%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV317^5 : 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 : n024.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 09:40:49 AM UTC 2026
% Result : Theorem 30.90s 5.79s
% Output : Refutation 30.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 3
% Syntax : Number of formulae : 87 ( 41 unt; 0 typ; 2 def)
% Number of atoms : 711 ( 122 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 2163 ( 28 ~; 63 |; 108 &;1611 @)
% ( 2 <=>; 159 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 149 ( 149 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 6 con; 0-2 aty)
% ( 178 !!; 14 ??; 0 @@+; 0 @@-)
% Number of variables : 415 ( 295 ^; 117 !; 3 ?; 415 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_16,type,
sK1: a > a > $o ).
thf(func_def_17,type,
sK2: ( a > $o ) > a ).
thf(func_def_18,type,
sK3: a > a ).
thf(func_def_19,type,
sK4: ( a > $o ) > a > a ).
thf(func_def_20,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f1119,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f556,f566,f1114]) ).
thf(f1114,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[status(thm)],[f1113]) ).
thf(f1113,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1093]) ).
thf(f1093,plain,
( ( $false = $true )
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f574,f1090]) ).
thf(f1090,plain,
( ( $false
= ( sK1
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
@ ( sK3
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1089]) ).
thf(f1089,plain,
( ( ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1083]) ).
thf(f1083,plain,
( ( ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
= $false )
| ( $false = $true )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f1078,f37]) ).
thf(f37,plain,
! [X2: a,X1: a > $o] :
( ( ( sK1 @ X2 @ ( sK2 @ X1 ) )
= $true )
| ( $false
= ( X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f36]) ).
thf(f36,plain,
! [X2: a,X1: a > $o] :
( $true
= ( ( X1 @ X2 )
=> ( sK1 @ X2 @ ( sK2 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f35]) ).
thf(f35,plain,
! [X2: a,X1: a > $o] :
( $true
= ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X1: a > $o] :
( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f32]) ).
thf(f32,plain,
! [X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK1 @ Y1 @ Y0 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f31]) ).
thf(f31,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK1 @ Y2 @ Y1 ) ) )
=> ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK1 @ Y2 @ Y1 ) ) )
=> ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK1 @ Y2 @ Y1 ) ) )
=> ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( sK1 @ Y2 @ Y1 ) ) )
=> ( sK1 @ ( sK2 @ Y0 ) @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK1 @ Y1 @ ( sK2 @ Y0 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
=> ( sK1 @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ ( Y0 @ Y1 ) @ Y1 )
& ( sK1 @ Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f13]) ).
thf(f13,plain,
( ( ^ [Y0: ( a > $o ) > a] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y1 @ Y3 )
& ( sK1 @ Y2 @ Y1 ) )
=> ( sK1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( sK1 @ Y3 @ Y2 ) ) )
=> ( sK1 @ ( Y0 @ Y1 ) @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK1 @ ( Y1 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ ( Y1 @ Y2 ) @ Y2 )
& ( sK1 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
( ( !! @ ( ( a > $o ) > a )
@ ^ [Y0: ( a > $o ) > a] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y1 @ Y3 )
& ( sK1 @ Y2 @ Y1 ) )
=> ( sK1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( sK1 @ Y3 @ Y2 ) ) )
=> ( sK1 @ ( Y0 @ Y1 ) @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK1 @ Y2 @ ( Y0 @ Y1 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK1 @ ( Y1 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( sK1 @ ( Y1 @ Y2 ) @ Y2 )
& ( sK1 @ Y2 @ ( Y1 @ Y2 ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
( ( ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y4 )
& ( Y2 @ Y4 ) )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y4 )
& ( Y2 @ Y4 ) )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
& ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y4 )
& ( Y2 @ Y4 ) )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
& ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( ( a > $o ) > a )
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y4 )
& ( Y2 @ Y4 ) )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( ( Y0 @ ( Y1 @ Y2 ) @ Y3 )
& ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) ) )
=> ( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y0 @ ( Y2 @ Y3 ) @ Y3 )
& ( Y0 @ Y3 @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > $o ) > a,X1: a > a > $o] :
( ( ! [X2: a > $o] :
( ! [X3: a] :
( ( X2 @ X3 )
=> ( X1 @ X3 @ ( X0 @ X2 ) ) )
& ! [X4: a] :
( ( X2 @ X4 )
=> ( X1 @ X4 @ ( X0 @ X2 ) ) )
& ! [X5: a] :
( ! [X6: a] :
( ( ( X2 @ X6 )
& ( X2 @ X6 ) )
=> ( X1 @ X6 @ X5 ) )
=> ( ( X1 @ ( X0 @ X2 ) @ X5 )
& ( X1 @ ( X0 @ X2 ) @ X5 ) ) ) )
& ! [X7: a,X8: a,X9: a] :
( ( ( X1 @ X8 @ X9 )
& ( X1 @ X9 @ X7 ) )
=> ( X1 @ X8 @ X7 ) ) )
=> ! [X10: a > a] :
( ( ! [X11: a,X12: a] :
( ( X1 @ X12 @ X11 )
=> ( X1 @ ( X10 @ X12 ) @ ( X10 @ X11 ) ) )
& ! [X13: a,X14: a] :
( ( X1 @ X14 @ X13 )
=> ( X1 @ ( X10 @ X14 ) @ ( X10 @ X13 ) ) ) )
=> ? [X15: a] :
( ( X1 @ X15 @ ( X10 @ X15 ) )
& ( X1 @ ( X10 @ X15 ) @ X15 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: ( a > $o ) > a,X0: a > a > $o] :
( ( ! [X5: a > $o] :
( ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) )
& ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) )
& ! [X6: a] :
( ! [X7: a] :
( ( ( X5 @ X7 )
& ( X5 @ X7 ) )
=> ( X0 @ X7 @ X6 ) )
=> ( ( X0 @ ( X1 @ X5 ) @ X6 )
& ( X0 @ ( X1 @ X5 ) @ X6 ) ) ) )
& ! [X4: a,X2: a,X3: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X3 @ X4 ) )
=> ( X0 @ X2 @ X4 ) ) )
=> ! [X8: a > a] :
( ( ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) )
& ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) ) )
=> ? [X9: a] :
( ( X0 @ X9 @ ( X8 @ X9 ) )
& ( X0 @ ( X8 @ X9 ) @ X9 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: ( a > $o ) > a,X0: a > a > $o] :
( ( ! [X5: a > $o] :
( ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) )
& ! [X4: a] :
( ( X5 @ X4 )
=> ( X0 @ X4 @ ( X1 @ X5 ) ) )
& ! [X6: a] :
( ! [X7: a] :
( ( ( X5 @ X7 )
& ( X5 @ X7 ) )
=> ( X0 @ X7 @ X6 ) )
=> ( ( X0 @ ( X1 @ X5 ) @ X6 )
& ( X0 @ ( X1 @ X5 ) @ X6 ) ) ) )
& ! [X4: a,X2: a,X3: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X3 @ X4 ) )
=> ( X0 @ X2 @ X4 ) ) )
=> ! [X8: a > a] :
( ( ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) )
& ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ ( X8 @ X2 ) @ ( X8 @ X3 ) ) ) )
=> ? [X9: a] :
( ( X0 @ X9 @ ( X8 @ X9 ) )
& ( X0 @ ( X8 @ X9 ) @ X9 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6rDJ5lh5h9/DTF2THF_13069.p',cTHM145_A_pme) ).
thf(f1078,plain,
( ( ( sK1
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) )
= $false )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1076]) ).
thf(f1076,plain,
( ( $false = $true )
| ( ( sK1
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) )
= $false )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f25,f1070]) ).
thf(f1070,plain,
( ( ( sK1
@ ( sK3
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1069]) ).
thf(f1069,plain,
( ( ( sK1
@ ( sK3
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
= $false )
| ( $false = $true )
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1059,f551]) ).
thf(f551,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f549]) ).
thf(f549,definition,
( spl0_1
<=> ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f1059,plain,
( ( ( sK1
@ ( sK3
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
= $false )
| ( ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1032]) ).
thf(f1032,plain,
( ( ( sK1
@ ( sK3
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
= $false )
| ( ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
= $true )
| ( $false = $true )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f574,f87]) ).
thf(f87,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( ( sK1 @ ( sK4 @ X0 @ X1 ) @ X2 )
= $false )
| ( ( sK1 @ ( sK2 @ X0 ) @ X1 )
= $true )
| ( $false
= ( sK1 @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f85]) ).
thf(f85,plain,
! [X2: a,X0: a > $o,X1: a] :
( ( ( sK1 @ ( sK2 @ X0 ) @ X1 )
= $true )
| ( $false = $true )
| ( $false
= ( sK1 @ X2 @ X1 ) )
| ( ( sK1 @ ( sK4 @ X0 @ X1 ) @ X2 )
= $false ) ),
inference(superposition,[status(thm)],[f57,f48]) ).
thf(f48,plain,
! [X2: a,X1: a > $o] :
( ( $false
= ( sK1 @ ( sK4 @ X1 @ X2 ) @ X2 ) )
| ( ( sK1 @ ( sK2 @ X1 ) @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
! [X2: a,X1: a > $o] :
( ( ( sK1 @ ( sK2 @ X1 ) @ X2 )
= $true )
| ( $false
= ( ( X1 @ ( sK4 @ X1 @ X2 ) )
=> ( sK1 @ ( sK4 @ X1 @ X2 ) @ X2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f46]) ).
thf(f46,plain,
! [X2: a,X1: a > $o] :
( ( ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ X2 ) )
@ ( sK4 @ X1 @ X2 ) )
= $false )
| ( ( sK1 @ ( sK2 @ X1 ) @ X2 )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f45]) ).
thf(f45,plain,
! [X2: a,X1: a > $o] :
( ( ( sK1 @ ( sK2 @ X1 ) @ X2 )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ X2 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f44]) ).
thf(f44,plain,
! [X2: a,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ X2 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ X2 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f43]) ).
thf(f43,plain,
! [X2: a,X1: a > $o] :
( ( ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK1 @ Y1 @ Y0 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X1: a > $o] :
( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK1 @ Y1 @ Y0 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( sK1 @ Y1 @ Y0 ) ) )
=> ( sK1 @ ( sK2 @ X1 ) @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK1 @ Y0 @ ( sK2 @ X1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f32]) ).
thf(f57,plain,
! [X2: a,X3: a,X1: a] :
( ( $true
= ( sK1 @ X2 @ X3 ) )
| ( $false
= ( sK1 @ X1 @ X3 ) )
| ( $false
= ( sK1 @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f56]) ).
thf(f56,plain,
! [X2: a,X3: a,X1: a] :
( ( $true
= ( sK1 @ X2 @ X3 ) )
| ( $false
= ( ( sK1 @ X1 @ X3 )
& ( sK1 @ X2 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f55]) ).
thf(f55,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK1 @ X1 @ X3 )
& ( sK1 @ X2 @ X1 ) )
=> ( sK1 @ X2 @ X3 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK1 @ X1 @ Y0 )
& ( sK1 @ X2 @ X1 ) )
=> ( sK1 @ X2 @ Y0 ) )
@ X3 ) ),
inference(pi_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ X1 @ Y0 )
& ( sK1 @ X2 @ X1 ) )
=> ( sK1 @ X2 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f52]) ).
thf(f52,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ X1 @ Y1 )
& ( sK1 @ Y0 @ X1 ) )
=> ( sK1 @ Y0 @ Y1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f51]) ).
thf(f51,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ X1 @ Y1 )
& ( sK1 @ Y0 @ X1 ) )
=> ( sK1 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f50]) ).
thf(f50,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ Y1 @ Y2 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f30]) ).
thf(f30,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y2 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f16]) ).
thf(f25,plain,
! [X2: a,X1: a] :
( ( ( sK1 @ ( sK3 @ X1 ) @ ( sK3 @ X2 ) )
= $true )
| ( $false
= ( sK1 @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f24]) ).
thf(f24,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK1 @ X1 @ X2 )
=> ( sK1 @ ( sK3 @ X1 ) @ ( sK3 @ X2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f23]) ).
thf(f23,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
=> ( sK1 @ ( sK3 @ X1 ) @ ( sK3 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
=> ( sK1 @ ( sK3 @ X1 ) @ ( sK3 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK1 @ ( sK3 @ Y0 ) @ ( sK3 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK1 @ ( sK3 @ Y0 ) @ ( sK3 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK1 @ ( sK3 @ Y0 ) @ ( sK3 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y0: a] :
( ( sK1 @ ( sK3 @ Y0 ) @ Y0 )
& ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f17]) ).
thf(f17,plain,
( $false
= ( ^ [Y0: a > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
=> ( sK1 @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ ( Y0 @ Y1 ) @ Y1 )
& ( sK1 @ Y1 @ ( Y0 @ Y1 ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( $false
= ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
=> ( sK1 @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( sK1 @ ( Y0 @ Y1 ) @ Y1 )
& ( sK1 @ Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f574,plain,
( ( $true
= ( sK1
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) )
@ ( sK3
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f573]) ).
thf(f573,plain,
( ( ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f567]) ).
thf(f567,plain,
( ( ( ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK4
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
= $true )
| ( $false = $true )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f551,f49]) ).
thf(f49,plain,
! [X2: a,X1: a > $o] :
( ( ( sK1 @ ( sK2 @ X1 ) @ X2 )
= $true )
| ( ( X1 @ ( sK4 @ X1 @ X2 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f566,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f561,f553,f549]) ).
thf(f553,definition,
( spl0_2
<=> ( ( sK1
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) )
@ ( sK3
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f561,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f557]) ).
thf(f557,plain,
( ( $false = $true )
| ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f555,f25]) ).
thf(f555,plain,
( ( ( sK1
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) )
@ ( sK3
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f553]) ).
thf(f556,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f533,f553,f549]) ).
thf(f533,plain,
( ( $false
= ( sK1
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
| ( ( sK1
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) )
@ ( sK3
@ ( sK3
@ ( sK2
@ ^ [Y0: a] : ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f532]) ).
thf(f532,plain,
( ( ( ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK3
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK3
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) ) ) ) )
= $false )
| ( ( ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK3
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) )
@ ( sK2
@ ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK3
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) ) ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f527]) ).
thf(f527,plain,
( ( ( ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK3
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) )
@ ( sK3
@ ( sK2
@ ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK3
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) ) ) ) )
= $false )
| ( ( ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK3
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) )
@ ( sK2
@ ^ [Y0: a] :
( sK1
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] :
( sK3
@ ( ^ [Y2: a] : Y2
@ Y1 ) )
@ Y0 ) ) ) )
= $false )
| ( $false != $false ) ),
inference(equality_factoring,[status(thm)],[f178]) ).
thf(f178,plain,
! [X0: a > $o,X1: a > $o] :
( ( $false
= ( sK1 @ ( sK2 @ X1 ) @ ( sK3 @ ( sK2 @ X1 ) ) ) )
| ( $false
= ( X1 @ ( sK2 @ X0 ) ) )
| ( ( X0 @ ( sK3 @ ( sK2 @ X1 ) ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f169]) ).
thf(f169,plain,
! [X0: a > $o,X1: a > $o] :
( ( ( X0 @ ( sK3 @ ( sK2 @ X1 ) ) )
= $false )
| ( $false = $true )
| ( $false
= ( sK1 @ ( sK2 @ X1 ) @ ( sK3 @ ( sK2 @ X1 ) ) ) )
| ( $false
= ( X1 @ ( sK2 @ X0 ) ) ) ),
inference(superposition,[status(thm)],[f99,f37]) ).
thf(f99,plain,
! [X0: a,X1: a > $o] :
( ( ( sK1 @ ( sK2 @ X1 ) @ X0 )
= $false )
| ( ( sK1 @ X0 @ ( sK3 @ X0 ) )
= $false )
| ( $false
= ( X1 @ ( sK3 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f91]) ).
thf(f91,plain,
! [X0: a,X1: a > $o] :
( ( ( sK1 @ X0 @ ( sK3 @ X0 ) )
= $false )
| ( $false
= ( X1 @ ( sK3 @ X0 ) ) )
| ( $false = $true )
| ( ( sK1 @ ( sK2 @ X1 ) @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f72,f37]) ).
thf(f72,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ ( sK3 @ X0 ) @ X1 )
= $false )
| ( ( sK1 @ X1 @ X0 )
= $false )
| ( ( sK1 @ X0 @ ( sK3 @ X0 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f68]) ).
thf(f68,plain,
! [X0: a,X1: a] :
( ( ( sK1 @ X0 @ ( sK3 @ X0 ) )
= $false )
| ( ( sK1 @ X1 @ X0 )
= $false )
| ( $false = $true )
| ( ( sK1 @ ( sK3 @ X0 ) @ X1 )
= $false ) ),
inference(superposition,[status(thm)],[f57,f28]) ).
thf(f28,plain,
! [X1: a] :
( ( ( sK1 @ ( sK3 @ X1 ) @ X1 )
= $false )
| ( ( sK1 @ X1 @ ( sK3 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f27]) ).
thf(f27,plain,
! [X1: a] :
( $false
= ( ( sK1 @ ( sK3 @ X1 ) @ X1 )
& ( sK1 @ X1 @ ( sK3 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f26]) ).
thf(f26,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ( sK1 @ ( sK3 @ Y0 ) @ Y0 )
& ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
( ( ?? @ a
@ ^ [Y0: a] :
( ( sK1 @ ( sK3 @ Y0 ) @ Y0 )
& ( sK1 @ Y0 @ ( sK3 @ Y0 ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SEV317^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Feb 24 07:43:55 EST 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 ---- Original DTF file ---
% 0.17/0.34 thf(spec,logic,$$dhol).
% 0.17/0.34 %------------------------------------------------------------------------------
% 0.17/0.34 % File : SEV317^5 : TPTP v9.2.1. Released v4.0.0.
% 0.17/0.34 % Domain : Set Theory
% 0.17/0.34 % Problem : TPS problem THM145-A
% 0.17/0.34 % Version : Especial.
% 0.17/0.34 % English : Related to the Knaster-Tarski theorem.
% 0.17/0.34
% 0.17/0.34 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.34 % Source : [Bro09]
% 0.17/0.34 % Names : tps_0496 [Bro09]
% 0.17/0.34 % : THM145-A [TPS]
% 0.17/0.34
% 0.17/0.34 % Status : Theorem
% 0.17/0.34 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.83 v8.2.0, 0.82 v8.1.0, 0.83 v7.5.0, 0.92 v7.4.0, 0.89 v7.3.0, 0.90 v7.2.0, 0.88 v7.1.0, 0.86 v7.0.0, 0.88 v6.4.0, 0.86 v6.3.0, 0.83 v5.5.0, 0.80 v5.4.0, 0.75 v5.3.0, 1.00 v5.1.0, 0.75 v4.1.0, 0.67 v4.0.0
% 0.17/0.34 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.17/0.34 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.17/0.34 % Maximal formula atoms : 0 ( 0 avg)
% 0.17/0.34 % Number of connectives : 59 ( 0 ~; 0 |; 8 &; 42 @)
% 0.17/0.34 % ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% 0.17/0.34 % Maximal formula depth : 14 ( 14 avg)
% 0.17/0.34 % Number of types : 2 ( 1 usr)
% 0.17/0.34 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.17/0.34 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.17/0.34 % Number of variables : 16 ( 0 ^; 15 !; 1 ?; 16 :)
% 0.17/0.34 % SPC : TH0_THM_NEQ_NAR
% 0.17/0.34
% 0.17/0.34 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.34 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.34 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.34 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.34 % : Polymorphic definitions expanded.
% 0.17/0.34 %------------------------------------------------------------------------------
% 0.17/0.34 thf(a_type,type,
% 0.17/0.34 a: $tType ).
% 0.17/0.34
% 0.17/0.34 thf(cTHM145_A_pme,conjecture,
% 0.17/0.34 ! [R: a > a > $o,U: ( a > $o ) > a] :
% 0.17/0.34 ( ( ! [Xx: a,Xy: a,Xz: a] :
% 0.17/0.34 ( ( ( R @ Xx @ Xy )
% 0.17/0.34 & ( R @ Xy @ Xz ) )
% 0.17/0.34 => ( R @ Xx @ Xz ) )
% 0.17/0.34 & ! [Xs: a > $o] :
% 0.17/0.34 ( ! [Xz: a] :
% 0.17/0.34 ( ( Xs @ Xz )
% 0.17/0.34 => ( R @ Xz @ ( U @ Xs ) ) )
% 0.17/0.34 & ! [Xz: a] :
% 0.17/0.34 ( ( Xs @ Xz )
% 0.17/0.34 => ( R @ Xz @ ( U @ Xs ) ) )
% 0.17/0.34 & ! [Xj: a] :
% 0.17/0.34 ( ! [Xk: a] :
% 0.17/0.34 ( ( ( Xs @ Xk )
% 0.17/0.34 & ( Xs @ Xk ) )
% 0.17/0.34 => ( R @ Xk @ Xj ) )
% 0.17/0.34 => ( ( R @ ( U @ Xs ) @ Xj )
% 0.17/0.34 & ( R @ ( U @ Xs ) @ Xj ) ) ) ) )
% 0.17/0.34 => ! [Xf: a > a] :
% 0.17/0.34 ( ( ! [Xx: a,Xy: a] :
% 0.17/0.34 ( ( R @ Xx @ Xy )
% 0.17/0.34 => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 0.17/0.34 & ! [Xx: a,Xy: a] :
% 0.17/0.34 ( ( R @ Xx @ Xy )
% 0.17/0.34 => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
% 0.17/0.34 => ? [Xw: a] :
% 0.17/0.34 ( ( R @ Xw @ ( Xf @ Xw ) )
% 0.17/0.34 & ( R @ ( Xf @ Xw ) @ Xw ) ) ) ) ).
% 0.17/0.34
% 0.17/0.34 %------------------------------------------------------------------------------
% 0.17/0.34 ------------------------
% 1.60/1.32 ---- Embedded in THF ---
% 1.60/1.32 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.60/1.32 %%% Generated on Tue Feb 24 07:43:56 EST 2026
% 1.60/1.32 %%% using '$$dhol' embedding, version 1.3.0.
% 1.60/1.32 %%% Logic specification used:
% 1.60/1.32 %%% thf(spec, logic, $$dhol).
% 1.60/1.32
% 1.60/1.32 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.6rDJ5lh5h9/DTF2DTF13069.p
% See solution above
% 1.60/1.32 ------------------------
% 1.60/1.33 ---- Cleaned THF ---
% 1.60/1.33 thf(a_type,type,
% 1.60/1.33 a: $tType ).
% 1.60/1.33
% 1.60/1.33 thf(cTHM145_A_pme,conjecture,
% 1.60/1.33 ! [R: a > a > $o,U: ( a > $o ) > a] :
% 1.60/1.33 ( ( ! [Xx: a,Xy: a,Xz: a] :
% 1.60/1.33 ( ( ( R @ Xx @ Xy )
% 1.60/1.33 & ( R @ Xy @ Xz ) )
% 1.60/1.33 => ( R @ Xx @ Xz ) )
% 1.60/1.33 & ! [Xs: a > $o] :
% 1.60/1.33 ( ! [Xz: a] :
% 1.60/1.33 ( ( Xs @ Xz )
% 1.60/1.33 => ( R @ Xz @ ( U @ Xs ) ) )
% 1.60/1.33 & ! [Xz: a] :
% 1.60/1.33 ( ( Xs @ Xz )
% 1.60/1.33 => ( R @ Xz @ ( U @ Xs ) ) )
% 1.60/1.33 & ! [Xj: a] :
% 1.60/1.33 ( ! [Xk: a] :
% 1.60/1.33 ( ( ( Xs @ Xk )
% 1.60/1.33 & ( Xs @ Xk ) )
% 1.60/1.33 => ( R @ Xk @ Xj ) )
% 1.60/1.33 => ( ( R @ ( U @ Xs ) @ Xj )
% 1.60/1.33 & ( R @ ( U @ Xs ) @ Xj ) ) ) ) )
% 1.60/1.33 => ! [Xf: a > a] :
% 1.60/1.33 ( ( ! [Xx: a,Xy: a] :
% 1.60/1.33 ( ( R @ Xx @ Xy )
% 1.60/1.33 => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 1.60/1.33 & ! [Xx: a,Xy: a] :
% 1.60/1.33 ( ( R @ Xx @ Xy )
% 1.60/1.33 => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
% 1.60/1.33 => ? [Xw: a] :
% 1.60/1.33 ( ( R @ Xw @ ( Xf @ Xw ) )
% 1.60/1.33 & ( R @ ( Xf @ Xw ) @ Xw ) ) ) ) ).
% 1.60/1.33 ------------------------
% 1.60/1.35 % (13173)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/18Mi)
% 1.60/1.35 % (13172)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_13069 for (2999ds/275Mi)
% 1.60/1.35 % (13170)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/2Mi)
% 1.60/1.35 % (13169)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_13069 for (2999ds/27Mi)
% 1.60/1.35 % (13167)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/183Mi)
% 1.60/1.35 % (13168)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_13069 for (2999ds/4Mi)
% 1.60/1.35 % (13171)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_13069 for (2999ds/2Mi)
% 1.60/1.35 % (13170)Instruction limit reached!
% 1.60/1.35 % (13170)------------------------------
% 1.60/1.35 % (13170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.35 % (13170)Termination reason: Unknown
% 1.60/1.35 % (13170)Termination phase: Preprocessing 3
% 1.60/1.35
% 1.60/1.35 % (13170)Memory used [KB]: 1023
% 1.60/1.35 % (13170)Time elapsed: 0.003 s
% 1.60/1.35 % (13170)Instructions burned: 2 (million)
% 1.60/1.35 % (13170)------------------------------
% 1.60/1.35 % (13170)------------------------------
% 1.60/1.35 % (13171)Instruction limit reached!
% 1.60/1.35 % (13171)------------------------------
% 1.60/1.35 % (13171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.35 % (13171)Termination reason: Unknown
% 1.60/1.35 % (13171)Termination phase: Property scanning
% 1.60/1.35
% 1.60/1.35 % (13171)Memory used [KB]: 1023
% 1.60/1.35 % (13171)Time elapsed: 0.002 s
% 1.60/1.35 % (13171)Instructions burned: 2 (million)
% 1.60/1.35 % (13171)------------------------------
% 1.60/1.35 % (13171)------------------------------
% 1.60/1.36 % (13168)Instruction limit reached!
% 1.60/1.36 % (13168)------------------------------
% 1.60/1.36 % (13168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.36 % (13168)Termination reason: Unknown
% 1.60/1.36 % (13168)Termination phase: Saturation
% 1.60/1.36
% 1.60/1.36 % (13168)Memory used [KB]: 5500
% 1.60/1.36 % (13168)Time elapsed: 0.005 s
% 1.60/1.36 % (13168)Instructions burned: 5 (million)
% 1.60/1.36 % (13168)------------------------------
% 1.60/1.36 % (13168)------------------------------
% 1.60/1.36 % (13173)Instruction limit reached!
% 1.60/1.36 % (13173)------------------------------
% 1.60/1.36 % (13173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.36 % (13173)Termination reason: Unknown
% 1.60/1.36 % (13173)Termination phase: Saturation
% 1.60/1.36
% 1.60/1.36 % (13173)Memory used [KB]: 5628
% 1.60/1.36 % (13173)Time elapsed: 0.012 s
% 1.60/1.36 % (13173)Instructions burned: 19 (million)
% 1.60/1.36 % (13173)------------------------------
% 1.60/1.36 % (13173)------------------------------
% 1.60/1.37 % (13169)Instruction limit reached!
% 1.60/1.37 % (13169)------------------------------
% 1.60/1.37 % (13169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.37 % (13169)Termination reason: Unknown
% 1.60/1.37 % (13169)Termination phase: Saturation
% 1.60/1.37
% 1.60/1.37 % (13169)Memory used [KB]: 5628
% 1.60/1.37 % (13169)Time elapsed: 0.016 s
% 1.60/1.37 % (13169)Instructions burned: 27 (million)
% 1.60/1.37 % (13169)------------------------------
% 1.60/1.37 % (13169)------------------------------
% 1.60/1.37 % (13175)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_13069 for (2999ds/37Mi)
% 1.60/1.37 % (13174)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/3Mi)
% 1.60/1.37 % (13176)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_13069 for (2999ds/15Mi)
% 1.60/1.37 % (13174)Instruction limit reached!
% 1.60/1.37 % (13174)------------------------------
% 1.60/1.37 % (13174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.37 % (13174)Termination reason: Unknown
% 1.60/1.37 % (13174)Termination phase: Saturation
% 1.60/1.37
% 1.60/1.37 % (13174)Memory used [KB]: 5500
% 1.60/1.37 % (13174)Time elapsed: 0.004 s
% 1.60/1.37 % (13174)Instructions burned: 4 (million)
% 1.60/1.37 % (13174)------------------------------
% 1.60/1.37 % (13174)------------------------------
% 1.60/1.38 % (13177)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_13069 for (2999ds/3Mi)
% 1.60/1.38 % (13176)Instruction limit reached!
% 1.60/1.38 % (13176)------------------------------
% 1.60/1.38 % (13176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.38 % (13176)Termination reason: Unknown
% 1.60/1.38 % (13176)Termination phase: Saturation
% 1.60/1.38
% 1.60/1.38 % (13176)Memory used [KB]: 5628
% 1.60/1.38 % (13176)Time elapsed: 0.010 s
% 1.60/1.38 % (13176)Instructions burned: 16 (million)
% 1.60/1.38 % (13176)------------------------------
% 1.60/1.38 % (13176)------------------------------
% 1.60/1.38 % (13177)Instruction limit reached!
% 1.60/1.38 % (13177)------------------------------
% 1.60/1.38 % (13177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.38 % (13177)Termination reason: Unknown
% 1.60/1.38 % (13177)Termination phase: Saturation
% 1.60/1.38
% 1.60/1.38 % (13177)Memory used [KB]: 5500
% 1.60/1.38 % (13177)Time elapsed: 0.004 s
% 1.60/1.38 % (13177)Instructions burned: 4 (million)
% 1.60/1.38 % (13177)------------------------------
% 1.60/1.38 % (13177)------------------------------
% 1.60/1.38 % (13178)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_13069 for (2999ds/1041Mi)
% 1.60/1.39 % (13175)Instruction limit reached!
% 1.60/1.39 % (13175)------------------------------
% 1.60/1.39 % (13175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.39 % (13175)Termination reason: Unknown
% 1.60/1.39 % (13175)Termination phase: Saturation
% 1.60/1.39
% 1.60/1.39 % (13175)Memory used [KB]: 5884
% 1.60/1.39 % (13175)Time elapsed: 0.020 s
% 1.60/1.39 % (13175)Instructions burned: 37 (million)
% 1.60/1.39 % (13175)------------------------------
% 1.60/1.39 % (13175)------------------------------
% 1.60/1.39 % (13179)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/7Mi)
% 1.60/1.39 % (13179)Instruction limit reached!
% 1.60/1.39 % (13179)------------------------------
% 1.60/1.39 % (13179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.39 % (13179)Termination reason: Unknown
% 1.60/1.39 % (13179)Termination phase: Saturation
% 1.60/1.39
% 1.60/1.39 % (13179)Memory used [KB]: 1023
% 1.60/1.39 % (13179)Time elapsed: 0.006 s
% 1.60/1.39 % (13179)Instructions burned: 7 (million)
% 1.60/1.39 % (13179)------------------------------
% 1.60/1.39 % (13179)------------------------------
% 1.64/1.40 % (13180)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/16Mi)
% 1.64/1.40 % (13181)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_13069 for (2999ds/3Mi)
% 1.64/1.40 % (13181)Instruction limit reached!
% 1.64/1.40 % (13181)------------------------------
% 1.64/1.40 % (13181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.40 % (13181)Termination reason: Unknown
% 1.64/1.40 % (13181)Termination phase: Twee Goal Transformation
% 1.64/1.40
% 1.64/1.40 % (13181)Memory used [KB]: 1023
% 1.64/1.40 % (13181)Time elapsed: 0.003 s
% 1.64/1.40 % (13181)Instructions burned: 3 (million)
% 1.64/1.40 % (13181)------------------------------
% 1.64/1.40 % (13181)------------------------------
% 1.64/1.41 % (13182)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_13069 for (2999ds/3Mi)
% 1.64/1.41 % (13180)Instruction limit reached!
% 1.64/1.41 % (13180)------------------------------
% 1.64/1.41 % (13180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.41 % (13180)Termination reason: Unknown
% 1.64/1.41 % (13180)Termination phase: Saturation
% 1.64/1.41
% 1.64/1.41 % (13180)Memory used [KB]: 5628
% 1.64/1.41 % (13180)Time elapsed: 0.011 s
% 1.64/1.41 % (13180)Instructions burned: 17 (million)
% 1.64/1.41 % (13180)------------------------------
% 1.64/1.41 % (13180)------------------------------
% 1.64/1.41 % (13182)Instruction limit reached!
% 1.64/1.41 % (13182)------------------------------
% 1.64/1.41 % (13182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.41 % (13182)Termination reason: Unknown
% 1.64/1.41 % (13182)Termination phase: Property scanning
% 1.64/1.41
% 1.64/1.41 % (13182)Memory used [KB]: 1023
% 1.64/1.41 % (13182)Time elapsed: 0.004 s
% 1.64/1.41 % (13182)Instructions burned: 4 (million)
% 1.64/1.41 % (13182)------------------------------
% 1.64/1.41 % (13182)------------------------------
% 1.64/1.41 % (13183)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/7Mi)
% 1.64/1.42 % (13183)Instruction limit reached!
% 1.64/1.42 % (13183)------------------------------
% 1.64/1.42 % (13183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.42 % (13183)Termination reason: Unknown
% 1.64/1.42 % (13183)Termination phase: Saturation
% 1.64/1.42
% 1.64/1.42 % (13183)Memory used [KB]: 5500
% 1.64/1.42 % (13183)Time elapsed: 0.006 s
% 1.64/1.42 % (13183)Instructions burned: 7 (million)
% 1.64/1.42 % (13183)------------------------------
% 1.64/1.42 % (13183)------------------------------
% 1.64/1.42 % (13184)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/3Mi)
% 1.64/1.42 % (13184)Instruction limit reached!
% 1.64/1.42 % (13184)------------------------------
% 1.64/1.42 % (13184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.42 % (13184)Termination reason: Unknown
% 1.64/1.42 % (13184)Termination phase: Saturation
% 1.64/1.42
% 1.64/1.42 % (13184)Memory used [KB]: 5500
% 1.64/1.42 % (13184)Time elapsed: 0.003 s
% 1.64/1.42 % (13184)Instructions burned: 4 (million)
% 1.64/1.42 % (13184)------------------------------
% 1.64/1.42 % (13184)------------------------------
% 1.64/1.42 % (13185)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/4Mi)
% 1.64/1.42 % (13186)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/18Mi)
% 1.64/1.43 % (13185)Instruction limit reached!
% 1.64/1.43 % (13185)------------------------------
% 1.64/1.43 % (13185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.43 % (13185)Termination reason: Unknown
% 1.64/1.43 % (13185)Termination phase: Saturation
% 1.64/1.43
% 1.64/1.43 % (13185)Memory used [KB]: 5500
% 1.64/1.43 % (13185)Time elapsed: 0.004 s
% 1.64/1.43 % (13185)Instructions burned: 4 (million)
% 1.64/1.43 % (13185)------------------------------
% 1.64/1.43 % (13185)------------------------------
% 1.64/1.43 % (13186)Instruction limit reached!
% 1.64/1.43 % (13186)------------------------------
% 1.64/1.43 % (13186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.43 % (13186)Termination reason: Unknown
% 1.64/1.43 % (13186)Termination phase: Saturation
% 1.64/1.43
% 1.64/1.43 % (13186)Memory used [KB]: 5628
% 1.64/1.43 % (13186)Time elapsed: 0.011 s
% 1.64/1.43 % (13186)Instructions burned: 18 (million)
% 1.64/1.43 % (13186)------------------------------
% 1.64/1.43 % (13186)------------------------------
% 1.64/1.43 % (13187)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/710Mi)
% 1.64/1.44 % (13188)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/6Mi)
% 1.64/1.44 % (13188)Instruction limit reached!
% 1.64/1.44 % (13188)------------------------------
% 1.64/1.44 % (13188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.44 % (13188)Termination reason: Unknown
% 1.64/1.44 % (13188)Termination phase: Saturation
% 1.64/1.44
% 1.64/1.44 % (13188)Memory used [KB]: 5500
% 1.64/1.44 % (13188)Time elapsed: 0.006 s
% 1.64/1.44 % (13188)Instructions burned: 7 (million)
% 1.64/1.44 % (13188)------------------------------
% 1.64/1.44 % (13188)------------------------------
% 1.64/1.44 % (13189)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_13069 for (2999ds/902Mi)
% 1.64/1.44 % (13167)Instruction limit reached!
% 1.64/1.44 % (13167)------------------------------
% 1.64/1.44 % (13167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.44 % (13167)Termination reason: Unknown
% 1.64/1.44 % (13167)Termination phase: Saturation
% 1.64/1.44
% 1.64/1.44 % (13167)Memory used [KB]: 6652
% 1.64/1.44 % (13167)Time elapsed: 0.091 s
% 1.64/1.44 % (13167)Instructions burned: 183 (million)
% 1.64/1.44 % (13167)------------------------------
% 1.64/1.44 % (13167)------------------------------
% 1.64/1.45 % (13190)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_13069 for (2999ds/21Mi)
% 1.64/1.46 % (13191)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_13069 for (2999ds/5Mi)
% 1.64/1.46 % (13192)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_13069 for (2999ds/6Mi)
% 1.64/1.46 % (13191)Instruction limit reached!
% 1.64/1.46 % (13191)------------------------------
% 1.64/1.46 % (13191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.46 % (13191)Termination reason: Unknown
% 1.64/1.46 % (13191)Termination phase: Saturation
% 1.64/1.46
% 1.64/1.46 % (13191)Memory used [KB]: 5500
% 1.64/1.46 % (13191)Time elapsed: 0.004 s
% 1.64/1.46 % (13191)Instructions burned: 5 (million)
% 1.64/1.46 % (13191)------------------------------
% 1.64/1.46 % (13191)------------------------------
% 1.64/1.46 % (13190)Instruction limit reached!
% 1.64/1.46 % (13190)------------------------------
% 1.64/1.46 % (13190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.46 % (13190)Termination reason: Unknown
% 1.64/1.46 % (13190)Termination phase: Saturation
% 1.64/1.46
% 1.64/1.46 % (13190)Memory used [KB]: 5628
% 1.64/1.46 % (13190)Time elapsed: 0.014 s
% 1.64/1.46 % (13190)Instructions burned: 22 (million)
% 1.64/1.46 % (13190)------------------------------
% 1.64/1.46 % (13190)------------------------------
% 1.64/1.46 % (13192)Instruction limit reached!
% 1.64/1.46 % (13192)------------------------------
% 1.64/1.46 % (13192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.46 % (13192)Termination reason: Unknown
% 1.64/1.46 % (13192)Termination phase: Saturation
% 1.64/1.46
% 1.64/1.46 % (13192)Memory used [KB]: 5500
% 1.64/1.46 % (13192)Time elapsed: 0.005 s
% 1.64/1.46 % (13192)Instructions burned: 7 (million)
% 1.64/1.46 % (13192)------------------------------
% 1.64/1.46 % (13192)------------------------------
% 1.64/1.48 % (13193)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_13069 for (2998ds/377Mi)
% 1.64/1.48 % (13194)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_13069 for (2998ds/779Mi)
% 1.64/1.48 % (13195)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_13069 for (2998ds/19Mi)
% 1.64/1.49 % (13195)Instruction limit reached!
% 1.64/1.49 % (13195)------------------------------
% 1.64/1.49 % (13195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.49 % (13195)Termination reason: Unknown
% 1.64/1.49 % (13195)Termination phase: Saturation
% 1.64/1.49
% 1.64/1.49 % (13195)Memory used [KB]: 5628
% 1.64/1.49 % (13195)Time elapsed: 0.012 s
% 1.64/1.49 % (13195)Instructions burned: 20 (million)
% 1.64/1.49 % (13195)------------------------------
% 1.64/1.49 % (13195)------------------------------
% 1.64/1.49 % (13172)Instruction limit reached!
% 1.64/1.49 % (13172)------------------------------
% 1.64/1.49 % (13172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.49 % (13172)Termination reason: Unknown
% 1.64/1.49 % (13172)Termination phase: Saturation
% 1.64/1.49
% 1.64/1.49 % (13172)Memory used [KB]: 6140
% 1.64/1.49 % (13172)Time elapsed: 0.143 s
% 1.64/1.49 % (13172)Instructions burned: 275 (million)
% 1.64/1.49 % (13172)------------------------------
% 1.64/1.49 % (13172)------------------------------
% 1.64/1.51 % (13196)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_13069 for (2998ds/879Mi)
% 1.64/1.51 % (13197)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_13069 for (2998ds/17Mi)
% 1.64/1.52 % (13197)Instruction limit reached!
% 1.64/1.52 % (13197)------------------------------
% 1.64/1.52 % (13197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.52 % (13197)Termination reason: Unknown
% 1.64/1.52 % (13197)Termination phase: Saturation
% 1.64/1.52
% 1.64/1.52 % (13197)Memory used [KB]: 5628
% 1.64/1.52 % (13197)Time elapsed: 0.011 s
% 1.64/1.52 % (13197)Instructions burned: 17 (million)
% 1.64/1.52 % (13197)------------------------------
% 1.64/1.52 % (13197)------------------------------
% 1.64/1.54 % (13198)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_13069 for (2998ds/3Mi)
% 1.64/1.54 % (13198)Instruction limit reached!
% 1.64/1.54 % (13198)------------------------------
% 1.64/1.54 % (13198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.54 % (13198)Termination reason: Unknown
% 1.64/1.54 % (13198)Termination phase: Property scanning
% 1.64/1.54
% 1.64/1.54 % (13198)Memory used [KB]: 1023
% 1.64/1.54 % (13198)Time elapsed: 0.003 s
% 1.64/1.54 % (13198)Instructions burned: 4 (million)
% 1.64/1.54 % (13198)------------------------------
% 1.64/1.54 % (13198)------------------------------
% 1.64/1.56 % (13199)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_13069 for (2998ds/30Mi)
% 1.64/1.57 % (13199)Instruction limit reached!
% 1.64/1.57 % (13199)------------------------------
% 1.64/1.57 % (13199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.57 % (13199)Termination reason: Unknown
% 1.64/1.57 % (13199)Termination phase: Saturation
% 1.64/1.57
% 1.64/1.57 % (13199)Memory used [KB]: 5628
% 1.64/1.57 % (13199)Time elapsed: 0.019 s
% 1.64/1.57 % (13199)Instructions burned: 31 (million)
% 1.64/1.57 % (13199)------------------------------
% 1.64/1.57 % (13199)------------------------------
% 1.64/1.59 % (13200)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_13069 for (2997ds/127Mi)
% 1.64/1.66 % (13200)Instruction limit reached!
% 1.64/1.66 % (13200)------------------------------
% 1.64/1.66 % (13200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.66 % (13200)Termination reason: Unknown
% 1.64/1.66 % (13200)Termination phase: Saturation
% 1.64/1.66
% 1.64/1.66 % (13200)Memory used [KB]: 6012
% 1.64/1.66 % (13200)Time elapsed: 0.069 s
% 1.64/1.66 % (13200)Instructions burned: 128 (million)
% 1.64/1.66 % (13200)------------------------------
% 1.64/1.66 % (13200)------------------------------
% 1.64/1.66 % (13193)Instruction limit reached!
% 1.64/1.66 % (13193)------------------------------
% 1.64/1.66 % (13193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.66 % (13193)Termination reason: Unknown
% 1.64/1.66 % (13193)Termination phase: Saturation
% 1.64/1.66
% 1.64/1.66 % (13193)Memory used [KB]: 6140
% 1.64/1.66 % (13193)Time elapsed: 0.186 s
% 1.64/1.66 % (13193)Instructions burned: 377 (million)
% 1.64/1.66 % (13193)------------------------------
% 1.64/1.66 % (13193)------------------------------
% 1.64/1.67 % (13201)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_13069 for (2996ds/100Mi)
% 1.64/1.68 % (13202)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_13069 for (2996ds/3Mi)
% 1.64/1.68 % (13202)Instruction limit reached!
% 1.64/1.68 % (13202)------------------------------
% 1.64/1.68 % (13202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.68 % (13202)Termination reason: Unknown
% 1.64/1.68 % (13202)Termination phase: Saturation
% 1.64/1.68
% 1.64/1.68 % (13202)Memory used [KB]: 5500
% 1.64/1.68 % (13202)Time elapsed: 0.004 s
% 1.64/1.68 % (13202)Instructions burned: 4 (million)
% 1.64/1.68 % (13202)------------------------------
% 1.64/1.68 % (13202)------------------------------
% 1.64/1.70 % (13203)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_13069 for (2996ds/20Mi)
% 1.64/1.71 % (13203)Instruction limit reached!
% 1.64/1.71 % (13203)------------------------------
% 1.64/1.71 % (13203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.71 % (13203)Termination reason: Unknown
% 1.64/1.71 % (13203)Termination phase: Saturation
% 1.64/1.71
% 1.64/1.71 % (13203)Memory used [KB]: 5628
% 1.64/1.71 % (13203)Time elapsed: 0.013 s
% 1.64/1.71 % (13203)Instructions burned: 20 (million)
% 1.64/1.71 % (13203)------------------------------
% 1.64/1.71 % (13203)------------------------------
% 1.64/1.72 % (13201)Instruction limit reached!
% 1.64/1.72 % (13201)------------------------------
% 1.64/1.72 % (13201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.72 % (13201)Termination reason: Unknown
% 1.64/1.72 % (13201)Termination phase: Saturation
% 1.64/1.72
% 1.64/1.72 % (13201)Memory used [KB]: 5756
% 1.64/1.72 % (13201)Time elapsed: 0.053 s
% 1.64/1.72 % (13201)Instructions burned: 100 (million)
% 1.64/1.72 % (13201)------------------------------
% 1.64/1.72 % (13201)------------------------------
% 1.64/1.73 % (13204)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_13069 for (2996ds/86Mi)
% 1.64/1.74 % (13205)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_13069 for (2996ds/107Mi)
% 1.64/1.77 % (13204)Instruction limit reached!
% 1.64/1.77 % (13204)------------------------------
% 1.64/1.77 % (13204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.77 % (13204)Termination reason: Unknown
% 1.64/1.77 % (13204)Termination phase: Saturation
% 1.64/1.77
% 1.64/1.77 % (13204)Memory used [KB]: 6140
% 1.64/1.77 % (13204)Time elapsed: 0.068 s
% 1.64/1.77 % (13204)Instructions burned: 86 (million)
% 1.64/1.77 % (13204)------------------------------
% 1.64/1.77 % (13204)------------------------------
% 1.64/1.78 % (13187)Instruction limit reached!
% 1.64/1.78 % (13187)------------------------------
% 1.64/1.78 % (13187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.78 % (13187)Termination reason: Unknown
% 1.64/1.78 % (13187)Termination phase: Saturation
% 1.64/1.78
% 1.64/1.78 % (13187)Memory used [KB]: 7419
% 1.64/1.78 % (13187)Time elapsed: 0.351 s
% 1.64/1.78 % (13187)Instructions burned: 710 (million)
% 1.64/1.78 % (13187)------------------------------
% 1.64/1.78 % (13187)------------------------------
% 1.64/1.79 % (13206)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_13069 for (2995ds/39Mi)
% 1.64/1.80 % (13205)Instruction limit reached!
% 1.64/1.80 % (13205)------------------------------
% 1.64/1.80 % (13205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.80 % (13205)Termination reason: Unknown
% 1.64/1.80 % (13205)Termination phase: Saturation
% 1.64/1.80
% 1.64/1.80 % (13205)Memory used [KB]: 6012
% 1.64/1.80 % (13205)Time elapsed: 0.077 s
% 1.64/1.80 % (13205)Instructions burned: 107 (million)
% 1.64/1.80 % (13205)------------------------------
% 1.64/1.80 % (13205)------------------------------
% 1.64/1.80 % (13207)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_13069 for (2995ds/448Mi)
% 1.64/1.81 % (13206)Instruction limit reached!
% 1.64/1.81 % (13206)------------------------------
% 1.64/1.81 % (13206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.81 % (13206)Termination reason: Unknown
% 1.64/1.81 % (13206)Termination phase: Saturation
% 1.64/1.81
% 1.64/1.81 % (13206)Memory used [KB]: 5884
% 1.64/1.81 % (13206)Time elapsed: 0.045 s
% 1.64/1.81 % (13206)Instructions burned: 39 (million)
% 1.64/1.81 % (13206)------------------------------
% 1.64/1.81 % (13206)------------------------------
% 1.64/1.81 % (13208)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_13069 for (2995ds/46Mi)
% 1.64/1.83 % (13209)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_13069 for (2995ds/98Mi)
% 1.64/1.84 % (13208)Instruction limit reached!
% 1.64/1.84 % (13208)------------------------------
% 1.64/1.84 % (13208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.84 % (13208)Termination reason: Unknown
% 1.64/1.84 % (13208)Termination phase: Saturation
% 1.64/1.84
% 1.64/1.84 % (13208)Memory used [KB]: 5756
% 1.64/1.84 % (13208)Time elapsed: 0.048 s
% 1.64/1.84 % (13208)Instructions burned: 46 (million)
% 1.64/1.84 % (13208)------------------------------
% 1.64/1.84 % (13208)------------------------------
% 1.64/1.85 % (13189)Instruction limit reached!
% 1.64/1.85 % (13189)------------------------------
% 1.64/1.85 % (13189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.85 % (13189)Termination reason: Unknown
% 1.64/1.85 % (13189)Termination phase: Saturation
% 1.64/1.85
% 1.64/1.85 % (13189)Memory used [KB]: 5884
% 1.64/1.85 % (13189)Time elapsed: 0.410 s
% 1.64/1.85 % (13189)Instructions burned: 903 (million)
% 1.64/1.85 % (13189)------------------------------
% 1.64/1.85 % (13189)------------------------------
% 1.64/1.85 % (13210)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_13069 for (2995ds/507Mi)
% 1.64/1.86 % (13194)Instruction limit reached!
% 1.64/1.86 % (13194)------------------------------
% 1.64/1.86 % (13194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.86 % (13194)Termination reason: Unknown
% 1.64/1.86 % (13194)Termination phase: Saturation
% 1.64/1.86
% 1.64/1.86 % (13194)Memory used [KB]: 6780
% 1.64/1.86 % (13194)Time elapsed: 0.381 s
% 1.64/1.86 % (13194)Instructions burned: 780 (million)
% 1.64/1.86 % (13194)------------------------------
% 1.64/1.86 % (13194)------------------------------
% 1.64/1.87 % (13211)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_13069 for (2995ds/149Mi)
% 1.64/1.87 % (13212)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_13069 for (2995ds/39Mi)
% 1.64/1.88 % (13209)Instruction limit reached!
% 1.64/1.88 % (13209)------------------------------
% 1.64/1.88 % (13209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.88 % (13209)Termination reason: Unknown
% 1.64/1.88 % (13209)Termination phase: Saturation
% 1.64/1.88
% 1.64/1.88 % (13209)Memory used [KB]: 1279
% 1.64/1.88 % (13209)Time elapsed: 0.073 s
% 1.64/1.88 % (13209)Instructions burned: 98 (million)
% 1.64/1.88 % (13209)------------------------------
% 1.64/1.88 % (13209)------------------------------
% 1.64/1.89 % (13212)Instruction limit reached!
% 1.64/1.89 % (13212)------------------------------
% 1.64/1.89 % (13212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.89 % (13212)Termination reason: Unknown
% 1.64/1.89 % (13212)Termination phase: Saturation
% 1.64/1.89
% 1.64/1.89 % (13212)Memory used [KB]: 5628
% 1.64/1.89 % (13212)Time elapsed: 0.044 s
% 1.64/1.89 % (13212)Instructions burned: 40 (million)
% 1.64/1.89 % (13212)------------------------------
% 1.64/1.89 % (13212)------------------------------
% 1.64/1.91 % (13178)Instruction limit reached!
% 1.64/1.91 % (13178)------------------------------
% 1.64/1.91 % (13178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.91 % (13178)Termination reason: Unknown
% 1.64/1.91 % (13178)Termination phase: Saturation
% 1.64/1.91
% 1.64/1.91 % (13178)Memory used [KB]: 8315
% 1.64/1.91 % (13178)Time elapsed: 0.525 s
% 1.64/1.91 % (13178)Instructions burned: 1041 (million)
% 1.64/1.91 % (13178)------------------------------
% 1.64/1.91 % (13178)------------------------------
% 1.64/1.91 % (13214)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_13069 for (2994ds/1087Mi)
% 1.64/1.92 % (13213)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_13069 for (2994ds/6Mi)
% 1.64/1.92 % (13213)Instruction limit reached!
% 1.64/1.92 % (13213)------------------------------
% 1.64/1.92 % (13213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.92 % (13213)Termination reason: Unknown
% 1.64/1.92 % (13213)Termination phase: Saturation
% 1.64/1.92
% 1.64/1.92 % (13213)Memory used [KB]: 9978
% 1.64/1.92 % (13213)Time elapsed: 0.005 s
% 1.64/1.92 % (13213)Instructions burned: 6 (million)
% 1.64/1.92 % (13213)------------------------------
% 1.64/1.92 % (13213)------------------------------
% 1.64/1.93 % (13196)Instruction limit reached!
% 1.64/1.93 % (13196)------------------------------
% 1.64/1.93 % (13196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.93 % (13196)Termination reason: Unknown
% 1.64/1.93 % (13196)Termination phase: Saturation
% 1.64/1.93
% 1.64/1.93 % (13196)Memory used [KB]: 7164
% 1.64/1.93 % (13196)Time elapsed: 0.420 s
% 1.64/1.93 % (13196)Instructions burned: 879 (million)
% 1.64/1.93 % (13196)------------------------------
% 1.64/1.93 % (13196)------------------------------
% 1.64/1.94 % (13215)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_13069 for (2994ds/47Mi)
% 1.64/1.94 % (13216)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_13069 for (2994ds/44Mi)
% 1.64/1.94 % (13211)Instruction limit reached!
% 1.64/1.94 % (13211)------------------------------
% 1.64/1.94 % (13211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.94 % (13211)Termination reason: Unknown
% 1.64/1.94 % (13211)Termination phase: Saturation
% 1.64/1.94
% 1.64/1.94 % (13211)Memory used [KB]: 6012
% 1.64/1.94 % (13211)Time elapsed: 0.097 s
% 1.64/1.94 % (13211)Instructions burned: 150 (million)
% 1.64/1.94 % (13211)------------------------------
% 1.64/1.94 % (13211)------------------------------
% 1.64/1.95 % (13217)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_13069 for (2994ds/432Mi)
% 1.64/1.96 % (13218)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_13069 for (2993ds/62Mi)
% 1.64/1.96 % (13215)Instruction limit reached!
% 1.64/1.96 % (13215)------------------------------
% 1.64/1.96 % (13215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.96 % (13215)Termination reason: Unknown
% 1.64/1.96 % (13215)Termination phase: Saturation
% 1.64/1.96
% 1.64/1.96 % (13215)Memory used [KB]: 5756
% 1.64/1.96 % (13215)Time elapsed: 0.026 s
% 1.64/1.96 % (13215)Instructions burned: 47 (million)
% 1.64/1.96 % (13215)------------------------------
% 1.64/1.96 % (13215)------------------------------
% 1.64/1.96 % (13216)Instruction limit reached!
% 1.64/1.96 % (13216)------------------------------
% 1.64/1.96 % (13216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.96 % (13216)Termination reason: Unknown
% 1.64/1.96 % (13216)Termination phase: Saturation
% 1.64/1.96
% 1.64/1.96 % (13216)Memory used [KB]: 1279
% 1.64/1.96 % (13216)Time elapsed: 0.041 s
% 1.64/1.96 % (13216)Instructions burned: 46 (million)
% 1.64/1.96 % (13216)------------------------------
% 1.64/1.96 % (13216)------------------------------
% 1.64/1.97 % (13219)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_13069 for (2993ds/31Mi)
% 1.64/1.98 % (13220)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_13069 for (2993ds/96Mi)
% 1.64/1.98 % (13219)Instruction limit reached!
% 1.64/1.98 % (13219)------------------------------
% 1.64/1.98 % (13219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.98 % (13219)Termination reason: Unknown
% 1.64/1.98 % (13219)Termination phase: Saturation
% 1.64/1.98
% 1.64/1.98 % (13219)Memory used [KB]: 5756
% 1.64/1.98 % (13219)Time elapsed: 0.012 s
% 1.64/1.98 % (13219)Instructions burned: 31 (million)
% 1.64/1.98 % (13219)------------------------------
% 1.64/1.98 % (13219)------------------------------
% 1.64/1.99 % (13218)Instruction limit reached!
% 1.64/1.99 % (13218)------------------------------
% 1.64/1.99 % (13218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.99 % (13218)Termination reason: Unknown
% 1.64/1.99 % (13218)Termination phase: Saturation
% 1.64/1.99
% 1.64/1.99 % (13218)Memory used [KB]: 5756
% 1.64/1.99 % (13218)Time elapsed: 0.033 s
% 1.64/1.99 % (13218)Instructions burned: 62 (million)
% 1.64/1.99 % (13218)------------------------------
% 1.64/1.99 % (13218)------------------------------
% 1.64/1.99 % (13221)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_13069 for (2993ds/453Mi)
% 1.64/2.01 % (13222)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_13069 for (2993ds/71Mi)
% 6.21/2.03 % (13207)Instruction limit reached!
% 6.21/2.03 % (13207)------------------------------
% 6.21/2.03 % (13207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.03 % (13207)Termination reason: Unknown
% 6.21/2.03 % (13207)Termination phase: Saturation
% 6.21/2.03
% 6.21/2.03 % (13207)Memory used [KB]: 6396
% 6.21/2.03 % (13207)Time elapsed: 0.253 s
% 6.21/2.03 % (13207)Instructions burned: 449 (million)
% 6.21/2.03 % (13207)------------------------------
% 6.21/2.03 % (13207)------------------------------
% 6.21/2.03 % (13220)Instruction limit reached!
% 6.21/2.03 % (13220)------------------------------
% 6.21/2.03 % (13220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.03 % (13220)Termination reason: Unknown
% 6.21/2.03 % (13220)Termination phase: Saturation
% 6.21/2.03
% 6.21/2.03 % (13220)Memory used [KB]: 5884
% 6.21/2.03 % (13220)Time elapsed: 0.051 s
% 6.21/2.03 % (13220)Instructions burned: 96 (million)
% 6.21/2.03 % (13220)------------------------------
% 6.21/2.03 % (13220)------------------------------
% 6.21/2.05 % (13223)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_13069 for (2993ds/83Mi)
% 6.21/2.05 % (13224)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_13069 for (2993ds/11Mi)
% 6.21/2.05 % (13222)Instruction limit reached!
% 6.21/2.05 % (13222)------------------------------
% 6.21/2.05 % (13222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.05 % (13222)Termination reason: Unknown
% 6.21/2.05 % (13222)Termination phase: Saturation
% 6.21/2.05
% 6.21/2.05 % (13222)Memory used [KB]: 5884
% 6.21/2.05 % (13222)Time elapsed: 0.042 s
% 6.21/2.05 % (13222)Instructions burned: 72 (million)
% 6.21/2.05 % (13222)------------------------------
% 6.21/2.05 % (13222)------------------------------
% 6.21/2.05 % (13224)Instruction limit reached!
% 6.21/2.05 % (13224)------------------------------
% 6.21/2.05 % (13224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.05 % (13224)Termination reason: Unknown
% 6.21/2.05 % (13224)Termination phase: Saturation
% 6.21/2.05
% 6.21/2.05 % (13224)Memory used [KB]: 5500
% 6.21/2.05 % (13224)Time elapsed: 0.007 s
% 6.21/2.05 % (13224)Instructions burned: 12 (million)
% 6.21/2.05 % (13224)------------------------------
% 6.21/2.05 % (13224)------------------------------
% 6.21/2.07 % (13226)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_13069 for (2992ds/6Mi)
% 6.21/2.07 % (13225)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_13069 for (2992ds/41Mi)
% 6.21/2.07 % (13226)Instruction limit reached!
% 6.21/2.07 % (13226)------------------------------
% 6.21/2.07 % (13226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.07 % (13226)Termination reason: Unknown
% 6.21/2.07 % (13226)Termination phase: Saturation
% 6.21/2.07
% 6.21/2.07 % (13226)Memory used [KB]: 5500
% 6.21/2.07 % (13226)Time elapsed: 0.005 s
% 6.21/2.07 % (13226)Instructions burned: 6 (million)
% 6.21/2.07 % (13226)------------------------------
% 6.21/2.07 % (13226)------------------------------
% 6.21/2.09 % (13223)Instruction limit reached!
% 6.21/2.09 % (13223)------------------------------
% 6.21/2.09 % (13223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.09 % (13223)Termination reason: Unknown
% 6.21/2.09 % (13223)Termination phase: Saturation
% 6.21/2.09
% 6.21/2.09 % (13223)Memory used [KB]: 5884
% 6.21/2.09 % (13223)Time elapsed: 0.044 s
% 6.21/2.09 % (13223)Instructions burned: 83 (million)
% 6.21/2.09 % (13223)------------------------------
% 6.21/2.09 % (13223)------------------------------
% 6.21/2.09 % (13227)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_13069 for (2992ds/150Mi)
% 6.21/2.09 % (13225)Instruction limit reached!
% 6.21/2.09 % (13225)------------------------------
% 6.21/2.09 % (13225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.09 % (13225)Termination reason: Unknown
% 6.21/2.09 % (13225)Termination phase: Saturation
% 6.21/2.09
% 6.21/2.09 % (13225)Memory used [KB]: 5628
% 6.21/2.09 % (13225)Time elapsed: 0.023 s
% 6.21/2.09 % (13225)Instructions burned: 41 (million)
% 6.21/2.09 % (13225)------------------------------
% 6.21/2.09 % (13225)------------------------------
% 6.21/2.11 % (13228)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_13069 for (2992ds/343Mi)
% 6.21/2.11 % (13210)Instruction limit reached!
% 6.21/2.11 % (13210)------------------------------
% 6.21/2.11 % (13210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.11 % (13210)Termination reason: Unknown
% 6.21/2.11 % (13210)Termination phase: Saturation
% 6.21/2.11
% 6.21/2.11 % (13210)Memory used [KB]: 6652
% 6.21/2.11 % (13210)Time elapsed: 0.276 s
% 6.21/2.11 % (13210)Instructions burned: 507 (million)
% 6.21/2.11 % (13210)------------------------------
% 6.21/2.11 % (13210)------------------------------
% 6.21/2.11 % (13229)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_13069 for (2992ds/109Mi)
% 6.21/2.13 % (13230)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_13069 for (2992ds/253Mi)
% 6.89/2.16 % (13227)Instruction limit reached!
% 6.89/2.16 % (13227)------------------------------
% 6.89/2.16 % (13227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.89/2.16 % (13227)Termination reason: Unknown
% 6.89/2.16 % (13227)Termination phase: Saturation
% 6.89/2.16
% 6.89/2.16 % (13227)Memory used [KB]: 6012
% 6.89/2.16 % (13227)Time elapsed: 0.076 s
% 6.89/2.16 % (13227)Instructions burned: 150 (million)
% 6.89/2.16 % (13227)------------------------------
% 6.89/2.16 % (13227)------------------------------
% 6.89/2.17 % (13229)Instruction limit reached!
% 6.89/2.17 % (13229)------------------------------
% 6.89/2.17 % (13229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.89/2.17 % (13229)Termination reason: Unknown
% 6.89/2.17 % (13229)Termination phase: Saturation
% 6.89/2.17
% 6.89/2.17 % (13229)Memory used [KB]: 6140
% 6.89/2.17 % (13229)Time elapsed: 0.058 s
% 6.89/2.17 % (13229)Instructions burned: 109 (million)
% 6.89/2.17 % (13229)------------------------------
% 6.89/2.17 % (13229)------------------------------
% 6.89/2.17 % (13217)Instruction limit reached!
% 6.89/2.17 % (13217)------------------------------
% 6.89/2.17 % (13217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.89/2.17 % (13217)Termination reason: Unknown
% 6.89/2.17 % (13217)Termination phase: Saturation
% 6.89/2.17
% 6.89/2.17 % (13217)Memory used [KB]: 3198
% 6.89/2.17 % (13217)Time elapsed: 0.236 s
% 6.89/2.17 % (13217)Instructions burned: 433 (million)
% 6.89/2.17 % (13217)------------------------------
% 6.89/2.17 % (13217)------------------------------
% 6.89/2.18 % (13231)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_13069 for (2991ds/140Mi)
% 6.89/2.18 % (13232)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_13069 for (2991ds/614Mi)
% 6.89/2.18 % (13233)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_13069 for (2991ds/202Mi)
% 7.22/2.24 % (13221)Instruction limit reached!
% 7.22/2.24 % (13221)------------------------------
% 7.22/2.24 % (13221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.24 % (13221)Termination reason: Unknown
% 7.22/2.24 % (13221)Termination phase: Saturation
% 7.22/2.24
% 7.22/2.24 % (13221)Memory used [KB]: 6140
% 7.22/2.24 % (13221)Time elapsed: 0.255 s
% 7.22/2.24 % (13221)Instructions burned: 454 (million)
% 7.22/2.24 % (13221)------------------------------
% 7.22/2.24 % (13221)------------------------------
% 7.22/2.25 % (13230)Instruction limit reached!
% 7.22/2.25 % (13230)------------------------------
% 7.22/2.25 % (13230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.25 % (13230)Termination reason: Unknown
% 7.22/2.25 % (13230)Termination phase: Saturation
% 7.22/2.25
% 7.22/2.25 % (13230)Memory used [KB]: 6140
% 7.22/2.25 % (13230)Time elapsed: 0.127 s
% 7.22/2.25 % (13230)Instructions burned: 253 (million)
% 7.22/2.25 % (13230)------------------------------
% 7.22/2.25 % (13230)------------------------------
% 7.22/2.25 % (13231)Instruction limit reached!
% 7.22/2.25 % (13231)------------------------------
% 7.22/2.25 % (13231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.25 % (13231)Termination reason: Unknown
% 7.22/2.25 % (13231)Termination phase: Saturation
% 7.22/2.25
% 7.22/2.25 % (13231)Memory used [KB]: 6140
% 7.22/2.25 % (13231)Time elapsed: 0.073 s
% 7.22/2.25 % (13231)Instructions burned: 141 (million)
% 7.22/2.25 % (13231)------------------------------
% 7.22/2.25 % (13231)------------------------------
% 7.22/2.26 % (13234)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_13069 for (2991ds/339Mi)
% 7.22/2.27 % (13235)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_13069 for (2991ds/283Mi)
% 7.22/2.27 % (13236)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_13069 for (2990ds/134Mi)
% 7.22/2.28 % (13228)Instruction limit reached!
% 7.22/2.28 % (13228)------------------------------
% 7.22/2.28 % (13228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.28 % (13228)Termination reason: Unknown
% 7.22/2.28 % (13228)Termination phase: Saturation
% 7.22/2.28
% 7.22/2.28 % (13228)Memory used [KB]: 6524
% 7.22/2.28 % (13228)Time elapsed: 0.175 s
% 7.22/2.28 % (13228)Instructions burned: 343 (million)
% 7.22/2.28 % (13228)------------------------------
% 7.22/2.28 % (13228)------------------------------
% 7.22/2.29 % (13233)Instruction limit reached!
% 7.22/2.29 % (13233)------------------------------
% 7.22/2.29 % (13233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.22/2.29 % (13233)Termination reason: Unknown
% 7.22/2.29 % (13233)Termination phase: Saturation
% 7.22/2.29
% 7.22/2.29 % (13233)Memory used [KB]: 6140
% 7.22/2.29 % (13233)Time elapsed: 0.113 s
% 7.22/2.29 % (13233)Instructions burned: 202 (million)
% 7.22/2.29 % (13233)------------------------------
% 7.22/2.29 % (13233)------------------------------
% 7.92/2.30 % (13237)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_13069 for (2990ds/298Mi)
% 7.92/2.31 % (13238)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_13069 for (2990ds/192Mi)
% 7.92/2.34 % (13236)Instruction limit reached!
% 7.92/2.34 % (13236)------------------------------
% 7.92/2.34 % (13236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.92/2.34 % (13236)Termination reason: Unknown
% 7.92/2.34 % (13236)Termination phase: Saturation
% 7.92/2.34
% 7.92/2.34 % (13236)Memory used [KB]: 6268
% 7.92/2.34 % (13236)Time elapsed: 0.070 s
% 7.92/2.34 % (13236)Instructions burned: 135 (million)
% 7.92/2.34 % (13236)------------------------------
% 7.92/2.34 % (13236)------------------------------
% 7.92/2.35 % (13239)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_13069 for (2990ds/258Mi)
% 8.12/2.40 % (13235)Instruction limit reached!
% 8.12/2.40 % (13235)------------------------------
% 8.12/2.40 % (13235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.40 % (13235)Termination reason: Unknown
% 8.12/2.40 % (13235)Termination phase: Saturation
% 8.12/2.40
% 8.12/2.40 % (13235)Memory used [KB]: 7547
% 8.12/2.40 % (13235)Time elapsed: 0.135 s
% 8.12/2.40 % (13235)Instructions burned: 284 (million)
% 8.12/2.40 % (13235)------------------------------
% 8.12/2.40 % (13235)------------------------------
% 8.12/2.42 % (13240)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_13069 for (2989ds/90Mi)
% 8.12/2.43 % (13238)Instruction limit reached!
% 8.12/2.43 % (13238)------------------------------
% 8.12/2.43 % (13238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.43 % (13238)Termination reason: Unknown
% 8.12/2.43 % (13238)Termination phase: Saturation
% 8.12/2.43
% 8.12/2.43 % (13238)Memory used [KB]: 6140
% 8.12/2.43 % (13238)Time elapsed: 0.114 s
% 8.12/2.43 % (13238)Instructions burned: 192 (million)
% 8.12/2.43 % (13238)------------------------------
% 8.12/2.43 % (13238)------------------------------
% 8.12/2.44 % (13234)Instruction limit reached!
% 8.12/2.44 % (13234)------------------------------
% 8.12/2.44 % (13234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.44 % (13234)Termination reason: Unknown
% 8.12/2.44 % (13234)Termination phase: Saturation
% 8.12/2.44
% 8.12/2.44 % (13234)Memory used [KB]: 6268
% 8.12/2.44 % (13234)Time elapsed: 0.177 s
% 8.12/2.44 % (13234)Instructions burned: 340 (million)
% 8.12/2.44 % (13234)------------------------------
% 8.12/2.44 % (13234)------------------------------
% 8.12/2.44 % (13239)Instruction limit reached!
% 8.12/2.44 % (13239)------------------------------
% 8.12/2.44 % (13239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.44 % (13239)Termination reason: Unknown
% 8.12/2.44 % (13239)Termination phase: Saturation
% 8.12/2.44
% 8.12/2.44 % (13239)Memory used [KB]: 6140
% 8.12/2.44 % (13239)Time elapsed: 0.087 s
% 8.12/2.44 % (13239)Instructions burned: 258 (million)
% 8.12/2.44 % (13239)------------------------------
% 8.12/2.44 % (13239)------------------------------
% 8.12/2.45 % (13241)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_13069 for (2989ds/231Mi)
% 8.12/2.45 % (13237)Instruction limit reached!
% 8.12/2.45 % (13237)------------------------------
% 8.12/2.45 % (13237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.45 % (13237)Termination reason: Unknown
% 8.12/2.45 % (13237)Termination phase: Saturation
% 8.12/2.45
% 8.12/2.45 % (13237)Memory used [KB]: 6396
% 8.12/2.45 % (13237)Time elapsed: 0.154 s
% 8.12/2.45 % (13237)Instructions burned: 298 (million)
% 8.12/2.45 % (13237)------------------------------
% 8.12/2.45 % (13237)------------------------------
% 8.12/2.45 % (13242)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_13069 for (2989ds/458Mi)
% 8.12/2.45 % (13243)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_13069 for (2989ds/31Mi)
% 8.12/2.46 % (13214)Instruction limit reached!
% 8.12/2.46 % (13214)------------------------------
% 8.12/2.46 % (13214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.46 % (13214)Termination reason: Unknown
% 8.12/2.46 % (13214)Termination phase: Saturation
% 8.12/2.46
% 8.12/2.46 % (13214)Memory used [KB]: 7036
% 8.12/2.46 % (13214)Time elapsed: 0.547 s
% 8.12/2.46 % (13214)Instructions burned: 1087 (million)
% 8.12/2.46 % (13214)------------------------------
% 8.12/2.46 % (13214)------------------------------
% 8.12/2.46 % (13240)Instruction limit reached!
% 8.12/2.46 % (13240)------------------------------
% 8.12/2.46 % (13240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.46 % (13240)Termination reason: Unknown
% 8.12/2.46 % (13240)Termination phase: Saturation
% 8.12/2.46
% 8.12/2.46 % (13240)Memory used [KB]: 6012
% 8.12/2.46 % (13240)Time elapsed: 0.046 s
% 8.12/2.46 % (13240)Instructions burned: 90 (million)
% 8.12/2.46 % (13240)------------------------------
% 8.12/2.46 % (13240)------------------------------
% 8.12/2.47 % (13243)Instruction limit reached!
% 8.12/2.47 % (13243)------------------------------
% 8.12/2.47 % (13243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.47 % (13243)Termination reason: Unknown
% 8.12/2.47 % (13243)Termination phase: Saturation
% 8.12/2.47
% 8.12/2.47 % (13243)Memory used [KB]: 5756
% 8.12/2.47 % (13243)Time elapsed: 0.039 s
% 8.12/2.47 % (13243)Instructions burned: 31 (million)
% 8.12/2.47 % (13243)------------------------------
% 8.12/2.47 % (13243)------------------------------
% 8.12/2.47 % (13245)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_13069 for (2989ds/987Mi)
% 8.12/2.48 % (13244)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_13069 for (2989ds/297Mi)
% 8.12/2.49 % (13247)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_13069 for (2988ds/182Mi)
% 8.12/2.49 % (13246)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_13069 for (2988ds/182Mi)
% 8.12/2.49 % (13232)Instruction limit reached!
% 8.12/2.49 % (13232)------------------------------
% 8.12/2.49 % (13232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.49 % (13232)Termination reason: Unknown
% 8.12/2.49 % (13232)Termination phase: Saturation
% 8.12/2.49
% 8.12/2.49 % (13232)Memory used [KB]: 6524
% 8.12/2.49 % (13232)Time elapsed: 0.313 s
% 8.12/2.49 % (13232)Instructions burned: 614 (million)
% 8.12/2.49 % (13232)------------------------------
% 8.12/2.49 % (13232)------------------------------
% 9.34/2.51 % (13248)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_13069 for (2988ds/154Mi)
% 9.34/2.53 % (13241)Instruction limit reached!
% 9.34/2.53 % (13241)------------------------------
% 9.34/2.53 % (13241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.34/2.53 % (13241)Termination reason: Unknown
% 9.34/2.53 % (13241)Termination phase: Saturation
% 9.34/2.53
% 9.34/2.53 % (13241)Memory used [KB]: 5884
% 9.34/2.53 % (13241)Time elapsed: 0.110 s
% 9.34/2.53 % (13241)Instructions burned: 232 (million)
% 9.34/2.53 % (13241)------------------------------
% 9.34/2.53 % (13241)------------------------------
% 9.34/2.55 % (13249)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_13069 for (2988ds/79Mi)
% 9.34/2.58 % (13247)Instruction limit reached!
% 9.34/2.58 % (13247)------------------------------
% 9.34/2.58 % (13247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.34/2.58 % (13247)Termination reason: Unknown
% 9.34/2.58 % (13247)Termination phase: Saturation
% 9.34/2.58
% 9.34/2.58 % (13247)Memory used [KB]: 6012
% 9.34/2.58 % (13247)Time elapsed: 0.117 s
% 9.34/2.58 % (13247)Instructions burned: 182 (million)
% 9.34/2.58 % (13247)------------------------------
% 9.34/2.58 % (13247)------------------------------
% 9.34/2.59 % (13249)Instruction limit reached!
% 9.34/2.59 % (13249)------------------------------
% 9.34/2.59 % (13249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.34/2.59 % (13249)Termination reason: Unknown
% 9.34/2.59 % (13249)Termination phase: Saturation
% 9.34/2.59
% 9.34/2.59 % (13249)Memory used [KB]: 5756
% 9.34/2.59 % (13249)Time elapsed: 0.066 s
% 9.34/2.59 % (13249)Instructions burned: 79 (million)
% 9.34/2.59 % (13249)------------------------------
% 9.34/2.59 % (13249)------------------------------
% 9.34/2.59 % (13248)Instruction limit reached!
% 9.34/2.59 % (13248)------------------------------
% 9.34/2.59 % (13248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.34/2.59 % (13248)Termination reason: Unknown
% 9.34/2.59 % (13248)Termination phase: Saturation
% 9.34/2.59
% 9.34/2.59 % (13248)Memory used [KB]: 6140
% 9.34/2.59 % (13248)Time elapsed: 0.105 s
% 9.34/2.59 % (13248)Instructions burned: 155 (million)
% 9.34/2.59 % (13248)------------------------------
% 9.34/2.59 % (13248)------------------------------
% 9.34/2.59 % (13246)Instruction limit reached!
% 9.34/2.59 % (13246)------------------------------
% 9.34/2.59 % (13246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.34/2.59 % (13246)Termination reason: Unknown
% 9.34/2.59 % (13246)Termination phase: Saturation
% 9.34/2.59
% 9.34/2.59 % (13246)Memory used [KB]: 6652
% 9.34/2.59 % (13246)Time elapsed: 0.128 s
% 9.34/2.59 % (13246)Instructions burned: 182 (million)
% 9.34/2.59 % (13246)------------------------------
% 9.34/2.59 % (13246)------------------------------
% 9.82/2.60 % (13250)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_13069 for (2987ds/216Mi)
% 9.82/2.60 % (13251)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_13069 for (2987ds/114Mi)
% 9.82/2.61 % (13252)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_13069 for (2987ds/922Mi)
% 9.82/2.61 % (13253)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_13069 for (2987ds/182Mi)
% 9.82/2.62 % (13244)Instruction limit reached!
% 9.82/2.62 % (13244)------------------------------
% 9.82/2.62 % (13244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.82/2.62 % (13244)Termination reason: Unknown
% 9.82/2.62 % (13244)Termination phase: Saturation
% 9.82/2.62
% 9.82/2.62 % (13244)Memory used [KB]: 6524
% 9.82/2.62 % (13244)Time elapsed: 0.175 s
% 9.82/2.62 % (13244)Instructions burned: 297 (million)
% 9.82/2.62 % (13244)------------------------------
% 9.82/2.62 % (13244)------------------------------
% 9.82/2.64 % (13254)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_13069 for (2987ds/164Mi)
% 9.82/2.66 % (13251)Instruction limit reached!
% 9.82/2.66 % (13251)------------------------------
% 9.82/2.66 % (13251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.82/2.66 % (13251)Termination reason: Unknown
% 9.82/2.66 % (13251)Termination phase: Saturation
% 9.82/2.66
% 9.82/2.66 % (13251)Memory used [KB]: 6268
% 9.82/2.66 % (13251)Time elapsed: 0.056 s
% 9.82/2.66 % (13251)Instructions burned: 114 (million)
% 9.82/2.66 % (13251)------------------------------
% 9.82/2.66 % (13251)------------------------------
% 9.82/2.68 % (13255)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_13069 for (2986ds/50Mi)
% 9.82/2.69 % (13242)Instruction limit reached!
% 9.82/2.69 % (13242)------------------------------
% 9.82/2.69 % (13242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.82/2.69 % (13242)Termination reason: Unknown
% 9.82/2.69 % (13242)Termination phase: Saturation
% 9.82/2.69
% 9.82/2.69 % (13242)Memory used [KB]: 6652
% 9.82/2.69 % (13242)Time elapsed: 0.259 s
% 9.82/2.69 % (13242)Instructions burned: 459 (million)
% 9.82/2.69 % (13242)------------------------------
% 9.82/2.69 % (13242)------------------------------
% 10.30/2.70 % (13255)Instruction limit reached!
% 10.30/2.70 % (13255)------------------------------
% 10.30/2.70 % (13255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.70 % (13255)Termination reason: Unknown
% 10.30/2.70 % (13255)Termination phase: Saturation
% 10.30/2.70
% 10.30/2.70 % (13255)Memory used [KB]: 10362
% 10.30/2.70 % (13255)Time elapsed: 0.029 s
% 10.30/2.70 % (13255)Instructions burned: 51 (million)
% 10.30/2.70 % (13255)------------------------------
% 10.30/2.70 % (13255)------------------------------
% 10.30/2.70 % (13250)Instruction limit reached!
% 10.30/2.70 % (13250)------------------------------
% 10.30/2.70 % (13250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.70 % (13250)Termination reason: Unknown
% 10.30/2.70 % (13250)Termination phase: Saturation
% 10.30/2.70
% 10.30/2.70 % (13250)Memory used [KB]: 6140
% 10.30/2.70 % (13250)Time elapsed: 0.136 s
% 10.30/2.70 % (13250)Instructions burned: 217 (million)
% 10.30/2.70 % (13250)------------------------------
% 10.30/2.70 % (13250)------------------------------
% 10.30/2.71 % (13256)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_13069 for (2986ds/368Mi)
% 10.30/2.72 % (13253)Instruction limit reached!
% 10.30/2.72 % (13253)------------------------------
% 10.30/2.72 % (13253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.72 % (13253)Termination reason: Unknown
% 10.30/2.72 % (13253)Termination phase: Saturation
% 10.30/2.72
% 10.30/2.72 % (13253)Memory used [KB]: 5756
% 10.30/2.72 % (13253)Time elapsed: 0.105 s
% 10.30/2.72 % (13253)Instructions burned: 182 (million)
% 10.30/2.72 % (13253)------------------------------
% 10.30/2.72 % (13253)------------------------------
% 10.30/2.72 % (13257)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_13069 for (2986ds/1021Mi)
% 10.30/2.72 % (13258)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_13069 for (2986ds/267Mi)
% 10.30/2.73 % (13254)Instruction limit reached!
% 10.30/2.73 % (13254)------------------------------
% 10.30/2.73 % (13254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.73 % (13254)Termination reason: Unknown
% 10.30/2.73 % (13254)Termination phase: Saturation
% 10.30/2.73
% 10.30/2.73 % (13254)Memory used [KB]: 1535
% 10.30/2.73 % (13254)Time elapsed: 0.086 s
% 10.30/2.73 % (13254)Instructions burned: 164 (million)
% 10.30/2.73 % (13254)------------------------------
% 10.30/2.73 % (13254)------------------------------
% 10.30/2.74 % (13259)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_13069 for (2986ds/204Mi)
% 10.30/2.74 % (13260)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_13069 for (2986ds/26Mi)
% 10.30/2.76 % (13260)Instruction limit reached!
% 10.30/2.76 % (13260)------------------------------
% 10.30/2.76 % (13260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.76 % (13260)Termination reason: Unknown
% 10.30/2.76 % (13260)Termination phase: Saturation
% 10.30/2.76
% 10.30/2.76 % (13260)Memory used [KB]: 5628
% 10.30/2.76 % (13260)Time elapsed: 0.015 s
% 10.30/2.76 % (13260)Instructions burned: 26 (million)
% 10.30/2.76 % (13260)------------------------------
% 10.30/2.76 % (13260)------------------------------
% 10.30/2.77 % (13261)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_13069 for (2985ds/53Mi)
% 10.73/2.80 % (13261)Instruction limit reached!
% 10.73/2.80 % (13261)------------------------------
% 10.73/2.80 % (13261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.80 % (13261)Termination reason: Unknown
% 10.73/2.80 % (13261)Termination phase: Saturation
% 10.73/2.80
% 10.73/2.80 % (13261)Memory used [KB]: 5884
% 10.73/2.80 % (13261)Time elapsed: 0.029 s
% 10.73/2.80 % (13261)Instructions burned: 55 (million)
% 10.73/2.80 % (13261)------------------------------
% 10.73/2.80 % (13261)------------------------------
% 10.73/2.82 % (13262)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_13069 for (2985ds/4436Mi)
% 10.73/2.85 % (13259)Instruction limit reached!
% 10.73/2.85 % (13259)------------------------------
% 10.73/2.85 % (13259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.85 % (13259)Termination reason: Unknown
% 10.73/2.85 % (13259)Termination phase: Saturation
% 10.73/2.85
% 10.73/2.85 % (13259)Memory used [KB]: 6012
% 10.73/2.85 % (13259)Time elapsed: 0.120 s
% 10.73/2.85 % (13259)Instructions burned: 204 (million)
% 10.73/2.85 % (13259)------------------------------
% 10.73/2.85 % (13259)------------------------------
% 10.73/2.86 % (13258)Instruction limit reached!
% 10.73/2.86 % (13258)------------------------------
% 10.73/2.86 % (13258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.86 % (13258)Termination reason: Unknown
% 10.73/2.86 % (13258)Termination phase: Saturation
% 10.73/2.86
% 10.73/2.86 % (13258)Memory used [KB]: 6396
% 10.73/2.86 % (13258)Time elapsed: 0.137 s
% 10.73/2.86 % (13258)Instructions burned: 268 (million)
% 10.73/2.86 % (13258)------------------------------
% 10.73/2.86 % (13258)------------------------------
% 10.73/2.87 % (13263)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_13069 for (2984ds/1539Mi)
% 10.73/2.87 % (13264)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_13069 for (2984ds/408Mi)
% 10.73/2.89 % (13256)Instruction limit reached!
% 10.73/2.89 % (13256)------------------------------
% 10.73/2.89 % (13256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.89 % (13256)Termination reason: Unknown
% 10.73/2.89 % (13256)Termination phase: Saturation
% 10.73/2.89
% 10.73/2.89 % (13256)Memory used [KB]: 6780
% 10.73/2.89 % (13256)Time elapsed: 0.184 s
% 10.73/2.89 % (13256)Instructions burned: 369 (million)
% 10.73/2.89 % (13256)------------------------------
% 10.73/2.89 % (13256)------------------------------
% 11.26/2.91 % (13265)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_13069 for (2984ds/5205Mi)
% 11.26/2.95 % (13245)Instruction limit reached!
% 11.26/2.95 % (13245)------------------------------
% 11.26/2.95 % (13245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.26/2.95 % (13245)Termination reason: Unknown
% 11.26/2.95 % (13245)Termination phase: Saturation
% 11.26/2.95
% 11.26/2.95 % (13245)Memory used [KB]: 7931
% 11.26/2.95 % (13245)Time elapsed: 0.503 s
% 11.26/2.95 % (13245)Instructions burned: 987 (million)
% 11.26/2.95 % (13245)------------------------------
% 11.26/2.95 % (13245)------------------------------
% 11.26/2.97 % (13266)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_13069 for (2983ds/1913Mi)
% 13.21/3.08 % (13264)Instruction limit reached!
% 13.21/3.08 % (13264)------------------------------
% 13.21/3.08 % (13264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.21/3.08 % (13264)Termination reason: Unknown
% 13.21/3.08 % (13264)Termination phase: Saturation
% 13.21/3.08
% 13.21/3.08 % (13264)Memory used [KB]: 6780
% 13.21/3.08 % (13264)Time elapsed: 0.211 s
% 13.21/3.08 % (13264)Instructions burned: 409 (million)
% 13.21/3.08 % (13264)------------------------------
% 13.21/3.08 % (13264)------------------------------
% 13.21/3.10 % (13252)Instruction limit reached!
% 13.21/3.10 % (13252)------------------------------
% 13.21/3.10 % (13252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.21/3.10 % (13252)Termination reason: Unknown
% 13.21/3.10 % (13252)Termination phase: Saturation
% 13.21/3.10
% 13.21/3.10 % (13252)Memory used [KB]: 7164
% 13.21/3.10 % (13252)Time elapsed: 0.490 s
% 13.21/3.10 % (13252)Instructions burned: 923 (million)
% 13.21/3.10 % (13252)------------------------------
% 13.21/3.10 % (13252)------------------------------
% 13.21/3.10 % (13267)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_13069 for (2982ds/4350Mi)
% 13.21/3.12 % (13268)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_13069 for (2982ds/68Mi)
% 13.87/3.15 % (13268)Instruction limit reached!
% 13.87/3.15 % (13268)------------------------------
% 13.87/3.15 % (13268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.87/3.15 % (13268)Termination reason: Unknown
% 13.87/3.15 % (13268)Termination phase: Saturation
% 13.87/3.15
% 13.87/3.15 % (13268)Memory used [KB]: 6012
% 13.87/3.15 % (13268)Time elapsed: 0.038 s
% 13.87/3.15 % (13268)Instructions burned: 69 (million)
% 13.87/3.15 % (13268)------------------------------
% 13.87/3.15 % (13268)------------------------------
% 13.87/3.17 % (13269)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_13069 for (2981ds/358Mi)
% 14.29/3.22 % (13257)Instruction limit reached!
% 14.29/3.22 % (13257)------------------------------
% 14.29/3.22 % (13257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.29/3.22 % (13257)Termination reason: Unknown
% 14.29/3.22 % (13257)Termination phase: Saturation
% 14.29/3.22
% 14.29/3.22 % (13257)Memory used [KB]: 6524
% 14.29/3.22 % (13257)Time elapsed: 0.505 s
% 14.29/3.22 % (13257)Instructions burned: 1022 (million)
% 14.29/3.22 % (13257)------------------------------
% 14.29/3.22 % (13257)------------------------------
% 14.29/3.24 % (13270)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_13069 for (2981ds/31Mi)
% 14.29/3.26 % (13270)Instruction limit reached!
% 14.29/3.26 % (13270)------------------------------
% 14.29/3.26 % (13270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.29/3.26 % (13270)Termination reason: Unknown
% 14.29/3.26 % (13270)Termination phase: Saturation
% 14.29/3.26
% 14.29/3.26 % (13270)Memory used [KB]: 5756
% 14.29/3.26 % (13270)Time elapsed: 0.018 s
% 14.29/3.26 % (13270)Instructions burned: 31 (million)
% 14.29/3.26 % (13270)------------------------------
% 14.29/3.26 % (13270)------------------------------
% 14.29/3.27 % (13271)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_13069 for (2980ds/279Mi)
% 14.77/3.37 % (13269)Instruction limit reached!
% 14.77/3.37 % (13269)------------------------------
% 14.77/3.37 % (13269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.77/3.37 % (13269)Termination reason: Unknown
% 14.77/3.37 % (13269)Termination phase: Saturation
% 14.77/3.37
% 14.77/3.37 % (13269)Memory used [KB]: 6268
% 14.77/3.37 % (13269)Time elapsed: 0.204 s
% 14.77/3.37 % (13269)Instructions burned: 359 (million)
% 14.77/3.37 % (13269)------------------------------
% 14.77/3.37 % (13269)------------------------------
% 14.77/3.39 % (13272)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_13069 for (2979ds/258Mi)
% 15.38/3.41 % (13271)Instruction limit reached!
% 15.38/3.41 % (13271)------------------------------
% 15.38/3.41 % (13271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.38/3.41 % (13271)Termination reason: Unknown
% 15.38/3.41 % (13271)Termination phase: Saturation
% 15.38/3.41
% 15.38/3.41 % (13271)Memory used [KB]: 6140
% 15.38/3.41 % (13271)Time elapsed: 0.138 s
% 15.38/3.41 % (13271)Instructions burned: 280 (million)
% 15.38/3.41 % (13271)------------------------------
% 15.38/3.41 % (13271)------------------------------
% 15.38/3.43 % (13273)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_13069 for (2979ds/26Mi)
% 15.38/3.44 % (13273)Instruction limit reached!
% 15.38/3.44 % (13273)------------------------------
% 15.38/3.44 % (13273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.38/3.44 % (13273)Termination reason: Unknown
% 15.38/3.44 % (13273)Termination phase: Saturation
% 15.38/3.44
% 15.38/3.44 % (13273)Memory used [KB]: 5628
% 15.38/3.44 % (13273)Time elapsed: 0.015 s
% 15.38/3.44 % (13273)Instructions burned: 27 (million)
% 15.38/3.44 % (13273)------------------------------
% 15.38/3.44 % (13273)------------------------------
% 15.38/3.46 % (13274)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_13069 for (2979ds/995Mi)
% 15.95/3.54 % (13272)Instruction limit reached!
% 15.95/3.54 % (13272)------------------------------
% 15.95/3.54 % (13272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.95/3.54 % (13272)Termination reason: Unknown
% 15.95/3.54 % (13272)Termination phase: Saturation
% 15.95/3.54
% 15.95/3.54 % (13272)Memory used [KB]: 6268
% 15.95/3.54 % (13272)Time elapsed: 0.152 s
% 15.95/3.54 % (13272)Instructions burned: 258 (million)
% 15.95/3.54 % (13272)------------------------------
% 15.95/3.54 % (13272)------------------------------
% 15.95/3.56 % (13275)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_13069 for (2978ds/373Mi)
% 16.52/3.68 % (13263)Instruction limit reached!
% 16.52/3.68 % (13263)------------------------------
% 16.52/3.68 % (13263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.52/3.68 % (13263)Termination reason: Unknown
% 16.52/3.68 % (13263)Termination phase: Saturation
% 16.52/3.68
% 16.52/3.68 % (13263)Memory used [KB]: 7931
% 16.52/3.68 % (13263)Time elapsed: 0.807 s
% 16.52/3.68 % (13263)Instructions burned: 1539 (million)
% 16.52/3.68 % (13263)------------------------------
% 16.52/3.68 % (13263)------------------------------
% 16.52/3.70 % (13276)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_13069 for (2976ds/253Mi)
% 16.91/3.75 % (13275)Instruction limit reached!
% 16.91/3.75 % (13275)------------------------------
% 16.91/3.75 % (13275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.91/3.75 % (13275)Termination reason: Unknown
% 16.91/3.75 % (13275)Termination phase: Saturation
% 16.91/3.75
% 16.91/3.75 % (13275)Memory used [KB]: 6652
% 16.91/3.75 % (13275)Time elapsed: 0.190 s
% 16.91/3.75 % (13275)Instructions burned: 374 (million)
% 16.91/3.75 % (13275)------------------------------
% 16.91/3.75 % (13275)------------------------------
% 16.91/3.77 % (13277)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_13069 for (2975ds/832Mi)
% 17.43/3.81 % (13276)Instruction limit reached!
% 17.43/3.81 % (13276)------------------------------
% 17.43/3.81 % (13276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.43/3.81 % (13276)Termination reason: Unknown
% 17.43/3.81 % (13276)Termination phase: Saturation
% 17.43/3.81
% 17.43/3.81 % (13276)Memory used [KB]: 5756
% 17.43/3.81 % (13276)Time elapsed: 0.121 s
% 17.43/3.81 % (13276)Instructions burned: 253 (million)
% 17.43/3.81 % (13276)------------------------------
% 17.43/3.81 % (13276)------------------------------
% 17.43/3.83 % (13278)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_13069 for (2975ds/668Mi)
% 17.87/3.93 % (13266)Instruction limit reached!
% 17.87/3.93 % (13266)------------------------------
% 17.87/3.93 % (13266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.87/3.93 % (13266)Termination reason: Unknown
% 17.87/3.93 % (13266)Termination phase: Saturation
% 17.87/3.93
% 17.87/3.93 % (13266)Memory used [KB]: 3454
% 17.87/3.93 % (13266)Time elapsed: 0.964 s
% 17.87/3.93 % (13266)Instructions burned: 1913 (million)
% 17.87/3.93 % (13266)------------------------------
% 17.87/3.93 % (13266)------------------------------
% 17.87/3.95 % (13279)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_13069 for (2974ds/40Mi)
% 17.87/3.97 % (13279)Instruction limit reached!
% 17.87/3.97 % (13279)------------------------------
% 17.87/3.97 % (13279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.87/3.97 % (13279)Termination reason: Unknown
% 17.87/3.97 % (13279)Termination phase: Saturation
% 17.87/3.97
% 17.87/3.97 % (13279)Memory used [KB]: 5756
% 17.87/3.97 % (13279)Time elapsed: 0.022 s
% 17.87/3.97 % (13279)Instructions burned: 40 (million)
% 17.87/3.97 % (13279)------------------------------
% 17.87/3.97 % (13279)------------------------------
% 17.87/3.99 % (13280)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_13069 for (2973ds/294Mi)
% 17.87/4.01 % (13274)Instruction limit reached!
% 17.87/4.01 % (13274)------------------------------
% 17.87/4.01 % (13274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.87/4.01 % (13274)Termination reason: Unknown
% 17.87/4.01 % (13274)Termination phase: Saturation
% 17.87/4.01
% 17.87/4.01 % (13274)Memory used [KB]: 6268
% 17.87/4.01 % (13274)Time elapsed: 0.555 s
% 17.87/4.01 % (13274)Instructions burned: 996 (million)
% 17.87/4.01 % (13274)------------------------------
% 17.87/4.01 % (13274)------------------------------
% 20.19/4.03 % (13281)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_13069 for (2973ds/187Mi)
% 20.81/4.13 % (13280)Instruction limit reached!
% 20.81/4.13 % (13280)------------------------------
% 20.81/4.13 % (13280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.81/4.13 % (13280)Termination reason: Unknown
% 20.81/4.13 % (13280)Termination phase: Saturation
% 20.81/4.13
% 20.81/4.13 % (13280)Memory used [KB]: 6396
% 20.81/4.13 % (13280)Time elapsed: 0.148 s
% 20.81/4.13 % (13280)Instructions burned: 294 (million)
% 20.81/4.13 % (13280)------------------------------
% 20.81/4.13 % (13280)------------------------------
% 20.81/4.14 % (13281)Instruction limit reached!
% 20.81/4.14 % (13281)------------------------------
% 20.81/4.14 % (13281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.81/4.14 % (13281)Termination reason: Unknown
% 20.81/4.14 % (13281)Termination phase: Saturation
% 20.81/4.14
% 20.81/4.14 % (13281)Memory used [KB]: 6652
% 20.81/4.14 % (13281)Time elapsed: 0.133 s
% 20.81/4.14 % (13281)Instructions burned: 187 (million)
% 20.81/4.14 % (13281)------------------------------
% 20.81/4.14 % (13281)------------------------------
% 20.81/4.15 % (13282)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_13069 for (2972ds/371Mi)
% 20.81/4.16 % (13283)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_13069 for (2972ds/1827Mi)
% 20.81/4.17 % (13277)Instruction limit reached!
% 20.81/4.17 % (13277)------------------------------
% 20.81/4.17 % (13277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.81/4.17 % (13277)Termination reason: Unknown
% 20.81/4.17 % (13277)Termination phase: Saturation
% 20.81/4.17
% 20.81/4.17 % (13277)Memory used [KB]: 6524
% 20.81/4.17 % (13277)Time elapsed: 0.399 s
% 20.81/4.17 % (13277)Instructions burned: 832 (million)
% 20.81/4.17 % (13277)------------------------------
% 20.81/4.17 % (13277)------------------------------
% 20.81/4.18 % (13284)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_13069 for (2971ds/70Mi)
% 21.28/4.20 % (13278)Instruction limit reached!
% 21.28/4.20 % (13278)------------------------------
% 21.28/4.20 % (13278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.28/4.20 % (13278)Termination reason: Unknown
% 21.28/4.20 % (13278)Termination phase: Saturation
% 21.28/4.20
% 21.28/4.20 % (13278)Memory used [KB]: 11641
% 21.28/4.20 % (13278)Time elapsed: 0.371 s
% 21.28/4.20 % (13278)Instructions burned: 669 (million)
% 21.28/4.20 % (13278)------------------------------
% 21.28/4.20 % (13278)------------------------------
% 21.28/4.22 % (13284)Instruction limit reached!
% 21.28/4.22 % (13284)------------------------------
% 21.28/4.22 % (13284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.28/4.22 % (13284)Termination reason: Unknown
% 21.28/4.22 % (13284)Termination phase: Saturation
% 21.28/4.22
% 21.28/4.22 % (13284)Memory used [KB]: 1663
% 21.28/4.22 % (13284)Time elapsed: 0.036 s
% 21.28/4.22 % (13284)Instructions burned: 71 (million)
% 21.28/4.22 % (13284)------------------------------
% 21.28/4.22 % (13284)------------------------------
% 21.28/4.23 % (13285)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_13069 for (2971ds/316Mi)
% 21.28/4.24 % (13286)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_13069 for (2971ds/932Mi)
% 21.65/4.33 % (13282)Instruction limit reached!
% 21.65/4.33 % (13282)------------------------------
% 21.65/4.33 % (13282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.65/4.33 % (13282)Termination reason: Unknown
% 21.65/4.33 % (13282)Termination phase: Saturation
% 21.65/4.33
% 21.65/4.33 % (13282)Memory used [KB]: 6652
% 21.65/4.33 % (13282)Time elapsed: 0.211 s
% 21.65/4.33 % (13282)Instructions burned: 371 (million)
% 21.65/4.33 % (13282)------------------------------
% 21.65/4.33 % (13282)------------------------------
% 21.65/4.35 % (13287)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_13069 for (2970ds/4714Mi)
% 22.15/4.41 % (13285)Instruction limit reached!
% 22.15/4.41 % (13285)------------------------------
% 22.15/4.41 % (13285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.15/4.41 % (13285)Termination reason: Unknown
% 22.15/4.41 % (13285)Termination phase: Saturation
% 22.15/4.41
% 22.15/4.41 % (13285)Memory used [KB]: 6652
% 22.15/4.41 % (13285)Time elapsed: 0.179 s
% 22.15/4.41 % (13285)Instructions burned: 316 (million)
% 22.15/4.41 % (13285)------------------------------
% 22.15/4.41 % (13285)------------------------------
% 22.15/4.43 % (13288)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_13069 for (2969ds/8250Mi)
% 23.25/4.71 % (13286)Instruction limit reached!
% 23.25/4.71 % (13286)------------------------------
% 23.25/4.71 % (13286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.25/4.71 % (13286)Termination reason: Unknown
% 23.25/4.71 % (13286)Termination phase: Saturation
% 23.25/4.71
% 23.25/4.71 % (13286)Memory used [KB]: 8955
% 23.25/4.71 % (13286)Time elapsed: 0.475 s
% 23.25/4.71 % (13286)Instructions burned: 933 (million)
% 23.25/4.71 % (13286)------------------------------
% 23.25/4.71 % (13286)------------------------------
% 23.25/4.73 % (13289)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_13069 for (2966ds/770Mi)
% 27.17/5.06 % (13262)Instruction limit reached!
% 27.17/5.06 % (13262)------------------------------
% 27.17/5.06 % (13262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.17/5.06 % (13262)Termination reason: Unknown
% 27.17/5.06 % (13262)Termination phase: Saturation
% 27.17/5.06
% 27.17/5.06 % (13262)Memory used [KB]: 10106
% 27.17/5.06 % (13262)Time elapsed: 2.242 s
% 27.17/5.06 % (13262)Instructions burned: 4437 (million)
% 27.17/5.06 % (13262)------------------------------
% 27.17/5.06 % (13262)------------------------------
% 27.17/5.08 % (13290)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_13069 for (2962ds/794Mi)
% 27.83/5.13 % (13289)Instruction limit reached!
% 27.83/5.13 % (13289)------------------------------
% 27.83/5.13 % (13289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.83/5.13 % (13289)Termination reason: Unknown
% 27.83/5.13 % (13289)Termination phase: Saturation
% 27.83/5.13
% 27.83/5.13 % (13289)Memory used [KB]: 7036
% 27.83/5.13 % (13289)Time elapsed: 0.398 s
% 27.83/5.13 % (13289)Instructions burned: 770 (million)
% 27.83/5.13 % (13289)------------------------------
% 27.83/5.13 % (13289)------------------------------
% 27.83/5.14 % (13283)Instruction limit reached!
% 27.83/5.14 % (13283)------------------------------
% 27.83/5.14 % (13283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.83/5.14 % (13283)Termination reason: Unknown
% 27.83/5.14 % (13283)Termination phase: Saturation
% 27.83/5.14
% 27.83/5.14 % (13283)Memory used [KB]: 7931
% 27.83/5.14 % (13283)Time elapsed: 1.003 s
% 27.83/5.14 % (13283)Instructions burned: 1827 (million)
% 27.83/5.14 % (13283)------------------------------
% 27.83/5.14 % (13283)------------------------------
% 27.83/5.15 % (13267)Instruction limit reached!
% 27.83/5.15 % (13267)------------------------------
% 27.83/5.15 % (13267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.83/5.15 % (13267)Termination reason: Unknown
% 27.83/5.15 % (13267)Termination phase: Saturation
% 27.83/5.15
% 27.83/5.15 % (13267)Memory used [KB]: 9594
% 27.83/5.15 % (13267)Time elapsed: 2.051 s
% 27.83/5.15 % (13267)Instructions burned: 4350 (million)
% 27.83/5.15 % (13267)------------------------------
% 27.83/5.15 % (13267)------------------------------
% 27.83/5.15 % (13291)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_13069 for (2962ds/464Mi)
% 27.83/5.16 % (13292)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_13069 for (2962ds/1376Mi)
% 27.83/5.17 % (13293)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_13069 for (2961ds/906Mi)
% 28.43/5.39 % (13291)Instruction limit reached!
% 28.43/5.39 % (13291)------------------------------
% 28.43/5.39 % (13291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.43/5.39 % (13291)Termination reason: Unknown
% 28.43/5.39 % (13291)Termination phase: Saturation
% 28.43/5.39
% 28.43/5.39 % (13291)Memory used [KB]: 6268
% 28.43/5.39 % (13291)Time elapsed: 0.242 s
% 28.43/5.39 % (13291)Instructions burned: 464 (million)
% 28.43/5.39 % (13291)------------------------------
% 28.43/5.39 % (13291)------------------------------
% 28.98/5.41 % (13294)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_13069 for (2959ds/434Mi)
% 28.98/5.48 % (13290)Instruction limit reached!
% 28.98/5.48 % (13290)------------------------------
% 28.98/5.48 % (13290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.98/5.48 % (13290)Termination reason: Unknown
% 28.98/5.48 % (13290)Termination phase: Saturation
% 28.98/5.48
% 28.98/5.48 % (13290)Memory used [KB]: 2558
% 28.98/5.48 % (13290)Time elapsed: 0.404 s
% 28.98/5.48 % (13290)Instructions burned: 794 (million)
% 28.98/5.48 % (13290)------------------------------
% 28.98/5.48 % (13290)------------------------------
% 29.69/5.50 % (13295)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_13069 for (2958ds/865Mi)
% 29.69/5.52 % (13265)Instruction limit reached!
% 29.69/5.52 % (13265)------------------------------
% 29.69/5.52 % (13265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.69/5.52 % (13265)Termination reason: Unknown
% 29.69/5.52 % (13265)Termination phase: Saturation
% 29.69/5.52
% 29.69/5.52 % (13265)Memory used [KB]: 13432
% 29.69/5.52 % (13265)Time elapsed: 2.612 s
% 29.69/5.52 % (13265)Instructions burned: 5206 (million)
% 29.69/5.52 % (13265)------------------------------
% 29.69/5.52 % (13265)------------------------------
% 29.69/5.54 % (13296)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_13069 for (2958ds/593Mi)
% 29.92/5.63 % (13294)Instruction limit reached!
% 29.92/5.63 % (13294)------------------------------
% 29.92/5.63 % (13294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.92/5.63 % (13294)Termination reason: Unknown
% 29.92/5.63 % (13294)Termination phase: Saturation
% 29.92/5.63
% 29.92/5.63 % (13294)Memory used [KB]: 6268
% 29.92/5.63 % (13294)Time elapsed: 0.223 s
% 29.92/5.63 % (13294)Instructions burned: 435 (million)
% 29.92/5.63 % (13294)------------------------------
% 29.92/5.63 % (13294)------------------------------
% 29.92/5.65 % (13297)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_13069 for (2957ds/443Mi)
% 29.92/5.68 % (13293)Instruction limit reached!
% 29.92/5.68 % (13293)------------------------------
% 29.92/5.68 % (13293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.92/5.68 % (13293)Termination reason: Unknown
% 29.92/5.68 % (13293)Termination phase: Saturation
% 29.92/5.68
% 29.92/5.68 % (13293)Memory used [KB]: 8827
% 29.92/5.68 % (13293)Time elapsed: 0.512 s
% 29.92/5.68 % (13293)Instructions burned: 906 (million)
% 29.92/5.68 % (13293)------------------------------
% 29.92/5.68 % (13293)------------------------------
% 29.92/5.69 % (13298)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_13069 for (2956ds/594Mi)
% 30.90/5.78 % (13296)First to succeed.
% 30.90/5.79 % (13296)Refutation found. Thanks to Tanya!
% 30.90/5.79 % SZS status Theorem for DTF2THF_13069
% 30.90/5.79 % SZS output start Proof for DTF2THF_13069
% 30.90/5.79 thf(type_def_5, type, a: $tType).
% 30.90/5.79 thf(func_def_0, type, a: $tType).
% 30.90/5.79 thf(func_def_16, type, sK1: a > a > $o).
% 30.90/5.79 thf(func_def_17, type, sK2: (a > $o) > a).
% 30.90/5.79 thf(func_def_18, type, sK3: a > a).
% 30.90/5.79 thf(func_def_19, type, sK4: (a > $o) > a > a).
% 30.90/5.79 thf(func_def_20, type, ph5: !>[X0: $tType]:(X0)).
% 30.90/5.79 thf(f1119,plain,(
% 30.90/5.79 $false),
% 30.90/5.79 inference(avatar_sat_refutation,[status(thm)],[f556,f566,f1114])).
% 30.90/5.79 thf(f1114,plain,(
% 30.90/5.79 ~spl0_1),
% 30.90/5.79 inference(avatar_contradiction_clause,[status(thm)],[f1113])).
% 30.90/5.79 thf(f1113,plain,(
% 30.90/5.79 $false | ~spl0_1),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f1093])).
% 30.90/5.79 thf(f1093,plain,(
% 30.90/5.79 ($false = $true) | ~spl0_1),
% 30.90/5.79 inference(backward_demodulation,[status(thm)],[f574,f1090])).
% 30.90/5.79 thf(f1090,plain,(
% 30.90/5.79 ($false = (sK1 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) @ (sK3 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))))) | ~spl0_1),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f1089])).
% 30.90/5.79 thf(f1089,plain,(
% 30.90/5.79 (((^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) = $false) | ~spl0_1),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f1083])).
% 30.90/5.79 thf(f1083,plain,(
% 30.90/5.79 (((^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) = $false) | ($false = $true) | ~spl0_1),
% 30.90/5.79 inference(superposition,[status(thm)],[f1078,f37])).
% 30.90/5.79 thf(f37,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : (((sK1 @ X2 @ (sK2 @ X1)) = $true) | ($false = (X1 @ X2))) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f36])).
% 30.90/5.79 thf(f36,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : (($true = ((X1 @ X2) => (sK1 @ X2 @ (sK2 @ X1))))) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f35])).
% 30.90/5.79 thf(f35,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : (($true = ((^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1)))) @ X2))) )),
% 30.90/5.79 inference(pi_clausification,[status(thm)],[f33])).
% 30.90/5.79 thf(f33,plain,(
% 30.90/5.79 ( ! [X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1))))) = $true)) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f32])).
% 30.90/5.79 thf(f32,plain,(
% 30.90/5.79 ( ! [X1 : a > $o] : (($true = (((!! @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK1 @ Y1 @ Y0)))) => (sK1 @ (sK2 @ X1) @ Y0)))) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1)))))) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1)))))))) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f31])).
% 30.90/5.79 thf(f31,plain,(
% 30.90/5.79 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK1 @ Y2 @ Y1)))) => (sK1 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0))))))) @ X1) = $true)) )),
% 30.90/5.79 inference(pi_clausification,[status(thm)],[f29])).
% 30.90/5.79 thf(f29,plain,(
% 30.90/5.79 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK1 @ Y2 @ Y1)))) => (sK1 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))))) = $true)),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f16])).
% 30.90/5.79 thf(f16,plain,(
% 30.90/5.79 (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y2) & (sK1 @ Y1 @ Y0)) => (sK1 @ Y1 @ Y2)))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK1 @ Y2 @ Y1)))) => (sK1 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0))))))))) = $true)),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 30.90/5.79 thf(f14,plain,(
% 30.90/5.79 ($false = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y2) & (sK1 @ Y1 @ Y0)) => (sK1 @ Y1 @ Y2)))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (sK1 @ Y2 @ Y1)))) => (sK1 @ (sK2 @ Y0) @ Y1)))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0)))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK1 @ Y1 @ (sK2 @ Y0))))))))) => (!! @ (a > a) @ (^[Y0 : a > a]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) => (sK1 @ (Y0 @ Y1) @ (Y0 @ Y2))))))) => (?? @ a @ (^[Y1 : a]: ((sK1 @ (Y0 @ Y1) @ Y1) & (sK1 @ Y1 @ (Y0 @ Y1))))))))))),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f13])).
% 30.90/5.79 thf(f13,plain,(
% 30.90/5.79 (((^[Y0 : (a > $o) > a]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK1 @ Y1 @ Y3) & (sK1 @ Y2 @ Y1)) => (sK1 @ Y2 @ Y3)))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) => (sK1 @ Y3 @ Y2)))) => (sK1 @ (Y0 @ Y1) @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2 @ (Y0 @ Y1)))))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2 @ (Y0 @ Y1))))))))) => (!! @ (a > a) @ (^[Y1 : a > a]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK1 @ (Y1 @ Y2) @ (Y1 @ Y3))))))) => (?? @ a @ (^[Y2 : a]: ((sK1 @ (Y1 @ Y2) @ Y2) & (sK1 @ Y2 @ (Y1 @ Y2)))))))))) @ sK2) = $false)),
% 30.90/5.79 inference(sigma_clausification,[status(thm)],[f12])).
% 30.90/5.79 thf(f12,plain,(
% 30.90/5.79 ((!! @ ((a > $o) > a) @ (^[Y0 : (a > $o) > a]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((sK1 @ Y1 @ Y3) & (sK1 @ Y2 @ Y1)) => (sK1 @ Y2 @ Y3)))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) => (sK1 @ Y3 @ Y2)))) => (sK1 @ (Y0 @ Y1) @ Y2)))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2 @ (Y0 @ Y1)))))) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK1 @ Y2 @ (Y0 @ Y1))))))))) => (!! @ (a > a) @ (^[Y1 : a > a]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK1 @ (Y1 @ Y2) @ (Y1 @ Y3))))))) => (?? @ a @ (^[Y2 : a]: ((sK1 @ (Y1 @ Y2) @ Y2) & (sK1 @ Y2 @ (Y1 @ Y2))))))))))) = $false)),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f11])).
% 30.90/5.79 thf(f11,plain,(
% 30.90/5.79 (((^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y4)))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y0 @ Y4 @ Y3)))) => (Y0 @ (Y1 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) => (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))) @ sK1) = $false)),
% 30.90/5.79 inference(sigma_clausification,[status(thm)],[f10])).
% 30.90/5.79 thf(f10,plain,(
% 30.90/5.79 ((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y4)))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y0 @ Y4 @ Y3)))) => (Y0 @ (Y1 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) => (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3))))))))))))) = $false)),
% 30.90/5.79 inference(not_proxy_clausification,[status(thm)],[f9])).
% 30.90/5.79 thf(f9,plain,(
% 30.90/5.79 ((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y4)))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y0 @ Y4 @ Y3)))) => (Y0 @ (Y1 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) => (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))))) = $true)),
% 30.90/5.79 inference(boolean_simplification,[status(thm)],[f8])).
% 30.90/5.79 thf(f8,plain,(
% 30.90/5.79 ((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y4)))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (Y2 @ Y4)) => (Y0 @ Y4 @ Y3)))) => (Y0 @ (Y1 @ Y2) @ Y3)))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) => (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))))) = $true)),
% 30.90/5.79 inference(boolean_simplification,[status(thm)],[f7])).
% 30.90/5.79 thf(f7,plain,(
% 30.90/5.79 ((~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y4)))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (Y2 @ Y4)) => (Y0 @ Y4 @ Y3)))) => ((Y0 @ (Y1 @ Y2) @ Y3) & (Y0 @ (Y1 @ Y2) @ Y3))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) => (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))))) = $true)),
% 30.90/5.79 inference(boolean_simplification,[status(thm)],[f6])).
% 30.90/5.79 thf(f6,plain,(
% 30.90/5.79 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y4)))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (Y2 @ Y4)) => (Y0 @ Y4 @ Y3)))) => ((Y0 @ (Y1 @ Y2) @ Y3) & (Y0 @ (Y1 @ Y2) @ Y3))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) => (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) => (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))))))),
% 30.90/5.79 inference(cnf_transformation,[status(thm)],[f5])).
% 30.90/5.79 thf(f5,plain,(
% 30.90/5.79 ($true = (~ (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (!! @ ((a > $o) > a) @ (^[Y1 : (a > $o) > a]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y0 @ Y2 @ Y4) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y3 @ Y4)))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: (((Y2 @ Y4) & (Y2 @ Y4)) => (Y0 @ Y4 @ Y3)))) => ((Y0 @ (Y1 @ Y2) @ Y3) & (Y0 @ (Y1 @ Y2) @ Y3))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2)))))) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3 @ (Y1 @ Y2))))))))) => (!! @ (a > a) @ (^[Y2 : a > a]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) => (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y0 @ Y3 @ Y4) => (Y0 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))) => (?? @ a @ (^[Y3 : a]: ((Y0 @ (Y2 @ Y3) @ Y3) & (Y0 @ Y3 @ (Y2 @ Y3)))))))))))))))),
% 30.90/5.79 inference(fool_elimination,[status(thm)],[f4])).
% 30.90/5.79 thf(f4,plain,(
% 30.90/5.79 ~! [X0 : (a > $o) > a,X1 : a > a > $o] : ((! [X2 : a > $o] : (! [X3 : a] : ((X2 @ X3) => (X1 @ X3 @ (X0 @ X2))) & ! [X4 : a] : ((X2 @ X4) => (X1 @ X4 @ (X0 @ X2))) & ! [X5 : a] : (! [X6 : a] : (((X2 @ X6) & (X2 @ X6)) => (X1 @ X6 @ X5)) => ((X1 @ (X0 @ X2) @ X5) & (X1 @ (X0 @ X2) @ X5)))) & ! [X7 : a,X8 : a,X9 : a] : (((X1 @ X8 @ X9) & (X1 @ X9 @ X7)) => (X1 @ X8 @ X7))) => ! [X10 : a > a] : ((! [X11 : a,X12 : a] : ((X1 @ X12 @ X11) => (X1 @ (X10 @ X12) @ (X10 @ X11))) & ! [X13 : a,X14 : a] : ((X1 @ X14 @ X13) => (X1 @ (X10 @ X14) @ (X10 @ X13)))) => ? [X15 : a] : ((X1 @ X15 @ (X10 @ X15)) & (X1 @ (X10 @ X15) @ X15))))),
% 30.90/5.79 inference(rectify,[status(thm)],[f2])).
% 30.90/5.79 thf(f2,negated_conjecture,(
% 30.90/5.79 ~! [X1 : (a > $o) > a,X0 : a > a > $o] : ((! [X5 : a > $o] : (! [X4 : a] : ((X5 @ X4) => (X0 @ X4 @ (X1 @ X5))) & ! [X4 : a] : ((X5 @ X4) => (X0 @ X4 @ (X1 @ X5))) & ! [X6 : a] : (! [X7 : a] : (((X5 @ X7) & (X5 @ X7)) => (X0 @ X7 @ X6)) => ((X0 @ (X1 @ X5) @ X6) & (X0 @ (X1 @ X5) @ X6)))) & ! [X4 : a,X2 : a,X3 : a] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X4)) => (X0 @ X2 @ X4))) => ! [X8 : a > a] : ((! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) => (X0 @ (X8 @ X2) @ (X8 @ X3))) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) => (X0 @ (X8 @ X2) @ (X8 @ X3)))) => ? [X9 : a] : ((X0 @ X9 @ (X8 @ X9)) & (X0 @ (X8 @ X9) @ X9))))),
% 30.90/5.79 inference(negated_conjecture,[status(cth)],[f1])).
% 30.90/5.79 thf(f1,conjecture,(
% 30.90/5.79 ! [X1 : (a > $o) > a,X0 : a > a > $o] : ((! [X5 : a > $o] : (! [X4 : a] : ((X5 @ X4) => (X0 @ X4 @ (X1 @ X5))) & ! [X4 : a] : ((X5 @ X4) => (X0 @ X4 @ (X1 @ X5))) & ! [X6 : a] : (! [X7 : a] : (((X5 @ X7) & (X5 @ X7)) => (X0 @ X7 @ X6)) => ((X0 @ (X1 @ X5) @ X6) & (X0 @ (X1 @ X5) @ X6)))) & ! [X4 : a,X2 : a,X3 : a] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X4)) => (X0 @ X2 @ X4))) => ! [X8 : a > a] : ((! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) => (X0 @ (X8 @ X2) @ (X8 @ X3))) & ! [X3 : a,X2 : a] : ((X0 @ X2 @ X3) => (X0 @ (X8 @ X2) @ (X8 @ X3)))) => ? [X9 : a] : ((X0 @ X9 @ (X8 @ X9)) & (X0 @ (X8 @ X9) @ X9))))),
% 30.90/5.79 file('/export/starexec/sandbox/tmp/tmp.6rDJ5lh5h9/DTF2THF_13069.p',cTHM145_A_pme)).
% 30.90/5.79 thf(f1078,plain,(
% 30.90/5.79 ((sK1 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))) = $false) | ~spl0_1),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f1076])).
% 30.90/5.79 thf(f1076,plain,(
% 30.90/5.79 ($false = $true) | ((sK1 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))) = $false) | ~spl0_1),
% 30.90/5.79 inference(superposition,[status(thm)],[f25,f1070])).
% 30.90/5.79 thf(f1070,plain,(
% 30.90/5.79 ((sK1 @ (sK3 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) = $false) | ~spl0_1),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f1069])).
% 30.90/5.79 thf(f1069,plain,(
% 30.90/5.79 ((sK1 @ (sK3 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) = $false) | ($false = $true) | ~spl0_1),
% 30.90/5.79 inference(forward_demodulation,[status(thm)],[f1059,f551])).
% 30.90/5.79 thf(f551,plain,(
% 30.90/5.79 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) | ~spl0_1),
% 30.90/5.79 inference(avatar_component_clause,[status(thm)],[f549])).
% 30.90/5.79 thf(f549,definition,(
% 30.90/5.79 spl0_1 <=> ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))))),
% 30.90/5.79 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 30.90/5.79 thf(f1059,plain,(
% 30.90/5.79 ((sK1 @ (sK3 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) = $false) | ((sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) = $true) | ~spl0_1),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f1032])).
% 30.90/5.79 thf(f1032,plain,(
% 30.90/5.79 ((sK1 @ (sK3 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) = $false) | ((sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) = $true) | ($false = $true) | ~spl0_1),
% 30.90/5.79 inference(superposition,[status(thm)],[f574,f87])).
% 30.90/5.79 thf(f87,plain,(
% 30.90/5.79 ( ! [X2 : a,X0 : a > $o,X1 : a] : (((sK1 @ (sK4 @ X0 @ X1) @ X2) = $false) | ((sK1 @ (sK2 @ X0) @ X1) = $true) | ($false = (sK1 @ X2 @ X1))) )),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f85])).
% 30.90/5.79 thf(f85,plain,(
% 30.90/5.79 ( ! [X2 : a,X0 : a > $o,X1 : a] : (((sK1 @ (sK2 @ X0) @ X1) = $true) | ($false = $true) | ($false = (sK1 @ X2 @ X1)) | ((sK1 @ (sK4 @ X0 @ X1) @ X2) = $false)) )),
% 30.90/5.79 inference(superposition,[status(thm)],[f57,f48])).
% 30.90/5.79 thf(f48,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : (($false = (sK1 @ (sK4 @ X1 @ X2) @ X2)) | ((sK1 @ (sK2 @ X1) @ X2) = $true)) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 30.90/5.79 thf(f47,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : (((sK1 @ (sK2 @ X1) @ X2) = $true) | ($false = ((X1 @ (sK4 @ X1 @ X2)) => (sK1 @ (sK4 @ X1 @ X2) @ X2)))) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f46])).
% 30.90/5.79 thf(f46,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : ((((^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ X2))) @ (sK4 @ X1 @ X2)) = $false) | ((sK1 @ (sK2 @ X1) @ X2) = $true)) )),
% 30.90/5.79 inference(sigma_clausification,[status(thm)],[f45])).
% 30.90/5.79 thf(f45,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : (((sK1 @ (sK2 @ X1) @ X2) = $true) | ((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ X2)))) = $false)) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f44])).
% 30.90/5.79 thf(f44,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : ((((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ X2)))) => (sK1 @ (sK2 @ X1) @ X2)) = $true)) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f43])).
% 30.90/5.79 thf(f43,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : ((((^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK1 @ Y1 @ Y0)))) => (sK1 @ (sK2 @ X1) @ Y0))) @ X2) = $true)) )),
% 30.90/5.79 inference(pi_clausification,[status(thm)],[f39])).
% 30.90/5.79 thf(f39,plain,(
% 30.90/5.79 ( ! [X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK1 @ Y1 @ Y0)))) => (sK1 @ (sK2 @ X1) @ Y0)))) = $true)) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f34])).
% 30.90/5.79 thf(f34,plain,(
% 30.90/5.79 ( ! [X1 : a > $o] : ((((!! @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (sK1 @ Y1 @ Y0)))) => (sK1 @ (sK2 @ X1) @ Y0)))) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK1 @ Y0 @ (sK2 @ X1)))))) = $true)) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f32])).
% 30.90/5.79 thf(f57,plain,(
% 30.90/5.79 ( ! [X2 : a,X3 : a,X1 : a] : (($true = (sK1 @ X2 @ X3)) | ($false = (sK1 @ X1 @ X3)) | ($false = (sK1 @ X2 @ X1))) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f56])).
% 30.90/5.79 thf(f56,plain,(
% 30.90/5.79 ( ! [X2 : a,X3 : a,X1 : a] : (($true = (sK1 @ X2 @ X3)) | ($false = ((sK1 @ X1 @ X3) & (sK1 @ X2 @ X1)))) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f55])).
% 30.90/5.79 thf(f55,plain,(
% 30.90/5.79 ( ! [X2 : a,X3 : a,X1 : a] : (((((sK1 @ X1 @ X3) & (sK1 @ X2 @ X1)) => (sK1 @ X2 @ X3)) = $true)) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f54])).
% 30.90/5.79 thf(f54,plain,(
% 30.90/5.79 ( ! [X2 : a,X3 : a,X1 : a] : (($true = ((^[Y0 : a]: (((sK1 @ X1 @ Y0) & (sK1 @ X2 @ X1)) => (sK1 @ X2 @ Y0))) @ X3))) )),
% 30.90/5.79 inference(pi_clausification,[status(thm)],[f53])).
% 30.90/5.79 thf(f53,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a] : (((!! @ a @ (^[Y0 : a]: (((sK1 @ X1 @ Y0) & (sK1 @ X2 @ X1)) => (sK1 @ X2 @ Y0)))) = $true)) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f52])).
% 30.90/5.79 thf(f52,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK1 @ X1 @ Y1) & (sK1 @ Y0 @ X1)) => (sK1 @ Y0 @ Y1))))) @ X2) = $true)) )),
% 30.90/5.79 inference(pi_clausification,[status(thm)],[f51])).
% 30.90/5.79 thf(f51,plain,(
% 30.90/5.79 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((sK1 @ X1 @ Y1) & (sK1 @ Y0 @ X1)) => (sK1 @ Y0 @ Y1)))))) = $true)) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f50])).
% 30.90/5.79 thf(f50,plain,(
% 30.90/5.79 ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y2) & (sK1 @ Y1 @ Y0)) => (sK1 @ Y1 @ Y2))))))) @ X1) = $true)) )),
% 30.90/5.79 inference(pi_clausification,[status(thm)],[f30])).
% 30.90/5.79 thf(f30,plain,(
% 30.90/5.79 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK1 @ Y0 @ Y2) & (sK1 @ Y1 @ Y0)) => (sK1 @ Y1 @ Y2)))))))) = $true)),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f16])).
% 30.90/5.79 thf(f25,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a] : (((sK1 @ (sK3 @ X1) @ (sK3 @ X2)) = $true) | ($false = (sK1 @ X1 @ X2))) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f24])).
% 30.90/5.79 thf(f24,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a] : (($true = ((sK1 @ X1 @ X2) => (sK1 @ (sK3 @ X1) @ (sK3 @ X2))))) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f23])).
% 30.90/5.79 thf(f23,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((sK1 @ X1 @ Y0) => (sK1 @ (sK3 @ X1) @ (sK3 @ Y0)))) @ X2))) )),
% 30.90/5.79 inference(pi_clausification,[status(thm)],[f22])).
% 30.90/5.79 thf(f22,plain,(
% 30.90/5.79 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((sK1 @ X1 @ Y0) => (sK1 @ (sK3 @ X1) @ (sK3 @ Y0))))))) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f21])).
% 30.90/5.79 thf(f21,plain,(
% 30.90/5.79 ( ! [X1 : a] : ((((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK1 @ (sK3 @ Y0) @ (sK3 @ Y1)))))) @ X1) = $true)) )),
% 30.90/5.79 inference(pi_clausification,[status(thm)],[f20])).
% 30.90/5.79 thf(f20,plain,(
% 30.90/5.79 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK1 @ (sK3 @ Y0) @ (sK3 @ Y1))))))) = $true)),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f18])).
% 30.90/5.79 thf(f18,plain,(
% 30.90/5.79 (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK1 @ (sK3 @ Y0) @ (sK3 @ Y1))))))) => (?? @ a @ (^[Y0 : a]: ((sK1 @ (sK3 @ Y0) @ Y0) & (sK1 @ Y0 @ (sK3 @ Y0)))))) = $false)),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f17])).
% 30.90/5.79 thf(f17,plain,(
% 30.90/5.79 ($false = ((^[Y0 : a > a]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) => (sK1 @ (Y0 @ Y1) @ (Y0 @ Y2))))))) => (?? @ a @ (^[Y1 : a]: ((sK1 @ (Y0 @ Y1) @ Y1) & (sK1 @ Y1 @ (Y0 @ Y1))))))) @ sK3))),
% 30.90/5.79 inference(sigma_clausification,[status(thm)],[f15])).
% 30.90/5.79 thf(f15,plain,(
% 30.90/5.79 ($false = (!! @ (a > a) @ (^[Y0 : a > a]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) => (sK1 @ (Y0 @ Y1) @ (Y0 @ Y2))))))) => (?? @ a @ (^[Y1 : a]: ((sK1 @ (Y0 @ Y1) @ Y1) & (sK1 @ Y1 @ (Y0 @ Y1)))))))))),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 30.90/5.79 thf(f574,plain,(
% 30.90/5.79 ($true = (sK1 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))))) @ (sK3 @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))))) | ~spl0_1),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f573])).
% 30.90/5.79 thf(f573,plain,(
% 30.90/5.79 (((^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) = $true) | ~spl0_1),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f567])).
% 30.90/5.79 thf(f567,plain,(
% 30.90/5.79 (((^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK4 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) = $true) | ($false = $true) | ~spl0_1),
% 30.90/5.79 inference(superposition,[status(thm)],[f551,f49])).
% 30.90/5.79 thf(f49,plain,(
% 30.90/5.79 ( ! [X2 : a,X1 : a > $o] : (((sK1 @ (sK2 @ X1) @ X2) = $true) | ((X1 @ (sK4 @ X1 @ X2)) = $true)) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 30.90/5.79 thf(f566,plain,(
% 30.90/5.79 spl0_1 | ~spl0_2),
% 30.90/5.79 inference(avatar_split_clause,[status(thm)],[f561,f553,f549])).
% 30.90/5.79 thf(f553,definition,(
% 30.90/5.79 spl0_2 <=> ((sK1 @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))) @ (sK3 @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) = $false)),
% 30.90/5.79 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 30.90/5.79 thf(f561,plain,(
% 30.90/5.79 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) | ~spl0_2),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f557])).
% 30.90/5.79 thf(f557,plain,(
% 30.90/5.79 ($false = $true) | ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) | ~spl0_2),
% 30.90/5.79 inference(superposition,[status(thm)],[f555,f25])).
% 30.90/5.79 thf(f555,plain,(
% 30.90/5.79 ((sK1 @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))) @ (sK3 @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) = $false) | ~spl0_2),
% 30.90/5.79 inference(avatar_component_clause,[status(thm)],[f553])).
% 30.90/5.79 thf(f556,plain,(
% 30.90/5.79 spl0_1 | spl0_2),
% 30.90/5.79 inference(avatar_split_clause,[status(thm)],[f533,f553,f549])).
% 30.90/5.79 thf(f533,plain,(
% 30.90/5.79 ($false = (sK1 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0)))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) | ((sK1 @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))) @ (sK3 @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ Y0 @ (sK3 @ Y0))))))) = $false)),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f532])).
% 30.90/5.79 thf(f532,plain,(
% 30.90/5.79 (((^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK3 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK3 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0)))))) = $false) | (((^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK3 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))) @ (sK2 @ (^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK3 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))))) = $false)),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f527])).
% 30.90/5.79 thf(f527,plain,(
% 30.90/5.79 (((^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK3 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))) @ (sK3 @ (sK2 @ (^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK3 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0)))))) = $false) | (((^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK3 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))) @ (sK2 @ (^[Y0 : a]: (sK1 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (sK3 @ ((^[Y2 : a]: (Y2)) @ Y1))) @ Y0))))) = $false) | ($false != $false)),
% 30.90/5.79 inference(equality_factoring,[status(thm)],[f178])).
% 30.90/5.79 thf(f178,plain,(
% 30.90/5.79 ( ! [X0 : a > $o,X1 : a > $o] : (($false = (sK1 @ (sK2 @ X1) @ (sK3 @ (sK2 @ X1)))) | ($false = (X1 @ (sK2 @ X0))) | ((X0 @ (sK3 @ (sK2 @ X1))) = $false)) )),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f169])).
% 30.90/5.79 thf(f169,plain,(
% 30.90/5.79 ( ! [X0 : a > $o,X1 : a > $o] : (((X0 @ (sK3 @ (sK2 @ X1))) = $false) | ($false = $true) | ($false = (sK1 @ (sK2 @ X1) @ (sK3 @ (sK2 @ X1)))) | ($false = (X1 @ (sK2 @ X0)))) )),
% 30.90/5.79 inference(superposition,[status(thm)],[f99,f37])).
% 30.90/5.79 thf(f99,plain,(
% 30.90/5.79 ( ! [X0 : a,X1 : a > $o] : (((sK1 @ (sK2 @ X1) @ X0) = $false) | ((sK1 @ X0 @ (sK3 @ X0)) = $false) | ($false = (X1 @ (sK3 @ X0)))) )),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f91])).
% 30.90/5.79 thf(f91,plain,(
% 30.90/5.79 ( ! [X0 : a,X1 : a > $o] : (((sK1 @ X0 @ (sK3 @ X0)) = $false) | ($false = (X1 @ (sK3 @ X0))) | ($false = $true) | ((sK1 @ (sK2 @ X1) @ X0) = $false)) )),
% 30.90/5.79 inference(superposition,[status(thm)],[f72,f37])).
% 30.90/5.79 thf(f72,plain,(
% 30.90/5.79 ( ! [X0 : a,X1 : a] : (((sK1 @ (sK3 @ X0) @ X1) = $false) | ((sK1 @ X1 @ X0) = $false) | ((sK1 @ X0 @ (sK3 @ X0)) = $false)) )),
% 30.90/5.79 inference(trivial_inequality_removal,[status(thm)],[f68])).
% 30.90/5.79 thf(f68,plain,(
% 30.90/5.79 ( ! [X0 : a,X1 : a] : (((sK1 @ X0 @ (sK3 @ X0)) = $false) | ((sK1 @ X1 @ X0) = $false) | ($false = $true) | ((sK1 @ (sK3 @ X0) @ X1) = $false)) )),
% 30.90/5.79 inference(superposition,[status(thm)],[f57,f28])).
% 30.90/5.79 thf(f28,plain,(
% 30.90/5.79 ( ! [X1 : a] : (((sK1 @ (sK3 @ X1) @ X1) = $false) | ((sK1 @ X1 @ (sK3 @ X1)) = $false)) )),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f27])).
% 30.90/5.79 thf(f27,plain,(
% 30.90/5.79 ( ! [X1 : a] : (($false = ((sK1 @ (sK3 @ X1) @ X1) & (sK1 @ X1 @ (sK3 @ X1))))) )),
% 30.90/5.79 inference(beta_eta_normalization,[status(thm)],[f26])).
% 30.90/5.79 thf(f26,plain,(
% 30.90/5.79 ( ! [X1 : a] : ((((^[Y0 : a]: ((sK1 @ (sK3 @ Y0) @ Y0) & (sK1 @ Y0 @ (sK3 @ Y0)))) @ X1) = $false)) )),
% 30.90/5.79 inference(pi_clausification,[status(thm)],[f19])).
% 30.90/5.79 thf(f19,plain,(
% 30.90/5.79 ((?? @ a @ (^[Y0 : a]: ((sK1 @ (sK3 @ Y0) @ Y0) & (sK1 @ Y0 @ (sK3 @ Y0))))) = $false)),
% 30.90/5.79 inference(binary_proxy_clausification,[status(thm)],[f18])).
% 30.90/5.79 % SZS output end Proof for DTF2THF_13069
% 30.90/5.79 % (13296)------------------------------
% 30.90/5.79 % (13296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.90/5.79 % (13296)Termination reason: Refutation
% 30.90/5.79
% 30.90/5.79 % (13296)Memory used [KB]: 6524
% 30.90/5.79 % (13296)Time elapsed: 0.247 s
% 30.90/5.79 % (13296)Instructions burned: 485 (million)
% 30.90/5.79 % (13296)------------------------------
% 30.90/5.79 % (13296)------------------------------
% 30.90/5.79 % (13166)Success in time 4.444 s
%------------------------------------------------------------------------------