%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU968^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:37:51 AM UTC 2026
% Result : Theorem 1.40s 1.88s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 1
% Syntax : Number of formulae : 43 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 255 ( 45 equ; 0 cnn)
% Maximal formula atoms : 1 ( 5 avg)
% Number of connectives : 1102 ( 9 ~; 0 |; 77 &; 740 @)
% ( 0 <=>; 151 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 406 ( 406 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 3 con; 0-2 aty)
% ( 125 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 349 ( 313 ^; 36 !; 0 ?; 349 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_15,type,
ph0:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK1: a > a ).
thf(func_def_17,type,
sK2: a > a ).
thf(func_def_18,type,
sK3: a > a ).
thf(func_def_19,type,
sK4: ( a > a ) > $o ).
thf(func_def_24,type,
sK5: a > a ).
thf(f285,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f280]) ).
thf(f280,plain,
$true = $false,
inference(superposition,[status(thm)],[f64,f254]) ).
thf(f254,plain,
( ( ( sK4
@ ^ [Y0: a] : ( sK5 @ ( sK1 @ Y0 ) ) )
=> ( sK4
@ ^ [Y0: a] : ( sK2 @ ( sK5 @ ( sK1 @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f247]) ).
thf(f247,plain,
( ( ^ [Y0: a > a] :
( ( sK4
@ ^ [Y1: a] : ( Y0 @ ( sK1 @ Y1 ) ) )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ ( sK1 @ Y1 ) ) ) ) )
@ sK5 )
= $false ),
inference(sigma_clausification,[status(thm)],[f246]) ).
thf(f246,plain,
( $false
= ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( sK4
@ ^ [Y1: a] : ( Y0 @ ( sK1 @ Y1 ) ) )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ ( sK1 @ Y1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f229]) ).
thf(f229,plain,
( $true
= ( ~ ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( sK4
@ ^ [Y1: a] : ( Y0 @ ( sK1 @ Y1 ) ) )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ ( sK1 @ Y1 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f228]) ).
thf(f228,plain,
( $true
= ( ~ ( $true
& ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( sK4
@ ^ [Y1: a] : ( Y0 @ ( sK1 @ Y1 ) ) )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ ( sK1 @ Y1 ) ) ) ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f190,f109]) ).
thf(f109,plain,
( $true
= ( sK4 @ sK1 ) ),
inference(boolean_simplification,[status(thm)],[f108]) ).
thf(f108,plain,
( $true
= ( $true
=> ( sK4 @ sK1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f96]) ).
thf(f96,plain,
( $true
= ( $true
=> ( ^ [Y0: a > a] :
( sK4
@ ( ^ [Y1: a > a] : Y1
@ Y0 ) )
@ sK1 ) ) ),
inference(superposition,[status(thm)],[f71,f40]) ).
thf(f40,plain,
( $true
= ( ( sK4
@ ^ [Y0: a] : Y0 )
& ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( sK4 @ Y0 )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
( $false
= ( ( ( sK4
@ ^ [Y0: a] : Y0 )
& ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( sK4 @ Y0 )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( sK4
@ ^ [Y0: a] : ( sK3 @ ( sK1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f35]) ).
thf(f35,plain,
( $false
= ( ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: a] : ( sK3 @ ( sK1 @ Y1 ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
( $false
= ( !! @ ( ( a > a ) > $o )
@ ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: a] : ( sK3 @ ( sK1 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f32]) ).
thf(f32,plain,
( $false
= ( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK3 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK1 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: a] : ( sK3 @ ( sK1 @ Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f31]) ).
thf(f31,plain,
( ( ^ [Y0: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y1: ( a > a ) > $o] :
( ( ( Y1
@ ^ [Y2: a] : Y2 )
& ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: a] : ( sK2 @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y1: ( a > a ) > $o] :
( ( ( Y1
@ ^ [Y2: a] : Y2 )
& ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: a] : ( sK2 @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK1 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y1: ( a > a ) > $o] :
( ( ( Y1
@ ^ [Y2: a] : Y2 )
& ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: a] : ( sK2 @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( Y1
@ ^ [Y2: a] : ( Y0 @ ( sK1 @ Y2 ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[status(thm)],[f30]) ).
thf(f30,plain,
( $false
= ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y1: ( a > a ) > $o] :
( ( ( Y1
@ ^ [Y2: a] : Y2 )
& ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: a] : ( sK2 @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ Y0 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y1: ( a > a ) > $o] :
( ( ( Y1
@ ^ [Y2: a] : Y2 )
& ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: a] : ( sK2 @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK1 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y1: ( a > a ) > $o] :
( ( ( Y1
@ ^ [Y2: a] : Y2 )
& ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: a] : ( sK2 @ ( Y2 @ Y3 ) ) ) ) ) )
=> ( Y1
@ ^ [Y2: a] : ( Y0 @ ( sK1 @ Y2 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f29]) ).
thf(f29,plain,
( ( ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y2: ( a > a ) > $o] :
( ( ( Y2
@ ^ [Y3: a] : Y3 )
& ( !! @ ( a > a )
@ ^ [Y3: a > a] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: a] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y2: ( a > a ) > $o] :
( ( ( Y2
@ ^ [Y3: a] : Y3 )
& ( !! @ ( a > a )
@ ^ [Y3: a > a] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: a] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 @ sK1 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y2: ( a > a ) > $o] :
( ( ( Y2
@ ^ [Y3: a] : Y3 )
& ( !! @ ( a > a )
@ ^ [Y3: a > a] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: a] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: a] : ( Y1 @ ( sK1 @ Y3 ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f23]) ).
thf(f23,plain,
( ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y2: ( a > a ) > $o] :
( ( ( Y2
@ ^ [Y3: a] : Y3 )
& ( !! @ ( a > a )
@ ^ [Y3: a > a] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: a] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 @ Y1 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y2: ( a > a ) > $o] :
( ( ( Y2
@ ^ [Y3: a] : Y3 )
& ( !! @ ( a > a )
@ ^ [Y3: a > a] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: a] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 @ sK1 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y2: ( a > a ) > $o] :
( ( ( Y2
@ ^ [Y3: a] : Y3 )
& ( !! @ ( a > a )
@ ^ [Y3: a > a] :
( ( Y2 @ Y3 )
=> ( Y2
@ ^ [Y4: a] : ( Y0 @ ( Y3 @ Y4 ) ) ) ) ) )
=> ( Y2
@ ^ [Y3: a] : ( Y1 @ ( sK1 @ Y3 ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f20]) ).
thf(f20,plain,
( ( ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3
@ ^ [Y4: a] : ( Y2 @ ( Y0 @ Y4 ) ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( $false
= ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3
@ ^ [Y4: a] : ( Y2 @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ( !! @ ( a > a )
@ ^ [Y0: a > a] : $true )
=> ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3
@ ^ [Y4: a] : ( Y2 @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( $true
= ( ~ ( ( !! @ ( a > a )
@ ^ [Y0: a > a] : $true )
=> ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3
@ ^ [Y4: a] : ( Y2 @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f7]) ).
thf(f7,plain,
( $true
= ( ~ ( ( !! @ ( a > a )
@ ^ [Y0: a > a] : ( Y0 = Y0 ) )
=> ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3
@ ^ [Y4: a] : ( Y2 @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( Y0
= ( ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3
@ ^ [Y4: a] : ( Y2 @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( Y0
= ( ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y2 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) )
=> ( !! @ ( ( a > a ) > $o )
@ ^ [Y3: ( a > a ) > $o] :
( ( ( Y3
@ ^ [Y4: a] : Y4 )
& ( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( Y3 @ Y4 )
=> ( Y3
@ ^ [Y5: a] : ( Y1 @ ( Y4 @ Y5 ) ) ) ) ) )
=> ( Y3
@ ^ [Y4: a] : ( Y2 @ ( Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > a] :
( X0
= ( ^ [X1: a] : ( X0 @ X1 ) ) )
=> ! [X2: a > a,X3: a > a,X4: a > a] :
( ( ! [X5: ( a > a ) > $o] :
( ( ! [X6: a > a] :
( ( X5 @ X6 )
=> ( X5
@ ^ [X7: a] : ( X3 @ ( X6 @ X7 ) ) ) )
& ( X5
@ ^ [X8: a] : X8 ) )
=> ( X5 @ X4 ) )
& ! [X9: ( a > a ) > $o] :
( ( ! [X10: a > a] :
( ( X9 @ X10 )
=> ( X9
@ ^ [X11: a] : ( X3 @ ( X10 @ X11 ) ) ) )
& ( X9
@ ^ [X12: a] : X12 ) )
=> ( X9 @ X2 ) ) )
=> ! [X13: ( a > a ) > $o] :
( ( ! [X14: a > a] :
( ( X13 @ X14 )
=> ( X13
@ ^ [X15: a] : ( X3 @ ( X14 @ X15 ) ) ) )
& ( X13
@ ^ [X16: a] : X16 ) )
=> ( X13
@ ^ [X17: a] : ( X2 @ ( X4 @ X17 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: a > a] :
( X0
= ( ^ [X1: a] : ( X0 @ X1 ) ) )
=> ! [X3: a > a,X2: a > a,X4: a > a] :
( ( ! [X5: ( a > a ) > $o] :
( ( ! [X7: a > a] :
( ( X5 @ X7 )
=> ( X5
@ ^ [X1: a] : ( X2 @ ( X7 @ X1 ) ) ) )
& ( X5
@ ^ [X6: a] : X6 ) )
=> ( X5 @ X4 ) )
& ! [X5: ( a > a ) > $o] :
( ( ! [X7: a > a] :
( ( X5 @ X7 )
=> ( X5
@ ^ [X1: a] : ( X2 @ ( X7 @ X1 ) ) ) )
& ( X5
@ ^ [X6: a] : X6 ) )
=> ( X5 @ X3 ) ) )
=> ! [X5: ( a > a ) > $o] :
( ( ! [X7: a > a] :
( ( X5 @ X7 )
=> ( X5
@ ^ [X1: a] : ( X2 @ ( X7 @ X1 ) ) ) )
& ( X5
@ ^ [X6: a] : X6 ) )
=> ( X5
@ ^ [X1: a] : ( X3 @ ( X4 @ X1 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: a > a] :
( X0
= ( ^ [X1: a] : ( X0 @ X1 ) ) )
=> ! [X3: a > a,X2: a > a,X4: a > a] :
( ( ! [X5: ( a > a ) > $o] :
( ( ! [X7: a > a] :
( ( X5 @ X7 )
=> ( X5
@ ^ [X1: a] : ( X2 @ ( X7 @ X1 ) ) ) )
& ( X5
@ ^ [X6: a] : X6 ) )
=> ( X5 @ X4 ) )
& ! [X5: ( a > a ) > $o] :
( ( ! [X7: a > a] :
( ( X5 @ X7 )
=> ( X5
@ ^ [X1: a] : ( X2 @ ( X7 @ X1 ) ) ) )
& ( X5
@ ^ [X6: a] : X6 ) )
=> ( X5 @ X3 ) ) )
=> ! [X5: ( a > a ) > $o] :
( ( ! [X7: a > a] :
( ( X5 @ X7 )
=> ( X5
@ ^ [X1: a] : ( X2 @ ( X7 @ X1 ) ) ) )
& ( X5
@ ^ [X6: a] : X6 ) )
=> ( X5
@ ^ [X1: a] : ( X3 @ ( X4 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OlYb6xZcpL/DTF2THF_3011.p',cTHM135C_pme) ).
thf(f71,plain,
! [X1: ( a > a ) > $o] :
( $true
= ( ( ( X1
@ ^ [Y0: a] : Y0 )
& ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( X1 @ sK1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f67]) ).
thf(f67,plain,
! [X1: ( a > a ) > $o] :
( $true
= ( ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK1 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f43]) ).
thf(f43,plain,
( ( !! @ ( ( a > a ) > $o )
@ ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK1 ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
( $true
= ( ( !! @ ( ( a > a ) > $o )
@ ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK3 ) ) )
& ( !! @ ( ( a > a ) > $o )
@ ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK1 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f32]) ).
thf(f190,plain,
( $true
= ( ~ ( ( sK4 @ sK1 )
& ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( sK4
@ ^ [Y1: a] : ( Y0 @ ( sK1 @ Y1 ) ) )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ ( sK1 @ Y1 ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f189]) ).
thf(f189,plain,
( $true
= ( ( ( sK4 @ sK1 )
& ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( sK4
@ ^ [Y1: a] : ( Y0 @ ( sK1 @ Y1 ) ) )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ ( sK1 @ Y1 ) ) ) ) ) ) )
=> $false ) ),
inference(beta_eta_normalization,[status(thm)],[f160]) ).
thf(f160,plain,
( ( ( ( ^ [Y0: a > a] :
( sK4
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK1
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ^ [Y0: a] : Y0 )
& ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( ^ [Y1: a > a] :
( sK4
@ ( ^ [Y2: a > a,Y3: a] :
( Y2
@ ( ^ [Y4: a > a,Y5: a] :
( sK1
@ ( ^ [Y6: a > a,Y7: a] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y1 ) )
@ Y0 )
=> ( ^ [Y1: a > a] :
( sK4
@ ( ^ [Y2: a > a,Y3: a] :
( Y2
@ ( ^ [Y4: a > a,Y5: a] :
( sK1
@ ( ^ [Y6: a > a,Y7: a] : Y7
@ Y4
@ Y5 ) )
@ Y2
@ Y3 ) )
@ Y1 ) )
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ Y1 ) ) ) ) ) )
=> $false )
= $true ),
inference(superposition,[status(thm)],[f142,f39]) ).
thf(f39,plain,
( ( sK4
@ ^ [Y0: a] : ( sK3 @ ( sK1 @ Y0 ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f37]) ).
thf(f142,plain,
! [X1: ( a > a ) > $o] :
( $true
= ( ( ( X1
@ ^ [Y0: a] : Y0 )
& ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ Y1 ) ) ) ) ) )
=> ( X1 @ sK3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f138]) ).
thf(f138,plain,
! [X1: ( a > a ) > $o] :
( $true
= ( ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK3 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f44]) ).
thf(f44,plain,
( $true
= ( !! @ ( ( a > a ) > $o )
@ ^ [Y0: ( a > a ) > $o] :
( ( ( Y0
@ ^ [Y1: a] : Y1 )
& ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: a] : ( sK2 @ ( Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f34]) ).
thf(f64,plain,
! [X1: a > a] :
( $true
= ( ( sK4 @ X1 )
=> ( sK4
@ ^ [Y0: a] : ( sK2 @ ( X1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f59]) ).
thf(f59,plain,
! [X1: a > a] :
( $true
= ( ^ [Y0: a > a] :
( ( sK4 @ Y0 )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
( $true
= ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( sK4 @ Y0 )
=> ( sK4
@ ^ [Y1: a] : ( sK2 @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU968^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.32 % Computer : n015.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Feb 24 12:37:46 EST 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.32 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.42 ---- Original DTF file ---
% 0.16/0.42 thf(spec,logic,$$dhol).
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 % File : SEU968^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.42 % Domain : Set Theory (Functions)
% 0.16/0.42 % Problem : TPS problem from FUNCTION-THMS
% 0.16/0.42 % Version : Especial.
% 0.16/0.42 % English :
% 0.16/0.42
% 0.16/0.42 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.42 % Source : [Bro09]
% 0.16/0.42 % Names : tps_1066 [Bro09]
% 0.16/0.42
% 0.16/0.42 % Status : Theorem
% 0.16/0.42 % Rating : 0.56 v9.1.0, 0.50 v9.0.0, 0.60 v8.2.0, 0.69 v8.1.0, 0.73 v7.5.0, 0.57 v7.4.0, 0.56 v7.3.0, 0.67 v7.2.0, 0.75 v7.1.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.50 v6.3.0, 0.40 v6.2.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.80 v5.3.0, 1.00 v5.2.0, 0.80 v4.1.0, 0.67 v4.0.0
% 0.16/0.42 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.16/0.42 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.16/0.42 % Maximal formula atoms : 1 ( 1 avg)
% 0.16/0.42 % Number of connectives : 33 ( 0 ~; 0 |; 4 &; 21 @)
% 0.16/0.42 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.16/0.42 % Maximal formula depth : 16 ( 16 avg)
% 0.16/0.42 % Number of types : 2 ( 1 usr)
% 0.16/0.42 % Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% 0.16/0.42 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.16/0.42 % Number of variables : 18 ( 8 ^; 10 !; 0 ?; 18 :)
% 0.16/0.42 % SPC : TH0_THM_EQU_NAR
% 0.16/0.42
% 0.16/0.42 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.42 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.42 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.42 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 thf(a_type,type,
% 0.16/0.42 a: $tType ).
% 0.16/0.42
% 0.16/0.42 thf(cTHM135C_pme,conjecture,
% 0.16/0.42 ( ! [Xg: a > a] :
% 0.16/0.42 ( ( ^ [Xx: a] : ( Xg @ Xx ) )
% 0.16/0.42 = Xg )
% 0.16/0.42 => ! [Xf: a > a,Xg1: a > a,Xg2: a > a] :
% 0.16/0.42 ( ( ! [Xp: ( a > a ) > $o] :
% 0.16/0.42 ( ( ( Xp
% 0.16/0.42 @ ^ [Xu: a] : Xu )
% 0.16/0.42 & ! [Xj: a > a] :
% 0.16/0.42 ( ( Xp @ Xj )
% 0.16/0.42 => ( Xp
% 0.16/0.42 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 0.16/0.42 => ( Xp @ Xg1 ) )
% 0.16/0.42 & ! [Xp: ( a > a ) > $o] :
% 0.16/0.42 ( ( ( Xp
% 0.16/0.42 @ ^ [Xu: a] : Xu )
% 0.16/0.42 & ! [Xj: a > a] :
% 0.16/0.42 ( ( Xp @ Xj )
% 0.16/0.42 => ( Xp
% 0.16/0.42 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 0.16/0.42 => ( Xp @ Xg2 ) ) )
% 0.16/0.42 => ! [Xp: ( a > a ) > $o] :
% 0.16/0.42 ( ( ( Xp
% 0.16/0.42 @ ^ [Xu: a] : Xu )
% 0.16/0.42 & ! [Xj: a > a] :
% 0.16/0.42 ( ( Xp @ Xj )
% 0.16/0.42 => ( Xp
% 0.16/0.42 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 0.16/0.42 => ( Xp
% 0.16/0.42 @ ^ [Xx: a] : ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ) ).
% 0.16/0.42
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 ------------------------
% 1.37/1.20 ---- Embedded in THF ---
% 1.37/1.20 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.37/1.20 %%% Generated on Tue Feb 24 12:37:47 EST 2026
% 1.37/1.20 %%% using '$$dhol' embedding, version 1.3.0.
% 1.37/1.20 %%% Logic specification used:
% 1.37/1.20 %%% thf(spec, logic, $$dhol).
% 1.37/1.20
% 1.37/1.20 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.OlYb6xZcpL/DTF2DTF3011.p
% See solution above
% 1.37/1.20 ------------------------
% 1.37/1.21 ---- Cleaned THF ---
% 1.37/1.21 thf(a_type,type,
% 1.37/1.21 a: $tType ).
% 1.37/1.21
% 1.37/1.21 thf(cTHM135C_pme,conjecture,
% 1.37/1.21 ( ! [Xg: a > a] :
% 1.37/1.21 ( ( ^ [Xx: a] : ( Xg @ Xx ) )
% 1.37/1.21 = Xg )
% 1.37/1.21 => ! [Xf: a > a,Xg1: a > a,Xg2: a > a] :
% 1.37/1.21 ( ( ! [Xp: ( a > a ) > $o] :
% 1.37/1.21 ( ( ( Xp
% 1.37/1.21 @ ^ [Xu: a] : Xu )
% 1.37/1.21 & ! [Xj: a > a] :
% 1.37/1.21 ( ( Xp @ Xj )
% 1.37/1.21 => ( Xp
% 1.37/1.21 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 1.37/1.21 => ( Xp @ Xg1 ) )
% 1.37/1.21 & ! [Xp: ( a > a ) > $o] :
% 1.37/1.21 ( ( ( Xp
% 1.37/1.21 @ ^ [Xu: a] : Xu )
% 1.37/1.21 & ! [Xj: a > a] :
% 1.37/1.21 ( ( Xp @ Xj )
% 1.37/1.21 => ( Xp
% 1.37/1.21 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 1.37/1.21 => ( Xp @ Xg2 ) ) )
% 1.37/1.21 => ! [Xp: ( a > a ) > $o] :
% 1.37/1.21 ( ( ( Xp
% 1.37/1.21 @ ^ [Xu: a] : Xu )
% 1.37/1.21 & ! [Xj: a > a] :
% 1.37/1.21 ( ( Xp @ Xj )
% 1.37/1.21 => ( Xp
% 1.37/1.21 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 1.37/1.21 => ( Xp
% 1.37/1.21 @ ^ [Xx: a] : ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ) ).
% 1.37/1.21 ------------------------
% 1.37/1.22 % (3113)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/183Mi)
% 1.37/1.23 % (3117)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_3011 for (2999ds/2Mi)
% 1.37/1.23 % (3114)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_3011 for (2999ds/4Mi)
% 1.37/1.23 % (3115)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_3011 for (2999ds/27Mi)
% 1.37/1.23 % (3116)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/2Mi)
% 1.37/1.23 % (3118)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_3011 for (2999ds/275Mi)
% 1.37/1.23 % (3119)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/18Mi)
% 1.37/1.23 % (3116)Instruction limit reached!
% 1.37/1.23 % (3116)------------------------------
% 1.37/1.23 % (3116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.23 % (3116)Termination reason: Unknown
% 1.37/1.23 % (3117)Instruction limit reached!
% 1.37/1.23 % (3117)------------------------------
% 1.37/1.23 % (3117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.23 % (3116)Termination phase: Preprocessing 1
% 1.37/1.23
% 1.37/1.23 % (3116)Memory used [KB]: 895
% 1.37/1.23 % (3116)Time elapsed: 0.002 s
% 1.37/1.23 % (3116)Instructions burned: 2 (million)
% 1.37/1.23 % (3116)------------------------------
% 1.37/1.23 % (3116)------------------------------
% 1.37/1.23 % (3117)Termination reason: Unknown
% 1.37/1.23 % (3117)Termination phase: Property scanning
% 1.37/1.23
% 1.37/1.23 % (3117)Memory used [KB]: 895
% 1.37/1.23 % (3117)Time elapsed: 0.002 s
% 1.37/1.23 % (3117)Instructions burned: 2 (million)
% 1.37/1.23 % (3117)------------------------------
% 1.37/1.23 % (3117)------------------------------
% 1.37/1.23 % (3114)Instruction limit reached!
% 1.37/1.23 % (3114)------------------------------
% 1.37/1.23 % (3114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.23 % (3114)Termination reason: Unknown
% 1.37/1.23 % (3114)Termination phase: Saturation
% 1.37/1.23
% 1.37/1.23 % (3114)Memory used [KB]: 5500
% 1.37/1.23 % (3114)Time elapsed: 0.004 s
% 1.37/1.23 % (3114)Instructions burned: 4 (million)
% 1.37/1.23 % (3114)------------------------------
% 1.37/1.23 % (3114)------------------------------
% 1.37/1.24 % (3119)Instruction limit reached!
% 1.37/1.24 % (3119)------------------------------
% 1.37/1.24 % (3119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.24 % (3119)Termination reason: Unknown
% 1.37/1.24 % (3119)Termination phase: Saturation
% 1.37/1.24
% 1.37/1.24 % (3119)Memory used [KB]: 5628
% 1.37/1.24 % (3119)Time elapsed: 0.011 s
% 1.37/1.24 % (3119)Instructions burned: 19 (million)
% 1.37/1.24 % (3119)------------------------------
% 1.37/1.24 % (3119)------------------------------
% 1.37/1.24 % (3115)Instruction limit reached!
% 1.37/1.24 % (3115)------------------------------
% 1.37/1.24 % (3115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.24 % (3115)Termination reason: Unknown
% 1.37/1.24 % (3115)Termination phase: Saturation
% 1.37/1.24
% 1.37/1.24 % (3115)Memory used [KB]: 5628
% 1.37/1.24 % (3115)Time elapsed: 0.015 s
% 1.37/1.24 % (3115)Instructions burned: 27 (million)
% 1.37/1.24 % (3115)------------------------------
% 1.37/1.24 % (3115)------------------------------
% 1.37/1.25 % (3118)Refutation not found, incomplete strategy
% 1.37/1.25 % (3118)------------------------------
% 1.37/1.25 % (3118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.25 % (3118)Termination reason: Refutation not found, incomplete strategy
% 1.37/1.25
% 1.37/1.25
% 1.37/1.25 % (3118)Memory used [KB]: 5628
% 1.37/1.25 % (3118)Time elapsed: 0.016 s
% 1.37/1.25 % (3118)Instructions burned: 27 (million)
% 1.37/1.25 % (3118)------------------------------
% 1.37/1.25 % (3118)------------------------------
% 1.37/1.25 % (3120)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/3Mi)
% 1.37/1.25 % (3121)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_3011 for (2999ds/37Mi)
% 1.37/1.25 % (3120)Instruction limit reached!
% 1.37/1.25 % (3120)------------------------------
% 1.37/1.25 % (3120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.25 % (3120)Termination reason: Unknown
% 1.37/1.25 % (3120)Termination phase: Saturation
% 1.37/1.25
% 1.37/1.25 % (3120)Memory used [KB]: 5500
% 1.37/1.25 % (3120)Time elapsed: 0.003 s
% 1.37/1.25 % (3120)Instructions burned: 4 (million)
% 1.37/1.25 % (3120)------------------------------
% 1.37/1.25 % (3120)------------------------------
% 1.37/1.25 % (3122)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_3011 for (2999ds/15Mi)
% 1.37/1.26 % (3123)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_3011 for (2999ds/3Mi)
% 1.37/1.26 % (3122)Instruction limit reached!
% 1.37/1.26 % (3122)------------------------------
% 1.37/1.26 % (3122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.26 % (3122)Termination reason: Unknown
% 1.37/1.26 % (3122)Termination phase: Saturation
% 1.37/1.26
% 1.37/1.26 % (3122)Memory used [KB]: 5756
% 1.37/1.26 % (3122)Time elapsed: 0.010 s
% 1.37/1.26 % (3122)Instructions burned: 16 (million)
% 1.37/1.26 % (3122)------------------------------
% 1.37/1.26 % (3122)------------------------------
% 1.37/1.26 % (3123)Instruction limit reached!
% 1.37/1.26 % (3123)------------------------------
% 1.37/1.26 % (3123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.26 % (3123)Termination reason: Unknown
% 1.37/1.26 % (3123)Termination phase: Saturation
% 1.37/1.26
% 1.37/1.26 % (3123)Memory used [KB]: 5500
% 1.37/1.26 % (3123)Time elapsed: 0.003 s
% 1.37/1.26 % (3123)Instructions burned: 3 (million)
% 1.37/1.26 % (3123)------------------------------
% 1.37/1.26 % (3123)------------------------------
% 1.37/1.26 % (3124)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_3011 for (2999ds/1041Mi)
% 1.37/1.26 % (3125)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/7Mi)
% 1.37/1.26 % (3126)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/16Mi)
% 1.37/1.26 % (3121)Instruction limit reached!
% 1.37/1.26 % (3121)------------------------------
% 1.37/1.26 % (3121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.26 % (3121)Termination reason: Unknown
% 1.37/1.26 % (3121)Termination phase: Saturation
% 1.37/1.26
% 1.37/1.26 % (3121)Memory used [KB]: 5884
% 1.37/1.26 % (3121)Time elapsed: 0.019 s
% 1.37/1.26 % (3121)Instructions burned: 38 (million)
% 1.37/1.26 % (3121)------------------------------
% 1.37/1.26 % (3121)------------------------------
% 1.37/1.27 % (3125)Instruction limit reached!
% 1.37/1.27 % (3125)------------------------------
% 1.37/1.27 % (3125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.27 % (3125)Termination reason: Unknown
% 1.37/1.27 % (3125)Termination phase: Saturation
% 1.37/1.27
% 1.37/1.27 % (3125)Memory used [KB]: 1023
% 1.37/1.27 % (3125)Time elapsed: 0.005 s
% 1.37/1.27 % (3125)Instructions burned: 7 (million)
% 1.37/1.27 % (3125)------------------------------
% 1.37/1.27 % (3125)------------------------------
% 1.37/1.27 % (3126)Instruction limit reached!
% 1.37/1.27 % (3126)------------------------------
% 1.37/1.27 % (3126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.27 % (3126)Termination reason: Unknown
% 1.37/1.27 % (3126)Termination phase: Saturation
% 1.37/1.27
% 1.37/1.27 % (3126)Memory used [KB]: 5628
% 1.37/1.27 % (3126)Time elapsed: 0.010 s
% 1.37/1.27 % (3126)Instructions burned: 16 (million)
% 1.37/1.27 % (3126)------------------------------
% 1.37/1.27 % (3126)------------------------------
% 1.37/1.27 % (3127)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_3011 for (2999ds/3Mi)
% 1.37/1.27 % (3128)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_3011 for (2999ds/3Mi)
% 1.37/1.28 % (3127)Instruction limit reached!
% 1.37/1.28 % (3127)------------------------------
% 1.37/1.28 % (3127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.28 % (3127)Termination reason: Unknown
% 1.37/1.28 % (3127)Termination phase: Property scanning
% 1.37/1.28
% 1.37/1.28 % (3127)Memory used [KB]: 1023
% 1.37/1.28 % (3127)Time elapsed: 0.003 s
% 1.37/1.28 % (3127)Instructions burned: 4 (million)
% 1.37/1.28 % (3127)------------------------------
% 1.37/1.28 % (3127)------------------------------
% 1.37/1.28 % (3128)Instruction limit reached!
% 1.37/1.28 % (3128)------------------------------
% 1.37/1.28 % (3128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.28 % (3128)Termination reason: Unknown
% 1.37/1.28 % (3128)Termination phase: Saturation
% 1.37/1.28
% 1.37/1.28 % (3128)Memory used [KB]: 1023
% 1.37/1.28 % (3128)Time elapsed: 0.003 s
% 1.37/1.28 % (3128)Instructions burned: 4 (million)
% 1.37/1.28 % (3128)------------------------------
% 1.37/1.28 % (3128)------------------------------
% 1.37/1.28 % (3129)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/7Mi)
% 1.37/1.28 % (3130)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/3Mi)
% 1.37/1.28 % (3113)Instruction limit reached!
% 1.37/1.28 % (3113)------------------------------
% 1.37/1.28 % (3113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.28 % (3113)Termination reason: Unknown
% 1.37/1.28 % (3113)Termination phase: Saturation
% 1.37/1.28
% 1.37/1.28 % (3113)Memory used [KB]: 6268
% 1.37/1.28 % (3113)Time elapsed: 0.059 s
% 1.37/1.28 % (3113)Instructions burned: 186 (million)
% 1.37/1.28 % (3113)------------------------------
% 1.37/1.28 % (3113)------------------------------
% 1.37/1.28 % (3130)Instruction limit reached!
% 1.37/1.28 % (3130)------------------------------
% 1.37/1.28 % (3130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.28 % (3130)Termination reason: Unknown
% 1.37/1.28 % (3130)Termination phase: Saturation
% 1.37/1.28
% 1.37/1.28 % (3130)Memory used [KB]: 5500
% 1.37/1.28 % (3130)Time elapsed: 0.003 s
% 1.37/1.28 % (3130)Instructions burned: 4 (million)
% 1.37/1.28 % (3130)------------------------------
% 1.37/1.28 % (3130)------------------------------
% 1.37/1.28 % (3129)Instruction limit reached!
% 1.37/1.28 % (3129)------------------------------
% 1.37/1.28 % (3129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.28 % (3129)Termination reason: Unknown
% 1.37/1.28 % (3129)Termination phase: Saturation
% 1.37/1.28
% 1.37/1.28 % (3129)Memory used [KB]: 5500
% 1.37/1.28 % (3129)Time elapsed: 0.005 s
% 1.37/1.28 % (3129)Instructions burned: 7 (million)
% 1.37/1.28 % (3129)------------------------------
% 1.37/1.28 % (3129)------------------------------
% 1.37/1.29 % (3131)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/4Mi)
% 1.37/1.29 % (3132)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/18Mi)
% 1.37/1.29 % (3133)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/710Mi)
% 1.37/1.29 % (3134)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/6Mi)
% 1.37/1.29 % (3131)Instruction limit reached!
% 1.37/1.29 % (3131)------------------------------
% 1.37/1.29 % (3131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.29 % (3131)Termination reason: Unknown
% 1.37/1.29 % (3131)Termination phase: Saturation
% 1.37/1.29
% 1.37/1.29 % (3131)Memory used [KB]: 5500
% 1.37/1.29 % (3131)Time elapsed: 0.004 s
% 1.37/1.29 % (3131)Instructions burned: 5 (million)
% 1.37/1.29 % (3131)------------------------------
% 1.37/1.29 % (3131)------------------------------
% 1.37/1.29 % (3134)Instruction limit reached!
% 1.37/1.29 % (3134)------------------------------
% 1.37/1.29 % (3134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.29 % (3134)Termination reason: Unknown
% 1.37/1.29 % (3134)Termination phase: Saturation
% 1.37/1.29
% 1.37/1.29 % (3134)Memory used [KB]: 5500
% 1.37/1.29 % (3134)Time elapsed: 0.003 s
% 1.37/1.29 % (3134)Instructions burned: 6 (million)
% 1.37/1.29 % (3134)------------------------------
% 1.37/1.29 % (3134)------------------------------
% 1.37/1.29 % (3132)Refutation not found, incomplete strategy
% 1.37/1.29 % (3132)------------------------------
% 1.37/1.29 % (3132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.29 % (3132)Termination reason: Refutation not found, incomplete strategy
% 1.37/1.29
% 1.37/1.29
% 1.37/1.29 % (3132)Memory used [KB]: 5500
% 1.37/1.29 % (3132)Time elapsed: 0.004 s
% 1.37/1.29 % (3132)Instructions burned: 5 (million)
% 1.37/1.29 % (3132)------------------------------
% 1.37/1.29 % (3132)------------------------------
% 1.40/1.30 % (3135)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_3011 for (2999ds/902Mi)
% 1.40/1.30 % (3136)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_3011 for (2999ds/21Mi)
% 1.40/1.30 % (3138)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_3011 for (2999ds/6Mi)
% 1.40/1.30 % (3138)Instruction limit reached!
% 1.40/1.30 % (3138)------------------------------
% 1.40/1.30 % (3138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.30 % (3138)Termination reason: Unknown
% 1.40/1.30 % (3138)Termination phase: Saturation
% 1.40/1.30
% 1.40/1.30 % (3138)Memory used [KB]: 5500
% 1.40/1.30 % (3138)Time elapsed: 0.003 s
% 1.40/1.30 % (3138)Instructions burned: 7 (million)
% 1.40/1.30 % (3138)------------------------------
% 1.40/1.30 % (3138)------------------------------
% 1.40/1.31 % (3137)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/5Mi)
% 1.40/1.31 % (3137)Instruction limit reached!
% 1.40/1.31 % (3137)------------------------------
% 1.40/1.31 % (3137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.31 % (3137)Termination reason: Unknown
% 1.40/1.31 % (3137)Termination phase: Saturation
% 1.40/1.31
% 1.40/1.31 % (3137)Memory used [KB]: 5500
% 1.40/1.31 % (3137)Time elapsed: 0.004 s
% 1.40/1.31 % (3137)Instructions burned: 6 (million)
% 1.40/1.31 % (3137)------------------------------
% 1.40/1.31 % (3137)------------------------------
% 1.40/1.31 % (3139)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/377Mi)
% 1.40/1.31 % (3136)Instruction limit reached!
% 1.40/1.31 % (3136)------------------------------
% 1.40/1.31 % (3136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.31 % (3136)Termination reason: Unknown
% 1.40/1.31 % (3136)Termination phase: Saturation
% 1.40/1.31
% 1.40/1.31 % (3136)Memory used [KB]: 5628
% 1.40/1.31 % (3136)Time elapsed: 0.013 s
% 1.40/1.31 % (3136)Instructions burned: 22 (million)
% 1.40/1.31 % (3136)------------------------------
% 1.40/1.31 % (3136)------------------------------
% 1.40/1.31 % (3140)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_3011 for (2999ds/779Mi)
% 1.40/1.32 % (3139)Refutation not found, incomplete strategy
% 1.40/1.32 % (3139)------------------------------
% 1.40/1.32 % (3139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.32 % (3139)Termination reason: Refutation not found, incomplete strategy
% 1.40/1.32
% 1.40/1.32
% 1.40/1.32 % (3139)Memory used [KB]: 5628
% 1.40/1.32 % (3139)Time elapsed: 0.007 s
% 1.40/1.32 % (3139)Instructions burned: 11 (million)
% 1.40/1.32 % (3139)------------------------------
% 1.40/1.32 % (3139)------------------------------
% 1.40/1.33 % (3141)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_3011 for (2999ds/19Mi)
% 1.40/1.33 % (3142)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/879Mi)
% 1.40/1.33 % (3143)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_3011 for (2999ds/17Mi)
% 1.40/1.34 % (3141)Instruction limit reached!
% 1.40/1.34 % (3141)------------------------------
% 1.40/1.34 % (3141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.34 % (3141)Termination reason: Unknown
% 1.40/1.34 % (3141)Termination phase: Saturation
% 1.40/1.34
% 1.40/1.34 % (3141)Memory used [KB]: 5628
% 1.40/1.34 % (3141)Time elapsed: 0.011 s
% 1.40/1.34 % (3141)Instructions burned: 19 (million)
% 1.40/1.34 % (3141)------------------------------
% 1.40/1.34 % (3141)------------------------------
% 1.40/1.34 % (3143)Instruction limit reached!
% 1.40/1.34 % (3143)------------------------------
% 1.40/1.34 % (3143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.34 % (3143)Termination reason: Unknown
% 1.40/1.34 % (3143)Termination phase: Saturation
% 1.40/1.34
% 1.40/1.34 % (3143)Memory used [KB]: 5628
% 1.40/1.34 % (3143)Time elapsed: 0.031 s
% 1.40/1.34 % (3143)Instructions burned: 17 (million)
% 1.40/1.34 % (3143)------------------------------
% 1.40/1.34 % (3143)------------------------------
% 1.40/1.35 % (3144)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_3011 for (2998ds/3Mi)
% 1.40/1.35 % (3144)Instruction limit reached!
% 1.40/1.35 % (3144)------------------------------
% 1.40/1.35 % (3144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.35 % (3144)Termination reason: Unknown
% 1.40/1.35 % (3144)Termination phase: Saturation
% 1.40/1.35
% 1.40/1.35 % (3144)Memory used [KB]: 1023
% 1.40/1.35 % (3144)Time elapsed: 0.003 s
% 1.40/1.35 % (3144)Instructions burned: 3 (million)
% 1.40/1.35 % (3144)------------------------------
% 1.40/1.35 % (3144)------------------------------
% 1.40/1.36 % (3145)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_3011 for (2998ds/30Mi)
% 1.40/1.37 % (3146)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_3011 for (2998ds/127Mi)
% 1.40/1.37 % (3145)Instruction limit reached!
% 1.40/1.37 % (3145)------------------------------
% 1.40/1.37 % (3145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.37 % (3145)Termination reason: Unknown
% 1.40/1.37 % (3145)Termination phase: Saturation
% 1.40/1.37
% 1.40/1.37 % (3145)Memory used [KB]: 5628
% 1.40/1.37 % (3145)Time elapsed: 0.017 s
% 1.40/1.37 % (3145)Instructions burned: 31 (million)
% 1.40/1.37 % (3145)------------------------------
% 1.40/1.37 % (3145)------------------------------
% 1.40/1.39 % (3148)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_3011 for (2998ds/100Mi)
% 1.40/1.39 % (3148)Refutation not found, incomplete strategy
% 1.40/1.39 % (3148)------------------------------
% 1.40/1.39 % (3148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.39 % (3148)Termination reason: Refutation not found, incomplete strategy
% 1.40/1.39
% 1.40/1.39
% 1.40/1.39 % (3148)Memory used [KB]: 5500
% 1.40/1.39 % (3148)Time elapsed: 0.005 s
% 1.40/1.39 % (3148)Instructions burned: 7 (million)
% 1.40/1.39 % (3148)------------------------------
% 1.40/1.39 % (3148)------------------------------
% 1.40/1.41 % (3151)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_3011 for (2998ds/3Mi)
% 1.40/1.41 % (3151)Instruction limit reached!
% 1.40/1.41 % (3151)------------------------------
% 1.40/1.41 % (3151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.41 % (3151)Termination reason: Unknown
% 1.40/1.41 % (3151)Termination phase: Saturation
% 1.40/1.41
% 1.40/1.41 % (3151)Memory used [KB]: 5500
% 1.40/1.41 % (3151)Time elapsed: 0.024 s
% 1.40/1.41 % (3151)Instructions burned: 4 (million)
% 1.40/1.41 % (3151)------------------------------
% 1.40/1.41 % (3151)------------------------------
% 1.40/1.43 % (3154)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_3011 for (2998ds/20Mi)
% 1.40/1.43 % (3146)Instruction limit reached!
% 1.40/1.43 % (3146)------------------------------
% 1.40/1.43 % (3146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.43 % (3146)Termination reason: Unknown
% 1.40/1.43 % (3146)Termination phase: Saturation
% 1.40/1.43
% 1.40/1.43 % (3146)Memory used [KB]: 6012
% 1.40/1.43 % (3146)Time elapsed: 0.084 s
% 1.40/1.43 % (3146)Instructions burned: 128 (million)
% 1.40/1.43 % (3146)------------------------------
% 1.40/1.43 % (3146)------------------------------
% 1.40/1.44 % (3154)Instruction limit reached!
% 1.40/1.44 % (3154)------------------------------
% 1.40/1.44 % (3154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.44 % (3154)Termination reason: Unknown
% 1.40/1.44 % (3154)Termination phase: Saturation
% 1.40/1.44
% 1.40/1.44 % (3154)Memory used [KB]: 5628
% 1.40/1.44 % (3154)Time elapsed: 0.036 s
% 1.40/1.44 % (3154)Instructions burned: 21 (million)
% 1.40/1.44 % (3154)------------------------------
% 1.40/1.44 % (3154)------------------------------
% 1.40/1.45 % (3155)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_3011 for (2998ds/86Mi)
% 1.40/1.45 % (3156)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_3011 for (2997ds/107Mi)
% 1.40/1.49 % (3155)Instruction limit reached!
% 1.40/1.49 % (3155)------------------------------
% 1.40/1.49 % (3155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.49 % (3155)Termination reason: Unknown
% 1.40/1.49 % (3155)Termination phase: Saturation
% 1.40/1.49
% 1.40/1.49 % (3155)Memory used [KB]: 5884
% 1.40/1.49 % (3155)Time elapsed: 0.066 s
% 1.40/1.49 % (3155)Instructions burned: 86 (million)
% 1.40/1.49 % (3155)------------------------------
% 1.40/1.49 % (3155)------------------------------
% 1.40/1.50 % (3156)Instruction limit reached!
% 1.40/1.50 % (3156)------------------------------
% 1.40/1.50 % (3156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.50 % (3156)Termination reason: Unknown
% 1.40/1.50 % (3156)Termination phase: Saturation
% 1.40/1.50
% 1.40/1.50 % (3156)Memory used [KB]: 5628
% 1.40/1.50 % (3156)Time elapsed: 0.049 s
% 1.40/1.50 % (3156)Instructions burned: 108 (million)
% 1.40/1.50 % (3156)------------------------------
% 1.40/1.50 % (3156)------------------------------
% 1.40/1.50 % (3157)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_3011 for (2997ds/39Mi)
% 1.40/1.52 % (3158)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_3011 for (2997ds/448Mi)
% 1.40/1.52 % (3157)Instruction limit reached!
% 1.40/1.52 % (3157)------------------------------
% 1.40/1.52 % (3157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.52 % (3157)Termination reason: Unknown
% 1.40/1.52 % (3157)Termination phase: Saturation
% 1.40/1.52
% 1.40/1.52 % (3157)Memory used [KB]: 5628
% 1.40/1.52 % (3157)Time elapsed: 0.020 s
% 1.40/1.52 % (3157)Instructions burned: 40 (million)
% 1.40/1.52 % (3157)------------------------------
% 1.40/1.52 % (3157)------------------------------
% 1.40/1.54 % (3140)Instruction limit reached!
% 1.40/1.54 % (3140)------------------------------
% 1.40/1.54 % (3140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.54 % (3140)Termination reason: Unknown
% 1.40/1.54 % (3140)Termination phase: Saturation
% 1.40/1.54
% 1.40/1.54 % (3140)Memory used [KB]: 6524
% 1.40/1.54 % (3140)Time elapsed: 0.224 s
% 1.40/1.54 % (3140)Instructions burned: 780 (million)
% 1.40/1.54 % (3140)------------------------------
% 1.40/1.54 % (3140)------------------------------
% 1.40/1.54 % (3159)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_3011 for (2996ds/46Mi)
% 1.40/1.55 % (3160)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_3011 for (2996ds/98Mi)
% 1.40/1.55 % (3160)Refutation not found, incomplete strategy
% 1.40/1.55 % (3160)------------------------------
% 1.40/1.55 % (3160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.55 % (3160)Termination reason: Refutation not found, incomplete strategy
% 1.40/1.55
% 1.40/1.55
% 1.40/1.55 % (3160)Memory used [KB]: 1151
% 1.40/1.55 % (3160)Time elapsed: 0.007 s
% 1.40/1.55 % (3160)Instructions burned: 18 (million)
% 1.40/1.55 % (3160)------------------------------
% 1.40/1.55 % (3160)------------------------------
% 1.40/1.56 % (3159)Instruction limit reached!
% 1.40/1.56 % (3159)------------------------------
% 1.40/1.56 % (3159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.56 % (3159)Termination reason: Unknown
% 1.40/1.56 % (3159)Termination phase: Saturation
% 1.40/1.56
% 1.40/1.56 % (3159)Memory used [KB]: 5756
% 1.40/1.56 % (3159)Time elapsed: 0.025 s
% 1.40/1.56 % (3159)Instructions burned: 46 (million)
% 1.40/1.56 % (3159)------------------------------
% 1.40/1.56 % (3159)------------------------------
% 1.40/1.56 % (3161)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_3011 for (2996ds/507Mi)
% 1.40/1.58 % (3162)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_3011 for (2996ds/149Mi)
% 1.40/1.62 % (3133)Instruction limit reached!
% 1.40/1.62 % (3133)------------------------------
% 1.40/1.62 % (3133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.62 % (3133)Termination reason: Unknown
% 1.40/1.62 % (3133)Termination phase: Saturation
% 1.40/1.62
% 1.40/1.62 % (3133)Memory used [KB]: 7164
% 1.40/1.62 % (3133)Time elapsed: 0.330 s
% 1.40/1.62 % (3133)Instructions burned: 710 (million)
% 1.40/1.62 % (3133)------------------------------
% 1.40/1.62 % (3133)------------------------------
% 1.40/1.64 % (3163)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_3011 for (2995ds/39Mi)
% 1.40/1.65 % (3124)Instruction limit reached!
% 1.40/1.65 % (3124)------------------------------
% 1.40/1.65 % (3124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.65 % (3124)Termination reason: Unknown
% 1.40/1.65 % (3124)Termination phase: Saturation
% 1.40/1.65
% 1.40/1.65 % (3124)Memory used [KB]: 6140
% 1.40/1.65 % (3124)Time elapsed: 0.387 s
% 1.40/1.65 % (3124)Instructions burned: 1042 (million)
% 1.40/1.65 % (3124)------------------------------
% 1.40/1.65 % (3124)------------------------------
% 1.40/1.65 % (3162)Instruction limit reached!
% 1.40/1.65 % (3162)------------------------------
% 1.40/1.65 % (3162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.65 % (3162)Termination reason: Unknown
% 1.40/1.65 % (3162)Termination phase: Saturation
% 1.40/1.65
% 1.40/1.65 % (3162)Memory used [KB]: 6012
% 1.40/1.65 % (3162)Time elapsed: 0.072 s
% 1.40/1.65 % (3162)Instructions burned: 149 (million)
% 1.40/1.65 % (3162)------------------------------
% 1.40/1.65 % (3162)------------------------------
% 1.40/1.66 % (3163)Instruction limit reached!
% 1.40/1.66 % (3163)------------------------------
% 1.40/1.66 % (3163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.66 % (3163)Termination reason: Unknown
% 1.40/1.66 % (3163)Termination phase: Saturation
% 1.40/1.66
% 1.40/1.66 % (3163)Memory used [KB]: 5628
% 1.40/1.66 % (3163)Time elapsed: 0.022 s
% 1.40/1.66 % (3163)Instructions burned: 40 (million)
% 1.40/1.66 % (3163)------------------------------
% 1.40/1.66 % (3163)------------------------------
% 1.40/1.66 % (3164)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_3011 for (2995ds/6Mi)
% 1.40/1.66 % (3165)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_3011 for (2995ds/1087Mi)
% 1.40/1.67 % (3164)Instruction limit reached!
% 1.40/1.67 % (3164)------------------------------
% 1.40/1.67 % (3164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.67 % (3164)Termination reason: Unknown
% 1.40/1.67 % (3164)Termination phase: Saturation
% 1.40/1.67
% 1.40/1.67 % (3164)Memory used [KB]: 9978
% 1.40/1.67 % (3164)Time elapsed: 0.005 s
% 1.40/1.67 % (3164)Instructions burned: 7 (million)
% 1.40/1.67 % (3164)------------------------------
% 1.40/1.67 % (3164)------------------------------
% 1.40/1.67 % (3142)Instruction limit reached!
% 1.40/1.67 % (3142)------------------------------
% 1.40/1.67 % (3142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.67 % (3142)Termination reason: Unknown
% 1.40/1.67 % (3142)Termination phase: Saturation
% 1.40/1.67
% 1.40/1.67 % (3142)Memory used [KB]: 6140
% 1.40/1.67 % (3142)Time elapsed: 0.339 s
% 1.40/1.67 % (3142)Instructions burned: 881 (million)
% 1.40/1.67 % (3142)------------------------------
% 1.40/1.67 % (3142)------------------------------
% 1.40/1.67 % (3166)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_3011 for (2995ds/47Mi)
% 1.40/1.68 % (3167)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_3011 for (2995ds/44Mi)
% 1.40/1.68 % (3168)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_3011 for (2995ds/432Mi)
% 1.40/1.69 % (3165)Refutation not found, incomplete strategy
% 1.40/1.69 % (3165)------------------------------
% 1.40/1.69 % (3165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.69 % (3165)Termination reason: Refutation not found, incomplete strategy
% 1.40/1.69
% 1.40/1.69
% 1.40/1.69 % (3165)Memory used [KB]: 5756
% 1.40/1.69 % (3165)Time elapsed: 0.028 s
% 1.40/1.69 % (3165)Instructions burned: 52 (million)
% 1.40/1.69 % (3165)------------------------------
% 1.40/1.69 % (3165)------------------------------
% 1.40/1.70 % (3166)Instruction limit reached!
% 1.40/1.70 % (3166)------------------------------
% 1.40/1.70 % (3166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.70 % (3166)Termination reason: Unknown
% 1.40/1.70 % (3166)Termination phase: Saturation
% 1.40/1.70
% 1.40/1.70 % (3166)Memory used [KB]: 5628
% 1.40/1.70 % (3166)Time elapsed: 0.026 s
% 1.40/1.70 % (3166)Instructions burned: 48 (million)
% 1.40/1.70 % (3166)------------------------------
% 1.40/1.70 % (3166)------------------------------
% 1.40/1.70 % (3167)Instruction limit reached!
% 1.40/1.70 % (3167)------------------------------
% 1.40/1.70 % (3167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.70 % (3167)Termination reason: Unknown
% 1.40/1.70 % (3167)Termination phase: Saturation
% 1.40/1.70
% 1.40/1.70 % (3167)Memory used [KB]: 1151
% 1.40/1.70 % (3167)Time elapsed: 0.023 s
% 1.40/1.70 % (3167)Instructions burned: 46 (million)
% 1.40/1.70 % (3167)------------------------------
% 1.40/1.70 % (3167)------------------------------
% 1.40/1.71 % (3169)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_3011 for (2995ds/62Mi)
% 1.40/1.71 % (3135)Instruction limit reached!
% 1.40/1.71 % (3135)------------------------------
% 1.40/1.71 % (3135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.71 % (3135)Termination reason: Unknown
% 1.40/1.71 % (3135)Termination phase: Saturation
% 1.40/1.71
% 1.40/1.71 % (3135)Memory used [KB]: 6908
% 1.40/1.71 % (3135)Time elapsed: 0.410 s
% 1.40/1.71 % (3135)Instructions burned: 903 (million)
% 1.40/1.71 % (3135)------------------------------
% 1.40/1.71 % (3135)------------------------------
% 1.40/1.71 % (3170)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_3011 for (2995ds/31Mi)
% 1.40/1.72 % (3171)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_3011 for (2995ds/96Mi)
% 1.40/1.72 % (3161)Instruction limit reached!
% 1.40/1.72 % (3161)------------------------------
% 1.40/1.72 % (3161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.72 % (3161)Termination reason: Unknown
% 1.40/1.72 % (3161)Termination phase: Saturation
% 1.40/1.72
% 1.40/1.72 % (3161)Memory used [KB]: 6268
% 1.40/1.72 % (3161)Time elapsed: 0.158 s
% 1.40/1.72 % (3161)Instructions burned: 509 (million)
% 1.40/1.72 % (3161)------------------------------
% 1.40/1.72 % (3161)------------------------------
% 1.40/1.72 % (3172)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_3011 for (2995ds/453Mi)
% 1.40/1.73 % (3170)Instruction limit reached!
% 1.40/1.73 % (3170)------------------------------
% 1.40/1.73 % (3170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.73 % (3170)Termination reason: Unknown
% 1.40/1.73 % (3170)Termination phase: Saturation
% 1.40/1.73
% 1.40/1.73 % (3170)Memory used [KB]: 5628
% 1.40/1.73 % (3170)Time elapsed: 0.017 s
% 1.40/1.73 % (3170)Instructions burned: 32 (million)
% 1.40/1.73 % (3170)------------------------------
% 1.40/1.73 % (3170)------------------------------
% 1.40/1.73 % (3173)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_3011 for (2994ds/71Mi)
% 1.40/1.73 % (3158)Instruction limit reached!
% 1.40/1.73 % (3158)------------------------------
% 1.40/1.73 % (3158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.73 % (3158)Termination reason: Unknown
% 1.40/1.73 % (3158)Termination phase: Saturation
% 1.40/1.73
% 1.40/1.73 % (3158)Memory used [KB]: 6012
% 1.40/1.73 % (3158)Time elapsed: 0.214 s
% 1.40/1.73 % (3158)Instructions burned: 448 (million)
% 1.40/1.73 % (3158)------------------------------
% 1.40/1.73 % (3158)------------------------------
% 1.40/1.73 % (3172)Refutation not found, incomplete strategy
% 1.40/1.73 % (3172)------------------------------
% 1.40/1.73 % (3172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.73 % (3172)Termination reason: Refutation not found, incomplete strategy
% 1.40/1.73
% 1.40/1.73
% 1.40/1.73 % (3172)Memory used [KB]: 5628
% 1.40/1.73 % (3172)Time elapsed: 0.011 s
% 1.40/1.73 % (3172)Instructions burned: 19 (million)
% 1.40/1.73 % (3172)------------------------------
% 1.40/1.73 % (3172)------------------------------
% 1.40/1.74 % (3169)Instruction limit reached!
% 1.40/1.74 % (3169)------------------------------
% 1.40/1.74 % (3169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.74 % (3169)Termination reason: Unknown
% 1.40/1.74 % (3169)Termination phase: Saturation
% 1.40/1.74
% 1.40/1.74 % (3169)Memory used [KB]: 5884
% 1.40/1.74 % (3169)Time elapsed: 0.030 s
% 1.40/1.74 % (3169)Instructions burned: 63 (million)
% 1.40/1.74 % (3169)------------------------------
% 1.40/1.74 % (3169)------------------------------
% 1.40/1.74 % (3174)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_3011 for (2994ds/83Mi)
% 1.40/1.75 % (3175)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_3011 for (2994ds/11Mi)
% 1.40/1.75 % (3176)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_3011 for (2994ds/41Mi)
% 1.40/1.75 % (3175)Instruction limit reached!
% 1.40/1.75 % (3175)------------------------------
% 1.40/1.75 % (3175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.75 % (3175)Termination reason: Unknown
% 1.40/1.75 % (3175)Termination phase: Saturation
% 1.40/1.75
% 1.40/1.75 % (3175)Memory used [KB]: 5500
% 1.40/1.75 % (3175)Time elapsed: 0.007 s
% 1.40/1.75 % (3175)Instructions burned: 12 (million)
% 1.40/1.75 % (3175)------------------------------
% 1.40/1.75 % (3175)------------------------------
% 1.40/1.75 % (3177)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_3011 for (2994ds/6Mi)
% 1.40/1.75 % (3173)Instruction limit reached!
% 1.40/1.75 % (3173)------------------------------
% 1.40/1.75 % (3173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.75 % (3173)Termination reason: Unknown
% 1.40/1.75 % (3173)Termination phase: Saturation
% 1.40/1.75
% 1.40/1.75 % (3173)Memory used [KB]: 5756
% 1.40/1.75 % (3173)Time elapsed: 0.024 s
% 1.40/1.75 % (3173)Instructions burned: 71 (million)
% 1.40/1.75 % (3173)------------------------------
% 1.40/1.75 % (3173)------------------------------
% 1.40/1.76 % (3177)Instruction limit reached!
% 1.40/1.76 % (3177)------------------------------
% 1.40/1.76 % (3177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.76 % (3177)Termination reason: Unknown
% 1.40/1.76 % (3177)Termination phase: Saturation
% 1.40/1.76
% 1.40/1.76 % (3177)Memory used [KB]: 5500
% 1.40/1.76 % (3177)Time elapsed: 0.005 s
% 1.40/1.76 % (3177)Instructions burned: 7 (million)
% 1.40/1.76 % (3177)------------------------------
% 1.40/1.76 % (3177)------------------------------
% 1.40/1.76 % (3176)Refutation not found, incomplete strategy
% 1.40/1.76 % (3176)------------------------------
% 1.40/1.76 % (3176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.76 % (3176)Termination reason: Refutation not found, incomplete strategy
% 1.40/1.76
% 1.40/1.76
% 1.40/1.76 % (3176)Memory used [KB]: 5500
% 1.40/1.76 % (3176)Time elapsed: 0.009 s
% 1.40/1.76 % (3176)Instructions burned: 16 (million)
% 1.40/1.76 % (3176)------------------------------
% 1.40/1.76 % (3176)------------------------------
% 1.40/1.76 % (3179)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_3011 for (2994ds/343Mi)
% 1.40/1.76 % (3171)Instruction limit reached!
% 1.40/1.76 % (3171)------------------------------
% 1.40/1.76 % (3171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.76 % (3171)Termination reason: Unknown
% 1.40/1.76 % (3171)Termination phase: Saturation
% 1.40/1.76
% 1.40/1.76 % (3171)Memory used [KB]: 5884
% 1.40/1.77 % (3171)Time elapsed: 0.048 s
% 1.40/1.77 % (3171)Instructions burned: 96 (million)
% 1.40/1.77 % (3171)------------------------------
% 1.40/1.77 % (3171)------------------------------
% 1.40/1.77 % (3178)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_3011 for (2994ds/150Mi)
% 1.40/1.77 % (3180)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_3011 for (2994ds/109Mi)
% 1.40/1.77 % (3181)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_3011 for (2994ds/253Mi)
% 1.40/1.78 % (3182)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_3011 for (2994ds/140Mi)
% 1.40/1.79 % (3174)Instruction limit reached!
% 1.40/1.79 % (3174)------------------------------
% 1.40/1.79 % (3174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.79 % (3174)Termination reason: Unknown
% 1.40/1.79 % (3174)Termination phase: Saturation
% 1.40/1.79
% 1.40/1.79 % (3174)Memory used [KB]: 5884
% 1.40/1.79 % (3174)Time elapsed: 0.043 s
% 1.40/1.79 % (3174)Instructions burned: 83 (million)
% 1.40/1.79 % (3174)------------------------------
% 1.40/1.79 % (3174)------------------------------
% 1.40/1.80 % (3183)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_3011 for (2994ds/614Mi)
% 1.40/1.82 % (3180)Instruction limit reached!
% 1.40/1.82 % (3180)------------------------------
% 1.40/1.82 % (3180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.82 % (3180)Termination reason: Unknown
% 1.40/1.82 % (3180)Termination phase: Saturation
% 1.40/1.82
% 1.40/1.82 % (3180)Memory used [KB]: 6012
% 1.40/1.82 % (3180)Time elapsed: 0.052 s
% 1.40/1.82 % (3180)Instructions burned: 110 (million)
% 1.40/1.82 % (3180)------------------------------
% 1.40/1.82 % (3180)------------------------------
% 1.40/1.84 % (3184)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_3011 for (2994ds/202Mi)
% 1.40/1.84 % (3178)Instruction limit reached!
% 1.40/1.84 % (3178)------------------------------
% 1.40/1.84 % (3178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.84 % (3178)Termination reason: Unknown
% 1.40/1.84 % (3178)Termination phase: Saturation
% 1.40/1.84
% 1.40/1.84 % (3178)Memory used [KB]: 6012
% 1.40/1.84 % (3178)Time elapsed: 0.072 s
% 1.40/1.84 % (3178)Instructions burned: 152 (million)
% 1.40/1.84 % (3178)------------------------------
% 1.40/1.84 % (3178)------------------------------
% 1.40/1.84 % (3182)Instruction limit reached!
% 1.40/1.84 % (3182)------------------------------
% 1.40/1.84 % (3182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.84 % (3182)Termination reason: Unknown
% 1.40/1.84 % (3182)Termination phase: Saturation
% 1.40/1.84
% 1.40/1.84 % (3182)Memory used [KB]: 5756
% 1.40/1.84 % (3182)Time elapsed: 0.061 s
% 1.40/1.84 % (3182)Instructions burned: 140 (million)
% 1.40/1.84 % (3182)------------------------------
% 1.40/1.84 % (3182)------------------------------
% 1.40/1.85 % (3179)Instruction limit reached!
% 1.40/1.85 % (3179)------------------------------
% 1.40/1.85 % (3179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.85 % (3179)Termination reason: Unknown
% 1.40/1.85 % (3179)Termination phase: Saturation
% 1.40/1.85
% 1.40/1.85 % (3179)Memory used [KB]: 6012
% 1.40/1.85 % (3179)Time elapsed: 0.089 s
% 1.40/1.85 % (3179)Instructions burned: 345 (million)
% 1.40/1.85 % (3179)------------------------------
% 1.40/1.85 % (3179)------------------------------
% 1.40/1.86 % (3185)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_3011 for (2993ds/339Mi)
% 1.40/1.86 % (3187)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_3011 for (2993ds/283Mi)
% 1.40/1.86 % (3188)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_3011 for (2993ds/134Mi)
% 1.40/1.88 % (3168)First to succeed.
% 1.40/1.88 % (3168)Refutation found. Thanks to Tanya!
% 1.40/1.88 % SZS status Theorem for DTF2THF_3011
% 1.40/1.88 % SZS output start Proof for DTF2THF_3011
% 1.40/1.88 thf(type_def_5, type, a: $tType).
% 1.40/1.88 thf(func_def_0, type, a: $tType).
% 1.40/1.88 thf(func_def_15, type, ph0: !>[X0: $tType]:(X0)).
% 1.40/1.88 thf(func_def_16, type, sK1: a > a).
% 1.40/1.88 thf(func_def_17, type, sK2: a > a).
% 1.40/1.88 thf(func_def_18, type, sK3: a > a).
% 1.40/1.88 thf(func_def_19, type, sK4: (a > a) > $o).
% 1.40/1.88 thf(func_def_24, type, sK5: a > a).
% 1.40/1.88 thf(f285,plain,(
% 1.40/1.88 $false),
% 1.40/1.88 inference(trivial_inequality_removal,[status(thm)],[f280])).
% 1.40/1.88 thf(f280,plain,(
% 1.40/1.88 ($true = $false)),
% 1.40/1.88 inference(superposition,[status(thm)],[f64,f254])).
% 1.40/1.88 thf(f254,plain,(
% 1.40/1.88 (((sK4 @ (^[Y0 : a]: (sK5 @ (sK1 @ Y0)))) => (sK4 @ (^[Y0 : a]: (sK2 @ (sK5 @ (sK1 @ Y0)))))) = $false)),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f247])).
% 1.40/1.88 thf(f247,plain,(
% 1.40/1.88 (((^[Y0 : a > a]: ((sK4 @ (^[Y1 : a]: (Y0 @ (sK1 @ Y1)))) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ (sK1 @ Y1))))))) @ sK5) = $false)),
% 1.40/1.88 inference(sigma_clausification,[status(thm)],[f246])).
% 1.40/1.88 thf(f246,plain,(
% 1.40/1.88 ($false = (!! @ (a > a) @ (^[Y0 : a > a]: ((sK4 @ (^[Y1 : a]: (Y0 @ (sK1 @ Y1)))) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ (sK1 @ Y1)))))))))),
% 1.40/1.88 inference(not_proxy_clausification,[status(thm)],[f229])).
% 1.40/1.88 thf(f229,plain,(
% 1.40/1.88 ($true = (~ (!! @ (a > a) @ (^[Y0 : a > a]: ((sK4 @ (^[Y1 : a]: (Y0 @ (sK1 @ Y1)))) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ (sK1 @ Y1))))))))))),
% 1.40/1.88 inference(boolean_simplification,[status(thm)],[f228])).
% 1.40/1.88 thf(f228,plain,(
% 1.40/1.88 ($true = (~ ($true & (!! @ (a > a) @ (^[Y0 : a > a]: ((sK4 @ (^[Y1 : a]: (Y0 @ (sK1 @ Y1)))) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ (sK1 @ Y1)))))))))))),
% 1.40/1.88 inference(forward_demodulation,[status(thm)],[f190,f109])).
% 1.40/1.88 thf(f109,plain,(
% 1.40/1.88 ($true = (sK4 @ sK1))),
% 1.40/1.88 inference(boolean_simplification,[status(thm)],[f108])).
% 1.40/1.88 thf(f108,plain,(
% 1.40/1.88 ($true = ($true => (sK4 @ sK1)))),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f96])).
% 1.40/1.88 thf(f96,plain,(
% 1.40/1.88 ($true = ($true => ((^[Y0 : a > a]: (sK4 @ ((^[Y1 : a > a]: (Y1)) @ Y0))) @ sK1)))),
% 1.40/1.88 inference(superposition,[status(thm)],[f71,f40])).
% 1.40/1.88 thf(f40,plain,(
% 1.40/1.88 ($true = ((sK4 @ (^[Y0 : a]: (Y0))) & (!! @ (a > a) @ (^[Y0 : a > a]: ((sK4 @ Y0) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ Y1)))))))))),
% 1.40/1.88 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 1.40/1.88 thf(f37,plain,(
% 1.40/1.88 ($false = (((sK4 @ (^[Y0 : a]: (Y0))) & (!! @ (a > a) @ (^[Y0 : a > a]: ((sK4 @ Y0) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ Y1)))))))) => (sK4 @ (^[Y0 : a]: (sK3 @ (sK1 @ Y0))))))),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f35])).
% 1.40/1.88 thf(f35,plain,(
% 1.40/1.88 ($false = ((^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ (^[Y1 : a]: (sK3 @ (sK1 @ Y1)))))) @ sK4))),
% 1.40/1.88 inference(sigma_clausification,[status(thm)],[f33])).
% 1.40/1.88 thf(f33,plain,(
% 1.40/1.88 ($false = (!! @ ((a > a) > $o) @ (^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ (^[Y1 : a]: (sK3 @ (sK1 @ Y1))))))))),
% 1.40/1.88 inference(binary_proxy_clausification,[status(thm)],[f32])).
% 1.40/1.88 thf(f32,plain,(
% 1.40/1.88 ($false = (((!! @ ((a > a) > $o) @ (^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ sK3)))) & (!! @ ((a > a) > $o) @ (^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ sK1))))) => (!! @ ((a > a) > $o) @ (^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ (^[Y1 : a]: (sK3 @ (sK1 @ Y1)))))))))),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f31])).
% 1.40/1.88 thf(f31,plain,(
% 1.40/1.88 (((^[Y0 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y1 : (a > a) > $o]: (((Y1 @ (^[Y2 : a]: (Y2))) & (!! @ (a > a) @ (^[Y2 : a > a]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : a]: (sK2 @ (Y2 @ Y3)))))))) => (Y1 @ Y0)))) & (!! @ ((a > a) > $o) @ (^[Y1 : (a > a) > $o]: (((Y1 @ (^[Y2 : a]: (Y2))) & (!! @ (a > a) @ (^[Y2 : a > a]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : a]: (sK2 @ (Y2 @ Y3)))))))) => (Y1 @ sK1))))) => (!! @ ((a > a) > $o) @ (^[Y1 : (a > a) > $o]: (((Y1 @ (^[Y2 : a]: (Y2))) & (!! @ (a > a) @ (^[Y2 : a > a]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : a]: (sK2 @ (Y2 @ Y3)))))))) => (Y1 @ (^[Y2 : a]: (Y0 @ (sK1 @ Y2))))))))) @ sK3) = $false)),
% 1.40/1.88 inference(sigma_clausification,[status(thm)],[f30])).
% 1.40/1.88 thf(f30,plain,(
% 1.40/1.88 ($false = (!! @ (a > a) @ (^[Y0 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y1 : (a > a) > $o]: (((Y1 @ (^[Y2 : a]: (Y2))) & (!! @ (a > a) @ (^[Y2 : a > a]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : a]: (sK2 @ (Y2 @ Y3)))))))) => (Y1 @ Y0)))) & (!! @ ((a > a) > $o) @ (^[Y1 : (a > a) > $o]: (((Y1 @ (^[Y2 : a]: (Y2))) & (!! @ (a > a) @ (^[Y2 : a > a]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : a]: (sK2 @ (Y2 @ Y3)))))))) => (Y1 @ sK1))))) => (!! @ ((a > a) > $o) @ (^[Y1 : (a > a) > $o]: (((Y1 @ (^[Y2 : a]: (Y2))) & (!! @ (a > a) @ (^[Y2 : a > a]: ((Y1 @ Y2) => (Y1 @ (^[Y3 : a]: (sK2 @ (Y2 @ Y3)))))))) => (Y1 @ (^[Y2 : a]: (Y0 @ (sK1 @ Y2)))))))))))),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f29])).
% 1.40/1.88 thf(f29,plain,(
% 1.40/1.88 (((^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y2 : (a > a) > $o]: (((Y2 @ (^[Y3 : a]: (Y3))) & (!! @ (a > a) @ (^[Y3 : a > a]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : a]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ Y1)))) & (!! @ ((a > a) > $o) @ (^[Y2 : (a > a) > $o]: (((Y2 @ (^[Y3 : a]: (Y3))) & (!! @ (a > a) @ (^[Y3 : a > a]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : a]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ sK1))))) => (!! @ ((a > a) > $o) @ (^[Y2 : (a > a) > $o]: (((Y2 @ (^[Y3 : a]: (Y3))) & (!! @ (a > a) @ (^[Y3 : a > a]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : a]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : a]: (Y1 @ (sK1 @ Y3))))))))))) @ sK2) = $false)),
% 1.40/1.88 inference(sigma_clausification,[status(thm)],[f23])).
% 1.40/1.88 thf(f23,plain,(
% 1.40/1.88 ((!! @ (a > a) @ (^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y2 : (a > a) > $o]: (((Y2 @ (^[Y3 : a]: (Y3))) & (!! @ (a > a) @ (^[Y3 : a > a]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : a]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ Y1)))) & (!! @ ((a > a) > $o) @ (^[Y2 : (a > a) > $o]: (((Y2 @ (^[Y3 : a]: (Y3))) & (!! @ (a > a) @ (^[Y3 : a > a]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : a]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ sK1))))) => (!! @ ((a > a) > $o) @ (^[Y2 : (a > a) > $o]: (((Y2 @ (^[Y3 : a]: (Y3))) & (!! @ (a > a) @ (^[Y3 : a > a]: ((Y2 @ Y3) => (Y2 @ (^[Y4 : a]: (Y0 @ (Y3 @ Y4)))))))) => (Y2 @ (^[Y3 : a]: (Y1 @ (sK1 @ Y3)))))))))))) = $false)),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f20])).
% 1.40/1.88 thf(f20,plain,(
% 1.40/1.88 (((^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y2)))) & (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y0))))) => (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ (^[Y4 : a]: (Y2 @ (Y0 @ Y4))))))))))))) @ sK1) = $false)),
% 1.40/1.88 inference(sigma_clausification,[status(thm)],[f10])).
% 1.40/1.88 thf(f10,plain,(
% 1.40/1.88 ($false = (!! @ (a > a) @ (^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y2)))) & (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y0))))) => (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ (^[Y4 : a]: (Y2 @ (Y0 @ Y4)))))))))))))))),
% 1.40/1.88 inference(binary_proxy_clausification,[status(thm)],[f9])).
% 1.40/1.88 thf(f9,plain,(
% 1.40/1.88 (((!! @ (a > a) @ (^[Y0 : a > a]: ($true))) => (!! @ (a > a) @ (^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y2)))) & (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y0))))) => (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ (^[Y4 : a]: (Y2 @ (Y0 @ Y4))))))))))))))) = $false)),
% 1.40/1.88 inference(not_proxy_clausification,[status(thm)],[f8])).
% 1.40/1.88 thf(f8,plain,(
% 1.40/1.88 ($true = (~ ((!! @ (a > a) @ (^[Y0 : a > a]: ($true))) => (!! @ (a > a) @ (^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y2)))) & (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y0))))) => (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ (^[Y4 : a]: (Y2 @ (Y0 @ Y4)))))))))))))))))),
% 1.40/1.88 inference(boolean_simplification,[status(thm)],[f7])).
% 1.40/1.88 thf(f7,plain,(
% 1.40/1.88 ($true = (~ ((!! @ (a > a) @ (^[Y0 : a > a]: (Y0 = Y0))) => (!! @ (a > a) @ (^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y2)))) & (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y0))))) => (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ (^[Y4 : a]: (Y2 @ (Y0 @ Y4)))))))))))))))))),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f6])).
% 1.40/1.88 thf(f6,plain,(
% 1.40/1.88 ($true = (~ ((!! @ (a > a) @ (^[Y0 : a > a]: (Y0 = (^[Y1 : a]: (Y0 @ Y1))))) => (!! @ (a > a) @ (^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y2)))) & (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y0))))) => (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ (^[Y4 : a]: (Y2 @ (Y0 @ Y4)))))))))))))))))),
% 1.40/1.88 inference(cnf_transformation,[status(thm)],[f5])).
% 1.40/1.88 thf(f5,plain,(
% 1.40/1.88 ($true = (~ ((!! @ (a > a) @ (^[Y0 : a > a]: (Y0 = (^[Y1 : a]: (Y0 @ Y1))))) => (!! @ (a > a) @ (^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y2)))) & (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ Y0))))) => (!! @ ((a > a) > $o) @ (^[Y3 : (a > a) > $o]: (((Y3 @ (^[Y4 : a]: (Y4))) & (!! @ (a > a) @ (^[Y4 : a > a]: ((Y3 @ Y4) => (Y3 @ (^[Y5 : a]: (Y1 @ (Y4 @ Y5)))))))) => (Y3 @ (^[Y4 : a]: (Y2 @ (Y0 @ Y4)))))))))))))))))),
% 1.40/1.88 inference(fool_elimination,[status(thm)],[f4])).
% 1.40/1.88 thf(f4,plain,(
% 1.40/1.88 ~(! [X0 : a > a] : (X0 = (^[X1 : a] : (X0 @ X1))) => ! [X2 : a > a,X3 : a > a,X4 : a > a] : ((! [X5 : (a > a) > $o] : ((! [X6 : a > a] : ((X5 @ X6) => (X5 @ (^[X7 : a] : (X3 @ (X6 @ X7))))) & (X5 @ (^[X8 : a] : (X8)))) => (X5 @ X4)) & ! [X9 : (a > a) > $o] : ((! [X10 : a > a] : ((X9 @ X10) => (X9 @ (^[X11 : a] : (X3 @ (X10 @ X11))))) & (X9 @ (^[X12 : a] : (X12)))) => (X9 @ X2))) => ! [X13 : (a > a) > $o] : ((! [X14 : a > a] : ((X13 @ X14) => (X13 @ (^[X15 : a] : (X3 @ (X14 @ X15))))) & (X13 @ (^[X16 : a] : (X16)))) => (X13 @ (^[X17 : a] : (X2 @ (X4 @ X17)))))))),
% 1.40/1.88 inference(rectify,[status(thm)],[f2])).
% 1.40/1.88 thf(f2,negated_conjecture,(
% 1.40/1.88 ~(! [X0 : a > a] : (X0 = (^[X1 : a] : (X0 @ X1))) => ! [X3 : a > a,X2 : a > a,X4 : a > a] : ((! [X5 : (a > a) > $o] : ((! [X7 : a > a] : ((X5 @ X7) => (X5 @ (^[X1 : a] : (X2 @ (X7 @ X1))))) & (X5 @ (^[X6 : a] : (X6)))) => (X5 @ X4)) & ! [X5 : (a > a) > $o] : ((! [X7 : a > a] : ((X5 @ X7) => (X5 @ (^[X1 : a] : (X2 @ (X7 @ X1))))) & (X5 @ (^[X6 : a] : (X6)))) => (X5 @ X3))) => ! [X5 : (a > a) > $o] : ((! [X7 : a > a] : ((X5 @ X7) => (X5 @ (^[X1 : a] : (X2 @ (X7 @ X1))))) & (X5 @ (^[X6 : a] : (X6)))) => (X5 @ (^[X1 : a] : (X3 @ (X4 @ X1)))))))),
% 1.40/1.88 inference(negated_conjecture,[status(cth)],[f1])).
% 1.40/1.88 thf(f1,conjecture,(
% 1.40/1.88 ! [X0 : a > a] : (X0 = (^[X1 : a] : (X0 @ X1))) => ! [X3 : a > a,X2 : a > a,X4 : a > a] : ((! [X5 : (a > a) > $o] : ((! [X7 : a > a] : ((X5 @ X7) => (X5 @ (^[X1 : a] : (X2 @ (X7 @ X1))))) & (X5 @ (^[X6 : a] : (X6)))) => (X5 @ X4)) & ! [X5 : (a > a) > $o] : ((! [X7 : a > a] : ((X5 @ X7) => (X5 @ (^[X1 : a] : (X2 @ (X7 @ X1))))) & (X5 @ (^[X6 : a] : (X6)))) => (X5 @ X3))) => ! [X5 : (a > a) > $o] : ((! [X7 : a > a] : ((X5 @ X7) => (X5 @ (^[X1 : a] : (X2 @ (X7 @ X1))))) & (X5 @ (^[X6 : a] : (X6)))) => (X5 @ (^[X1 : a] : (X3 @ (X4 @ X1))))))),
% 1.40/1.88 file('/export/starexec/sandbox/tmp/tmp.OlYb6xZcpL/DTF2THF_3011.p',cTHM135C_pme)).
% 1.40/1.88 thf(f71,plain,(
% 1.40/1.88 ( ! [X1 : (a > a) > $o] : (($true = (((X1 @ (^[Y0 : a]: (Y0))) & (!! @ (a > a) @ (^[Y0 : a > a]: ((X1 @ Y0) => (X1 @ (^[Y1 : a]: (sK2 @ (Y0 @ Y1)))))))) => (X1 @ sK1)))) )),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f67])).
% 1.40/1.88 thf(f67,plain,(
% 1.40/1.88 ( ! [X1 : (a > a) > $o] : (($true = ((^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ sK1))) @ X1))) )),
% 1.40/1.88 inference(pi_clausification,[status(thm)],[f43])).
% 1.40/1.88 thf(f43,plain,(
% 1.40/1.88 ((!! @ ((a > a) > $o) @ (^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ sK1)))) = $true)),
% 1.40/1.88 inference(binary_proxy_clausification,[status(thm)],[f34])).
% 1.40/1.88 thf(f34,plain,(
% 1.40/1.88 ($true = ((!! @ ((a > a) > $o) @ (^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ sK3)))) & (!! @ ((a > a) > $o) @ (^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ sK1))))))),
% 1.40/1.88 inference(binary_proxy_clausification,[status(thm)],[f32])).
% 1.40/1.88 thf(f190,plain,(
% 1.40/1.88 ($true = (~ ((sK4 @ sK1) & (!! @ (a > a) @ (^[Y0 : a > a]: ((sK4 @ (^[Y1 : a]: (Y0 @ (sK1 @ Y1)))) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ (sK1 @ Y1)))))))))))),
% 1.40/1.88 inference(boolean_simplification,[status(thm)],[f189])).
% 1.40/1.88 thf(f189,plain,(
% 1.40/1.88 ($true = (((sK4 @ sK1) & (!! @ (a > a) @ (^[Y0 : a > a]: ((sK4 @ (^[Y1 : a]: (Y0 @ (sK1 @ Y1)))) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ (sK1 @ Y1))))))))) => $false))),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f160])).
% 1.40/1.88 thf(f160,plain,(
% 1.40/1.88 (((((^[Y0 : a > a]: (sK4 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK1 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ (^[Y0 : a]: (Y0))) & (!! @ (a > a) @ (^[Y0 : a > a]: (((^[Y1 : a > a]: (sK4 @ ((^[Y2 : a > a]: ((^[Y3 : a]: (Y2 @ ((^[Y4 : a > a]: ((^[Y5 : a]: (sK1 @ ((^[Y6 : a > a]: ((^[Y7 : a]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1))) @ Y0) => ((^[Y1 : a > a]: (sK4 @ ((^[Y2 : a > a]: ((^[Y3 : a]: (Y2 @ ((^[Y4 : a > a]: ((^[Y5 : a]: (sK1 @ ((^[Y6 : a > a]: ((^[Y7 : a]: (Y7)))) @ Y4 @ Y5))))) @ Y2 @ Y3))))) @ Y1))) @ (^[Y1 : a]: (sK2 @ (Y0 @ Y1)))))))) => $false) = $true)),
% 1.40/1.88 inference(superposition,[status(thm)],[f142,f39])).
% 1.40/1.88 thf(f39,plain,(
% 1.40/1.88 ((sK4 @ (^[Y0 : a]: (sK3 @ (sK1 @ Y0)))) = $false)),
% 1.40/1.88 inference(binary_proxy_clausification,[status(thm)],[f37])).
% 1.40/1.88 thf(f142,plain,(
% 1.40/1.88 ( ! [X1 : (a > a) > $o] : (($true = (((X1 @ (^[Y0 : a]: (Y0))) & (!! @ (a > a) @ (^[Y0 : a > a]: ((X1 @ Y0) => (X1 @ (^[Y1 : a]: (sK2 @ (Y0 @ Y1)))))))) => (X1 @ sK3)))) )),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f138])).
% 1.40/1.88 thf(f138,plain,(
% 1.40/1.88 ( ! [X1 : (a > a) > $o] : (($true = ((^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ sK3))) @ X1))) )),
% 1.40/1.88 inference(pi_clausification,[status(thm)],[f44])).
% 1.40/1.88 thf(f44,plain,(
% 1.40/1.88 ($true = (!! @ ((a > a) > $o) @ (^[Y0 : (a > a) > $o]: (((Y0 @ (^[Y1 : a]: (Y1))) & (!! @ (a > a) @ (^[Y1 : a > a]: ((Y0 @ Y1) => (Y0 @ (^[Y2 : a]: (sK2 @ (Y1 @ Y2)))))))) => (Y0 @ sK3)))))),
% 1.40/1.88 inference(binary_proxy_clausification,[status(thm)],[f34])).
% 1.40/1.88 thf(f64,plain,(
% 1.40/1.88 ( ! [X1 : a > a] : (($true = ((sK4 @ X1) => (sK4 @ (^[Y0 : a]: (sK2 @ (X1 @ Y0))))))) )),
% 1.40/1.88 inference(beta_eta_normalization,[status(thm)],[f59])).
% 1.40/1.88 thf(f59,plain,(
% 1.40/1.88 ( ! [X1 : a > a] : (($true = ((^[Y0 : a > a]: ((sK4 @ Y0) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ Y1)))))) @ X1))) )),
% 1.40/1.88 inference(pi_clausification,[status(thm)],[f47])).
% 1.40/1.88 thf(f47,plain,(
% 1.40/1.88 ($true = (!! @ (a > a) @ (^[Y0 : a > a]: ((sK4 @ Y0) => (sK4 @ (^[Y1 : a]: (sK2 @ (Y0 @ Y1))))))))),
% 1.40/1.88 inference(binary_proxy_clausification,[status(thm)],[f40])).
% 1.40/1.88 % SZS output end Proof for DTF2THF_3011
% 1.40/1.88 % (3168)------------------------------
% 1.40/1.88 % (3168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.88 % (3168)Termination reason: Refutation
% 1.40/1.88
% 1.40/1.88 % (3168)Memory used [KB]: 3198
% 1.40/1.88 % (3168)Time elapsed: 0.199 s
% 1.40/1.88 % (3168)Instructions burned: 426 (million)
% 1.40/1.88 % (3168)------------------------------
% 1.40/1.88 % (3168)------------------------------
% 1.40/1.88 % (3112)Success in time 0.654 s
%------------------------------------------------------------------------------