%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO337^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:53:59 AM UTC 2026
% Result : Theorem 24.76s 4.97s
% Output : Refutation 24.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 1
% Syntax : Number of formulae : 65 ( 55 unt; 0 typ; 0 def)
% Number of atoms : 934 ( 68 equ; 0 cnn)
% Maximal formula atoms : 22 ( 14 avg)
% Number of connectives : 2500 ( 38 ~; 188 |; 128 &;1865 @)
% ( 0 <=>; 124 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 198 ( 198 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 8 con; 0-2 aty)
% ( 157 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 290 ( 231 ^; 59 !; 0 ?; 290 :)
% 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(f1359,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f1358]) ).
thf(f1358,plain,
$false = $true,
inference(boolean_simplification,[status(thm)],[f1357]) ).
thf(f1357,plain,
( $false
= ( $false
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK6 ) ) @ ( cS @ ( cS @ ( cS @ sK8 ) ) ) )
| ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ ( cS @ sK8 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f1329,f1176]) ).
thf(f1176,plain,
( $false
= ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1175]) ).
thf(f1175,plain,
( ( $false = $true )
| ( $false
= ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f1174]) ).
thf(f1174,plain,
( ( $false
= ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) ) )
| ( $false
= ( ( ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) )
| ( cDOUBLE @ sK6 @ sK8 ) )
=> $true ) ) ),
inference(boolean_simplification,[status(thm)],[f1173]) ).
thf(f1173,plain,
( ( $false
= ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) ) )
| ( $false
= ( ( ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) )
| ( cDOUBLE @ sK6 @ sK8 ) )
=> ( $true
| ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ ( cS @ sK8 ) ) ) ) ) ) ),
inference(superposition,[status(thm)],[f1114,f125]) ).
thf(f125,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( cDOUBLE @ ( cS @ X2 ) @ ( cS @ ( cS @ X1 ) ) ) )
| ( $false
= ( cDOUBLE @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f124]) ).
thf(f124,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( cDOUBLE @ X2 @ X1 )
=> ( cDOUBLE @ ( cS @ X2 ) @ ( cS @ ( cS @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f123]) ).
thf(f123,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( cDOUBLE @ Y0 @ X1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ X1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f107]) ).
thf(f107,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( cDOUBLE @ Y0 @ X1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ X1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f101]) ).
thf(f101,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f54]) ).
thf(f54,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
thf(f40,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cHALF @ Y1 @ Y0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( ( Y2 @ ( cS @ c0 ) @ c0 )
| ( Y3 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ( Y3 @ Y5 @ Y4 )
| ( Y2 @ Y5 @ Y4 ) )
=> ( ( Y3 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) )
| ( Y2 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) ) ) ) ) )
& ( ( Y2 @ c0 @ c0 )
| ( Y3 @ c0 @ c0 ) ) )
=> ( ( Y3 @ Y1 @ Y0 )
| ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( Y2 @ c0 @ c0 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
& ~ ( cHALF @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $false
= ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cHALF @ Y1 @ Y0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( ( Y2 @ ( cS @ c0 ) @ c0 )
| ( Y3 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ( Y3 @ Y5 @ Y4 )
| ( Y2 @ Y5 @ Y4 ) )
=> ( ( Y3 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) )
| ( Y2 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) ) ) ) ) )
& ( ( Y2 @ c0 @ c0 )
| ( Y3 @ c0 @ c0 ) ) )
=> ( ( Y3 @ Y1 @ Y0 )
| ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( Y2 @ c0 @ c0 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
& ~ ( cHALF @ Y1 @ 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
= ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cHALF @ Y1 @ Y0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( ( Y2 @ ( cS @ c0 ) @ c0 )
| ( Y3 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ( Y3 @ Y5 @ Y4 )
| ( Y2 @ Y5 @ Y4 ) )
=> ( ( Y3 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) )
| ( Y2 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) ) ) ) ) )
& ( ( Y2 @ c0 @ c0 )
| ( Y3 @ c0 @ c0 ) ) )
=> ( ( Y3 @ Y1 @ Y0 )
| ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( Y2 @ c0 @ c0 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
& ~ ( cHALF @ Y1 @ 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
= ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cHALF @ Y1 @ Y0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( ( Y2 @ ( cS @ c0 ) @ c0 )
| ( Y3 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ( Y3 @ Y5 @ Y4 )
| ( Y2 @ Y5 @ Y4 ) )
=> ( ( Y3 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) )
| ( Y2 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) ) ) ) ) )
& ( ( Y2 @ c0 @ c0 )
| ( Y3 @ c0 @ c0 ) ) )
=> ( ( Y3 @ Y1 @ Y0 )
| ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( Y2 @ c0 @ c0 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
& ~ ( cHALF @ Y1 @ 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] :
( ( ~ ( cHALF @ X0 @ X1 )
& ~ ! [X2: $i > $i > $o] :
( ( ( X2 @ c0 @ c0 )
& ! [X3: $i,X4: $i] :
( ( X2 @ X3 @ X4 )
=> ( X2 @ ( cS @ ( cS @ X3 ) ) @ ( cS @ X4 ) ) )
& ( X2 @ ( cS @ c0 ) @ c0 ) )
=> ( X2 @ X0 @ X1 ) ) )
| ( ! [X5: $i > $i > $o,X6: $i > $i > $o] :
( ( ( ( X5 @ c0 @ c0 )
| ( X6 @ c0 @ c0 ) )
& ! [X7: $i,X8: $i] :
( ( ( X6 @ X7 @ X8 )
| ( X5 @ X7 @ X8 ) )
=> ( ( X6 @ ( cS @ ( cS @ X7 ) ) @ ( cS @ X8 ) )
| ( X5 @ ( cS @ ( cS @ X7 ) ) @ ( cS @ X8 ) ) ) )
& ( ( X5 @ ( cS @ c0 ) @ c0 )
| ( X6 @ ( cS @ c0 ) @ c0 ) ) )
=> ( ( X6 @ X0 @ X1 )
| ( X5 @ X0 @ X1 ) ) )
& ( cHALF @ X0 @ X1 ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ! [X9: $i,X10: $i] :
( ( cDOUBLE @ X9 @ X10 )
=> ( cDOUBLE @ ( cS @ X9 ) @ ( cS @ ( cS @ X10 ) ) ) ) )
=> ! [X11: $i,X12: $i] :
( ( cHALF @ X12 @ X11 )
=> ( ( cDOUBLE @ X11 @ X12 )
| ( cDOUBLE @ ( cS @ X11 ) @ ( cS @ X12 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X0: $i,X1: $i] :
( ( ~ ( cHALF @ X0 @ X1 )
& ~ ! [X6: $i > $i > $o] :
( ( ( X6 @ c0 @ c0 )
& ! [X4: $i,X5: $i] :
( ( X6 @ X4 @ X5 )
=> ( X6 @ ( cS @ ( cS @ X4 ) ) @ ( cS @ X5 ) ) )
& ( X6 @ ( cS @ c0 ) @ c0 ) )
=> ( X6 @ X0 @ X1 ) ) )
| ( ! [X2: $i > $i > $o,X3: $i > $i > $o] :
( ( ( ( X2 @ c0 @ c0 )
| ( X3 @ c0 @ c0 ) )
& ! [X4: $i,X5: $i] :
( ( ( X3 @ X4 @ X5 )
| ( X2 @ X4 @ X5 ) )
=> ( ( X3 @ ( cS @ ( cS @ X4 ) ) @ ( cS @ X5 ) )
| ( X2 @ ( cS @ ( cS @ X4 ) ) @ ( cS @ X5 ) ) ) )
& ( ( X2 @ ( cS @ c0 ) @ c0 )
| ( X3 @ ( cS @ c0 ) @ c0 ) ) )
=> ( ( X3 @ X0 @ X1 )
| ( X2 @ X0 @ X1 ) ) )
& ( cHALF @ X0 @ X1 ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ! [X4: $i,X5: $i] :
( ( cDOUBLE @ X4 @ X5 )
=> ( cDOUBLE @ ( cS @ X4 ) @ ( cS @ ( cS @ X5 ) ) ) ) )
=> ! [X1: $i,X0: $i] :
( ( cHALF @ X0 @ X1 )
=> ( ( cDOUBLE @ X1 @ X0 )
| ( cDOUBLE @ ( cS @ X1 ) @ ( cS @ X0 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( ! [X0: $i,X1: $i] :
( ( ~ ( cHALF @ X0 @ X1 )
& ~ ! [X6: $i > $i > $o] :
( ( ( X6 @ c0 @ c0 )
& ! [X4: $i,X5: $i] :
( ( X6 @ X4 @ X5 )
=> ( X6 @ ( cS @ ( cS @ X4 ) ) @ ( cS @ X5 ) ) )
& ( X6 @ ( cS @ c0 ) @ c0 ) )
=> ( X6 @ X0 @ X1 ) ) )
| ( ! [X2: $i > $i > $o,X3: $i > $i > $o] :
( ( ( ( X2 @ c0 @ c0 )
| ( X3 @ c0 @ c0 ) )
& ! [X4: $i,X5: $i] :
( ( ( X3 @ X4 @ X5 )
| ( X2 @ X4 @ X5 ) )
=> ( ( X3 @ ( cS @ ( cS @ X4 ) ) @ ( cS @ X5 ) )
| ( X2 @ ( cS @ ( cS @ X4 ) ) @ ( cS @ X5 ) ) ) )
& ( ( X2 @ ( cS @ c0 ) @ c0 )
| ( X3 @ ( cS @ c0 ) @ c0 ) ) )
=> ( ( X3 @ X0 @ X1 )
| ( X2 @ X0 @ X1 ) ) )
& ( cHALF @ X0 @ X1 ) ) )
& ( cDOUBLE @ c0 @ c0 )
& ! [X4: $i,X5: $i] :
( ( cDOUBLE @ X4 @ X5 )
=> ( cDOUBLE @ ( cS @ X4 ) @ ( cS @ ( cS @ X5 ) ) ) ) )
=> ! [X1: $i,X0: $i] :
( ( cHALF @ X0 @ X1 )
=> ( ( cDOUBLE @ X1 @ X0 )
| ( cDOUBLE @ ( cS @ X1 ) @ ( cS @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vXwBbukJja/DTF2THF_6083.p',cTHM300A_EXPAND) ).
thf(f1114,plain,
( $false
= ( ( ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) )
| ( cDOUBLE @ sK6 @ sK8 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK6 ) ) @ ( cS @ ( cS @ ( cS @ sK8 ) ) ) )
| ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ ( cS @ sK8 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f1113]) ).
thf(f1113,plain,
( $false
= ( ^ [Y0: $i] :
( ( ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ sK6 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK6 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ ( cS @ Y0 ) ) ) ) )
@ sK8 ) ),
inference(sigma_clausification,[status(thm)],[f1031]) ).
thf(f1031,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ sK6 @ Y0 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK6 ) ) @ ( cS @ ( cS @ ( cS @ Y0 ) ) ) )
| ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f1022]) ).
thf(f1022,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) )
@ sK6 ) ),
inference(sigma_clausification,[status(thm)],[f735]) ).
thf(f735,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f484]) ).
thf(f484,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f483]) ).
thf(f483,plain,
( $true
= ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
& $true ) ) ),
inference(boolean_simplification,[status(thm)],[f482]) ).
thf(f482,plain,
( $true
= ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
& ( $true
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f481,f53]) ).
thf(f53,plain,
( ( cDOUBLE @ c0 @ c0 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
thf(f481,plain,
( ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ c0 )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f480]) ).
thf(f480,plain,
( ( ~ ( $true
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ c0 )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f479]) ).
thf(f479,plain,
( ( ~ ( ( ( cDOUBLE @ c0 @ ( cS @ c0 ) )
| $true )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ c0 )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) ) )
= $true ),
inference(forward_demodulation,[status(thm)],[f322,f129]) ).
thf(f129,plain,
( ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f126]) ).
thf(f126,plain,
( $true
= ( $true
=> ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference(superposition,[status(thm)],[f124,f53]) ).
thf(f322,plain,
( $true
= ( ~ ( ( ( cDOUBLE @ c0 @ ( cS @ c0 ) )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ c0 )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f321]) ).
thf(f321,plain,
( ( ( ( ( cDOUBLE @ c0 @ ( cS @ c0 ) )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ ( cS @ c0 ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ Y1 ) )
| ( cDOUBLE @ Y0 @ Y1 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ Y0 ) ) @ ( cS @ ( cS @ ( cS @ Y1 ) ) ) )
| ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ Y1 ) ) ) ) ) ) )
& ( ( cDOUBLE @ c0 @ c0 )
| ( cDOUBLE @ ( cS @ c0 ) @ ( cS @ c0 ) ) ) )
=> $false )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f215]) ).
thf(f215,plain,
( ( ( ( ( ^ [Y0: $i,Y1: $i] :
( cDOUBLE
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) )
@ ( cS @ c0 )
@ c0 )
| ( ^ [Y0: $i,Y1: $i] :
( cDOUBLE
@ ( ^ [Y2: $i,Y3: $i] :
( cS
@ ( ^ [Y4: $i,Y5: $i] : Y5
@ Y2
@ Y3 ) )
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] :
( cS
@ ( ^ [Y4: $i,Y5: $i] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ ( cS @ c0 )
@ c0 ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $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 ) )
@ Y1
@ Y0 )
| ( ^ [Y2: $i,Y3: $i] :
( cDOUBLE
@ ( ^ [Y4: $i,Y5: $i] : Y5
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : Y4
@ Y2
@ Y3 ) )
@ Y1
@ Y0 ) )
=> ( ( ^ [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 ) )
@ ( cS @ ( cS @ Y1 ) )
@ ( cS @ Y0 ) )
| ( ^ [Y2: $i,Y3: $i] :
( cDOUBLE
@ ( ^ [Y4: $i,Y5: $i] : Y5
@ Y2
@ Y3 )
@ ( ^ [Y4: $i,Y5: $i] : Y4
@ Y2
@ Y3 ) )
@ ( cS @ ( cS @ Y1 ) )
@ ( cS @ Y0 ) ) ) ) ) )
& ( ( ^ [Y0: $i,Y1: $i] :
( cDOUBLE
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) )
@ c0
@ c0 )
| ( ^ [Y0: $i,Y1: $i] :
( cDOUBLE
@ ( ^ [Y2: $i,Y3: $i] :
( cS
@ ( ^ [Y4: $i,Y5: $i] : Y5
@ Y2
@ Y3 ) )
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] :
( cS
@ ( ^ [Y4: $i,Y5: $i] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ c0
@ c0 ) ) )
=> $false )
= $true ),
inference(superposition,[status(thm)],[f183,f23]) ).
thf(f23,plain,
( $false
= ( ( cDOUBLE @ ( cS @ sK3 ) @ ( cS @ sK2 ) )
| ( cDOUBLE @ sK3 @ sK2 ) ) ),
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)],[f15]) ).
thf(f15,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,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cHALF @ Y0 @ Y1 )
=> ( ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ Y0 ) )
| ( cDOUBLE @ Y1 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f183,plain,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( ( ( ( X1 @ ( cS @ c0 ) @ c0 )
| ( X2 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( X2 @ Y1 @ Y0 )
| ( X1 @ Y1 @ Y0 ) )
=> ( ( X2 @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ Y0 ) )
| ( X1 @ ( cS @ ( cS @ Y1 ) ) @ ( cS @ Y0 ) ) ) ) ) )
& ( ( X1 @ c0 @ c0 )
| ( X2 @ c0 @ c0 ) ) )
=> ( ( X2 @ sK2 @ sK3 )
| ( X1 @ sK2 @ sK3 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f182]) ).
thf(f182,plain,
! [X2: $i > $i > $o,X1: $i > $i > $o] :
( ( ^ [Y0: $i > $i > $o] :
( ( ( ( X1 @ ( cS @ c0 ) @ c0 )
| ( Y0 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 @ Y1 )
| ( X1 @ Y2 @ Y1 ) )
=> ( ( Y0 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y1 ) )
| ( X1 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y1 ) ) ) ) ) )
& ( ( X1 @ c0 @ c0 )
| ( Y0 @ c0 @ c0 ) ) )
=> ( ( Y0 @ sK2 @ sK3 )
| ( X1 @ sK2 @ sK3 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f167]) ).
thf(f167,plain,
! [X1: $i > $i > $o] :
( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( ( X1 @ ( cS @ c0 ) @ c0 )
| ( Y0 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 @ Y1 )
| ( X1 @ Y2 @ Y1 ) )
=> ( ( Y0 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y1 ) )
| ( X1 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y1 ) ) ) ) ) )
& ( ( X1 @ c0 @ c0 )
| ( Y0 @ c0 @ c0 ) ) )
=> ( ( Y0 @ sK2 @ sK3 )
| ( X1 @ sK2 @ sK3 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f164]) ).
thf(f164,plain,
! [X1: $i > $i > $o] :
( ( ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( ( Y0 @ ( cS @ c0 ) @ c0 )
| ( Y1 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y1 @ Y3 @ Y2 )
| ( Y0 @ Y3 @ Y2 ) )
=> ( ( Y1 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) )
| ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) ) ) ) ) )
& ( ( Y0 @ c0 @ c0 )
| ( Y1 @ c0 @ c0 ) ) )
=> ( ( Y1 @ sK2 @ sK3 )
| ( Y0 @ sK2 @ sK3 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f151]) ).
thf(f151,plain,
( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( ( Y0 @ ( cS @ c0 ) @ c0 )
| ( Y1 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y1 @ Y3 @ Y2 )
| ( Y0 @ Y3 @ Y2 ) )
=> ( ( Y1 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) )
| ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) ) ) ) ) )
& ( ( Y0 @ c0 @ c0 )
| ( Y1 @ c0 @ c0 ) ) )
=> ( ( Y1 @ sK2 @ sK3 )
| ( Y0 @ sK2 @ sK3 ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f150]) ).
thf(f150,plain,
( ( $true
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( ( Y0 @ ( cS @ c0 ) @ c0 )
| ( Y1 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y1 @ Y3 @ Y2 )
| ( Y0 @ Y3 @ Y2 ) )
=> ( ( Y1 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) )
| ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) ) ) ) ) )
& ( ( Y0 @ c0 @ c0 )
| ( Y1 @ c0 @ c0 ) ) )
=> ( ( Y1 @ sK2 @ sK3 )
| ( Y0 @ sK2 @ sK3 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f149]) ).
thf(f149,plain,
( ( ( $true
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( ( Y0 @ ( cS @ c0 ) @ c0 )
| ( Y1 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y1 @ Y3 @ Y2 )
| ( Y0 @ Y3 @ Y2 ) )
=> ( ( Y1 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) )
| ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) ) ) ) ) )
& ( ( Y0 @ c0 @ c0 )
| ( Y1 @ c0 @ c0 ) ) )
=> ( ( Y1 @ sK2 @ sK3 )
| ( Y0 @ sK2 @ sK3 ) ) ) ) ) )
| $false )
= $true ),
inference(boolean_simplification,[status(thm)],[f148]) ).
thf(f148,plain,
( ( ( $true
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( ( Y0 @ ( cS @ c0 ) @ c0 )
| ( Y1 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y1 @ Y3 @ Y2 )
| ( Y0 @ Y3 @ Y2 ) )
=> ( ( Y1 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) )
| ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) ) ) ) ) )
& ( ( Y0 @ c0 @ c0 )
| ( Y1 @ c0 @ c0 ) ) )
=> ( ( Y1 @ sK2 @ sK3 )
| ( Y0 @ sK2 @ sK3 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y1 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ sK2 @ sK3 ) ) )
& $false ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f147]) ).
thf(f147,plain,
( ( ( $true
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( ( Y0 @ ( cS @ c0 ) @ c0 )
| ( Y1 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y1 @ Y3 @ Y2 )
| ( Y0 @ Y3 @ Y2 ) )
=> ( ( Y1 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) )
| ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) ) ) ) ) )
& ( ( Y0 @ c0 @ c0 )
| ( Y1 @ c0 @ c0 ) ) )
=> ( ( Y1 @ sK2 @ sK3 )
| ( Y0 @ sK2 @ sK3 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y1 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ sK2 @ sK3 ) ) )
& ~ $true ) )
= $true ),
inference(superposition,[status(thm)],[f133,f24]) ).
thf(f24,plain,
( $true
= ( cHALF @ sK2 @ sK3 ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f133,plain,
! [X2: $i,X1: $i] :
( ( ( ( cHALF @ X2 @ X1 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( ( Y0 @ ( cS @ c0 ) @ c0 )
| ( Y1 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y1 @ Y3 @ Y2 )
| ( Y0 @ Y3 @ Y2 ) )
=> ( ( Y1 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) )
| ( Y0 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) ) ) ) ) )
& ( ( Y0 @ c0 @ c0 )
| ( Y1 @ c0 @ c0 ) ) )
=> ( ( Y1 @ X2 @ X1 )
| ( Y0 @ X2 @ X1 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ( Y0 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ ( cS @ ( cS @ Y2 ) ) @ ( cS @ Y1 ) ) ) ) )
& ( Y0 @ c0 @ c0 ) )
=> ( Y0 @ X2 @ X1 ) ) )
& ~ ( cHALF @ X2 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f132]) ).
thf(f132,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( cHALF @ Y0 @ X1 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( ( Y1 @ ( cS @ c0 ) @ c0 )
| ( Y2 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ( Y2 @ Y4 @ Y3 )
| ( Y1 @ Y4 @ Y3 ) )
=> ( ( Y2 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) )
| ( Y1 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) ) ) ) ) )
& ( ( Y1 @ c0 @ c0 )
| ( Y2 @ c0 @ c0 ) ) )
=> ( ( Y2 @ Y0 @ X1 )
| ( Y1 @ Y0 @ X1 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( Y1 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) ) ) ) )
& ( Y1 @ c0 @ c0 ) )
=> ( Y1 @ Y0 @ X1 ) ) )
& ~ ( cHALF @ Y0 @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f92]) ).
thf(f92,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cHALF @ Y0 @ X1 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( ( Y1 @ ( cS @ c0 ) @ c0 )
| ( Y2 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( ( Y2 @ Y4 @ Y3 )
| ( Y1 @ Y4 @ Y3 ) )
=> ( ( Y2 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) )
| ( Y1 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) ) ) ) ) )
& ( ( Y1 @ c0 @ c0 )
| ( Y2 @ c0 @ c0 ) ) )
=> ( ( Y2 @ Y0 @ X1 )
| ( Y1 @ Y0 @ X1 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ( Y1 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ ( cS @ ( cS @ Y3 ) ) @ ( cS @ Y2 ) ) ) ) )
& ( Y1 @ c0 @ c0 ) )
=> ( Y1 @ Y0 @ X1 ) ) )
& ~ ( cHALF @ Y0 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f87]) ).
thf(f87,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cHALF @ Y1 @ Y0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( ( Y2 @ ( cS @ c0 ) @ c0 )
| ( Y3 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ( Y3 @ Y5 @ Y4 )
| ( Y2 @ Y5 @ Y4 ) )
=> ( ( Y3 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) )
| ( Y2 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) ) ) ) ) )
& ( ( Y2 @ c0 @ c0 )
| ( Y3 @ c0 @ c0 ) ) )
=> ( ( Y3 @ Y1 @ Y0 )
| ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( Y2 @ c0 @ c0 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
& ~ ( cHALF @ Y1 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( cHALF @ Y1 @ Y0 )
& ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( !! @ ( $i > $i > $o )
@ ^ [Y3: $i > $i > $o] :
( ( ( ( Y2 @ ( cS @ c0 ) @ c0 )
| ( Y3 @ ( cS @ c0 ) @ c0 ) )
& ( !! @ $i
@ ^ [Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( ( Y3 @ Y5 @ Y4 )
| ( Y2 @ Y5 @ Y4 ) )
=> ( ( Y3 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) )
| ( Y2 @ ( cS @ ( cS @ Y5 ) ) @ ( cS @ Y4 ) ) ) ) ) )
& ( ( Y2 @ c0 @ c0 )
| ( Y3 @ c0 @ c0 ) ) )
=> ( ( Y3 @ Y1 @ Y0 )
| ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
| ( ~ ( !! @ ( $i > $i > $o )
@ ^ [Y2: $i > $i > $o] :
( ( ( Y2 @ ( cS @ c0 ) @ c0 )
& ( !! @ $i
@ ^ [Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ ( cS @ ( cS @ Y4 ) ) @ ( cS @ Y3 ) ) ) ) )
& ( Y2 @ c0 @ c0 ) )
=> ( Y2 @ Y1 @ Y0 ) ) )
& ~ ( cHALF @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f9]) ).
thf(f1329,plain,
( $false
= ( ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK6 ) ) @ ( cS @ ( cS @ ( cS @ sK8 ) ) ) )
| ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ ( cS @ sK8 ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f1306]) ).
thf(f1306,plain,
( $false
= ( ( ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) )
| $false )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK6 ) ) @ ( cS @ ( cS @ ( cS @ sK8 ) ) ) )
| ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ ( cS @ sK8 ) ) ) ) ) ),
inference(superposition,[status(thm)],[f1114,f1179]) ).
thf(f1179,plain,
( $false
= ( cDOUBLE @ sK6 @ sK8 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1178]) ).
thf(f1178,plain,
( ( $false = $true )
| ( $false
= ( cDOUBLE @ sK6 @ sK8 ) ) ),
inference(boolean_simplification,[status(thm)],[f1177]) ).
thf(f1177,plain,
( ( $false
= ( ( ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) )
| ( cDOUBLE @ sK6 @ sK8 ) )
=> $true ) )
| ( $false
= ( cDOUBLE @ sK6 @ sK8 ) ) ),
inference(boolean_simplification,[status(thm)],[f1172]) ).
thf(f1172,plain,
( ( $false
= ( ( ( cDOUBLE @ ( cS @ sK6 ) @ ( cS @ sK8 ) )
| ( cDOUBLE @ sK6 @ sK8 ) )
=> ( ( cDOUBLE @ ( cS @ ( cS @ sK6 ) ) @ ( cS @ ( cS @ ( cS @ sK8 ) ) ) )
| $true ) ) )
| ( $false
= ( cDOUBLE @ sK6 @ sK8 ) ) ),
inference(superposition,[status(thm)],[f1114,f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO337^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n016.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 14:34:36 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.31/0.50 ---- Original DTF file ---
% 0.31/0.50 thf(spec,logic,$$dhol).
% 0.31/0.50 %------------------------------------------------------------------------------
% 0.31/0.50 % File : SYO337^5 : TPTP v9.2.1. Released v4.0.0.
% 0.31/0.50 % Domain : Syntactic
% 0.31/0.50 % Problem : TPS problem from BASIC-HO-THMS
% 0.31/0.50 % Version : Especial.
% 0.31/0.50 % English :
% 0.31/0.50
% 0.31/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.31/0.50 % Source : [Bro09]
% 0.31/0.50 % Names : tps_1150 [Bro09]
% 0.31/0.50
% 0.31/0.50 % Status : Theorem
% 0.31/0.50 % Rating : 0.92 v9.1.0, 0.88 v9.0.0, 1.00 v4.0.0
% 0.31/0.50 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.31/0.50 % Number of atoms : 8 ( 0 equ; 0 cnn)
% 0.31/0.50 % Maximal formula atoms : 8 ( 8 avg)
% 0.31/0.50 % Number of connectives : 87 ( 2 ~; 7 |; 8 &; 63 @)
% 0.31/0.50 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.31/0.50 % Maximal formula depth : 20 ( 20 avg)
% 0.31/0.50 % Number of types : 2 ( 0 usr)
% 0.31/0.50 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.31/0.50 % Number of symbols : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.31/0.50 % Number of variables : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% 0.31/0.50 % SPC : TH0_THM_NEQ_NAR
% 0.31/0.50
% 0.31/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.31/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.31/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.31/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.31/0.50 %------------------------------------------------------------------------------
% 0.31/0.50 thf(cS,type,
% 0.31/0.50 cS: $i > $i ).
% 0.31/0.50
% 0.31/0.50 thf(cDOUBLE,type,
% 0.31/0.50 cDOUBLE: $i > $i > $o ).
% 0.31/0.50
% 0.31/0.50 thf(cHALF,type,
% 0.31/0.50 cHALF: $i > $i > $o ).
% 0.31/0.50
% 0.31/0.50 thf(c0,type,
% 0.31/0.50 c0: $i ).
% 0.31/0.50
% 0.31/0.50 thf(cTHM300A_EXPAND,conjecture,
% 0.31/0.50 ( ( ! [Xu: $i,Xv: $i] :
% 0.31/0.50 ( ( ( cHALF @ Xu @ Xv )
% 0.31/0.50 & ! [Xp: $i > $i > $o,Xq: $i > $i > $o] :
% 0.31/0.50 ( ( ( ( Xp @ c0 @ c0 )
% 0.31/0.50 | ( Xq @ c0 @ c0 ) )
% 0.31/0.50 & ( ( Xp @ ( cS @ c0 ) @ c0 )
% 0.31/0.50 | ( Xq @ ( cS @ c0 ) @ c0 ) )
% 0.31/0.50 & ! [Xx: $i,Xy: $i] :
% 0.31/0.50 ( ( ( Xp @ Xx @ Xy )
% 0.31/0.50 | ( Xq @ Xx @ Xy ) )
% 0.31/0.50 => ( ( Xp @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) )
% 0.31/0.50 | ( Xq @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) ) ) )
% 0.31/0.50 => ( ( Xp @ Xu @ Xv )
% 0.31/0.50 | ( Xq @ Xu @ Xv ) ) ) )
% 0.31/0.50 | ( ~ ( cHALF @ Xu @ Xv )
% 0.31/0.50 & ~ ! [Q: $i > $i > $o] :
% 0.31/0.50 ( ( ( Q @ c0 @ c0 )
% 0.31/0.50 & ( Q @ ( cS @ c0 ) @ c0 )
% 0.31/0.50 & ! [Xx: $i,Xy: $i] :
% 0.31/0.50 ( ( Q @ Xx @ Xy )
% 0.31/0.50 => ( Q @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) ) )
% 0.31/0.50 => ( Q @ Xu @ Xv ) ) ) )
% 0.31/0.50 & ( cDOUBLE @ c0 @ c0 )
% 0.31/0.50 & ! [Xx: $i,Xy: $i] :
% 0.31/0.50 ( ( cDOUBLE @ Xx @ Xy )
% 0.31/0.50 => ( cDOUBLE @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) ) )
% 0.31/0.50 => ! [Xu: $i,Xv: $i] :
% 0.31/0.50 ( ( cHALF @ Xu @ Xv )
% 0.31/0.50 => ( ( cDOUBLE @ Xv @ Xu )
% 0.31/0.50 | ( cDOUBLE @ ( cS @ Xv ) @ ( cS @ Xu ) ) ) ) ) ).
% 0.31/0.50
% 0.31/0.50 %------------------------------------------------------------------------------
% 0.31/0.50 ------------------------
% 1.67/1.44 ---- Embedded in THF ---
% 1.67/1.44 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.67/1.44 %%% Generated on Tue Feb 24 14:34:37 EST 2026
% 1.67/1.44 %%% using '$$dhol' embedding, version 1.3.0.
% 1.67/1.44 %%% Logic specification used:
% 1.67/1.44 %%% thf(spec, logic, $$dhol).
% 1.67/1.44
% 1.67/1.44 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.vXwBbukJja/DTF2DTF6083.p
% See solution above
% 1.67/1.44 ------------------------
% 1.67/1.45 ---- Cleaned THF ---
% 1.67/1.45 thf(cS,type,
% 1.67/1.45 cS: $i > $i ).
% 1.67/1.45
% 1.67/1.45 thf(cDOUBLE,type,
% 1.67/1.45 cDOUBLE: $i > $i > $o ).
% 1.67/1.45
% 1.67/1.45 thf(cHALF,type,
% 1.67/1.45 cHALF: $i > $i > $o ).
% 1.67/1.45
% 1.67/1.45 thf(c0,type,
% 1.67/1.45 c0: $i ).
% 1.67/1.45
% 1.67/1.45 thf(cTHM300A_EXPAND,conjecture,
% 1.67/1.45 ( ( ! [Xu: $i,Xv: $i] :
% 1.67/1.45 ( ( ( cHALF @ Xu @ Xv )
% 1.67/1.45 & ! [Xp: $i > $i > $o,Xq: $i > $i > $o] :
% 1.67/1.45 ( ( ( ( Xp @ c0 @ c0 )
% 1.67/1.45 | ( Xq @ c0 @ c0 ) )
% 1.67/1.45 & ( ( Xp @ ( cS @ c0 ) @ c0 )
% 1.67/1.45 | ( Xq @ ( cS @ c0 ) @ c0 ) )
% 1.67/1.45 & ! [Xx: $i,Xy: $i] :
% 1.67/1.45 ( ( ( Xp @ Xx @ Xy )
% 1.67/1.45 | ( Xq @ Xx @ Xy ) )
% 1.67/1.45 => ( ( Xp @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) )
% 1.67/1.45 | ( Xq @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) ) ) )
% 1.67/1.45 => ( ( Xp @ Xu @ Xv )
% 1.67/1.45 | ( Xq @ Xu @ Xv ) ) ) )
% 1.67/1.45 | ( ~ ( cHALF @ Xu @ Xv )
% 1.67/1.45 & ~ ! [Q: $i > $i > $o] :
% 1.67/1.45 ( ( ( Q @ c0 @ c0 )
% 1.67/1.45 & ( Q @ ( cS @ c0 ) @ c0 )
% 1.67/1.45 & ! [Xx: $i,Xy: $i] :
% 1.67/1.45 ( ( Q @ Xx @ Xy )
% 1.67/1.45 => ( Q @ ( cS @ ( cS @ Xx ) ) @ ( cS @ Xy ) ) ) )
% 1.67/1.45 => ( Q @ Xu @ Xv ) ) ) )
% 1.67/1.45 & ( cDOUBLE @ c0 @ c0 )
% 1.67/1.45 & ! [Xx: $i,Xy: $i] :
% 1.67/1.45 ( ( cDOUBLE @ Xx @ Xy )
% 1.67/1.45 => ( cDOUBLE @ ( cS @ Xx ) @ ( cS @ ( cS @ Xy ) ) ) ) )
% 1.67/1.45 => ! [Xu: $i,Xv: $i] :
% 1.67/1.45 ( ( cHALF @ Xu @ Xv )
% 1.67/1.45 => ( ( cDOUBLE @ Xv @ Xu )
% 1.67/1.45 | ( cDOUBLE @ ( cS @ Xv ) @ ( cS @ Xu ) ) ) ) ) ).
% 1.67/1.45 ------------------------
% 1.67/1.47 % (6183)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/2Mi)
% 1.67/1.47 % (6180)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/183Mi)
% 1.67/1.47 % (6181)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_6083 for (2999ds/4Mi)
% 1.67/1.47 % (6182)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_6083 for (2999ds/27Mi)
% 1.67/1.47 % (6185)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_6083 for (2999ds/275Mi)
% 1.67/1.47 % (6184)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_6083 for (2999ds/2Mi)
% 1.67/1.47 % (6186)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/18Mi)
% 1.67/1.47 % (6183)Instruction limit reached!
% 1.67/1.47 % (6183)------------------------------
% 1.67/1.47 % (6183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.47 % (6183)Termination reason: Unknown
% 1.67/1.47 % (6183)Termination phase: Preprocessing 3
% 1.67/1.47
% 1.67/1.47 % (6183)Memory used [KB]: 1023
% 1.67/1.47 % (6183)Time elapsed: 0.003 s
% 1.67/1.47 % (6183)Instructions burned: 3 (million)
% 1.67/1.47 % (6183)------------------------------
% 1.67/1.47 % (6183)------------------------------
% 1.67/1.47 % (6184)Instruction limit reached!
% 1.67/1.47 % (6184)------------------------------
% 1.67/1.47 % (6184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.47 % (6184)Termination reason: Unknown
% 1.67/1.47 % (6184)Termination phase: Property scanning
% 1.67/1.47
% 1.67/1.47 % (6184)Memory used [KB]: 1023
% 1.67/1.47 % (6184)Time elapsed: 0.003 s
% 1.67/1.47 % (6184)Instructions burned: 3 (million)
% 1.67/1.47 % (6184)------------------------------
% 1.67/1.47 % (6184)------------------------------
% 1.67/1.47 % (6181)Instruction limit reached!
% 1.67/1.47 % (6181)------------------------------
% 1.67/1.47 % (6181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.47 % (6181)Termination reason: Unknown
% 1.67/1.47 % (6181)Termination phase: Saturation
% 1.67/1.47
% 1.67/1.47 % (6181)Memory used [KB]: 5500
% 1.67/1.47 % (6181)Time elapsed: 0.004 s
% 1.67/1.47 % (6181)Instructions burned: 4 (million)
% 1.67/1.47 % (6181)------------------------------
% 1.67/1.47 % (6181)------------------------------
% 1.67/1.48 % (6186)Instruction limit reached!
% 1.67/1.48 % (6186)------------------------------
% 1.67/1.48 % (6186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.48 % (6186)Termination reason: Unknown
% 1.67/1.48 % (6186)Termination phase: Saturation
% 1.67/1.48
% 1.67/1.48 % (6186)Memory used [KB]: 5628
% 1.67/1.48 % (6186)Time elapsed: 0.011 s
% 1.67/1.48 % (6186)Instructions burned: 18 (million)
% 1.67/1.48 % (6186)------------------------------
% 1.67/1.48 % (6186)------------------------------
% 1.67/1.48 % (6187)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/3Mi)
% 1.67/1.48 % (6182)Instruction limit reached!
% 1.67/1.48 % (6182)------------------------------
% 1.67/1.48 % (6182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.48 % (6182)Termination reason: Unknown
% 1.67/1.49 % (6182)Termination phase: Saturation
% 1.67/1.49
% 1.67/1.49 % (6182)Memory used [KB]: 5628
% 1.67/1.49 % (6182)Time elapsed: 0.017 s
% 1.67/1.49 % (6182)Instructions burned: 28 (million)
% 1.67/1.49 % (6182)------------------------------
% 1.67/1.49 % (6182)------------------------------
% 1.67/1.49 % (6187)Instruction limit reached!
% 1.67/1.49 % (6187)------------------------------
% 1.67/1.49 % (6187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.49 % (6187)Termination reason: Unknown
% 1.67/1.49 % (6187)Termination phase: Saturation
% 1.67/1.49
% 1.67/1.49 % (6187)Memory used [KB]: 5500
% 1.67/1.49 % (6187)Time elapsed: 0.003 s
% 1.67/1.49 % (6187)Instructions burned: 4 (million)
% 1.67/1.49 % (6187)------------------------------
% 1.67/1.49 % (6187)------------------------------
% 1.67/1.49 % (6188)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_6083 for (2999ds/37Mi)
% 1.67/1.49 % (6189)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_6083 for (2999ds/15Mi)
% 1.67/1.49 % (6192)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/7Mi)
% 1.67/1.50 % (6190)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_6083 for (2999ds/3Mi)
% 1.67/1.50 % (6189)Instruction limit reached!
% 1.67/1.50 % (6189)------------------------------
% 1.67/1.50 % (6189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.50 % (6189)Termination reason: Unknown
% 1.67/1.50 % (6189)Termination phase: Saturation
% 1.67/1.50
% 1.67/1.50 % (6189)Memory used [KB]: 5628
% 1.67/1.50 % (6189)Time elapsed: 0.010 s
% 1.67/1.50 % (6189)Instructions burned: 16 (million)
% 1.67/1.50 % (6189)------------------------------
% 1.67/1.50 % (6189)------------------------------
% 1.76/1.50 % (6190)Instruction limit reached!
% 1.76/1.50 % (6190)------------------------------
% 1.76/1.50 % (6190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.50 % (6190)Termination reason: Unknown
% 1.76/1.50 % (6190)Termination phase: Property scanning
% 1.76/1.50
% 1.76/1.50 % (6190)Memory used [KB]: 1023
% 1.76/1.50 % (6190)Time elapsed: 0.003 s
% 1.76/1.50 % (6190)Instructions burned: 3 (million)
% 1.76/1.50 % (6190)------------------------------
% 1.76/1.50 % (6190)------------------------------
% 1.76/1.50 % (6192)Instruction limit reached!
% 1.76/1.50 % (6192)------------------------------
% 1.76/1.50 % (6192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.50 % (6192)Termination reason: Unknown
% 1.76/1.50 % (6192)Termination phase: Saturation
% 1.76/1.50
% 1.76/1.50 % (6192)Memory used [KB]: 1023
% 1.76/1.50 % (6192)Time elapsed: 0.003 s
% 1.76/1.50 % (6192)Instructions burned: 7 (million)
% 1.76/1.50 % (6192)------------------------------
% 1.76/1.50 % (6192)------------------------------
% 1.76/1.50 % (6191)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_6083 for (2999ds/1041Mi)
% 1.76/1.51 % (6188)Instruction limit reached!
% 1.76/1.51 % (6188)------------------------------
% 1.76/1.51 % (6188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.51 % (6188)Termination reason: Unknown
% 1.76/1.51 % (6188)Termination phase: Saturation
% 1.76/1.51
% 1.76/1.51 % (6188)Memory used [KB]: 5628
% 1.76/1.51 % (6188)Time elapsed: 0.020 s
% 1.76/1.51 % (6188)Instructions burned: 37 (million)
% 1.76/1.51 % (6188)------------------------------
% 1.76/1.51 % (6188)------------------------------
% 1.76/1.51 % (6194)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_6083 for (2999ds/3Mi)
% 1.76/1.51 % (6194)Instruction limit reached!
% 1.76/1.51 % (6194)------------------------------
% 1.76/1.51 % (6194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.51 % (6194)Termination reason: Unknown
% 1.76/1.51 % (6194)Termination phase: Twee Goal Transformation
% 1.76/1.51
% 1.76/1.51 % (6194)Memory used [KB]: 1023
% 1.76/1.51 % (6194)Time elapsed: 0.002 s
% 1.76/1.51 % (6194)Instructions burned: 4 (million)
% 1.76/1.51 % (6194)------------------------------
% 1.76/1.51 % (6194)------------------------------
% 1.76/1.51 % (6193)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/16Mi)
% 1.76/1.52 % (6195)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_6083 for (2999ds/3Mi)
% 1.76/1.52 % (6197)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/3Mi)
% 1.76/1.52 % (6195)Instruction limit reached!
% 1.76/1.52 % (6195)------------------------------
% 1.76/1.52 % (6195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.52 % (6195)Termination reason: Unknown
% 1.76/1.52 % (6195)Termination phase: Preprocessing 3
% 1.76/1.52
% 1.76/1.52 % (6195)Memory used [KB]: 1023
% 1.76/1.52 % (6195)Time elapsed: 0.003 s
% 1.76/1.52 % (6195)Instructions burned: 3 (million)
% 1.76/1.52 % (6195)------------------------------
% 1.76/1.52 % (6195)------------------------------
% 1.76/1.52 % (6197)Instruction limit reached!
% 1.76/1.52 % (6197)------------------------------
% 1.76/1.52 % (6197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.52 % (6197)Termination reason: Unknown
% 1.76/1.52 % (6197)Termination phase: Saturation
% 1.76/1.52
% 1.76/1.52 % (6197)Memory used [KB]: 5500
% 1.76/1.52 % (6197)Time elapsed: 0.002 s
% 1.76/1.52 % (6197)Instructions burned: 4 (million)
% 1.76/1.52 % (6197)------------------------------
% 1.76/1.52 % (6197)------------------------------
% 1.76/1.52 % (6193)Instruction limit reached!
% 1.76/1.52 % (6193)------------------------------
% 1.76/1.52 % (6193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.52 % (6193)Termination reason: Unknown
% 1.76/1.52 % (6193)Termination phase: Saturation
% 1.76/1.52
% 1.76/1.52 % (6193)Memory used [KB]: 5628
% 1.76/1.52 % (6193)Time elapsed: 0.010 s
% 1.76/1.52 % (6193)Instructions burned: 17 (million)
% 1.76/1.52 % (6193)------------------------------
% 1.76/1.52 % (6193)------------------------------
% 1.76/1.52 % (6196)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/7Mi)
% 1.76/1.53 % (6196)Instruction limit reached!
% 1.76/1.53 % (6196)------------------------------
% 1.76/1.53 % (6196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.53 % (6196)Termination reason: Unknown
% 1.76/1.53 % (6196)Termination phase: Saturation
% 1.76/1.53
% 1.76/1.53 % (6196)Memory used [KB]: 5500
% 1.76/1.53 % (6196)Time elapsed: 0.005 s
% 1.76/1.53 % (6196)Instructions burned: 7 (million)
% 1.76/1.53 % (6196)------------------------------
% 1.76/1.53 % (6196)------------------------------
% 1.76/1.53 % (6199)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/18Mi)
% 1.76/1.53 % (6199)Instruction limit reached!
% 1.76/1.53 % (6199)------------------------------
% 1.76/1.53 % (6199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.53 % (6199)Termination reason: Unknown
% 1.76/1.53 % (6199)Termination phase: Saturation
% 1.76/1.53
% 1.76/1.53 % (6199)Memory used [KB]: 5628
% 1.76/1.53 % (6199)Time elapsed: 0.007 s
% 1.76/1.53 % (6199)Instructions burned: 19 (million)
% 1.76/1.53 % (6199)------------------------------
% 1.76/1.53 % (6199)------------------------------
% 1.76/1.53 % (6198)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/4Mi)
% 1.76/1.54 % (6198)Instruction limit reached!
% 1.76/1.54 % (6198)------------------------------
% 1.76/1.54 % (6198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.54 % (6198)Termination reason: Unknown
% 1.76/1.54 % (6198)Termination phase: Saturation
% 1.76/1.54
% 1.76/1.54 % (6198)Memory used [KB]: 5500
% 1.76/1.54 % (6198)Time elapsed: 0.004 s
% 1.76/1.54 % (6198)Instructions burned: 5 (million)
% 1.76/1.54 % (6198)------------------------------
% 1.76/1.54 % (6198)------------------------------
% 1.76/1.54 % (6200)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/710Mi)
% 1.76/1.54 % (6202)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_6083 for (2999ds/902Mi)
% 1.76/1.55 % (6201)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/6Mi)
% 1.76/1.55 % (6180)Instruction limit reached!
% 1.76/1.55 % (6180)------------------------------
% 1.76/1.55 % (6180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.55 % (6180)Termination reason: Unknown
% 1.76/1.55 % (6180)Termination phase: Saturation
% 1.76/1.55
% 1.76/1.55 % (6180)Memory used [KB]: 7931
% 1.76/1.55 % (6180)Time elapsed: 0.080 s
% 1.76/1.55 % (6180)Instructions burned: 183 (million)
% 1.76/1.55 % (6180)------------------------------
% 1.76/1.55 % (6180)------------------------------
% 1.76/1.55 % (6201)Instruction limit reached!
% 1.76/1.55 % (6201)------------------------------
% 1.76/1.55 % (6201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.55 % (6201)Termination reason: Unknown
% 1.76/1.55 % (6201)Termination phase: Saturation
% 1.76/1.55
% 1.76/1.55 % (6201)Memory used [KB]: 5500
% 1.76/1.55 % (6201)Time elapsed: 0.005 s
% 1.76/1.55 % (6201)Instructions burned: 7 (million)
% 1.76/1.55 % (6201)------------------------------
% 1.76/1.55 % (6201)------------------------------
% 1.76/1.55 % (6203)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_6083 for (2999ds/21Mi)
% 1.76/1.56 % (6203)Instruction limit reached!
% 1.76/1.56 % (6203)------------------------------
% 1.76/1.56 % (6203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.56 % (6203)Termination reason: Unknown
% 1.76/1.56 % (6203)Termination phase: Saturation
% 1.76/1.56
% 1.76/1.56 % (6203)Memory used [KB]: 5628
% 1.76/1.56 % (6203)Time elapsed: 0.014 s
% 1.76/1.56 % (6203)Instructions burned: 22 (million)
% 1.76/1.56 % (6203)------------------------------
% 1.76/1.56 % (6203)------------------------------
% 1.76/1.56 % (6204)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/5Mi)
% 1.76/1.56 % (6205)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_6083 for (2999ds/6Mi)
% 1.76/1.57 % (6204)Instruction limit reached!
% 1.76/1.57 % (6204)------------------------------
% 1.76/1.57 % (6204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.57 % (6204)Termination reason: Unknown
% 1.76/1.57 % (6204)Termination phase: Saturation
% 1.76/1.57
% 1.76/1.57 % (6204)Memory used [KB]: 5500
% 1.76/1.57 % (6204)Time elapsed: 0.004 s
% 1.76/1.57 % (6204)Instructions burned: 5 (million)
% 1.76/1.57 % (6204)------------------------------
% 1.76/1.57 % (6204)------------------------------
% 1.76/1.57 % (6205)Instruction limit reached!
% 1.76/1.57 % (6205)------------------------------
% 1.76/1.57 % (6205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.57 % (6205)Termination reason: Unknown
% 1.76/1.57 % (6205)Termination phase: Saturation
% 1.76/1.57
% 1.76/1.57 % (6205)Memory used [KB]: 5500
% 1.76/1.57 % (6205)Time elapsed: 0.004 s
% 1.76/1.57 % (6205)Instructions burned: 6 (million)
% 1.76/1.57 % (6205)------------------------------
% 1.76/1.57 % (6205)------------------------------
% 1.76/1.58 % (6206)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_6083 for (2999ds/377Mi)
% 1.76/1.58 % (6207)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_6083 for (2999ds/779Mi)
% 1.76/1.58 % (6208)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_6083 for (2999ds/19Mi)
% 1.76/1.59 % (6208)Instruction limit reached!
% 1.76/1.59 % (6208)------------------------------
% 1.76/1.59 % (6208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.59 % (6208)Termination reason: Unknown
% 1.76/1.59 % (6208)Termination phase: Saturation
% 1.76/1.59
% 1.76/1.59 % (6208)Memory used [KB]: 5500
% 1.76/1.59 % (6208)Time elapsed: 0.011 s
% 1.76/1.59 % (6208)Instructions burned: 20 (million)
% 1.76/1.59 % (6208)------------------------------
% 1.76/1.59 % (6208)------------------------------
% 1.76/1.60 % (6185)Instruction limit reached!
% 1.76/1.60 % (6185)------------------------------
% 1.76/1.60 % (6185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.60 % (6185)Termination reason: Unknown
% 1.76/1.60 % (6185)Termination phase: Saturation
% 1.76/1.60
% 1.76/1.60 % (6185)Memory used [KB]: 6012
% 1.76/1.60 % (6185)Time elapsed: 0.132 s
% 1.76/1.60 % (6185)Instructions burned: 277 (million)
% 1.76/1.60 % (6185)------------------------------
% 1.76/1.60 % (6185)------------------------------
% 1.76/1.61 % (6209)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_6083 for (2998ds/879Mi)
% 1.76/1.62 % (6210)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_6083 for (2998ds/17Mi)
% 1.76/1.63 % (6210)Instruction limit reached!
% 1.76/1.63 % (6210)------------------------------
% 1.76/1.63 % (6210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.63 % (6210)Termination reason: Unknown
% 1.76/1.63 % (6210)Termination phase: Saturation
% 1.76/1.63
% 1.76/1.63 % (6210)Memory used [KB]: 5628
% 1.76/1.63 % (6210)Time elapsed: 0.011 s
% 1.76/1.63 % (6210)Instructions burned: 17 (million)
% 1.76/1.63 % (6210)------------------------------
% 1.76/1.63 % (6210)------------------------------
% 1.76/1.65 % (6211)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_6083 for (2998ds/3Mi)
% 1.76/1.65 % (6211)Instruction limit reached!
% 1.76/1.65 % (6211)------------------------------
% 1.76/1.65 % (6211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.65 % (6211)Termination reason: Unknown
% 1.76/1.65 % (6211)Termination phase: Property scanning
% 1.76/1.65
% 1.76/1.65 % (6211)Memory used [KB]: 1023
% 1.76/1.65 % (6211)Time elapsed: 0.004 s
% 1.76/1.65 % (6211)Instructions burned: 4 (million)
% 1.76/1.65 % (6211)------------------------------
% 1.76/1.65 % (6211)------------------------------
% 1.76/1.67 % (6212)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_6083 for (2998ds/30Mi)
% 1.76/1.70 % (6212)Instruction limit reached!
% 1.76/1.70 % (6212)------------------------------
% 1.76/1.70 % (6212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.70 % (6212)Termination reason: Unknown
% 1.76/1.70 % (6212)Termination phase: Saturation
% 1.76/1.70
% 1.76/1.70 % (6212)Memory used [KB]: 5628
% 1.76/1.70 % (6212)Time elapsed: 0.039 s
% 1.76/1.70 % (6212)Instructions burned: 31 (million)
% 1.76/1.70 % (6212)------------------------------
% 1.76/1.70 % (6212)------------------------------
% 1.76/1.71 % (6213)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_6083 for (2997ds/127Mi)
% 1.76/1.76 % (6206)Instruction limit reached!
% 1.76/1.76 % (6206)------------------------------
% 1.76/1.76 % (6206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.76 % (6206)Termination reason: Unknown
% 1.76/1.76 % (6206)Termination phase: Saturation
% 1.76/1.76
% 1.76/1.76 % (6206)Memory used [KB]: 6268
% 1.76/1.76 % (6206)Time elapsed: 0.184 s
% 1.76/1.76 % (6206)Instructions burned: 378 (million)
% 1.76/1.76 % (6206)------------------------------
% 1.76/1.76 % (6206)------------------------------
% 1.76/1.77 % (6213)Instruction limit reached!
% 1.76/1.77 % (6213)------------------------------
% 1.76/1.77 % (6213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.77 % (6213)Termination reason: Unknown
% 1.76/1.77 % (6213)Termination phase: Saturation
% 1.76/1.77
% 1.76/1.77 % (6213)Memory used [KB]: 6012
% 1.76/1.77 % (6213)Time elapsed: 0.084 s
% 1.76/1.77 % (6213)Instructions burned: 128 (million)
% 1.76/1.77 % (6213)------------------------------
% 1.76/1.77 % (6213)------------------------------
% 1.76/1.78 % (6214)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_6083 for (2997ds/100Mi)
% 1.76/1.79 % (6215)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_6083 for (2996ds/3Mi)
% 1.76/1.79 % (6215)Instruction limit reached!
% 1.76/1.79 % (6215)------------------------------
% 1.76/1.79 % (6215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.79 % (6215)Termination reason: Unknown
% 1.76/1.79 % (6215)Termination phase: Property scanning
% 1.76/1.79
% 1.76/1.79 % (6215)Memory used [KB]: 1023
% 1.76/1.79 % (6215)Time elapsed: 0.003 s
% 1.76/1.79 % (6215)Instructions burned: 3 (million)
% 1.76/1.79 % (6215)------------------------------
% 1.76/1.79 % (6215)------------------------------
% 1.76/1.82 % (6202)Instruction limit reached!
% 1.76/1.82 % (6202)------------------------------
% 1.76/1.82 % (6202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.82 % (6202)Termination reason: Unknown
% 1.76/1.82 % (6202)Termination phase: Saturation
% 1.76/1.82
% 1.76/1.82 % (6202)Memory used [KB]: 6908
% 1.76/1.82 % (6202)Time elapsed: 0.285 s
% 1.76/1.82 % (6202)Instructions burned: 905 (million)
% 1.76/1.82 % (6202)------------------------------
% 1.76/1.82 % (6202)------------------------------
% 1.76/1.82 % (6216)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_6083 for (2996ds/20Mi)
% 1.76/1.83 % (6217)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_6083 for (2996ds/86Mi)
% 1.76/1.83 % (6214)Instruction limit reached!
% 1.76/1.83 % (6214)------------------------------
% 1.76/1.83 % (6214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.83 % (6214)Termination reason: Unknown
% 1.76/1.83 % (6214)Termination phase: Saturation
% 1.76/1.83
% 1.76/1.83 % (6214)Memory used [KB]: 5884
% 1.76/1.83 % (6214)Time elapsed: 0.076 s
% 1.76/1.83 % (6214)Instructions burned: 101 (million)
% 1.76/1.83 % (6214)------------------------------
% 1.76/1.83 % (6214)------------------------------
% 1.76/1.83 % (6216)Instruction limit reached!
% 1.76/1.83 % (6216)------------------------------
% 1.76/1.83 % (6216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.83 % (6216)Termination reason: Unknown
% 1.76/1.83 % (6216)Termination phase: Saturation
% 1.76/1.83
% 1.76/1.83 % (6216)Memory used [KB]: 5628
% 1.76/1.83 % (6216)Time elapsed: 0.013 s
% 1.76/1.83 % (6216)Instructions burned: 21 (million)
% 1.76/1.83 % (6216)------------------------------
% 1.76/1.83 % (6216)------------------------------
% 1.76/1.85 % (6218)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_6083 for (2996ds/107Mi)
% 1.76/1.85 % (6219)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_6083 for (2996ds/39Mi)
% 1.76/1.85 % (6217)Instruction limit reached!
% 1.76/1.85 % (6217)------------------------------
% 1.76/1.85 % (6217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.85 % (6217)Termination reason: Unknown
% 1.76/1.85 % (6217)Termination phase: Saturation
% 1.76/1.85
% 1.76/1.85 % (6217)Memory used [KB]: 6012
% 1.76/1.85 % (6217)Time elapsed: 0.028 s
% 1.76/1.85 % (6217)Instructions burned: 89 (million)
% 1.76/1.85 % (6217)------------------------------
% 1.76/1.85 % (6217)------------------------------
% 1.76/1.86 % (6220)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_6083 for (2995ds/448Mi)
% 1.76/1.87 % (6219)Instruction limit reached!
% 1.76/1.87 % (6219)------------------------------
% 1.76/1.87 % (6219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.87 % (6219)Termination reason: Unknown
% 1.76/1.87 % (6219)Termination phase: Saturation
% 1.76/1.87
% 1.76/1.87 % (6219)Memory used [KB]: 5628
% 1.76/1.87 % (6219)Time elapsed: 0.021 s
% 1.76/1.87 % (6219)Instructions burned: 40 (million)
% 1.76/1.87 % (6219)------------------------------
% 1.76/1.87 % (6219)------------------------------
% 1.76/1.88 % (6221)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_6083 for (2995ds/46Mi)
% 1.76/1.88 % (6200)Instruction limit reached!
% 1.76/1.88 % (6200)------------------------------
% 1.76/1.88 % (6200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.88 % (6200)Termination reason: Unknown
% 1.76/1.88 % (6200)Termination phase: Saturation
% 1.76/1.88
% 1.76/1.88 % (6200)Memory used [KB]: 7419
% 1.76/1.88 % (6200)Time elapsed: 0.349 s
% 1.76/1.88 % (6200)Instructions burned: 710 (million)
% 1.76/1.88 % (6200)------------------------------
% 1.76/1.88 % (6200)------------------------------
% 1.76/1.90 % (6218)Instruction limit reached!
% 1.76/1.90 % (6218)------------------------------
% 1.76/1.90 % (6218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.90 % (6218)Termination reason: Unknown
% 1.76/1.90 % (6218)Termination phase: Saturation
% 1.76/1.90
% 1.76/1.90 % (6218)Memory used [KB]: 5884
% 1.76/1.90 % (6218)Time elapsed: 0.057 s
% 1.76/1.90 % (6218)Instructions burned: 108 (million)
% 1.76/1.90 % (6218)------------------------------
% 1.76/1.90 % (6218)------------------------------
% 1.76/1.90 % (6222)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_6083 for (2995ds/98Mi)
% 1.76/1.91 % (6221)Instruction limit reached!
% 1.76/1.91 % (6221)------------------------------
% 1.76/1.91 % (6221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.91 % (6221)Termination reason: Unknown
% 1.76/1.91 % (6221)Termination phase: Saturation
% 1.76/1.91
% 1.76/1.91 % (6221)Memory used [KB]: 5756
% 1.76/1.91 % (6221)Time elapsed: 0.025 s
% 1.76/1.91 % (6221)Instructions burned: 47 (million)
% 1.76/1.91 % (6221)------------------------------
% 1.76/1.91 % (6221)------------------------------
% 1.76/1.92 % (6223)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_6083 for (2995ds/507Mi)
% 1.76/1.92 % (6224)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_6083 for (2995ds/149Mi)
% 1.76/1.93 % (6222)Instruction limit reached!
% 1.76/1.93 % (6222)------------------------------
% 1.76/1.93 % (6222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.93 % (6222)Termination reason: Unknown
% 1.76/1.93 % (6222)Termination phase: Saturation
% 1.76/1.93
% 1.76/1.93 % (6222)Memory used [KB]: 1407
% 1.76/1.93 % (6222)Time elapsed: 0.032 s
% 1.76/1.93 % (6222)Instructions burned: 99 (million)
% 1.76/1.93 % (6222)------------------------------
% 1.76/1.93 % (6222)------------------------------
% 1.76/1.94 % (6191)Instruction limit reached!
% 1.76/1.94 % (6191)------------------------------
% 1.76/1.94 % (6191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.94 % (6191)Termination reason: Unknown
% 1.76/1.94 % (6191)Termination phase: Saturation
% 1.76/1.94
% 1.76/1.94 % (6191)Memory used [KB]: 6780
% 1.76/1.94 % (6191)Time elapsed: 0.436 s
% 1.76/1.94 % (6191)Instructions burned: 1042 (million)
% 1.76/1.94 % (6191)------------------------------
% 1.76/1.94 % (6191)------------------------------
% 1.76/1.94 % (6225)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_6083 for (2995ds/39Mi)
% 1.76/1.94 % (6207)Instruction limit reached!
% 1.76/1.94 % (6207)------------------------------
% 1.76/1.94 % (6207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.94 % (6207)Termination reason: Unknown
% 1.76/1.94 % (6207)Termination phase: Saturation
% 1.76/1.94
% 1.76/1.94 % (6207)Memory used [KB]: 6396
% 1.76/1.94 % (6207)Time elapsed: 0.363 s
% 1.76/1.94 % (6207)Instructions burned: 780 (million)
% 1.76/1.94 % (6207)------------------------------
% 1.76/1.94 % (6207)------------------------------
% 1.76/1.95 % (6226)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_6083 for (2995ds/6Mi)
% 1.76/1.95 % (6225)Instruction limit reached!
% 1.76/1.95 % (6225)------------------------------
% 1.76/1.95 % (6225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.95 % (6225)Termination reason: Unknown
% 1.76/1.95 % (6225)Termination phase: Saturation
% 1.76/1.95
% 1.76/1.95 % (6225)Memory used [KB]: 5628
% 1.76/1.95 % (6225)Time elapsed: 0.014 s
% 1.76/1.95 % (6225)Instructions burned: 42 (million)
% 1.76/1.95 % (6225)------------------------------
% 1.76/1.95 % (6225)------------------------------
% 1.76/1.96 % (6226)Instruction limit reached!
% 1.76/1.96 % (6226)------------------------------
% 1.76/1.96 % (6226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.96 % (6226)Termination reason: Unknown
% 1.76/1.96 % (6226)Termination phase: Saturation
% 1.76/1.96
% 1.76/1.96 % (6226)Memory used [KB]: 9978
% 1.76/1.96 % (6226)Time elapsed: 0.005 s
% 1.76/1.96 % (6226)Instructions burned: 6 (million)
% 1.76/1.96 % (6226)------------------------------
% 1.76/1.96 % (6226)------------------------------
% 1.76/1.96 % (6227)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_6083 for (2995ds/1087Mi)
% 1.76/1.97 % (6228)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_6083 for (2995ds/47Mi)
% 1.76/1.97 % (6229)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_6083 for (2995ds/44Mi)
% 1.76/1.99 % (6229)Instruction limit reached!
% 1.76/1.99 % (6229)------------------------------
% 1.76/1.99 % (6229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.99 % (6229)Termination reason: Unknown
% 1.76/1.99 % (6229)Termination phase: Saturation
% 1.76/1.99
% 1.76/1.99 % (6229)Memory used [KB]: 1151
% 1.76/1.99 % (6229)Time elapsed: 0.023 s
% 1.76/1.99 % (6229)Instructions burned: 44 (million)
% 1.76/1.99 % (6229)------------------------------
% 1.76/1.99 % (6229)------------------------------
% 1.76/1.99 % (6224)Instruction limit reached!
% 1.76/1.99 % (6224)------------------------------
% 1.76/1.99 % (6224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.99 % (6224)Termination reason: Unknown
% 1.76/1.99 % (6224)Termination phase: Saturation
% 1.76/2.00
% 1.76/2.00 % (6224)Memory used [KB]: 5884
% 1.76/2.00 % (6224)Time elapsed: 0.074 s
% 1.76/2.00 % (6224)Instructions burned: 149 (million)
% 1.76/2.00 % (6224)------------------------------
% 1.76/2.00 % (6224)------------------------------
% 1.76/2.00 % (6228)Instruction limit reached!
% 1.76/2.00 % (6228)------------------------------
% 1.76/2.00 % (6228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/2.00 % (6228)Termination reason: Unknown
% 1.76/2.00 % (6228)Termination phase: Saturation
% 1.76/2.00
% 1.76/2.00 % (6228)Memory used [KB]: 5756
% 1.76/2.00 % (6228)Time elapsed: 0.026 s
% 1.76/2.00 % (6228)Instructions burned: 47 (million)
% 1.76/2.00 % (6228)------------------------------
% 1.76/2.00 % (6228)------------------------------
% 1.76/2.01 % (6209)Instruction limit reached!
% 1.76/2.01 % (6209)------------------------------
% 1.76/2.01 % (6209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/2.01 % (6209)Termination reason: Unknown
% 1.76/2.01 % (6209)Termination phase: Saturation
% 1.76/2.01
% 1.76/2.01 % (6209)Memory used [KB]: 7164
% 1.76/2.01 % (6209)Time elapsed: 0.399 s
% 1.76/2.01 % (6209)Instructions burned: 879 (million)
% 1.76/2.01 % (6209)------------------------------
% 1.76/2.01 % (6209)------------------------------
% 1.76/2.01 % (6230)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_6083 for (2994ds/432Mi)
% 1.76/2.01 % (6231)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_6083 for (2994ds/62Mi)
% 1.76/2.01 % (6232)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_6083 for (2994ds/31Mi)
% 1.76/2.02 % (6233)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_6083 for (2994ds/96Mi)
% 5.50/2.03 % (6232)Instruction limit reached!
% 5.50/2.03 % (6232)------------------------------
% 5.50/2.03 % (6232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.50/2.03 % (6232)Termination reason: Unknown
% 5.50/2.03 % (6232)Termination phase: Saturation
% 5.50/2.03
% 5.50/2.03 % (6232)Memory used [KB]: 5628
% 5.50/2.03 % (6232)Time elapsed: 0.019 s
% 5.50/2.03 % (6232)Instructions burned: 33 (million)
% 5.50/2.03 % (6232)------------------------------
% 5.50/2.03 % (6232)------------------------------
% 5.50/2.04 % (6231)Instruction limit reached!
% 5.50/2.04 % (6231)------------------------------
% 5.50/2.04 % (6231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.50/2.04 % (6231)Termination reason: Unknown
% 5.50/2.04 % (6231)Termination phase: Saturation
% 5.50/2.04
% 5.50/2.04 % (6231)Memory used [KB]: 5884
% 5.50/2.04 % (6231)Time elapsed: 0.031 s
% 5.50/2.04 % (6231)Instructions burned: 62 (million)
% 5.50/2.04 % (6231)------------------------------
% 5.50/2.04 % (6231)------------------------------
% 5.50/2.05 % (6220)Instruction limit reached!
% 5.50/2.05 % (6220)------------------------------
% 5.50/2.05 % (6220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.50/2.05 % (6220)Termination reason: Unknown
% 5.50/2.05 % (6220)Termination phase: Saturation
% 5.50/2.05
% 5.50/2.05 % (6220)Memory used [KB]: 6396
% 5.50/2.05 % (6220)Time elapsed: 0.182 s
% 5.50/2.05 % (6220)Instructions burned: 449 (million)
% 5.50/2.05 % (6220)------------------------------
% 5.50/2.05 % (6220)------------------------------
% 5.50/2.05 % (6234)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_6083 for (2994ds/453Mi)
% 5.50/2.05 % (6233)Instruction limit reached!
% 5.50/2.05 % (6233)------------------------------
% 5.50/2.05 % (6233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.50/2.05 % (6233)Termination reason: Unknown
% 5.50/2.05 % (6233)Termination phase: Saturation
% 5.50/2.05
% 5.50/2.05 % (6233)Memory used [KB]: 5756
% 5.50/2.05 % (6233)Time elapsed: 0.031 s
% 5.50/2.05 % (6233)Instructions burned: 97 (million)
% 5.50/2.05 % (6233)------------------------------
% 5.50/2.05 % (6233)------------------------------
% 5.50/2.06 % (6236)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_6083 for (2994ds/83Mi)
% 5.50/2.06 % (6235)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_6083 for (2994ds/71Mi)
% 5.50/2.06 % (6237)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_6083 for (2994ds/11Mi)
% 5.50/2.07 % (6237)Instruction limit reached!
% 5.50/2.07 % (6237)------------------------------
% 5.50/2.07 % (6237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.50/2.07 % (6237)Termination reason: Unknown
% 5.50/2.07 % (6237)Termination phase: Saturation
% 5.50/2.07
% 5.50/2.07 % (6237)Memory used [KB]: 5500
% 5.50/2.07 % (6237)Time elapsed: 0.007 s
% 5.50/2.07 % (6237)Instructions burned: 11 (million)
% 5.50/2.07 % (6237)------------------------------
% 5.50/2.07 % (6237)------------------------------
% 5.50/2.08 % (6238)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_6083 for (2993ds/41Mi)
% 5.50/2.09 % (6235)Instruction limit reached!
% 5.50/2.09 % (6235)------------------------------
% 5.50/2.09 % (6235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.50/2.09 % (6235)Termination reason: Unknown
% 5.50/2.09 % (6235)Termination phase: Saturation
% 5.50/2.09
% 5.50/2.09 % (6235)Memory used [KB]: 5884
% 5.50/2.09 % (6235)Time elapsed: 0.038 s
% 5.50/2.09 % (6235)Instructions burned: 72 (million)
% 5.50/2.09 % (6235)------------------------------
% 5.50/2.09 % (6235)------------------------------
% 5.50/2.09 % (6236)Instruction limit reached!
% 5.50/2.09 % (6236)------------------------------
% 5.50/2.09 % (6236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.50/2.09 % (6236)Termination reason: Unknown
% 5.50/2.09 % (6236)Termination phase: Saturation
% 5.50/2.09
% 5.50/2.09 % (6236)Memory used [KB]: 5884
% 5.50/2.09 % (6236)Time elapsed: 0.040 s
% 5.50/2.09 % (6236)Instructions burned: 84 (million)
% 5.50/2.09 % (6236)------------------------------
% 5.50/2.09 % (6236)------------------------------
% 5.50/2.10 % (6238)Instruction limit reached!
% 5.50/2.10 % (6238)------------------------------
% 5.50/2.10 % (6238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.50/2.10 % (6238)Termination reason: Unknown
% 5.50/2.10 % (6238)Termination phase: Saturation
% 5.50/2.10
% 5.50/2.10 % (6238)Memory used [KB]: 5628
% 5.50/2.10 % (6238)Time elapsed: 0.022 s
% 5.50/2.10 % (6238)Instructions burned: 42 (million)
% 5.50/2.10 % (6238)------------------------------
% 5.50/2.10 % (6238)------------------------------
% 5.50/2.11 % (6239)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_6083 for (2993ds/6Mi)
% 5.50/2.11 % (6240)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_6083 for (2993ds/150Mi)
% 5.50/2.11 % (6239)Instruction limit reached!
% 5.50/2.11 % (6239)------------------------------
% 5.50/2.11 % (6239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.50/2.11 % (6239)Termination reason: Unknown
% 5.50/2.11 % (6239)Termination phase: Saturation
% 5.50/2.11
% 5.50/2.11 % (6239)Memory used [KB]: 5500
% 5.50/2.11 % (6239)Time elapsed: 0.005 s
% 5.50/2.11 % (6239)Instructions burned: 7 (million)
% 5.50/2.11 % (6239)------------------------------
% 5.50/2.11 % (6239)------------------------------
% 6.14/2.12 % (6241)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_6083 for (2993ds/343Mi)
% 6.14/2.13 % (6242)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_6083 for (2993ds/109Mi)
% 6.14/2.15 % (6223)Instruction limit reached!
% 6.14/2.15 % (6223)------------------------------
% 6.14/2.15 % (6223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.14/2.15 % (6223)Termination reason: Unknown
% 6.14/2.15 % (6223)Termination phase: Saturation
% 6.14/2.15
% 6.14/2.15 % (6223)Memory used [KB]: 6396
% 6.14/2.15 % (6223)Time elapsed: 0.238 s
% 6.14/2.15 % (6223)Instructions burned: 508 (million)
% 6.14/2.15 % (6223)------------------------------
% 6.14/2.15 % (6223)------------------------------
% 6.14/2.16 % (6243)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_6083 for (2993ds/253Mi)
% 6.14/2.18 % (6240)Instruction limit reached!
% 6.14/2.18 % (6240)------------------------------
% 6.14/2.18 % (6240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.14/2.18 % (6240)Termination reason: Unknown
% 6.14/2.18 % (6240)Termination phase: Saturation
% 6.14/2.18
% 6.14/2.18 % (6240)Memory used [KB]: 5884
% 6.14/2.18 % (6240)Time elapsed: 0.075 s
% 6.14/2.18 % (6240)Instructions burned: 152 (million)
% 6.14/2.18 % (6240)------------------------------
% 6.14/2.18 % (6240)------------------------------
% 6.14/2.18 % (6242)Instruction limit reached!
% 6.14/2.18 % (6242)------------------------------
% 6.14/2.18 % (6242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.14/2.18 % (6242)Termination reason: Unknown
% 6.14/2.18 % (6242)Termination phase: Saturation
% 6.14/2.18
% 6.14/2.18 % (6242)Memory used [KB]: 6268
% 6.14/2.18 % (6242)Time elapsed: 0.057 s
% 6.14/2.18 % (6242)Instructions burned: 110 (million)
% 6.14/2.18 % (6242)------------------------------
% 6.14/2.18 % (6242)------------------------------
% 6.50/2.20 % (6245)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_6083 for (2992ds/614Mi)
% 6.50/2.20 % (6244)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_6083 for (2992ds/140Mi)
% 6.50/2.21 % (6230)Instruction limit reached!
% 6.50/2.21 % (6230)------------------------------
% 6.50/2.21 % (6230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.21 % (6230)Termination reason: Unknown
% 6.50/2.21 % (6230)Termination phase: Saturation
% 6.50/2.21
% 6.50/2.21 % (6230)Memory used [KB]: 3582
% 6.50/2.21 % (6230)Time elapsed: 0.201 s
% 6.50/2.21 % (6230)Instructions burned: 434 (million)
% 6.50/2.21 % (6230)------------------------------
% 6.50/2.21 % (6230)------------------------------
% 6.50/2.22 % (6234)Instruction limit reached!
% 6.50/2.22 % (6234)------------------------------
% 6.50/2.22 % (6234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.22 % (6234)Termination reason: Unknown
% 6.50/2.22 % (6234)Termination phase: Saturation
% 6.50/2.22
% 6.50/2.22 % (6234)Memory used [KB]: 6140
% 6.50/2.22 % (6234)Time elapsed: 0.180 s
% 6.50/2.22 % (6234)Instructions burned: 454 (million)
% 6.50/2.22 % (6234)------------------------------
% 6.50/2.22 % (6234)------------------------------
% 6.50/2.23 % (6246)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_6083 for (2992ds/202Mi)
% 6.50/2.24 % (6247)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_6083 for (2992ds/339Mi)
% 6.50/2.25 % (6243)Instruction limit reached!
% 6.50/2.25 % (6243)------------------------------
% 6.50/2.25 % (6243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.25 % (6243)Termination reason: Unknown
% 6.50/2.25 % (6243)Termination phase: Saturation
% 6.50/2.25
% 6.50/2.25 % (6243)Memory used [KB]: 6140
% 6.50/2.25 % (6243)Time elapsed: 0.091 s
% 6.50/2.25 % (6243)Instructions burned: 256 (million)
% 6.50/2.25 % (6243)------------------------------
% 6.50/2.25 % (6243)------------------------------
% 6.50/2.26 % (6248)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_6083 for (2992ds/283Mi)
% 6.50/2.27 % (6244)Instruction limit reached!
% 6.50/2.27 % (6244)------------------------------
% 6.50/2.27 % (6244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.27 % (6244)Termination reason: Unknown
% 6.50/2.27 % (6244)Termination phase: Saturation
% 6.50/2.27
% 6.50/2.27 % (6244)Memory used [KB]: 6140
% 6.50/2.27 % (6244)Time elapsed: 0.074 s
% 6.50/2.27 % (6244)Instructions burned: 141 (million)
% 6.50/2.27 % (6244)------------------------------
% 6.50/2.27 % (6244)------------------------------
% 6.50/2.28 % (6241)Instruction limit reached!
% 6.50/2.28 % (6241)------------------------------
% 6.50/2.28 % (6241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.28 % (6241)Termination reason: Unknown
% 6.50/2.28 % (6241)Termination phase: Saturation
% 6.50/2.28
% 6.50/2.28 % (6241)Memory used [KB]: 6396
% 6.50/2.28 % (6241)Time elapsed: 0.160 s
% 6.50/2.28 % (6241)Instructions burned: 343 (million)
% 6.50/2.28 % (6241)------------------------------
% 6.50/2.28 % (6241)------------------------------
% 6.50/2.29 % (6250)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_6083 for (2991ds/298Mi)
% 7.19/2.31 % (6249)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_6083 for (2991ds/134Mi)
% 7.19/2.32 % (6246)Instruction limit reached!
% 7.19/2.32 % (6246)------------------------------
% 7.19/2.32 % (6246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.19/2.32 % (6246)Termination reason: Unknown
% 7.19/2.32 % (6246)Termination phase: Saturation
% 7.19/2.32
% 7.19/2.32 % (6246)Memory used [KB]: 6268
% 7.19/2.32 % (6246)Time elapsed: 0.095 s
% 7.19/2.32 % (6246)Instructions burned: 203 (million)
% 7.19/2.32 % (6246)------------------------------
% 7.19/2.32 % (6246)------------------------------
% 7.19/2.34 % (6251)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_6083 for (2991ds/192Mi)
% 7.19/2.35 % (6249)Instruction limit reached!
% 7.19/2.35 % (6249)------------------------------
% 7.19/2.35 % (6249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.19/2.35 % (6249)Termination reason: Unknown
% 7.19/2.35 % (6249)Termination phase: Saturation
% 7.19/2.35
% 7.19/2.35 % (6249)Memory used [KB]: 6140
% 7.19/2.35 % (6249)Time elapsed: 0.086 s
% 7.19/2.35 % (6249)Instructions burned: 135 (million)
% 7.19/2.35 % (6249)------------------------------
% 7.19/2.35 % (6249)------------------------------
% 7.19/2.36 % (6252)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_6083 for (2990ds/258Mi)
% 7.19/2.37 % (6248)Instruction limit reached!
% 7.19/2.37 % (6248)------------------------------
% 7.19/2.37 % (6248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.19/2.37 % (6248)Termination reason: Unknown
% 7.19/2.37 % (6248)Termination phase: Saturation
% 7.19/2.37
% 7.19/2.37 % (6248)Memory used [KB]: 6780
% 7.19/2.37 % (6248)Time elapsed: 0.127 s
% 7.19/2.37 % (6248)Instructions burned: 284 (million)
% 7.19/2.37 % (6248)------------------------------
% 7.19/2.37 % (6248)------------------------------
% 7.56/2.40 % (6253)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_6083 for (2990ds/90Mi)
% 7.56/2.41 % (6247)Instruction limit reached!
% 7.56/2.41 % (6247)------------------------------
% 7.56/2.41 % (6247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.41 % (6247)Termination reason: Unknown
% 7.56/2.41 % (6247)Termination phase: Saturation
% 7.56/2.41
% 7.56/2.41 % (6247)Memory used [KB]: 6524
% 7.56/2.41 % (6247)Time elapsed: 0.167 s
% 7.56/2.41 % (6247)Instructions burned: 339 (million)
% 7.56/2.41 % (6247)------------------------------
% 7.56/2.41 % (6247)------------------------------
% 7.56/2.42 % (6254)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_6083 for (2990ds/231Mi)
% 7.56/2.43 % (6251)Instruction limit reached!
% 7.56/2.43 % (6251)------------------------------
% 7.56/2.43 % (6251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.43 % (6251)Termination reason: Unknown
% 7.56/2.43 % (6251)Termination phase: Saturation
% 7.56/2.43
% 7.56/2.43 % (6251)Memory used [KB]: 6396
% 7.56/2.43 % (6251)Time elapsed: 0.093 s
% 7.56/2.43 % (6251)Instructions burned: 193 (million)
% 7.56/2.43 % (6251)------------------------------
% 7.56/2.43 % (6251)------------------------------
% 7.56/2.43 % (6250)Instruction limit reached!
% 7.56/2.43 % (6250)------------------------------
% 7.56/2.43 % (6250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.43 % (6250)Termination reason: Unknown
% 7.56/2.43 % (6250)Termination phase: Saturation
% 7.56/2.43
% 7.56/2.43 % (6250)Memory used [KB]: 6268
% 7.56/2.43 % (6250)Time elapsed: 0.141 s
% 7.56/2.43 % (6250)Instructions burned: 298 (million)
% 7.56/2.43 % (6250)------------------------------
% 7.56/2.43 % (6250)------------------------------
% 7.56/2.44 % (6252)Instruction limit reached!
% 7.56/2.44 % (6252)------------------------------
% 7.56/2.44 % (6252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.44 % (6252)Termination reason: Unknown
% 7.56/2.44 % (6252)Termination phase: Saturation
% 7.56/2.44
% 7.56/2.44 % (6252)Memory used [KB]: 5884
% 7.56/2.44 % (6252)Time elapsed: 0.077 s
% 7.56/2.44 % (6252)Instructions burned: 258 (million)
% 7.56/2.44 % (6252)------------------------------
% 7.56/2.44 % (6252)------------------------------
% 7.56/2.44 % (6253)Instruction limit reached!
% 7.56/2.44 % (6253)------------------------------
% 7.56/2.44 % (6253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.44 % (6253)Termination reason: Unknown
% 7.56/2.44 % (6253)Termination phase: Saturation
% 7.56/2.44
% 7.56/2.44 % (6253)Memory used [KB]: 5884
% 7.56/2.44 % (6253)Time elapsed: 0.048 s
% 7.56/2.44 % (6253)Instructions burned: 91 (million)
% 7.56/2.44 % (6253)------------------------------
% 7.56/2.44 % (6253)------------------------------
% 7.56/2.45 % (6255)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_6083 for (2990ds/458Mi)
% 7.56/2.45 % (6256)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_6083 for (2990ds/31Mi)
% 7.56/2.45 % (6257)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_6083 for (2990ds/297Mi)
% 7.56/2.47 % (6256)Instruction limit reached!
% 7.56/2.47 % (6256)------------------------------
% 7.56/2.47 % (6256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.47 % (6256)Termination reason: Unknown
% 7.56/2.47 % (6256)Termination phase: Saturation
% 7.56/2.47
% 7.56/2.47 % (6256)Memory used [KB]: 5628
% 7.56/2.47 % (6256)Time elapsed: 0.019 s
% 7.56/2.47 % (6256)Instructions burned: 32 (million)
% 7.56/2.47 % (6256)------------------------------
% 7.56/2.47 % (6256)------------------------------
% 7.56/2.47 % (6258)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_6083 for (2990ds/987Mi)
% 7.56/2.48 % (6227)Instruction limit reached!
% 7.56/2.48 % (6227)------------------------------
% 7.56/2.48 % (6227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.48 % (6227)Termination reason: Unknown
% 7.56/2.48 % (6227)Termination phase: Saturation
% 7.56/2.48
% 7.56/2.48 % (6227)Memory used [KB]: 7803
% 7.56/2.48 % (6227)Time elapsed: 0.532 s
% 7.56/2.48 % (6227)Instructions burned: 1087 (million)
% 7.56/2.48 % (6227)------------------------------
% 7.56/2.48 % (6227)------------------------------
% 7.56/2.48 % (6259)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_6083 for (2989ds/182Mi)
% 8.28/2.50 % (6260)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_6083 for (2989ds/182Mi)
% 8.28/2.50 % (6245)Instruction limit reached!
% 8.28/2.50 % (6245)------------------------------
% 8.28/2.50 % (6245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.28/2.50 % (6245)Termination reason: Unknown
% 8.28/2.50 % (6245)Termination phase: Saturation
% 8.28/2.50
% 8.28/2.50 % (6245)Memory used [KB]: 7291
% 8.28/2.50 % (6245)Time elapsed: 0.306 s
% 8.28/2.50 % (6245)Instructions burned: 614 (million)
% 8.28/2.50 % (6245)------------------------------
% 8.28/2.50 % (6245)------------------------------
% 8.28/2.53 % (6261)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_6083 for (2989ds/154Mi)
% 8.28/2.55 % (6254)Instruction limit reached!
% 8.28/2.55 % (6254)------------------------------
% 8.28/2.55 % (6254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.28/2.55 % (6254)Termination reason: Unknown
% 8.28/2.55 % (6254)Termination phase: Saturation
% 8.28/2.55
% 8.28/2.55 % (6254)Memory used [KB]: 6396
% 8.28/2.55 % (6254)Time elapsed: 0.129 s
% 8.28/2.55 % (6254)Instructions burned: 232 (million)
% 8.28/2.55 % (6254)------------------------------
% 8.28/2.55 % (6254)------------------------------
% 8.28/2.57 % (6262)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_6083 for (2989ds/79Mi)
% 8.28/2.57 % (6259)Instruction limit reached!
% 8.28/2.57 % (6259)------------------------------
% 8.28/2.57 % (6259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.28/2.57 % (6259)Termination reason: Unknown
% 8.28/2.57 % (6259)Termination phase: Saturation
% 8.28/2.57
% 8.28/2.57 % (6259)Memory used [KB]: 5884
% 8.28/2.57 % (6259)Time elapsed: 0.088 s
% 8.28/2.57 % (6259)Instructions burned: 183 (million)
% 8.28/2.57 % (6259)------------------------------
% 8.28/2.57 % (6259)------------------------------
% 8.28/2.59 % (6260)Instruction limit reached!
% 8.28/2.59 % (6260)------------------------------
% 8.28/2.59 % (6260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.28/2.59 % (6260)Termination reason: Unknown
% 8.28/2.59 % (6260)Termination phase: Saturation
% 8.28/2.59
% 8.28/2.59 % (6260)Memory used [KB]: 6012
% 8.28/2.59 % (6260)Time elapsed: 0.091 s
% 8.28/2.59 % (6260)Instructions burned: 183 (million)
% 8.28/2.59 % (6260)------------------------------
% 8.28/2.59 % (6260)------------------------------
% 8.28/2.59 % (6263)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_6083 for (2988ds/216Mi)
% 8.28/2.59 % (6257)Instruction limit reached!
% 8.28/2.59 % (6257)------------------------------
% 8.28/2.59 % (6257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.28/2.59 % (6257)Termination reason: Unknown
% 8.28/2.59 % (6257)Termination phase: Saturation
% 8.28/2.59
% 8.28/2.59 % (6257)Memory used [KB]: 6396
% 8.28/2.59 % (6257)Time elapsed: 0.142 s
% 8.28/2.59 % (6257)Instructions burned: 298 (million)
% 8.28/2.59 % (6257)------------------------------
% 8.28/2.59 % (6257)------------------------------
% 9.10/2.60 % (6261)Instruction limit reached!
% 9.10/2.60 % (6261)------------------------------
% 9.10/2.60 % (6261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.60 % (6261)Termination reason: Unknown
% 9.10/2.60 % (6261)Termination phase: Saturation
% 9.10/2.60
% 9.10/2.60 % (6261)Memory used [KB]: 6140
% 9.10/2.60 % (6261)Time elapsed: 0.096 s
% 9.10/2.60 % (6261)Instructions burned: 154 (million)
% 9.10/2.60 % (6261)------------------------------
% 9.10/2.60 % (6261)------------------------------
% 9.10/2.60 % (6264)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_6083 for (2988ds/114Mi)
% 9.10/2.61 % (6262)Instruction limit reached!
% 9.10/2.61 % (6262)------------------------------
% 9.10/2.61 % (6262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.61 % (6262)Termination reason: Unknown
% 9.10/2.61 % (6262)Termination phase: Saturation
% 9.10/2.61
% 9.10/2.61 % (6262)Memory used [KB]: 5756
% 9.10/2.61 % (6262)Time elapsed: 0.039 s
% 9.10/2.61 % (6262)Instructions burned: 79 (million)
% 9.10/2.61 % (6262)------------------------------
% 9.10/2.61 % (6262)------------------------------
% 9.10/2.61 % (6265)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_6083 for (2988ds/922Mi)
% 9.10/2.61 % (6266)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_6083 for (2988ds/182Mi)
% 9.10/2.62 % (6267)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_6083 for (2988ds/164Mi)
% 9.10/2.63 % (6255)Instruction limit reached!
% 9.10/2.63 % (6255)------------------------------
% 9.10/2.63 % (6255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.63 % (6255)Termination reason: Unknown
% 9.10/2.63 % (6255)Termination phase: Saturation
% 9.10/2.63
% 9.10/2.63 % (6255)Memory used [KB]: 7036
% 9.10/2.63 % (6255)Time elapsed: 0.189 s
% 9.10/2.63 % (6255)Instructions burned: 460 (million)
% 9.10/2.63 % (6255)------------------------------
% 9.10/2.63 % (6255)------------------------------
% 9.10/2.64 % (6268)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_6083 for (2988ds/50Mi)
% 9.10/2.65 % (6264)Instruction limit reached!
% 9.10/2.65 % (6264)------------------------------
% 9.10/2.65 % (6264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.65 % (6264)Termination reason: Unknown
% 9.10/2.65 % (6264)Termination phase: Saturation
% 9.10/2.65
% 9.10/2.65 % (6264)Memory used [KB]: 6652
% 9.10/2.65 % (6264)Time elapsed: 0.054 s
% 9.10/2.65 % (6264)Instructions burned: 115 (million)
% 9.10/2.65 % (6264)------------------------------
% 9.10/2.65 % (6264)------------------------------
% 9.10/2.66 % (6268)Instruction limit reached!
% 9.10/2.66 % (6268)------------------------------
% 9.10/2.66 % (6268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.66 % (6268)Termination reason: Unknown
% 9.10/2.66 % (6268)Termination phase: Saturation
% 9.10/2.66
% 9.10/2.66 % (6268)Memory used [KB]: 10234
% 9.10/2.66 % (6268)Time elapsed: 0.017 s
% 9.10/2.66 % (6268)Instructions burned: 51 (million)
% 9.10/2.66 % (6268)------------------------------
% 9.10/2.66 % (6268)------------------------------
% 9.10/2.66 % (6266)Instruction limit reached!
% 9.10/2.66 % (6266)------------------------------
% 9.10/2.66 % (6266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.66 % (6266)Termination reason: Unknown
% 9.10/2.66 % (6266)Termination phase: Saturation
% 9.10/2.66
% 9.10/2.66 % (6266)Memory used [KB]: 5884
% 9.10/2.66 % (6266)Time elapsed: 0.053 s
% 9.10/2.66 % (6266)Instructions burned: 182 (million)
% 9.10/2.66 % (6266)------------------------------
% 9.10/2.66 % (6266)------------------------------
% 9.10/2.67 % (6270)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_6083 for (2988ds/1021Mi)
% 9.10/2.67 % (6269)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_6083 for (2988ds/368Mi)
% 9.10/2.67 % (6271)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_6083 for (2987ds/267Mi)
% 9.10/2.69 % (6263)Instruction limit reached!
% 9.10/2.69 % (6263)------------------------------
% 9.10/2.69 % (6263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.69 % (6263)Termination reason: Unknown
% 9.10/2.69 % (6263)Termination phase: Saturation
% 9.10/2.69
% 9.10/2.69 % (6263)Memory used [KB]: 5756
% 9.10/2.69 % (6263)Time elapsed: 0.104 s
% 9.10/2.69 % (6263)Instructions burned: 216 (million)
% 9.10/2.69 % (6263)------------------------------
% 9.10/2.69 % (6263)------------------------------
% 9.63/2.70 % (6267)Instruction limit reached!
% 9.63/2.70 % (6267)------------------------------
% 9.63/2.70 % (6267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.63/2.70 % (6267)Termination reason: Unknown
% 9.63/2.70 % (6267)Termination phase: Saturation
% 9.63/2.70
% 9.63/2.70 % (6267)Memory used [KB]: 1407
% 9.63/2.70 % (6267)Time elapsed: 0.081 s
% 9.63/2.70 % (6267)Instructions burned: 164 (million)
% 9.63/2.70 % (6267)------------------------------
% 9.63/2.70 % (6267)------------------------------
% 9.63/2.71 % (6272)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_6083 for (2987ds/204Mi)
% 9.63/2.72 % (6273)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_6083 for (2987ds/26Mi)
% 9.63/2.74 % (6273)Instruction limit reached!
% 9.63/2.74 % (6273)------------------------------
% 9.63/2.74 % (6273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.63/2.74 % (6273)Termination reason: Unknown
% 9.63/2.74 % (6273)Termination phase: Saturation
% 9.63/2.74
% 9.63/2.74 % (6273)Memory used [KB]: 5500
% 9.63/2.74 % (6273)Time elapsed: 0.015 s
% 9.63/2.74 % (6273)Instructions burned: 27 (million)
% 9.63/2.74 % (6273)------------------------------
% 9.63/2.74 % (6273)------------------------------
% 9.63/2.75 % (6271)Instruction limit reached!
% 9.63/2.75 % (6271)------------------------------
% 9.63/2.75 % (6271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.63/2.75 % (6271)Termination reason: Unknown
% 9.63/2.75 % (6271)Termination phase: Saturation
% 9.63/2.75
% 9.63/2.75 % (6271)Memory used [KB]: 6140
% 9.63/2.75 % (6271)Time elapsed: 0.075 s
% 9.63/2.75 % (6271)Instructions burned: 268 (million)
% 9.63/2.75 % (6271)------------------------------
% 9.63/2.75 % (6271)------------------------------
% 9.63/2.76 % (6274)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_6083 for (2987ds/53Mi)
% 9.63/2.77 % (6275)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_6083 for (2987ds/4436Mi)
% 9.63/2.77 % (6274)Instruction limit reached!
% 9.63/2.77 % (6274)------------------------------
% 9.63/2.77 % (6274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.63/2.77 % (6274)Termination reason: Unknown
% 9.63/2.77 % (6274)Termination phase: Saturation
% 9.63/2.77
% 9.63/2.77 % (6274)Memory used [KB]: 5628
% 9.63/2.77 % (6274)Time elapsed: 0.019 s
% 9.63/2.77 % (6274)Instructions burned: 54 (million)
% 9.63/2.77 % (6274)------------------------------
% 9.63/2.77 % (6274)------------------------------
% 9.63/2.78 % (6276)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_6083 for (2986ds/1539Mi)
% 9.63/2.79 % (6272)Instruction limit reached!
% 9.63/2.79 % (6272)------------------------------
% 9.63/2.79 % (6272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.63/2.79 % (6272)Termination reason: Unknown
% 9.63/2.79 % (6272)Termination phase: Saturation
% 9.63/2.79
% 9.63/2.79 % (6272)Memory used [KB]: 6012
% 9.63/2.79 % (6272)Time elapsed: 0.089 s
% 9.63/2.79 % (6272)Instructions burned: 204 (million)
% 9.63/2.79 % (6272)------------------------------
% 9.63/2.79 % (6272)------------------------------
% 9.95/2.80 % (6277)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_6083 for (2986ds/408Mi)
% 9.95/2.85 % (6269)Instruction limit reached!
% 9.95/2.85 % (6269)------------------------------
% 9.95/2.85 % (6269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.95/2.85 % (6269)Termination reason: Unknown
% 9.95/2.85 % (6269)Termination phase: Saturation
% 9.95/2.85
% 9.95/2.85 % (6269)Memory used [KB]: 6908
% 9.95/2.85 % (6269)Time elapsed: 0.185 s
% 9.95/2.85 % (6269)Instructions burned: 369 (million)
% 9.95/2.85 % (6269)------------------------------
% 9.95/2.85 % (6269)------------------------------
% 9.95/2.87 % (6278)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_6083 for (2986ds/5205Mi)
% 9.95/2.89 % (6258)Instruction limit reached!
% 9.95/2.89 % (6258)------------------------------
% 9.95/2.89 % (6258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.95/2.89 % (6258)Termination reason: Unknown
% 9.95/2.89 % (6258)Termination phase: Saturation
% 9.95/2.89
% 9.95/2.89 % (6258)Memory used [KB]: 6780
% 9.95/2.89 % (6258)Time elapsed: 0.446 s
% 9.95/2.89 % (6258)Instructions burned: 989 (million)
% 9.95/2.89 % (6258)------------------------------
% 9.95/2.89 % (6258)------------------------------
% 10.57/2.91 % (6279)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_6083 for (2985ds/1913Mi)
% 10.57/2.95 % (6277)Instruction limit reached!
% 10.57/2.95 % (6277)------------------------------
% 10.57/2.95 % (6277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.57/2.95 % (6277)Termination reason: Unknown
% 10.57/2.95 % (6277)Termination phase: Saturation
% 10.57/2.95
% 10.57/2.95 % (6277)Memory used [KB]: 6780
% 10.57/2.95 % (6277)Time elapsed: 0.155 s
% 10.57/2.95 % (6277)Instructions burned: 409 (million)
% 10.57/2.95 % (6277)------------------------------
% 10.57/2.95 % (6277)------------------------------
% 10.57/2.97 % (6280)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_6083 for (2985ds/4350Mi)
% 10.57/2.98 % (6265)Instruction limit reached!
% 10.57/2.98 % (6265)------------------------------
% 10.57/2.98 % (6265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.57/2.98 % (6265)Termination reason: Unknown
% 10.57/2.98 % (6265)Termination phase: Saturation
% 10.57/2.98
% 10.57/2.98 % (6265)Memory used [KB]: 7419
% 10.57/2.98 % (6265)Time elapsed: 0.372 s
% 10.57/2.98 % (6265)Instructions burned: 925 (million)
% 10.57/2.98 % (6265)------------------------------
% 10.57/2.98 % (6265)------------------------------
% 10.57/2.99 % (6281)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_6083 for (2984ds/68Mi)
% 12.25/3.03 % (6281)Instruction limit reached!
% 12.25/3.03 % (6281)------------------------------
% 12.25/3.03 % (6281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.25/3.03 % (6281)Termination reason: Unknown
% 12.25/3.03 % (6281)Termination phase: Saturation
% 12.25/3.03
% 12.25/3.03 % (6281)Memory used [KB]: 6012
% 12.25/3.03 % (6281)Time elapsed: 0.060 s
% 12.25/3.03 % (6281)Instructions burned: 68 (million)
% 12.25/3.03 % (6281)------------------------------
% 12.25/3.03 % (6281)------------------------------
% 12.25/3.04 % (6282)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_6083 for (2984ds/358Mi)
% 12.93/3.14 % (6270)Instruction limit reached!
% 12.93/3.14 % (6270)------------------------------
% 12.93/3.14 % (6270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.93/3.14 % (6270)Termination reason: Unknown
% 12.93/3.14 % (6270)Termination phase: Saturation
% 12.93/3.14
% 12.93/3.14 % (6270)Memory used [KB]: 6908
% 12.93/3.14 % (6270)Time elapsed: 0.473 s
% 12.93/3.14 % (6270)Instructions burned: 1021 (million)
% 12.93/3.14 % (6270)------------------------------
% 12.93/3.14 % (6270)------------------------------
% 12.93/3.15 % (6282)Instruction limit reached!
% 12.93/3.15 % (6282)------------------------------
% 12.93/3.15 % (6282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.93/3.15 % (6282)Termination reason: Unknown
% 12.93/3.15 % (6282)Termination phase: Saturation
% 12.93/3.15
% 12.93/3.15 % (6282)Memory used [KB]: 6012
% 12.93/3.15 % (6282)Time elapsed: 0.113 s
% 12.93/3.15 % (6282)Instructions burned: 360 (million)
% 12.93/3.15 % (6282)------------------------------
% 12.93/3.15 % (6282)------------------------------
% 12.93/3.15 % (6283)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_6083 for (2983ds/31Mi)
% 12.93/3.16 % (6284)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_6083 for (2983ds/279Mi)
% 12.93/3.17 % (6283)Instruction limit reached!
% 12.93/3.17 % (6283)------------------------------
% 12.93/3.17 % (6283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.93/3.17 % (6283)Termination reason: Unknown
% 12.93/3.17 % (6283)Termination phase: Saturation
% 12.93/3.17
% 12.93/3.17 % (6283)Memory used [KB]: 5628
% 12.93/3.17 % (6283)Time elapsed: 0.019 s
% 12.93/3.17 % (6283)Instructions burned: 31 (million)
% 12.93/3.17 % (6283)------------------------------
% 12.93/3.17 % (6283)------------------------------
% 12.93/3.19 % (6285)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_6083 for (2982ds/258Mi)
% 13.48/3.25 % (6284)Instruction limit reached!
% 13.48/3.25 % (6284)------------------------------
% 13.48/3.25 % (6284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.48/3.25 % (6284)Termination reason: Unknown
% 13.48/3.25 % (6284)Termination phase: Saturation
% 13.48/3.25
% 13.48/3.25 % (6284)Memory used [KB]: 6012
% 13.48/3.25 % (6284)Time elapsed: 0.092 s
% 13.48/3.25 % (6284)Instructions burned: 279 (million)
% 13.48/3.25 % (6284)------------------------------
% 13.48/3.25 % (6284)------------------------------
% 13.48/3.26 % (6286)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_6083 for (2982ds/26Mi)
% 13.48/3.27 % (6286)Instruction limit reached!
% 13.48/3.27 % (6286)------------------------------
% 13.48/3.27 % (6286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.48/3.27 % (6286)Termination reason: Unknown
% 13.48/3.27 % (6286)Termination phase: Saturation
% 13.48/3.27
% 13.48/3.27 % (6286)Memory used [KB]: 5500
% 13.48/3.27 % (6286)Time elapsed: 0.009 s
% 13.48/3.27 % (6286)Instructions burned: 28 (million)
% 13.48/3.27 % (6286)------------------------------
% 13.48/3.27 % (6286)------------------------------
% 13.48/3.28 % (6287)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_6083 for (2981ds/995Mi)
% 13.48/3.28 % (6276)Instruction limit reached!
% 13.48/3.28 % (6276)------------------------------
% 13.48/3.28 % (6276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.48/3.28 % (6276)Termination reason: Unknown
% 13.48/3.28 % (6276)Termination phase: Saturation
% 13.48/3.28
% 13.48/3.29 % (6276)Memory used [KB]: 7803
% 13.48/3.29 % (6276)Time elapsed: 0.502 s
% 13.48/3.29 % (6276)Instructions burned: 1539 (million)
% 13.48/3.29 % (6276)------------------------------
% 13.48/3.29 % (6276)------------------------------
% 14.08/3.30 % (6288)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_6083 for (2981ds/373Mi)
% 14.08/3.32 % (6285)Instruction limit reached!
% 14.08/3.32 % (6285)------------------------------
% 14.08/3.32 % (6285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.08/3.32 % (6285)Termination reason: Unknown
% 14.08/3.32 % (6285)Termination phase: Saturation
% 14.08/3.32
% 14.08/3.32 % (6285)Memory used [KB]: 6012
% 14.08/3.32 % (6285)Time elapsed: 0.131 s
% 14.08/3.32 % (6285)Instructions burned: 259 (million)
% 14.08/3.32 % (6285)------------------------------
% 14.08/3.32 % (6285)------------------------------
% 14.08/3.34 % (6289)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_6083 for (2981ds/253Mi)
% 14.60/3.42 % (6289)Instruction limit reached!
% 14.60/3.42 % (6289)------------------------------
% 14.60/3.42 % (6289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.60/3.42 % (6289)Termination reason: Unknown
% 14.60/3.42 % (6289)Termination phase: Saturation
% 14.60/3.42
% 14.60/3.42 % (6289)Memory used [KB]: 6268
% 14.60/3.42 % (6289)Time elapsed: 0.100 s
% 14.60/3.42 % (6289)Instructions burned: 254 (million)
% 14.60/3.42 % (6289)------------------------------
% 14.60/3.42 % (6289)------------------------------
% 14.60/3.44 % (6290)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_6083 for (2980ds/832Mi)
% 14.60/3.48 % (6288)Instruction limit reached!
% 14.60/3.48 % (6288)------------------------------
% 14.60/3.48 % (6288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.60/3.48 % (6288)Termination reason: Unknown
% 14.60/3.48 % (6288)Termination phase: Saturation
% 14.60/3.48
% 14.60/3.48 % (6288)Memory used [KB]: 6780
% 14.60/3.48 % (6288)Time elapsed: 0.182 s
% 14.60/3.48 % (6288)Instructions burned: 375 (million)
% 14.60/3.48 % (6288)------------------------------
% 14.60/3.48 % (6288)------------------------------
% 15.29/3.50 % (6291)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_6083 for (2979ds/668Mi)
% 15.29/3.59 % (6287)Instruction limit reached!
% 15.29/3.59 % (6287)------------------------------
% 15.29/3.59 % (6287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.29/3.59 % (6287)Termination reason: Unknown
% 15.29/3.59 % (6287)Termination phase: Saturation
% 15.29/3.59
% 15.29/3.59 % (6287)Memory used [KB]: 6268
% 15.29/3.59 % (6287)Time elapsed: 0.311 s
% 15.29/3.59 % (6287)Instructions burned: 996 (million)
% 15.29/3.59 % (6287)------------------------------
% 15.29/3.59 % (6287)------------------------------
% 16.02/3.60 % (6292)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_6083 for (2978ds/40Mi)
% 16.02/3.62 % (6292)Instruction limit reached!
% 16.02/3.62 % (6292)------------------------------
% 16.02/3.62 % (6292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.02/3.62 % (6292)Termination reason: Unknown
% 16.02/3.62 % (6292)Termination phase: Saturation
% 16.02/3.62
% 16.02/3.62 % (6292)Memory used [KB]: 5628
% 16.02/3.62 % (6292)Time elapsed: 0.022 s
% 16.02/3.62 % (6292)Instructions burned: 40 (million)
% 16.02/3.62 % (6292)------------------------------
% 16.02/3.62 % (6292)------------------------------
% 16.02/3.64 % (6293)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_6083 for (2978ds/294Mi)
% 16.02/3.68 % (6279)Instruction limit reached!
% 16.02/3.68 % (6279)------------------------------
% 16.02/3.68 % (6279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.02/3.68 % (6279)Termination reason: Unknown
% 16.02/3.68 % (6279)Termination phase: Saturation
% 16.02/3.68
% 16.02/3.68 % (6279)Memory used [KB]: 2686
% 16.02/3.68 % (6279)Time elapsed: 0.774 s
% 16.02/3.68 % (6279)Instructions burned: 1914 (million)
% 16.02/3.68 % (6279)------------------------------
% 16.02/3.68 % (6279)------------------------------
% 16.44/3.70 % (6294)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_6083 for (2977ds/187Mi)
% 16.44/3.71 % (6291)Instruction limit reached!
% 16.44/3.71 % (6291)------------------------------
% 16.44/3.71 % (6291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.44/3.71 % (6291)Termination reason: Unknown
% 16.44/3.71 % (6291)Termination phase: Saturation
% 16.44/3.71
% 16.44/3.71 % (6291)Memory used [KB]: 11513
% 16.44/3.71 % (6291)Time elapsed: 0.215 s
% 16.44/3.71 % (6291)Instructions burned: 668 (million)
% 16.44/3.71 % (6291)------------------------------
% 16.44/3.71 % (6291)------------------------------
% 16.44/3.72 % (6295)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_6083 for (2977ds/371Mi)
% 16.44/3.78 % (6293)Instruction limit reached!
% 16.44/3.78 % (6293)------------------------------
% 16.44/3.78 % (6293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.44/3.78 % (6293)Termination reason: Unknown
% 16.44/3.78 % (6293)Termination phase: Saturation
% 16.44/3.78
% 16.44/3.78 % (6293)Memory used [KB]: 6140
% 16.44/3.78 % (6293)Time elapsed: 0.138 s
% 16.44/3.78 % (6293)Instructions burned: 294 (million)
% 16.44/3.78 % (6293)------------------------------
% 16.44/3.78 % (6293)------------------------------
% 16.44/3.78 % (6290)Instruction limit reached!
% 16.44/3.78 % (6290)------------------------------
% 16.44/3.78 % (6290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.44/3.78 % (6290)Termination reason: Unknown
% 16.44/3.78 % (6290)Termination phase: Saturation
% 16.44/3.78
% 16.44/3.78 % (6290)Memory used [KB]: 6268
% 16.44/3.78 % (6290)Time elapsed: 0.341 s
% 16.44/3.78 % (6290)Instructions burned: 834 (million)
% 16.44/3.78 % (6290)------------------------------
% 16.44/3.78 % (6290)------------------------------
% 16.44/3.79 % (6297)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_6083 for (2976ds/70Mi)
% 16.44/3.79 % (6296)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_6083 for (2976ds/1827Mi)
% 16.44/3.79 % (6294)Instruction limit reached!
% 16.44/3.79 % (6294)------------------------------
% 16.44/3.79 % (6294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.44/3.79 % (6294)Termination reason: Unknown
% 16.44/3.79 % (6294)Termination phase: Saturation
% 16.44/3.79
% 16.44/3.79 % (6294)Memory used [KB]: 6524
% 16.44/3.79 % (6294)Time elapsed: 0.095 s
% 16.44/3.79 % (6294)Instructions burned: 187 (million)
% 16.44/3.79 % (6294)------------------------------
% 16.44/3.79 % (6294)------------------------------
% 17.58/3.81 % (6297)Instruction limit reached!
% 17.58/3.81 % (6297)------------------------------
% 17.58/3.81 % (6297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.58/3.81 % (6297)Termination reason: Unknown
% 17.58/3.81 % (6297)Termination phase: Saturation
% 17.58/3.81
% 17.58/3.81 % (6297)Memory used [KB]: 1535
% 17.58/3.81 % (6297)Time elapsed: 0.021 s
% 17.58/3.81 % (6297)Instructions burned: 72 (million)
% 17.58/3.81 % (6297)------------------------------
% 17.58/3.81 % (6297)------------------------------
% 17.58/3.81 % (6298)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_6083 for (2976ds/316Mi)
% 17.58/3.82 % (6299)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_6083 for (2976ds/932Mi)
% 17.58/3.84 % (6295)Instruction limit reached!
% 17.58/3.84 % (6295)------------------------------
% 17.58/3.84 % (6295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.58/3.84 % (6295)Termination reason: Unknown
% 17.58/3.84 % (6295)Termination phase: Saturation
% 17.58/3.84
% 17.58/3.84 % (6295)Memory used [KB]: 6524
% 17.58/3.84 % (6295)Time elapsed: 0.119 s
% 17.58/3.84 % (6295)Instructions burned: 373 (million)
% 17.58/3.84 % (6295)------------------------------
% 17.58/3.84 % (6295)------------------------------
% 17.58/3.85 % (6300)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_6083 for (2976ds/4714Mi)
% 18.05/3.96 % (6298)Instruction limit reached!
% 18.05/3.96 % (6298)------------------------------
% 18.05/3.96 % (6298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.05/3.96 % (6298)Termination reason: Unknown
% 18.05/3.96 % (6298)Termination phase: Saturation
% 18.05/3.96
% 18.05/3.96 % (6298)Memory used [KB]: 6652
% 18.05/3.96 % (6298)Time elapsed: 0.149 s
% 18.05/3.96 % (6298)Instructions burned: 317 (million)
% 18.05/3.96 % (6298)------------------------------
% 18.05/3.96 % (6298)------------------------------
% 18.05/3.97 % (6301)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_6083 for (2975ds/8250Mi)
% 19.24/4.08 % (6299)Instruction limit reached!
% 19.24/4.08 % (6299)------------------------------
% 19.24/4.08 % (6299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.24/4.08 % (6299)Termination reason: Unknown
% 19.24/4.08 % (6299)Termination phase: Saturation
% 19.24/4.08
% 19.24/4.08 % (6299)Memory used [KB]: 8827
% 19.24/4.08 % (6299)Time elapsed: 0.266 s
% 19.24/4.08 % (6299)Instructions burned: 934 (million)
% 19.24/4.08 % (6299)------------------------------
% 19.24/4.08 % (6299)------------------------------
% 19.24/4.09 % (6302)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_6083 for (2973ds/770Mi)
% 20.96/4.30 % (6302)Instruction limit reached!
% 20.96/4.30 % (6302)------------------------------
% 20.96/4.30 % (6302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.96/4.30 % (6302)Termination reason: Unknown
% 20.96/4.30 % (6302)Termination phase: Saturation
% 20.96/4.30
% 20.96/4.30 % (6302)Memory used [KB]: 6780
% 20.96/4.30 % (6302)Time elapsed: 0.214 s
% 20.96/4.30 % (6302)Instructions burned: 770 (million)
% 20.96/4.30 % (6302)------------------------------
% 20.96/4.30 % (6302)------------------------------
% 20.96/4.31 % (6303)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_6083 for (2971ds/794Mi)
% 22.39/4.59 % (6303)Instruction limit reached!
% 22.39/4.59 % (6303)------------------------------
% 22.39/4.59 % (6303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.39/4.59 % (6303)Termination reason: Unknown
% 22.39/4.59 % (6303)Termination phase: Saturation
% 22.39/4.59
% 22.39/4.59 % (6303)Memory used [KB]: 3070
% 22.39/4.59 % (6303)Time elapsed: 0.280 s
% 22.39/4.59 % (6303)Instructions burned: 795 (million)
% 22.39/4.59 % (6303)------------------------------
% 22.39/4.59 % (6303)------------------------------
% 23.28/4.61 % (6304)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_6083 for (2968ds/464Mi)
% 23.28/4.61 % (6296)Instruction limit reached!
% 23.28/4.61 % (6296)------------------------------
% 23.28/4.61 % (6296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.28/4.61 % (6296)Termination reason: Unknown
% 23.28/4.61 % (6296)Termination phase: Saturation
% 23.28/4.61
% 23.28/4.61 % (6296)Memory used [KB]: 7675
% 23.28/4.61 % (6296)Time elapsed: 0.812 s
% 23.28/4.61 % (6296)Instructions burned: 1828 (million)
% 23.28/4.61 % (6296)------------------------------
% 23.28/4.61 % (6296)------------------------------
% 23.28/4.62 % (6305)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_6083 for (2968ds/1376Mi)
% 23.28/4.68 % (6280)Instruction limit reached!
% 23.28/4.68 % (6280)------------------------------
% 23.28/4.68 % (6280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.28/4.68 % (6280)Termination reason: Unknown
% 23.28/4.68 % (6280)Termination phase: Saturation
% 23.28/4.68
% 23.28/4.68 % (6280)Memory used [KB]: 12025
% 23.28/4.68 % (6280)Time elapsed: 1.713 s
% 23.28/4.68 % (6280)Instructions burned: 4351 (million)
% 23.28/4.68 % (6280)------------------------------
% 23.28/4.68 % (6280)------------------------------
% 23.28/4.69 % (6306)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_6083 for (2967ds/906Mi)
% 24.20/4.82 % (6278)Instruction limit reached!
% 24.20/4.82 % (6278)------------------------------
% 24.20/4.82 % (6278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.20/4.82 % (6278)Termination reason: Unknown
% 24.20/4.82 % (6278)Termination phase: Saturation
% 24.20/4.82
% 24.20/4.82 % (6278)Memory used [KB]: 8315
% 24.20/4.82 % (6278)Time elapsed: 1.948 s
% 24.20/4.82 % (6278)Instructions burned: 5206 (million)
% 24.20/4.82 % (6278)------------------------------
% 24.20/4.82 % (6278)------------------------------
% 24.20/4.84 % (6307)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_6083 for (2966ds/434Mi)
% 24.20/4.84 % (6304)Instruction limit reached!
% 24.20/4.84 % (6304)------------------------------
% 24.20/4.84 % (6304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.20/4.84 % (6304)Termination reason: Unknown
% 24.20/4.84 % (6304)Termination phase: Saturation
% 24.20/4.84
% 24.20/4.84 % (6304)Memory used [KB]: 6652
% 24.20/4.84 % (6304)Time elapsed: 0.235 s
% 24.20/4.84 % (6304)Instructions burned: 464 (million)
% 24.20/4.84 % (6304)------------------------------
% 24.20/4.84 % (6304)------------------------------
% 24.20/4.86 % (6308)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_6083 for (2966ds/865Mi)
% 24.20/4.87 % (6275)Instruction limit reached!
% 24.20/4.87 % (6275)------------------------------
% 24.20/4.87 % (6275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.20/4.87 % (6275)Termination reason: Unknown
% 24.20/4.87 % (6275)Termination phase: Saturation
% 24.20/4.87
% 24.20/4.87 % (6275)Memory used [KB]: 11129
% 24.20/4.87 % (6275)Time elapsed: 2.105 s
% 24.20/4.87 % (6275)Instructions burned: 4437 (million)
% 24.20/4.87 % (6275)------------------------------
% 24.20/4.87 % (6275)------------------------------
% 24.20/4.89 % (6309)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_6083 for (2965ds/593Mi)
% 24.76/4.95 % (6306)Instruction limit reached!
% 24.76/4.95 % (6306)------------------------------
% 24.76/4.95 % (6306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.76/4.95 % (6306)Termination reason: Unknown
% 24.76/4.95 % (6306)Termination phase: Saturation
% 24.76/4.95
% 24.76/4.95 % (6306)Memory used [KB]: 7547
% 24.76/4.95 % (6306)Time elapsed: 0.262 s
% 24.76/4.95 % (6306)Instructions burned: 908 (million)
% 24.76/4.95 % (6306)------------------------------
% 24.76/4.95 % (6306)------------------------------
% 24.76/4.96 % (6310)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_6083 for (2965ds/443Mi)
% 24.76/4.96 % (6305)First to succeed.
% 24.76/4.97 % (6305)Refutation found. Thanks to Tanya!
% 24.76/4.97 % SZS status Theorem for DTF2THF_6083
% 24.76/4.97 % SZS output start Proof for DTF2THF_6083
% 24.76/4.97 thf(func_def_0, type, cS: $i > $i).
% 24.76/4.97 thf(func_def_1, type, cDOUBLE: $i > $i > $o).
% 24.76/4.97 thf(func_def_2, type, cHALF: $i > $i > $o).
% 24.76/4.97 thf(func_def_18, type, ph1: !>[X0: $tType]:(X0)).
% 24.76/4.97 thf(f1359,plain,(
% 24.76/4.97 $false),
% 24.76/4.97 inference(trivial_inequality_removal,[status(thm)],[f1358])).
% 24.76/4.97 thf(f1358,plain,(
% 24.76/4.97 ($false = $true)),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f1357])).
% 24.76/4.97 thf(f1357,plain,(
% 24.76/4.97 ($false = ($false => ((cDOUBLE @ (cS @ (cS @ sK6)) @ (cS @ (cS @ (cS @ sK8)))) | (cDOUBLE @ (cS @ sK6) @ (cS @ (cS @ sK8))))))),
% 24.76/4.97 inference(forward_demodulation,[status(thm)],[f1329,f1176])).
% 24.76/4.97 thf(f1176,plain,(
% 24.76/4.97 ($false = (cDOUBLE @ (cS @ sK6) @ (cS @ sK8)))),
% 24.76/4.97 inference(trivial_inequality_removal,[status(thm)],[f1175])).
% 24.76/4.97 thf(f1175,plain,(
% 24.76/4.97 ($false = $true) | ($false = (cDOUBLE @ (cS @ sK6) @ (cS @ sK8)))),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f1174])).
% 24.76/4.97 thf(f1174,plain,(
% 24.76/4.97 ($false = (cDOUBLE @ (cS @ sK6) @ (cS @ sK8))) | ($false = (((cDOUBLE @ (cS @ sK6) @ (cS @ sK8)) | (cDOUBLE @ sK6 @ sK8)) => $true))),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f1173])).
% 24.76/4.97 thf(f1173,plain,(
% 24.76/4.97 ($false = (cDOUBLE @ (cS @ sK6) @ (cS @ sK8))) | ($false = (((cDOUBLE @ (cS @ sK6) @ (cS @ sK8)) | (cDOUBLE @ sK6 @ sK8)) => ($true | (cDOUBLE @ (cS @ sK6) @ (cS @ (cS @ sK8))))))),
% 24.76/4.97 inference(superposition,[status(thm)],[f1114,f125])).
% 24.76/4.97 thf(f125,plain,(
% 24.76/4.97 ( ! [X2 : $i,X1 : $i] : (($true = (cDOUBLE @ (cS @ X2) @ (cS @ (cS @ X1)))) | ($false = (cDOUBLE @ X2 @ X1))) )),
% 24.76/4.97 inference(binary_proxy_clausification,[status(thm)],[f124])).
% 24.76/4.97 thf(f124,plain,(
% 24.76/4.97 ( ! [X2 : $i,X1 : $i] : (($true = ((cDOUBLE @ X2 @ X1) => (cDOUBLE @ (cS @ X2) @ (cS @ (cS @ X1)))))) )),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f123])).
% 24.76/4.97 thf(f123,plain,(
% 24.76/4.97 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((cDOUBLE @ Y0 @ X1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ X1))))) @ X2) = $true)) )),
% 24.76/4.97 inference(pi_clausification,[status(thm)],[f107])).
% 24.76/4.97 thf(f107,plain,(
% 24.76/4.97 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((cDOUBLE @ Y0 @ X1) => (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ X1)))))) = $true)) )),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f101])).
% 24.76/4.97 thf(f101,plain,(
% 24.76/4.97 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0))))))) @ X1))) )),
% 24.76/4.97 inference(pi_clausification,[status(thm)],[f54])).
% 24.76/4.97 thf(f54,plain,(
% 24.76/4.97 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))) = $true)),
% 24.76/4.97 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 24.76/4.97 thf(f40,plain,(
% 24.76/4.97 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))) & (cDOUBLE @ c0 @ c0)) = $true)),
% 24.76/4.97 inference(binary_proxy_clausification,[status(thm)],[f9])).
% 24.76/4.97 thf(f9,plain,(
% 24.76/4.97 ($true = (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))) & (cDOUBLE @ c0 @ c0)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cHALF @ Y1 @ Y0) & (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((((Y2 @ (cS @ c0) @ c0) | (Y3 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y3 @ Y5 @ Y4) | (Y2 @ Y5 @ Y4)) => ((Y3 @ (cS @ (cS @ Y5)) @ (cS @ Y4)) | (Y2 @ (cS @ (cS @ Y5)) @ (cS @ Y4))))))))) & ((Y2 @ c0 @ c0) | (Y3 @ c0 @ c0))) => ((Y3 @ Y1 @ Y0) | (Y2 @ Y1 @ Y0)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => (Y2 @ (cS @ (cS @ Y4)) @ (cS @ Y3)))))))) & (Y2 @ c0 @ c0)) => (Y2 @ Y1 @ Y0))))) & (~ (cHALF @ Y1 @ Y0))))))))))),
% 24.76/4.97 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 24.76/4.97 thf(f7,plain,(
% 24.76/4.97 ($false = ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))) & (cDOUBLE @ c0 @ c0)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cHALF @ Y1 @ Y0) & (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((((Y2 @ (cS @ c0) @ c0) | (Y3 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y3 @ Y5 @ Y4) | (Y2 @ Y5 @ Y4)) => ((Y3 @ (cS @ (cS @ Y5)) @ (cS @ Y4)) | (Y2 @ (cS @ (cS @ Y5)) @ (cS @ Y4))))))))) & ((Y2 @ c0 @ c0) | (Y3 @ c0 @ c0))) => ((Y3 @ Y1 @ Y0) | (Y2 @ Y1 @ Y0)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => (Y2 @ (cS @ (cS @ Y4)) @ (cS @ Y3)))))))) & (Y2 @ c0 @ c0)) => (Y2 @ Y1 @ Y0))))) & (~ (cHALF @ Y1 @ Y0))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)))))))))),
% 24.76/4.97 inference(not_proxy_clausification,[status(thm)],[f6])).
% 24.76/4.97 thf(f6,plain,(
% 24.76/4.97 ($true = (~ ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))) & (cDOUBLE @ c0 @ c0)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cHALF @ Y1 @ Y0) & (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((((Y2 @ (cS @ c0) @ c0) | (Y3 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y3 @ Y5 @ Y4) | (Y2 @ Y5 @ Y4)) => ((Y3 @ (cS @ (cS @ Y5)) @ (cS @ Y4)) | (Y2 @ (cS @ (cS @ Y5)) @ (cS @ Y4))))))))) & ((Y2 @ c0 @ c0) | (Y3 @ c0 @ c0))) => ((Y3 @ Y1 @ Y0) | (Y2 @ Y1 @ Y0)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => (Y2 @ (cS @ (cS @ Y4)) @ (cS @ Y3)))))))) & (Y2 @ c0 @ c0)) => (Y2 @ Y1 @ Y0))))) & (~ (cHALF @ Y1 @ Y0))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0))))))))))),
% 24.76/4.97 inference(cnf_transformation,[status(thm)],[f5])).
% 24.76/4.97 thf(f5,plain,(
% 24.76/4.97 ($true = (~ ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cDOUBLE @ Y1 @ Y0) => (cDOUBLE @ (cS @ Y1) @ (cS @ (cS @ Y0)))))))) & (cDOUBLE @ c0 @ c0)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cHALF @ Y1 @ Y0) & (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((((Y2 @ (cS @ c0) @ c0) | (Y3 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y3 @ Y5 @ Y4) | (Y2 @ Y5 @ Y4)) => ((Y3 @ (cS @ (cS @ Y5)) @ (cS @ Y4)) | (Y2 @ (cS @ (cS @ Y5)) @ (cS @ Y4))))))))) & ((Y2 @ c0 @ c0) | (Y3 @ c0 @ c0))) => ((Y3 @ Y1 @ Y0) | (Y2 @ Y1 @ Y0)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => (Y2 @ (cS @ (cS @ Y4)) @ (cS @ Y3)))))))) & (Y2 @ c0 @ c0)) => (Y2 @ Y1 @ Y0))))) & (~ (cHALF @ Y1 @ Y0))))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0))))))))))),
% 24.76/4.97 inference(fool_elimination,[status(thm)],[f4])).
% 24.76/4.97 thf(f4,plain,(
% 24.76/4.97 ~((! [X0 : $i,X1 : $i] : ((~(cHALF @ X0 @ X1) & ~! [X2 : $i > $i > $o] : (((X2 @ c0 @ c0) & ! [X3 : $i,X4 : $i] : ((X2 @ X3 @ X4) => (X2 @ (cS @ (cS @ X3)) @ (cS @ X4))) & (X2 @ (cS @ c0) @ c0)) => (X2 @ X0 @ X1))) | (! [X5 : $i > $i > $o,X6 : $i > $i > $o] : ((((X5 @ c0 @ c0) | (X6 @ c0 @ c0)) & ! [X7 : $i,X8 : $i] : (((X6 @ X7 @ X8) | (X5 @ X7 @ X8)) => ((X6 @ (cS @ (cS @ X7)) @ (cS @ X8)) | (X5 @ (cS @ (cS @ X7)) @ (cS @ X8)))) & ((X5 @ (cS @ c0) @ c0) | (X6 @ (cS @ c0) @ c0))) => ((X6 @ X0 @ X1) | (X5 @ X0 @ X1))) & (cHALF @ X0 @ X1))) & (cDOUBLE @ c0 @ c0) & ! [X9 : $i,X10 : $i] : ((cDOUBLE @ X9 @ X10) => (cDOUBLE @ (cS @ X9) @ (cS @ (cS @ X10))))) => ! [X11 : $i,X12 : $i] : ((cHALF @ X12 @ X11) => ((cDOUBLE @ X11 @ X12) | (cDOUBLE @ (cS @ X11) @ (cS @ X12)))))),
% 24.76/4.97 inference(rectify,[status(thm)],[f2])).
% 24.76/4.97 thf(f2,negated_conjecture,(
% 24.76/4.97 ~((! [X0 : $i,X1 : $i] : ((~(cHALF @ X0 @ X1) & ~! [X6 : $i > $i > $o] : (((X6 @ c0 @ c0) & ! [X4 : $i,X5 : $i] : ((X6 @ X4 @ X5) => (X6 @ (cS @ (cS @ X4)) @ (cS @ X5))) & (X6 @ (cS @ c0) @ c0)) => (X6 @ X0 @ X1))) | (! [X2 : $i > $i > $o,X3 : $i > $i > $o] : ((((X2 @ c0 @ c0) | (X3 @ c0 @ c0)) & ! [X4 : $i,X5 : $i] : (((X3 @ X4 @ X5) | (X2 @ X4 @ X5)) => ((X3 @ (cS @ (cS @ X4)) @ (cS @ X5)) | (X2 @ (cS @ (cS @ X4)) @ (cS @ X5)))) & ((X2 @ (cS @ c0) @ c0) | (X3 @ (cS @ c0) @ c0))) => ((X3 @ X0 @ X1) | (X2 @ X0 @ X1))) & (cHALF @ X0 @ X1))) & (cDOUBLE @ c0 @ c0) & ! [X4 : $i,X5 : $i] : ((cDOUBLE @ X4 @ X5) => (cDOUBLE @ (cS @ X4) @ (cS @ (cS @ X5))))) => ! [X1 : $i,X0 : $i] : ((cHALF @ X0 @ X1) => ((cDOUBLE @ X1 @ X0) | (cDOUBLE @ (cS @ X1) @ (cS @ X0)))))),
% 24.76/4.97 inference(negated_conjecture,[status(cth)],[f1])).
% 24.76/4.97 thf(f1,conjecture,(
% 24.76/4.97 (! [X0 : $i,X1 : $i] : ((~(cHALF @ X0 @ X1) & ~! [X6 : $i > $i > $o] : (((X6 @ c0 @ c0) & ! [X4 : $i,X5 : $i] : ((X6 @ X4 @ X5) => (X6 @ (cS @ (cS @ X4)) @ (cS @ X5))) & (X6 @ (cS @ c0) @ c0)) => (X6 @ X0 @ X1))) | (! [X2 : $i > $i > $o,X3 : $i > $i > $o] : ((((X2 @ c0 @ c0) | (X3 @ c0 @ c0)) & ! [X4 : $i,X5 : $i] : (((X3 @ X4 @ X5) | (X2 @ X4 @ X5)) => ((X3 @ (cS @ (cS @ X4)) @ (cS @ X5)) | (X2 @ (cS @ (cS @ X4)) @ (cS @ X5)))) & ((X2 @ (cS @ c0) @ c0) | (X3 @ (cS @ c0) @ c0))) => ((X3 @ X0 @ X1) | (X2 @ X0 @ X1))) & (cHALF @ X0 @ X1))) & (cDOUBLE @ c0 @ c0) & ! [X4 : $i,X5 : $i] : ((cDOUBLE @ X4 @ X5) => (cDOUBLE @ (cS @ X4) @ (cS @ (cS @ X5))))) => ! [X1 : $i,X0 : $i] : ((cHALF @ X0 @ X1) => ((cDOUBLE @ X1 @ X0) | (cDOUBLE @ (cS @ X1) @ (cS @ X0))))),
% 24.76/4.97 file('/export/starexec/sandbox/tmp/tmp.vXwBbukJja/DTF2THF_6083.p',cTHM300A_EXPAND)).
% 24.76/4.97 thf(f1114,plain,(
% 24.76/4.97 ($false = (((cDOUBLE @ (cS @ sK6) @ (cS @ sK8)) | (cDOUBLE @ sK6 @ sK8)) => ((cDOUBLE @ (cS @ (cS @ sK6)) @ (cS @ (cS @ (cS @ sK8)))) | (cDOUBLE @ (cS @ sK6) @ (cS @ (cS @ sK8))))))),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f1113])).
% 24.76/4.97 thf(f1113,plain,(
% 24.76/4.97 ($false = ((^[Y0 : $i]: (((cDOUBLE @ (cS @ sK6) @ (cS @ Y0)) | (cDOUBLE @ sK6 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ sK6)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ sK6) @ (cS @ (cS @ Y0)))))) @ sK8))),
% 24.76/4.97 inference(sigma_clausification,[status(thm)],[f1031])).
% 24.76/4.97 thf(f1031,plain,(
% 24.76/4.97 ($false = (!! @ $i @ (^[Y0 : $i]: (((cDOUBLE @ (cS @ sK6) @ (cS @ Y0)) | (cDOUBLE @ sK6 @ Y0)) => ((cDOUBLE @ (cS @ (cS @ sK6)) @ (cS @ (cS @ (cS @ Y0)))) | (cDOUBLE @ (cS @ sK6) @ (cS @ (cS @ Y0))))))))),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f1022])).
% 24.76/4.97 thf(f1022,plain,(
% 24.76/4.97 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1)))))))) @ sK6))),
% 24.76/4.97 inference(sigma_clausification,[status(thm)],[f735])).
% 24.76/4.97 thf(f735,plain,(
% 24.76/4.97 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))))),
% 24.76/4.97 inference(not_proxy_clausification,[status(thm)],[f484])).
% 24.76/4.97 thf(f484,plain,(
% 24.76/4.97 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1)))))))))))),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f483])).
% 24.76/4.97 thf(f483,plain,(
% 24.76/4.97 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) & $true)))),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f482])).
% 24.76/4.97 thf(f482,plain,(
% 24.76/4.97 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) & ($true | (cDOUBLE @ (cS @ c0) @ (cS @ c0))))))),
% 24.76/4.97 inference(forward_demodulation,[status(thm)],[f481,f53])).
% 24.76/4.97 thf(f53,plain,(
% 24.76/4.97 ((cDOUBLE @ c0 @ c0) = $true)),
% 24.76/4.97 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 24.76/4.97 thf(f481,plain,(
% 24.76/4.97 ((~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1))))))))) & ((cDOUBLE @ c0 @ c0) | (cDOUBLE @ (cS @ c0) @ (cS @ c0))))) = $true)),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f480])).
% 24.76/4.97 thf(f480,plain,(
% 24.76/4.97 ((~ (($true & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1)))))))))) & ((cDOUBLE @ c0 @ c0) | (cDOUBLE @ (cS @ c0) @ (cS @ c0))))) = $true)),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f479])).
% 24.76/4.97 thf(f479,plain,(
% 24.76/4.97 ((~ ((((cDOUBLE @ c0 @ (cS @ c0)) | $true) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1)))))))))) & ((cDOUBLE @ c0 @ c0) | (cDOUBLE @ (cS @ c0) @ (cS @ c0))))) = $true)),
% 24.76/4.97 inference(forward_demodulation,[status(thm)],[f322,f129])).
% 24.76/4.97 thf(f129,plain,(
% 24.76/4.97 ((cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0))) = $true)),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f126])).
% 24.76/4.97 thf(f126,plain,(
% 24.76/4.97 ($true = ($true => (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0)))))),
% 24.76/4.97 inference(superposition,[status(thm)],[f124,f53])).
% 24.76/4.97 thf(f322,plain,(
% 24.76/4.97 ($true = (~ ((((cDOUBLE @ c0 @ (cS @ c0)) | (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1)))))))))) & ((cDOUBLE @ c0 @ c0) | (cDOUBLE @ (cS @ c0) @ (cS @ c0))))))),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f321])).
% 24.76/4.97 thf(f321,plain,(
% 24.76/4.97 ((((((cDOUBLE @ c0 @ (cS @ c0)) | (cDOUBLE @ (cS @ c0) @ (cS @ (cS @ c0)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cDOUBLE @ (cS @ Y0) @ (cS @ Y1)) | (cDOUBLE @ Y0 @ Y1)) => ((cDOUBLE @ (cS @ (cS @ Y0)) @ (cS @ (cS @ (cS @ Y1)))) | (cDOUBLE @ (cS @ Y0) @ (cS @ (cS @ Y1)))))))))) & ((cDOUBLE @ c0 @ c0) | (cDOUBLE @ (cS @ c0) @ (cS @ c0)))) => $false) = $true)),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f215])).
% 24.76/4.97 thf(f215,plain,(
% 24.76/4.97 (((((((^[Y0 : $i]: ((^[Y1 : $i]: (cDOUBLE @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ (cS @ c0) @ c0) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cDOUBLE @ ((^[Y2 : $i]: ((^[Y3 : $i]: (cS @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (cS @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))) @ Y2 @ Y3))))) @ Y0 @ Y1))))) @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $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))))) @ Y1 @ Y0) | ((^[Y2 : $i]: ((^[Y3 : $i]: (cDOUBLE @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))) @ Y2 @ Y3))))) @ Y1 @ Y0)) => (((^[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))))) @ (cS @ (cS @ Y1)) @ (cS @ Y0)) | ((^[Y2 : $i]: ((^[Y3 : $i]: (cDOUBLE @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))) @ Y2 @ Y3))))) @ (cS @ (cS @ Y1)) @ (cS @ Y0))))))))) & (((^[Y0 : $i]: ((^[Y1 : $i]: (cDOUBLE @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cDOUBLE @ ((^[Y2 : $i]: ((^[Y3 : $i]: (cS @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (cS @ ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4)))) @ Y2 @ Y3))))) @ Y0 @ Y1))))) @ c0 @ c0))) => $false) = $true)),
% 24.76/4.97 inference(superposition,[status(thm)],[f183,f23])).
% 24.76/4.97 thf(f23,plain,(
% 24.76/4.97 ($false = ((cDOUBLE @ (cS @ sK3) @ (cS @ sK2)) | (cDOUBLE @ sK3 @ sK2)))),
% 24.76/4.97 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 24.76/4.97 thf(f22,plain,(
% 24.76/4.97 ($false = ((cHALF @ sK2 @ sK3) => ((cDOUBLE @ (cS @ sK3) @ (cS @ sK2)) | (cDOUBLE @ sK3 @ sK2))))),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f21])).
% 24.76/4.97 thf(f21,plain,(
% 24.76/4.97 ($false = ((^[Y0 : $i]: ((cHALF @ sK2 @ Y0) => ((cDOUBLE @ (cS @ Y0) @ (cS @ sK2)) | (cDOUBLE @ Y0 @ sK2)))) @ sK3))),
% 24.76/4.97 inference(sigma_clausification,[status(thm)],[f15])).
% 24.76/4.97 thf(f15,plain,(
% 24.76/4.97 ($false = (!! @ $i @ (^[Y0 : $i]: ((cHALF @ sK2 @ Y0) => ((cDOUBLE @ (cS @ Y0) @ (cS @ sK2)) | (cDOUBLE @ Y0 @ sK2))))))),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f12])).
% 24.76/4.97 thf(f12,plain,(
% 24.76/4.97 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0)))))) @ sK2))),
% 24.76/4.97 inference(sigma_clausification,[status(thm)],[f8])).
% 24.76/4.97 thf(f8,plain,(
% 24.76/4.97 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((cHALF @ Y0 @ Y1) => ((cDOUBLE @ (cS @ Y1) @ (cS @ Y0)) | (cDOUBLE @ Y1 @ Y0))))))))),
% 24.76/4.97 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 24.76/4.97 thf(f183,plain,(
% 24.76/4.97 ( ! [X2 : $i > $i > $o,X1 : $i > $i > $o] : (((((((X1 @ (cS @ c0) @ c0) | (X2 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((X2 @ Y1 @ Y0) | (X1 @ Y1 @ Y0)) => ((X2 @ (cS @ (cS @ Y1)) @ (cS @ Y0)) | (X1 @ (cS @ (cS @ Y1)) @ (cS @ Y0))))))))) & ((X1 @ c0 @ c0) | (X2 @ c0 @ c0))) => ((X2 @ sK2 @ sK3) | (X1 @ sK2 @ sK3))) = $true)) )),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f182])).
% 24.76/4.97 thf(f182,plain,(
% 24.76/4.97 ( ! [X2 : $i > $i > $o,X1 : $i > $i > $o] : ((((^[Y0 : $i > $i > $o]: (((((X1 @ (cS @ c0) @ c0) | (Y0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2 @ Y1) | (X1 @ Y2 @ Y1)) => ((Y0 @ (cS @ (cS @ Y2)) @ (cS @ Y1)) | (X1 @ (cS @ (cS @ Y2)) @ (cS @ Y1))))))))) & ((X1 @ c0 @ c0) | (Y0 @ c0 @ c0))) => ((Y0 @ sK2 @ sK3) | (X1 @ sK2 @ sK3)))) @ X2) = $true)) )),
% 24.76/4.97 inference(pi_clausification,[status(thm)],[f167])).
% 24.76/4.97 thf(f167,plain,(
% 24.76/4.97 ( ! [X1 : $i > $i > $o] : (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((((X1 @ (cS @ c0) @ c0) | (Y0 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2 @ Y1) | (X1 @ Y2 @ Y1)) => ((Y0 @ (cS @ (cS @ Y2)) @ (cS @ Y1)) | (X1 @ (cS @ (cS @ Y2)) @ (cS @ Y1))))))))) & ((X1 @ c0 @ c0) | (Y0 @ c0 @ c0))) => ((Y0 @ sK2 @ sK3) | (X1 @ sK2 @ sK3))))) = $true)) )),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f164])).
% 24.76/4.97 thf(f164,plain,(
% 24.76/4.97 ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((((Y0 @ (cS @ c0) @ c0) | (Y1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y3 @ Y2) | (Y0 @ Y3 @ Y2)) => ((Y1 @ (cS @ (cS @ Y3)) @ (cS @ Y2)) | (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y2))))))))) & ((Y0 @ c0 @ c0) | (Y1 @ c0 @ c0))) => ((Y1 @ sK2 @ sK3) | (Y0 @ sK2 @ sK3)))))) @ X1) = $true)) )),
% 24.76/4.97 inference(pi_clausification,[status(thm)],[f151])).
% 24.76/4.97 thf(f151,plain,(
% 24.76/4.97 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((((Y0 @ (cS @ c0) @ c0) | (Y1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y3 @ Y2) | (Y0 @ Y3 @ Y2)) => ((Y1 @ (cS @ (cS @ Y3)) @ (cS @ Y2)) | (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y2))))))))) & ((Y0 @ c0 @ c0) | (Y1 @ c0 @ c0))) => ((Y1 @ sK2 @ sK3) | (Y0 @ sK2 @ sK3))))))) = $true)),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f150])).
% 24.76/4.97 thf(f150,plain,(
% 24.76/4.97 (($true & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((((Y0 @ (cS @ c0) @ c0) | (Y1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y3 @ Y2) | (Y0 @ Y3 @ Y2)) => ((Y1 @ (cS @ (cS @ Y3)) @ (cS @ Y2)) | (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y2))))))))) & ((Y0 @ c0 @ c0) | (Y1 @ c0 @ c0))) => ((Y1 @ sK2 @ sK3) | (Y0 @ sK2 @ sK3)))))))) = $true)),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f149])).
% 24.76/4.97 thf(f149,plain,(
% 24.76/4.97 ((($true & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((((Y0 @ (cS @ c0) @ c0) | (Y1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y3 @ Y2) | (Y0 @ Y3 @ Y2)) => ((Y1 @ (cS @ (cS @ Y3)) @ (cS @ Y2)) | (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y2))))))))) & ((Y0 @ c0 @ c0) | (Y1 @ c0 @ c0))) => ((Y1 @ sK2 @ sK3) | (Y0 @ sK2 @ sK3)))))))) | $false) = $true)),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f148])).
% 24.76/4.97 thf(f148,plain,(
% 24.76/4.97 ((($true & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((((Y0 @ (cS @ c0) @ c0) | (Y1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y3 @ Y2) | (Y0 @ Y3 @ Y2)) => ((Y1 @ (cS @ (cS @ Y3)) @ (cS @ Y2)) | (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y2))))))))) & ((Y0 @ c0 @ c0) | (Y1 @ c0 @ c0))) => ((Y1 @ sK2 @ sK3) | (Y0 @ sK2 @ sK3)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((((Y0 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ (cS @ (cS @ Y2)) @ (cS @ Y1)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ sK2 @ sK3))))) & $false)) = $true)),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f147])).
% 24.76/4.97 thf(f147,plain,(
% 24.76/4.97 ((($true & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((((Y0 @ (cS @ c0) @ c0) | (Y1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y3 @ Y2) | (Y0 @ Y3 @ Y2)) => ((Y1 @ (cS @ (cS @ Y3)) @ (cS @ Y2)) | (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y2))))))))) & ((Y0 @ c0 @ c0) | (Y1 @ c0 @ c0))) => ((Y1 @ sK2 @ sK3) | (Y0 @ sK2 @ sK3)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((((Y0 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ (cS @ (cS @ Y2)) @ (cS @ Y1)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ sK2 @ sK3))))) & (~ $true))) = $true)),
% 24.76/4.97 inference(superposition,[status(thm)],[f133,f24])).
% 24.76/4.97 thf(f24,plain,(
% 24.76/4.97 ($true = (cHALF @ sK2 @ sK3))),
% 24.76/4.97 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 24.76/4.97 thf(f133,plain,(
% 24.76/4.97 ( ! [X2 : $i,X1 : $i] : (((((cHALF @ X2 @ X1) & (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((((Y0 @ (cS @ c0) @ c0) | (Y1 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y3 @ Y2) | (Y0 @ Y3 @ Y2)) => ((Y1 @ (cS @ (cS @ Y3)) @ (cS @ Y2)) | (Y0 @ (cS @ (cS @ Y3)) @ (cS @ Y2))))))))) & ((Y0 @ c0 @ c0) | (Y1 @ c0 @ c0))) => ((Y1 @ X2 @ X1) | (Y0 @ X2 @ X1)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((((Y0 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ (cS @ (cS @ Y2)) @ (cS @ Y1)))))))) & (Y0 @ c0 @ c0)) => (Y0 @ X2 @ X1))))) & (~ (cHALF @ X2 @ X1)))) = $true)) )),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f132])).
% 24.76/4.97 thf(f132,plain,(
% 24.76/4.97 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (((cHALF @ Y0 @ X1) & (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((((Y1 @ (cS @ c0) @ c0) | (Y2 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y2 @ Y4 @ Y3) | (Y1 @ Y4 @ Y3)) => ((Y2 @ (cS @ (cS @ Y4)) @ (cS @ Y3)) | (Y1 @ (cS @ (cS @ Y4)) @ (cS @ Y3))))))))) & ((Y1 @ c0 @ c0) | (Y2 @ c0 @ c0))) => ((Y2 @ Y0 @ X1) | (Y1 @ Y0 @ X1)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((((Y1 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (Y1 @ (cS @ (cS @ Y3)) @ (cS @ Y2)))))))) & (Y1 @ c0 @ c0)) => (Y1 @ Y0 @ X1))))) & (~ (cHALF @ Y0 @ X1))))) @ X2) = $true)) )),
% 24.76/4.97 inference(pi_clausification,[status(thm)],[f92])).
% 24.76/4.97 thf(f92,plain,(
% 24.76/4.97 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((cHALF @ Y0 @ X1) & (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((((Y1 @ (cS @ c0) @ c0) | (Y2 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y2 @ Y4 @ Y3) | (Y1 @ Y4 @ Y3)) => ((Y2 @ (cS @ (cS @ Y4)) @ (cS @ Y3)) | (Y1 @ (cS @ (cS @ Y4)) @ (cS @ Y3))))))))) & ((Y1 @ c0 @ c0) | (Y2 @ c0 @ c0))) => ((Y2 @ Y0 @ X1) | (Y1 @ Y0 @ X1)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((((Y1 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (Y1 @ (cS @ (cS @ Y3)) @ (cS @ Y2)))))))) & (Y1 @ c0 @ c0)) => (Y1 @ Y0 @ X1))))) & (~ (cHALF @ Y0 @ X1)))))))) )),
% 24.76/4.97 inference(beta_eta_normalization,[status(thm)],[f87])).
% 24.76/4.97 thf(f87,plain,(
% 24.76/4.97 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cHALF @ Y1 @ Y0) & (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((((Y2 @ (cS @ c0) @ c0) | (Y3 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y3 @ Y5 @ Y4) | (Y2 @ Y5 @ Y4)) => ((Y3 @ (cS @ (cS @ Y5)) @ (cS @ Y4)) | (Y2 @ (cS @ (cS @ Y5)) @ (cS @ Y4))))))))) & ((Y2 @ c0 @ c0) | (Y3 @ c0 @ c0))) => ((Y3 @ Y1 @ Y0) | (Y2 @ Y1 @ Y0)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => (Y2 @ (cS @ (cS @ Y4)) @ (cS @ Y3)))))))) & (Y2 @ c0 @ c0)) => (Y2 @ Y1 @ Y0))))) & (~ (cHALF @ Y1 @ Y0))))))) @ X1) = $true)) )),
% 24.76/4.97 inference(pi_clausification,[status(thm)],[f39])).
% 24.76/4.97 thf(f39,plain,(
% 24.76/4.97 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((cHALF @ Y1 @ Y0) & (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((((Y2 @ (cS @ c0) @ c0) | (Y3 @ (cS @ c0) @ c0)) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y3 @ Y5 @ Y4) | (Y2 @ Y5 @ Y4)) => ((Y3 @ (cS @ (cS @ Y5)) @ (cS @ Y4)) | (Y2 @ (cS @ (cS @ Y5)) @ (cS @ Y4))))))))) & ((Y2 @ c0 @ c0) | (Y3 @ c0 @ c0))) => ((Y3 @ Y1 @ Y0) | (Y2 @ Y1 @ Y0)))))))) | ((~ (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((((Y2 @ (cS @ c0) @ c0) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) => (Y2 @ (cS @ (cS @ Y4)) @ (cS @ Y3)))))))) & (Y2 @ c0 @ c0)) => (Y2 @ Y1 @ Y0))))) & (~ (cHALF @ Y1 @ Y0)))))))) = $true)),
% 24.76/4.97 inference(binary_proxy_clausification,[status(thm)],[f9])).
% 24.76/4.97 thf(f1329,plain,(
% 24.76/4.97 ($false = ((cDOUBLE @ (cS @ sK6) @ (cS @ sK8)) => ((cDOUBLE @ (cS @ (cS @ sK6)) @ (cS @ (cS @ (cS @ sK8)))) | (cDOUBLE @ (cS @ sK6) @ (cS @ (cS @ sK8))))))),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f1306])).
% 24.76/4.97 thf(f1306,plain,(
% 24.76/4.97 ($false = (((cDOUBLE @ (cS @ sK6) @ (cS @ sK8)) | $false) => ((cDOUBLE @ (cS @ (cS @ sK6)) @ (cS @ (cS @ (cS @ sK8)))) | (cDOUBLE @ (cS @ sK6) @ (cS @ (cS @ sK8))))))),
% 24.76/4.97 inference(superposition,[status(thm)],[f1114,f1179])).
% 24.76/4.97 thf(f1179,plain,(
% 24.76/4.97 ($false = (cDOUBLE @ sK6 @ sK8))),
% 24.76/4.97 inference(trivial_inequality_removal,[status(thm)],[f1178])).
% 24.76/4.97 thf(f1178,plain,(
% 24.76/4.97 ($false = $true) | ($false = (cDOUBLE @ sK6 @ sK8))),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f1177])).
% 24.76/4.97 thf(f1177,plain,(
% 24.76/4.97 ($false = (((cDOUBLE @ (cS @ sK6) @ (cS @ sK8)) | (cDOUBLE @ sK6 @ sK8)) => $true)) | ($false = (cDOUBLE @ sK6 @ sK8))),
% 24.76/4.97 inference(boolean_simplification,[status(thm)],[f1172])).
% 24.76/4.97 thf(f1172,plain,(
% 24.76/4.97 ($false = (((cDOUBLE @ (cS @ sK6) @ (cS @ sK8)) | (cDOUBLE @ sK6 @ sK8)) => ((cDOUBLE @ (cS @ (cS @ sK6)) @ (cS @ (cS @ (cS @ sK8)))) | $true))) | ($false = (cDOUBLE @ sK6 @ sK8))),
% 24.76/4.97 inference(superposition,[status(thm)],[f1114,f125])).
% 24.76/4.97 % SZS output end Proof for DTF2THF_6083
% 24.76/4.97 % (6305)------------------------------
% 24.76/4.97 % (6305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.76/4.97 % (6305)Termination reason: Refutation
% 24.76/4.97
% 24.76/4.97 % (6305)Memory used [KB]: 10746
% 24.76/4.97 % (6305)Time elapsed: 0.346 s
% 24.76/4.97 % (6305)Instructions burned: 1240 (million)
% 24.76/4.97 % (6305)------------------------------
% 24.76/4.97 % (6305)------------------------------
% 24.76/4.97 % (6179)Success in time 3.502 s
%------------------------------------------------------------------------------