%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV310^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:40:48 AM UTC 2026
% Result : Theorem 18.90s 4.01s
% Output : Refutation 18.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 1
% Syntax : Number of formulae : 75 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 639 ( 103 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 1433 ( 15 ~; 32 |; 0 &; 937 @)
% ( 0 <=>; 250 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 191 ( 191 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 6 con; 0-2 aty)
% ( 199 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 299 ( 241 ^; 58 !; 0 ?; 299 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cK: ( a > $o ) > a > $o ).
thf(func_def_12,type,
sP0: $o > $o ).
thf(func_def_14,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
sK3: a ).
thf(func_def_16,type,
sK4: ( a > $o ) > a ).
thf(func_def_17,type,
sK5: a ).
thf(func_def_18,type,
sK6: a > $o ).
thf(func_def_19,type,
sK7: ( a > $o ) > a ).
thf(func_def_20,type,
sK8: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_21,type,
sK9: a ).
thf(func_def_22,type,
sK10: a > $o ).
thf(f2589,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f2588]) ).
thf(f2588,plain,
$true = $false,
inference(boolean_simplification,[status(thm)],[f2587]) ).
thf(f2587,plain,
( $true = ( ~ $true ) ),
inference(forward_demodulation,[status(thm)],[f2586,f237]) ).
thf(f237,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f231]) ).
thf(f231,plain,
( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) ) ),
inference(superposition,[status(thm)],[f43,f180]) ).
thf(f180,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK6 @ Y0 )
=> ( sK6 @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f177]) ).
thf(f177,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK6 @ Y0 )
=> ( sK6 @ Y0 ) ) )
=> ( sK6 @ sK5 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f175]) ).
thf(f175,plain,
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK5 ) )
@ sK6 )
= $false ),
inference(sigma_clausification,[status(thm)],[f164]) ).
thf(f164,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK5 ) ) )
= $false ),
inference(boolean_simplification,[status(thm)],[f163]) ).
thf(f163,plain,
( $false
= ( $true
=> ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK5 ) ) ) ) ),
inference(backward_demodulation,[status(thm)],[f144,f155]) ).
thf(f155,plain,
( ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK5 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f144]) ).
thf(f144,plain,
( ( ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK5 )
=> ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK5 ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f141]) ).
thf(f141,plain,
( $false
= ( ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[status(thm)],[f137]) ).
thf(f137,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f136]) ).
thf(f136,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) )
= $false )
| ( $true = $false ) ),
inference(boolean_simplification,[status(thm)],[f135]) ).
thf(f135,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) )
= $false )
| ( $true = ( ~ $true ) ) ),
inference(beta_eta_normalization,[status(thm)],[f132]) ).
thf(f132,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
= $false )
| ( $true = ( ~ $true ) ) ),
inference(superposition,[status(thm)],[f112,f44]) ).
thf(f44,plain,
! [X2: a > $o,X1: a > $o] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f43]) ).
thf(f112,plain,
( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f108]) ).
thf(f108,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
=> $false )
= $true ),
inference(superposition,[status(thm)],[f82,f73]) ).
thf(f73,plain,
( ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f70]) ).
thf(f70,plain,
( ( $true = $false )
| ( ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 )
= $false ) ),
inference(backward_demodulation,[status(thm)],[f69,f62]) ).
thf(f62,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f52]) ).
thf(f52,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK3 ) ) )
=> ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f50]) ).
thf(f50,plain,
( $false
= ( ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) )
@ sK3 ) ),
inference(sigma_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f19]) ).
thf(f19,plain,
( ( $true = $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
= $false ) ),
inference(boolean_simplification,[status(thm)],[f18]) ).
thf(f18,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
= $false )
| ( $true = ( ~ $true ) ) ),
inference(boolean_simplification,[status(thm)],[f14]) ).
thf(f14,plain,
( ( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> $true ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) )
=> ! [X3: a] :
( ( cK @ X1 @ X3 )
=> ( cK @ X0 @ X3 ) ) )
=> ! [X4: a] :
( ! [X5: a > $o] :
( ! [X6: a] :
( ( cK @ X5 @ X6 )
=> ( X5 @ X6 ) )
=> ( X5 @ X4 ) )
=> ( cK
@ ^ [X7: a] :
! [X8: a > $o] :
( ! [X9: a] :
( ( cK @ X8 @ X9 )
=> ( X8 @ X9 ) )
=> ( X8 @ X7 ) )
@ X4 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X0 @ X2 )
=> ( cK @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ! [X3: a > $o] :
( ! [X4: a] :
( ( cK @ X3 @ X4 )
=> ( X3 @ X4 ) )
=> ( X3 @ X2 ) )
=> ( cK
@ ^ [X4: a] :
! [X3: a > $o] :
( ! [X5: a] :
( ( cK @ X3 @ X5 )
=> ( X3 @ X5 ) )
=> ( X3 @ X4 ) )
@ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X0 @ X2 )
=> ( cK @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ! [X3: a > $o] :
( ! [X4: a] :
( ( cK @ X3 @ X4 )
=> ( X3 @ X4 ) )
=> ( X3 @ X2 ) )
=> ( cK
@ ^ [X4: a] :
! [X3: a > $o] :
( ! [X5: a] :
( ( cK @ X3 @ X5 )
=> ( X3 @ X5 ) )
=> ( X3 @ X4 ) )
@ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.T3WaNDmxbH/DTF2THF_4701.p',cTHM90A_pme) ).
thf(f69,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK3 ) ) )
= $false )
| ( ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 )
= $false ) ),
inference(boolean_simplification,[status(thm)],[f63]) ).
thf(f63,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK3 ) ) )
= $false )
| ( ( $true
=> ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 ) )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f52]) ).
thf(f82,plain,
! [X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( X1 @ sK3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f80]) ).
thf(f80,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK3 ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f62]) ).
thf(f43,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f41]) ).
thf(f41,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ X1 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f40]) ).
thf(f40,plain,
! [X1: a > $o] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ X1 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f38]) ).
thf(f38,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f31]) ).
thf(f31,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f26]) ).
thf(f26,plain,
( ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[status(thm)],[f25]) ).
thf(f25,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> $false )
= $false ),
inference(backward_demodulation,[status(thm)],[f22,f20]) ).
thf(f22,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f21]) ).
thf(f21,plain,
( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) )
= $false )
| ( $true = $false ) ),
inference(boolean_simplification,[status(thm)],[f15]) ).
thf(f15,plain,
( ( $true = ( ~ $true ) )
| ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f6]) ).
thf(f2586,plain,
( ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f2585]) ).
thf(f2585,plain,
( ( $true = $false )
| ( ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) )
= $true ) ),
inference(forward_demodulation,[status(thm)],[f2580,f1797]) ).
thf(f1797,plain,
( ( sK6 @ sK9 )
= $false ),
inference(boolean_simplification,[status(thm)],[f1796]) ).
thf(f1796,plain,
( ( $true
=> ( sK6 @ sK9 ) )
= $false ),
inference(backward_demodulation,[status(thm)],[f1692,f1788]) ).
thf(f1788,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK9 ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f1692]) ).
thf(f1692,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK9 ) ) )
=> ( sK6 @ sK9 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f1689]) ).
thf(f1689,plain,
( ( ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( sK6 @ Y0 ) )
@ sK9 )
= $false ),
inference(sigma_clausification,[status(thm)],[f1650]) ).
thf(f1650,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( sK6 @ Y0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1649]) ).
thf(f1649,plain,
( ( $true = $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( sK6 @ Y0 ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f1648,f192]) ).
thf(f192,plain,
( ( sK6 @ sK5 )
= $false ),
inference(boolean_simplification,[status(thm)],[f191]) ).
thf(f191,plain,
( ( $true
=> ( sK6 @ sK5 ) )
= $false ),
inference(backward_demodulation,[status(thm)],[f177,f180]) ).
thf(f1648,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( sK6 @ Y0 ) ) ) )
| ( $true
= ( sK6 @ sK5 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f1647]) ).
thf(f1647,plain,
( ( $true
= ( sK6 @ sK5 ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( sK6 @ Y0 ) ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1583]) ).
thf(f1583,plain,
( ( $true
= ( sK6 @ sK5 ) )
| ( $true = $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( sK6 @ Y0 ) ) )
= $false ) ),
inference(superposition,[status(thm)],[f155,f1079]) ).
thf(f1079,plain,
! [X0: a,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK6 @ Y0 ) ) )
= $false )
| ( ( cK @ X1 @ X0 )
= $false )
| ( $true
= ( sK6 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f943]) ).
thf(f943,plain,
! [X0: a,X1: a > $o] :
( ( $true
= ( sK6 @ X0 ) )
| ( $true = $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK6 @ Y0 ) ) )
= $false )
| ( ( cK @ X1 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f78,f270]) ).
thf(f270,plain,
! [X1: a] :
( ( ( cK @ sK6 @ X1 )
= $false )
| ( $true
= ( sK6 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f236]) ).
thf(f236,plain,
! [X1: a] :
( $true
= ( ( cK @ sK6 @ X1 )
=> ( sK6 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f228]) ).
thf(f228,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cK @ sK6 @ Y0 )
=> ( sK6 @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f180]) ).
thf(f78,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false )
| ( $true
= ( cK @ X2 @ X3 ) )
| ( ( cK @ X1 @ X3 )
= $false ) ),
inference(boolean_simplification,[status(thm)],[f75]) ).
thf(f75,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( $true
=> ( cK @ X2 @ X3 ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false )
| ( ( cK @ X1 @ X3 )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f58]) ).
thf(f58,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( ( cK @ X1 @ X3 )
=> ( cK @ X2 @ X3 ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) )
@ X3 ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false ) ),
inference(pi_clausification,[status(thm)],[f44]) ).
thf(f2580,plain,
( ( $true
= ( sK6 @ sK9 ) )
| ( ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) )
= $true ) ),
inference(boolean_simplification,[status(thm)],[f2511]) ).
thf(f2511,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) )
=> $false )
= $true )
| ( $true
= ( sK6 @ sK9 ) ) ),
inference(superposition,[status(thm)],[f2506,f270]) ).
thf(f2506,plain,
! [X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( X1 @ sK9 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f2504]) ).
thf(f2504,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK9 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f1788]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV310^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.32 % Computer : n025.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue Feb 24 12:43:57 EST 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.30/0.45 ---- Original DTF file ---
% 0.30/0.45 thf(spec,logic,$$dhol).
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 % File : SEV310^5 : TPTP v9.2.1. Released v4.0.0.
% 0.30/0.45 % Domain : Set Theory (Sets of sets)
% 0.30/0.45 % Problem : TPS problem from SET-KNASTER-TARSKI-INST
% 0.30/0.45 % Version : Especial.
% 0.30/0.45 % English : Related to the Knaster-Tarski theorem.
% 0.30/0.45
% 0.30/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.30/0.45 % Source : [Bro09]
% 0.30/0.45 % Names : tps_0962 [Bro09]
% 0.30/0.45
% 0.30/0.45 % Status : Theorem
% 0.30/0.45 % Rating : 0.17 v9.1.0, 0.12 v9.0.0, 0.42 v8.2.0, 0.36 v8.1.0, 0.42 v7.4.0, 0.33 v7.3.0, 0.40 v7.2.0, 0.38 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.67 v6.1.0, 0.33 v6.0.0, 0.50 v5.5.0, 0.60 v5.4.0, 0.75 v4.1.0, 1.00 v4.0.0
% 0.30/0.45 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.30/0.45 % Number of atoms : 5 ( 0 equ; 0 cnn)
% 0.30/0.45 % Maximal formula atoms : 5 ( 5 avg)
% 0.30/0.45 % Number of connectives : 25 ( 0 ~; 0 |; 0 &; 16 @)
% 0.30/0.45 % ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% 0.30/0.45 % Maximal formula depth : 13 ( 13 avg)
% 0.30/0.45 % Number of types : 2 ( 1 usr)
% 0.30/0.45 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.30/0.45 % Number of symbols : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.30/0.45 % Number of variables : 10 ( 1 ^; 9 !; 0 ?; 10 :)
% 0.30/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.30/0.45
% 0.30/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.30/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.30/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.30/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 thf(a_type,type,
% 0.30/0.45 a: $tType ).
% 0.30/0.45
% 0.30/0.45 thf(cK,type,
% 0.30/0.45 cK: ( a > $o ) > a > $o ).
% 0.30/0.45
% 0.30/0.45 thf(cTHM90A_pme,conjecture,
% 0.30/0.45 ( ! [X: a > $o,Y: a > $o] :
% 0.30/0.45 ( ! [Xx: a] :
% 0.30/0.45 ( ( X @ Xx )
% 0.30/0.45 => ( Y @ Xx ) )
% 0.30/0.45 => ! [Xx: a] :
% 0.30/0.45 ( ( cK @ X @ Xx )
% 0.30/0.45 => ( cK @ Y @ Xx ) ) )
% 0.30/0.45 => ! [Xx: a] :
% 0.30/0.45 ( ! [S: a > $o] :
% 0.30/0.45 ( ! [Xx0: a] :
% 0.30/0.45 ( ( cK @ S @ Xx0 )
% 0.30/0.45 => ( S @ Xx0 ) )
% 0.30/0.45 => ( S @ Xx ) )
% 0.30/0.45 => ( cK
% 0.30/0.45 @ ^ [Xx0: a] :
% 0.30/0.45 ! [S: a > $o] :
% 0.30/0.45 ( ! [Xx1: a] :
% 0.30/0.45 ( ( cK @ S @ Xx1 )
% 0.30/0.45 => ( S @ Xx1 ) )
% 0.30/0.45 => ( S @ Xx0 ) )
% 0.30/0.45 @ Xx ) ) ) ).
% 0.30/0.45
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 ------------------------
% 1.49/1.26 ---- Embedded in THF ---
% 1.49/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.26 %%% Generated on Tue Feb 24 12:43:58 EST 2026
% 1.49/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.26 %%% Logic specification used:
% 1.49/1.26 %%% thf(spec, logic, $$dhol).
% 1.49/1.26
% 1.49/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.T3WaNDmxbH/DTF2DTF4701.p
% See solution above
% 1.49/1.26 ------------------------
% 1.49/1.27 ---- Cleaned THF ---
% 1.49/1.27 thf(a_type,type,
% 1.49/1.27 a: $tType ).
% 1.49/1.27
% 1.49/1.27 thf(cK,type,
% 1.49/1.27 cK: ( a > $o ) > a > $o ).
% 1.49/1.27
% 1.49/1.27 thf(cTHM90A_pme,conjecture,
% 1.49/1.27 ( ! [X: a > $o,Y: a > $o] :
% 1.49/1.27 ( ! [Xx: a] :
% 1.49/1.27 ( ( X @ Xx )
% 1.49/1.27 => ( Y @ Xx ) )
% 1.49/1.27 => ! [Xx: a] :
% 1.49/1.27 ( ( cK @ X @ Xx )
% 1.49/1.27 => ( cK @ Y @ Xx ) ) )
% 1.49/1.27 => ! [Xx: a] :
% 1.49/1.27 ( ! [S: a > $o] :
% 1.49/1.27 ( ! [Xx0: a] :
% 1.49/1.27 ( ( cK @ S @ Xx0 )
% 1.49/1.27 => ( S @ Xx0 ) )
% 1.49/1.27 => ( S @ Xx ) )
% 1.49/1.27 => ( cK
% 1.49/1.27 @ ^ [Xx0: a] :
% 1.49/1.27 ! [S: a > $o] :
% 1.49/1.27 ( ! [Xx1: a] :
% 1.49/1.27 ( ( cK @ S @ Xx1 )
% 1.49/1.27 => ( S @ Xx1 ) )
% 1.49/1.27 => ( S @ Xx0 ) )
% 1.49/1.27 @ Xx ) ) ) ).
% 1.49/1.27 ------------------------
% 1.49/1.28 % (4910)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_4701 for (2999ds/4Mi)
% 1.49/1.29 % (4912)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/2Mi)
% 1.49/1.29 % (4910)Instruction limit reached!
% 1.49/1.29 % (4910)------------------------------
% 1.49/1.29 % (4910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (4910)Termination reason: Unknown
% 1.49/1.29 % (4910)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (4910)Memory used [KB]: 5500
% 1.49/1.29 % (4910)Time elapsed: 0.003 s
% 1.49/1.29 % (4910)Instructions burned: 4 (million)
% 1.49/1.29 % (4910)------------------------------
% 1.49/1.29 % (4910)------------------------------
% 1.49/1.29 % (4912)Instruction limit reached!
% 1.49/1.29 % (4912)------------------------------
% 1.49/1.29 % (4912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (4912)Termination reason: Unknown
% 1.49/1.29 % (4912)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (4912)Memory used [KB]: 5500
% 1.49/1.29 % (4912)Time elapsed: 0.002 s
% 1.49/1.29 % (4912)Instructions burned: 2 (million)
% 1.49/1.29 % (4912)------------------------------
% 1.49/1.29 % (4912)------------------------------
% 1.49/1.29 % (4909)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/183Mi)
% 1.49/1.29 % (4911)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_4701 for (2999ds/27Mi)
% 1.49/1.29 % (4913)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_4701 for (2999ds/2Mi)
% 1.49/1.29 % (4914)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_4701 for (2999ds/275Mi)
% 1.49/1.29 % (4915)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/18Mi)
% 1.49/1.29 % (4913)Instruction limit reached!
% 1.49/1.29 % (4913)------------------------------
% 1.49/1.29 % (4913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (4913)Termination reason: Unknown
% 1.49/1.29 % (4913)Termination phase: Saturation
% 1.49/1.29
% 1.49/1.29 % (4913)Memory used [KB]: 5500
% 1.49/1.29 % (4913)Time elapsed: 0.004 s
% 1.49/1.29 % (4913)Instructions burned: 2 (million)
% 1.49/1.29 % (4913)------------------------------
% 1.49/1.29 % (4913)------------------------------
% 1.49/1.30 % (4916)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/3Mi)
% 1.62/1.30 % (4917)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_4701 for (2999ds/37Mi)
% 1.62/1.30 % (4916)Instruction limit reached!
% 1.62/1.30 % (4916)------------------------------
% 1.62/1.30 % (4916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.30 % (4916)Termination reason: Unknown
% 1.62/1.30 % (4916)Termination phase: Saturation
% 1.62/1.30
% 1.62/1.30 % (4916)Memory used [KB]: 5500
% 1.62/1.30 % (4916)Time elapsed: 0.003 s
% 1.62/1.30 % (4916)Instructions burned: 5 (million)
% 1.62/1.30 % (4916)------------------------------
% 1.62/1.30 % (4916)------------------------------
% 1.62/1.31 % (4915)Instruction limit reached!
% 1.62/1.31 % (4915)------------------------------
% 1.62/1.31 % (4915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.31 % (4915)Termination reason: Unknown
% 1.62/1.31 % (4915)Termination phase: Saturation
% 1.62/1.31
% 1.62/1.31 % (4915)Memory used [KB]: 5628
% 1.62/1.31 % (4915)Time elapsed: 0.014 s
% 1.62/1.31 % (4915)Instructions burned: 19 (million)
% 1.62/1.31 % (4915)------------------------------
% 1.62/1.31 % (4915)------------------------------
% 1.62/1.31 % (4919)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_4701 for (2999ds/3Mi)
% 1.62/1.31 % (4919)Instruction limit reached!
% 1.62/1.31 % (4919)------------------------------
% 1.62/1.31 % (4919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.31 % (4919)Termination reason: Unknown
% 1.62/1.31 % (4919)Termination phase: Saturation
% 1.62/1.31
% 1.62/1.31 % (4919)Memory used [KB]: 5500
% 1.62/1.31 % (4919)Time elapsed: 0.002 s
% 1.62/1.31 % (4919)Instructions burned: 3 (million)
% 1.62/1.31 % (4919)------------------------------
% 1.62/1.31 % (4919)------------------------------
% 1.62/1.31 % (4917)Instruction limit reached!
% 1.62/1.31 % (4917)------------------------------
% 1.62/1.31 % (4917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.31 % (4917)Termination reason: Unknown
% 1.62/1.31 % (4917)Termination phase: Saturation
% 1.62/1.31
% 1.62/1.31 % (4917)Memory used [KB]: 6012
% 1.62/1.31 % (4917)Time elapsed: 0.014 s
% 1.62/1.31 % (4917)Instructions burned: 39 (million)
% 1.62/1.31 % (4917)------------------------------
% 1.62/1.31 % (4917)------------------------------
% 1.62/1.31 % (4911)Instruction limit reached!
% 1.62/1.31 % (4911)------------------------------
% 1.62/1.31 % (4911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.31 % (4911)Termination reason: Unknown
% 1.62/1.31 % (4911)Termination phase: Saturation
% 1.62/1.31
% 1.62/1.31 % (4911)Memory used [KB]: 5628
% 1.62/1.31 % (4911)Time elapsed: 0.019 s
% 1.62/1.31 % (4911)Instructions burned: 28 (million)
% 1.62/1.31 % (4911)------------------------------
% 1.62/1.31 % (4911)------------------------------
% 1.62/1.31 % (4918)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_4701 for (2999ds/15Mi)
% 1.62/1.32 % (4921)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/7Mi)
% 1.62/1.32 % (4922)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/16Mi)
% 1.62/1.32 % (4921)Instruction limit reached!
% 1.62/1.32 % (4921)------------------------------
% 1.62/1.32 % (4921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32 % (4921)Termination reason: Unknown
% 1.62/1.32 % (4921)Termination phase: Saturation
% 1.62/1.32
% 1.62/1.32 % (4921)Memory used [KB]: 1023
% 1.62/1.32 % (4921)Time elapsed: 0.004 s
% 1.62/1.32 % (4921)Instructions burned: 8 (million)
% 1.62/1.32 % (4921)------------------------------
% 1.62/1.32 % (4921)------------------------------
% 1.62/1.32 % (4918)Instruction limit reached!
% 1.62/1.32 % (4918)------------------------------
% 1.62/1.32 % (4918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32 % (4918)Termination reason: Unknown
% 1.62/1.32 % (4918)Termination phase: Saturation
% 1.62/1.32
% 1.62/1.32 % (4918)Memory used [KB]: 5628
% 1.62/1.32 % (4918)Time elapsed: 0.012 s
% 1.62/1.32 % (4918)Instructions burned: 15 (million)
% 1.62/1.32 % (4918)------------------------------
% 1.62/1.32 % (4918)------------------------------
% 1.62/1.32 % (4920)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_4701 for (2999ds/1041Mi)
% 1.62/1.33 % (4922)Instruction limit reached!
% 1.62/1.33 % (4922)------------------------------
% 1.62/1.33 % (4922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.33 % (4922)Termination reason: Unknown
% 1.62/1.33 % (4922)Termination phase: Saturation
% 1.62/1.33
% 1.62/1.33 % (4922)Memory used [KB]: 5756
% 1.62/1.33 % (4922)Time elapsed: 0.008 s
% 1.62/1.33 % (4922)Instructions burned: 16 (million)
% 1.62/1.33 % (4922)------------------------------
% 1.62/1.33 % (4922)------------------------------
% 1.62/1.33 % (4923)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_4701 for (2999ds/3Mi)
% 1.62/1.33 % (4923)Instruction limit reached!
% 1.62/1.33 % (4923)------------------------------
% 1.62/1.33 % (4923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.33 % (4923)Termination reason: Unknown
% 1.62/1.33 % (4923)Termination phase: Saturation
% 1.62/1.33
% 1.62/1.33 % (4923)Memory used [KB]: 5500
% 1.62/1.33 % (4923)Time elapsed: 0.004 s
% 1.62/1.33 % (4923)Instructions burned: 4 (million)
% 1.62/1.33 % (4923)------------------------------
% 1.62/1.33 % (4923)------------------------------
% 1.62/1.33 % (4924)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_4701 for (2999ds/3Mi)
% 1.62/1.33 % (4924)Instruction limit reached!
% 1.62/1.33 % (4924)------------------------------
% 1.62/1.33 % (4924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.33 % (4924)Termination reason: Unknown
% 1.62/1.33 % (4924)Termination phase: Saturation
% 1.62/1.33
% 1.62/1.33 % (4924)Memory used [KB]: 1023
% 1.62/1.33 % (4924)Time elapsed: 0.002 s
% 1.62/1.33 % (4924)Instructions burned: 3 (million)
% 1.62/1.33 % (4924)------------------------------
% 1.62/1.33 % (4924)------------------------------
% 1.62/1.34 % (4926)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/3Mi)
% 1.62/1.34 % (4926)Instruction limit reached!
% 1.62/1.34 % (4926)------------------------------
% 1.62/1.34 % (4926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.34 % (4926)Termination reason: Unknown
% 1.62/1.34 % (4926)Termination phase: Saturation
% 1.62/1.34
% 1.62/1.34 % (4926)Memory used [KB]: 5500
% 1.62/1.34 % (4926)Time elapsed: 0.003 s
% 1.62/1.34 % (4926)Instructions burned: 4 (million)
% 1.62/1.34 % (4926)------------------------------
% 1.62/1.34 % (4926)------------------------------
% 1.62/1.34 % (4925)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/7Mi)
% 1.62/1.34 % (4928)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/18Mi)
% 1.62/1.34 % (4928)Refutation not found, incomplete strategy
% 1.62/1.34 % (4928)------------------------------
% 1.62/1.34 % (4928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.34 % (4928)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.34
% 1.62/1.34
% 1.62/1.34 % (4928)Memory used [KB]: 5500
% 1.62/1.34 % (4928)Time elapsed: 0.002 s
% 1.62/1.34 % (4928)Instructions burned: 3 (million)
% 1.62/1.34 % (4928)------------------------------
% 1.62/1.34 % (4928)------------------------------
% 1.62/1.34 % (4925)Instruction limit reached!
% 1.62/1.34 % (4925)------------------------------
% 1.62/1.34 % (4925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.34 % (4925)Termination reason: Unknown
% 1.62/1.34 % (4925)Termination phase: Saturation
% 1.62/1.34
% 1.62/1.34 % (4925)Memory used [KB]: 5500
% 1.62/1.34 % (4925)Time elapsed: 0.007 s
% 1.62/1.34 % (4925)Instructions burned: 8 (million)
% 1.62/1.34 % (4925)------------------------------
% 1.62/1.34 % (4925)------------------------------
% 1.62/1.35 % (4927)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/4Mi)
% 1.62/1.35 % (4929)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/710Mi)
% 1.62/1.35 % (4927)Instruction limit reached!
% 1.62/1.35 % (4927)------------------------------
% 1.62/1.35 % (4927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.35 % (4927)Termination reason: Unknown
% 1.62/1.35 % (4927)Termination phase: Saturation
% 1.62/1.35
% 1.62/1.35 % (4927)Memory used [KB]: 5500
% 1.62/1.35 % (4927)Time elapsed: 0.004 s
% 1.62/1.35 % (4927)Instructions burned: 5 (million)
% 1.62/1.35 % (4927)------------------------------
% 1.62/1.35 % (4927)------------------------------
% 1.62/1.35 % (4930)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/6Mi)
% 1.62/1.35 % (4930)Instruction limit reached!
% 1.62/1.35 % (4930)------------------------------
% 1.62/1.35 % (4930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.35 % (4930)Termination reason: Unknown
% 1.62/1.35 % (4930)Termination phase: Saturation
% 1.62/1.35
% 1.62/1.35 % (4930)Memory used [KB]: 5500
% 1.62/1.35 % (4930)Time elapsed: 0.004 s
% 1.62/1.35 % (4930)Instructions burned: 8 (million)
% 1.62/1.35 % (4930)------------------------------
% 1.62/1.35 % (4930)------------------------------
% 1.62/1.36 % (4932)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_4701 for (2999ds/21Mi)
% 1.62/1.36 % (4931)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_4701 for (2999ds/902Mi)
% 1.62/1.36 % (4933)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/5Mi)
% 1.62/1.37 % (4933)Instruction limit reached!
% 1.62/1.37 % (4933)------------------------------
% 1.62/1.37 % (4933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.37 % (4933)Termination reason: Unknown
% 1.62/1.37 % (4933)Termination phase: Saturation
% 1.62/1.37
% 1.62/1.37 % (4933)Memory used [KB]: 5500
% 1.62/1.37 % (4933)Time elapsed: 0.003 s
% 1.62/1.37 % (4933)Instructions burned: 7 (million)
% 1.62/1.37 % (4933)------------------------------
% 1.62/1.37 % (4933)------------------------------
% 1.62/1.37 % (4932)Instruction limit reached!
% 1.62/1.37 % (4932)------------------------------
% 1.62/1.37 % (4932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.37 % (4932)Termination reason: Unknown
% 1.62/1.37 % (4932)Termination phase: Saturation
% 1.62/1.37
% 1.62/1.37 % (4932)Memory used [KB]: 5628
% 1.62/1.37 % (4932)Time elapsed: 0.010 s
% 1.62/1.37 % (4932)Instructions burned: 22 (million)
% 1.62/1.37 % (4932)------------------------------
% 1.62/1.37 % (4932)------------------------------
% 1.62/1.38 % (4934)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_4701 for (2999ds/6Mi)
% 1.62/1.38 % (4934)Instruction limit reached!
% 1.62/1.38 % (4934)------------------------------
% 1.62/1.38 % (4934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.38 % (4934)Termination reason: Unknown
% 1.62/1.38 % (4934)Termination phase: Saturation
% 1.62/1.38
% 1.62/1.38 % (4934)Memory used [KB]: 5500
% 1.62/1.38 % (4934)Time elapsed: 0.003 s
% 1.62/1.38 % (4934)Instructions burned: 7 (million)
% 1.62/1.38 % (4934)------------------------------
% 1.62/1.38 % (4934)------------------------------
% 1.62/1.38 % (4935)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_4701 for (2999ds/377Mi)
% 1.62/1.39 % (4936)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_4701 for (2999ds/779Mi)
% 1.62/1.39 % (4909)Instruction limit reached!
% 1.62/1.39 % (4909)------------------------------
% 1.62/1.39 % (4909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.39 % (4909)Termination reason: Unknown
% 1.62/1.39 % (4909)Termination phase: Saturation
% 1.62/1.39
% 1.62/1.39 % (4909)Memory used [KB]: 6780
% 1.62/1.39 % (4909)Time elapsed: 0.103 s
% 1.62/1.39 % (4909)Instructions burned: 183 (million)
% 1.62/1.39 % (4909)------------------------------
% 1.62/1.39 % (4909)------------------------------
% 1.62/1.41 % (4937)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_4701 for (2998ds/19Mi)
% 1.62/1.41 % (4937)Instruction limit reached!
% 1.62/1.41 % (4937)------------------------------
% 1.62/1.41 % (4937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.41 % (4937)Termination reason: Unknown
% 1.62/1.41 % (4937)Termination phase: Saturation
% 1.62/1.41
% 1.62/1.41 % (4937)Memory used [KB]: 5628
% 1.62/1.41 % (4937)Time elapsed: 0.008 s
% 1.62/1.41 % (4937)Instructions burned: 19 (million)
% 1.62/1.41 % (4937)------------------------------
% 1.62/1.41 % (4937)------------------------------
% 1.62/1.42 % (4938)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_4701 for (2998ds/879Mi)
% 1.62/1.43 % (4914)Instruction limit reached!
% 1.62/1.43 % (4914)------------------------------
% 1.62/1.43 % (4914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.43 % (4914)Termination reason: Unknown
% 1.62/1.43 % (4914)Termination phase: Saturation
% 1.62/1.43
% 1.62/1.43 % (4914)Memory used [KB]: 6012
% 1.62/1.43 % (4914)Time elapsed: 0.135 s
% 1.62/1.43 % (4914)Instructions burned: 275 (million)
% 1.62/1.43 % (4914)------------------------------
% 1.62/1.43 % (4914)------------------------------
% 1.62/1.44 % (4939)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_4701 for (2998ds/17Mi)
% 1.62/1.44 % (4939)Instruction limit reached!
% 1.62/1.44 % (4939)------------------------------
% 1.62/1.44 % (4939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.44 % (4939)Termination reason: Unknown
% 1.62/1.44 % (4939)Termination phase: Saturation
% 1.62/1.44
% 1.62/1.44 % (4939)Memory used [KB]: 5628
% 1.62/1.44 % (4939)Time elapsed: 0.008 s
% 1.62/1.44 % (4939)Instructions burned: 18 (million)
% 1.62/1.44 % (4939)------------------------------
% 1.62/1.44 % (4939)------------------------------
% 1.62/1.45 % (4940)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_4701 for (2998ds/3Mi)
% 1.62/1.45 % (4940)Instruction limit reached!
% 1.62/1.45 % (4940)------------------------------
% 1.62/1.45 % (4940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.45 % (4940)Termination reason: Unknown
% 1.62/1.45 % (4940)Termination phase: Saturation
% 1.62/1.45
% 1.62/1.45 % (4940)Memory used [KB]: 5500
% 1.62/1.45 % (4940)Time elapsed: 0.003 s
% 1.62/1.45 % (4940)Instructions burned: 4 (million)
% 1.62/1.45 % (4940)------------------------------
% 1.62/1.45 % (4940)------------------------------
% 1.62/1.46 % (4941)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_4701 for (2998ds/30Mi)
% 1.62/1.47 % (4941)Instruction limit reached!
% 1.62/1.47 % (4941)------------------------------
% 1.62/1.47 % (4941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.47 % (4941)Termination reason: Unknown
% 1.62/1.47 % (4941)Termination phase: Saturation
% 1.62/1.47
% 1.62/1.47 % (4941)Memory used [KB]: 5628
% 1.62/1.47 % (4941)Time elapsed: 0.013 s
% 1.62/1.47 % (4941)Instructions burned: 32 (million)
% 1.62/1.47 % (4941)------------------------------
% 1.62/1.47 % (4941)------------------------------
% 1.62/1.48 % (4942)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_4701 for (2997ds/127Mi)
% 1.62/1.50 % (4935)Instruction limit reached!
% 1.62/1.50 % (4935)------------------------------
% 1.62/1.50 % (4935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.50 % (4935)Termination reason: Unknown
% 1.62/1.50 % (4935)Termination phase: Saturation
% 1.62/1.50
% 1.62/1.50 % (4935)Memory used [KB]: 6268
% 1.62/1.50 % (4935)Time elapsed: 0.122 s
% 1.62/1.50 % (4935)Instructions burned: 378 (million)
% 1.62/1.50 % (4935)------------------------------
% 1.62/1.50 % (4935)------------------------------
% 1.62/1.51 % (4943)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_4701 for (2997ds/100Mi)
% 1.62/1.51 % (4943)Refutation not found, incomplete strategy
% 1.62/1.51 % (4943)------------------------------
% 1.62/1.51 % (4943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.51 % (4943)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.51
% 1.62/1.51
% 1.62/1.51 % (4943)Memory used [KB]: 5500
% 1.62/1.51 % (4943)Time elapsed: 0.003 s
% 1.62/1.51 % (4943)Instructions burned: 3 (million)
% 1.62/1.51 % (4943)------------------------------
% 1.62/1.51 % (4943)------------------------------
% 1.62/1.52 % (4944)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_4701 for (2997ds/3Mi)
% 1.62/1.52 % (4944)Instruction limit reached!
% 1.62/1.52 % (4944)------------------------------
% 1.62/1.52 % (4944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.52 % (4944)Termination reason: Unknown
% 1.62/1.52 % (4944)Termination phase: Saturation
% 1.62/1.52
% 1.62/1.52 % (4944)Memory used [KB]: 5500
% 1.62/1.52 % (4944)Time elapsed: 0.003 s
% 1.62/1.52 % (4944)Instructions burned: 4 (million)
% 1.62/1.52 % (4944)------------------------------
% 1.62/1.52 % (4944)------------------------------
% 1.62/1.53 % (4942)Instruction limit reached!
% 1.62/1.53 % (4942)------------------------------
% 1.62/1.53 % (4942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.53 % (4942)Termination reason: Unknown
% 1.62/1.53 % (4942)Termination phase: Saturation
% 1.62/1.53
% 1.62/1.53 % (4942)Memory used [KB]: 6268
% 1.62/1.53 % (4942)Time elapsed: 0.045 s
% 1.62/1.53 % (4942)Instructions burned: 128 (million)
% 1.62/1.53 % (4942)------------------------------
% 1.62/1.53 % (4942)------------------------------
% 1.62/1.53 % (4945)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_4701 for (2997ds/20Mi)
% 1.62/1.54 % (4946)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_4701 for (2997ds/86Mi)
% 1.62/1.54 % (4945)Instruction limit reached!
% 1.62/1.54 % (4945)------------------------------
% 1.62/1.54 % (4945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.54 % (4945)Termination reason: Unknown
% 1.62/1.54 % (4945)Termination phase: Saturation
% 1.62/1.54
% 1.62/1.54 % (4945)Memory used [KB]: 5628
% 1.62/1.54 % (4945)Time elapsed: 0.009 s
% 1.62/1.54 % (4945)Instructions burned: 20 (million)
% 1.62/1.54 % (4945)------------------------------
% 1.62/1.54 % (4945)------------------------------
% 1.62/1.55 % (4947)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_4701 for (2997ds/107Mi)
% 1.62/1.57 % (4946)Instruction limit reached!
% 1.62/1.57 % (4946)------------------------------
% 1.62/1.57 % (4946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.57 % (4946)Termination reason: Unknown
% 1.62/1.57 % (4946)Termination phase: Saturation
% 1.62/1.57
% 1.62/1.57 % (4946)Memory used [KB]: 6012
% 1.62/1.57 % (4946)Time elapsed: 0.030 s
% 1.62/1.57 % (4946)Instructions burned: 86 (million)
% 1.62/1.57 % (4946)------------------------------
% 1.62/1.57 % (4946)------------------------------
% 1.62/1.58 % (4929)Instruction limit reached!
% 1.62/1.58 % (4929)------------------------------
% 1.62/1.58 % (4929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.58 % (4929)Termination reason: Unknown
% 1.62/1.58 % (4929)Termination phase: Saturation
% 1.62/1.58
% 1.62/1.58 % (4929)Memory used [KB]: 6780
% 1.62/1.58 % (4929)Time elapsed: 0.230 s
% 1.62/1.58 % (4929)Instructions burned: 711 (million)
% 1.62/1.58 % (4929)------------------------------
% 1.62/1.58 % (4929)------------------------------
% 1.62/1.58 % (4948)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_4701 for (2997ds/39Mi)
% 1.62/1.58 % (4947)Instruction limit reached!
% 1.62/1.58 % (4947)------------------------------
% 1.62/1.58 % (4947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.58 % (4947)Termination reason: Unknown
% 1.62/1.58 % (4947)Termination phase: Saturation
% 1.62/1.58
% 1.62/1.58 % (4947)Memory used [KB]: 5628
% 1.62/1.58 % (4947)Time elapsed: 0.035 s
% 1.62/1.58 % (4947)Instructions burned: 109 (million)
% 1.62/1.58 % (4947)------------------------------
% 1.62/1.58 % (4947)------------------------------
% 1.62/1.58 % (4949)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_4701 for (2996ds/448Mi)
% 1.62/1.59 % (4948)Instruction limit reached!
% 1.62/1.59 % (4948)------------------------------
% 1.62/1.59 % (4948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.59 % (4948)Termination reason: Unknown
% 1.62/1.59 % (4948)Termination phase: Saturation
% 1.62/1.59
% 1.62/1.59 % (4948)Memory used [KB]: 5884
% 1.62/1.59 % (4948)Time elapsed: 0.014 s
% 1.62/1.59 % (4948)Instructions burned: 40 (million)
% 1.62/1.59 % (4948)------------------------------
% 1.62/1.59 % (4948)------------------------------
% 1.62/1.59 % (4950)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_4701 for (2996ds/46Mi)
% 1.62/1.60 % (4951)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_4701 for (2996ds/98Mi)
% 1.62/1.61 % (4950)Instruction limit reached!
% 1.62/1.61 % (4950)------------------------------
% 1.62/1.61 % (4950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.61 % (4950)Termination reason: Unknown
% 1.62/1.61 % (4950)Termination phase: Saturation
% 1.62/1.61
% 1.62/1.61 % (4950)Memory used [KB]: 5756
% 1.62/1.61 % (4950)Time elapsed: 0.019 s
% 1.62/1.61 % (4950)Instructions burned: 48 (million)
% 1.62/1.61 % (4950)------------------------------
% 1.62/1.61 % (4950)------------------------------
% 1.62/1.61 % (4936)Instruction limit reached!
% 1.62/1.61 % (4936)------------------------------
% 1.62/1.61 % (4936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.61 % (4936)Termination reason: Unknown
% 1.62/1.61 % (4936)Termination phase: Saturation
% 1.62/1.61
% 1.62/1.61 % (4936)Memory used [KB]: 6908
% 1.62/1.61 % (4936)Time elapsed: 0.249 s
% 1.62/1.61 % (4936)Instructions burned: 779 (million)
% 1.62/1.61 % (4936)------------------------------
% 1.62/1.61 % (4936)------------------------------
% 1.62/1.62 % (4952)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_4701 for (2996ds/507Mi)
% 1.62/1.62 % (4953)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_4701 for (2996ds/149Mi)
% 1.62/1.63 % (4951)Instruction limit reached!
% 1.62/1.63 % (4951)------------------------------
% 1.62/1.63 % (4951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.63 % (4951)Termination reason: Unknown
% 1.62/1.63 % (4951)Termination phase: Saturation
% 1.62/1.63
% 1.62/1.63 % (4951)Memory used [KB]: 1279
% 1.62/1.63 % (4951)Time elapsed: 0.033 s
% 1.62/1.63 % (4951)Instructions burned: 98 (million)
% 1.62/1.63 % (4951)------------------------------
% 1.62/1.63 % (4951)------------------------------
% 1.62/1.64 % (4954)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_4701 for (2996ds/39Mi)
% 1.62/1.65 % (4920)Instruction limit reached!
% 1.62/1.65 % (4920)------------------------------
% 1.62/1.65 % (4920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.65 % (4920)Termination reason: Unknown
% 1.62/1.65 % (4920)Termination phase: Saturation
% 1.62/1.65
% 1.62/1.65 % (4920)Memory used [KB]: 6908
% 1.62/1.65 % (4920)Time elapsed: 0.327 s
% 1.62/1.65 % (4920)Instructions burned: 1043 (million)
% 1.62/1.65 % (4920)------------------------------
% 1.62/1.65 % (4920)------------------------------
% 1.62/1.65 % (4954)Instruction limit reached!
% 1.62/1.65 % (4954)------------------------------
% 1.62/1.65 % (4954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.65 % (4954)Termination reason: Unknown
% 1.62/1.65 % (4954)Termination phase: Saturation
% 1.62/1.65
% 1.62/1.65 % (4954)Memory used [KB]: 5628
% 1.62/1.65 % (4954)Time elapsed: 0.015 s
% 1.62/1.65 % (4954)Instructions burned: 39 (million)
% 1.62/1.65 % (4954)------------------------------
% 1.62/1.65 % (4954)------------------------------
% 1.62/1.66 % (4955)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_4701 for (2996ds/6Mi)
% 1.62/1.66 % (4931)Instruction limit reached!
% 1.62/1.66 % (4931)------------------------------
% 1.62/1.66 % (4931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.66 % (4931)Termination reason: Unknown
% 1.62/1.66 % (4931)Termination phase: Saturation
% 1.62/1.66
% 1.62/1.66 % (4931)Memory used [KB]: 6524
% 1.62/1.66 % (4931)Time elapsed: 0.301 s
% 1.62/1.66 % (4931)Instructions burned: 903 (million)
% 1.62/1.66 % (4931)------------------------------
% 1.62/1.66 % (4931)------------------------------
% 1.62/1.66 % (4955)Instruction limit reached!
% 1.62/1.66 % (4955)------------------------------
% 1.62/1.66 % (4955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.66 % (4955)Termination reason: Unknown
% 1.62/1.66 % (4955)Termination phase: Saturation
% 1.62/1.66
% 1.62/1.66 % (4955)Memory used [KB]: 9978
% 1.62/1.66 % (4955)Time elapsed: 0.005 s
% 1.62/1.66 % (4955)Instructions burned: 8 (million)
% 1.62/1.66 % (4955)------------------------------
% 1.62/1.66 % (4955)------------------------------
% 1.62/1.66 % (4956)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_4701 for (2996ds/1087Mi)
% 1.62/1.67 % (4953)Instruction limit reached!
% 1.62/1.67 % (4953)------------------------------
% 1.62/1.67 % (4953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.67 % (4953)Termination reason: Unknown
% 1.62/1.67 % (4953)Termination phase: Saturation
% 1.62/1.67
% 1.62/1.67 % (4953)Memory used [KB]: 6012
% 1.62/1.67 % (4953)Time elapsed: 0.046 s
% 1.62/1.67 % (4953)Instructions burned: 149 (million)
% 1.62/1.67 % (4953)------------------------------
% 1.62/1.67 % (4953)------------------------------
% 1.62/1.67 % (4957)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_4701 for (2996ds/47Mi)
% 1.62/1.67 % (4958)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_4701 for (2996ds/44Mi)
% 1.62/1.68 % (4959)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_4701 for (2996ds/432Mi)
% 1.62/1.69 % (4958)Instruction limit reached!
% 1.62/1.69 % (4958)------------------------------
% 1.62/1.69 % (4958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.69 % (4958)Termination reason: Unknown
% 1.62/1.69 % (4958)Termination phase: Saturation
% 1.62/1.69
% 1.62/1.69 % (4958)Memory used [KB]: 1279
% 1.62/1.69 % (4958)Time elapsed: 0.017 s
% 1.62/1.69 % (4958)Instructions burned: 45 (million)
% 1.62/1.69 % (4958)------------------------------
% 1.62/1.69 % (4958)------------------------------
% 1.62/1.69 % (4957)Instruction limit reached!
% 1.62/1.69 % (4957)------------------------------
% 1.62/1.69 % (4957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.69 % (4957)Termination reason: Unknown
% 1.62/1.69 % (4957)Termination phase: Saturation
% 1.62/1.69
% 1.62/1.69 % (4957)Memory used [KB]: 5756
% 1.62/1.69 % (4957)Time elapsed: 0.018 s
% 1.62/1.69 % (4957)Instructions burned: 47 (million)
% 1.62/1.69 % (4957)------------------------------
% 1.62/1.69 % (4957)------------------------------
% 1.62/1.70 % (4960)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_4701 for (2995ds/62Mi)
% 1.62/1.70 % (4961)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_4701 for (2995ds/31Mi)
% 1.62/1.70 % (4938)Instruction limit reached!
% 1.62/1.70 % (4938)------------------------------
% 1.62/1.70 % (4938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.70 % (4938)Termination reason: Unknown
% 1.62/1.70 % (4938)Termination phase: Saturation
% 1.62/1.70
% 1.62/1.70 % (4938)Memory used [KB]: 6524
% 1.62/1.70 % (4938)Time elapsed: 0.298 s
% 1.62/1.70 % (4938)Instructions burned: 879 (million)
% 1.62/1.70 % (4938)------------------------------
% 1.62/1.70 % (4938)------------------------------
% 1.62/1.71 % (4962)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_4701 for (2995ds/96Mi)
% 1.62/1.71 % (4961)Instruction limit reached!
% 1.62/1.71 % (4961)------------------------------
% 1.62/1.71 % (4961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.71 % (4961)Termination reason: Unknown
% 1.62/1.71 % (4961)Termination phase: Saturation
% 1.62/1.71
% 1.62/1.71 % (4961)Memory used [KB]: 5628
% 1.62/1.71 % (4961)Time elapsed: 0.013 s
% 1.62/1.71 % (4961)Instructions burned: 32 (million)
% 1.62/1.71 % (4961)------------------------------
% 1.62/1.71 % (4961)------------------------------
% 1.62/1.72 % (4949)Instruction limit reached!
% 1.62/1.72 % (4949)------------------------------
% 1.62/1.72 % (4949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.72 % (4949)Termination reason: Unknown
% 1.62/1.72 % (4949)Termination phase: Saturation
% 1.62/1.72
% 1.62/1.72 % (4949)Memory used [KB]: 6268
% 1.62/1.72 % (4949)Time elapsed: 0.133 s
% 1.62/1.72 % (4949)Instructions burned: 450 (million)
% 1.62/1.72 % (4949)------------------------------
% 1.62/1.72 % (4949)------------------------------
% 1.62/1.72 % (4960)Instruction limit reached!
% 1.62/1.72 % (4960)------------------------------
% 1.62/1.72 % (4960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.72 % (4960)Termination reason: Unknown
% 1.62/1.72 % (4960)Termination phase: Saturation
% 1.62/1.72
% 1.62/1.72 % (4960)Memory used [KB]: 5884
% 1.62/1.72 % (4960)Time elapsed: 0.022 s
% 1.62/1.72 % (4960)Instructions burned: 62 (million)
% 1.62/1.72 % (4960)------------------------------
% 1.62/1.72 % (4960)------------------------------
% 1.62/1.72 % (4963)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_4701 for (2995ds/453Mi)
% 1.62/1.73 % (4964)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_4701 for (2995ds/71Mi)
% 1.62/1.73 % (4965)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_4701 for (2995ds/83Mi)
% 1.62/1.74 % (4962)Instruction limit reached!
% 1.62/1.74 % (4962)------------------------------
% 1.62/1.74 % (4962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.74 % (4962)Termination reason: Unknown
% 1.62/1.74 % (4962)Termination phase: Saturation
% 1.62/1.74
% 1.62/1.74 % (4962)Memory used [KB]: 5756
% 1.62/1.74 % (4962)Time elapsed: 0.034 s
% 1.62/1.74 % (4962)Instructions burned: 96 (million)
% 1.62/1.74 % (4962)------------------------------
% 1.62/1.74 % (4962)------------------------------
% 1.62/1.75 % (4964)Instruction limit reached!
% 1.62/1.75 % (4964)------------------------------
% 1.62/1.75 % (4964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.75 % (4964)Termination reason: Unknown
% 1.62/1.75 % (4964)Termination phase: Saturation
% 1.62/1.75
% 1.62/1.75 % (4964)Memory used [KB]: 5628
% 1.62/1.75 % (4964)Time elapsed: 0.024 s
% 1.62/1.75 % (4964)Instructions burned: 71 (million)
% 1.62/1.75 % (4964)------------------------------
% 1.62/1.75 % (4964)------------------------------
% 1.62/1.75 % (4966)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_4701 for (2995ds/11Mi)
% 1.62/1.75 % (4965)Instruction limit reached!
% 1.62/1.75 % (4965)------------------------------
% 1.62/1.75 % (4965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.75 % (4965)Termination reason: Unknown
% 1.62/1.75 % (4965)Termination phase: Saturation
% 1.62/1.75
% 1.62/1.75 % (4965)Memory used [KB]: 5884
% 1.62/1.75 % (4965)Time elapsed: 0.028 s
% 1.62/1.75 % (4965)Instructions burned: 84 (million)
% 1.62/1.75 % (4965)------------------------------
% 1.62/1.75 % (4965)------------------------------
% 1.62/1.76 % (4966)Instruction limit reached!
% 1.62/1.76 % (4966)------------------------------
% 1.62/1.76 % (4966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.76 % (4966)Termination reason: Unknown
% 1.62/1.76 % (4966)Termination phase: Saturation
% 1.62/1.76
% 1.62/1.76 % (4966)Memory used [KB]: 5500
% 1.62/1.76 % (4966)Time elapsed: 0.006 s
% 1.62/1.76 % (4966)Instructions burned: 13 (million)
% 1.62/1.76 % (4966)------------------------------
% 1.62/1.76 % (4966)------------------------------
% 1.62/1.76 % (4967)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_4701 for (2995ds/41Mi)
% 1.62/1.76 % (4968)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_4701 for (2995ds/6Mi)
% 1.62/1.76 % (4967)Refutation not found, incomplete strategy
% 1.62/1.76 % (4967)------------------------------
% 1.62/1.76 % (4967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.76 % (4967)Termination reason: Refutation not found, incomplete strategy
% 1.62/1.76
% 1.62/1.76
% 1.62/1.76 % (4967)Memory used [KB]: 5500
% 1.62/1.76 % (4967)Time elapsed: 0.006 s
% 1.62/1.76 % (4967)Instructions burned: 16 (million)
% 1.62/1.76 % (4967)------------------------------
% 1.62/1.76 % (4967)------------------------------
% 1.62/1.76 % (4969)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_4701 for (2995ds/150Mi)
% 1.62/1.77 % (4968)Instruction limit reached!
% 1.62/1.77 % (4968)------------------------------
% 1.62/1.77 % (4968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.77 % (4968)Termination reason: Unknown
% 1.62/1.77 % (4968)Termination phase: Saturation
% 1.62/1.77
% 1.62/1.77 % (4968)Memory used [KB]: 5500
% 1.62/1.77 % (4968)Time elapsed: 0.003 s
% 1.62/1.77 % (4968)Instructions burned: 6 (million)
% 1.62/1.77 % (4968)------------------------------
% 1.62/1.77 % (4968)------------------------------
% 1.62/1.77 % (4970)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_4701 for (2995ds/343Mi)
% 1.62/1.77 % (4971)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_4701 for (2995ds/109Mi)
% 1.62/1.78 % (4952)Instruction limit reached!
% 1.62/1.78 % (4952)------------------------------
% 1.62/1.78 % (4952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.78 % (4952)Termination reason: Unknown
% 1.62/1.78 % (4952)Termination phase: Saturation
% 1.62/1.78
% 1.62/1.78 % (4952)Memory used [KB]: 6524
% 1.62/1.78 % (4952)Time elapsed: 0.161 s
% 1.62/1.78 % (4952)Instructions burned: 508 (million)
% 1.62/1.78 % (4952)------------------------------
% 1.62/1.78 % (4952)------------------------------
% 1.62/1.79 % (4972)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_4701 for (2995ds/253Mi)
% 1.62/1.80 % (4959)Instruction limit reached!
% 1.62/1.80 % (4959)------------------------------
% 1.62/1.80 % (4959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.80 % (4959)Termination reason: Unknown
% 1.62/1.80 % (4959)Termination phase: Saturation
% 1.62/1.80
% 1.62/1.80 % (4959)Memory used [KB]: 2814
% 1.62/1.80 % (4959)Time elapsed: 0.123 s
% 1.62/1.80 % (4959)Instructions burned: 434 (million)
% 1.62/1.80 % (4959)------------------------------
% 1.62/1.80 % (4959)------------------------------
% 1.62/1.81 % (4971)Instruction limit reached!
% 1.62/1.81 % (4971)------------------------------
% 1.62/1.81 % (4971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.81 % (4971)Termination reason: Unknown
% 1.62/1.81 % (4971)Termination phase: Saturation
% 1.62/1.81
% 1.62/1.81 % (4971)Memory used [KB]: 6012
% 1.62/1.81 % (4971)Time elapsed: 0.055 s
% 1.62/1.81 % (4971)Instructions burned: 109 (million)
% 1.62/1.81 % (4971)------------------------------
% 1.62/1.81 % (4971)------------------------------
% 1.62/1.81 % (4973)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_4701 for (2994ds/140Mi)
% 1.62/1.81 % (4969)Instruction limit reached!
% 1.62/1.81 % (4969)------------------------------
% 1.62/1.81 % (4969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.81 % (4969)Termination reason: Unknown
% 1.62/1.81 % (4969)Termination phase: Saturation
% 1.62/1.81
% 1.62/1.81 % (4969)Memory used [KB]: 6012
% 1.62/1.81 % (4969)Time elapsed: 0.047 s
% 1.62/1.81 % (4969)Instructions burned: 151 (million)
% 1.62/1.81 % (4969)------------------------------
% 1.62/1.81 % (4969)------------------------------
% 1.62/1.82 % (4974)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_4701 for (2994ds/614Mi)
% 1.62/1.82 % (4975)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_4701 for (2994ds/202Mi)
% 1.62/1.85 % (4963)Instruction limit reached!
% 1.62/1.85 % (4963)------------------------------
% 1.62/1.85 % (4963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.85 % (4963)Termination reason: Unknown
% 1.62/1.85 % (4963)Termination phase: Saturation
% 1.62/1.85
% 1.62/1.85 % (4963)Memory used [KB]: 6012
% 1.62/1.85 % (4963)Time elapsed: 0.132 s
% 1.62/1.85 % (4963)Instructions burned: 453 (million)
% 1.62/1.85 % (4963)------------------------------
% 1.62/1.85 % (4963)------------------------------
% 1.62/1.85 % (4973)Instruction limit reached!
% 1.62/1.85 % (4973)------------------------------
% 1.62/1.85 % (4973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.85 % (4973)Termination reason: Unknown
% 1.62/1.85 % (4973)Termination phase: Saturation
% 1.62/1.85
% 1.62/1.85 % (4973)Memory used [KB]: 5756
% 1.62/1.85 % (4973)Time elapsed: 0.066 s
% 1.62/1.85 % (4973)Instructions burned: 143 (million)
% 1.62/1.85 % (4973)------------------------------
% 1.62/1.85 % (4973)------------------------------
% 1.62/1.86 % (4976)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_4701 for (2994ds/339Mi)
% 1.62/1.86 % (4977)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_4701 for (2994ds/283Mi)
% 1.62/1.87 % (4972)Instruction limit reached!
% 1.62/1.87 % (4972)------------------------------
% 1.62/1.87 % (4972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.87 % (4972)Termination reason: Unknown
% 1.62/1.87 % (4972)Termination phase: Saturation
% 1.62/1.87
% 1.62/1.87 % (4972)Memory used [KB]: 6012
% 1.62/1.87 % (4972)Time elapsed: 0.101 s
% 1.62/1.87 % (4972)Instructions burned: 256 (million)
% 1.62/1.87 % (4972)------------------------------
% 1.62/1.87 % (4972)------------------------------
% 1.62/1.88 % (4970)Instruction limit reached!
% 1.62/1.88 % (4970)------------------------------
% 1.62/1.88 % (4970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.88 % (4970)Termination reason: Unknown
% 1.62/1.88 % (4970)Termination phase: Saturation
% 1.62/1.88
% 1.62/1.88 % (4970)Memory used [KB]: 6140
% 1.62/1.88 % (4970)Time elapsed: 0.126 s
% 1.62/1.88 % (4970)Instructions burned: 345 (million)
% 1.62/1.88 % (4970)------------------------------
% 1.62/1.88 % (4970)------------------------------
% 1.62/1.88 % (4978)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_4701 for (2994ds/134Mi)
% 1.62/1.88 % (4975)Instruction limit reached!
% 1.62/1.88 % (4975)------------------------------
% 1.62/1.88 % (4975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.88 % (4975)Termination reason: Unknown
% 1.62/1.88 % (4975)Termination phase: Saturation
% 1.62/1.88
% 1.62/1.88 % (4975)Memory used [KB]: 6140
% 1.62/1.88 % (4975)Time elapsed: 0.088 s
% 1.62/1.88 % (4975)Instructions burned: 204 (million)
% 1.62/1.88 % (4975)------------------------------
% 1.62/1.88 % (4975)------------------------------
% 1.62/1.89 % (4979)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_4701 for (2993ds/298Mi)
% 1.62/1.89 % (4980)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_4701 for (2993ds/192Mi)
% 1.62/1.92 % (4978)Instruction limit reached!
% 1.62/1.92 % (4978)------------------------------
% 1.62/1.92 % (4978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.92 % (4978)Termination reason: Unknown
% 1.62/1.92 % (4978)Termination phase: Saturation
% 1.62/1.92
% 1.62/1.92 % (4978)Memory used [KB]: 6268
% 1.62/1.92 % (4978)Time elapsed: 0.042 s
% 1.62/1.92 % (4978)Instructions burned: 135 (million)
% 1.62/1.92 % (4978)------------------------------
% 1.62/1.92 % (4978)------------------------------
% 1.62/1.93 % (4981)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_4701 for (2993ds/258Mi)
% 1.62/1.94 % (4977)Instruction limit reached!
% 1.62/1.94 % (4977)------------------------------
% 1.62/1.94 % (4977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.94 % (4977)Termination reason: Unknown
% 1.62/1.94 % (4977)Termination phase: Saturation
% 1.62/1.94
% 1.62/1.94 % (4977)Memory used [KB]: 6908
% 1.62/1.94 % (4977)Time elapsed: 0.106 s
% 1.62/1.94 % (4977)Instructions burned: 286 (million)
% 1.62/1.94 % (4977)------------------------------
% 1.62/1.94 % (4977)------------------------------
% 1.62/1.94 % (4980)Refutation not found, non-redundant clauses discarded% (4980)------------------------------
% 1.62/1.94 % (4980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.94 % (4980)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.62/1.94
% 1.62/1.94 % (4980)Memory used [KB]: 6524
% 1.62/1.94 % (4980)Time elapsed: 0.051 s
% 1.62/1.94 % (4980)Instructions burned: 151 (million)
% 1.62/1.94 % (4980)------------------------------
% 1.62/1.94 % (4980)------------------------------
% 1.62/1.95 % (4982)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_4701 for (2993ds/90Mi)
% 1.62/1.95 % (4983)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_4701 for (2993ds/231Mi)
% 1.62/1.96 % (4976)Instruction limit reached!
% 1.62/1.96 % (4976)------------------------------
% 1.62/1.96 % (4976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.96 % (4976)Termination reason: Unknown
% 1.62/1.96 % (4976)Termination phase: Saturation
% 1.62/1.96
% 1.62/1.96 % (4976)Memory used [KB]: 6268
% 1.62/1.96 % (4976)Time elapsed: 0.127 s
% 1.62/1.96 % (4976)Instructions burned: 339 (million)
% 1.62/1.96 % (4976)------------------------------
% 1.62/1.96 % (4976)------------------------------
% 1.62/1.97 % (4984)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_4701 for (2993ds/458Mi)
% 1.62/1.98 % (4979)Instruction limit reached!
% 1.62/1.98 % (4979)------------------------------
% 1.62/1.98 % (4979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.98 % (4979)Termination reason: Unknown
% 1.62/1.98 % (4979)Termination phase: Saturation
% 1.62/1.98
% 1.62/1.98 % (4979)Memory used [KB]: 6268
% 1.62/1.98 % (4979)Time elapsed: 0.091 s
% 1.62/1.98 % (4979)Instructions burned: 298 (million)
% 1.62/1.98 % (4979)------------------------------
% 1.62/1.98 % (4979)------------------------------
% 1.62/1.98 % (4982)Instruction limit reached!
% 1.62/1.98 % (4982)------------------------------
% 1.62/1.98 % (4982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.98 % (4982)Termination reason: Unknown
% 1.62/1.98 % (4982)Termination phase: Saturation
% 1.62/1.98
% 1.62/1.98 % (4982)Memory used [KB]: 5884
% 1.62/1.98 % (4982)Time elapsed: 0.030 s
% 1.62/1.98 % (4982)Instructions burned: 90 (million)
% 1.62/1.98 % (4982)------------------------------
% 1.62/1.98 % (4982)------------------------------
% 1.62/1.99 % (4985)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_4701 for (2992ds/31Mi)
% 1.62/1.99 % (4956)Instruction limit reached!
% 1.62/1.99 % (4956)------------------------------
% 1.62/1.99 % (4956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.99 % (4956)Termination reason: Unknown
% 1.62/1.99 % (4956)Termination phase: Saturation
% 1.62/1.99
% 1.62/1.99 % (4956)Memory used [KB]: 7036
% 1.62/1.99 % (4956)Time elapsed: 0.324 s
% 1.62/1.99 % (4956)Instructions burned: 1088 (million)
% 1.62/1.99 % (4956)------------------------------
% 1.62/1.99 % (4956)------------------------------
% 1.62/1.99 % (4986)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_4701 for (2992ds/297Mi)
% 1.62/2.00 % (4985)Instruction limit reached!
% 1.62/2.00 % (4985)------------------------------
% 1.62/2.00 % (4985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/2.00 % (4985)Termination reason: Unknown
% 1.62/2.00 % (4985)Termination phase: Saturation
% 1.62/2.00
% 1.62/2.00 % (4985)Memory used [KB]: 5628
% 1.62/2.00 % (4985)Time elapsed: 0.011 s
% 1.62/2.00 % (4985)Instructions burned: 32 (million)
% 1.62/2.00 % (4985)------------------------------
% 1.62/2.00 % (4985)------------------------------
% 1.62/2.00 % (4987)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_4701 for (2992ds/987Mi)
% 1.62/2.00 % (4974)Instruction limit reached!
% 1.62/2.00 % (4974)------------------------------
% 1.62/2.00 % (4974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/2.00 % (4974)Termination reason: Unknown
% 1.62/2.00 % (4974)Termination phase: Saturation
% 1.62/2.00
% 1.62/2.00 % (4974)Memory used [KB]: 6268
% 1.62/2.00 % (4974)Time elapsed: 0.207 s
% 1.62/2.00 % (4974)Instructions burned: 616 (million)
% 1.62/2.00 % (4974)------------------------------
% 1.62/2.00 % (4974)------------------------------
% 1.62/2.00 % (4988)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_4701 for (2992ds/182Mi)
% 1.62/2.01 % (4981)Instruction limit reached!
% 1.62/2.01 % (4981)------------------------------
% 1.62/2.01 % (4981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/2.01 % (4981)Termination reason: Unknown
% 1.62/2.01 % (4981)Termination phase: Saturation
% 1.62/2.01
% 1.62/2.01 % (4981)Memory used [KB]: 6140
% 1.62/2.01 % (4981)Time elapsed: 0.078 s
% 1.62/2.01 % (4981)Instructions burned: 258 (million)
% 1.62/2.01 % (4981)------------------------------
% 1.62/2.01 % (4981)------------------------------
% 1.62/2.01 % (4989)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_4701 for (2992ds/182Mi)
% 6.71/2.01 % (4990)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_4701 for (2992ds/154Mi)
% 6.71/2.03 % (4983)Instruction limit reached!
% 6.71/2.03 % (4983)------------------------------
% 6.71/2.03 % (4983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.03 % (4983)Termination reason: Unknown
% 6.71/2.03 % (4983)Termination phase: Saturation
% 6.71/2.03
% 6.71/2.03 % (4983)Memory used [KB]: 6140
% 6.71/2.03 % (4983)Time elapsed: 0.077 s
% 6.71/2.03 % (4983)Instructions burned: 231 (million)
% 6.71/2.03 % (4983)------------------------------
% 6.71/2.03 % (4983)------------------------------
% 6.71/2.04 % (4991)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_4701 for (2992ds/79Mi)
% 6.71/2.06 % (4988)Instruction limit reached!
% 6.71/2.06 % (4988)------------------------------
% 6.71/2.06 % (4988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.06 % (4988)Termination reason: Unknown
% 6.71/2.06 % (4988)Termination phase: Saturation
% 6.71/2.06
% 6.71/2.06 % (4988)Memory used [KB]: 6268
% 6.71/2.06 % (4988)Time elapsed: 0.053 s
% 6.71/2.06 % (4988)Instructions burned: 183 (million)
% 6.71/2.06 % (4988)------------------------------
% 6.71/2.06 % (4988)------------------------------
% 6.71/2.06 % (4990)Instruction limit reached!
% 6.71/2.06 % (4990)------------------------------
% 6.71/2.06 % (4990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.06 % (4990)Termination reason: Unknown
% 6.71/2.06 % (4990)Termination phase: Saturation
% 6.71/2.06
% 6.71/2.06 % (4990)Memory used [KB]: 6140
% 6.71/2.06 % (4990)Time elapsed: 0.048 s
% 6.71/2.06 % (4990)Instructions burned: 156 (million)
% 6.71/2.06 % (4990)------------------------------
% 6.71/2.06 % (4990)------------------------------
% 6.71/2.07 % (4991)Instruction limit reached!
% 6.71/2.07 % (4991)------------------------------
% 6.71/2.07 % (4991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.07 % (4991)Termination reason: Unknown
% 6.71/2.07 % (4991)Termination phase: Saturation
% 6.71/2.07
% 6.71/2.07 % (4991)Memory used [KB]: 5756
% 6.71/2.07 % (4991)Time elapsed: 0.028 s
% 6.71/2.07 % (4991)Instructions burned: 82 (million)
% 6.71/2.07 % (4991)------------------------------
% 6.71/2.07 % (4991)------------------------------
% 6.71/2.07 % (4992)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_4701 for (2992ds/216Mi)
% 6.71/2.07 % (4989)Instruction limit reached!
% 6.71/2.07 % (4989)------------------------------
% 6.71/2.07 % (4989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.07 % (4989)Termination reason: Unknown
% 6.71/2.07 % (4989)Termination phase: Saturation
% 6.71/2.07
% 6.71/2.07 % (4989)Memory used [KB]: 5884
% 6.71/2.07 % (4989)Time elapsed: 0.058 s
% 6.71/2.07 % (4989)Instructions burned: 184 (million)
% 6.71/2.07 % (4989)------------------------------
% 6.71/2.07 % (4989)------------------------------
% 6.71/2.07 % (4993)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_4701 for (2992ds/114Mi)
% 6.71/2.08 % (4994)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_4701 for (2992ds/922Mi)
% 6.71/2.08 % (4995)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_4701 for (2992ds/182Mi)
% 6.71/2.08 % (4986)Instruction limit reached!
% 6.71/2.08 % (4986)------------------------------
% 6.71/2.08 % (4986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.08 % (4986)Termination reason: Unknown
% 6.71/2.08 % (4986)Termination phase: Saturation
% 6.71/2.08
% 6.71/2.08 % (4986)Memory used [KB]: 6140
% 6.71/2.08 % (4986)Time elapsed: 0.090 s
% 6.71/2.08 % (4986)Instructions burned: 299 (million)
% 6.71/2.08 % (4986)------------------------------
% 6.71/2.08 % (4986)------------------------------
% 6.71/2.09 % (4996)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_4701 for (2991ds/164Mi)
% 6.71/2.10 % (4993)Instruction limit reached!
% 6.71/2.10 % (4993)------------------------------
% 6.71/2.10 % (4993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.10 % (4993)Termination reason: Unknown
% 6.71/2.10 % (4993)Termination phase: Saturation
% 6.71/2.10
% 6.71/2.10 % (4993)Memory used [KB]: 6524
% 6.71/2.10 % (4993)Time elapsed: 0.034 s
% 6.71/2.10 % (4993)Instructions burned: 116 (million)
% 6.71/2.10 % (4993)------------------------------
% 6.71/2.10 % (4993)------------------------------
% 6.71/2.11 % (4984)Instruction limit reached!
% 6.71/2.11 % (4984)------------------------------
% 6.71/2.11 % (4984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.71/2.11 % (4984)Termination reason: Unknown
% 6.71/2.11 % (4984)Termination phase: Saturation
% 6.71/2.11
% 6.71/2.11 % (4984)Memory used [KB]: 6268
% 6.71/2.11 % (4984)Time elapsed: 0.137 s
% 6.71/2.11 % (4984)Instructions burned: 458 (million)
% 6.71/2.11 % (4984)------------------------------
% 6.71/2.11 % (4984)------------------------------
% 7.28/2.11 % (4997)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_4701 for (2991ds/50Mi)
% 7.28/2.12 % (4998)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_4701 for (2991ds/368Mi)
% 7.28/2.13 % (4997)Instruction limit reached!
% 7.28/2.13 % (4997)------------------------------
% 7.28/2.13 % (4997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.13 % (4997)Termination reason: Unknown
% 7.28/2.13 % (4997)Termination phase: Saturation
% 7.28/2.13
% 7.28/2.13 % (4997)Memory used [KB]: 10618
% 7.28/2.13 % (4997)Time elapsed: 0.016 s
% 7.28/2.13 % (4997)Instructions burned: 51 (million)
% 7.28/2.13 % (4997)------------------------------
% 7.28/2.13 % (4997)------------------------------
% 7.28/2.13 % (4992)Instruction limit reached!
% 7.28/2.13 % (4992)------------------------------
% 7.28/2.13 % (4992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.13 % (4992)Termination reason: Unknown
% 7.28/2.13 % (4992)Termination phase: Saturation
% 7.28/2.13
% 7.28/2.13 % (4992)Memory used [KB]: 6268
% 7.28/2.13 % (4992)Time elapsed: 0.066 s
% 7.28/2.13 % (4992)Instructions burned: 217 (million)
% 7.28/2.13 % (4992)------------------------------
% 7.28/2.13 % (4992)------------------------------
% 7.28/2.13 % (4995)Instruction limit reached!
% 7.28/2.13 % (4995)------------------------------
% 7.28/2.13 % (4995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.13 % (4995)Termination reason: Unknown
% 7.28/2.13 % (4995)Termination phase: Saturation
% 7.28/2.13
% 7.28/2.13 % (4995)Memory used [KB]: 5756
% 7.28/2.13 % (4995)Time elapsed: 0.056 s
% 7.28/2.13 % (4995)Instructions burned: 183 (million)
% 7.28/2.13 % (4995)------------------------------
% 7.28/2.13 % (4995)------------------------------
% 7.28/2.14 % (4999)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_4701 for (2991ds/1021Mi)
% 7.28/2.14 % (4996)Instruction limit reached!
% 7.28/2.14 % (4996)------------------------------
% 7.28/2.14 % (4996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.14 % (4996)Termination reason: Unknown
% 7.28/2.14 % (4996)Termination phase: Saturation
% 7.28/2.14
% 7.28/2.14 % (4996)Memory used [KB]: 1407
% 7.28/2.14 % (4996)Time elapsed: 0.052 s
% 7.28/2.14 % (4996)Instructions burned: 164 (million)
% 7.28/2.14 % (4996)------------------------------
% 7.28/2.14 % (4996)------------------------------
% 7.28/2.14 % (5000)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_4701 for (2991ds/267Mi)
% 7.28/2.14 % (5001)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_4701 for (2991ds/204Mi)
% 7.28/2.15 % (5002)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_4701 for (2991ds/26Mi)
% 7.28/2.16 % (5002)Instruction limit reached!
% 7.28/2.16 % (5002)------------------------------
% 7.28/2.16 % (5002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.16 % (5002)Termination reason: Unknown
% 7.28/2.16 % (5002)Termination phase: Saturation
% 7.28/2.16
% 7.28/2.16 % (5002)Memory used [KB]: 5628
% 7.28/2.16 % (5002)Time elapsed: 0.009 s
% 7.28/2.16 % (5002)Instructions burned: 26 (million)
% 7.28/2.16 % (5002)------------------------------
% 7.28/2.16 % (5002)------------------------------
% 7.28/2.17 % (5003)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_4701 for (2991ds/53Mi)
% 7.28/2.18 % (5003)Instruction limit reached!
% 7.28/2.18 % (5003)------------------------------
% 7.28/2.18 % (5003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.18 % (5003)Termination reason: Unknown
% 7.28/2.18 % (5003)Termination phase: Saturation
% 7.28/2.18
% 7.28/2.18 % (5003)Memory used [KB]: 6140
% 7.28/2.18 % (5003)Time elapsed: 0.016 s
% 7.28/2.18 % (5003)Instructions burned: 54 (million)
% 7.28/2.18 % (5003)------------------------------
% 7.28/2.18 % (5003)------------------------------
% 7.28/2.19 % (5004)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_4701 for (2991ds/4436Mi)
% 7.62/2.20 % (5001)Instruction limit reached!
% 7.62/2.20 % (5001)------------------------------
% 7.62/2.20 % (5001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.20 % (5001)Termination reason: Unknown
% 7.62/2.20 % (5001)Termination phase: Saturation
% 7.62/2.20
% 7.62/2.20 % (5001)Memory used [KB]: 5884
% 7.62/2.20 % (5001)Time elapsed: 0.065 s
% 7.62/2.20 % (5001)Instructions burned: 206 (million)
% 7.62/2.20 % (5001)------------------------------
% 7.62/2.20 % (5001)------------------------------
% 7.62/2.21 % (5005)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_4701 for (2990ds/1539Mi)
% 7.62/2.22 % (5000)Instruction limit reached!
% 7.62/2.22 % (5000)------------------------------
% 7.62/2.22 % (5000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.22 % (5000)Termination reason: Unknown
% 7.62/2.22 % (5000)Termination phase: Saturation
% 7.62/2.22
% 7.62/2.22 % (5000)Memory used [KB]: 6012
% 7.62/2.22 % (5000)Time elapsed: 0.082 s
% 7.62/2.22 % (5000)Instructions burned: 268 (million)
% 7.62/2.22 % (5000)------------------------------
% 7.62/2.22 % (5000)------------------------------
% 7.62/2.23 % (4998)Instruction limit reached!
% 7.62/2.23 % (4998)------------------------------
% 7.62/2.23 % (4998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.23 % (4998)Termination reason: Unknown
% 7.62/2.23 % (4998)Termination phase: Saturation
% 7.62/2.23
% 7.62/2.23 % (4998)Memory used [KB]: 6652
% 7.62/2.23 % (4998)Time elapsed: 0.115 s
% 7.62/2.23 % (4998)Instructions burned: 370 (million)
% 7.62/2.23 % (4998)------------------------------
% 7.62/2.23 % (4998)------------------------------
% 7.62/2.23 % (5006)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_4701 for (2990ds/408Mi)
% 7.62/2.24 % (5007)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_4701 for (2990ds/5205Mi)
% 8.02/2.34 % (4987)Instruction limit reached!
% 8.02/2.34 % (4987)------------------------------
% 8.02/2.34 % (4987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.34 % (4987)Termination reason: Unknown
% 8.02/2.34 % (4987)Termination phase: Saturation
% 8.02/2.34
% 8.02/2.34 % (4987)Memory used [KB]: 6524
% 8.02/2.34 % (4987)Time elapsed: 0.349 s
% 8.02/2.34 % (4987)Instructions burned: 987 (million)
% 8.02/2.34 % (4987)------------------------------
% 8.02/2.34 % (4987)------------------------------
% 8.02/2.35 % (4994)Instruction limit reached!
% 8.02/2.35 % (4994)------------------------------
% 8.02/2.35 % (4994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.35 % (4994)Termination reason: Unknown
% 8.02/2.35 % (4994)Termination phase: Saturation
% 8.02/2.35
% 8.02/2.35 % (4994)Memory used [KB]: 6908
% 8.02/2.35 % (4994)Time elapsed: 0.272 s
% 8.02/2.35 % (4994)Instructions burned: 925 (million)
% 8.02/2.35 % (4994)------------------------------
% 8.02/2.35 % (4994)------------------------------
% 8.02/2.35 % (5006)Refutation not found, non-redundant clauses discarded% (5006)------------------------------
% 8.02/2.35 % (5006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.35 % (5006)Termination reason: Refutation not found, non-redundant clauses discarded
% 8.02/2.35
% 8.02/2.35 % (5006)Memory used [KB]: 6396
% 8.02/2.35 % (5006)Time elapsed: 0.123 s
% 8.02/2.35 % (5006)Instructions burned: 406 (million)
% 8.02/2.35 % (5006)------------------------------
% 8.02/2.35 % (5006)------------------------------
% 8.02/2.35 % (5008)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_4701 for (2989ds/1913Mi)
% 8.02/2.36 % (5009)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_4701 for (2989ds/4350Mi)
% 8.02/2.36 % (5010)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_4701 for (2989ds/68Mi)
% 8.02/2.38 % (5010)Instruction limit reached!
% 8.02/2.38 % (5010)------------------------------
% 8.02/2.38 % (5010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.38 % (5010)Termination reason: Unknown
% 8.02/2.38 % (5010)Termination phase: Saturation
% 8.02/2.38
% 8.02/2.38 % (5010)Memory used [KB]: 5884
% 8.02/2.38 % (5010)Time elapsed: 0.043 s
% 8.02/2.38 % (5010)Instructions burned: 69 (million)
% 8.02/2.38 % (5010)------------------------------
% 8.02/2.38 % (5010)------------------------------
% 8.02/2.39 % (5011)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_4701 for (2988ds/358Mi)
% 8.52/2.44 % (4999)Instruction limit reached!
% 8.52/2.44 % (4999)------------------------------
% 8.52/2.44 % (4999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.52/2.44 % (4999)Termination reason: Unknown
% 8.52/2.44 % (4999)Termination phase: Saturation
% 8.52/2.44
% 8.52/2.44 % (4999)Memory used [KB]: 6908
% 8.52/2.44 % (4999)Time elapsed: 0.305 s
% 8.52/2.44 % (4999)Instructions burned: 1023 (million)
% 8.52/2.44 % (4999)------------------------------
% 8.52/2.44 % (4999)------------------------------
% 8.52/2.45 % (5013)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_4701 for (2988ds/31Mi)
% 8.52/2.46 % (5013)Instruction limit reached!
% 8.52/2.46 % (5013)------------------------------
% 8.52/2.46 % (5013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.52/2.46 % (5013)Termination reason: Unknown
% 8.52/2.46 % (5013)Termination phase: Saturation
% 8.52/2.46
% 8.52/2.46 % (5013)Memory used [KB]: 5628
% 8.52/2.46 % (5013)Time elapsed: 0.012 s
% 8.52/2.46 % (5013)Instructions burned: 33 (million)
% 8.52/2.46 % (5013)------------------------------
% 8.52/2.46 % (5013)------------------------------
% 8.52/2.47 % (5014)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_4701 for (2988ds/279Mi)
% 8.86/2.50 % (5011)Instruction limit reached!
% 8.86/2.50 % (5011)------------------------------
% 8.86/2.50 % (5011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.50 % (5011)Termination reason: Unknown
% 8.86/2.50 % (5011)Termination phase: Saturation
% 8.86/2.50
% 8.86/2.50 % (5011)Memory used [KB]: 6012
% 8.86/2.50 % (5011)Time elapsed: 0.109 s
% 8.86/2.50 % (5011)Instructions burned: 361 (million)
% 8.86/2.50 % (5011)------------------------------
% 8.86/2.50 % (5011)------------------------------
% 8.86/2.51 % (5015)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_4701 for (2987ds/258Mi)
% 8.86/2.55 % (5014)Instruction limit reached!
% 8.86/2.55 % (5014)------------------------------
% 8.86/2.55 % (5014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.55 % (5014)Termination reason: Unknown
% 8.86/2.55 % (5014)Termination phase: Saturation
% 8.86/2.55
% 8.86/2.55 % (5014)Memory used [KB]: 6140
% 8.86/2.55 % (5014)Time elapsed: 0.084 s
% 8.86/2.55 % (5014)Instructions burned: 281 (million)
% 8.86/2.55 % (5014)------------------------------
% 8.86/2.55 % (5014)------------------------------
% 8.86/2.56 % (5016)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_4701 for (2987ds/26Mi)
% 8.86/2.57 % (5016)Instruction limit reached!
% 8.86/2.57 % (5016)------------------------------
% 8.86/2.57 % (5016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.57 % (5016)Termination reason: Unknown
% 8.86/2.57 % (5016)Termination phase: Saturation
% 8.86/2.57
% 8.86/2.57 % (5016)Memory used [KB]: 5628
% 8.86/2.57 % (5016)Time elapsed: 0.009 s
% 8.86/2.57 % (5016)Instructions burned: 26 (million)
% 8.86/2.57 % (5016)------------------------------
% 8.86/2.57 % (5016)------------------------------
% 8.86/2.58 % (5017)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_4701 for (2986ds/995Mi)
% 8.86/2.58 % (5017)Refutation not found, incomplete strategy
% 8.86/2.58 % (5017)------------------------------
% 8.86/2.58 % (5017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.58 % (5017)Termination reason: Refutation not found, incomplete strategy
% 8.86/2.58
% 8.86/2.58
% 8.86/2.58 % (5017)Memory used [KB]: 5500
% 8.86/2.58 % (5017)Time elapsed: 0.004 s
% 8.86/2.58 % (5017)Instructions burned: 8 (million)
% 8.86/2.58 % (5017)------------------------------
% 8.86/2.58 % (5017)------------------------------
% 8.86/2.59 % (5015)Instruction limit reached!
% 8.86/2.59 % (5015)------------------------------
% 8.86/2.59 % (5015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.86/2.59 % (5015)Termination reason: Unknown
% 8.86/2.59 % (5015)Termination phase: Saturation
% 8.86/2.59
% 8.86/2.59 % (5015)Memory used [KB]: 6140
% 8.86/2.59 % (5015)Time elapsed: 0.078 s
% 8.86/2.59 % (5015)Instructions burned: 261 (million)
% 8.86/2.59 % (5015)------------------------------
% 8.86/2.59 % (5015)------------------------------
% 8.86/2.59 % (5018)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_4701 for (2986ds/373Mi)
% 9.18/2.60 % (5019)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_4701 for (2986ds/253Mi)
% 9.18/2.67 % (5019)Instruction limit reached!
% 9.18/2.67 % (5019)------------------------------
% 9.18/2.67 % (5019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.18/2.67 % (5019)Termination reason: Unknown
% 9.18/2.67 % (5019)Termination phase: Saturation
% 9.18/2.67
% 9.18/2.67 % (5019)Memory used [KB]: 6140
% 9.18/2.67 % (5019)Time elapsed: 0.075 s
% 9.18/2.67 % (5019)Instructions burned: 253 (million)
% 9.18/2.67 % (5019)------------------------------
% 9.18/2.67 % (5019)------------------------------
% 9.18/2.67 % (5005)Instruction limit reached!
% 9.18/2.67 % (5005)------------------------------
% 9.18/2.67 % (5005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.18/2.67 % (5005)Termination reason: Unknown
% 9.18/2.67 % (5005)Termination phase: Saturation
% 9.18/2.67
% 9.18/2.67 % (5005)Memory used [KB]: 7803
% 9.18/2.67 % (5005)Time elapsed: 0.459 s
% 9.18/2.67 % (5005)Instructions burned: 1539 (million)
% 9.18/2.67 % (5005)------------------------------
% 9.18/2.67 % (5005)------------------------------
% 9.18/2.68 % (5020)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_4701 for (2985ds/832Mi)
% 9.18/2.68 % (5021)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_4701 for (2985ds/668Mi)
% 9.73/2.71 % (5018)Instruction limit reached!
% 9.73/2.71 % (5018)------------------------------
% 9.73/2.71 % (5018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.73/2.71 % (5018)Termination reason: Unknown
% 9.73/2.71 % (5018)Termination phase: Saturation
% 9.73/2.71
% 9.73/2.71 % (5018)Memory used [KB]: 6524
% 9.73/2.71 % (5018)Time elapsed: 0.113 s
% 9.73/2.71 % (5018)Instructions burned: 374 (million)
% 9.73/2.71 % (5018)------------------------------
% 9.73/2.71 % (5018)------------------------------
% 9.73/2.72 % (5022)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_4701 for (2985ds/40Mi)
% 9.73/2.73 % (5022)Instruction limit reached!
% 9.73/2.73 % (5022)------------------------------
% 9.73/2.73 % (5022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.73/2.73 % (5022)Termination reason: Unknown
% 9.73/2.73 % (5022)Termination phase: Saturation
% 9.73/2.73
% 9.73/2.73 % (5022)Memory used [KB]: 5884
% 9.73/2.73 % (5022)Time elapsed: 0.013 s
% 9.73/2.73 % (5022)Instructions burned: 43 (million)
% 9.73/2.73 % (5022)------------------------------
% 9.73/2.73 % (5022)------------------------------
% 9.73/2.74 % (5023)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_4701 for (2985ds/294Mi)
% 9.87/2.83 % (5023)Instruction limit reached!
% 9.87/2.83 % (5023)------------------------------
% 9.87/2.83 % (5023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.87/2.83 % (5023)Termination reason: Unknown
% 9.87/2.83 % (5023)Termination phase: Saturation
% 9.87/2.83
% 9.87/2.83 % (5023)Memory used [KB]: 6396
% 9.87/2.83 % (5023)Time elapsed: 0.091 s
% 9.87/2.83 % (5023)Instructions burned: 296 (million)
% 9.87/2.83 % (5023)------------------------------
% 9.87/2.83 % (5023)------------------------------
% 9.87/2.84 % (5024)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_4701 for (2984ds/187Mi)
% 9.87/2.84 % (5008)Instruction limit reached!
% 9.87/2.84 % (5008)------------------------------
% 9.87/2.84 % (5008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.87/2.84 % (5008)Termination reason: Unknown
% 9.87/2.84 % (5008)Termination phase: Saturation
% 9.87/2.84
% 9.87/2.84 % (5008)Memory used [KB]: 1791
% 9.87/2.84 % (5008)Time elapsed: 0.491 s
% 9.87/2.84 % (5008)Instructions burned: 1914 (million)
% 9.87/2.84 % (5008)------------------------------
% 9.87/2.84 % (5008)------------------------------
% 9.87/2.85 % (5025)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_4701 for (2984ds/371Mi)
% 9.87/2.89 % (5021)Instruction limit reached!
% 9.87/2.89 % (5021)------------------------------
% 9.87/2.89 % (5021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.87/2.89 % (5021)Termination reason: Unknown
% 9.87/2.89 % (5021)Termination phase: Saturation
% 9.87/2.89
% 9.87/2.89 % (5021)Memory used [KB]: 11769
% 9.87/2.89 % (5021)Time elapsed: 0.210 s
% 9.87/2.89 % (5021)Instructions burned: 669 (million)
% 9.87/2.89 % (5021)------------------------------
% 9.87/2.89 % (5021)------------------------------
% 9.87/2.89 % (5024)Instruction limit reached!
% 9.87/2.89 % (5024)------------------------------
% 9.87/2.89 % (5024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.87/2.89 % (5024)Termination reason: Unknown
% 9.87/2.89 % (5024)Termination phase: Saturation
% 9.87/2.89
% 9.87/2.89 % (5024)Memory used [KB]: 6652
% 9.87/2.89 % (5024)Time elapsed: 0.056 s
% 9.87/2.89 % (5024)Instructions burned: 189 (million)
% 9.87/2.89 % (5024)------------------------------
% 9.87/2.89 % (5024)------------------------------
% 10.77/2.90 % (5026)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_4701 for (2983ds/1827Mi)
% 10.77/2.90 % (5027)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_4701 for (2983ds/70Mi)
% 10.77/2.92 % (5027)Instruction limit reached!
% 10.77/2.92 % (5027)------------------------------
% 10.77/2.92 % (5027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.77/2.92 % (5027)Termination reason: Unknown
% 10.77/2.92 % (5027)Termination phase: Saturation
% 10.77/2.92
% 10.77/2.92 % (5027)Memory used [KB]: 1663
% 10.77/2.92 % (5027)Time elapsed: 0.021 s
% 10.77/2.92 % (5027)Instructions burned: 73 (million)
% 10.77/2.92 % (5027)------------------------------
% 10.77/2.92 % (5027)------------------------------
% 10.77/2.92 % (5020)Instruction limit reached!
% 10.77/2.92 % (5020)------------------------------
% 10.77/2.92 % (5020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.77/2.92 % (5020)Termination reason: Unknown
% 10.77/2.92 % (5020)Termination phase: Saturation
% 10.77/2.92
% 10.77/2.92 % (5020)Memory used [KB]: 6652
% 10.77/2.92 % (5020)Time elapsed: 0.244 s
% 10.77/2.92 % (5020)Instructions burned: 835 (million)
% 10.77/2.92 % (5020)------------------------------
% 10.77/2.92 % (5020)------------------------------
% 10.77/2.93 % (5028)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_4701 for (2983ds/316Mi)
% 10.77/2.93 % (5029)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_4701 for (2983ds/932Mi)
% 10.77/2.96 % (5025)Instruction limit reached!
% 10.77/2.96 % (5025)------------------------------
% 10.77/2.96 % (5025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.77/2.96 % (5025)Termination reason: Unknown
% 10.77/2.96 % (5025)Termination phase: Saturation
% 10.77/2.96
% 10.77/2.96 % (5025)Memory used [KB]: 6140
% 10.77/2.96 % (5025)Time elapsed: 0.110 s
% 10.77/2.96 % (5025)Instructions burned: 371 (million)
% 10.77/2.96 % (5025)------------------------------
% 10.77/2.96 % (5025)------------------------------
% 10.77/2.97 % (5030)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_4701 for (2983ds/4714Mi)
% 10.77/3.02 % (5028)Instruction limit reached!
% 10.77/3.02 % (5028)------------------------------
% 10.77/3.02 % (5028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.77/3.02 % (5028)Termination reason: Unknown
% 10.77/3.02 % (5028)Termination phase: Saturation
% 10.77/3.02
% 10.77/3.02 % (5028)Memory used [KB]: 6908
% 10.77/3.02 % (5028)Time elapsed: 0.092 s
% 10.77/3.02 % (5028)Instructions burned: 317 (million)
% 10.77/3.02 % (5028)------------------------------
% 10.77/3.02 % (5028)------------------------------
% 13.79/3.03 % (5031)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_4701 for (2982ds/8250Mi)
% 14.88/3.20 % (5029)Instruction limit reached!
% 14.88/3.20 % (5029)------------------------------
% 14.88/3.20 % (5029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.88/3.20 % (5029)Termination reason: Unknown
% 14.88/3.20 % (5029)Termination phase: Saturation
% 14.88/3.20
% 14.88/3.20 % (5029)Memory used [KB]: 8827
% 14.88/3.20 % (5029)Time elapsed: 0.271 s
% 14.88/3.20 % (5029)Instructions burned: 933 (million)
% 14.88/3.20 % (5029)------------------------------
% 14.88/3.20 % (5029)------------------------------
% 14.88/3.21 % (5032)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_4701 for (2980ds/770Mi)
% 15.89/3.44 % (5026)Instruction limit reached!
% 15.89/3.44 % (5026)------------------------------
% 15.89/3.44 % (5026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.44 % (5026)Termination reason: Unknown
% 15.89/3.44 % (5026)Termination phase: Saturation
% 15.89/3.44
% 15.89/3.44 % (5026)Memory used [KB]: 7291
% 15.89/3.44 % (5026)Time elapsed: 0.537 s
% 15.89/3.44 % (5026)Instructions burned: 1828 (million)
% 15.89/3.44 % (5026)------------------------------
% 15.89/3.44 % (5026)------------------------------
% 15.89/3.45 % (5033)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_4701 for (2978ds/794Mi)
% 15.89/3.45 % (5004)Instruction limit reached!
% 15.89/3.45 % (5004)------------------------------
% 15.89/3.45 % (5004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.45 % (5004)Termination reason: Unknown
% 15.89/3.45 % (5004)Termination phase: Saturation
% 15.89/3.45
% 15.89/3.45 % (5004)Memory used [KB]: 9338
% 15.89/3.45 % (5004)Time elapsed: 1.257 s
% 15.89/3.45 % (5004)Instructions burned: 4436 (million)
% 15.89/3.45 % (5004)------------------------------
% 15.89/3.45 % (5004)------------------------------
% 15.89/3.45 % (5032)Instruction limit reached!
% 15.89/3.45 % (5032)------------------------------
% 15.89/3.45 % (5032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.89/3.45 % (5032)Termination reason: Unknown
% 15.89/3.45 % (5032)Termination phase: Saturation
% 15.89/3.45
% 15.89/3.45 % (5032)Memory used [KB]: 6780
% 15.89/3.45 % (5032)Time elapsed: 0.237 s
% 15.89/3.45 % (5032)Instructions burned: 771 (million)
% 15.89/3.45 % (5032)------------------------------
% 15.89/3.45 % (5032)------------------------------
% 15.89/3.46 % (5034)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_4701 for (2978ds/464Mi)
% 15.89/3.46 % (5035)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_4701 for (2978ds/1376Mi)
% 16.54/3.54 % (5007)Instruction limit reached!
% 16.54/3.54 % (5007)------------------------------
% 16.54/3.54 % (5007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.54/3.54 % (5007)Termination reason: Unknown
% 16.54/3.54 % (5007)Termination phase: Saturation
% 16.54/3.54
% 16.54/3.54 % (5007)Memory used [KB]: 8827
% 16.54/3.54 % (5007)Time elapsed: 1.305 s
% 16.54/3.54 % (5007)Instructions burned: 5206 (million)
% 16.54/3.54 % (5007)------------------------------
% 16.54/3.54 % (5007)------------------------------
% 16.54/3.55 % (5036)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_4701 for (2977ds/906Mi)
% 16.54/3.59 % (5034)Instruction limit reached!
% 16.54/3.59 % (5034)------------------------------
% 16.54/3.59 % (5034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.54/3.59 % (5034)Termination reason: Unknown
% 16.54/3.59 % (5034)Termination phase: Saturation
% 16.54/3.59
% 16.54/3.59 % (5034)Memory used [KB]: 6396
% 16.54/3.59 % (5034)Time elapsed: 0.136 s
% 16.54/3.59 % (5034)Instructions burned: 467 (million)
% 16.54/3.59 % (5034)------------------------------
% 16.54/3.59 % (5034)------------------------------
% 16.93/3.60 % (5037)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_4701 for (2976ds/434Mi)
% 16.93/3.60 % (5009)Instruction limit reached!
% 16.93/3.60 % (5009)------------------------------
% 16.93/3.60 % (5009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.93/3.60 % (5009)Termination reason: Unknown
% 16.93/3.60 % (5009)Termination phase: Saturation
% 16.93/3.60
% 16.93/3.60 % (5009)Memory used [KB]: 9083
% 16.93/3.60 % (5009)Time elapsed: 1.269 s
% 16.93/3.60 % (5009)Instructions burned: 4352 (million)
% 16.93/3.60 % (5009)------------------------------
% 16.93/3.60 % (5009)------------------------------
% 16.93/3.61 % (5038)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_4701 for (2976ds/865Mi)
% 16.93/3.68 % (5033)Instruction limit reached!
% 16.93/3.68 % (5033)------------------------------
% 16.93/3.68 % (5033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.93/3.68 % (5033)Termination reason: Unknown
% 16.93/3.68 % (5033)Termination phase: Saturation
% 16.93/3.68
% 16.93/3.68 % (5033)Memory used [KB]: 2942
% 16.93/3.68 % (5033)Time elapsed: 0.240 s
% 16.93/3.68 % (5033)Instructions burned: 795 (million)
% 16.93/3.68 % (5033)------------------------------
% 16.93/3.68 % (5033)------------------------------
% 16.93/3.69 % (5039)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_4701 for (2975ds/593Mi)
% 17.30/3.73 % (5037)Instruction limit reached!
% 17.30/3.73 % (5037)------------------------------
% 17.30/3.73 % (5037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.30/3.73 % (5037)Termination reason: Unknown
% 17.30/3.73 % (5037)Termination phase: Saturation
% 17.30/3.73
% 17.30/3.73 % (5037)Memory used [KB]: 6268
% 17.30/3.73 % (5037)Time elapsed: 0.131 s
% 17.30/3.73 % (5037)Instructions burned: 436 (million)
% 17.30/3.73 % (5037)------------------------------
% 17.30/3.73 % (5037)------------------------------
% 17.30/3.74 % (5040)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_4701 for (2975ds/443Mi)
% 17.54/3.83 % (5035)Instruction limit reached!
% 17.54/3.83 % (5035)------------------------------
% 17.54/3.83 % (5035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.54/3.83 % (5035)Termination reason: Unknown
% 17.54/3.83 % (5035)Termination phase: Saturation
% 17.54/3.83
% 17.54/3.83 % (5035)Memory used [KB]: 9466
% 17.54/3.83 % (5035)Time elapsed: 0.368 s
% 17.54/3.83 % (5035)Instructions burned: 1378 (million)
% 17.54/3.83 % (5035)------------------------------
% 17.54/3.83 % (5035)------------------------------
% 17.54/3.84 % (5041)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_4701 for (2974ds/594Mi)
% 17.54/3.84 % (5038)Instruction limit reached!
% 17.54/3.84 % (5038)------------------------------
% 17.54/3.84 % (5038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.54/3.84 % (5038)Termination reason: Unknown
% 17.54/3.84 % (5038)Termination phase: Saturation
% 17.54/3.84
% 17.54/3.84 % (5038)Memory used [KB]: 10362
% 17.54/3.84 % (5038)Time elapsed: 0.226 s
% 17.54/3.84 % (5038)Instructions burned: 867 (million)
% 17.54/3.84 % (5038)------------------------------
% 17.54/3.84 % (5038)------------------------------
% 17.54/3.85 % (5042)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_4701 for (2974ds/327Mi)
% 17.54/3.85 % (5036)Instruction limit reached!
% 17.54/3.85 % (5036)------------------------------
% 17.54/3.85 % (5036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.54/3.85 % (5036)Termination reason: Unknown
% 17.54/3.85 % (5036)Termination phase: Saturation
% 17.54/3.85
% 17.54/3.85 % (5036)Memory used [KB]: 9722
% 17.54/3.85 % (5036)Time elapsed: 0.303 s
% 17.54/3.85 % (5036)Instructions burned: 908 (million)
% 17.54/3.85 % (5036)------------------------------
% 17.54/3.85 % (5036)------------------------------
% 17.54/3.86 % (5043)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_4701 for (2974ds/5411Mi)
% 17.54/3.87 % (5040)Instruction limit reached!
% 17.54/3.87 % (5040)------------------------------
% 17.54/3.87 % (5040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.54/3.87 % (5040)Termination reason: Unknown
% 17.54/3.87 % (5040)Termination phase: Saturation
% 17.54/3.87
% 17.54/3.87 % (5040)Memory used [KB]: 6524
% 17.54/3.87 % (5040)Time elapsed: 0.134 s
% 17.54/3.87 % (5040)Instructions burned: 445 (million)
% 17.54/3.87 % (5040)------------------------------
% 17.54/3.87 % (5040)------------------------------
% 17.54/3.88 % (5039)Instruction limit reached!
% 17.54/3.88 % (5039)------------------------------
% 17.54/3.88 % (5039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.54/3.88 % (5039)Termination reason: Unknown
% 17.54/3.88 % (5039)Termination phase: Saturation
% 17.54/3.88
% 17.54/3.88 % (5039)Memory used [KB]: 7164
% 17.54/3.88 % (5039)Time elapsed: 0.184 s
% 17.54/3.88 % (5039)Instructions burned: 593 (million)
% 17.54/3.88 % (5039)------------------------------
% 17.54/3.88 % (5039)------------------------------
% 17.54/3.88 % (5044)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_4701 for (2974ds/1762Mi)
% 17.54/3.89 % (5045)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_4701 for (2974ds/96Mi)
% 18.90/3.92 % (5045)Instruction limit reached!
% 18.90/3.92 % (5045)------------------------------
% 18.90/3.92 % (5045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.90/3.92 % (5045)Termination reason: Unknown
% 18.90/3.92 % (5045)Termination phase: Saturation
% 18.90/3.92
% 18.90/3.92 % (5045)Memory used [KB]: 5884
% 18.90/3.92 % (5045)Time elapsed: 0.032 s
% 18.90/3.92 % (5045)Instructions burned: 96 (million)
% 18.90/3.92 % (5045)------------------------------
% 18.90/3.92 % (5045)------------------------------
% 18.90/3.93 % (5046)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_4701 for (2973ds/503Mi)
% 18.90/3.94 % (5042)Instruction limit reached!
% 18.90/3.94 % (5042)------------------------------
% 18.90/3.94 % (5042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.90/3.94 % (5042)Termination reason: Unknown
% 18.90/3.94 % (5042)Termination phase: Saturation
% 18.90/3.94
% 18.90/3.94 % (5042)Memory used [KB]: 6780
% 18.90/3.94 % (5042)Time elapsed: 0.093 s
% 18.90/3.94 % (5042)Instructions burned: 329 (million)
% 18.90/3.94 % (5042)------------------------------
% 18.90/3.94 % (5042)------------------------------
% 18.90/3.95 % (5047)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_4701 for (2973ds/90Mi)
% 18.90/3.98 % (5047)Instruction limit reached!
% 18.90/3.98 % (5047)------------------------------
% 18.90/3.98 % (5047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.90/3.98 % (5047)Termination reason: Unknown
% 18.90/3.98 % (5047)Termination phase: Saturation
% 18.90/3.98
% 18.90/3.98 % (5047)Memory used [KB]: 5884
% 18.90/3.98 % (5047)Time elapsed: 0.030 s
% 18.90/3.98 % (5047)Instructions burned: 91 (million)
% 18.90/3.98 % (5047)------------------------------
% 18.90/3.98 % (5047)------------------------------
% 18.90/3.99 % (5048)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_4701 for (2973ds/593Mi)
% 18.90/4.00 % (5044)First to succeed.
% 18.90/4.01 % (5044)Refutation found. Thanks to Tanya!
% 18.90/4.01 % SZS status Theorem for DTF2THF_4701
% 18.90/4.01 % SZS output start Proof for DTF2THF_4701
% 18.90/4.01 thf(type_def_5, type, a: $tType).
% 18.90/4.01 thf(func_def_0, type, a: $tType).
% 18.90/4.01 thf(func_def_1, type, cK: (a > $o) > a > $o).
% 18.90/4.01 thf(func_def_12, type, sP0: $o > $o).
% 18.90/4.01 thf(func_def_14, type, ph2: !>[X0: $tType]:(X0)).
% 18.90/4.01 thf(func_def_15, type, sK3: a).
% 18.90/4.01 thf(func_def_16, type, sK4: (a > $o) > a).
% 18.90/4.01 thf(func_def_17, type, sK5: a).
% 18.90/4.01 thf(func_def_18, type, sK6: a > $o).
% 18.90/4.01 thf(func_def_19, type, sK7: (a > $o) > a).
% 18.90/4.01 thf(func_def_20, type, sK8: (a > $o) > (a > $o) > a).
% 18.90/4.01 thf(func_def_21, type, sK9: a).
% 18.90/4.01 thf(func_def_22, type, sK10: a > $o).
% 18.90/4.01 thf(f2589,plain,(
% 18.90/4.01 $false),
% 18.90/4.01 inference(trivial_inequality_removal,[status(thm)],[f2588])).
% 18.90/4.01 thf(f2588,plain,(
% 18.90/4.01 ($true = $false)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f2587])).
% 18.90/4.01 thf(f2587,plain,(
% 18.90/4.01 ($true = (~ $true))),
% 18.90/4.01 inference(forward_demodulation,[status(thm)],[f2586,f237])).
% 18.90/4.01 thf(f237,plain,(
% 18.90/4.01 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ sK6 @ Y0)))))),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f231])).
% 18.90/4.01 thf(f231,plain,(
% 18.90/4.01 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ sK6 @ Y0))))))),
% 18.90/4.01 inference(superposition,[status(thm)],[f43,f180])).
% 18.90/4.01 thf(f180,plain,(
% 18.90/4.01 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ sK6 @ Y0) => (sK6 @ Y0)))))),
% 18.90/4.01 inference(binary_proxy_clausification,[status(thm)],[f177])).
% 18.90/4.01 thf(f177,plain,(
% 18.90/4.01 (((!! @ a @ (^[Y0 : a]: ((cK @ sK6 @ Y0) => (sK6 @ Y0)))) => (sK6 @ sK5)) = $false)),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f175])).
% 18.90/4.01 thf(f175,plain,(
% 18.90/4.01 (((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK5))) @ sK6) = $false)),
% 18.90/4.01 inference(sigma_clausification,[status(thm)],[f164])).
% 18.90/4.01 thf(f164,plain,(
% 18.90/4.01 ((!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK5)))) = $false)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f163])).
% 18.90/4.01 thf(f163,plain,(
% 18.90/4.01 ($false = ($true => (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK5))))))),
% 18.90/4.01 inference(backward_demodulation,[status(thm)],[f144,f155])).
% 18.90/4.01 thf(f155,plain,(
% 18.90/4.01 ((cK @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK5) = $true)),
% 18.90/4.01 inference(binary_proxy_clausification,[status(thm)],[f144])).
% 18.90/4.01 thf(f144,plain,(
% 18.90/4.01 (((cK @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK5) => (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK5))))) = $false)),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f141])).
% 18.90/4.01 thf(f141,plain,(
% 18.90/4.01 ($false = ((^[Y0 : a]: ((cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))))) @ sK5))),
% 18.90/4.01 inference(sigma_clausification,[status(thm)],[f137])).
% 18.90/4.01 thf(f137,plain,(
% 18.90/4.01 ((!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))))) = $false)),
% 18.90/4.01 inference(trivial_inequality_removal,[status(thm)],[f136])).
% 18.90/4.01 thf(f136,plain,(
% 18.90/4.01 ((!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))))) = $false) | ($true = $false)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f135])).
% 18.90/4.01 thf(f135,plain,(
% 18.90/4.01 ((!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))))) = $false) | ($true = (~ $true))),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f132])).
% 18.90/4.01 thf(f132,plain,(
% 18.90/4.01 ((!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0) => ((^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0)))) = $false) | ($true = (~ $true))),
% 18.90/4.01 inference(superposition,[status(thm)],[f112,f44])).
% 18.90/4.01 thf(f44,plain,(
% 18.90/4.01 ( ! [X2 : a > $o,X1 : a > $o] : (($true = (!! @ a @ (^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0))))) | ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 18.90/4.01 inference(binary_proxy_clausification,[status(thm)],[f43])).
% 18.90/4.01 thf(f112,plain,(
% 18.90/4.01 ($true = (~ (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1)))))) @ Y0) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0))))))),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f108])).
% 18.90/4.01 thf(f108,plain,(
% 18.90/4.01 (((!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1)))))) @ Y0) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0)))) => $false) = $true)),
% 18.90/4.01 inference(superposition,[status(thm)],[f82,f73])).
% 18.90/4.01 thf(f73,plain,(
% 18.90/4.01 ((cK @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK3) = $false)),
% 18.90/4.01 inference(trivial_inequality_removal,[status(thm)],[f70])).
% 18.90/4.01 thf(f70,plain,(
% 18.90/4.01 ($true = $false) | ((cK @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK3) = $false)),
% 18.90/4.01 inference(backward_demodulation,[status(thm)],[f69,f62])).
% 18.90/4.01 thf(f62,plain,(
% 18.90/4.01 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK3)))))),
% 18.90/4.01 inference(binary_proxy_clausification,[status(thm)],[f52])).
% 18.90/4.01 thf(f52,plain,(
% 18.90/4.01 (((!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK3)))) => (cK @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK3)) = $false)),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f50])).
% 18.90/4.01 thf(f50,plain,(
% 18.90/4.01 ($false = ((^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0))) @ sK3))),
% 18.90/4.01 inference(sigma_clausification,[status(thm)],[f20])).
% 18.90/4.01 thf(f20,plain,(
% 18.90/4.01 ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0)))) = $false)),
% 18.90/4.01 inference(trivial_inequality_removal,[status(thm)],[f19])).
% 18.90/4.01 thf(f19,plain,(
% 18.90/4.01 ($true = $false) | ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0)))) = $false)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f18])).
% 18.90/4.01 thf(f18,plain,(
% 18.90/4.01 ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0)))) = $false) | ($true = (~ $true))),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f14])).
% 18.90/4.01 thf(f14,plain,(
% 18.90/4.01 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => $true))) | ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0)))) = $false)),
% 18.90/4.01 inference(fool_paramodulation,[status(thm)],[f6])).
% 18.90/4.01 thf(f6,plain,(
% 18.90/4.01 ((~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0)))))) = $true)),
% 18.90/4.01 inference(cnf_transformation,[status(thm)],[f5])).
% 18.90/4.01 thf(f5,plain,(
% 18.90/4.01 ((~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0)))))) = $true)),
% 18.90/4.01 inference(fool_elimination,[status(thm)],[f4])).
% 18.90/4.01 thf(f4,plain,(
% 18.90/4.01 ~(! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : ((X1 @ X2) => (X0 @ X2)) => ! [X3 : a] : ((cK @ X1 @ X3) => (cK @ X0 @ X3))) => ! [X4 : a] : (! [X5 : a > $o] : (! [X6 : a] : ((cK @ X5 @ X6) => (X5 @ X6)) => (X5 @ X4)) => (cK @ (^[X7 : a] : (! [X8 : a > $o] : (! [X9 : a] : ((cK @ X8 @ X9) => (X8 @ X9)) => (X8 @ X7)))) @ X4)))),
% 18.90/4.01 inference(rectify,[status(thm)],[f2])).
% 18.90/4.01 thf(f2,negated_conjecture,(
% 18.90/4.01 ~(! [X1 : a > $o,X0 : a > $o] : (! [X2 : a] : ((X0 @ X2) => (X1 @ X2)) => ! [X2 : a] : ((cK @ X0 @ X2) => (cK @ X1 @ X2))) => ! [X2 : a] : (! [X3 : a > $o] : (! [X4 : a] : ((cK @ X3 @ X4) => (X3 @ X4)) => (X3 @ X2)) => (cK @ (^[X4 : a] : (! [X3 : a > $o] : (! [X5 : a] : ((cK @ X3 @ X5) => (X3 @ X5)) => (X3 @ X4)))) @ X2)))),
% 18.90/4.01 inference(negated_conjecture,[status(cth)],[f1])).
% 18.90/4.01 thf(f1,conjecture,(
% 18.90/4.01 ! [X1 : a > $o,X0 : a > $o] : (! [X2 : a] : ((X0 @ X2) => (X1 @ X2)) => ! [X2 : a] : ((cK @ X0 @ X2) => (cK @ X1 @ X2))) => ! [X2 : a] : (! [X3 : a > $o] : (! [X4 : a] : ((cK @ X3 @ X4) => (X3 @ X4)) => (X3 @ X2)) => (cK @ (^[X4 : a] : (! [X3 : a > $o] : (! [X5 : a] : ((cK @ X3 @ X5) => (X3 @ X5)) => (X3 @ X4)))) @ X2))),
% 18.90/4.01 file('/export/starexec/sandbox2/tmp/tmp.T3WaNDmxbH/DTF2THF_4701.p',cTHM90A_pme)).
% 18.90/4.01 thf(f69,plain,(
% 18.90/4.01 ((!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK3)))) = $false) | ((cK @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK3) = $false)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f63])).
% 18.90/4.01 thf(f63,plain,(
% 18.90/4.01 ((!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK3)))) = $false) | (($true => (cK @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK3)) = $false)),
% 18.90/4.01 inference(fool_paramodulation,[status(thm)],[f52])).
% 18.90/4.01 thf(f82,plain,(
% 18.90/4.01 ( ! [X1 : a > $o] : (($true = ((!! @ a @ (^[Y0 : a]: ((cK @ X1 @ Y0) => (X1 @ Y0)))) => (X1 @ sK3)))) )),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f80])).
% 18.90/4.01 thf(f80,plain,(
% 18.90/4.01 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK3))) @ X1) = $true)) )),
% 18.90/4.01 inference(pi_clausification,[status(thm)],[f62])).
% 18.90/4.01 thf(f43,plain,(
% 18.90/4.01 ( ! [X2 : a > $o,X1 : a > $o] : (($true = ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))) => (!! @ a @ (^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0))))))) )),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f41])).
% 18.90/4.01 thf(f41,plain,(
% 18.90/4.01 ( ! [X2 : a > $o,X1 : a > $o] : (($true = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ a @ (^[Y1 : a]: ((cK @ X1 @ Y1) => (cK @ Y0 @ Y1)))))) @ X2))) )),
% 18.90/4.01 inference(pi_clausification,[status(thm)],[f40])).
% 18.90/4.01 thf(f40,plain,(
% 18.90/4.01 ( ! [X1 : a > $o] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ a @ (^[Y1 : a]: ((cK @ X1 @ Y1) => (cK @ Y0 @ Y1))))))))) )),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f38])).
% 18.90/4.01 thf(f38,plain,(
% 18.90/4.01 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2)))))))) @ X1) = $true)) )),
% 18.90/4.01 inference(pi_clausification,[status(thm)],[f31])).
% 18.90/4.01 thf(f31,plain,(
% 18.90/4.01 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))))),
% 18.90/4.01 inference(not_proxy_clausification,[status(thm)],[f26])).
% 18.90/4.01 thf(f26,plain,(
% 18.90/4.01 ((~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $false)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f25])).
% 18.90/4.01 thf(f25,plain,(
% 18.90/4.01 (((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => $false) = $false)),
% 18.90/4.01 inference(backward_demodulation,[status(thm)],[f22,f20])).
% 18.90/4.01 thf(f22,plain,(
% 18.90/4.01 (((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0))))) = $false)),
% 18.90/4.01 inference(trivial_inequality_removal,[status(thm)],[f21])).
% 18.90/4.01 thf(f21,plain,(
% 18.90/4.01 (((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0))))) = $false) | ($true = $false)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f15])).
% 18.90/4.01 thf(f15,plain,(
% 18.90/4.01 ($true = (~ $true)) | (((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (cK @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0))))) = $false)),
% 18.90/4.01 inference(fool_paramodulation,[status(thm)],[f6])).
% 18.90/4.01 thf(f2586,plain,(
% 18.90/4.01 ((~ (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ sK6 @ Y0))))) = $true)),
% 18.90/4.01 inference(trivial_inequality_removal,[status(thm)],[f2585])).
% 18.90/4.01 thf(f2585,plain,(
% 18.90/4.01 ($true = $false) | ((~ (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ sK6 @ Y0))))) = $true)),
% 18.90/4.01 inference(forward_demodulation,[status(thm)],[f2580,f1797])).
% 18.90/4.01 thf(f1797,plain,(
% 18.90/4.01 ((sK6 @ sK9) = $false)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f1796])).
% 18.90/4.01 thf(f1796,plain,(
% 18.90/4.01 (($true => (sK6 @ sK9)) = $false)),
% 18.90/4.01 inference(backward_demodulation,[status(thm)],[f1692,f1788])).
% 18.90/4.01 thf(f1788,plain,(
% 18.90/4.01 ((!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK9)))) = $true)),
% 18.90/4.01 inference(binary_proxy_clausification,[status(thm)],[f1692])).
% 18.90/4.01 thf(f1692,plain,(
% 18.90/4.01 (((!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK9)))) => (sK6 @ sK9)) = $false)),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f1689])).
% 18.90/4.01 thf(f1689,plain,(
% 18.90/4.01 (((^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (sK6 @ Y0))) @ sK9) = $false)),
% 18.90/4.01 inference(sigma_clausification,[status(thm)],[f1650])).
% 18.90/4.01 thf(f1650,plain,(
% 18.90/4.01 ($false = (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (sK6 @ Y0)))))),
% 18.90/4.01 inference(trivial_inequality_removal,[status(thm)],[f1649])).
% 18.90/4.01 thf(f1649,plain,(
% 18.90/4.01 ($true = $false) | ($false = (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (sK6 @ Y0)))))),
% 18.90/4.01 inference(forward_demodulation,[status(thm)],[f1648,f192])).
% 18.90/4.01 thf(f192,plain,(
% 18.90/4.01 ((sK6 @ sK5) = $false)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f191])).
% 18.90/4.01 thf(f191,plain,(
% 18.90/4.01 (($true => (sK6 @ sK5)) = $false)),
% 18.90/4.01 inference(backward_demodulation,[status(thm)],[f177,f180])).
% 18.90/4.01 thf(f1648,plain,(
% 18.90/4.01 ($false = (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cK @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0)))) => (sK6 @ Y0))))) | ($true = (sK6 @ sK5))),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f1647])).
% 18.90/4.01 thf(f1647,plain,(
% 18.90/4.01 ($true = (sK6 @ sK5)) | ((!! @ a @ (^[Y0 : a]: (((^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0) => (sK6 @ Y0)))) = $false)),
% 18.90/4.01 inference(trivial_inequality_removal,[status(thm)],[f1583])).
% 18.90/4.01 thf(f1583,plain,(
% 18.90/4.01 ($true = (sK6 @ sK5)) | ($true = $false) | ((!! @ a @ (^[Y0 : a]: (((^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cK @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ Y0) => (sK6 @ Y0)))) = $false)),
% 18.90/4.01 inference(superposition,[status(thm)],[f155,f1079])).
% 18.90/4.01 thf(f1079,plain,(
% 18.90/4.01 ( ! [X0 : a,X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK6 @ Y0)))) = $false) | ((cK @ X1 @ X0) = $false) | ($true = (sK6 @ X0))) )),
% 18.90/4.01 inference(trivial_inequality_removal,[status(thm)],[f943])).
% 18.90/4.01 thf(f943,plain,(
% 18.90/4.01 ( ! [X0 : a,X1 : a > $o] : (($true = (sK6 @ X0)) | ($true = $false) | ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK6 @ Y0)))) = $false) | ((cK @ X1 @ X0) = $false)) )),
% 18.90/4.01 inference(superposition,[status(thm)],[f78,f270])).
% 18.90/4.01 thf(f270,plain,(
% 18.90/4.01 ( ! [X1 : a] : (((cK @ sK6 @ X1) = $false) | ($true = (sK6 @ X1))) )),
% 18.90/4.01 inference(binary_proxy_clausification,[status(thm)],[f236])).
% 18.90/4.01 thf(f236,plain,(
% 18.90/4.01 ( ! [X1 : a] : (($true = ((cK @ sK6 @ X1) => (sK6 @ X1)))) )),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f228])).
% 18.90/4.01 thf(f228,plain,(
% 18.90/4.01 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((cK @ sK6 @ Y0) => (sK6 @ Y0))) @ X1))) )),
% 18.90/4.01 inference(pi_clausification,[status(thm)],[f180])).
% 18.90/4.01 thf(f78,plain,(
% 18.90/4.01 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))) = $false) | ($true = (cK @ X2 @ X3)) | ((cK @ X1 @ X3) = $false)) )),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f75])).
% 18.90/4.01 thf(f75,plain,(
% 18.90/4.01 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($true = ($true => (cK @ X2 @ X3))) | ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))) = $false) | ((cK @ X1 @ X3) = $false)) )),
% 18.90/4.01 inference(fool_paramodulation,[status(thm)],[f58])).
% 18.90/4.01 thf(f58,plain,(
% 18.90/4.01 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($true = ((cK @ X1 @ X3) => (cK @ X2 @ X3))) | ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f54])).
% 18.90/4.01 thf(f54,plain,(
% 18.90/4.01 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($true = ((^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0))) @ X3)) | ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 18.90/4.01 inference(pi_clausification,[status(thm)],[f44])).
% 18.90/4.01 thf(f2580,plain,(
% 18.90/4.01 ($true = (sK6 @ sK9)) | ((~ (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ sK6 @ Y0))))) = $true)),
% 18.90/4.01 inference(boolean_simplification,[status(thm)],[f2511])).
% 18.90/4.01 thf(f2511,plain,(
% 18.90/4.01 (((!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ sK6 @ Y0)))) => $false) = $true) | ($true = (sK6 @ sK9))),
% 18.90/4.01 inference(superposition,[status(thm)],[f2506,f270])).
% 18.90/4.01 thf(f2506,plain,(
% 18.90/4.01 ( ! [X1 : a > $o] : (($true = ((!! @ a @ (^[Y0 : a]: ((cK @ X1 @ Y0) => (X1 @ Y0)))) => (X1 @ sK9)))) )),
% 18.90/4.01 inference(beta_eta_normalization,[status(thm)],[f2504])).
% 18.90/4.01 thf(f2504,plain,(
% 18.90/4.01 ( ! [X1 : a > $o] : (($true = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cK @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ sK9))) @ X1))) )),
% 18.90/4.01 inference(pi_clausification,[status(thm)],[f1788])).
% 18.90/4.01 % SZS output end Proof for DTF2THF_4701
% 18.90/4.01 % (5044)------------------------------
% 18.90/4.01 % (5044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.90/4.01 % (5044)Termination reason: Refutation
% 18.90/4.01
% 18.90/4.01 % (5044)Memory used [KB]: 6140
% 18.90/4.01 % (5044)Time elapsed: 0.117 s
% 18.90/4.01 % (5044)Instructions burned: 373 (million)
% 18.90/4.01 % (5044)------------------------------
% 18.90/4.01 % (5044)------------------------------
% 18.90/4.01 % (4908)Success in time 2.715 s
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