 for (2998ds/17Mi)
% 1.57/1.38 % (23835)Instruction limit reached!
% 1.57/1.38 % (23835)------------------------------
% 1.57/1.38 % (23835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.38 % (23835)Termination reason: Unknown
% 1.57/1.38 % (23835)Termination phase: Saturation
% 1.57/1.38
% 1.57/1.38 % (23835)Memory used [KB]: 5628
% 1.57/1.38 % (23835)Time elapsed: 0.008 s
% 1.57/1.38 % (23835)Instructions burned: 18 (million)
% 1.57/1.38 % (23835)------------------------------
% 1.57/1.38 % (23835)------------------------------
% 1.57/1.39 % (23836)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_23690 for (2998ds/3Mi)
% 1.57/1.39 % (23836)Instruction limit reached!
% 1.57/1.39 % (23836)------------------------------
% 1.57/1.39 % (23836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.39 % (23836)Termination reason: Unknown
% 1.57/1.39 % (23836)Termination phase: Saturation
% 1.57/1.39
% 1.57/1.39 % (23836)Memory used [KB]: 1023
% 1.57/1.39 % (23836)Time elapsed: 0.003 s
% 1.57/1.39 % (23836)Instructions burned: 3 (million)
% 1.57/1.39 % (23836)------------------------------
% 1.57/1.39 % (23836)------------------------------
% 1.57/1.40 % (23837)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_23690 for (2998ds/30Mi)
% 1.57/1.42 % (23837)Instruction limit reached!
% 1.57/1.42 % (23837)------------------------------
% 1.57/1.42 % (23837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.42 % (23837)Termination reason: Unknown
% 1.57/1.42 % (23837)Termination phase: Saturation
% 1.57/1.42
% 1.57/1.42 % (23837)Memory used [KB]: 5628
% 1.57/1.42 % (23837)Time elapsed: 0.012 s
% 1.57/1.42 % (23837)Instructions burned: 32 (million)
% 1.57/1.42 % (23837)------------------------------
% 1.57/1.42 % (23837)------------------------------
% 1.57/1.43 % (23838)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_23690 for (2998ds/127Mi)
% 1.57/1.47 % (23838)Instruction limit reached!
% 1.57/1.47 % (23838)------------------------------
% 1.57/1.47 % (23838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.47 % (23838)Termination reason: Unknown
% 1.57/1.47 % (23838)Termination phase: Saturation
% 1.57/1.47
% 1.57/1.47 % (23838)Memory used [KB]: 6012
% 1.57/1.47 % (23838)Time elapsed: 0.044 s
% 1.57/1.47 % (23838)Instructions burned: 128 (million)
% 1.57/1.47 % (23838)------------------------------
% 1.57/1.47 % (23838)------------------------------
% 1.57/1.48 % (23831)Instruction limit reached!
% 1.57/1.48 % (23831)------------------------------
% 1.57/1.48 % (23831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.48 % (23831)Termination reason: Unknown
% 1.57/1.48 % (23831)Termination phase: Saturation
% 1.57/1.48
% 1.57/1.48 % (23831)Memory used [KB]: 6140
% 1.57/1.48 % (23831)Time elapsed: 0.121 s
% 1.57/1.48 % (23831)Instructions burned: 377 (million)
% 1.57/1.48 % (23831)------------------------------
% 1.57/1.48 % (23831)------------------------------
% 1.57/1.48 % (23839)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_23690 for (2997ds/100Mi)
% 1.57/1.48 % (23839)Refutation not found, incomplete strategy
% 1.57/1.48 % (23839)------------------------------
% 1.57/1.48 % (23839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.48 % (23839)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.48
% 1.57/1.48
% 1.57/1.48 % (23839)Memory used [KB]: 5500
% 1.57/1.48 % (23839)Time elapsed: 0.004 s
% 1.57/1.48 % (23839)Instructions burned: 3 (million)
% 1.57/1.48 % (23839)------------------------------
% 1.57/1.48 % (23839)------------------------------
% 1.57/1.49 % (23840)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_23690 for (2997ds/3Mi)
% 1.57/1.49 % (23840)Instruction limit reached!
% 1.57/1.49 % (23840)------------------------------
% 1.57/1.49 % (23840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.49 % (23840)Termination reason: Unknown
% 1.57/1.49 % (23840)Termination phase: Saturation
% 1.57/1.49
% 1.57/1.49 % (23840)Memory used [KB]: 5500
% 1.57/1.49 % (23840)Time elapsed: 0.003 s
% 1.57/1.49 % (23840)Instructions burned: 4 (million)
% 1.57/1.49 % (23840)------------------------------
% 1.57/1.49 % (23840)------------------------------
% 1.57/1.49 % (23841)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_23690 for (2997ds/20Mi)
% 1.57/1.50 % (23842)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_23690 for (2997ds/86Mi)
% 1.57/1.50 % (23841)Instruction limit reached!
% 1.57/1.50 % (23841)------------------------------
% 1.57/1.50 % (23841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.50 % (23841)Termination reason: Unknown
% 1.57/1.50 % (23841)Termination phase: Saturation
% 1.57/1.50
% 1.57/1.50 % (23841)Memory used [KB]: 5628
% 1.57/1.50 % (23841)Time elapsed: 0.010 s
% 1.57/1.50 % (23841)Instructions burned: 22 (million)
% 1.57/1.50 % (23841)------------------------------
% 1.57/1.50 % (23841)------------------------------
% 1.57/1.51 % (23843)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_23690 for (2997ds/107Mi)
% 1.57/1.53 % (23842)Instruction limit reached!
% 1.57/1.53 % (23842)------------------------------
% 1.57/1.53 % (23842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.53 % (23842)Termination reason: Unknown
% 1.57/1.53 % (23842)Termination phase: Saturation
% 1.57/1.53
% 1.57/1.53 % (23842)Memory used [KB]: 6012
% 1.57/1.53 % (23842)Time elapsed: 0.029 s
% 1.57/1.53 % (23842)Instructions burned: 86 (million)
% 1.57/1.53 % (23842)------------------------------
% 1.57/1.53 % (23842)------------------------------
% 1.57/1.54 % (23844)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_23690 for (2997ds/39Mi)
% 1.57/1.54 % (23843)Instruction limit reached!
% 1.57/1.54 % (23843)------------------------------
% 1.57/1.54 % (23843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.54 % (23843)Termination reason: Unknown
% 1.57/1.54 % (23843)Termination phase: Saturation
% 1.57/1.54
% 1.57/1.54 % (23843)Memory used [KB]: 5756
% 1.57/1.54 % (23843)Time elapsed: 0.033 s
% 1.57/1.54 % (23843)Instructions burned: 108 (million)
% 1.57/1.54 % (23843)------------------------------
% 1.57/1.54 % (23843)------------------------------
% 1.57/1.55 % (23844)Instruction limit reached!
% 1.57/1.55 % (23844)------------------------------
% 1.57/1.55 % (23844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.55 % (23844)Termination reason: Unknown
% 1.57/1.55 % (23844)Termination phase: Saturation
% 1.57/1.55
% 1.57/1.55 % (23844)Memory used [KB]: 5628
% 1.57/1.55 % (23844)Time elapsed: 0.015 s
% 1.57/1.55 % (23844)Instructions burned: 40 (million)
% 1.57/1.55 % (23844)------------------------------
% 1.57/1.55 % (23844)------------------------------
% 1.57/1.55 % (23845)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_23690 for (2997ds/448Mi)
% 1.57/1.55 % (23816)Instruction limit reached!
% 1.57/1.55 % (23816)------------------------------
% 1.57/1.55 % (23816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.55 % (23816)Termination reason: Unknown
% 1.57/1.55 % (23816)Termination phase: Saturation
% 1.57/1.55
% 1.57/1.55 % (23816)Memory used [KB]: 7036
% 1.57/1.55 % (23816)Time elapsed: 0.267 s
% 1.57/1.55 % (23816)Instructions burned: 1042 (million)
% 1.57/1.55 % (23816)------------------------------
% 1.57/1.55 % (23816)------------------------------
% 1.57/1.55 % (23825)Instruction limit reached!
% 1.57/1.55 % (23825)------------------------------
% 1.57/1.55 % (23825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.55 % (23825)Termination reason: Unknown
% 1.57/1.55 % (23825)Termination phase: Saturation
% 1.57/1.55
% 1.57/1.55 % (23825)Memory used [KB]: 7291
% 1.57/1.55 % (23825)Time elapsed: 0.224 s
% 1.57/1.55 % (23825)Instructions burned: 713 (million)
% 1.57/1.55 % (23825)------------------------------
% 1.57/1.55 % (23825)------------------------------
% 1.57/1.56 % (23846)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_23690 for (2997ds/46Mi)
% 1.57/1.56 % (23847)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_23690 for (2997ds/98Mi)
% 1.57/1.56 % (23848)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_23690 for (2997ds/507Mi)
% 1.57/1.58 % (23846)Instruction limit reached!
% 1.57/1.58 % (23846)------------------------------
% 1.57/1.58 % (23846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.58 % (23846)Termination reason: Unknown
% 1.57/1.58 % (23846)Termination phase: Saturation
% 1.57/1.58
% 1.57/1.58 % (23846)Memory used [KB]: 5756
% 1.57/1.58 % (23846)Time elapsed: 0.019 s
% 1.57/1.58 % (23846)Instructions burned: 48 (million)
% 1.57/1.58 % (23846)------------------------------
% 1.57/1.58 % (23846)------------------------------
% 1.57/1.59 % (23849)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_23690 for (2996ds/149Mi)
% 1.57/1.59 % (23847)Instruction limit reached!
% 1.57/1.59 % (23847)------------------------------
% 1.57/1.59 % (23847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.59 % (23847)Termination reason: Unknown
% 1.57/1.59 % (23847)Termination phase: Saturation
% 1.57/1.59
% 1.57/1.59 % (23847)Memory used [KB]: 1151
% 1.57/1.59 % (23847)Time elapsed: 0.030 s
% 1.57/1.59 % (23847)Instructions burned: 98 (million)
% 1.57/1.59 % (23847)------------------------------
% 1.57/1.59 % (23847)------------------------------
% 1.57/1.59 % (23834)Instruction limit reached!
% 1.57/1.59 % (23834)------------------------------
% 1.57/1.59 % (23834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.59 % (23834)Termination reason: Unknown
% 1.57/1.59 % (23834)Termination phase: Saturation
% 1.57/1.59
% 1.57/1.59 % (23834)Memory used [KB]: 6908
% 1.57/1.59 % (23834)Time elapsed: 0.235 s
% 1.57/1.59 % (23834)Instructions burned: 879 (million)
% 1.57/1.59 % (23834)------------------------------
% 1.57/1.59 % (23834)------------------------------
% 1.57/1.60 % (23850)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_23690 for (2996ds/39Mi)
% 1.57/1.60 % (23832)Instruction limit reached!
% 1.57/1.60 % (23832)------------------------------
% 1.57/1.60 % (23832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.60 % (23832)Termination reason: Unknown
% 1.57/1.60 % (23832)Termination phase: Saturation
% 1.57/1.60
% 1.57/1.60 % (23832)Memory used [KB]: 7164
% 1.57/1.60 % (23832)Time elapsed: 0.244 s
% 1.57/1.60 % (23832)Instructions burned: 780 (million)
% 1.57/1.60 % (23832)------------------------------
% 1.57/1.60 % (23832)------------------------------
% 1.57/1.60 % (23851)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_23690 for (2996ds/6Mi)
% 1.57/1.61 % (23851)Instruction limit reached!
% 1.57/1.61 % (23851)------------------------------
% 1.57/1.61 % (23851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.61 % (23851)Termination reason: Unknown
% 1.57/1.61 % (23851)Termination phase: Saturation
% 1.57/1.61
% 1.57/1.61 % (23851)Memory used [KB]: 9978
% 1.57/1.61 % (23851)Time elapsed: 0.004 s
% 1.57/1.61 % (23851)Instructions burned: 8 (million)
% 1.57/1.61 % (23851)------------------------------
% 1.57/1.61 % (23851)------------------------------
% 1.57/1.61 % (23852)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_23690 for (2996ds/1087Mi)
% 1.57/1.61 % (23850)Instruction limit reached!
% 1.57/1.61 % (23850)------------------------------
% 1.57/1.61 % (23850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.61 % (23850)Termination reason: Unknown
% 1.57/1.61 % (23850)Termination phase: Saturation
% 1.57/1.61
% 1.57/1.61 % (23850)Memory used [KB]: 5628
% 1.57/1.61 % (23850)Time elapsed: 0.013 s
% 1.57/1.61 % (23850)Instructions burned: 40 (million)
% 1.57/1.61 % (23850)------------------------------
% 1.57/1.61 % (23850)------------------------------
% 1.57/1.62 % (23853)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_23690 for (2996ds/47Mi)
% 1.57/1.62 % (23854)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_23690 for (2996ds/44Mi)
% 1.57/1.62 % (23852)Refutation not found, incomplete strategy
% 1.57/1.62 % (23852)------------------------------
% 1.57/1.62 % (23852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.62 % (23852)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.62
% 1.57/1.62
% 1.57/1.62 % (23852)Memory used [KB]: 5756
% 1.57/1.62 % (23852)Time elapsed: 0.014 s
% 1.57/1.62 % (23852)Instructions burned: 36 (million)
% 1.57/1.62 % (23852)------------------------------
% 1.57/1.62 % (23852)------------------------------
% 1.57/1.63 % (23853)Instruction limit reached!
% 1.57/1.63 % (23853)------------------------------
% 1.57/1.63 % (23853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.63 % (23853)Termination reason: Unknown
% 1.57/1.63 % (23853)Termination phase: Saturation
% 1.57/1.63
% 1.57/1.63 % (23853)Memory used [KB]: 5628
% 1.57/1.63 % (23853)Time elapsed: 0.015 s
% 1.57/1.63 % (23853)Instructions burned: 48 (million)
% 1.57/1.63 % (23853)------------------------------
% 1.57/1.63 % (23853)------------------------------
% 1.57/1.63 % (23855)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_23690 for (2996ds/432Mi)
% 1.57/1.63 % (23854)Instruction limit reached!
% 1.57/1.63 % (23854)------------------------------
% 1.57/1.63 % (23854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.63 % (23854)Termination reason: Unknown
% 1.57/1.63 % (23854)Termination phase: Saturation
% 1.57/1.63
% 1.57/1.63 % (23854)Memory used [KB]: 1279
% 1.57/1.63 % (23854)Time elapsed: 0.014 s
% 1.57/1.63 % (23854)Instructions burned: 44 (million)
% 1.57/1.63 % (23854)------------------------------
% 1.57/1.63 % (23854)------------------------------
% 1.57/1.64 % (23856)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_23690 for (2996ds/62Mi)
% 1.57/1.64 % (23849)Instruction limit reached!
% 1.57/1.64 % (23849)------------------------------
% 1.57/1.64 % (23849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.64 % (23849)Termination reason: Unknown
% 1.57/1.64 % (23849)Termination phase: Saturation
% 1.57/1.64
% 1.57/1.64 % (23849)Memory used [KB]: 6012
% 1.57/1.64 % (23849)Time elapsed: 0.056 s
% 1.57/1.64 % (23849)Instructions burned: 150 (million)
% 1.57/1.64 % (23849)------------------------------
% 1.57/1.64 % (23849)------------------------------
% 1.57/1.64 % (23827)Instruction limit reached!
% 1.57/1.64 % (23827)------------------------------
% 1.57/1.64 % (23827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.64 % (23827)Termination reason: Unknown
% 1.57/1.64 % (23827)Termination phase: Saturation
% 1.57/1.64
% 1.57/1.64 % (23827)Memory used [KB]: 6268
% 1.57/1.64 % (23827)Time elapsed: 0.306 s
% 1.57/1.64 % (23827)Instructions burned: 905 (million)
% 1.57/1.64 % (23827)------------------------------
% 1.57/1.64 % (23827)------------------------------
% 1.57/1.64 % (23857)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_23690 for (2996ds/31Mi)
% 1.57/1.65 % (23858)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_23690 for (2996ds/96Mi)
% 1.57/1.65 % (23859)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_23690 for (2996ds/453Mi)
% 1.57/1.65 % (23857)Instruction limit reached!
% 1.57/1.65 % (23857)------------------------------
% 1.57/1.65 % (23857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.65 % (23857)Termination reason: Unknown
% 1.57/1.65 % (23857)Termination phase: Saturation
% 1.57/1.65
% 1.57/1.65 % (23857)Memory used [KB]: 5756
% 1.57/1.65 % (23857)Time elapsed: 0.011 s
% 1.57/1.65 % (23857)Instructions burned: 33 (million)
% 1.57/1.65 % (23857)------------------------------
% 1.57/1.65 % (23857)------------------------------
% 1.57/1.66 % (23856)Instruction limit reached!
% 1.57/1.66 % (23856)------------------------------
% 1.57/1.66 % (23856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.66 % (23856)Termination reason: Unknown
% 1.57/1.66 % (23856)Termination phase: Saturation
% 1.57/1.66
% 1.57/1.66 % (23856)Memory used [KB]: 5884
% 1.57/1.66 % (23856)Time elapsed: 0.019 s
% 1.57/1.66 % (23856)Instructions burned: 63 (million)
% 1.57/1.66 % (23856)------------------------------
% 1.57/1.66 % (23856)------------------------------
% 1.57/1.66 % (23859)Refutation not found, incomplete strategy
% 1.57/1.66 % (23859)------------------------------
% 1.57/1.66 % (23859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.66 % (23859)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.66
% 1.57/1.66
% 1.57/1.66 % (23859)Memory used [KB]: 5628
% 1.57/1.66 % (23859)Time elapsed: 0.009 s
% 1.57/1.66 % (23859)Instructions burned: 18 (million)
% 1.57/1.66 % (23859)------------------------------
% 1.57/1.66 % (23859)------------------------------
% 1.57/1.66 % (23860)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_23690 for (2996ds/71Mi)
% 1.57/1.67 % (23861)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_23690 for (2996ds/83Mi)
% 1.57/1.67 % (23862)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_23690 for (2996ds/11Mi)
% 1.57/1.68 % (23862)Instruction limit reached!
% 1.57/1.68 % (23862)------------------------------
% 1.57/1.68 % (23862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.68 % (23862)Termination reason: Unknown
% 1.57/1.68 % (23862)Termination phase: Saturation
% 1.57/1.68
% 1.57/1.68 % (23862)Memory used [KB]: 5500
% 1.57/1.68 % (23862)Time elapsed: 0.006 s
% 1.57/1.68 % (23862)Instructions burned: 12 (million)
% 1.57/1.68 % (23862)------------------------------
% 1.57/1.68 % (23862)------------------------------
% 1.57/1.68 % (23858)Instruction limit reached!
% 1.57/1.68 % (23858)------------------------------
% 1.57/1.68 % (23858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.68 % (23858)Termination reason: Unknown
% 1.57/1.68 % (23858)Termination phase: Saturation
% 1.57/1.68
% 1.57/1.68 % (23858)Memory used [KB]: 5756
% 1.57/1.68 % (23858)Time elapsed: 0.033 s
% 1.57/1.68 % (23858)Instructions burned: 98 (million)
% 1.57/1.68 % (23858)------------------------------
% 1.57/1.68 % (23858)------------------------------
% 1.57/1.69 % (23863)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_23690 for (2995ds/41Mi)
% 1.57/1.69 % (23860)Instruction limit reached!
% 1.57/1.69 % (23860)------------------------------
% 1.57/1.69 % (23860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.69 % (23860)Termination reason: Unknown
% 1.57/1.69 % (23860)Termination phase: Saturation
% 1.57/1.69
% 1.57/1.69 % (23860)Memory used [KB]: 5756
% 1.57/1.69 % (23860)Time elapsed: 0.024 s
% 1.57/1.69 % (23860)Instructions burned: 73 (million)
% 1.57/1.69 % (23860)------------------------------
% 1.57/1.69 % (23860)------------------------------
% 1.57/1.69 % (23861)Instruction limit reached!
% 1.57/1.69 % (23861)------------------------------
% 1.57/1.69 % (23861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.69 % (23861)Termination reason: Unknown
% 1.57/1.69 % (23861)Termination phase: Saturation
% 1.57/1.69
% 1.57/1.69 % (23861)Memory used [KB]: 5884
% 1.57/1.69 % (23861)Time elapsed: 0.025 s
% 1.57/1.69 % (23861)Instructions burned: 83 (million)
% 1.57/1.69 % (23861)------------------------------
% 1.57/1.69 % (23861)------------------------------
% 1.57/1.69 % (23845)Instruction limit reached!
% 1.57/1.69 % (23845)------------------------------
% 1.57/1.69 % (23845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.69 % (23845)Termination reason: Unknown
% 1.57/1.69 % (23845)Termination phase: Saturation
% 1.57/1.69
% 1.57/1.69 % (23845)Memory used [KB]: 6396
% 1.57/1.69 % (23845)Time elapsed: 0.143 s
% 1.57/1.69 % (23845)Instructions burned: 448 (million)
% 1.57/1.69 % (23845)------------------------------
% 1.57/1.69 % (23845)------------------------------
% 1.57/1.69 % (23864)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_23690 for (2995ds/6Mi)
% 1.57/1.69 % (23863)Refutation not found, incomplete strategy
% 1.57/1.69 % (23863)------------------------------
% 1.57/1.69 % (23863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.69 % (23863)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.69
% 1.57/1.69
% 1.57/1.69 % (23863)Memory used [KB]: 5628
% 1.57/1.69 % (23863)Time elapsed: 0.008 s
% 1.57/1.69 % (23863)Instructions burned: 19 (million)
% 1.57/1.69 % (23863)------------------------------
% 1.57/1.69 % (23863)------------------------------
% 1.57/1.69 % (23864)Instruction limit reached!
% 1.57/1.69 % (23864)------------------------------
% 1.57/1.69 % (23864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.69 % (23864)Termination reason: Unknown
% 1.57/1.69 % (23864)Termination phase: Saturation
% 1.57/1.69
% 1.57/1.69 % (23864)Memory used [KB]: 5500
% 1.57/1.69 % (23864)Time elapsed: 0.004 s
% 1.57/1.69 % (23864)Instructions burned: 6 (million)
% 1.57/1.69 % (23864)------------------------------
% 1.57/1.69 % (23864)------------------------------
% 1.57/1.70 % (23865)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_23690 for (2995ds/150Mi)
% 1.57/1.70 % (23866)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_23690 for (2995ds/343Mi)
% 1.57/1.70 % (23867)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_23690 for (2995ds/109Mi)
% 1.57/1.70 % (23868)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_23690 for (2995ds/253Mi)
% 1.57/1.70 % (23869)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_23690 for (2995ds/140Mi)
% 1.57/1.73 % (23848)Instruction limit reached!
% 1.57/1.73 % (23848)------------------------------
% 1.57/1.73 % (23848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.73 % (23848)Termination reason: Unknown
% 1.57/1.73 % (23848)Termination phase: Saturation
% 1.57/1.73
% 1.57/1.73 % (23848)Memory used [KB]: 6524
% 1.57/1.73 % (23848)Time elapsed: 0.169 s
% 1.57/1.73 % (23848)Instructions burned: 510 (million)
% 1.57/1.73 % (23848)------------------------------
% 1.57/1.73 % (23848)------------------------------
% 1.57/1.74 % (23867)Instruction limit reached!
% 1.57/1.74 % (23867)------------------------------
% 1.57/1.74 % (23867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.74 % (23867)Termination reason: Unknown
% 1.57/1.74 % (23867)Termination phase: Saturation
% 1.57/1.74
% 1.57/1.74 % (23867)Memory used [KB]: 6140
% 1.57/1.74 % (23867)Time elapsed: 0.056 s
% 1.57/1.74 % (23867)Instructions burned: 110 (million)
% 1.57/1.74 % (23867)------------------------------
% 1.57/1.74 % (23867)------------------------------
% 1.57/1.74 % (23865)Instruction limit reached!
% 1.57/1.74 % (23865)------------------------------
% 1.57/1.74 % (23865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.74 % (23865)Termination reason: Unknown
% 1.57/1.74 % (23865)Termination phase: Saturation
% 1.57/1.74
% 1.57/1.74 % (23865)Memory used [KB]: 6012
% 1.57/1.74 % (23865)Time elapsed: 0.066 s
% 1.57/1.74 % (23865)Instructions burned: 150 (million)
% 1.57/1.74 % (23865)------------------------------
% 1.57/1.74 % (23865)------------------------------
% 1.57/1.74 % (23870)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_23690 for (2995ds/614Mi)
% 1.57/1.75 % (23871)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_23690 for (2995ds/202Mi)
% 1.57/1.75 % (23869)Instruction limit reached!
% 1.57/1.75 % (23869)------------------------------
% 1.57/1.75 % (23869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.75 % (23869)Termination reason: Unknown
% 1.57/1.75 % (23869)Termination phase: Saturation
% 1.57/1.75
% 1.57/1.75 % (23869)Memory used [KB]: 5884
% 1.57/1.75 % (23869)Time elapsed: 0.043 s
% 1.57/1.75 % (23869)Instructions burned: 143 (million)
% 1.57/1.75 % (23869)------------------------------
% 1.57/1.75 % (23869)------------------------------
% 1.57/1.75 % (23872)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_23690 for (2995ds/339Mi)
% 1.57/1.76 % (23855)Instruction limit reached!
% 1.57/1.76 % (23855)------------------------------
% 1.57/1.76 % (23855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.76 % (23855)Termination reason: Unknown
% 1.57/1.76 % (23855)Termination phase: Saturation
% 1.57/1.76
% 1.57/1.76 % (23855)Memory used [KB]: 3965
% 1.57/1.76 % (23855)Time elapsed: 0.123 s
% 1.57/1.76 % (23855)Instructions burned: 434 (million)
% 1.57/1.76 % (23873)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_23690 for (2995ds/283Mi)
% 1.57/1.76 % (23855)------------------------------
% 1.57/1.76 % (23855)------------------------------
% 1.57/1.76 % (23874)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_23690 for (2994ds/134Mi)
% 1.57/1.78 % (23868)Instruction limit reached!
% 1.57/1.78 % (23868)------------------------------
% 1.57/1.78 % (23868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.78 % (23868)Termination reason: Unknown
% 1.57/1.78 % (23868)Termination phase: Saturation
% 1.57/1.78
% 1.57/1.78 % (23868)Memory used [KB]: 6012
% 1.57/1.78 % (23868)Time elapsed: 0.082 s
% 1.57/1.78 % (23868)Instructions burned: 254 (million)
% 1.57/1.78 % (23868)------------------------------
% 1.57/1.78 % (23868)------------------------------
% 1.57/1.79 % (23875)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_23690 for (2994ds/298Mi)
% 1.57/1.80 % (23866)Instruction limit reached!
% 1.57/1.80 % (23866)------------------------------
% 1.57/1.80 % (23866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.80 % (23866)Termination reason: Unknown
% 1.57/1.80 % (23866)Termination phase: Saturation
% 1.57/1.80
% 1.57/1.80 % (23866)Memory used [KB]: 6396
% 1.57/1.80 % (23866)Time elapsed: 0.117 s
% 1.57/1.80 % (23866)Instructions burned: 343 (million)
% 1.57/1.80 % (23866)------------------------------
% 1.57/1.80 % (23866)------------------------------
% 1.57/1.80 % (23871)Instruction limit reached!
% 1.57/1.80 % (23871)------------------------------
% 1.57/1.80 % (23871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.80 % (23871)Termination reason: Unknown
% 1.57/1.80 % (23871)Termination phase: Saturation
% 1.57/1.80
% 1.57/1.80 % (23871)Memory used [KB]: 6012
% 1.57/1.80 % (23871)Time elapsed: 0.060 s
% 1.57/1.80 % (23871)Instructions burned: 202 (million)
% 1.57/1.80 % (23871)------------------------------
% 1.57/1.80 % (23871)------------------------------
% 1.57/1.81 % (23876)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_23690 for (2994ds/192Mi)
% 1.57/1.81 % (23874)Instruction limit reached!
% 1.57/1.81 % (23874)------------------------------
% 1.57/1.81 % (23874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.81 % (23874)Termination reason: Unknown
% 1.57/1.81 % (23874)Termination phase: Saturation
% 1.57/1.81
% 1.57/1.81 % (23874)Memory used [KB]: 6268
% 1.57/1.81 % (23874)Time elapsed: 0.042 s
% 1.57/1.81 % (23874)Instructions burned: 137 (million)
% 1.57/1.81 % (23874)------------------------------
% 1.57/1.81 % (23874)------------------------------
% 1.57/1.81 % (23877)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_23690 for (2994ds/258Mi)
% 1.57/1.82 % (23878)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_23690 for (2994ds/90Mi)
% 1.57/1.82 % (23872)Refutation not found, incomplete strategy
% 1.57/1.82 % (23872)------------------------------
% 1.57/1.82 % (23872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.82 % (23872)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.82
% 1.57/1.82
% 1.57/1.82 % (23872)Memory used [KB]: 6012
% 1.57/1.82 % (23872)Time elapsed: 0.074 s
% 1.57/1.82 % (23872)Instructions burned: 252 (million)
% 1.57/1.82 % (23872)------------------------------
% 1.57/1.82 % (23872)------------------------------
% 1.57/1.83 % (23873)Instruction limit reached!
% 1.57/1.83 % (23873)------------------------------
% 1.57/1.83 % (23873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.83 % (23873)Termination reason: Unknown
% 1.57/1.83 % (23873)Termination phase: Saturation
% 1.57/1.83
% 1.57/1.83 % (23873)Memory used [KB]: 7419
% 1.57/1.83 % (23873)Time elapsed: 0.077 s
% 1.57/1.83 % (23873)Instructions burned: 286 (million)
% 1.57/1.83 % (23873)------------------------------
% 1.57/1.83 % (23873)------------------------------
% 1.57/1.83 % (23879)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_23690 for (2994ds/231Mi)
% 1.57/1.84 % (23880)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_23690 for (2994ds/458Mi)
% 1.57/1.84 % (23878)Instruction limit reached!
% 1.57/1.84 % (23878)------------------------------
% 1.57/1.84 % (23878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.84 % (23878)Termination reason: Unknown
% 1.57/1.84 % (23878)Termination phase: Saturation
% 1.57/1.84
% 1.57/1.84 % (23878)Memory used [KB]: 5884
% 1.57/1.84 % (23878)Time elapsed: 0.028 s
% 1.57/1.84 % (23878)Instructions burned: 92 (million)
% 1.57/1.84 % (23878)------------------------------
% 1.57/1.84 % (23878)------------------------------
% 1.57/1.85 % (23880)Refutation not found, incomplete strategy
% 1.57/1.85 % (23880)------------------------------
% 1.57/1.85 % (23880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.85 % (23880)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.85
% 1.57/1.85
% 1.57/1.85 % (23880)Memory used [KB]: 5628
% 1.57/1.85 % (23880)Time elapsed: 0.011 s
% 1.57/1.85 % (23880)Instructions burned: 32 (million)
% 1.57/1.85 % (23880)------------------------------
% 1.57/1.85 % (23880)------------------------------
% 1.57/1.85 % (23881)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_23690 for (2994ds/31Mi)
% 1.57/1.86 % (23882)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_23690 for (2994ds/297Mi)
% 1.57/1.86 % (23876)Instruction limit reached!
% 1.57/1.86 % (23876)------------------------------
% 1.57/1.86 % (23876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.86 % (23876)Termination reason: Unknown
% 1.57/1.86 % (23876)Termination phase: Saturation
% 1.57/1.86
% 1.57/1.86 % (23876)Memory used [KB]: 6268
% 1.57/1.86 % (23876)Time elapsed: 0.057 s
% 1.57/1.86 % (23876)Instructions burned: 193 (million)
% 1.57/1.86 % (23876)------------------------------
% 1.57/1.86 % (23876)------------------------------
% 1.57/1.86 % (23881)Instruction limit reached!
% 1.57/1.86 % (23881)------------------------------
% 1.57/1.86 % (23881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.86 % (23881)Termination reason: Unknown
% 1.57/1.86 % (23881)Termination phase: Saturation
% 1.57/1.86
% 1.57/1.86 % (23881)Memory used [KB]: 5756
% 1.57/1.86 % (23881)Time elapsed: 0.011 s
% 1.57/1.86 % (23881)Instructions burned: 34 (million)
% 1.57/1.86 % (23881)------------------------------
% 1.57/1.86 % (23881)------------------------------
% 1.57/1.87 % (23883)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_23690 for (2993ds/987Mi)
% 1.57/1.87 % (23884)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_23690 for (2993ds/182Mi)
% 1.57/1.88 % (23875)Instruction limit reached!
% 1.57/1.88 % (23875)------------------------------
% 1.57/1.88 % (23875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.88 % (23875)Termination reason: Unknown
% 1.57/1.88 % (23875)Termination phase: Saturation
% 1.57/1.88
% 1.57/1.88 % (23875)Memory used [KB]: 6140
% 1.57/1.88 % (23875)Time elapsed: 0.087 s
% 1.57/1.88 % (23875)Instructions burned: 301 (million)
% 1.57/1.88 % (23875)------------------------------
% 1.57/1.88 % (23875)------------------------------
% 1.57/1.89 % (23877)Instruction limit reached!
% 1.57/1.89 % (23877)------------------------------
% 1.57/1.89 % (23877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.89 % (23877)Termination reason: Unknown
% 1.57/1.89 % (23877)Termination phase: Saturation
% 1.57/1.89
% 1.57/1.89 % (23877)Memory used [KB]: 6268
% 1.57/1.89 % (23877)Time elapsed: 0.074 s
% 1.57/1.89 % (23877)Instructions burned: 259 (million)
% 1.57/1.89 % (23877)------------------------------
% 1.57/1.89 % (23877)------------------------------
% 1.57/1.89 % (23885)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_23690 for (2993ds/182Mi)
% 1.57/1.90 % (23886)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_23690 for (2993ds/154Mi)
% 1.57/1.90 % (23870)Instruction limit reached!
% 1.57/1.90 % (23870)------------------------------
% 1.57/1.90 % (23870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.90 % (23870)Termination reason: Unknown
% 1.57/1.90 % (23870)Termination phase: Saturation
% 1.57/1.90
% 1.57/1.90 % (23870)Memory used [KB]: 7164
% 1.57/1.90 % (23870)Time elapsed: 0.161 s
% 1.57/1.90 % (23870)Instructions burned: 616 (million)
% 1.57/1.90 % (23870)------------------------------
% 1.57/1.90 % (23870)------------------------------
% 1.57/1.91 % (23879)Instruction limit reached!
% 1.57/1.91 % (23879)------------------------------
% 1.57/1.91 % (23879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.91 % (23879)Termination reason: Unknown
% 1.57/1.91 % (23879)Termination phase: Saturation
% 1.57/1.91
% 1.57/1.91 % (23879)Memory used [KB]: 6396
% 1.57/1.91 % (23879)Time elapsed: 0.077 s
% 1.57/1.91 % (23879)Instructions burned: 232 (million)
% 1.57/1.91 % (23879)------------------------------
% 1.57/1.91 % (23879)------------------------------
% 1.57/1.91 % (23887)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_23690 for (2993ds/79Mi)
% 1.57/1.92 % (23888)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_23690 for (2993ds/216Mi)
% 1.57/1.92 % (23884)Instruction limit reached!
% 1.57/1.92 % (23884)------------------------------
% 1.57/1.92 % (23884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.92 % (23884)Termination reason: Unknown
% 1.57/1.92 % (23884)Termination phase: Saturation
% 1.57/1.92
% 1.57/1.92 % (23884)Memory used [KB]: 6780
% 1.57/1.92 % (23884)Time elapsed: 0.053 s
% 1.57/1.92 % (23884)Instructions burned: 184 (million)
% 1.57/1.92 % (23884)------------------------------
% 1.57/1.92 % (23884)------------------------------
% 1.57/1.93 % (23887)Instruction limit reached!
% 1.57/1.93 % (23887)------------------------------
% 1.57/1.93 % (23887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.93 % (23887)Termination reason: Unknown
% 1.57/1.93 % (23887)Termination phase: Saturation
% 1.57/1.93
% 1.57/1.93 % (23887)Memory used [KB]: 5756
% 1.57/1.93 % (23887)Time elapsed: 0.023 s
% 1.57/1.93 % (23887)Instructions burned: 81 (million)
% 1.57/1.93 % (23887)------------------------------
% 1.57/1.93 % (23887)------------------------------
% 1.57/1.93 % (23889)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_23690 for (2993ds/114Mi)
% 1.57/1.94 % (23890)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_23690 for (2993ds/922Mi)
% 1.57/1.94 % (23885)Instruction limit reached!
% 1.57/1.94 % (23885)------------------------------
% 1.57/1.94 % (23885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.94 % (23885)Termination reason: Unknown
% 1.57/1.94 % (23885)Termination phase: Saturation
% 1.57/1.94
% 1.57/1.94 % (23885)Memory used [KB]: 6140
% 1.57/1.94 % (23885)Time elapsed: 0.054 s
% 1.57/1.94 % (23885)Instructions burned: 182 (million)
% 1.57/1.94 % (23885)------------------------------
% 1.57/1.94 % (23885)------------------------------
% 1.57/1.95 % (23882)Instruction limit reached!
% 1.57/1.95 % (23882)------------------------------
% 1.57/1.95 % (23882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.95 % (23882)Termination reason: Unknown
% 1.57/1.95 % (23882)Termination phase: Saturation
% 1.57/1.95
% 1.57/1.95 % (23882)Memory used [KB]: 7036
% 1.57/1.95 % (23882)Time elapsed: 0.087 s
% 1.57/1.95 % (23882)Instructions burned: 300 (million)
% 1.57/1.95 % (23882)------------------------------
% 1.57/1.95 % (23882)------------------------------
% 1.57/1.95 % (23891)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_23690 for (2993ds/182Mi)
% 1.57/1.95 % (23890)Refutation not found, incomplete strategy
% 1.57/1.95 % (23890)------------------------------
% 1.57/1.95 % (23890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.95 % (23890)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.95
% 1.57/1.95
% 1.57/1.95 % (23890)Memory used [KB]: 5756
% 1.57/1.95 % (23890)Time elapsed: 0.012 s
% 1.57/1.95 % (23890)Instructions burned: 36 (million)
% 1.57/1.95 % (23890)------------------------------
% 1.57/1.95 % (23890)------------------------------
% 1.57/1.95 % (23886)Instruction limit reached!
% 1.57/1.95 % (23886)------------------------------
% 1.57/1.95 % (23886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.95 % (23886)Termination reason: Unknown
% 1.57/1.95 % (23886)Termination phase: Saturation
% 1.57/1.95
% 1.57/1.95 % (23886)Memory used [KB]: 6268
% 1.57/1.95 % (23886)Time elapsed: 0.055 s
% 1.57/1.95 % (23886)Instructions burned: 156 (million)
% 1.57/1.95 % (23886)------------------------------
% 1.57/1.95 % (23886)------------------------------
% 1.57/1.96 % (23892)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_23690 for (2993ds/164Mi)
% 1.57/1.96 % (23893)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_23690 for (2993ds/50Mi)
% 1.57/1.96 % (23894)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_23690 for (2993ds/368Mi)
% 1.57/1.97 % (23889)Instruction limit reached!
% 1.57/1.97 % (23889)------------------------------
% 1.57/1.97 % (23889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.97 % (23889)Termination reason: Unknown
% 1.57/1.97 % (23889)Termination phase: Saturation
% 1.57/1.97
% 1.57/1.97 % (23889)Memory used [KB]: 6268
% 1.57/1.97 % (23889)Time elapsed: 0.034 s
% 1.57/1.97 % (23889)Instructions burned: 116 (million)
% 1.57/1.97 % (23889)------------------------------
% 1.57/1.97 % (23889)------------------------------
% 1.57/1.97 % (23895)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_23690 for (2992ds/1021Mi)
% 1.57/1.98 % (23893)Instruction limit reached!
% 1.57/1.98 % (23893)------------------------------
% 1.57/1.98 % (23893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.98 % (23893)Termination reason: Unknown
% 1.57/1.98 % (23893)Termination phase: Saturation
% 1.57/1.98
% 1.57/1.98 % (23893)Memory used [KB]: 10490
% 1.57/1.98 % (23893)Time elapsed: 0.016 s
% 1.57/1.98 % (23893)Instructions burned: 52 (million)
% 1.57/1.98 % (23893)------------------------------
% 1.57/1.98 % (23893)------------------------------
% 1.57/1.98 % (23888)Instruction limit reached!
% 1.57/1.98 % (23888)------------------------------
% 1.57/1.98 % (23888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.98 % (23888)Termination reason: Unknown
% 1.57/1.98 % (23888)Termination phase: Saturation
% 1.57/1.98
% 1.57/1.98 % (23888)Memory used [KB]: 6268
% 1.57/1.98 % (23888)Time elapsed: 0.063 s
% 1.57/1.98 % (23888)Instructions burned: 216 (million)
% 1.57/1.98 % (23888)------------------------------
% 1.57/1.98 % (23888)------------------------------
% 1.57/1.99 % (23896)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_23690 for (2992ds/267Mi)
% 1.57/1.99 % (23897)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_23690 for (2992ds/204Mi)
% 1.57/2.00 % (23897)Refutation not found, incomplete strategy
% 1.57/2.00 % (23897)------------------------------
% 1.57/2.00 % (23897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/2.00 % (23897)Termination reason: Refutation not found, incomplete strategy
% 1.57/2.00
% 1.57/2.00
% 1.57/2.00 % (23897)Memory used [KB]: 5628
% 1.57/2.00 % (23897)Time elapsed: 0.011 s
% 1.57/2.00 % (23897)Instructions burned: 31 (million)
% 1.57/2.00 % (23897)------------------------------
% 1.57/2.00 % (23897)------------------------------
% 1.57/2.00 % (23891)Instruction limit reached!
% 1.57/2.00 % (23891)------------------------------
% 1.57/2.00 % (23891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/2.00 % (23891)Termination reason: Unknown
% 1.57/2.00 % (23891)Termination phase: Saturation
% 1.57/2.00
% 1.57/2.00 % (23891)Memory used [KB]: 5756
% 1.57/2.00 % (23891)Time elapsed: 0.055 s
% 1.57/2.00 % (23891)Instructions burned: 184 (million)
% 1.57/2.00 % (23891)------------------------------
% 1.57/2.00 % (23891)------------------------------
% 1.57/2.00 % (23892)Instruction limit reached!
% 1.57/2.00 % (23892)------------------------------
% 1.57/2.00 % (23892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/2.00 % (23892)Termination reason: Unknown
% 1.57/2.00 % (23892)Termination phase: Saturation
% 1.57/2.00
% 1.57/2.00 % (23892)Memory used [KB]: 1407
% 1.57/2.00 % (23892)Time elapsed: 0.050 s
% 1.57/2.00 % (23892)Instructions burned: 165 (million)
% 1.57/2.01 % (23892)------------------------------
% 1.57/2.01 % (23892)------------------------------
% 1.57/2.01 % (23898)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_23690 for (2992ds/26Mi)
% 6.79/2.02 % (23898)Instruction limit reached!
% 6.79/2.02 % (23898)------------------------------
% 6.79/2.02 % (23898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.02 % (23898)Termination reason: Unknown
% 6.79/2.02 % (23898)Termination phase: Saturation
% 6.79/2.02
% 6.79/2.02 % (23898)Memory used [KB]: 5628
% 6.79/2.02 % (23898)Time elapsed: 0.010 s
% 6.79/2.02 % (23898)Instructions burned: 27 (million)
% 6.79/2.02 % (23898)------------------------------
% 6.79/2.02 % (23898)------------------------------
% 6.79/2.02 % (23899)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_23690 for (2992ds/53Mi)
% 6.79/2.02 % (23900)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_23690 for (2992ds/4436Mi)
% 6.79/2.03 % (23901)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_23690 for (2992ds/1539Mi)
% 6.79/2.04 % (23899)Instruction limit reached!
% 6.79/2.04 % (23899)------------------------------
% 6.79/2.04 % (23899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.04 % (23899)Termination reason: Unknown
% 6.79/2.04 % (23899)Termination phase: Saturation
% 6.79/2.04
% 6.79/2.04 % (23899)Memory used [KB]: 5628
% 6.79/2.04 % (23899)Time elapsed: 0.045 s
% 6.79/2.04 % (23899)Instructions burned: 54 (million)
% 6.79/2.04 % (23899)------------------------------
% 6.79/2.04 % (23899)------------------------------
% 6.79/2.04 % (23900)Refutation not found, incomplete strategy
% 6.79/2.04 % (23900)------------------------------
% 6.79/2.04 % (23900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.04 % (23900)Termination reason: Refutation not found, incomplete strategy
% 6.79/2.04
% 6.79/2.04
% 6.79/2.04 % (23900)Memory used [KB]: 5756
% 6.79/2.04 % (23900)Time elapsed: 0.020 s
% 6.79/2.04 % (23900)Instructions burned: 36 (million)
% 6.79/2.04 % (23900)------------------------------
% 6.79/2.04 % (23900)------------------------------
% 6.79/2.05 % (23902)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_23690 for (2992ds/408Mi)
% 6.79/2.05 % (23903)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_23690 for (2992ds/5205Mi)
% 6.79/2.06 % (23896)Instruction limit reached!
% 6.79/2.06 % (23896)------------------------------
% 6.79/2.06 % (23896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.06 % (23896)Termination reason: Unknown
% 6.79/2.06 % (23896)Termination phase: Saturation
% 6.79/2.06
% 6.79/2.06 % (23896)Memory used [KB]: 6140
% 6.79/2.06 % (23896)Time elapsed: 0.076 s
% 6.79/2.06 % (23896)Instructions burned: 267 (million)
% 6.79/2.06 % (23896)------------------------------
% 6.79/2.06 % (23896)------------------------------
% 6.79/2.07 % (23904)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_23690 for (2992ds/1913Mi)
% 6.79/2.07 % (23894)Instruction limit reached!
% 6.79/2.07 % (23894)------------------------------
% 6.79/2.07 % (23894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.79/2.07 % (23894)Termination reason: Unknown
% 6.79/2.07 % (23894)Termination phase: Saturation
% 6.79/2.07
% 6.79/2.07 % (23894)Memory used [KB]: 6524
% 6.79/2.07 % (23894)Time elapsed: 0.110 s
% 6.79/2.07 % (23894)Instructions burned: 369 (million)
% 6.79/2.07 % (23894)------------------------------
% 6.79/2.07 % (23894)------------------------------
% 6.79/2.08 % (23905)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_23690 for (2991ds/4350Mi)
% 7.20/2.14 % (23883)Instruction limit reached!
% 7.20/2.14 % (23883)------------------------------
% 7.20/2.14 % (23883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.20/2.14 % (23883)Termination reason: Unknown
% 7.20/2.14 % (23883)Termination phase: Saturation
% 7.20/2.14
% 7.20/2.14 % (23883)Memory used [KB]: 7036
% 7.20/2.14 % (23883)Time elapsed: 0.274 s
% 7.20/2.14 % (23883)Instructions burned: 987 (million)
% 7.20/2.14 % (23883)------------------------------
% 7.20/2.14 % (23883)------------------------------
% 7.20/2.15 % (23906)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_23690 for (2991ds/68Mi)
% 7.20/2.17 % (23902)Instruction limit reached!
% 7.20/2.17 % (23902)------------------------------
% 7.20/2.17 % (23902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.20/2.17 % (23902)Termination reason: Unknown
% 7.20/2.17 % (23902)Termination phase: Saturation
% 7.20/2.17
% 7.20/2.17 % (23902)Memory used [KB]: 6396
% 7.20/2.17 % (23902)Time elapsed: 0.141 s
% 7.20/2.17 % (23902)Instructions burned: 411 (million)
% 7.20/2.17 % (23902)------------------------------
% 7.20/2.17 % (23902)------------------------------
% 7.20/2.17 % (23906)Instruction limit reached!
% 7.20/2.17 % (23906)------------------------------
% 7.20/2.17 % (23906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.20/2.17 % (23906)Termination reason: Unknown
% 7.20/2.17 % (23906)Termination phase: Saturation
% 7.20/2.17
% 7.20/2.17 % (23906)Memory used [KB]: 6012
% 7.20/2.17 % (23906)Time elapsed: 0.022 s
% 7.20/2.17 % (23906)Instructions burned: 70 (million)
% 7.20/2.17 % (23906)------------------------------
% 7.20/2.17 % (23906)------------------------------
% 7.20/2.17 % (23907)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_23690 for (2990ds/358Mi)
% 7.20/2.18 % (23908)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_23690 for (2990ds/31Mi)
% 7.20/2.19 % (23908)Instruction limit reached!
% 7.20/2.19 % (23908)------------------------------
% 7.20/2.19 % (23908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.20/2.19 % (23908)Termination reason: Unknown
% 7.20/2.19 % (23908)Termination phase: Saturation
% 7.20/2.19
% 7.20/2.19 % (23908)Memory used [KB]: 5756
% 7.20/2.19 % (23908)Time elapsed: 0.011 s
% 7.20/2.19 % (23908)Instructions burned: 33 (million)
% 7.20/2.19 % (23908)------------------------------
% 7.20/2.19 % (23908)------------------------------
% 7.50/2.20 % (23909)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_23690 for (2990ds/279Mi)
% 7.50/2.26 % (23895)Instruction limit reached!
% 7.50/2.26 % (23895)------------------------------
% 7.50/2.26 % (23895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.26 % (23895)Termination reason: Unknown
% 7.50/2.26 % (23895)Termination phase: Saturation
% 7.50/2.26
% 7.50/2.26 % (23895)Memory used [KB]: 6140
% 7.50/2.26 % (23895)Time elapsed: 0.283 s
% 7.50/2.26 % (23895)Instructions burned: 1021 (million)
% 7.50/2.26 % (23895)------------------------------
% 7.50/2.26 % (23895)------------------------------
% 7.50/2.27 % (23910)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_23690 for (2989ds/258Mi)
% 7.50/2.27 % (23907)Instruction limit reached!
% 7.50/2.27 % (23907)------------------------------
% 7.50/2.27 % (23907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.27 % (23907)Termination reason: Unknown
% 7.50/2.27 % (23907)Termination phase: Saturation
% 7.50/2.27
% 7.50/2.27 % (23907)Memory used [KB]: 6268
% 7.50/2.27 % (23907)Time elapsed: 0.099 s
% 7.50/2.27 % (23907)Instructions burned: 358 (million)
% 7.50/2.27 % (23907)------------------------------
% 7.50/2.27 % (23907)------------------------------
% 7.50/2.28 % (23911)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_23690 for (2989ds/26Mi)
% 7.50/2.29 % (23909)Instruction limit reached!
% 7.50/2.29 % (23909)------------------------------
% 7.50/2.29 % (23909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.29 % (23909)Termination reason: Unknown
% 7.50/2.29 % (23909)Termination phase: Saturation
% 7.50/2.29
% 7.50/2.29 % (23909)Memory used [KB]: 6268
% 7.50/2.29 % (23909)Time elapsed: 0.085 s
% 7.50/2.29 % (23909)Instructions burned: 279 (million)
% 7.50/2.29 % (23909)------------------------------
% 7.50/2.29 % (23909)------------------------------
% 7.50/2.29 % (23911)Instruction limit reached!
% 7.50/2.29 % (23911)------------------------------
% 7.50/2.29 % (23911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.29 % (23911)Termination reason: Unknown
% 7.50/2.29 % (23911)Termination phase: Saturation
% 7.50/2.29
% 7.50/2.29 % (23911)Memory used [KB]: 5628
% 7.50/2.29 % (23911)Time elapsed: 0.010 s
% 7.50/2.29 % (23911)Instructions burned: 27 (million)
% 7.50/2.29 % (23911)------------------------------
% 7.50/2.29 % (23911)------------------------------
% 7.78/2.30 % (23915)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_23690 for (2989ds/995Mi)
% 7.78/2.30 % (23916)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_23690 for (2989ds/373Mi)
% 7.78/2.31 % (23915)Refutation not found, incomplete strategy
% 7.78/2.31 % (23915)------------------------------
% 7.78/2.31 % (23915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.78/2.31 % (23915)Termination reason: Refutation not found, incomplete strategy
% 7.78/2.31
% 7.78/2.31
% 7.78/2.31 % (23915)Memory used [KB]: 5628
% 7.78/2.31 % (23915)Time elapsed: 0.008 s
% 7.78/2.31 % (23915)Instructions burned: 21 (million)
% 7.78/2.31 % (23915)------------------------------
% 7.78/2.31 % (23915)------------------------------
% 7.78/2.32 % (23931)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_23690 for (2989ds/253Mi)
% 7.78/2.34 % (23931)Refutation not found, incomplete strategy
% 7.78/2.34 % (23931)------------------------------
% 7.78/2.34 % (23931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.78/2.34 % (23931)Termination reason: Refutation not found, incomplete strategy
% 7.78/2.34
% 7.78/2.34
% 7.78/2.34 % (23931)Memory used [KB]: 5756
% 7.78/2.34 % (23931)Time elapsed: 0.018 s
% 7.78/2.34 % (23931)Instructions burned: 51 (million)
% 7.78/2.34 % (23931)------------------------------
% 7.78/2.34 % (23931)------------------------------
% 7.78/2.34 % (23910)Instruction limit reached!
% 7.78/2.34 % (23910)------------------------------
% 7.78/2.34 % (23910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.78/2.34 % (23910)Termination reason: Unknown
% 7.78/2.34 % (23910)Termination phase: Saturation
% 7.78/2.34
% 7.78/2.34 % (23910)Memory used [KB]: 6268
% 7.78/2.34 % (23910)Time elapsed: 0.076 s
% 7.78/2.34 % (23910)Instructions burned: 258 (million)
% 7.78/2.34 % (23910)------------------------------
% 7.78/2.34 % (23910)------------------------------
% 7.78/2.34 % (23932)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_23690 for (2989ds/832Mi)
% 7.78/2.35 % (23933)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_23690 for (2989ds/668Mi)
% 7.78/2.35 % (23932)Refutation not found, incomplete strategy
% 7.78/2.35 % (23932)------------------------------
% 7.78/2.35 % (23932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.78/2.35 % (23932)Termination reason: Refutation not found, incomplete strategy
% 7.78/2.35
% 7.78/2.35
% 7.78/2.35 % (23932)Memory used [KB]: 5628
% 7.78/2.35 % (23932)Time elapsed: 0.010 s
% 7.78/2.35 % (23932)Instructions burned: 29 (million)
% 7.78/2.35 % (23932)------------------------------
% 7.78/2.35 % (23932)------------------------------
% 7.78/2.36 % (23934)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_23690 for (2988ds/40Mi)
% 7.78/2.38 % (23934)Instruction limit reached!
% 7.78/2.38 % (23934)------------------------------
% 7.78/2.38 % (23934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.78/2.38 % (23934)Termination reason: Unknown
% 7.78/2.38 % (23934)Termination phase: Saturation
% 7.78/2.38
% 7.78/2.38 % (23934)Memory used [KB]: 5756
% 7.78/2.38 % (23934)Time elapsed: 0.013 s
% 7.78/2.38 % (23934)Instructions burned: 41 (million)
% 7.78/2.38 % (23934)------------------------------
% 7.78/2.38 % (23934)------------------------------
% 7.78/2.39 % (23935)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_23690 for (2988ds/294Mi)
% 7.96/2.41 % (23916)Instruction limit reached!
% 7.96/2.41 % (23916)------------------------------
% 7.96/2.41 % (23916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.96/2.41 % (23916)Termination reason: Unknown
% 7.96/2.41 % (23916)Termination phase: Saturation
% 7.96/2.41
% 7.96/2.41 % (23916)Memory used [KB]: 6396
% 7.96/2.41 % (23916)Time elapsed: 0.110 s
% 7.96/2.41 % (23916)Instructions burned: 373 (million)
% 7.96/2.41 % (23916)------------------------------
% 7.96/2.41 % (23916)------------------------------
% 7.96/2.42 % (23936)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_23690 for (2988ds/187Mi)
% 7.96/2.47 % (23901)Instruction limit reached!
% 7.96/2.47 % (23901)------------------------------
% 7.96/2.47 % (23901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.96/2.47 % (23901)Termination reason: Unknown
% 7.96/2.47 % (23901)Termination phase: Saturation
% 7.96/2.47
% 7.96/2.47 % (23901)Memory used [KB]: 7419
% 7.96/2.47 % (23901)Time elapsed: 0.460 s
% 7.96/2.47 % (23901)Instructions burned: 1542 (million)
% 7.96/2.47 % (23901)------------------------------
% 7.96/2.47 % (23901)------------------------------
% 7.96/2.47 % (23935)Instruction limit reached!
% 7.96/2.47 % (23935)------------------------------
% 7.96/2.47 % (23935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.96/2.47 % (23935)Termination reason: Unknown
% 7.96/2.47 % (23935)Termination phase: Saturation
% 7.96/2.47
% 7.96/2.47 % (23935)Memory used [KB]: 6524
% 7.96/2.47 % (23935)Time elapsed: 0.085 s
% 7.96/2.47 % (23935)Instructions burned: 294 (million)
% 7.96/2.47 % (23935)------------------------------
% 7.96/2.47 % (23935)------------------------------
% 7.96/2.47 % (23936)Instruction limit reached!
% 7.96/2.47 % (23936)------------------------------
% 7.96/2.47 % (23936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.96/2.47 % (23936)Termination reason: Unknown
% 7.96/2.47 % (23936)Termination phase: Saturation
% 7.96/2.47
% 7.96/2.47 % (23936)Memory used [KB]: 6780
% 7.96/2.47 % (23936)Time elapsed: 0.054 s
% 7.96/2.47 % (23936)Instructions burned: 188 (million)
% 7.96/2.47 % (23936)------------------------------
% 7.96/2.47 % (23936)------------------------------
% 7.96/2.47 % (23937)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_23690 for (2987ds/371Mi)
% 7.96/2.48 % (23938)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_23690 for (2987ds/1827Mi)
% 7.96/2.48 % (23939)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_23690 for (2987ds/70Mi)
% 8.68/2.50 % (23939)Instruction limit reached!
% 8.68/2.50 % (23939)------------------------------
% 8.68/2.50 % (23939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.68/2.50 % (23939)Termination reason: Unknown
% 8.68/2.50 % (23939)Termination phase: Saturation
% 8.68/2.50
% 8.68/2.50 % (23939)Memory used [KB]: 1663
% 8.68/2.50 % (23939)Time elapsed: 0.021 s
% 8.68/2.50 % (23939)Instructions burned: 72 (million)
% 8.68/2.50 % (23939)------------------------------
% 8.68/2.50 % (23939)------------------------------
% 8.68/2.51 % (23940)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_23690 for (2987ds/316Mi)
% 8.68/2.53 % (23904)Instruction limit reached!
% 8.68/2.53 % (23904)------------------------------
% 8.68/2.53 % (23904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.68/2.53 % (23904)Termination reason: Unknown
% 8.68/2.53 % (23904)Termination phase: Saturation
% 8.68/2.53
% 8.68/2.53 % (23904)Memory used [KB]: 2430
% 8.68/2.53 % (23904)Time elapsed: 0.480 s
% 8.68/2.53 % (23904)Instructions burned: 1913 (million)
% 8.68/2.53 % (23904)------------------------------
% 8.68/2.53 % (23904)------------------------------
% 8.68/2.54 % (23941)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_23690 for (2987ds/932Mi)
% 8.68/2.55 % (23933)Instruction limit reached!
% 8.68/2.55 % (23933)------------------------------
% 8.68/2.55 % (23933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.68/2.55 % (23933)Termination reason: Unknown
% 8.68/2.55 % (23933)Termination phase: Saturation
% 8.68/2.55
% 8.68/2.55 % (23933)Memory used [KB]: 11897
% 8.68/2.55 % (23933)Time elapsed: 0.196 s
% 8.68/2.55 % (23933)Instructions burned: 670 (million)
% 8.68/2.55 % (23933)------------------------------
% 8.68/2.55 % (23933)------------------------------
% 8.68/2.56 % (23942)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_23690 for (2987ds/4714Mi)
% 8.68/2.57 % (23937)Instruction limit reached!
% 8.68/2.57 % (23937)------------------------------
% 8.68/2.57 % (23937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.68/2.57 % (23937)Termination reason: Unknown
% 8.68/2.57 % (23937)Termination phase: Saturation
% 8.68/2.57
% 8.68/2.57 % (23937)Memory used [KB]: 6396
% 8.68/2.57 % (23937)Time elapsed: 0.099 s
% 8.68/2.57 % (23937)Instructions burned: 371 (million)
% 8.68/2.57 % (23937)------------------------------
% 8.68/2.57 % (23937)------------------------------
% 8.68/2.57 % (23942)Refutation not found, incomplete strategy
% 8.68/2.57 % (23942)------------------------------
% 8.68/2.57 % (23942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.68/2.57 % (23942)Termination reason: Refutation not found, incomplete strategy
% 8.68/2.57
% 8.68/2.57
% 8.68/2.57 % (23942)Memory used [KB]: 5756
% 8.68/2.57 % (23942)Time elapsed: 0.017 s
% 8.68/2.57 % (23942)Instructions burned: 52 (million)
% 8.68/2.57 % (23942)------------------------------
% 8.68/2.57 % (23942)------------------------------
% 8.68/2.58 % (23943)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_23690 for (2986ds/8250Mi)
% 8.68/2.58 % (23944)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_23690 for (2986ds/770Mi)
% 9.50/2.60 % (23940)Instruction limit reached!
% 9.50/2.60 % (23940)------------------------------
% 9.50/2.60 % (23940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.50/2.60 % (23940)Termination reason: Unknown
% 9.50/2.60 % (23940)Termination phase: Saturation
% 9.50/2.60
% 9.50/2.60 % (23940)Memory used [KB]: 6908
% 9.50/2.60 % (23940)Time elapsed: 0.090 s
% 9.50/2.60 % (23940)Instructions burned: 317 (million)
% 9.50/2.60 % (23940)------------------------------
% 9.50/2.60 % (23940)------------------------------
% 9.50/2.61 % (23945)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_23690 for (2986ds/794Mi)
% 9.61/2.81 % (23941)Instruction limit reached!
% 9.61/2.81 % (23941)------------------------------
% 9.61/2.81 % (23941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.61/2.81 % (23941)Termination reason: Unknown
% 9.61/2.81 % (23941)Termination phase: Saturation
% 9.61/2.81
% 9.61/2.81 % (23941)Memory used [KB]: 9210
% 9.61/2.81 % (23941)Time elapsed: 0.270 s
% 9.61/2.81 % (23941)Instructions burned: 933 (million)
% 9.61/2.81 % (23941)------------------------------
% 9.61/2.81 % (23941)------------------------------
% 9.61/2.81 % (23944)Instruction limit reached!
% 9.61/2.81 % (23944)------------------------------
% 9.61/2.81 % (23944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.61/2.81 % (23944)Termination reason: Unknown
% 9.61/2.81 % (23944)Termination phase: Saturation
% 9.61/2.81
% 9.61/2.81 % (23944)Memory used [KB]: 6652
% 9.61/2.81 % (23944)Time elapsed: 0.224 s
% 9.61/2.81 % (23944)Instructions burned: 772 (million)
% 9.61/2.81 % (23944)------------------------------
% 9.61/2.81 % (23944)------------------------------
% 9.61/2.82 % (23946)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_23690 for (2984ds/464Mi)
% 9.61/2.82 % (23947)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_23690 for (2984ds/1376Mi)
% 9.61/2.83 % (23946)Refutation not found, incomplete strategy
% 9.61/2.83 % (23946)------------------------------
% 9.61/2.83 % (23946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.61/2.83 % (23946)Termination reason: Refutation not found, incomplete strategy
% 9.61/2.83
% 9.61/2.83
% 9.61/2.83 % (23946)Memory used [KB]: 5756
% 9.61/2.83 % (23946)Time elapsed: 0.013 s
% 9.61/2.83 % (23946)Instructions burned: 38 (million)
% 9.61/2.83 % (23946)------------------------------
% 9.61/2.83 % (23946)------------------------------
% 9.61/2.84 % (23945)Instruction limit reached!
% 9.61/2.84 % (23945)------------------------------
% 9.61/2.84 % (23945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.61/2.84 % (23945)Termination reason: Unknown
% 9.61/2.84 % (23945)Termination phase: Saturation
% 9.61/2.84
% 9.61/2.84 % (23945)Memory used [KB]: 3709
% 9.61/2.84 % (23945)Time elapsed: 0.230 s
% 9.61/2.84 % (23945)Instructions burned: 796 (million)
% 9.61/2.84 % (23945)------------------------------
% 9.61/2.84 % (23945)------------------------------
% 9.61/2.84 % (23948)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_23690 for (2984ds/906Mi)
% 9.61/2.85 % (23949)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_23690 for (2984ds/434Mi)
% 10.39/2.93 % (23938)Instruction limit reached!
% 10.39/2.93 % (23938)------------------------------
% 10.39/2.93 % (23938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.39/2.93 % (23938)Termination reason: Unknown
% 10.39/2.93 % (23938)Termination phase: Saturation
% 10.39/2.93
% 10.39/2.93 % (23938)Memory used [KB]: 7419
% 10.39/2.93 % (23938)Time elapsed: 0.455 s
% 10.39/2.93 % (23938)Instructions burned: 1830 (million)
% 10.39/2.93 % (23938)------------------------------
% 10.39/2.93 % (23938)------------------------------
% 10.39/2.94 % (23950)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_23690 for (2983ds/865Mi)
% 10.39/2.97 % (23949)Instruction limit reached!
% 10.39/2.97 % (23949)------------------------------
% 10.39/2.97 % (23949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.39/2.97 % (23949)Termination reason: Unknown
% 10.39/2.97 % (23949)Termination phase: Saturation
% 10.39/2.97
% 10.39/2.97 % (23949)Memory used [KB]: 6396
% 10.39/2.97 % (23949)Time elapsed: 0.125 s
% 10.39/2.97 % (23949)Instructions burned: 434 (million)
% 10.39/2.97 % (23949)------------------------------
% 10.39/2.97 % (23949)------------------------------
% 10.39/2.98 % (23951)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_23690 for (2982ds/593Mi)
% 13.77/3.10 % (23948)Instruction limit reached!
% 13.77/3.10 % (23948)------------------------------
% 13.77/3.10 % (23948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.77/3.10 % (23948)Termination reason: Unknown
% 13.77/3.10 % (23948)Termination phase: Saturation
% 13.77/3.10
% 13.77/3.10 % (23948)Memory used [KB]: 8059
% 13.77/3.10 % (23948)Time elapsed: 0.258 s
% 13.77/3.10 % (23948)Instructions burned: 908 (million)
% 13.77/3.10 % (23948)------------------------------
% 13.77/3.10 % (23948)------------------------------
% 13.77/3.11 % (23952)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_23690 for (2981ds/443Mi)
% 14.47/3.15 % (23951)Instruction limit reached!
% 14.47/3.15 % (23951)------------------------------
% 14.47/3.15 % (23951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.47/3.15 % (23951)Termination reason: Unknown
% 14.47/3.15 % (23951)Termination phase: Saturation
% 14.47/3.15
% 14.47/3.15 % (23951)Memory used [KB]: 6780
% 14.47/3.15 % (23951)Time elapsed: 0.168 s
% 14.47/3.15 % (23951)Instructions burned: 593 (million)
% 14.47/3.15 % (23951)------------------------------
% 14.47/3.15 % (23951)------------------------------
% 14.47/3.15 % (23947)First to succeed.
% 14.47/3.16 % (23947)Refutation found. Thanks to Tanya!
% 14.47/3.16 % SZS status Theorem for DTF2THF_23690
% 14.47/3.16 % SZS output start Proof for DTF2THF_23690
% 14.47/3.16 thf(func_def_0, type, cS: $i > $i).
% 14.47/3.16 thf(func_def_1, type, cDOUBLE: $i > $i > $o).
% 14.47/3.16 thf(func_def_2, type, cHALF: $i > $i > $o).
% 14.47/3.16 thf(func_def_18, type, ph1: !>[X0: $tType]:(X0)).
% 14.47/3.16 thf(f1199,plain,(
% 14.47/3.16 $false),
% 14.47/3.16 inference(trivial_inequality_removal,[status(thm)],[f1198])).
% 14.47/3.16 thf(f1198,plain,(
% 14.47/3.16 ($true = $false)),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f1197])).
% 14.47/3.16 thf(f1197,plain,(
% 14.47/3.16 ($false = ($false => ((cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK6)))) | (cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK6))))))),
% 14.47/3.16 inference(forward_demodulation,[status(thm)],[f1175,f1117])).
% 14.47/3.16 thf(f1117,plain,(
% 14.47/3.16 ($false = (cDOUBLE @ (cS @ sK8) @ (cS @ sK6)))),
% 14.47/3.16 inference(trivial_inequality_removal,[status(thm)],[f1116])).
% 14.47/3.16 thf(f1116,plain,(
% 14.47/3.16 ($true = $false) | ($false = (cDOUBLE @ (cS @ sK8) @ (cS @ sK6)))),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f1115])).
% 14.47/3.16 thf(f1115,plain,(
% 14.47/3.16 ((((cDOUBLE @ (cS @ sK8) @ (cS @ sK6)) | (cDOUBLE @ sK8 @ sK6)) => $true) = $false) | ($false = (cDOUBLE @ (cS @ sK8) @ (cS @ sK6)))),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f1111])).
% 14.47/3.16 thf(f1111,plain,(
% 14.47/3.16 ($false = (cDOUBLE @ (cS @ sK8) @ (cS @ sK6))) | ((((cDOUBLE @ (cS @ sK8) @ (cS @ sK6)) | (cDOUBLE @ sK8 @ sK6)) => ($true | (cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK6))))) = $false)),
% 14.47/3.16 inference(superposition,[status(thm)],[f1062,f69])).
% 14.47/3.16 thf(f69,plain,(
% 14.47/3.16 ( ! [X2 : $i,X1 : $i] : (($true = (cDOUBLE @ (cS @ X2) @ (cS @ (cS @ X1)))) | ($false = (cDOUBLE @ X2 @ X1))) )),
% 14.47/3.16 inference(binary_proxy_clausification,[status(thm)],[f68])).
% 14.47/3.16 thf(f68,plain,(
% 14.47/3.16 ( ! [X2 : $i,X1 : $i] : (($true = ((cDOUBLE @ X2 @ X1) => (cDOUBLE @ (cS @ X2) @ (cS @ (cS @ X1)))))) )),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f67])).
% 14.47/3.16 thf(f67,plain,(
% 14.47/3.16 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((cDOUBLE @ Y0 @ X1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ X1))))) @ X2))) )),
% 14.47/3.16 inference(pi_clausification,[status(thm)],[f58])).
% 14.47/3.16 thf(f58,plain,(
% 14.47/3.16 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((cDOUBLE @ Y0 @ X1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ X1)))))))) )),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f53])).
% 14.47/3.16 thf(f53,plain,(
% 14.47/3.16 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))) @ X1))) )),
% 14.47/3.16 inference(pi_clausification,[status(thm)],[f39])).
% 14.47/3.16 thf(f39,plain,(
% 14.47/3.16 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))) = $true)),
% 14.47/3.16 inference(binary_proxy_clausification,[status(thm)],[f9])).
% 14.47/3.16 thf(f9,plain,(
% 14.47/3.16 ((((cDOUBLE @ c0 @ c0) & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((((cHALF @ Y2 @ Y1) & (Y0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ Y2 @ Y1))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))))) = $true)),
% 14.47/3.16 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 14.47/3.16 thf(f7,plain,(
% 14.47/3.16 ($false = ((((cDOUBLE @ c0 @ c0) & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((((cHALF @ Y2 @ Y1) & (Y0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ Y2 @ Y1))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)))))))))),
% 14.47/3.16 inference(not_proxy_clausification,[status(thm)],[f6])).
% 14.47/3.16 thf(f6,plain,(
% 14.47/3.16 ($true = (~ ((((cDOUBLE @ c0 @ c0) & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((((cHALF @ Y2 @ Y1) & (Y0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ Y2 @ Y1))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0))))))))))),
% 14.47/3.16 inference(cnf_transformation,[status(thm)],[f5])).
% 14.47/3.16 thf(f5,plain,(
% 14.47/3.16 ($true = (~ ((((cDOUBLE @ c0 @ c0) & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((((cHALF @ Y2 @ Y1) & (Y0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ Y2 @ Y1))))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0))))))))))),
% 14.47/3.16 inference(fool_elimination,[status(thm)],[f4])).
% 14.47/3.16 thf(f4,plain,(
% 14.47/3.16 ~((! [X0 : $i,X1 : $i] : ((cDOUBLE @ X0 @ X1) => (cDOUBLE @ (cS @ X0) @ (cS @ (cS @ X1)))) & ! [X2 : $i,X3 : $i,X4 : $i > $i > $o] : (((X4 @ c0 @ c0) & ! [X5 : $i,X6 : $i] : ((X4 @ X6 @ X5) => (X4 @ (cS @ (cS @ X6)) @ (cS @ X5))) & (X4 @ (cS @ c0) @ c0) & (cHALF @ X2 @ X3)) => (X4 @ X2 @ X3)) & (cDOUBLE @ c0 @ c0)) => ! [X7 : $i,X8 : $i] : ((cHALF @ X8 @ X7) => ((cDOUBLE @ X7 @ X8) | (cDOUBLE @ (cS @ X7) @ (cS @ X8)))))),
% 14.47/3.16 inference(rectify,[status(thm)],[f2])).
% 14.47/3.16 thf(f2,negated_conjecture,(
% 14.47/3.16 ~((! [X0 : $i,X1 : $i] : ((cDOUBLE @ X0 @ X1) => (cDOUBLE @ (cS @ X0) @ (cS @ (cS @ X1)))) & ! [X3 : $i,X4 : $i,X2 : $i > $i > $o] : (((X2 @ c0 @ c0) & ! [X1 : $i,X0 : $i] : ((X2 @ X0 @ X1) => (X2 @ (cS @ (cS @ X0)) @ (cS @ X1))) & (X2 @ (cS @ c0) @ c0) & (cHALF @ X3 @ X4)) => (X2 @ X3 @ X4)) & (cDOUBLE @ c0 @ c0)) => ! [X4 : $i,X3 : $i] : ((cHALF @ X3 @ X4) => ((cDOUBLE @ X4 @ X3) | (cDOUBLE @ (cS @ X4) @ (cS @ X3)))))),
% 14.47/3.16 inference(negated_conjecture,[status(cth)],[f1])).
% 14.47/3.16 thf(f1,conjecture,(
% 14.47/3.16 (! [X0 : $i,X1 : $i] : ((cDOUBLE @ X0 @ X1) => (cDOUBLE @ (cS @ X0) @ (cS @ (cS @ X1)))) & ! [X3 : $i,X4 : $i,X2 : $i > $i > $o] : (((X2 @ c0 @ c0) & ! [X1 : $i,X0 : $i] : ((X2 @ X0 @ X1) => (X2 @ (cS @ (cS @ X0)) @ (cS @ X1))) & (X2 @ (cS @ c0) @ c0) & (cHALF @ X3 @ X4)) => (X2 @ X3 @ X4)) & (cDOUBLE @ c0 @ c0)) => ! [X4 : $i,X3 : $i] : ((cHALF @ X3 @ X4) => ((cDOUBLE @ X4 @ X3) | (cDOUBLE @ (cS @ X4) @ (cS @ X3))))),
% 14.47/3.16 file('/export/starexec/sandbox2/tmp/tmp.QYd64hO0fT/DTF2THF_23690.p',cTHM300)).
% 14.47/3.16 thf(f1062,plain,(
% 14.47/3.16 ((((cDOUBLE @ (cS @ sK8) @ (cS @ sK6)) | (cDOUBLE @ sK8 @ sK6)) => ((cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK6)))) | (cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK6))))) = $false)),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f1061])).
% 14.47/3.16 thf(f1061,plain,(
% 14.47/3.16 ($false = ((^[Y0 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ sK6)) | (cDOUBLE @ Y0 @ sK6)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ sK6)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ sK6)))))) @ sK8))),
% 14.47/3.16 inference(sigma_clausification,[status(thm)],[f957])).
% 14.47/3.16 thf(f957,plain,(
% 14.47/3.16 ($false = (!! @ $i @ (^[Y0 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ sK6)) | (cDOUBLE @ Y0 @ sK6)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ sK6)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ sK6))))))))),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f953])).
% 14.47/3.16 thf(f953,plain,(
% 14.47/3.16 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))) @ sK6) = $false)),
% 14.47/3.16 inference(sigma_clausification,[status(thm)],[f917])).
% 14.47/3.16 thf(f917,plain,(
% 14.47/3.16 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))))))),
% 14.47/3.16 inference(not_proxy_clausification,[status(thm)],[f757])).
% 14.47/3.16 thf(f757,plain,(
% 14.47/3.16 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))))))),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f756])).
% 14.47/3.16 thf(f756,plain,(
% 14.47/3.16 ((~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))))) & $true)) = $true)),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f755])).
% 14.47/3.16 thf(f755,plain,(
% 14.47/3.16 ((~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))))) & ((cDOUBLE @ (cS @ c0) @ (cS @ c0)) | $true))) = $true)),
% 14.47/3.16 inference(forward_demodulation,[status(thm)],[f754,f75])).
% 14.47/3.16 thf(f75,plain,(
% 14.47/3.16 ((cDOUBLE @ c0 @ c0) = $true)),
% 14.47/3.16 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 14.47/3.16 thf(f40,plain,(
% 14.47/3.16 ($true = ((cDOUBLE @ c0 @ c0) & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((((cHALF @ Y2 @ Y1) & (Y0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ Y2 @ Y1))))))))))),
% 14.47/3.16 inference(binary_proxy_clausification,[status(thm)],[f9])).
% 14.47/3.16 thf(f754,plain,(
% 14.47/3.16 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))))) & ((cDOUBLE @ (cS @ c0) @ (cS @ c0)) | (cDOUBLE @ c0 @ c0)))))),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f753])).
% 14.47/3.16 thf(f753,plain,(
% 14.47/3.16 ($true = (~ (($true & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))))) & ((cDOUBLE @ (cS @ c0) @ (cS @ c0)) | (cDOUBLE @ c0 @ c0)))))),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f752])).
% 14.47/3.16 thf(f752,plain,(
% 14.47/3.16 ($true = (~ ((($true | (cDOUBLE @ c0 @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))))) & ((cDOUBLE @ (cS @ c0) @ (cS @ c0)) | (cDOUBLE @ c0 @ c0)))))),
% 14.47/3.16 inference(forward_demodulation,[status(thm)],[f575,f96])).
% 14.47/3.16 thf(f96,plain,(
% 14.47/3.16 ((cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0))) = $true)),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f92])).
% 14.47/3.16 thf(f92,plain,(
% 14.47/3.16 ($true = ($true => (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0)))))),
% 14.47/3.16 inference(superposition,[status(thm)],[f68,f75])).
% 14.47/3.16 thf(f575,plain,(
% 14.47/3.16 ($true = (~ ((((cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0))) | (cDOUBLE @ c0 @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))))) & ((cDOUBLE @ (cS @ c0) @ (cS @ c0)) | (cDOUBLE @ c0 @ c0)))))),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f574])).
% 14.47/3.16 thf(f574,plain,(
% 14.47/3.16 ($true = (((((cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0))) | (cDOUBLE @ c0 @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ Y1)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))))) & ((cDOUBLE @ (cS @ c0) @ (cS @ c0)) | (cDOUBLE @ c0 @ c0))) => $false))),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f517])).
% 14.47/3.16 thf(f517,plain,(
% 14.47/3.16 ($true = (((((^[Y0 : $i]: ((^[Y1 : $i]: (((^[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) | ((^[Y2 : $i]: ((^[Y3 : $i]: (cDOUBLE @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))) @ Y2 @ Y3))))) @ Y0 @ Y1))))) @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (((^[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) | ((^[Y4 : $i]: ((^[Y5 : $i]: (cDOUBLE @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: (((^[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) | ((^[Y4 : $i]: ((^[Y5 : $i]: (cDOUBLE @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ (cS @ (cS @ Y0)) @ (cS @ Y1)))))))) & ((^[Y0 : $i]: ((^[Y1 : $i]: (((^[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) | ((^[Y2 : $i]: ((^[Y3 : $i]: (cDOUBLE @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))) @ Y2 @ Y3))))) @ Y0 @ Y1))))) @ c0 @ c0)) => $false))),
% 14.47/3.16 inference(superposition,[status(thm)],[f265,f23])).
% 14.47/3.16 thf(f23,plain,(
% 14.47/3.16 (((cDOUBLE @ (cS @ sK3) @ (cS @ sK2)) | (cDOUBLE @ sK3 @ sK2)) = $false)),
% 14.47/3.16 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 14.47/3.16 thf(f22,plain,(
% 14.47/3.16 ($false = ((cHALF @ sK2 @ sK3) => ((cDOUBLE @ (cS @ sK3) @ (cS @ sK2)) | (cDOUBLE @ sK3 @ sK2))))),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f21])).
% 14.47/3.16 thf(f21,plain,(
% 14.47/3.16 ($false = ((^[Y0 : $i]: ((cHALF @ sK2 @ Y0) => ((cDOUBLE @ (cS @ Y0) @ (cS @ sK2)) | (cDOUBLE @ Y0 @ sK2)))) @ sK3))),
% 14.47/3.16 inference(sigma_clausification,[status(thm)],[f18])).
% 14.47/3.16 thf(f18,plain,(
% 14.47/3.16 ($false = (!! @ $i @ (^[Y0 : $i]: ((cHALF @ sK2 @ Y0) => ((cDOUBLE @ (cS @ Y0) @ (cS @ sK2)) | (cDOUBLE @ Y0 @ sK2))))))),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f12])).
% 14.47/3.16 thf(f12,plain,(
% 14.47/3.16 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)))))) @ sK2) = $false)),
% 14.47/3.16 inference(sigma_clausification,[status(thm)],[f8])).
% 14.47/3.16 thf(f8,plain,(
% 14.47/3.16 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0))))))) = $false)),
% 14.47/3.16 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 14.47/3.16 thf(f265,plain,(
% 14.47/3.16 ( ! [X0 : $i > $i > $o] : ((((((X0 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X0 @ Y0 @ Y1) => (X0 @ (cS @ (cS @ Y0)) @ (cS @ Y1)))))))) & (X0 @ c0 @ c0)) => (X0 @ sK2 @ sK3)) = $true)) )),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f220])).
% 14.47/3.16 thf(f220,plain,(
% 14.47/3.16 ( ! [X0 : $i > $i > $o] : (($true = (((($true & (X0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X0 @ Y0 @ Y1) => (X0 @ (cS @ (cS @ Y0)) @ (cS @ Y1)))))))) & (X0 @ c0 @ c0)) => (X0 @ sK2 @ sK3)))) )),
% 14.47/3.16 inference(superposition,[status(thm)],[f163,f24])).
% 14.47/3.16 thf(f24,plain,(
% 14.47/3.16 ($true = (cHALF @ sK2 @ sK3))),
% 14.47/3.16 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 14.47/3.16 thf(f163,plain,(
% 14.47/3.16 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (((((((cHALF @ X3 @ X2) & (X1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y0 @ Y1) => (X1 @ (cS @ (cS @ Y0)) @ (cS @ Y1)))))))) & (X1 @ c0 @ c0)) => (X1 @ X3 @ X2)) = $true)) )),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f162])).
% 14.47/3.16 thf(f162,plain,(
% 14.47/3.16 ( ! [X2 : $i,X3 : $i,X1 : $i > $i > $o] : (($true = ((^[Y0 : $i]: (((((cHALF @ Y0 @ X2) & (X1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ Y1 @ Y2) => (X1 @ (cS @ (cS @ Y1)) @ (cS @ Y2)))))))) & (X1 @ c0 @ c0)) => (X1 @ Y0 @ X2))) @ X3))) )),
% 14.47/3.16 inference(pi_clausification,[status(thm)],[f149])).
% 14.47/3.16 thf(f149,plain,(
% 14.47/3.16 ( ! [X2 : $i,X1 : $i > $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: (((((cHALF @ Y0 @ X2) & (X1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ Y1 @ Y2) => (X1 @ (cS @ (cS @ Y1)) @ (cS @ Y2)))))))) & (X1 @ c0 @ c0)) => (X1 @ Y0 @ X2)))))) )),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f148])).
% 14.47/3.16 thf(f148,plain,(
% 14.47/3.16 ( ! [X2 : $i,X1 : $i > $i > $o] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((((cHALF @ Y1 @ Y0) & (X1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((X1 @ Y2 @ Y3) => (X1 @ (cS @ (cS @ Y2)) @ (cS @ Y3)))))))) & (X1 @ c0 @ c0)) => (X1 @ Y1 @ Y0))))) @ X2))) )),
% 14.47/3.16 inference(pi_clausification,[status(thm)],[f121])).
% 14.47/3.16 thf(f121,plain,(
% 14.47/3.16 ( ! [X1 : $i > $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((((cHALF @ Y1 @ Y0) & (X1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((X1 @ Y2 @ Y3) => (X1 @ (cS @ (cS @ Y2)) @ (cS @ Y3)))))))) & (X1 @ c0 @ c0)) => (X1 @ Y1 @ Y0)))))))) )),
% 14.47/3.16 inference(beta_eta_normalization,[status(thm)],[f114])).
% 14.47/3.16 thf(f114,plain,(
% 14.47/3.16 ( ! [X1 : $i > $i > $o] : (($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((((cHALF @ Y2 @ Y1) & (Y0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ Y2 @ Y1))))))) @ X1))) )),
% 14.47/3.16 inference(pi_clausification,[status(thm)],[f74])).
% 14.47/3.16 thf(f74,plain,(
% 14.47/3.16 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((((cHALF @ Y2 @ Y1) & (Y0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y0 @ Y3 @ Y4) => (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y4)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ Y2 @ Y1)))))))) = $true)),
% 14.47/3.16 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 14.47/3.16 thf(f1175,plain,(
% 14.47/3.16 ($false = ((cDOUBLE @ (cS @ sK8) @ (cS @ sK6)) => ((cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK6)))) | (cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK6))))))),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f1156])).
% 14.47/3.16 thf(f1156,plain,(
% 14.47/3.16 ((((cDOUBLE @ (cS @ sK8) @ (cS @ sK6)) | $false) => ((cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK6)))) | (cDOUBLE @ (cS @ sK8) @ (cS @ (cS @ sK6))))) = $false)),
% 14.47/3.16 inference(superposition,[status(thm)],[f1062,f1114])).
% 14.47/3.16 thf(f1114,plain,(
% 14.47/3.16 ($false = (cDOUBLE @ sK8 @ sK6))),
% 14.47/3.16 inference(trivial_inequality_removal,[status(thm)],[f1113])).
% 14.47/3.16 thf(f1113,plain,(
% 14.47/3.16 ($false = (cDOUBLE @ sK8 @ sK6)) | ($true = $false)),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f1112])).
% 14.47/3.16 thf(f1112,plain,(
% 14.47/3.16 ($false = (cDOUBLE @ sK8 @ sK6)) | ((((cDOUBLE @ (cS @ sK8) @ (cS @ sK6)) | (cDOUBLE @ sK8 @ sK6)) => $true) = $false)),
% 14.47/3.16 inference(boolean_simplification,[status(thm)],[f1110])).
% 14.47/3.16 thf(f1110,plain,(
% 14.47/3.16 ((((cDOUBLE @ (cS @ sK8) @ (cS @ sK6)) | (cDOUBLE @ sK8 @ sK6)) => ((cDOUBLE @ (cS @ (cS @ sK8)) @ (cS @ (cS @ (cS @ sK6)))) | $true)) = $false) | ($false = (cDOUBLE @ sK8 @ sK6))),
% 14.47/3.16 inference(superposition,[status(thm)],[f1062,f69])).
% 14.47/3.16 % SZS output end Proof for DTF2THF_23690
% 14.47/3.16 % (23947)------------------------------
% 14.47/3.16 % (23947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.47/3.16 % (23947)Termination reason: Refutation
% 14.47/3.16
% 14.47/3.16 % (23947)Memory used [KB]: 11385
% 14.47/3.16 % (23947)Time elapsed: 0.340 s
% 14.47/3.16 % (23947)Instructions burned: 1082 (million)
% 14.47/3.16 % (23947)------------------------------
% 14.47/3.16 % (23947)------------------------------
% 14.47/3.16 % (23790)Success in time 1.893 s
%------------------------------------------------------------------------------