%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV243^5 : 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 : n023.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 09:40:39 AM UTC 2026
% Result : Theorem 22.23s 4.17s
% Output : Refutation 22.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 3
% Syntax : Number of formulae : 161 ( 17 unt; 0 typ; 2 def)
% Number of atoms : 1523 ( 218 equ; 0 cnn)
% Maximal formula atoms : 5 ( 9 avg)
% Number of connectives : 2521 ( 66 ~; 182 |; 104 &;1660 @)
% ( 5 <=>; 240 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 253 ( 253 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 9 con; 0-2 aty)
% ( 181 !!; 83 ??; 0 @@+; 0 @@-)
% Number of variables : 437 ( 339 ^; 92 !; 6 ?; 437 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cK: ( a > $o ) > a > $o ).
thf(func_def_15,type,
sP0: $o > $o ).
thf(func_def_17,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
sK3: a ).
thf(func_def_19,type,
sK4: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_20,type,
sK5: a ).
thf(func_def_21,type,
sK6: a > $o ).
thf(func_def_22,type,
sK7: a ).
thf(func_def_23,type,
sK8: a > $o ).
thf(f5013,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f77,f3152,f5012]) ).
thf(f5012,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[status(thm)],[f5011]) ).
thf(f5011,plain,
( $false
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f5010]) ).
thf(f5010,plain,
( ( $false = $true )
| ~ spl1_2 ),
inference(backward_demodulation,[status(thm)],[f3851,f4946]) ).
thf(f4946,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) ) @ Y0 ) ) )
= $false )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4940]) ).
thf(f4940,plain,
( ( $false
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) ) @ Y0 ) ) ) ) )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f4539,f4677]) ).
thf(f4677,plain,
( ( $true
= ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) )
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4671]) ).
thf(f4671,plain,
( ( $true
= ( $true
=> ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) )
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3850,f4500]) ).
thf(f4500,plain,
( ( $true
= ( cK @ ( cK @ ( cK @ sK8 ) )
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4495]) ).
thf(f4495,plain,
( ( ( $true
=> ( cK @ ( cK @ ( cK @ sK8 ) )
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3555,f4393]) ).
thf(f4393,plain,
( ( $true
= ( cK @ ( cK @ sK8 )
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4383]) ).
thf(f4383,plain,
( ( $true
= ( $true
=> ( cK @ ( cK @ sK8 )
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3391,f4374]) ).
thf(f4374,plain,
( ( $true
= ( cK @ sK8
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4372]) ).
thf(f4372,plain,
( ( $true
= ( $true
=> ( cK @ sK8
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3239,f4370]) ).
thf(f4370,plain,
( ( ( sK8
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f4369]) ).
thf(f4369,plain,
( ( $false = $true )
| ( ( sK8
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ~ spl1_2 ),
inference(forward_demodulation,[status(thm)],[f4349,f3191]) ).
thf(f3191,plain,
( ( $true
= ( sK8 @ sK3 ) )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f3190]) ).
thf(f3190,plain,
( ( ( $true
& ( sK8 @ sK3 ) )
= $true )
| ~ spl1_2 ),
inference(backward_demodulation,[status(thm)],[f3158,f3178]) ).
thf(f3178,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK8 @ Y0 )
=> ( cK @ sK8 @ Y0 ) ) ) )
| ~ spl1_2 ),
inference(binary_proxy_clausification,[status(thm)],[f3158]) ).
thf(f3158,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK8 @ Y0 )
=> ( cK @ sK8 @ Y0 ) ) )
& ( sK8 @ sK3 ) ) )
| ~ spl1_2 ),
inference(beta_eta_normalization,[status(thm)],[f3156]) ).
thf(f3156,plain,
( ( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) )
@ sK8 ) )
| ~ spl1_2 ),
inference(sigma_clausification,[status(thm)],[f3155]) ).
thf(f3155,plain,
( ( $false
!= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) )
| ~ spl1_2 ),
inference(forward_demodulation,[status(thm)],[f51,f76]) ).
thf(f76,plain,
( ( $false
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| ~ spl1_2 ),
inference(avatar_component_clause,[status(thm)],[f74]) ).
thf(f74,definition,
( spl1_2
<=> ( $false
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl1_2])],[avatar_definition]) ).
thf(f51,plain,
( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) )
!= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ),
inference(binary_proxy_clausification,[status(thm)],[f50]) ).
thf(f50,plain,
( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) )
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f48]) ).
thf(f48,plain,
( ( ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f18]) ).
thf(f18,plain,
( ( $false = $true )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f17]) ).
thf(f17,plain,
( ( ( ~ $true ) = $true )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f14]) ).
thf(f14,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
| ( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> $true ) ) ) ),
inference(fool_paramodulation,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) )
=> ! [X3: a] :
( ( cK @ X1 @ X3 )
=> ( cK @ X0 @ X3 ) ) )
=> ! [X4: a] :
( ? [X5: a > $o] :
( ( X5 @ X4 )
& ! [X6: a] :
( ( X5 @ X6 )
=> ( cK @ X5 @ X6 ) ) )
<=> ( cK
@ ^ [X7: a] :
? [X8: a > $o] :
( ! [X9: a] :
( ( X8 @ X9 )
=> ( cK @ X8 @ X9 ) )
& ( X8 @ X7 ) )
@ X4 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X1 @ X2 )
=> ( cK @ X0 @ X2 ) ) )
=> ! [X2: a] :
( ? [X4: a > $o] :
( ( X4 @ X2 )
& ! [X3: a] :
( ( X4 @ X3 )
=> ( cK @ X4 @ X3 ) ) )
<=> ( cK
@ ^ [X3: a] :
? [X4: a > $o] :
( ! [X5: a] :
( ( X4 @ X5 )
=> ( cK @ X4 @ X5 ) )
& ( X4 @ X3 ) )
@ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X1 @ X2 )
=> ( cK @ X0 @ X2 ) ) )
=> ! [X2: a] :
( ? [X4: a > $o] :
( ( X4 @ X2 )
& ! [X3: a] :
( ( X4 @ X3 )
=> ( cK @ X4 @ X3 ) ) )
<=> ( cK
@ ^ [X3: a] :
? [X4: a > $o] :
( ! [X5: a] :
( ( X4 @ X5 )
=> ( cK @ X4 @ X5 ) )
& ( X4 @ X3 ) )
@ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.HOFarZ0MuG/DTF2THF_10851.p',cTHM116_C_pme) ).
thf(f4349,plain,
( ( ( sK8
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ( $false
= ( sK8 @ sK3 ) )
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f4291]) ).
thf(f4291,plain,
( ( $false
= ( sK8 @ sK3 ) )
| ( ( sK8
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3311,f76]) ).
thf(f3311,plain,
( ! [X0: a,X1: a > $o] :
( ( $true
= ( sK8 @ ( sK4 @ sK8 @ X1 ) ) )
| ( ( cK @ X1 @ X0 )
= $true )
| ( ( sK8 @ X0 )
= $false ) )
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f3292]) ).
thf(f3292,plain,
( ! [X0: a,X1: a > $o] :
( ( ( cK @ X1 @ X0 )
= $true )
| ( $true
= ( sK8 @ ( sK4 @ sK8 @ X1 ) ) )
| ( ( sK8 @ X0 )
= $false )
| ( $false = $true ) )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f1045,f3269]) ).
thf(f3269,plain,
( ! [X1: a] :
( ( ( cK @ sK8 @ X1 )
= $true )
| ( $false
= ( sK8 @ X1 ) ) )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f3245]) ).
thf(f3245,plain,
( ! [X1: a] :
( ( $true
= ( $true
=> ( cK @ sK8 @ X1 ) ) )
| ( $false
= ( sK8 @ X1 ) ) )
| ~ spl1_2 ),
inference(fool_paramodulation,[status(thm)],[f3239]) ).
thf(f1045,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $false
= ( cK @ X1 @ X3 ) )
| ( $true
= ( X1 @ ( sK4 @ X1 @ X2 ) ) )
| ( ( cK @ X2 @ X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f107]) ).
thf(f107,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( ( cK @ X2 @ X3 )
= $true )
| ( $false
= ( ( X1 @ ( sK4 @ X1 @ X2 ) )
=> ( X2 @ ( sK4 @ X1 @ X2 ) ) ) )
| ( $false
= ( cK @ X1 @ X3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f86]) ).
thf(f86,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) )
@ ( sK4 @ X1 @ X2 ) )
= $false )
| ( ( cK @ X2 @ X3 )
= $true )
| ( $false
= ( cK @ X1 @ X3 ) ) ),
inference(sigma_clausification,[status(thm)],[f63]) ).
thf(f63,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) ) )
| ( ( cK @ X2 @ X3 )
= $true )
| ( $false
= ( cK @ X1 @ X3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f58]) ).
thf(f58,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( ( cK @ X1 @ X3 )
=> ( cK @ X2 @ X3 ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) ) )
| ( $true
= ( ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
! [X2: a > $o,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) )
= $true )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f43]) ).
thf(f43,plain,
! [X2: a > $o,X1: a > $o] :
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) ) ) ),
inference(fool_paramodulation,[status(thm)],[f41]) ).
thf(f41,plain,
! [X2: a > $o,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f39]) ).
thf(f39,plain,
! [X2: a > $o,X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ X1 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
! [X1: a > $o] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ X1 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f36]) ).
thf(f36,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f27]) ).
thf(f27,plain,
( $false
= ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f26]) ).
thf(f26,plain,
( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> $false ) ),
inference(backward_demodulation,[status(thm)],[f12,f19]) ).
thf(f12,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f3239,plain,
( ! [X1: a] :
( ( ( sK8 @ X1 )
=> ( cK @ sK8 @ X1 ) )
= $true )
| ~ spl1_2 ),
inference(beta_eta_normalization,[status(thm)],[f3231]) ).
thf(f3231,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK8 @ Y0 )
=> ( cK @ sK8 @ Y0 ) )
@ X1 ) )
| ~ spl1_2 ),
inference(pi_clausification,[status(thm)],[f3178]) ).
thf(f3391,plain,
( ! [X1: a] :
( $true
= ( ( cK @ sK8 @ X1 )
=> ( cK @ ( cK @ sK8 ) @ X1 ) ) )
| ~ spl1_2 ),
inference(beta_eta_normalization,[status(thm)],[f3382]) ).
thf(f3382,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( cK @ sK8 @ Y0 )
=> ( cK @ ( cK @ sK8 ) @ Y0 ) )
@ X1 )
= $true )
| ~ spl1_2 ),
inference(pi_clausification,[status(thm)],[f3243]) ).
thf(f3243,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK8 @ Y0 )
=> ( cK @ ( cK @ sK8 ) @ Y0 ) ) ) )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f3235]) ).
thf(f3235,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK8 @ Y0 )
=> ( cK @ ( cK @ sK8 ) @ Y0 ) ) ) ) )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f41,f3178]) ).
thf(f3555,plain,
( ! [X1: a] :
( ( ( cK @ ( cK @ sK8 ) @ X1 )
=> ( cK @ ( cK @ ( cK @ sK8 ) ) @ X1 ) )
= $true )
| ~ spl1_2 ),
inference(beta_eta_normalization,[status(thm)],[f3546]) ).
thf(f3546,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( cK @ ( cK @ sK8 ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ sK8 ) ) @ Y0 ) )
@ X1 )
= $true )
| ~ spl1_2 ),
inference(pi_clausification,[status(thm)],[f3393]) ).
thf(f3393,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK8 ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ sK8 ) ) @ Y0 ) ) ) )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f3387]) ).
thf(f3387,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK8 ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ sK8 ) ) @ Y0 ) ) ) ) )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f41,f3243]) ).
thf(f3850,plain,
( ! [X1: a] :
( ( ( cK @ ( cK @ ( cK @ sK8 ) ) @ X1 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) @ X1 ) )
= $true )
| ~ spl1_2 ),
inference(beta_eta_normalization,[status(thm)],[f3841]) ).
thf(f3841,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK8 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) @ Y0 ) )
@ X1 ) )
| ~ spl1_2 ),
inference(pi_clausification,[status(thm)],[f3559]) ).
thf(f3559,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK8 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) @ Y0 ) ) ) )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f3551]) ).
thf(f3551,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK8 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) @ Y0 ) ) ) ) )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f41,f3393]) ).
thf(f4539,plain,
( ! [X1: a > $o] :
( $false
= ( ( X1
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) ) ) )
| ~ spl1_2 ),
inference(beta_eta_normalization,[status(thm)],[f4536]) ).
thf(f4536,plain,
( ! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( Y0
@ ( sK4 @ sK8
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl1_2 ),
inference(pi_clausification,[status(thm)],[f4248]) ).
thf(f4248,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
@ ( sK4 @ sK8
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f4247]) ).
thf(f4247,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
@ ( sK4 @ sK8
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
| ( $false = $true )
| ~ spl1_2 ),
inference(forward_demodulation,[status(thm)],[f4245,f3191]) ).
thf(f4245,plain,
( ( $false
= ( sK8 @ sK3 ) )
| ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
@ ( sK4 @ sK8
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl1_2 ),
inference(beta_eta_normalization,[status(thm)],[f4244]) ).
thf(f4244,plain,
( ( $false
= ( sK8 @ sK3 ) )
| ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f4164]) ).
thf(f4164,plain,
( ( $false = $true )
| ( $false
= ( sK8 @ sK3 ) )
| ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ ( sK4 @ sK8
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f76,f3303]) ).
thf(f3303,plain,
( ! [X0: a,X1: a > $o] :
( ( $false
= ( X1 @ ( sK4 @ sK8 @ X1 ) ) )
| ( ( cK @ X1 @ X0 )
= $true )
| ( ( sK8 @ X0 )
= $false ) )
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f3283]) ).
thf(f3283,plain,
( ! [X0: a,X1: a > $o] :
( ( ( sK8 @ X0 )
= $false )
| ( ( cK @ X1 @ X0 )
= $true )
| ( $false
= ( X1 @ ( sK4 @ sK8 @ X1 ) ) )
| ( $false = $true ) )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3269,f1044]) ).
thf(f1044,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $false
= ( cK @ X1 @ X3 ) )
| ( $false
= ( X2 @ ( sK4 @ X1 @ X2 ) ) )
| ( ( cK @ X2 @ X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f107]) ).
thf(f3851,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) ) @ Y0 ) ) )
= $true )
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f3846]) ).
thf(f3846,plain,
( ( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK8 ) ) ) ) @ Y0 ) ) ) )
= $true )
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f41,f3559]) ).
thf(f3152,plain,
spl1_1,
inference(avatar_contradiction_clause,[status(thm)],[f3151]) ).
thf(f3151,plain,
( $false
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f3150]) ).
thf(f3150,plain,
( ( $false = $true )
| spl1_1 ),
inference(backward_demodulation,[status(thm)],[f1715,f3089]) ).
thf(f3089,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) ) @ Y0 ) ) ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f3081]) ).
thf(f3081,plain,
( ( $false
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) ) @ Y0 ) ) ) ) )
| spl1_1 ),
inference(superposition,[status(thm)],[f3018,f2907]) ).
thf(f2907,plain,
( ( $true
= ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ sK7 ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f2890]) ).
thf(f2890,plain,
( ( $true
= ( $true
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ sK7 ) ) )
| spl1_1 ),
inference(superposition,[status(thm)],[f1716,f2845]) ).
thf(f2845,plain,
( ( $true
= ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ sK7 ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f2833]) ).
thf(f2833,plain,
( ( $true
= ( $true
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ sK7 ) ) )
| spl1_1 ),
inference(superposition,[status(thm)],[f1018,f2760]) ).
thf(f2760,plain,
( ( $true
= ( cK @ ( cK @ ( cK @ sK6 ) ) @ sK7 ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f2744]) ).
thf(f2744,plain,
( ( $true
= ( $true
=> ( cK @ ( cK @ ( cK @ sK6 ) ) @ sK7 ) ) )
| spl1_1 ),
inference(superposition,[status(thm)],[f861,f2733]) ).
thf(f2733,plain,
( ( $true
= ( cK @ ( cK @ sK6 ) @ sK7 ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f2717]) ).
thf(f2717,plain,
( ( ( $true
=> ( cK @ ( cK @ sK6 ) @ sK7 ) )
= $true )
| spl1_1 ),
inference(superposition,[status(thm)],[f662,f2405]) ).
thf(f2405,plain,
( ( $true
= ( cK @ sK6 @ sK7 ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f2404]) ).
thf(f2404,plain,
( ( $true
= ( $true
=> ( cK @ sK6 @ sK7 ) ) )
| spl1_1 ),
inference(superposition,[status(thm)],[f548,f2173]) ).
thf(f2173,plain,
( ( $true
= ( sK6 @ sK7 ) )
| spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f2087]) ).
thf(f2087,plain,
( ( $false
= ( ( sK6 @ sK7 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK7 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) ) )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f2085]) ).
thf(f2085,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
@ sK7 ) )
| spl1_1 ),
inference(sigma_clausification,[status(thm)],[f1669]) ).
thf(f1669,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1668]) ).
thf(f1668,plain,
( ( $false = $true )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) )
| spl1_1 ),
inference(forward_demodulation,[status(thm)],[f1660,f378]) ).
thf(f378,plain,
( ( $true
= ( sK6 @ sK5 ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f377]) ).
thf(f377,plain,
( ( $true
= ( ( sK6 @ sK5 )
& $true ) )
| spl1_1 ),
inference(backward_demodulation,[status(thm)],[f333,f352]) ).
thf(f352,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) )
= $true )
| spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f333]) ).
thf(f333,plain,
( ( $true
= ( ( sK6 @ sK5 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( cK @ sK6 @ Y0 ) ) ) ) )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f331]) ).
thf(f331,plain,
( ( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK5 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ sK6 ) )
| spl1_1 ),
inference(sigma_clausification,[status(thm)],[f291]) ).
thf(f291,plain,
( ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK5 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
| spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f288]) ).
thf(f288,plain,
( ( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK5 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) )
=> ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK5 ) )
= $false )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f286]) ).
thf(f286,plain,
( ( ( ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) )
@ sK5 )
= $false )
| spl1_1 ),
inference(sigma_clausification,[status(thm)],[f265]) ).
thf(f265,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f264]) ).
thf(f264,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f254]) ).
thf(f254,plain,
( ( $false = $true )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
| spl1_1 ),
inference(superposition,[status(thm)],[f47,f231]) ).
thf(f231,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) )
@ Y0 ) ) ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f222]) ).
thf(f222,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) )
@ Y0 ) ) )
& $true )
= $false )
| spl1_1 ),
inference(superposition,[status(thm)],[f81,f85]) ).
thf(f85,plain,
( ( $true
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f83]) ).
thf(f83,plain,
( ( $true
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| ( $false = $true )
| spl1_1 ),
inference(backward_demodulation,[status(thm)],[f60,f80]) ).
thf(f80,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f79]) ).
thf(f79,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) )
| ( $true != $true )
| spl1_1 ),
inference(fool_paramodulation,[status(thm)],[f72]) ).
thf(f72,plain,
( ( $true
!= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) )
| spl1_1 ),
inference(avatar_component_clause,[status(thm)],[f70]) ).
thf(f70,definition,
( spl1_1
<=> ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition]) ).
thf(f60,plain,
( ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) )
| ( $true
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f51]) ).
thf(f81,plain,
( ! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) )
& ( X1 @ sK3 ) )
= $false )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f78]) ).
thf(f78,plain,
( ! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) )
@ X1 ) )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f72]) ).
thf(f1660,plain,
( ( $false
= ( sK6 @ sK5 ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f1659]) ).
thf(f1659,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
| ( $false
= ( sK6 @ sK5 ) )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1645]) ).
thf(f1645,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
| ( $false
= ( sK6 @ sK5 ) )
| ( $false = $true )
| spl1_1 ),
inference(superposition,[status(thm)],[f615,f290]) ).
thf(f290,plain,
( ( $false
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK5 ) )
| spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f288]) ).
thf(f615,plain,
( ! [X0: a,X1: a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( cK @ X1 @ X0 )
= $true )
| ( $false
= ( sK6 @ X0 ) ) )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f601]) ).
thf(f601,plain,
( ! [X0: a,X1: a > $o] :
( ( ( cK @ X1 @ X0 )
= $true )
| ( $false = $true )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( $false
= ( sK6 @ X0 ) ) )
| spl1_1 ),
inference(superposition,[status(thm)],[f596,f63]) ).
thf(f596,plain,
( ! [X1: a] :
( ( $true
= ( cK @ sK6 @ X1 ) )
| ( $false
= ( sK6 @ X1 ) ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f583]) ).
thf(f583,plain,
( ! [X1: a] :
( ( ( $true
=> ( cK @ sK6 @ X1 ) )
= $true )
| ( $false
= ( sK6 @ X1 ) ) )
| spl1_1 ),
inference(fool_paramodulation,[status(thm)],[f548]) ).
thf(f548,plain,
( ! [X1: a] :
( $true
= ( ( sK6 @ X1 )
=> ( cK @ sK6 @ X1 ) ) )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f522]) ).
thf(f522,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK6 @ Y0 )
=> ( cK @ sK6 @ Y0 ) )
@ X1 ) )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f352]) ).
thf(f662,plain,
( ! [X1: a] :
( $true
= ( ( cK @ sK6 @ X1 )
=> ( cK @ ( cK @ sK6 ) @ X1 ) ) )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f628]) ).
thf(f628,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( cK @ sK6 @ Y0 )
=> ( cK @ ( cK @ sK6 ) @ Y0 ) )
@ X1 )
= $true )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f553]) ).
thf(f553,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK6 @ Y0 )
=> ( cK @ ( cK @ sK6 ) @ Y0 ) ) ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f530]) ).
thf(f530,plain,
( ( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK6 @ Y0 )
=> ( cK @ ( cK @ sK6 ) @ Y0 ) ) ) )
= $true )
| spl1_1 ),
inference(superposition,[status(thm)],[f41,f352]) ).
thf(f861,plain,
( ! [X1: a] :
( ( ( cK @ ( cK @ sK6 ) @ X1 )
=> ( cK @ ( cK @ ( cK @ sK6 ) ) @ X1 ) )
= $true )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f823]) ).
thf(f823,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 ) )
@ X1 ) )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f649]) ).
thf(f649,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 ) ) ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f637]) ).
thf(f637,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ sK6 ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 ) ) ) ) )
| spl1_1 ),
inference(superposition,[status(thm)],[f41,f553]) ).
thf(f1018,plain,
( ! [X1: a] :
( $true
= ( ( cK @ ( cK @ ( cK @ sK6 ) ) @ X1 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ X1 ) ) )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f985]) ).
thf(f985,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 ) )
@ X1 ) )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f854]) ).
thf(f854,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 ) ) ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f832]) ).
thf(f832,plain,
( ( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ sK6 ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 ) ) ) )
= $true )
| spl1_1 ),
inference(superposition,[status(thm)],[f41,f649]) ).
thf(f1716,plain,
( ! [X1: a] :
( ( ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ X1 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ X1 ) )
= $true )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f1679]) ).
thf(f1679,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ Y0 ) )
@ X1 )
= $true )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f1013]) ).
thf(f1013,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ Y0 ) ) ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f994]) ).
thf(f994,plain,
( ( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ Y0 ) ) ) )
= $true )
| spl1_1 ),
inference(superposition,[status(thm)],[f41,f854]) ).
thf(f3018,plain,
( ! [X1: a > $o] :
( $false
= ( ( X1 @ sK7 )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) ) ) )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f3015]) ).
thf(f3015,plain,
( ! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK7 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ X1 ) )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f2180]) ).
thf(f2180,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK7 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f2179]) ).
thf(f2179,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK7 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
| ( $false = $true )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f2175]) ).
thf(f2175,plain,
( ( $false
= ( ( sK6 @ sK7 )
=> $true ) )
| ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK7 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
| spl1_1 ),
inference(fool_paramodulation,[status(thm)],[f2087]) ).
thf(f1715,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) ) @ Y0 ) ) ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f1688]) ).
thf(f1688,plain,
( ( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) @ Y0 )
=> ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ ( cK @ sK6 ) ) ) ) ) @ Y0 ) ) ) )
= $true )
| spl1_1 ),
inference(superposition,[status(thm)],[f41,f1013]) ).
thf(f77,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[status(thm)],[f62,f74,f70]) ).
thf(f62,plain,
( ( $true
!= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) )
| ( $false
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) ),
inference(fool_paramodulation,[status(thm)],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV243^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.31 % Computer : n023.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Feb 24 12:43:19 EST 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.31 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.42 ---- Original DTF file ---
% 0.16/0.42 thf(spec,logic,$$dhol).
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 % File : SEV243^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.42 % Domain : Set Theory (Sets of sets)
% 0.16/0.42 % Problem : TPS problem from SETS-OF-SETS-THMS
% 0.16/0.42 % Version : Especial.
% 0.16/0.42 % English :
% 0.16/0.42
% 0.16/0.42 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.42 % Source : [Bro09]
% 0.16/0.42 % Names : tps_0956 [Bro09]
% 0.16/0.42
% 0.16/0.42 % Status : Theorem
% 0.16/0.42 % Rating : 0.25 v9.0.0, 0.50 v8.2.0, 0.45 v8.1.0, 0.67 v7.5.0, 0.58 v7.4.0, 0.56 v7.3.0, 0.60 v7.2.0, 0.62 v7.1.0, 0.57 v7.0.0, 0.50 v6.4.0, 0.57 v6.3.0, 0.67 v6.0.0, 0.50 v5.5.0, 0.40 v5.4.0, 0.75 v5.2.0, 1.00 v4.0.0
% 0.16/0.42 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.16/0.42 % Number of atoms : 5 ( 0 equ; 0 cnn)
% 0.16/0.42 % Maximal formula atoms : 5 ( 5 avg)
% 0.16/0.42 % Number of connectives : 25 ( 0 ~; 0 |; 2 &; 16 @)
% 0.16/0.42 % ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% 0.16/0.42 % Maximal formula depth : 13 ( 13 avg)
% 0.16/0.42 % Number of types : 2 ( 1 usr)
% 0.16/0.42 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.16/0.42 % Number of symbols : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.16/0.42 % Number of variables : 10 ( 1 ^; 7 !; 2 ?; 10 :)
% 0.16/0.42 % SPC : TH0_THM_NEQ_NAR
% 0.16/0.42
% 0.16/0.42 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.42 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.42 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.42 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 thf(a_type,type,
% 0.16/0.42 a: $tType ).
% 0.16/0.42
% 0.16/0.42 thf(cK,type,
% 0.16/0.42 cK: ( a > $o ) > a > $o ).
% 0.16/0.42
% 0.16/0.42 thf(cTHM116_C_pme,conjecture,
% 0.16/0.42 ( ! [Y: a > $o,X: a > $o] :
% 0.16/0.42 ( ! [Xx: a] :
% 0.16/0.42 ( ( X @ Xx )
% 0.16/0.42 => ( Y @ Xx ) )
% 0.16/0.42 => ! [Xx: a] :
% 0.16/0.42 ( ( cK @ X @ Xx )
% 0.16/0.42 => ( cK @ Y @ Xx ) ) )
% 0.16/0.42 => ! [Xx: a] :
% 0.16/0.42 ( ( cK
% 0.16/0.42 @ ^ [Xx0: a] :
% 0.16/0.42 ? [S: a > $o] :
% 0.16/0.42 ( ! [Xx1: a] :
% 0.16/0.42 ( ( S @ Xx1 )
% 0.16/0.42 => ( cK @ S @ Xx1 ) )
% 0.16/0.42 & ( S @ Xx0 ) )
% 0.16/0.42 @ Xx )
% 0.16/0.42 <=> ? [S: a > $o] :
% 0.16/0.42 ( ! [Xx0: a] :
% 0.16/0.42 ( ( S @ Xx0 )
% 0.16/0.42 => ( cK @ S @ Xx0 ) )
% 0.16/0.42 & ( S @ Xx ) ) ) ) ).
% 0.16/0.42
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 ------------------------
% 1.11/1.10 ---- Embedded in THF ---
% 1.11/1.10 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.11/1.10 %%% Generated on Tue Feb 24 12:43:20 EST 2026
% 1.11/1.10 %%% using '$$dhol' embedding, version 1.3.0.
% 1.11/1.10 %%% Logic specification used:
% 1.11/1.10 %%% thf(spec, logic, $$dhol).
% 1.11/1.10
% 1.11/1.10 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.HOFarZ0MuG/DTF2DTF10851.p
% See solution above
% 1.11/1.10 ------------------------
% 1.11/1.11 ---- Cleaned THF ---
% 1.31/1.11 thf(a_type,type,
% 1.31/1.11 a: $tType ).
% 1.31/1.11
% 1.31/1.11 thf(cK,type,
% 1.31/1.11 cK: ( a > $o ) > a > $o ).
% 1.31/1.11
% 1.31/1.11 thf(cTHM116_C_pme,conjecture,
% 1.31/1.11 ( ! [Y: a > $o,X: a > $o] :
% 1.31/1.11 ( ! [Xx: a] :
% 1.31/1.11 ( ( X @ Xx )
% 1.31/1.11 => ( Y @ Xx ) )
% 1.31/1.11 => ! [Xx: a] :
% 1.31/1.11 ( ( cK @ X @ Xx )
% 1.31/1.11 => ( cK @ Y @ Xx ) ) )
% 1.31/1.11 => ! [Xx: a] :
% 1.31/1.11 ( ( cK
% 1.31/1.11 @ ^ [Xx0: a] :
% 1.31/1.11 ? [S: a > $o] :
% 1.31/1.11 ( ! [Xx1: a] :
% 1.31/1.11 ( ( S @ Xx1 )
% 1.31/1.11 => ( cK @ S @ Xx1 ) )
% 1.31/1.11 & ( S @ Xx0 ) )
% 1.31/1.11 @ Xx )
% 1.31/1.11 <=> ? [S: a > $o] :
% 1.31/1.11 ( ! [Xx0: a] :
% 1.31/1.11 ( ( S @ Xx0 )
% 1.31/1.11 => ( cK @ S @ Xx0 ) )
% 1.31/1.11 & ( S @ Xx ) ) ) ) ).
% 1.31/1.11 ------------------------
% 1.31/1.13 % (10951)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_10851 for (3000ds/183Mi)
% 1.31/1.13 % (10957)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_10851 for (3000ds/18Mi)
% 1.31/1.13 % (10955)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_10851 for (3000ds/2Mi)
% 1.31/1.13 % (10953)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_10851 for (3000ds/27Mi)
% 1.31/1.13 % (10952)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_10851 for (3000ds/4Mi)
% 1.31/1.13 % (10954)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_10851 for (3000ds/2Mi)
% 1.31/1.13 % (10956)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_10851 for (3000ds/275Mi)
% 1.31/1.13 % (10955)Instruction limit reached!
% 1.31/1.13 % (10955)------------------------------
% 1.31/1.13 % (10955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.13 % (10955)Termination reason: Unknown
% 1.31/1.13 % (10955)Termination phase: Property scanning
% 1.31/1.13
% 1.31/1.13 % (10955)Memory used [KB]: 895
% 1.31/1.13 % (10955)Time elapsed: 0.002 s
% 1.31/1.13 % (10955)Instructions burned: 2 (million)
% 1.31/1.13 % (10955)------------------------------
% 1.31/1.13 % (10955)------------------------------
% 1.31/1.13 % (10954)Instruction limit reached!
% 1.31/1.13 % (10954)------------------------------
% 1.31/1.13 % (10954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.13 % (10954)Termination reason: Unknown
% 1.31/1.13 % (10954)Termination phase: Saturation
% 1.31/1.13
% 1.31/1.13 % (10954)Memory used [KB]: 5500
% 1.31/1.13 % (10954)Time elapsed: 0.003 s
% 1.31/1.13 % (10954)Instructions burned: 3 (million)
% 1.31/1.13 % (10954)------------------------------
% 1.31/1.13 % (10954)------------------------------
% 1.31/1.13 % (10952)Instruction limit reached!
% 1.31/1.13 % (10952)------------------------------
% 1.31/1.13 % (10952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.13 % (10952)Termination reason: Unknown
% 1.31/1.13 % (10952)Termination phase: Saturation
% 1.31/1.13
% 1.31/1.13 % (10952)Memory used [KB]: 5500
% 1.31/1.13 % (10952)Time elapsed: 0.004 s
% 1.31/1.13 % (10952)Instructions burned: 4 (million)
% 1.31/1.13 % (10952)------------------------------
% 1.31/1.13 % (10952)------------------------------
% 1.31/1.14 % (10957)Instruction limit reached!
% 1.31/1.14 % (10957)------------------------------
% 1.31/1.14 % (10957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.14 % (10957)Termination reason: Unknown
% 1.31/1.14 % (10957)Termination phase: Saturation
% 1.31/1.14
% 1.31/1.14 % (10957)Memory used [KB]: 5628
% 1.31/1.14 % (10957)Time elapsed: 0.011 s
% 1.31/1.14 % (10957)Instructions burned: 19 (million)
% 1.31/1.14 % (10957)------------------------------
% 1.31/1.14 % (10957)------------------------------
% 1.31/1.15 % (10953)Instruction limit reached!
% 1.31/1.15 % (10953)------------------------------
% 1.31/1.15 % (10953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.15 % (10953)Termination reason: Unknown
% 1.31/1.15 % (10953)Termination phase: Saturation
% 1.31/1.15
% 1.31/1.15 % (10953)Memory used [KB]: 5628
% 1.31/1.15 % (10953)Time elapsed: 0.016 s
% 1.31/1.15 % (10953)Instructions burned: 28 (million)
% 1.31/1.15 % (10953)------------------------------
% 1.31/1.15 % (10953)------------------------------
% 1.31/1.15 % (10958)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/3Mi)
% 1.31/1.15 % (10960)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_10851 for (2999ds/15Mi)
% 1.31/1.15 % (10958)Instruction limit reached!
% 1.31/1.15 % (10958)------------------------------
% 1.31/1.15 % (10958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.15 % (10958)Termination reason: Unknown
% 1.31/1.15 % (10958)Termination phase: Saturation
% 1.31/1.15
% 1.31/1.15 % (10958)Memory used [KB]: 5500
% 1.31/1.15 % (10958)Time elapsed: 0.003 s
% 1.31/1.15 % (10958)Instructions burned: 3 (million)
% 1.31/1.15 % (10958)------------------------------
% 1.31/1.15 % (10958)------------------------------
% 1.31/1.15 % (10959)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_10851 for (2999ds/37Mi)
% 1.31/1.16 % (10960)Instruction limit reached!
% 1.31/1.16 % (10960)------------------------------
% 1.31/1.16 % (10960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.16 % (10960)Termination reason: Unknown
% 1.31/1.16 % (10960)Termination phase: Saturation
% 1.31/1.16
% 1.31/1.16 % (10960)Memory used [KB]: 5628
% 1.31/1.16 % (10960)Time elapsed: 0.009 s
% 1.31/1.16 % (10960)Instructions burned: 15 (million)
% 1.31/1.16 % (10960)------------------------------
% 1.31/1.16 % (10960)------------------------------
% 1.31/1.16 % (10961)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_10851 for (2999ds/3Mi)
% 1.31/1.16 % (10961)Instruction limit reached!
% 1.31/1.16 % (10961)------------------------------
% 1.31/1.16 % (10961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.16 % (10961)Termination reason: Unknown
% 1.31/1.16 % (10961)Termination phase: Saturation
% 1.31/1.16
% 1.31/1.16 % (10961)Memory used [KB]: 5500
% 1.31/1.16 % (10961)Time elapsed: 0.004 s
% 1.31/1.16 % (10961)Instructions burned: 4 (million)
% 1.31/1.16 % (10961)------------------------------
% 1.31/1.16 % (10961)------------------------------
% 1.31/1.16 % (10962)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_10851 for (2999ds/1041Mi)
% 1.31/1.17 % (10963)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/7Mi)
% 1.31/1.17 % (10963)Instruction limit reached!
% 1.31/1.17 % (10963)------------------------------
% 1.31/1.17 % (10963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.17 % (10963)Termination reason: Unknown
% 1.31/1.17 % (10963)Termination phase: Saturation
% 1.31/1.17
% 1.31/1.17 % (10963)Memory used [KB]: 1023
% 1.31/1.17 % (10963)Time elapsed: 0.005 s
% 1.31/1.17 % (10963)Instructions burned: 7 (million)
% 1.31/1.17 % (10963)------------------------------
% 1.31/1.17 % (10963)------------------------------
% 1.31/1.17 % (10959)Instruction limit reached!
% 1.31/1.17 % (10959)------------------------------
% 1.31/1.17 % (10959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.17 % (10959)Termination reason: Unknown
% 1.31/1.17 % (10959)Termination phase: Saturation
% 1.31/1.17
% 1.31/1.17 % (10959)Memory used [KB]: 6140
% 1.31/1.17 % (10959)Time elapsed: 0.019 s
% 1.31/1.17 % (10959)Instructions burned: 38 (million)
% 1.31/1.17 % (10959)------------------------------
% 1.31/1.17 % (10959)------------------------------
% 1.31/1.17 % (10964)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/16Mi)
% 1.31/1.17 % (10965)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_10851 for (2999ds/3Mi)
% 1.31/1.18 % (10965)Instruction limit reached!
% 1.31/1.18 % (10965)------------------------------
% 1.31/1.18 % (10965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.18 % (10965)Termination reason: Unknown
% 1.31/1.18 % (10965)Termination phase: Property scanning
% 1.31/1.18
% 1.31/1.18 % (10965)Memory used [KB]: 1023
% 1.31/1.18 % (10965)Time elapsed: 0.003 s
% 1.31/1.18 % (10965)Instructions burned: 4 (million)
% 1.31/1.18 % (10965)------------------------------
% 1.31/1.18 % (10965)------------------------------
% 1.31/1.18 % (10964)Instruction limit reached!
% 1.31/1.18 % (10964)------------------------------
% 1.31/1.18 % (10964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.18 % (10964)Termination reason: Unknown
% 1.31/1.18 % (10964)Termination phase: Saturation
% 1.31/1.18
% 1.31/1.18 % (10964)Memory used [KB]: 5756
% 1.31/1.18 % (10964)Time elapsed: 0.010 s
% 1.31/1.18 % (10964)Instructions burned: 16 (million)
% 1.31/1.18 % (10964)------------------------------
% 1.31/1.18 % (10964)------------------------------
% 1.31/1.18 % (10966)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_10851 for (2999ds/3Mi)
% 1.31/1.19 % (10967)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/7Mi)
% 1.31/1.19 % (10966)Instruction limit reached!
% 1.31/1.19 % (10966)------------------------------
% 1.31/1.19 % (10966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.19 % (10966)Termination reason: Unknown
% 1.31/1.19 % (10966)Termination phase: Saturation
% 1.31/1.19
% 1.31/1.19 % (10966)Memory used [KB]: 1023
% 1.31/1.19 % (10966)Time elapsed: 0.003 s
% 1.31/1.19 % (10966)Instructions burned: 4 (million)
% 1.31/1.19 % (10966)------------------------------
% 1.31/1.19 % (10966)------------------------------
% 1.31/1.19 % (10951)Instruction limit reached!
% 1.31/1.19 % (10951)------------------------------
% 1.31/1.19 % (10951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.19 % (10951)Termination reason: Unknown
% 1.31/1.19 % (10951)Termination phase: Saturation
% 1.31/1.19
% 1.31/1.19 % (10951)Memory used [KB]: 6652
% 1.31/1.19 % (10951)Time elapsed: 0.063 s
% 1.31/1.19 % (10951)Instructions burned: 183 (million)
% 1.31/1.19 % (10951)------------------------------
% 1.31/1.19 % (10951)------------------------------
% 1.31/1.19 % (10967)Refutation not found, incomplete strategy
% 1.31/1.19 % (10967)------------------------------
% 1.31/1.19 % (10967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.19 % (10967)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.19
% 1.31/1.19
% 1.31/1.19 % (10967)Memory used [KB]: 5500
% 1.31/1.19 % (10967)Time elapsed: 0.004 s
% 1.31/1.19 % (10967)Instructions burned: 4 (million)
% 1.31/1.19 % (10967)------------------------------
% 1.31/1.19 % (10967)------------------------------
% 1.31/1.19 % (10968)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/3Mi)
% 1.31/1.19 % (10968)Instruction limit reached!
% 1.31/1.19 % (10968)------------------------------
% 1.31/1.19 % (10968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.19 % (10968)Termination reason: Unknown
% 1.31/1.19 % (10968)Termination phase: Saturation
% 1.31/1.19
% 1.31/1.19 % (10968)Memory used [KB]: 5500
% 1.31/1.19 % (10968)Time elapsed: 0.003 s
% 1.31/1.19 % (10968)Instructions burned: 4 (million)
% 1.31/1.19 % (10968)------------------------------
% 1.31/1.19 % (10968)------------------------------
% 1.31/1.20 % (10969)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/4Mi)
% 1.31/1.20 % (10971)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/710Mi)
% 1.31/1.20 % (10969)Instruction limit reached!
% 1.31/1.20 % (10969)------------------------------
% 1.31/1.20 % (10969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.20 % (10969)Termination reason: Unknown
% 1.31/1.20 % (10969)Termination phase: Saturation
% 1.31/1.20
% 1.31/1.20 % (10969)Memory used [KB]: 5500
% 1.31/1.20 % (10969)Time elapsed: 0.004 s
% 1.31/1.20 % (10969)Instructions burned: 5 (million)
% 1.31/1.20 % (10969)------------------------------
% 1.31/1.20 % (10969)------------------------------
% 1.31/1.20 % (10970)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/18Mi)
% 1.31/1.20 % (10972)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/6Mi)
% 1.31/1.21 % (10972)Instruction limit reached!
% 1.31/1.21 % (10972)------------------------------
% 1.31/1.21 % (10972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.21 % (10972)Termination reason: Unknown
% 1.31/1.21 % (10972)Termination phase: Saturation
% 1.31/1.21
% 1.31/1.21 % (10972)Memory used [KB]: 5500
% 1.31/1.21 % (10972)Time elapsed: 0.005 s
% 1.31/1.21 % (10972)Instructions burned: 7 (million)
% 1.31/1.21 % (10972)------------------------------
% 1.31/1.21 % (10972)------------------------------
% 1.31/1.21 % (10973)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_10851 for (2999ds/902Mi)
% 1.31/1.21 % (10970)Instruction limit reached!
% 1.31/1.21 % (10970)------------------------------
% 1.31/1.21 % (10970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.21 % (10970)Termination reason: Unknown
% 1.31/1.21 % (10970)Termination phase: Saturation
% 1.31/1.21
% 1.31/1.21 % (10970)Memory used [KB]: 5628
% 1.31/1.21 % (10970)Time elapsed: 0.011 s
% 1.31/1.21 % (10970)Instructions burned: 18 (million)
% 1.31/1.21 % (10970)------------------------------
% 1.31/1.21 % (10970)------------------------------
% 1.31/1.22 % (10975)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_10851 for (2999ds/5Mi)
% 1.31/1.22 % (10974)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_10851 for (2999ds/21Mi)
% 1.31/1.23 % (10975)Instruction limit reached!
% 1.31/1.23 % (10975)------------------------------
% 1.31/1.23 % (10975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.23 % (10975)Termination reason: Unknown
% 1.31/1.23 % (10975)Termination phase: Saturation
% 1.31/1.23
% 1.31/1.23 % (10975)Memory used [KB]: 5500
% 1.31/1.23 % (10975)Time elapsed: 0.027 s
% 1.31/1.23 % (10975)Instructions burned: 5 (million)
% 1.31/1.23 % (10975)------------------------------
% 1.31/1.23 % (10975)------------------------------
% 1.31/1.23 % (10976)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_10851 for (2999ds/6Mi)
% 1.31/1.23 % (10976)Instruction limit reached!
% 1.31/1.23 % (10976)------------------------------
% 1.31/1.23 % (10976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.23 % (10976)Termination reason: Unknown
% 1.31/1.23 % (10976)Termination phase: Saturation
% 1.31/1.23
% 1.31/1.23 % (10976)Memory used [KB]: 5500
% 1.31/1.23 % (10976)Time elapsed: 0.004 s
% 1.31/1.23 % (10976)Instructions burned: 6 (million)
% 1.31/1.23 % (10976)------------------------------
% 1.31/1.23 % (10976)------------------------------
% 1.31/1.24 % (10974)Instruction limit reached!
% 1.31/1.24 % (10974)------------------------------
% 1.31/1.24 % (10974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.24 % (10974)Termination reason: Unknown
% 1.31/1.24 % (10974)Termination phase: Saturation
% 1.31/1.24
% 1.31/1.24 % (10974)Memory used [KB]: 5628
% 1.31/1.24 % (10974)Time elapsed: 0.040 s
% 1.31/1.24 % (10974)Instructions burned: 22 (million)
% 1.31/1.24 % (10974)------------------------------
% 1.31/1.24 % (10974)------------------------------
% 1.31/1.24 % (10977)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_10851 for (2998ds/377Mi)
% 1.31/1.25 % (10978)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_10851 for (2998ds/779Mi)
% 1.31/1.26 % (10979)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_10851 for (2998ds/19Mi)
% 1.31/1.26 % (10956)Instruction limit reached!
% 1.31/1.26 % (10956)------------------------------
% 1.31/1.26 % (10956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.26 % (10956)Termination reason: Unknown
% 1.31/1.26 % (10956)Termination phase: Saturation
% 1.31/1.26
% 1.31/1.26 % (10956)Memory used [KB]: 6140
% 1.31/1.26 % (10956)Time elapsed: 0.132 s
% 1.31/1.26 % (10956)Instructions burned: 275 (million)
% 1.31/1.26 % (10956)------------------------------
% 1.31/1.26 % (10956)------------------------------
% 1.31/1.27 % (10979)Instruction limit reached!
% 1.31/1.27 % (10979)------------------------------
% 1.31/1.27 % (10979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.27 % (10979)Termination reason: Unknown
% 1.31/1.27 % (10979)Termination phase: Saturation
% 1.31/1.27
% 1.31/1.27 % (10979)Memory used [KB]: 5628
% 1.31/1.27 % (10979)Time elapsed: 0.011 s
% 1.31/1.27 % (10979)Instructions burned: 19 (million)
% 1.31/1.27 % (10979)------------------------------
% 1.31/1.27 % (10979)------------------------------
% 1.31/1.28 % (10980)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_10851 for (2998ds/879Mi)
% 1.31/1.28 % (10981)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_10851 for (2998ds/17Mi)
% 1.31/1.29 % (10981)Instruction limit reached!
% 1.31/1.29 % (10981)------------------------------
% 1.31/1.29 % (10981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.29 % (10981)Termination reason: Unknown
% 1.31/1.29 % (10981)Termination phase: Saturation
% 1.31/1.29
% 1.31/1.29 % (10981)Memory used [KB]: 5628
% 1.31/1.29 % (10981)Time elapsed: 0.011 s
% 1.31/1.29 % (10981)Instructions burned: 18 (million)
% 1.31/1.29 % (10981)------------------------------
% 1.31/1.29 % (10981)------------------------------
% 1.31/1.31 % (10982)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_10851 for (2998ds/3Mi)
% 1.31/1.31 % (10982)Instruction limit reached!
% 1.31/1.31 % (10982)------------------------------
% 1.31/1.31 % (10982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.31 % (10982)Termination reason: Unknown
% 1.31/1.31 % (10982)Termination phase: Saturation
% 1.31/1.31
% 1.31/1.31 % (10982)Memory used [KB]: 1023
% 1.31/1.31 % (10982)Time elapsed: 0.003 s
% 1.31/1.31 % (10982)Instructions burned: 4 (million)
% 1.31/1.31 % (10982)------------------------------
% 1.31/1.31 % (10982)------------------------------
% 1.31/1.33 % (10990)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_10851 for (2998ds/30Mi)
% 1.31/1.34 % (10990)Instruction limit reached!
% 1.31/1.34 % (10990)------------------------------
% 1.31/1.34 % (10990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.34 % (10990)Termination reason: Unknown
% 1.31/1.34 % (10990)Termination phase: Saturation
% 1.31/1.34
% 1.31/1.34 % (10990)Memory used [KB]: 5628
% 1.31/1.34 % (10990)Time elapsed: 0.018 s
% 1.31/1.34 % (10990)Instructions burned: 31 (million)
% 1.31/1.34 % (10990)------------------------------
% 1.31/1.34 % (10990)------------------------------
% 1.31/1.35 % (10991)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_10851 for (2997ds/127Mi)
% 1.31/1.39 % (10977)Instruction limit reached!
% 1.31/1.39 % (10977)------------------------------
% 1.31/1.39 % (10977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.39 % (10977)Termination reason: Unknown
% 1.31/1.39 % (10977)Termination phase: Saturation
% 1.31/1.39
% 1.31/1.39 % (10977)Memory used [KB]: 6396
% 1.31/1.39 % (10977)Time elapsed: 0.151 s
% 1.31/1.39 % (10977)Instructions burned: 379 (million)
% 1.31/1.39 % (10977)------------------------------
% 1.31/1.39 % (10977)------------------------------
% 1.31/1.39 % (10991)Instruction limit reached!
% 1.31/1.39 % (10991)------------------------------
% 1.31/1.39 % (10991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.39 % (10991)Termination reason: Unknown
% 1.31/1.39 % (10991)Termination phase: Saturation
% 1.31/1.39
% 1.31/1.39 % (10991)Memory used [KB]: 6012
% 1.31/1.39 % (10991)Time elapsed: 0.042 s
% 1.31/1.39 % (10991)Instructions burned: 127 (million)
% 1.31/1.39 % (10991)------------------------------
% 1.31/1.39 % (10991)------------------------------
% 1.31/1.40 % (11014)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_10851 for (2997ds/100Mi)
% 1.31/1.40 % (11015)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_10851 for (2997ds/3Mi)
% 1.31/1.40 % (11015)Instruction limit reached!
% 1.31/1.40 % (11015)------------------------------
% 1.31/1.40 % (11015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.40 % (11015)Termination reason: Unknown
% 1.31/1.40 % (11015)Termination phase: Saturation
% 1.31/1.40
% 1.31/1.40 % (11015)Memory used [KB]: 5500
% 1.31/1.40 % (11015)Time elapsed: 0.002 s
% 1.31/1.40 % (11015)Instructions burned: 3 (million)
% 1.31/1.40 % (11015)------------------------------
% 1.31/1.40 % (11015)------------------------------
% 1.31/1.41 % (11020)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_10851 for (2997ds/20Mi)
% 1.31/1.42 % (11020)Instruction limit reached!
% 1.31/1.42 % (11020)------------------------------
% 1.31/1.42 % (11020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.42 % (11020)Termination reason: Unknown
% 1.31/1.42 % (11020)Termination phase: Saturation
% 1.31/1.42
% 1.31/1.42 % (11020)Memory used [KB]: 5628
% 1.31/1.42 % (11020)Time elapsed: 0.008 s
% 1.31/1.42 % (11020)Instructions burned: 20 (million)
% 1.31/1.42 % (11020)------------------------------
% 1.31/1.42 % (11020)------------------------------
% 1.31/1.43 % (10971)Instruction limit reached!
% 1.31/1.43 % (10971)------------------------------
% 1.31/1.43 % (10971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.43 % (10971)Termination reason: Unknown
% 1.31/1.43 % (10971)Termination phase: Saturation
% 1.31/1.43
% 1.31/1.43 % (10971)Memory used [KB]: 7291
% 1.31/1.43 % (10971)Time elapsed: 0.227 s
% 1.31/1.43 % (10971)Instructions burned: 711 (million)
% 1.31/1.43 % (10971)------------------------------
% 1.31/1.43 % (10971)------------------------------
% 1.31/1.43 % (11031)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_10851 for (2996ds/86Mi)
% 1.31/1.43 % (11014)Instruction limit reached!
% 1.31/1.43 % (11014)------------------------------
% 1.31/1.43 % (11014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.43 % (11014)Termination reason: Unknown
% 1.31/1.43 % (11014)Termination phase: Saturation
% 1.31/1.43
% 1.31/1.43 % (11014)Memory used [KB]: 5756
% 1.31/1.43 % (11014)Time elapsed: 0.031 s
% 1.31/1.43 % (11014)Instructions burned: 100 (million)
% 1.31/1.43 % (11014)------------------------------
% 1.31/1.43 % (11014)------------------------------
% 1.31/1.44 % (11035)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_10851 for (2996ds/107Mi)
% 1.31/1.44 % (11037)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_10851 for (2996ds/39Mi)
% 1.31/1.45 % (11037)Instruction limit reached!
% 1.31/1.45 % (11037)------------------------------
% 1.31/1.45 % (11037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.45 % (11037)Termination reason: Unknown
% 1.31/1.45 % (11037)Termination phase: Saturation
% 1.31/1.45
% 1.31/1.45 % (11037)Memory used [KB]: 5884
% 1.31/1.45 % (11037)Time elapsed: 0.014 s
% 1.31/1.45 % (11037)Instructions burned: 41 (million)
% 1.31/1.45 % (11037)------------------------------
% 1.31/1.45 % (11037)------------------------------
% 1.31/1.45 % (11031)Instruction limit reached!
% 1.31/1.45 % (11031)------------------------------
% 1.31/1.45 % (11031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.45 % (11031)Termination reason: Unknown
% 1.31/1.45 % (11031)Termination phase: Saturation
% 1.31/1.45
% 1.31/1.45 % (11031)Memory used [KB]: 6012
% 1.31/1.45 % (11031)Time elapsed: 0.027 s
% 1.31/1.45 % (11031)Instructions burned: 87 (million)
% 1.31/1.45 % (11031)------------------------------
% 1.31/1.45 % (11031)------------------------------
% 1.31/1.46 % (11047)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_10851 for (2996ds/448Mi)
% 1.31/1.46 % (11049)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_10851 for (2996ds/46Mi)
% 1.31/1.47 % (11035)Instruction limit reached!
% 1.31/1.47 % (11035)------------------------------
% 1.31/1.47 % (11035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.47 % (11035)Termination reason: Unknown
% 1.31/1.47 % (11035)Termination phase: Saturation
% 1.31/1.47
% 1.31/1.47 % (11035)Memory used [KB]: 5884
% 1.31/1.47 % (11035)Time elapsed: 0.036 s
% 1.31/1.47 % (11035)Instructions burned: 109 (million)
% 1.31/1.47 % (11035)------------------------------
% 1.31/1.47 % (11035)------------------------------
% 1.31/1.48 % (11049)Instruction limit reached!
% 1.31/1.48 % (11049)------------------------------
% 1.31/1.48 % (11049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.48 % (11049)Termination reason: Unknown
% 1.31/1.48 % (11049)Termination phase: Saturation
% 1.31/1.48
% 1.31/1.48 % (11049)Memory used [KB]: 5756
% 1.31/1.48 % (11049)Time elapsed: 0.017 s
% 1.31/1.48 % (11049)Instructions burned: 47 (million)
% 1.31/1.48 % (11049)------------------------------
% 1.31/1.48 % (11049)------------------------------
% 1.31/1.48 % (11056)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_10851 for (2996ds/98Mi)
% 1.31/1.49 % (11058)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_10851 for (2996ds/507Mi)
% 1.31/1.50 % (10962)Instruction limit reached!
% 1.31/1.50 % (10962)------------------------------
% 1.31/1.50 % (10962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.50 % (10962)Termination reason: Unknown
% 1.31/1.50 % (10962)Termination phase: Saturation
% 1.31/1.50
% 1.31/1.50 % (10962)Memory used [KB]: 6908
% 1.31/1.50 % (10962)Time elapsed: 0.338 s
% 1.31/1.50 % (10962)Instructions burned: 1042 (million)
% 1.31/1.50 % (10962)------------------------------
% 1.31/1.50 % (10962)------------------------------
% 1.31/1.51 % (10978)Instruction limit reached!
% 1.31/1.51 % (10978)------------------------------
% 1.31/1.51 % (10978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.51 % (10978)Termination reason: Unknown
% 1.31/1.51 % (10978)Termination phase: Saturation
% 1.31/1.51
% 1.31/1.51 % (10978)Memory used [KB]: 6652
% 1.31/1.51 % (10978)Time elapsed: 0.260 s
% 1.31/1.51 % (10978)Instructions burned: 780 (million)
% 1.31/1.51 % (10978)------------------------------
% 1.31/1.51 % (10978)------------------------------
% 1.31/1.51 % (11068)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_10851 for (2996ds/149Mi)
% 1.31/1.51 % (11056)Instruction limit reached!
% 1.31/1.51 % (11056)------------------------------
% 1.31/1.51 % (11056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.51 % (11056)Termination reason: Unknown
% 1.31/1.51 % (11056)Termination phase: Saturation
% 1.31/1.51
% 1.31/1.51 % (11056)Memory used [KB]: 1151
% 1.31/1.51 % (11056)Time elapsed: 0.030 s
% 1.31/1.51 % (11056)Instructions burned: 100 (million)
% 1.31/1.51 % (11056)------------------------------
% 1.31/1.51 % (11056)------------------------------
% 1.31/1.52 % (11069)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_10851 for (2996ds/39Mi)
% 1.31/1.52 % (10973)Instruction limit reached!
% 1.31/1.52 % (10973)------------------------------
% 1.31/1.52 % (10973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.52 % (10973)Termination reason: Unknown
% 1.31/1.52 % (10973)Termination phase: Saturation
% 1.31/1.52
% 1.31/1.52 % (10973)Memory used [KB]: 7164
% 1.31/1.52 % (10973)Time elapsed: 0.331 s
% 1.31/1.52 % (10973)Instructions burned: 903 (million)
% 1.31/1.52 % (10973)------------------------------
% 1.31/1.52 % (10973)------------------------------
% 1.31/1.52 % (11070)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_10851 for (2996ds/6Mi)
% 1.31/1.52 % (11070)Instruction limit reached!
% 1.31/1.52 % (11070)------------------------------
% 1.31/1.52 % (11070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.52 % (11070)Termination reason: Unknown
% 1.31/1.52 % (11070)Termination phase: Saturation
% 1.31/1.52
% 1.31/1.52 % (11070)Memory used [KB]: 9978
% 1.31/1.52 % (11070)Time elapsed: 0.004 s
% 1.31/1.52 % (11070)Instructions burned: 7 (million)
% 1.31/1.52 % (11070)------------------------------
% 1.31/1.52 % (11070)------------------------------
% 1.31/1.53 % (11076)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_10851 for (2996ds/1087Mi)
% 1.31/1.53 % (11069)Instruction limit reached!
% 1.31/1.53 % (11069)------------------------------
% 1.31/1.53 % (11069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.53 % (11069)Termination reason: Unknown
% 1.31/1.53 % (11069)Termination phase: Saturation
% 1.31/1.53
% 1.31/1.53 % (11069)Memory used [KB]: 5628
% 1.31/1.53 % (11069)Time elapsed: 0.014 s
% 1.31/1.53 % (11069)Instructions burned: 39 (million)
% 1.31/1.53 % (11069)------------------------------
% 1.31/1.53 % (11069)------------------------------
% 1.31/1.53 % (11080)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_10851 for (2995ds/47Mi)
% 1.31/1.54 % (11085)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_10851 for (2995ds/44Mi)
% 1.31/1.55 % (11080)Instruction limit reached!
% 1.31/1.55 % (11080)------------------------------
% 1.31/1.55 % (11080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.55 % (11080)Termination reason: Unknown
% 1.31/1.55 % (11080)Termination phase: Saturation
% 1.31/1.55
% 1.31/1.55 % (11080)Memory used [KB]: 5756
% 1.31/1.55 % (11080)Time elapsed: 0.017 s
% 1.31/1.55 % (11080)Instructions burned: 48 (million)
% 1.31/1.55 % (11080)------------------------------
% 1.31/1.55 % (11080)------------------------------
% 1.31/1.55 % (11085)Instruction limit reached!
% 1.31/1.55 % (11085)------------------------------
% 1.31/1.55 % (11085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.55 % (11085)Termination reason: Unknown
% 1.31/1.55 % (11085)Termination phase: Saturation
% 1.31/1.55
% 1.31/1.55 % (11085)Memory used [KB]: 1279
% 1.31/1.55 % (11085)Time elapsed: 0.016 s
% 1.31/1.55 % (11085)Instructions burned: 47 (million)
% 1.31/1.55 % (11085)------------------------------
% 1.31/1.55 % (11085)------------------------------
% 1.31/1.56 % (11068)Instruction limit reached!
% 1.31/1.56 % (11068)------------------------------
% 1.31/1.56 % (11068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.56 % (11068)Termination reason: Unknown
% 1.31/1.56 % (11068)Termination phase: Saturation
% 1.31/1.56
% 1.31/1.56 % (11068)Memory used [KB]: 6140
% 1.31/1.56 % (11068)Time elapsed: 0.049 s
% 1.31/1.56 % (11068)Instructions burned: 149 (million)
% 1.31/1.56 % (11068)------------------------------
% 1.31/1.56 % (11068)------------------------------
% 1.31/1.56 % (11094)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_10851 for (2995ds/432Mi)
% 1.31/1.56 % (11095)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_10851 for (2995ds/62Mi)
% 1.31/1.57 % (11100)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_10851 for (2995ds/31Mi)
% 1.31/1.57 % (10980)Instruction limit reached!
% 1.31/1.57 % (10980)------------------------------
% 1.31/1.57 % (10980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.57 % (10980)Termination reason: Unknown
% 1.31/1.57 % (10980)Termination phase: Saturation
% 1.31/1.57
% 1.31/1.57 % (10980)Memory used [KB]: 7419
% 1.31/1.57 % (10980)Time elapsed: 0.291 s
% 1.31/1.57 % (10980)Instructions burned: 881 (million)
% 1.31/1.57 % (10980)------------------------------
% 1.31/1.57 % (10980)------------------------------
% 1.31/1.58 % (11100)Instruction limit reached!
% 1.31/1.58 % (11100)------------------------------
% 1.31/1.58 % (11100)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.58 % (11100)Termination reason: Unknown
% 1.31/1.58 % (11100)Termination phase: Saturation
% 1.31/1.58
% 1.31/1.58 % (11100)Memory used [KB]: 5756
% 1.31/1.58 % (11100)Time elapsed: 0.012 s
% 1.31/1.58 % (11100)Instructions burned: 33 (million)
% 1.31/1.58 % (11100)------------------------------
% 1.31/1.58 % (11100)------------------------------
% 1.31/1.58 % (11112)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_10851 for (2995ds/96Mi)
% 1.31/1.58 % (11095)Instruction limit reached!
% 1.31/1.58 % (11095)------------------------------
% 1.31/1.58 % (11095)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.58 % (11095)Termination reason: Unknown
% 1.31/1.58 % (11095)Termination phase: Saturation
% 1.31/1.58
% 1.31/1.58 % (11095)Memory used [KB]: 5756
% 1.31/1.58 % (11095)Time elapsed: 0.020 s
% 1.31/1.58 % (11095)Instructions burned: 63 (million)
% 1.31/1.58 % (11095)------------------------------
% 1.31/1.58 % (11095)------------------------------
% 1.31/1.59 % (11117)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_10851 for (2995ds/453Mi)
% 1.31/1.59 % (11121)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_10851 for (2995ds/71Mi)
% 1.31/1.60 % (11047)Instruction limit reached!
% 1.31/1.60 % (11047)------------------------------
% 1.31/1.60 % (11047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.60 % (11047)Termination reason: Unknown
% 1.31/1.60 % (11047)Termination phase: Saturation
% 1.31/1.60
% 1.31/1.60 % (11047)Memory used [KB]: 6268
% 1.31/1.60 % (11047)Time elapsed: 0.134 s
% 1.31/1.60 % (11047)Instructions burned: 448 (million)
% 1.31/1.60 % (11047)------------------------------
% 1.31/1.60 % (11047)------------------------------
% 1.31/1.61 % (11124)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_10851 for (2995ds/83Mi)
% 1.31/1.61 % (11112)Instruction limit reached!
% 1.31/1.61 % (11112)------------------------------
% 1.31/1.61 % (11112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.61 % (11112)Termination reason: Unknown
% 1.31/1.61 % (11112)Termination phase: Saturation
% 1.31/1.61
% 1.31/1.61 % (11112)Memory used [KB]: 5756
% 1.31/1.61 % (11112)Time elapsed: 0.031 s
% 1.31/1.61 % (11112)Instructions burned: 98 (million)
% 1.31/1.61 % (11112)------------------------------
% 1.31/1.61 % (11112)------------------------------
% 1.31/1.61 % (11121)Instruction limit reached!
% 1.31/1.61 % (11121)------------------------------
% 1.31/1.61 % (11121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.61 % (11121)Termination reason: Unknown
% 1.31/1.61 % (11121)Termination phase: Saturation
% 1.31/1.61
% 1.31/1.61 % (11121)Memory used [KB]: 5756
% 1.31/1.61 % (11121)Time elapsed: 0.025 s
% 1.31/1.61 % (11121)Instructions burned: 73 (million)
% 1.31/1.61 % (11121)------------------------------
% 1.31/1.61 % (11121)------------------------------
% 1.31/1.62 % (11135)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_10851 for (2995ds/11Mi)
% 1.31/1.62 % (11135)Instruction limit reached!
% 1.31/1.62 % (11135)------------------------------
% 1.31/1.62 % (11135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.62 % (11135)Termination reason: Unknown
% 1.31/1.62 % (11135)Termination phase: Saturation
% 1.31/1.62
% 1.31/1.62 % (11135)Memory used [KB]: 5500
% 1.31/1.62 % (11135)Time elapsed: 0.005 s
% 1.31/1.62 % (11135)Instructions burned: 12 (million)
% 1.31/1.62 % (11135)------------------------------
% 1.31/1.62 % (11135)------------------------------
% 1.31/1.62 % (11141)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_10851 for (2995ds/41Mi)
% 1.31/1.63 % (11142)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_10851 for (2995ds/6Mi)
% 1.31/1.63 % (11141)Refutation not found, incomplete strategy
% 1.31/1.63 % (11141)------------------------------
% 1.31/1.63 % (11141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.63 % (11141)Termination reason: Refutation not found, incomplete strategy
% 1.31/1.63
% 1.31/1.63
% 1.31/1.63 % (11141)Memory used [KB]: 5628
% 1.31/1.63 % (11141)Time elapsed: 0.028 s
% 1.31/1.63 % (11141)Instructions burned: 18 (million)
% 1.31/1.63 % (11141)------------------------------
% 1.31/1.63 % (11141)------------------------------
% 1.31/1.63 % (11142)Instruction limit reached!
% 1.31/1.63 % (11142)------------------------------
% 1.31/1.63 % (11142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.63 % (11142)Termination reason: Unknown
% 1.31/1.63 % (11142)Termination phase: Saturation
% 1.31/1.63
% 1.31/1.63 % (11142)Memory used [KB]: 5500
% 1.31/1.63 % (11142)Time elapsed: 0.004 s
% 1.31/1.63 % (11142)Instructions burned: 8 (million)
% 1.31/1.63 % (11142)------------------------------
% 1.31/1.63 % (11142)------------------------------
% 1.31/1.63 % (11124)Instruction limit reached!
% 1.31/1.63 % (11124)------------------------------
% 1.31/1.63 % (11124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.63 % (11124)Termination reason: Unknown
% 1.31/1.63 % (11124)Termination phase: Saturation
% 1.31/1.63
% 1.31/1.63 % (11124)Memory used [KB]: 6012
% 1.31/1.63 % (11124)Time elapsed: 0.028 s
% 1.31/1.63 % (11124)Instructions burned: 85 (million)
% 1.31/1.63 % (11124)------------------------------
% 1.31/1.63 % (11124)------------------------------
% 1.31/1.64 % (11146)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_10851 for (2994ds/150Mi)
% 1.31/1.64 % (11148)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_10851 for (2994ds/343Mi)
% 1.31/1.64 % (11149)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_10851 for (2994ds/109Mi)
% 1.31/1.65 % (11058)Instruction limit reached!
% 1.31/1.65 % (11058)------------------------------
% 1.31/1.65 % (11058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.65 % (11058)Termination reason: Unknown
% 1.31/1.65 % (11058)Termination phase: Saturation
% 1.31/1.65
% 1.31/1.65 % (11058)Memory used [KB]: 6652
% 1.31/1.65 % (11058)Time elapsed: 0.158 s
% 1.31/1.65 % (11058)Instructions burned: 508 (million)
% 1.31/1.65 % (11058)------------------------------
% 1.31/1.65 % (11058)------------------------------
% 1.31/1.66 % (11158)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_10851 for (2994ds/253Mi)
% 1.31/1.68 % (11149)Instruction limit reached!
% 1.31/1.68 % (11149)------------------------------
% 1.31/1.68 % (11149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.68 % (11149)Termination reason: Unknown
% 1.31/1.68 % (11149)Termination phase: Saturation
% 1.31/1.68
% 1.31/1.68 % (11149)Memory used [KB]: 6268
% 1.31/1.68 % (11149)Time elapsed: 0.058 s
% 1.31/1.68 % (11149)Instructions burned: 109 (million)
% 1.31/1.68 % (11149)------------------------------
% 1.31/1.68 % (11149)------------------------------
% 1.31/1.68 % (11094)Instruction limit reached!
% 1.31/1.68 % (11094)------------------------------
% 1.31/1.68 % (11094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.68 % (11094)Termination reason: Unknown
% 1.31/1.68 % (11094)Termination phase: Saturation
% 1.31/1.68
% 1.31/1.68 % (11094)Memory used [KB]: 2558
% 1.31/1.68 % (11094)Time elapsed: 0.128 s
% 1.31/1.68 % (11094)Instructions burned: 432 (million)
% 1.31/1.68 % (11094)------------------------------
% 1.31/1.68 % (11094)------------------------------
% 1.31/1.69 % (11146)Instruction limit reached!
% 1.31/1.69 % (11146)------------------------------
% 1.31/1.69 % (11146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.69 % (11146)Termination reason: Unknown
% 1.31/1.69 % (11146)Termination phase: Saturation
% 1.31/1.69
% 1.31/1.69 % (11146)Memory used [KB]: 6268
% 1.31/1.69 % (11146)Time elapsed: 0.069 s
% 1.31/1.69 % (11146)Instructions burned: 151 (million)
% 1.31/1.69 % (11146)------------------------------
% 1.31/1.69 % (11146)------------------------------
% 1.31/1.69 % (11169)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_10851 for (2994ds/140Mi)
% 1.31/1.69 % (11173)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_10851 for (2994ds/614Mi)
% 1.31/1.69 % (11174)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_10851 for (2994ds/202Mi)
% 1.31/1.71 % (11117)Instruction limit reached!
% 1.31/1.71 % (11117)------------------------------
% 1.31/1.71 % (11117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.71 % (11117)Termination reason: Unknown
% 1.31/1.71 % (11117)Termination phase: Saturation
% 1.31/1.71
% 1.31/1.71 % (11117)Memory used [KB]: 6012
% 1.31/1.71 % (11117)Time elapsed: 0.129 s
% 1.31/1.71 % (11117)Instructions burned: 454 (million)
% 1.31/1.71 % (11117)------------------------------
% 1.31/1.71 % (11117)------------------------------
% 1.31/1.72 % (11187)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_10851 for (2993ds/339Mi)
% 1.31/1.73 % (11169)Instruction limit reached!
% 1.31/1.73 % (11169)------------------------------
% 1.31/1.73 % (11169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.73 % (11169)Termination reason: Unknown
% 1.31/1.73 % (11169)Termination phase: Saturation
% 1.31/1.73
% 1.31/1.73 % (11169)Memory used [KB]: 5884
% 1.31/1.73 % (11169)Time elapsed: 0.044 s
% 1.31/1.73 % (11169)Instructions burned: 140 (million)
% 1.31/1.73 % (11169)------------------------------
% 1.31/1.73 % (11169)------------------------------
% 1.31/1.73 % (11158)Instruction limit reached!
% 1.31/1.73 % (11158)------------------------------
% 1.31/1.73 % (11158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.73 % (11158)Termination reason: Unknown
% 1.31/1.73 % (11158)Termination phase: Saturation
% 1.31/1.73
% 1.31/1.73 % (11158)Memory used [KB]: 6140
% 1.31/1.73 % (11158)Time elapsed: 0.080 s
% 1.31/1.73 % (11158)Instructions burned: 255 (million)
% 1.31/1.73 % (11158)------------------------------
% 1.31/1.73 % (11158)------------------------------
% 1.31/1.74 % (11192)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_10851 for (2993ds/283Mi)
% 1.31/1.74 % (11195)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_10851 for (2993ds/134Mi)
% 1.31/1.75 % (11148)Instruction limit reached!
% 1.31/1.75 % (11148)------------------------------
% 1.31/1.75 % (11148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.75 % (11148)Termination reason: Unknown
% 1.31/1.75 % (11148)Termination phase: Saturation
% 1.31/1.75
% 1.31/1.75 % (11148)Memory used [KB]: 6396
% 1.31/1.75 % (11148)Time elapsed: 0.132 s
% 1.31/1.75 % (11148)Instructions burned: 345 (million)
% 1.31/1.75 % (11148)------------------------------
% 1.31/1.75 % (11148)------------------------------
% 1.31/1.76 % (11174)Instruction limit reached!
% 1.31/1.76 % (11174)------------------------------
% 1.31/1.76 % (11174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.76 % (11174)Termination reason: Unknown
% 1.31/1.76 % (11174)Termination phase: Saturation
% 1.31/1.76
% 1.31/1.76 % (11174)Memory used [KB]: 6268
% 1.31/1.76 % (11174)Time elapsed: 0.063 s
% 1.31/1.76 % (11174)Instructions burned: 202 (million)
% 1.31/1.76 % (11174)------------------------------
% 1.31/1.76 % (11174)------------------------------
% 1.31/1.76 % (11201)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_10851 for (2993ds/298Mi)
% 1.31/1.77 % (11204)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_10851 for (2993ds/192Mi)
% 1.31/1.79 % (11195)Instruction limit reached!
% 1.31/1.79 % (11195)------------------------------
% 1.31/1.79 % (11195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.79 % (11195)Termination reason: Unknown
% 1.31/1.79 % (11195)Termination phase: Saturation
% 1.31/1.79
% 1.31/1.79 % (11195)Memory used [KB]: 6268
% 1.31/1.79 % (11195)Time elapsed: 0.043 s
% 1.31/1.79 % (11195)Instructions burned: 134 (million)
% 1.31/1.79 % (11195)------------------------------
% 1.31/1.79 % (11195)------------------------------
% 1.31/1.80 % (11215)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_10851 for (2993ds/258Mi)
% 1.31/1.82 % (11192)Instruction limit reached!
% 1.31/1.82 % (11192)------------------------------
% 1.31/1.82 % (11192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.82 % (11192)Termination reason: Unknown
% 1.31/1.82 % (11192)Termination phase: Saturation
% 1.31/1.82
% 1.31/1.82 % (11192)Memory used [KB]: 6652
% 1.31/1.82 % (11192)Time elapsed: 0.083 s
% 1.31/1.82 % (11192)Instructions burned: 285 (million)
% 1.31/1.82 % (11192)------------------------------
% 1.31/1.82 % (11192)------------------------------
% 1.31/1.83 % (11204)Instruction limit reached!
% 1.31/1.83 % (11204)------------------------------
% 1.31/1.83 % (11204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.83 % (11204)Termination reason: Unknown
% 1.31/1.83 % (11204)Termination phase: Saturation
% 1.31/1.83
% 1.31/1.83 % (11204)Memory used [KB]: 6268
% 1.31/1.83 % (11204)Time elapsed: 0.061 s
% 1.31/1.83 % (11204)Instructions burned: 193 (million)
% 1.31/1.83 % (11204)------------------------------
% 1.31/1.83 % (11204)------------------------------
% 1.31/1.83 % (11187)Instruction limit reached!
% 1.31/1.83 % (11187)------------------------------
% 1.31/1.83 % (11187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.83 % (11187)Termination reason: Unknown
% 1.31/1.83 % (11187)Termination phase: Saturation
% 1.31/1.83
% 1.31/1.83 % (11187)Memory used [KB]: 6396
% 1.31/1.83 % (11187)Time elapsed: 0.107 s
% 1.31/1.83 % (11187)Instructions burned: 340 (million)
% 1.31/1.83 % (11187)------------------------------
% 1.31/1.83 % (11187)------------------------------
% 1.31/1.83 % (11226)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_10851 for (2992ds/90Mi)
% 1.31/1.84 % (11232)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_10851 for (2992ds/231Mi)
% 1.31/1.84 % (11235)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_10851 for (2992ds/458Mi)
% 1.31/1.85 % (11201)Instruction limit reached!
% 1.31/1.85 % (11201)------------------------------
% 1.31/1.85 % (11201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.85 % (11201)Termination reason: Unknown
% 1.31/1.85 % (11201)Termination phase: Saturation
% 1.31/1.85
% 1.31/1.85 % (11201)Memory used [KB]: 6524
% 1.31/1.85 % (11201)Time elapsed: 0.094 s
% 1.31/1.85 % (11201)Instructions burned: 299 (million)
% 1.31/1.85 % (11201)------------------------------
% 1.31/1.85 % (11201)------------------------------
% 1.31/1.86 % (11076)Instruction limit reached!
% 1.31/1.86 % (11076)------------------------------
% 1.31/1.86 % (11076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.86 % (11076)Termination reason: Unknown
% 1.31/1.86 % (11076)Termination phase: Saturation
% 1.31/1.86
% 1.31/1.86 % (11076)Memory used [KB]: 7291
% 1.31/1.86 % (11076)Time elapsed: 0.329 s
% 1.31/1.86 % (11076)Instructions burned: 1088 (million)
% 1.31/1.86 % (11076)------------------------------
% 1.31/1.86 % (11076)------------------------------
% 1.31/1.86 % (11226)Instruction limit reached!
% 1.31/1.86 % (11226)------------------------------
% 1.31/1.86 % (11226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.86 % (11226)Termination reason: Unknown
% 1.31/1.86 % (11226)Termination phase: Saturation
% 1.31/1.86
% 1.31/1.86 % (11226)Memory used [KB]: 5884
% 1.31/1.86 % (11226)Time elapsed: 0.030 s
% 1.31/1.86 % (11226)Instructions burned: 90 (million)
% 1.31/1.86 % (11226)------------------------------
% 1.31/1.86 % (11226)------------------------------
% 1.31/1.86 % (11253)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_10851 for (2992ds/31Mi)
% 1.31/1.87 % (11257)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_10851 for (2992ds/297Mi)
% 1.31/1.87 % (11259)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_10851 for (2992ds/987Mi)
% 1.31/1.87 % (11253)Instruction limit reached!
% 1.31/1.87 % (11253)------------------------------
% 1.31/1.87 % (11253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.87 % (11253)Termination reason: Unknown
% 1.31/1.87 % (11253)Termination phase: Saturation
% 1.31/1.87
% 1.31/1.87 % (11253)Memory used [KB]: 5756
% 1.31/1.87 % (11253)Time elapsed: 0.012 s
% 1.31/1.87 % (11253)Instructions burned: 33 (million)
% 1.31/1.87 % (11253)------------------------------
% 1.31/1.87 % (11253)------------------------------
% 1.31/1.88 % (11215)Instruction limit reached!
% 1.31/1.88 % (11215)------------------------------
% 1.31/1.88 % (11215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.88 % (11215)Termination reason: Unknown
% 1.31/1.88 % (11215)Termination phase: Saturation
% 1.31/1.88
% 1.31/1.88 % (11215)Memory used [KB]: 6140
% 1.31/1.88 % (11215)Time elapsed: 0.081 s
% 1.31/1.88 % (11215)Instructions burned: 260 (million)
% 1.31/1.88 % (11215)------------------------------
% 1.31/1.88 % (11215)------------------------------
% 1.31/1.88 % (11173)Instruction limit reached!
% 1.31/1.88 % (11173)------------------------------
% 1.31/1.88 % (11173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.88 % (11173)Termination reason: Unknown
% 1.31/1.88 % (11173)Termination phase: Saturation
% 1.31/1.88
% 1.31/1.88 % (11173)Memory used [KB]: 6780
% 1.31/1.88 % (11173)Time elapsed: 0.189 s
% 1.31/1.88 % (11173)Instructions burned: 614 (million)
% 1.31/1.88 % (11173)------------------------------
% 1.31/1.88 % (11173)------------------------------
% 1.31/1.88 % (11267)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_10851 for (2992ds/182Mi)
% 1.31/1.89 % (11268)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_10851 for (2992ds/182Mi)
% 1.31/1.89 % (11271)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_10851 for (2992ds/154Mi)
% 1.31/1.91 % (11232)Instruction limit reached!
% 1.31/1.91 % (11232)------------------------------
% 1.31/1.91 % (11232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.91 % (11232)Termination reason: Unknown
% 1.31/1.91 % (11232)Termination phase: Saturation
% 1.31/1.91
% 1.31/1.91 % (11232)Memory used [KB]: 6140
% 1.31/1.91 % (11232)Time elapsed: 0.078 s
% 1.31/1.91 % (11232)Instructions burned: 233 (million)
% 1.31/1.91 % (11232)------------------------------
% 1.31/1.91 % (11232)------------------------------
% 1.31/1.92 % (11275)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_10851 for (2992ds/79Mi)
% 1.31/1.94 % (11271)Instruction limit reached!
% 1.31/1.94 % (11271)------------------------------
% 1.31/1.94 % (11271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.94 % (11271)Termination reason: Unknown
% 1.31/1.94 % (11271)Termination phase: Saturation
% 1.31/1.94
% 1.31/1.94 % (11271)Memory used [KB]: 6140
% 1.31/1.94 % (11271)Time elapsed: 0.049 s
% 1.31/1.94 % (11271)Instructions burned: 155 (million)
% 1.31/1.94 % (11271)------------------------------
% 1.31/1.94 % (11271)------------------------------
% 1.31/1.94 % (11267)Instruction limit reached!
% 1.31/1.94 % (11267)------------------------------
% 1.31/1.94 % (11267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.94 % (11267)Termination reason: Unknown
% 1.31/1.94 % (11267)Termination phase: Saturation
% 1.31/1.94
% 1.31/1.94 % (11267)Memory used [KB]: 6012
% 1.31/1.94 % (11267)Time elapsed: 0.060 s
% 1.31/1.94 % (11267)Instructions burned: 184 (million)
% 1.31/1.94 % (11267)------------------------------
% 1.31/1.94 % (11267)------------------------------
% 1.31/1.94 % (11268)Instruction limit reached!
% 1.31/1.94 % (11268)------------------------------
% 1.31/1.94 % (11268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.94 % (11268)Termination reason: Unknown
% 1.31/1.94 % (11268)Termination phase: Saturation
% 1.31/1.94
% 1.31/1.94 % (11268)Memory used [KB]: 5884
% 1.31/1.94 % (11268)Time elapsed: 0.059 s
% 1.31/1.94 % (11268)Instructions burned: 184 (million)
% 1.31/1.94 % (11268)------------------------------
% 1.31/1.94 % (11268)------------------------------
% 1.31/1.95 % (11276)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_10851 for (2991ds/216Mi)
% 1.31/1.95 % (11275)Instruction limit reached!
% 1.31/1.95 % (11275)------------------------------
% 1.31/1.95 % (11275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.95 % (11275)Termination reason: Unknown
% 1.31/1.95 % (11275)Termination phase: Saturation
% 1.31/1.95
% 1.31/1.95 % (11275)Memory used [KB]: 5756
% 1.31/1.95 % (11275)Time elapsed: 0.027 s
% 1.31/1.95 % (11275)Instructions burned: 80 (million)
% 1.31/1.95 % (11275)------------------------------
% 1.31/1.95 % (11275)------------------------------
% 1.31/1.95 % (11277)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_10851 for (2991ds/114Mi)
% 1.31/1.95 % (11278)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_10851 for (2991ds/922Mi)
% 1.31/1.96 % (11257)Instruction limit reached!
% 1.31/1.96 % (11257)------------------------------
% 1.31/1.96 % (11257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.96 % (11257)Termination reason: Unknown
% 1.31/1.96 % (11257)Termination phase: Saturation
% 1.31/1.96
% 1.31/1.96 % (11257)Memory used [KB]: 6524
% 1.31/1.96 % (11257)Time elapsed: 0.091 s
% 1.31/1.96 % (11257)Instructions burned: 298 (million)
% 1.31/1.96 % (11257)------------------------------
% 1.31/1.96 % (11257)------------------------------
% 1.31/1.96 % (11279)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_10851 for (2991ds/182Mi)
% 1.31/1.97 % (11280)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_10851 for (2991ds/164Mi)
% 1.31/1.98 % (11235)Instruction limit reached!
% 1.31/1.98 % (11235)------------------------------
% 1.31/1.98 % (11235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.98 % (11235)Termination reason: Unknown
% 1.31/1.98 % (11235)Termination phase: Saturation
% 1.31/1.98
% 1.31/1.98 % (11235)Memory used [KB]: 6652
% 1.31/1.98 % (11235)Time elapsed: 0.140 s
% 1.31/1.98 % (11235)Instructions burned: 459 (million)
% 1.31/1.98 % (11235)------------------------------
% 1.31/1.98 % (11235)------------------------------
% 1.31/1.98 % (11277)Instruction limit reached!
% 1.31/1.98 % (11277)------------------------------
% 1.31/1.98 % (11277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/1.98 % (11277)Termination reason: Unknown
% 1.31/1.98 % (11277)Termination phase: Saturation
% 1.31/1.98
% 1.31/1.98 % (11277)Memory used [KB]: 5884
% 1.31/1.98 % (11277)Time elapsed: 0.035 s
% 1.31/1.98 % (11277)Instructions burned: 117 (million)
% 1.31/1.98 % (11277)------------------------------
% 1.31/1.98 % (11277)------------------------------
% 1.31/1.99 % (11281)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_10851 for (2991ds/50Mi)
% 1.31/1.99 % (11282)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_10851 for (2991ds/368Mi)
% 1.31/2.00 % (11281)Instruction limit reached!
% 1.31/2.00 % (11281)------------------------------
% 1.31/2.00 % (11281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/2.00 % (11281)Termination reason: Unknown
% 1.31/2.00 % (11281)Termination phase: Saturation
% 1.31/2.00
% 1.31/2.00 % (11281)Memory used [KB]: 10618
% 1.31/2.00 % (11281)Time elapsed: 0.017 s
% 1.31/2.00 % (11281)Instructions burned: 52 (million)
% 1.31/2.00 % (11281)------------------------------
% 1.31/2.00 % (11281)------------------------------
% 1.31/2.01 % (11279)Instruction limit reached!
% 1.31/2.01 % (11279)------------------------------
% 1.31/2.01 % (11279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.31/2.01 % (11279)Termination reason: Unknown
% 1.31/2.01 % (11279)Termination phase: Saturation
% 1.31/2.01
% 1.31/2.01 % (11279)Memory used [KB]: 5756
% 1.31/2.01 % (11279)Time elapsed: 0.055 s
% 1.31/2.01 % (11279)Instructions burned: 185 (million)
% 1.31/2.01 % (11279)------------------------------
% 1.31/2.01 % (11279)------------------------------
% 7.50/2.01 % (11283)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_10851 for (2991ds/1021Mi)
% 7.50/2.01 % (11280)Instruction limit reached!
% 7.50/2.01 % (11280)------------------------------
% 7.50/2.01 % (11280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.01 % (11280)Termination reason: Unknown
% 7.50/2.01 % (11280)Termination phase: Saturation
% 7.50/2.01
% 7.50/2.01 % (11280)Memory used [KB]: 1407
% 7.50/2.01 % (11280)Time elapsed: 0.050 s
% 7.50/2.01 % (11280)Instructions burned: 164 (million)
% 7.50/2.01 % (11280)------------------------------
% 7.50/2.01 % (11280)------------------------------
% 7.50/2.02 % (11284)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_10851 for (2991ds/267Mi)
% 7.50/2.02 % (11285)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_10851 for (2991ds/204Mi)
% 7.50/2.03 % (11276)Instruction limit reached!
% 7.50/2.03 % (11276)------------------------------
% 7.50/2.03 % (11276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.03 % (11276)Termination reason: Unknown
% 7.50/2.03 % (11276)Termination phase: Saturation
% 7.50/2.03
% 7.50/2.03 % (11276)Memory used [KB]: 6268
% 7.50/2.03 % (11276)Time elapsed: 0.082 s
% 7.50/2.03 % (11276)Instructions burned: 216 (million)
% 7.50/2.03 % (11276)------------------------------
% 7.50/2.03 % (11276)------------------------------
% 7.50/2.05 % (11286)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_10851 for (2990ds/26Mi)
% 7.50/2.06 % (11286)Instruction limit reached!
% 7.50/2.06 % (11286)------------------------------
% 7.50/2.06 % (11286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.06 % (11286)Termination reason: Unknown
% 7.50/2.06 % (11286)Termination phase: Saturation
% 7.50/2.06
% 7.50/2.06 % (11286)Memory used [KB]: 5500
% 7.50/2.06 % (11286)Time elapsed: 0.017 s
% 7.50/2.06 % (11286)Instructions burned: 26 (million)
% 7.50/2.06 % (11286)------------------------------
% 7.50/2.06 % (11286)------------------------------
% 7.50/2.08 % (11287)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_10851 for (2990ds/53Mi)
% 7.50/2.09 % (11285)Instruction limit reached!
% 7.50/2.09 % (11285)------------------------------
% 7.50/2.09 % (11285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.09 % (11285)Termination reason: Unknown
% 7.50/2.09 % (11285)Termination phase: Saturation
% 7.50/2.09
% 7.50/2.09 % (11285)Memory used [KB]: 6012
% 7.50/2.09 % (11285)Time elapsed: 0.065 s
% 7.50/2.09 % (11285)Instructions burned: 204 (million)
% 7.50/2.09 % (11285)------------------------------
% 7.50/2.09 % (11285)------------------------------
% 7.50/2.10 % (11288)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_10851 for (2990ds/4436Mi)
% 7.50/2.10 % (11287)Instruction limit reached!
% 7.50/2.10 % (11287)------------------------------
% 7.50/2.10 % (11287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.10 % (11287)Termination reason: Unknown
% 7.50/2.10 % (11287)Termination phase: Saturation
% 7.50/2.10
% 7.50/2.10 % (11287)Memory used [KB]: 6140
% 7.50/2.10 % (11287)Time elapsed: 0.024 s
% 7.50/2.10 % (11287)Instructions burned: 53 (million)
% 7.50/2.10 % (11287)------------------------------
% 7.50/2.10 % (11287)------------------------------
% 7.50/2.10 % (11284)Instruction limit reached!
% 7.50/2.10 % (11284)------------------------------
% 7.50/2.10 % (11284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.10 % (11284)Termination reason: Unknown
% 7.50/2.10 % (11284)Termination phase: Saturation
% 7.50/2.10
% 7.50/2.10 % (11284)Memory used [KB]: 6140
% 7.50/2.10 % (11284)Time elapsed: 0.083 s
% 7.50/2.10 % (11284)Instructions burned: 269 (million)
% 7.50/2.10 % (11284)------------------------------
% 7.50/2.10 % (11284)------------------------------
% 7.50/2.10 % (11282)Instruction limit reached!
% 7.50/2.10 % (11282)------------------------------
% 7.50/2.10 % (11282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.10 % (11282)Termination reason: Unknown
% 7.50/2.10 % (11282)Termination phase: Saturation
% 7.50/2.10
% 7.50/2.10 % (11282)Memory used [KB]: 6908
% 7.50/2.10 % (11282)Time elapsed: 0.111 s
% 7.50/2.10 % (11282)Instructions burned: 371 (million)
% 7.50/2.10 % (11282)------------------------------
% 7.50/2.10 % (11282)------------------------------
% 7.50/2.11 % (11289)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_10851 for (2990ds/1539Mi)
% 8.09/2.11 % (11290)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_10851 for (2990ds/408Mi)
% 8.09/2.11 % (11292)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_10851 for (2990ds/5205Mi)
% 8.09/2.16 % (11259)Instruction limit reached!
% 8.09/2.16 % (11259)------------------------------
% 8.09/2.16 % (11259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.09/2.16 % (11259)Termination reason: Unknown
% 8.09/2.16 % (11259)Termination phase: Saturation
% 8.09/2.16
% 8.09/2.16 % (11259)Memory used [KB]: 6524
% 8.09/2.16 % (11259)Time elapsed: 0.294 s
% 8.09/2.16 % (11259)Instructions burned: 990 (million)
% 8.09/2.16 % (11259)------------------------------
% 8.09/2.16 % (11259)------------------------------
% 8.09/2.17 % (11293)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_10851 for (2989ds/1913Mi)
% 8.22/2.22 % (11290)Instruction limit reached!
% 8.22/2.22 % (11290)------------------------------
% 8.22/2.22 % (11290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.22 % (11290)Termination reason: Unknown
% 8.22/2.22 % (11290)Termination phase: Saturation
% 8.22/2.22
% 8.22/2.22 % (11290)Memory used [KB]: 6780
% 8.22/2.22 % (11290)Time elapsed: 0.135 s
% 8.22/2.22 % (11290)Instructions burned: 409 (million)
% 8.22/2.22 % (11290)------------------------------
% 8.22/2.22 % (11290)------------------------------
% 8.22/2.23 % (11278)Instruction limit reached!
% 8.22/2.23 % (11278)------------------------------
% 8.22/2.23 % (11278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.23 % (11278)Termination reason: Unknown
% 8.22/2.23 % (11278)Termination phase: Saturation
% 8.22/2.23
% 8.22/2.23 % (11278)Memory used [KB]: 7419
% 8.22/2.23 % (11278)Time elapsed: 0.281 s
% 8.22/2.23 % (11278)Instructions burned: 924 (million)
% 8.22/2.23 % (11278)------------------------------
% 8.22/2.23 % (11278)------------------------------
% 8.22/2.23 % (11294)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_10851 for (2989ds/4350Mi)
% 8.22/2.24 % (11295)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_10851 for (2988ds/68Mi)
% 8.22/2.26 % (11295)Instruction limit reached!
% 8.22/2.26 % (11295)------------------------------
% 8.22/2.26 % (11295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.26 % (11295)Termination reason: Unknown
% 8.22/2.26 % (11295)Termination phase: Saturation
% 8.22/2.26
% 8.22/2.26 % (11295)Memory used [KB]: 6012
% 8.22/2.26 % (11295)Time elapsed: 0.046 s
% 8.22/2.26 % (11295)Instructions burned: 69 (million)
% 8.22/2.26 % (11295)------------------------------
% 8.22/2.26 % (11295)------------------------------
% 8.22/2.27 % (11296)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_10851 for (2988ds/358Mi)
% 8.42/2.33 % (11283)Instruction limit reached!
% 8.42/2.33 % (11283)------------------------------
% 8.42/2.33 % (11283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.42/2.33 % (11283)Termination reason: Unknown
% 8.42/2.33 % (11283)Termination phase: Saturation
% 8.42/2.33
% 8.42/2.33 % (11283)Memory used [KB]: 7036
% 8.42/2.33 % (11283)Time elapsed: 0.314 s
% 8.42/2.33 % (11283)Instructions burned: 1021 (million)
% 8.42/2.33 % (11283)------------------------------
% 8.42/2.33 % (11283)------------------------------
% 8.42/2.33 % (11297)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_10851 for (2987ds/31Mi)
% 8.42/2.35 % (11297)Instruction limit reached!
% 8.42/2.35 % (11297)------------------------------
% 8.42/2.35 % (11297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.42/2.35 % (11297)Termination reason: Unknown
% 8.42/2.35 % (11297)Termination phase: Saturation
% 8.42/2.35
% 8.42/2.35 % (11297)Memory used [KB]: 5756
% 8.42/2.35 % (11297)Time elapsed: 0.012 s
% 8.42/2.35 % (11297)Instructions burned: 33 (million)
% 8.42/2.35 % (11297)------------------------------
% 8.42/2.35 % (11297)------------------------------
% 8.42/2.36 % (11298)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_10851 for (2987ds/279Mi)
% 8.42/2.38 % (11296)Instruction limit reached!
% 8.42/2.38 % (11296)------------------------------
% 8.42/2.38 % (11296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.42/2.38 % (11296)Termination reason: Unknown
% 8.42/2.38 % (11296)Termination phase: Saturation
% 8.42/2.38
% 8.42/2.38 % (11296)Memory used [KB]: 6140
% 8.42/2.38 % (11296)Time elapsed: 0.133 s
% 8.42/2.38 % (11296)Instructions burned: 359 (million)
% 8.42/2.38 % (11296)------------------------------
% 8.42/2.38 % (11296)------------------------------
% 8.42/2.39 % (11299)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_10851 for (2987ds/258Mi)
% 8.88/2.44 % (11298)Instruction limit reached!
% 8.88/2.44 % (11298)------------------------------
% 8.88/2.44 % (11298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.88/2.44 % (11298)Termination reason: Unknown
% 8.88/2.44 % (11298)Termination phase: Saturation
% 8.88/2.44
% 8.88/2.44 % (11298)Memory used [KB]: 6012
% 8.88/2.44 % (11298)Time elapsed: 0.085 s
% 8.88/2.44 % (11298)Instructions burned: 282 (million)
% 8.88/2.44 % (11298)------------------------------
% 8.88/2.44 % (11298)------------------------------
% 8.88/2.45 % (11300)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_10851 for (2986ds/26Mi)
% 8.88/2.46 % (11300)Instruction limit reached!
% 8.88/2.46 % (11300)------------------------------
% 8.88/2.46 % (11300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.88/2.46 % (11300)Termination reason: Unknown
% 8.88/2.46 % (11300)Termination phase: Saturation
% 8.88/2.46
% 8.88/2.46 % (11300)Memory used [KB]: 5500
% 8.88/2.46 % (11300)Time elapsed: 0.010 s
% 8.88/2.46 % (11300)Instructions burned: 27 (million)
% 8.88/2.46 % (11300)------------------------------
% 8.88/2.46 % (11300)------------------------------
% 8.88/2.47 % (11301)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_10851 for (2986ds/995Mi)
% 8.88/2.47 % (11299)Instruction limit reached!
% 8.88/2.47 % (11299)------------------------------
% 8.88/2.47 % (11299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.88/2.47 % (11299)Termination reason: Unknown
% 8.88/2.47 % (11299)Termination phase: Saturation
% 8.88/2.47
% 8.88/2.47 % (11299)Memory used [KB]: 6140
% 8.88/2.47 % (11299)Time elapsed: 0.082 s
% 8.88/2.47 % (11299)Instructions burned: 260 (million)
% 8.88/2.47 % (11299)------------------------------
% 8.88/2.47 % (11299)------------------------------
% 8.88/2.48 % (11302)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_10851 for (2986ds/373Mi)
% 9.08/2.57 % (11289)Instruction limit reached!
% 9.08/2.57 % (11289)------------------------------
% 9.08/2.57 % (11289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.08/2.57 % (11289)Termination reason: Unknown
% 9.08/2.57 % (11289)Termination phase: Saturation
% 9.08/2.57
% 9.08/2.57 % (11289)Memory used [KB]: 8059
% 9.08/2.57 % (11289)Time elapsed: 0.486 s
% 9.08/2.57 % (11289)Instructions burned: 1542 (million)
% 9.08/2.57 % (11289)------------------------------
% 9.08/2.57 % (11289)------------------------------
% 9.08/2.58 % (11303)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_10851 for (2985ds/253Mi)
% 9.08/2.60 % (11302)Instruction limit reached!
% 9.08/2.60 % (11302)------------------------------
% 9.08/2.60 % (11302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.08/2.60 % (11302)Termination reason: Unknown
% 9.08/2.60 % (11302)Termination phase: Saturation
% 9.08/2.60
% 9.08/2.60 % (11302)Memory used [KB]: 6524
% 9.08/2.60 % (11302)Time elapsed: 0.116 s
% 9.08/2.60 % (11302)Instructions burned: 375 (million)
% 9.08/2.60 % (11302)------------------------------
% 9.08/2.60 % (11302)------------------------------
% 9.56/2.61 % (11304)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_10851 for (2985ds/832Mi)
% 9.56/2.67 % (11303)Instruction limit reached!
% 9.56/2.67 % (11303)------------------------------
% 9.56/2.67 % (11303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.56/2.67 % (11303)Termination reason: Unknown
% 9.56/2.67 % (11303)Termination phase: Saturation
% 9.56/2.67
% 9.56/2.67 % (11303)Memory used [KB]: 6268
% 9.56/2.67 % (11303)Time elapsed: 0.082 s
% 9.56/2.67 % (11303)Instructions burned: 254 (million)
% 9.56/2.67 % (11303)------------------------------
% 9.56/2.67 % (11303)------------------------------
% 9.56/2.67 % (11305)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_10851 for (2984ds/668Mi)
% 9.78/2.70 % (11293)Instruction limit reached!
% 9.78/2.70 % (11293)------------------------------
% 9.78/2.70 % (11293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.78/2.70 % (11293)Termination reason: Unknown
% 9.78/2.70 % (11293)Termination phase: Saturation
% 9.78/2.70
% 9.78/2.70 % (11293)Memory used [KB]: 2942
% 9.78/2.70 % (11293)Time elapsed: 0.551 s
% 9.78/2.70 % (11293)Instructions burned: 1913 (million)
% 9.78/2.70 % (11293)------------------------------
% 9.78/2.70 % (11293)------------------------------
% 9.78/2.71 % (11306)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_10851 for (2984ds/40Mi)
% 9.78/2.72 % (11306)Instruction limit reached!
% 9.78/2.72 % (11306)------------------------------
% 9.78/2.72 % (11306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.78/2.72 % (11306)Termination reason: Unknown
% 9.78/2.72 % (11306)Termination phase: Saturation
% 9.78/2.72
% 9.78/2.72 % (11306)Memory used [KB]: 5756
% 9.78/2.72 % (11306)Time elapsed: 0.014 s
% 9.78/2.72 % (11306)Instructions burned: 40 (million)
% 9.78/2.72 % (11306)------------------------------
% 9.78/2.72 % (11306)------------------------------
% 9.78/2.73 % (11307)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_10851 for (2983ds/294Mi)
% 9.78/2.74 % (11301)Instruction limit reached!
% 9.78/2.74 % (11301)------------------------------
% 9.78/2.74 % (11301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.78/2.74 % (11301)Termination reason: Unknown
% 9.78/2.74 % (11301)Termination phase: Saturation
% 9.78/2.74
% 9.78/2.74 % (11301)Memory used [KB]: 6780
% 9.78/2.74 % (11301)Time elapsed: 0.279 s
% 9.78/2.74 % (11301)Instructions burned: 998 (million)
% 9.78/2.74 % (11301)------------------------------
% 9.78/2.74 % (11301)------------------------------
% 9.78/2.75 % (11308)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_10851 for (2983ds/187Mi)
% 10.63/2.81 % (11308)Instruction limit reached!
% 10.63/2.81 % (11308)------------------------------
% 10.63/2.81 % (11308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.63/2.81 % (11308)Termination reason: Unknown
% 10.63/2.81 % (11308)Termination phase: Saturation
% 10.63/2.81
% 10.63/2.81 % (11308)Memory used [KB]: 6652
% 10.63/2.81 % (11308)Time elapsed: 0.056 s
% 10.63/2.81 % (11308)Instructions burned: 188 (million)
% 10.63/2.81 % (11308)------------------------------
% 10.63/2.81 % (11308)------------------------------
% 10.63/2.82 % (11307)Instruction limit reached!
% 10.63/2.82 % (11307)------------------------------
% 10.63/2.82 % (11307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.63/2.82 % (11307)Termination reason: Unknown
% 10.63/2.82 % (11307)Termination phase: Saturation
% 10.63/2.82
% 10.63/2.82 % (11307)Memory used [KB]: 6524
% 10.63/2.82 % (11307)Time elapsed: 0.089 s
% 10.63/2.82 % (11307)Instructions burned: 295 (million)
% 10.63/2.82 % (11307)------------------------------
% 10.63/2.82 % (11307)------------------------------
% 10.63/2.82 % (11309)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_10851 for (2983ds/371Mi)
% 10.63/2.83 % (11310)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_10851 for (2982ds/1827Mi)
% 10.63/2.85 % (11304)Instruction limit reached!
% 10.63/2.85 % (11304)------------------------------
% 10.63/2.85 % (11304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.63/2.85 % (11304)Termination reason: Unknown
% 10.63/2.85 % (11304)Termination phase: Saturation
% 10.63/2.85
% 10.63/2.85 % (11304)Memory used [KB]: 6780
% 10.63/2.85 % (11304)Time elapsed: 0.246 s
% 10.63/2.85 % (11304)Instructions burned: 833 (million)
% 10.63/2.85 % (11304)------------------------------
% 10.63/2.85 % (11304)------------------------------
% 10.63/2.86 % (11311)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_10851 for (2982ds/70Mi)
% 10.63/2.88 % (11311)Instruction limit reached!
% 10.63/2.88 % (11311)------------------------------
% 10.63/2.88 % (11311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.63/2.88 % (11311)Termination reason: Unknown
% 10.63/2.88 % (11311)Termination phase: Saturation
% 10.63/2.88
% 10.63/2.88 % (11311)Memory used [KB]: 1663
% 10.63/2.88 % (11311)Time elapsed: 0.021 s
% 10.63/2.88 % (11311)Instructions burned: 71 (million)
% 10.63/2.88 % (11311)------------------------------
% 10.63/2.88 % (11311)------------------------------
% 10.63/2.89 % (11305)Instruction limit reached!
% 10.63/2.89 % (11305)------------------------------
% 10.63/2.89 % (11305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.63/2.89 % (11305)Termination reason: Unknown
% 10.63/2.89 % (11305)Termination phase: Saturation
% 10.63/2.89
% 10.63/2.89 % (11305)Memory used [KB]: 11641
% 10.63/2.89 % (11305)Time elapsed: 0.214 s
% 10.63/2.89 % (11305)Instructions burned: 668 (million)
% 10.63/2.89 % (11305)------------------------------
% 10.63/2.89 % (11305)------------------------------
% 10.63/2.89 % (11312)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_10851 for (2982ds/316Mi)
% 11.30/2.90 % (11313)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_10851 for (2982ds/932Mi)
% 11.30/2.93 % (11309)Instruction limit reached!
% 11.30/2.93 % (11309)------------------------------
% 11.30/2.93 % (11309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.30/2.93 % (11309)Termination reason: Unknown
% 11.30/2.93 % (11309)Termination phase: Saturation
% 11.30/2.93
% 11.30/2.93 % (11309)Memory used [KB]: 6524
% 11.30/2.93 % (11309)Time elapsed: 0.117 s
% 11.30/2.93 % (11309)Instructions burned: 374 (million)
% 11.30/2.93 % (11309)------------------------------
% 11.30/2.93 % (11309)------------------------------
% 11.30/2.94 % (11314)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_10851 for (2981ds/4714Mi)
% 11.30/2.98 % (11312)Instruction limit reached!
% 11.30/2.98 % (11312)------------------------------
% 11.30/2.98 % (11312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.30/2.98 % (11312)Termination reason: Unknown
% 11.30/2.98 % (11312)Termination phase: Saturation
% 11.30/2.98
% 11.30/2.98 % (11312)Memory used [KB]: 6908
% 11.30/2.98 % (11312)Time elapsed: 0.093 s
% 11.30/2.98 % (11312)Instructions burned: 317 (million)
% 11.30/2.98 % (11312)------------------------------
% 11.30/2.98 % (11312)------------------------------
% 11.30/2.99 % (11315)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_10851 for (2981ds/8250Mi)
% 15.32/3.15 % (11313)Instruction limit reached!
% 15.32/3.15 % (11313)------------------------------
% 15.32/3.15 % (11313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.32/3.15 % (11313)Termination reason: Unknown
% 15.32/3.15 % (11313)Termination phase: Saturation
% 15.32/3.15
% 15.32/3.15 % (11313)Memory used [KB]: 6524
% 15.32/3.15 % (11313)Time elapsed: 0.256 s
% 15.32/3.15 % (11313)Instructions burned: 933 (million)
% 15.32/3.15 % (11313)------------------------------
% 15.32/3.15 % (11313)------------------------------
% 15.32/3.16 % (11316)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_10851 for (2979ds/770Mi)
% 16.38/3.37 % (11310)Instruction limit reached!
% 16.38/3.37 % (11310)------------------------------
% 16.38/3.37 % (11310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.38/3.37 % (11310)Termination reason: Unknown
% 16.38/3.37 % (11310)Termination phase: Saturation
% 16.38/3.37
% 16.38/3.37 % (11310)Memory used [KB]: 8187
% 16.38/3.37 % (11310)Time elapsed: 0.546 s
% 16.38/3.37 % (11310)Instructions burned: 1829 (million)
% 16.38/3.37 % (11310)------------------------------
% 16.38/3.37 % (11310)------------------------------
% 16.38/3.38 % (11317)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_10851 for (2977ds/794Mi)
% 16.97/3.40 % (11316)Instruction limit reached!
% 16.97/3.40 % (11316)------------------------------
% 16.97/3.40 % (11316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.97/3.40 % (11316)Termination reason: Unknown
% 16.97/3.40 % (11316)Termination phase: Saturation
% 16.97/3.40
% 16.97/3.40 % (11316)Memory used [KB]: 7036
% 16.97/3.40 % (11316)Time elapsed: 0.262 s
% 16.97/3.40 % (11316)Instructions burned: 771 (million)
% 16.97/3.40 % (11316)------------------------------
% 16.97/3.40 % (11316)------------------------------
% 16.97/3.41 % (11318)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_10851 for (2977ds/464Mi)
% 16.97/3.41 % (11292)Instruction limit reached!
% 16.97/3.41 % (11292)------------------------------
% 16.97/3.41 % (11292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.97/3.41 % (11292)Termination reason: Unknown
% 16.97/3.41 % (11292)Termination phase: Saturation
% 16.97/3.41
% 16.97/3.41 % (11292)Memory used [KB]: 9978
% 16.97/3.41 % (11292)Time elapsed: 1.321 s
% 16.97/3.41 % (11292)Instructions burned: 5207 (million)
% 16.97/3.41 % (11292)------------------------------
% 16.97/3.41 % (11292)------------------------------
% 16.97/3.42 % (11319)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_10851 for (2977ds/1376Mi)
% 16.97/3.45 % (11288)Instruction limit reached!
% 16.97/3.45 % (11288)------------------------------
% 16.97/3.45 % (11288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.97/3.45 % (11288)Termination reason: Unknown
% 16.97/3.45 % (11288)Termination phase: Saturation
% 16.97/3.45
% 16.97/3.45 % (11288)Memory used [KB]: 9338
% 16.97/3.45 % (11288)Time elapsed: 1.353 s
% 16.97/3.45 % (11288)Instructions burned: 4436 (million)
% 16.97/3.45 % (11288)------------------------------
% 16.97/3.45 % (11288)------------------------------
% 16.97/3.46 % (11320)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_10851 for (2976ds/906Mi)
% 17.61/3.51 % (11294)Instruction limit reached!
% 17.61/3.51 % (11294)------------------------------
% 17.61/3.51 % (11294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.61/3.51 % (11294)Termination reason: Unknown
% 17.61/3.51 % (11294)Termination phase: Saturation
% 17.61/3.51
% 17.61/3.51 % (11294)Memory used [KB]: 11001
% 17.61/3.51 % (11294)Time elapsed: 1.305 s
% 17.61/3.51 % (11294)Instructions burned: 4350 (million)
% 17.61/3.51 % (11294)------------------------------
% 17.61/3.51 % (11294)------------------------------
% 17.61/3.53 % (11321)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_10851 for (2975ds/434Mi)
% 17.61/3.55 % (11318)Instruction limit reached!
% 17.61/3.55 % (11318)------------------------------
% 17.61/3.55 % (11318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.61/3.55 % (11318)Termination reason: Unknown
% 17.61/3.55 % (11318)Termination phase: Saturation
% 17.61/3.55
% 17.61/3.55 % (11318)Memory used [KB]: 6524
% 17.61/3.55 % (11318)Time elapsed: 0.168 s
% 17.61/3.55 % (11318)Instructions burned: 466 (million)
% 17.61/3.55 % (11318)------------------------------
% 17.61/3.55 % (11318)------------------------------
% 17.61/3.56 % (11322)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_10851 for (2975ds/865Mi)
% 17.99/3.63 % (11317)Instruction limit reached!
% 17.99/3.63 % (11317)------------------------------
% 17.99/3.63 % (11317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.99/3.63 % (11317)Termination reason: Unknown
% 17.99/3.63 % (11317)Termination phase: Saturation
% 17.99/3.63
% 17.99/3.63 % (11317)Memory used [KB]: 2942
% 17.99/3.63 % (11317)Time elapsed: 0.269 s
% 17.99/3.63 % (11317)Instructions burned: 795 (million)
% 17.99/3.63 % (11317)------------------------------
% 17.99/3.63 % (11317)------------------------------
% 17.99/3.64 % (11323)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_10851 for (2974ds/593Mi)
% 17.99/3.66 % (11321)Instruction limit reached!
% 17.99/3.66 % (11321)------------------------------
% 17.99/3.66 % (11321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.99/3.66 % (11321)Termination reason: Unknown
% 17.99/3.66 % (11321)Termination phase: Saturation
% 17.99/3.66
% 17.99/3.66 % (11321)Memory used [KB]: 6780
% 17.99/3.66 % (11321)Time elapsed: 0.137 s
% 17.99/3.66 % (11321)Instructions burned: 436 (million)
% 17.99/3.66 % (11321)------------------------------
% 17.99/3.66 % (11321)------------------------------
% 17.99/3.67 % (11324)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_10851 for (2974ds/443Mi)
% 18.60/3.76 % (11320)Instruction limit reached!
% 18.60/3.76 % (11320)------------------------------
% 18.60/3.76 % (11320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.60/3.76 % (11320)Termination reason: Unknown
% 18.60/3.76 % (11320)Termination phase: Saturation
% 18.60/3.76
% 18.60/3.76 % (11320)Memory used [KB]: 9722
% 18.60/3.76 % (11320)Time elapsed: 0.300 s
% 18.60/3.76 % (11320)Instructions burned: 907 (million)
% 18.60/3.76 % (11320)------------------------------
% 18.60/3.76 % (11320)------------------------------
% 18.60/3.77 % (11325)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_10851 for (2973ds/594Mi)
% 19.10/3.80 % (11324)Instruction limit reached!
% 19.10/3.80 % (11324)------------------------------
% 19.10/3.80 % (11324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.10/3.80 % (11324)Termination reason: Unknown
% 19.10/3.80 % (11324)Termination phase: Saturation
% 19.10/3.80
% 19.10/3.80 % (11324)Memory used [KB]: 6652
% 19.10/3.80 % (11324)Time elapsed: 0.134 s
% 19.10/3.80 % (11324)Instructions burned: 443 (million)
% 19.10/3.80 % (11324)------------------------------
% 19.10/3.80 % (11324)------------------------------
% 19.10/3.81 % (11326)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_10851 for (2973ds/327Mi)
% 19.10/3.81 % (11319)Instruction limit reached!
% 19.10/3.81 % (11319)------------------------------
% 19.10/3.81 % (11319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.10/3.81 % (11319)Termination reason: Unknown
% 19.10/3.81 % (11319)Termination phase: Saturation
% 19.10/3.81
% 19.10/3.81 % (11319)Memory used [KB]: 9083
% 19.10/3.81 % (11319)Time elapsed: 0.419 s
% 19.10/3.81 % (11319)Instructions burned: 1377 (million)
% 19.10/3.81 % (11319)------------------------------
% 19.10/3.81 % (11319)------------------------------
% 19.10/3.82 % (11323)Instruction limit reached!
% 19.10/3.82 % (11323)------------------------------
% 19.10/3.82 % (11323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.10/3.82 % (11323)Termination reason: Unknown
% 19.10/3.82 % (11323)Termination phase: Saturation
% 19.10/3.82
% 19.10/3.82 % (11323)Memory used [KB]: 7164
% 19.10/3.82 % (11323)Time elapsed: 0.183 s
% 19.10/3.82 % (11323)Instructions burned: 594 (million)
% 19.10/3.82 % (11323)------------------------------
% 19.10/3.82 % (11323)------------------------------
% 19.10/3.82 % (11322)Instruction limit reached!
% 19.10/3.82 % (11322)------------------------------
% 19.10/3.82 % (11322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.10/3.82 % (11322)Termination reason: Unknown
% 19.10/3.82 % (11322)Termination phase: Saturation
% 19.10/3.82
% 19.10/3.82 % (11322)Memory used [KB]: 8571
% 19.10/3.82 % (11322)Time elapsed: 0.258 s
% 19.10/3.82 % (11322)Instructions burned: 865 (million)
% 19.10/3.82 % (11322)------------------------------
% 19.10/3.82 % (11322)------------------------------
% 19.10/3.82 % (11327)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_10851 for (2972ds/5411Mi)
% 19.10/3.83 % (11328)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_10851 for (2972ds/1762Mi)
% 19.10/3.83 % (11329)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_10851 for (2972ds/96Mi)
% 19.10/3.86 % (11329)Instruction limit reached!
% 19.10/3.86 % (11329)------------------------------
% 19.10/3.86 % (11329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.10/3.86 % (11329)Termination reason: Unknown
% 19.10/3.86 % (11329)Termination phase: Saturation
% 19.10/3.86
% 19.10/3.86 % (11329)Memory used [KB]: 5884
% 19.10/3.86 % (11329)Time elapsed: 0.031 s
% 19.10/3.86 % (11329)Instructions burned: 98 (million)
% 19.10/3.86 % (11329)------------------------------
% 19.10/3.86 % (11329)------------------------------
% 19.10/3.87 % (11330)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_10851 for (2972ds/503Mi)
% 20.34/3.91 % (11326)Instruction limit reached!
% 20.34/3.91 % (11326)------------------------------
% 20.34/3.91 % (11326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.34/3.91 % (11326)Termination reason: Unknown
% 20.34/3.91 % (11326)Termination phase: Saturation
% 20.34/3.91
% 20.34/3.91 % (11326)Memory used [KB]: 7036
% 20.34/3.91 % (11326)Time elapsed: 0.100 s
% 20.34/3.91 % (11326)Instructions burned: 327 (million)
% 20.34/3.91 % (11326)------------------------------
% 20.34/3.91 % (11326)------------------------------
% 20.34/3.92 % (11331)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_10851 for (2972ds/90Mi)
% 20.34/3.94 % (11325)Instruction limit reached!
% 20.34/3.94 % (11325)------------------------------
% 20.34/3.94 % (11325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.34/3.94 % (11325)Termination reason: Unknown
% 20.34/3.94 % (11325)Termination phase: Saturation
% 20.34/3.94
% 20.34/3.94 % (11325)Memory used [KB]: 6908
% 20.34/3.94 % (11325)Time elapsed: 0.178 s
% 20.34/3.94 % (11325)Instructions burned: 596 (million)
% 20.34/3.94 % (11325)------------------------------
% 20.34/3.94 % (11325)------------------------------
% 20.34/3.95 % (11331)Instruction limit reached!
% 20.34/3.95 % (11331)------------------------------
% 20.34/3.95 % (11331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.34/3.95 % (11331)Termination reason: Unknown
% 20.34/3.95 % (11331)Termination phase: Saturation
% 20.34/3.95
% 20.34/3.95 % (11331)Memory used [KB]: 5884
% 20.34/3.95 % (11331)Time elapsed: 0.031 s
% 20.34/3.95 % (11331)Instructions burned: 92 (million)
% 20.34/3.95 % (11331)------------------------------
% 20.34/3.95 % (11331)------------------------------
% 20.34/3.95 % (11332)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_10851 for (2971ds/593Mi)
% 20.34/3.96 % (11333)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_10851 for (2971ds/1512Mi)
% 20.34/4.02 % (11330)Instruction limit reached!
% 20.34/4.02 % (11330)------------------------------
% 20.34/4.02 % (11330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.34/4.02 % (11330)Termination reason: Unknown
% 20.34/4.02 % (11330)Termination phase: Saturation
% 20.34/4.02
% 20.34/4.02 % (11330)Memory used [KB]: 6908
% 20.34/4.02 % (11330)Time elapsed: 0.158 s
% 20.34/4.02 % (11330)Instructions burned: 504 (million)
% 20.34/4.02 % (11330)------------------------------
% 20.34/4.02 % (11330)------------------------------
% 21.61/4.04 % (11334)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_10851 for (2971ds/569Mi)
% 22.23/4.13 % (11332)Instruction limit reached!
% 22.23/4.13 % (11332)------------------------------
% 22.23/4.13 % (11332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.23/4.13 % (11332)Termination reason: Unknown
% 22.23/4.13 % (11332)Termination phase: Saturation
% 22.23/4.13
% 22.23/4.13 % (11332)Memory used [KB]: 7164
% 22.23/4.13 % (11332)Time elapsed: 0.177 s
% 22.23/4.13 % (11332)Instructions burned: 593 (million)
% 22.23/4.13 % (11332)------------------------------
% 22.23/4.13 % (11332)------------------------------
% 22.23/4.14 % (11335)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_10851 for (2969ds/501Mi)
% 22.23/4.16 % (11328)First to succeed.
% 22.23/4.17 % (11328)Refutation found. Thanks to Tanya!
% 22.23/4.17 % SZS status Theorem for DTF2THF_10851
% 22.23/4.17 % SZS output start Proof for DTF2THF_10851
% 22.23/4.17 thf(type_def_5, type, a: $tType).
% 22.23/4.17 thf(func_def_0, type, a: $tType).
% 22.23/4.17 thf(func_def_1, type, cK: (a > $o) > a > $o).
% 22.23/4.17 thf(func_def_15, type, sP0: $o > $o).
% 22.23/4.17 thf(func_def_17, type, ph2: !>[X0: $tType]:(X0)).
% 22.23/4.17 thf(func_def_18, type, sK3: a).
% 22.23/4.17 thf(func_def_19, type, sK4: (a > $o) > (a > $o) > a).
% 22.23/4.17 thf(func_def_20, type, sK5: a).
% 22.23/4.17 thf(func_def_21, type, sK6: a > $o).
% 22.23/4.17 thf(func_def_22, type, sK7: a).
% 22.23/4.17 thf(func_def_23, type, sK8: a > $o).
% 22.23/4.17 thf(f5013,plain,(
% 22.23/4.17 $false),
% 22.23/4.17 inference(avatar_sat_refutation,[status(thm)],[f77,f3152,f5012])).
% 22.23/4.17 thf(f5012,plain,(
% 22.23/4.17 ~spl1_2),
% 22.23/4.17 inference(avatar_contradiction_clause,[status(thm)],[f5011])).
% 22.23/4.17 thf(f5011,plain,(
% 22.23/4.17 $false | ~spl1_2),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f5010])).
% 22.23/4.17 thf(f5010,plain,(
% 22.23/4.17 ($false = $true) | ~spl1_2),
% 22.23/4.17 inference(backward_demodulation,[status(thm)],[f3851,f4946])).
% 22.23/4.17 thf(f4946,plain,(
% 22.23/4.17 ((!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ sK8))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ sK8)))) @ Y0)))) = $false) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f4940])).
% 22.23/4.17 thf(f4940,plain,(
% 22.23/4.17 ($false = ($true & (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ sK8))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ sK8)))) @ Y0)))))) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f4539,f4677])).
% 22.23/4.17 thf(f4677,plain,(
% 22.23/4.17 ($true = (cK @ (cK @ (cK @ (cK @ sK8))) @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f4671])).
% 22.23/4.17 thf(f4671,plain,(
% 22.23/4.17 ($true = ($true => (cK @ (cK @ (cK @ (cK @ sK8))) @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f3850,f4500])).
% 22.23/4.17 thf(f4500,plain,(
% 22.23/4.17 ($true = (cK @ (cK @ (cK @ sK8)) @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f4495])).
% 22.23/4.17 thf(f4495,plain,(
% 22.23/4.17 (($true => (cK @ (cK @ (cK @ sK8)) @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))) = $true) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f3555,f4393])).
% 22.23/4.17 thf(f4393,plain,(
% 22.23/4.17 ($true = (cK @ (cK @ sK8) @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f4383])).
% 22.23/4.17 thf(f4383,plain,(
% 22.23/4.17 ($true = ($true => (cK @ (cK @ sK8) @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f3391,f4374])).
% 22.23/4.17 thf(f4374,plain,(
% 22.23/4.17 ($true = (cK @ sK8 @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f4372])).
% 22.23/4.17 thf(f4372,plain,(
% 22.23/4.17 ($true = ($true => (cK @ sK8 @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f3239,f4370])).
% 22.23/4.17 thf(f4370,plain,(
% 22.23/4.17 ((sK8 @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $true) | ~spl1_2),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f4369])).
% 22.23/4.17 thf(f4369,plain,(
% 22.23/4.17 ($false = $true) | ((sK8 @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $true) | ~spl1_2),
% 22.23/4.17 inference(forward_demodulation,[status(thm)],[f4349,f3191])).
% 22.23/4.17 thf(f3191,plain,(
% 22.23/4.17 ($true = (sK8 @ sK3)) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f3190])).
% 22.23/4.17 thf(f3190,plain,(
% 22.23/4.17 (($true & (sK8 @ sK3)) = $true) | ~spl1_2),
% 22.23/4.17 inference(backward_demodulation,[status(thm)],[f3158,f3178])).
% 22.23/4.17 thf(f3178,plain,(
% 22.23/4.17 ($true = (!! @ a @ (^[Y0 : a]: ((sK8 @ Y0) => (cK @ sK8 @ Y0))))) | ~spl1_2),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f3158])).
% 22.23/4.17 thf(f3158,plain,(
% 22.23/4.17 ($true = ((!! @ a @ (^[Y0 : a]: ((sK8 @ Y0) => (cK @ sK8 @ Y0)))) & (sK8 @ sK3))) | ~spl1_2),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f3156])).
% 22.23/4.17 thf(f3156,plain,(
% 22.23/4.17 ($true = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))) @ sK8)) | ~spl1_2),
% 22.23/4.17 inference(sigma_clausification,[status(thm)],[f3155])).
% 22.23/4.17 thf(f3155,plain,(
% 22.23/4.17 ($false != (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))))) | ~spl1_2),
% 22.23/4.17 inference(forward_demodulation,[status(thm)],[f51,f76])).
% 22.23/4.17 thf(f76,plain,(
% 22.23/4.17 ($false = (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3)) | ~spl1_2),
% 22.23/4.17 inference(avatar_component_clause,[status(thm)],[f74])).
% 22.23/4.17 thf(f74,definition,(
% 22.23/4.17 spl1_2 <=> ($false = (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3))),
% 22.23/4.17 introduced(definition,[new_symbols(naming,[spl1_2])],[avatar_definition])).
% 22.23/4.17 thf(f51,plain,(
% 22.23/4.17 ((?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3)))) != (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3))),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f50])).
% 22.23/4.17 thf(f50,plain,(
% 22.23/4.17 (((?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3)))) = (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3)) = $false)),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f48])).
% 22.23/4.17 thf(f48,plain,(
% 22.23/4.17 (((^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))) @ sK3) = $false)),
% 22.23/4.17 inference(sigma_clausification,[status(thm)],[f19])).
% 22.23/4.17 thf(f19,plain,(
% 22.23/4.17 ($false = (!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0)))))),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f18])).
% 22.23/4.17 thf(f18,plain,(
% 22.23/4.17 ($false = $true) | ($false = (!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0)))))),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f17])).
% 22.23/4.17 thf(f17,plain,(
% 22.23/4.17 ((~ $true) = $true) | ($false = (!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0)))))),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f14])).
% 22.23/4.17 thf(f14,plain,(
% 22.23/4.17 ($false = (!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))))) | ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => $true)))),
% 22.23/4.17 inference(fool_paramodulation,[status(thm)],[f6])).
% 22.23/4.17 thf(f6,plain,(
% 22.23/4.17 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0)))))))),
% 22.23/4.17 inference(cnf_transformation,[status(thm)],[f5])).
% 22.23/4.17 thf(f5,plain,(
% 22.23/4.17 ($true = (~ ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0)))))))),
% 22.23/4.17 inference(fool_elimination,[status(thm)],[f4])).
% 22.23/4.17 thf(f4,plain,(
% 22.23/4.17 ~(! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : ((X1 @ X2) => (X0 @ X2)) => ! [X3 : a] : ((cK @ X1 @ X3) => (cK @ X0 @ X3))) => ! [X4 : a] : (? [X5 : a > $o] : ((X5 @ X4) & ! [X6 : a] : ((X5 @ X6) => (cK @ X5 @ X6))) <=> (cK @ (^[X7 : a] : (? [X8 : a > $o] : (! [X9 : a] : ((X8 @ X9) => (cK @ X8 @ X9)) & (X8 @ X7)))) @ X4)))),
% 22.23/4.17 inference(rectify,[status(thm)],[f2])).
% 22.23/4.17 thf(f2,negated_conjecture,(
% 22.23/4.17 ~(! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : ((X1 @ X2) => (X0 @ X2)) => ! [X2 : a] : ((cK @ X1 @ X2) => (cK @ X0 @ X2))) => ! [X2 : a] : (? [X4 : a > $o] : ((X4 @ X2) & ! [X3 : a] : ((X4 @ X3) => (cK @ X4 @ X3))) <=> (cK @ (^[X3 : a] : (? [X4 : a > $o] : (! [X5 : a] : ((X4 @ X5) => (cK @ X4 @ X5)) & (X4 @ X3)))) @ X2)))),
% 22.23/4.17 inference(negated_conjecture,[status(cth)],[f1])).
% 22.23/4.17 thf(f1,conjecture,(
% 22.23/4.17 ! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : ((X1 @ X2) => (X0 @ X2)) => ! [X2 : a] : ((cK @ X1 @ X2) => (cK @ X0 @ X2))) => ! [X2 : a] : (? [X4 : a > $o] : ((X4 @ X2) & ! [X3 : a] : ((X4 @ X3) => (cK @ X4 @ X3))) <=> (cK @ (^[X3 : a] : (? [X4 : a > $o] : (! [X5 : a] : ((X4 @ X5) => (cK @ X4 @ X5)) & (X4 @ X3)))) @ X2))),
% 22.23/4.17 file('/export/starexec/sandbox/tmp/tmp.HOFarZ0MuG/DTF2THF_10851.p',cTHM116_C_pme)).
% 22.23/4.17 thf(f4349,plain,(
% 22.23/4.17 ((sK8 @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $true) | ($false = (sK8 @ sK3)) | ~spl1_2),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f4291])).
% 22.23/4.17 thf(f4291,plain,(
% 22.23/4.17 ($false = (sK8 @ sK3)) | ((sK8 @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $true) | ($false = $true) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f3311,f76])).
% 22.23/4.17 thf(f3311,plain,(
% 22.23/4.17 ( ! [X0 : a,X1 : a > $o] : (($true = (sK8 @ (sK4 @ sK8 @ X1))) | ((cK @ X1 @ X0) = $true) | ((sK8 @ X0) = $false)) ) | ~spl1_2),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f3292])).
% 22.23/4.17 thf(f3292,plain,(
% 22.23/4.17 ( ! [X0 : a,X1 : a > $o] : (((cK @ X1 @ X0) = $true) | ($true = (sK8 @ (sK4 @ sK8 @ X1))) | ((sK8 @ X0) = $false) | ($false = $true)) ) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f1045,f3269])).
% 22.23/4.17 thf(f3269,plain,(
% 22.23/4.17 ( ! [X1 : a] : (((cK @ sK8 @ X1) = $true) | ($false = (sK8 @ X1))) ) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f3245])).
% 22.23/4.17 thf(f3245,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ($true => (cK @ sK8 @ X1))) | ($false = (sK8 @ X1))) ) | ~spl1_2),
% 22.23/4.17 inference(fool_paramodulation,[status(thm)],[f3239])).
% 22.23/4.17 thf(f1045,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($false = (cK @ X1 @ X3)) | ($true = (X1 @ (sK4 @ X1 @ X2))) | ((cK @ X2 @ X3) = $true)) )),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f107])).
% 22.23/4.17 thf(f107,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (((cK @ X2 @ X3) = $true) | ($false = ((X1 @ (sK4 @ X1 @ X2)) => (X2 @ (sK4 @ X1 @ X2)))) | ($false = (cK @ X1 @ X3))) )),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f86])).
% 22.23/4.17 thf(f86,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : ((((^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0))) @ (sK4 @ X1 @ X2)) = $false) | ((cK @ X2 @ X3) = $true) | ($false = (cK @ X1 @ X3))) )),
% 22.23/4.17 inference(sigma_clausification,[status(thm)],[f63])).
% 22.23/4.17 thf(f63,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0))))) | ((cK @ X2 @ X3) = $true) | ($false = (cK @ X1 @ X3))) )),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f58])).
% 22.23/4.17 thf(f58,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($true = ((cK @ X1 @ X3) => (cK @ X2 @ X3))) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))))) )),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f53])).
% 22.23/4.17 thf(f53,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0))))) | ($true = ((^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0))) @ X3))) )),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f47])).
% 22.23/4.17 thf(f47,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X1 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0)))) = $true) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))))) )),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f43])).
% 22.23/4.17 thf(f43,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X1 : a > $o] : (($true = ($true => (!! @ a @ (^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0)))))) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))))) )),
% 22.23/4.17 inference(fool_paramodulation,[status(thm)],[f41])).
% 22.23/4.17 thf(f41,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X1 : a > $o] : ((((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X2 @ Y0)))) => (!! @ a @ (^[Y0 : a]: ((cK @ X1 @ Y0) => (cK @ X2 @ Y0))))) = $true)) )),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f39])).
% 22.23/4.17 thf(f39,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X1 : a > $o] : ((((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ a @ (^[Y1 : a]: ((cK @ X1 @ Y1) => (cK @ Y0 @ Y1)))))) @ X2) = $true)) )),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f38])).
% 22.23/4.17 thf(f38,plain,(
% 22.23/4.17 ( ! [X1 : a > $o] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ a @ (^[Y1 : a]: ((cK @ X1 @ Y1) => (cK @ Y0 @ Y1))))))))) )),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f36])).
% 22.23/4.17 thf(f36,plain,(
% 22.23/4.17 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2)))))))) @ X1) = $true)) )),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f29])).
% 22.23/4.17 thf(f29,plain,(
% 22.23/4.17 ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))))),
% 22.23/4.17 inference(not_proxy_clausification,[status(thm)],[f27])).
% 22.23/4.17 thf(f27,plain,(
% 22.23/4.17 ($false = (~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2)))))))))))),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f26])).
% 22.23/4.17 thf(f26,plain,(
% 22.23/4.17 ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => $false))),
% 22.23/4.17 inference(backward_demodulation,[status(thm)],[f12,f19])).
% 22.23/4.17 thf(f12,plain,(
% 22.23/4.17 (((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ a @ (^[Y2 : a]: ((cK @ Y0 @ Y2) => (cK @ Y1 @ Y2))))))))) => (!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))))) = $false)),
% 22.23/4.17 inference(not_proxy_clausification,[status(thm)],[f6])).
% 22.23/4.17 thf(f3239,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((((sK8 @ X1) => (cK @ sK8 @ X1)) = $true)) ) | ~spl1_2),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f3231])).
% 22.23/4.17 thf(f3231,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((sK8 @ Y0) => (cK @ sK8 @ Y0))) @ X1))) ) | ~spl1_2),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f3178])).
% 22.23/4.17 thf(f3391,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ((cK @ sK8 @ X1) => (cK @ (cK @ sK8) @ X1)))) ) | ~spl1_2),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f3382])).
% 22.23/4.17 thf(f3382,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((((^[Y0 : a]: ((cK @ sK8 @ Y0) => (cK @ (cK @ sK8) @ Y0))) @ X1) = $true)) ) | ~spl1_2),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f3243])).
% 22.23/4.17 thf(f3243,plain,(
% 22.23/4.17 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ sK8 @ Y0) => (cK @ (cK @ sK8) @ Y0))))) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f3235])).
% 22.23/4.17 thf(f3235,plain,(
% 22.23/4.17 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((cK @ sK8 @ Y0) => (cK @ (cK @ sK8) @ Y0)))))) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f41,f3178])).
% 22.23/4.17 thf(f3555,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((((cK @ (cK @ sK8) @ X1) => (cK @ (cK @ (cK @ sK8)) @ X1)) = $true)) ) | ~spl1_2),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f3546])).
% 22.23/4.17 thf(f3546,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((((^[Y0 : a]: ((cK @ (cK @ sK8) @ Y0) => (cK @ (cK @ (cK @ sK8)) @ Y0))) @ X1) = $true)) ) | ~spl1_2),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f3393])).
% 22.23/4.17 thf(f3393,plain,(
% 22.23/4.17 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK8) @ Y0) => (cK @ (cK @ (cK @ sK8)) @ Y0))))) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f3387])).
% 22.23/4.17 thf(f3387,plain,(
% 22.23/4.17 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK8) @ Y0) => (cK @ (cK @ (cK @ sK8)) @ Y0)))))) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f41,f3243])).
% 22.23/4.17 thf(f3850,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((((cK @ (cK @ (cK @ sK8)) @ X1) => (cK @ (cK @ (cK @ (cK @ sK8))) @ X1)) = $true)) ) | ~spl1_2),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f3841])).
% 22.23/4.17 thf(f3841,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((cK @ (cK @ (cK @ sK8)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK8))) @ Y0))) @ X1))) ) | ~spl1_2),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f3559])).
% 22.23/4.17 thf(f3559,plain,(
% 22.23/4.17 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK8)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK8))) @ Y0))))) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f3551])).
% 22.23/4.17 thf(f3551,plain,(
% 22.23/4.17 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK8)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK8))) @ Y0)))))) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f41,f3393])).
% 22.23/4.17 thf(f4539,plain,(
% 22.23/4.17 ( ! [X1 : a > $o] : (($false = ((X1 @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (cK @ X1 @ Y0))))))) ) | ~spl1_2),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f4536])).
% 22.23/4.17 thf(f4536,plain,(
% 22.23/4.17 ( ! [X1 : a > $o] : (($false = ((^[Y0 : a > $o]: ((Y0 @ (sK4 @ sK8 @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))) @ X1))) ) | ~spl1_2),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f4248])).
% 22.23/4.17 thf(f4248,plain,(
% 22.23/4.17 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ (sK4 @ sK8 @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))) | ~spl1_2),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f4247])).
% 22.23/4.17 thf(f4247,plain,(
% 22.23/4.17 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ (sK4 @ sK8 @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))) | ($false = $true) | ~spl1_2),
% 22.23/4.17 inference(forward_demodulation,[status(thm)],[f4245,f3191])).
% 22.23/4.17 thf(f4245,plain,(
% 22.23/4.17 ($false = (sK8 @ sK3)) | ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ (sK4 @ sK8 @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))))) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))) | ~spl1_2),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f4244])).
% 22.23/4.17 thf(f4244,plain,(
% 22.23/4.17 ($false = (sK8 @ sK3)) | (((^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $false) | ~spl1_2),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f4164])).
% 22.23/4.17 thf(f4164,plain,(
% 22.23/4.17 ($false = $true) | ($false = (sK8 @ sK3)) | (((^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ (sK4 @ sK8 @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))) = $false) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f76,f3303])).
% 22.23/4.17 thf(f3303,plain,(
% 22.23/4.17 ( ! [X0 : a,X1 : a > $o] : (($false = (X1 @ (sK4 @ sK8 @ X1))) | ((cK @ X1 @ X0) = $true) | ((sK8 @ X0) = $false)) ) | ~spl1_2),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f3283])).
% 22.23/4.17 thf(f3283,plain,(
% 22.23/4.17 ( ! [X0 : a,X1 : a > $o] : (((sK8 @ X0) = $false) | ((cK @ X1 @ X0) = $true) | ($false = (X1 @ (sK4 @ sK8 @ X1))) | ($false = $true)) ) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f3269,f1044])).
% 22.23/4.17 thf(f1044,plain,(
% 22.23/4.17 ( ! [X2 : a > $o,X3 : a,X1 : a > $o] : (($false = (cK @ X1 @ X3)) | ($false = (X2 @ (sK4 @ X1 @ X2))) | ((cK @ X2 @ X3) = $true)) )),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f107])).
% 22.23/4.17 thf(f3851,plain,(
% 22.23/4.17 ((!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ sK8))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ sK8)))) @ Y0)))) = $true) | ~spl1_2),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f3846])).
% 22.23/4.17 thf(f3846,plain,(
% 22.23/4.17 (($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ sK8))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ sK8)))) @ Y0))))) = $true) | ~spl1_2),
% 22.23/4.17 inference(superposition,[status(thm)],[f41,f3559])).
% 22.23/4.17 thf(f3152,plain,(
% 22.23/4.17 spl1_1),
% 22.23/4.17 inference(avatar_contradiction_clause,[status(thm)],[f3151])).
% 22.23/4.17 thf(f3151,plain,(
% 22.23/4.17 $false | spl1_1),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f3150])).
% 22.23/4.17 thf(f3150,plain,(
% 22.23/4.17 ($false = $true) | spl1_1),
% 22.23/4.17 inference(backward_demodulation,[status(thm)],[f1715,f3089])).
% 22.23/4.17 thf(f3089,plain,(
% 22.23/4.17 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ (cK @ sK6))))) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f3081])).
% 22.23/4.17 thf(f3081,plain,(
% 22.23/4.17 ($false = ($true & (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ (cK @ sK6))))) @ Y0)))))) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f3018,f2907])).
% 22.23/4.17 thf(f2907,plain,(
% 22.23/4.17 ($true = (cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ sK7)) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f2890])).
% 22.23/4.17 thf(f2890,plain,(
% 22.23/4.17 ($true = ($true => (cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ sK7))) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f1716,f2845])).
% 22.23/4.17 thf(f2845,plain,(
% 22.23/4.17 ($true = (cK @ (cK @ (cK @ (cK @ sK6))) @ sK7)) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f2833])).
% 22.23/4.17 thf(f2833,plain,(
% 22.23/4.17 ($true = ($true => (cK @ (cK @ (cK @ (cK @ sK6))) @ sK7))) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f1018,f2760])).
% 22.23/4.17 thf(f2760,plain,(
% 22.23/4.17 ($true = (cK @ (cK @ (cK @ sK6)) @ sK7)) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f2744])).
% 22.23/4.17 thf(f2744,plain,(
% 22.23/4.17 ($true = ($true => (cK @ (cK @ (cK @ sK6)) @ sK7))) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f861,f2733])).
% 22.23/4.17 thf(f2733,plain,(
% 22.23/4.17 ($true = (cK @ (cK @ sK6) @ sK7)) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f2717])).
% 22.23/4.17 thf(f2717,plain,(
% 22.23/4.17 (($true => (cK @ (cK @ sK6) @ sK7)) = $true) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f662,f2405])).
% 22.23/4.17 thf(f2405,plain,(
% 22.23/4.17 ($true = (cK @ sK6 @ sK7)) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f2404])).
% 22.23/4.17 thf(f2404,plain,(
% 22.23/4.17 ($true = ($true => (cK @ sK6 @ sK7))) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f548,f2173])).
% 22.23/4.17 thf(f2173,plain,(
% 22.23/4.17 ($true = (sK6 @ sK7)) | spl1_1),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f2087])).
% 22.23/4.17 thf(f2087,plain,(
% 22.23/4.17 ($false = ((sK6 @ sK7) => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK7) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f2085])).
% 22.23/4.17 thf(f2085,plain,(
% 22.23/4.17 ($false = ((^[Y0 : a]: ((sK6 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))) @ sK7)) | spl1_1),
% 22.23/4.17 inference(sigma_clausification,[status(thm)],[f1669])).
% 22.23/4.17 thf(f1669,plain,(
% 22.23/4.17 ($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))) | spl1_1),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f1668])).
% 22.23/4.17 thf(f1668,plain,(
% 22.23/4.17 ($false = $true) | ($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))) | spl1_1),
% 22.23/4.17 inference(forward_demodulation,[status(thm)],[f1660,f378])).
% 22.23/4.17 thf(f378,plain,(
% 22.23/4.17 ($true = (sK6 @ sK5)) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f377])).
% 22.23/4.17 thf(f377,plain,(
% 22.23/4.17 ($true = ((sK6 @ sK5) & $true)) | spl1_1),
% 22.23/4.17 inference(backward_demodulation,[status(thm)],[f333,f352])).
% 22.23/4.17 thf(f352,plain,(
% 22.23/4.17 ((!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (cK @ sK6 @ Y0)))) = $true) | spl1_1),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f333])).
% 22.23/4.17 thf(f333,plain,(
% 22.23/4.17 ($true = ((sK6 @ sK5) & (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (cK @ sK6 @ Y0)))))) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f331])).
% 22.23/4.17 thf(f331,plain,(
% 22.23/4.17 ($true = ((^[Y0 : a > $o]: ((Y0 @ sK5) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))) @ sK6)) | spl1_1),
% 22.23/4.17 inference(sigma_clausification,[status(thm)],[f291])).
% 22.23/4.17 thf(f291,plain,(
% 22.23/4.17 ($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK5) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))) | spl1_1),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f288])).
% 22.23/4.17 thf(f288,plain,(
% 22.23/4.17 (((?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK5) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1))))))) => (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK5)) = $false) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f286])).
% 22.23/4.17 thf(f286,plain,(
% 22.23/4.17 (((^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))) => (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))) @ sK5) = $false) | spl1_1),
% 22.23/4.17 inference(sigma_clausification,[status(thm)],[f265])).
% 22.23/4.17 thf(f265,plain,(
% 22.23/4.17 ($false = (!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))) => (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f264])).
% 22.23/4.17 thf(f264,plain,(
% 22.23/4.17 ($false = (!! @ a @ (^[Y0 : a]: (((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f254])).
% 22.23/4.17 thf(f254,plain,(
% 22.23/4.17 ($false = $true) | ($false = (!! @ a @ (^[Y0 : a]: (((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f47,f231])).
% 22.23/4.17 thf(f231,plain,(
% 22.23/4.17 ($false = (!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (cK @ (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3))))))))) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f222])).
% 22.23/4.17 thf(f222,plain,(
% 22.23/4.17 (((!! @ a @ (^[Y0 : a]: ((cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0) => (cK @ (cK @ (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3))))))))) @ Y0)))) & $true) = $false) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f81,f85])).
% 22.23/4.17 thf(f85,plain,(
% 22.23/4.17 ($true = (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3)) | spl1_1),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f83])).
% 22.23/4.17 thf(f83,plain,(
% 22.23/4.17 ($true = (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3)) | ($false = $true) | spl1_1),
% 22.23/4.17 inference(backward_demodulation,[status(thm)],[f60,f80])).
% 22.23/4.17 thf(f80,plain,(
% 22.23/4.17 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))))) | spl1_1),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f79])).
% 22.23/4.17 thf(f79,plain,(
% 22.23/4.17 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))))) | ($true != $true) | spl1_1),
% 22.23/4.17 inference(fool_paramodulation,[status(thm)],[f72])).
% 22.23/4.17 thf(f72,plain,(
% 22.23/4.17 ($true != (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))))) | spl1_1),
% 22.23/4.17 inference(avatar_component_clause,[status(thm)],[f70])).
% 22.23/4.17 thf(f70,definition,(
% 22.23/4.17 spl1_1 <=> ($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3)))))),
% 22.23/4.17 introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition])).
% 22.23/4.17 thf(f60,plain,(
% 22.23/4.17 ($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))))) | ($true = (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3))),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f51])).
% 22.23/4.17 thf(f81,plain,(
% 22.23/4.17 ( ! [X1 : a > $o] : ((((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (cK @ X1 @ Y0)))) & (X1 @ sK3)) = $false)) ) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f78])).
% 22.23/4.17 thf(f78,plain,(
% 22.23/4.17 ( ! [X1 : a > $o] : (($false = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))) @ X1))) ) | spl1_1),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f72])).
% 22.23/4.17 thf(f1660,plain,(
% 22.23/4.17 ($false = (sK6 @ sK5)) | ($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f1659])).
% 22.23/4.17 thf(f1659,plain,(
% 22.23/4.17 ($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => ((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))))) | ($false = (sK6 @ sK5)) | spl1_1),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f1645])).
% 22.23/4.17 thf(f1645,plain,(
% 22.23/4.17 ($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => ((^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: ((Y2 @ Y1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (cK @ Y2 @ Y3)))))))) @ Y0))))) | ($false = (sK6 @ sK5)) | ($false = $true) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f615,f290])).
% 22.23/4.17 thf(f290,plain,(
% 22.23/4.17 ($false = (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK5)) | spl1_1),
% 22.23/4.17 inference(binary_proxy_clausification,[status(thm)],[f288])).
% 22.23/4.17 thf(f615,plain,(
% 22.23/4.17 ( ! [X0 : a,X1 : a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (X1 @ Y0))))) | ((cK @ X1 @ X0) = $true) | ($false = (sK6 @ X0))) ) | spl1_1),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f601])).
% 22.23/4.17 thf(f601,plain,(
% 22.23/4.17 ( ! [X0 : a,X1 : a > $o] : (((cK @ X1 @ X0) = $true) | ($false = $true) | ($false = (!! @ a @ (^[Y0 : a]: ((sK6 @ Y0) => (X1 @ Y0))))) | ($false = (sK6 @ X0))) ) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f596,f63])).
% 22.23/4.17 thf(f596,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = (cK @ sK6 @ X1)) | ($false = (sK6 @ X1))) ) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f583])).
% 22.23/4.17 thf(f583,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((($true => (cK @ sK6 @ X1)) = $true) | ($false = (sK6 @ X1))) ) | spl1_1),
% 22.23/4.17 inference(fool_paramodulation,[status(thm)],[f548])).
% 22.23/4.17 thf(f548,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ((sK6 @ X1) => (cK @ sK6 @ X1)))) ) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f522])).
% 22.23/4.17 thf(f522,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((sK6 @ Y0) => (cK @ sK6 @ Y0))) @ X1))) ) | spl1_1),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f352])).
% 22.23/4.17 thf(f662,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ((cK @ sK6 @ X1) => (cK @ (cK @ sK6) @ X1)))) ) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f628])).
% 22.23/4.17 thf(f628,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((((^[Y0 : a]: ((cK @ sK6 @ Y0) => (cK @ (cK @ sK6) @ Y0))) @ X1) = $true)) ) | spl1_1),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f553])).
% 22.23/4.17 thf(f553,plain,(
% 22.23/4.17 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ sK6 @ Y0) => (cK @ (cK @ sK6) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f530])).
% 22.23/4.17 thf(f530,plain,(
% 22.23/4.17 (($true => (!! @ a @ (^[Y0 : a]: ((cK @ sK6 @ Y0) => (cK @ (cK @ sK6) @ Y0))))) = $true) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f41,f352])).
% 22.23/4.17 thf(f861,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((((cK @ (cK @ sK6) @ X1) => (cK @ (cK @ (cK @ sK6)) @ X1)) = $true)) ) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f823])).
% 22.23/4.17 thf(f823,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ (cK @ (cK @ sK6)) @ Y0))) @ X1))) ) | spl1_1),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f649])).
% 22.23/4.17 thf(f649,plain,(
% 22.23/4.17 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ (cK @ (cK @ sK6)) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f637])).
% 22.23/4.17 thf(f637,plain,(
% 22.23/4.17 ($true = ($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ sK6) @ Y0) => (cK @ (cK @ (cK @ sK6)) @ Y0)))))) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f41,f553])).
% 22.23/4.17 thf(f1018,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ((cK @ (cK @ (cK @ sK6)) @ X1) => (cK @ (cK @ (cK @ (cK @ sK6))) @ X1)))) ) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f985])).
% 22.23/4.17 thf(f985,plain,(
% 22.23/4.17 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((cK @ (cK @ (cK @ sK6)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK6))) @ Y0))) @ X1))) ) | spl1_1),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f854])).
% 22.23/4.17 thf(f854,plain,(
% 22.23/4.17 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK6)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK6))) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f832])).
% 22.23/4.17 thf(f832,plain,(
% 22.23/4.17 (($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ sK6)) @ Y0) => (cK @ (cK @ (cK @ (cK @ sK6))) @ Y0))))) = $true) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f41,f649])).
% 22.23/4.17 thf(f1716,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((((cK @ (cK @ (cK @ (cK @ sK6))) @ X1) => (cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ X1)) = $true)) ) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f1679])).
% 22.23/4.17 thf(f1679,plain,(
% 22.23/4.17 ( ! [X1 : a] : ((((^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ sK6))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ Y0))) @ X1) = $true)) ) | spl1_1),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f1013])).
% 22.23/4.17 thf(f1013,plain,(
% 22.23/4.17 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ sK6))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f994])).
% 22.23/4.17 thf(f994,plain,(
% 22.23/4.17 (($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ sK6))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ Y0))))) = $true) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f41,f854])).
% 22.23/4.17 thf(f3018,plain,(
% 22.23/4.17 ( ! [X1 : a > $o] : (($false = ((X1 @ sK7) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (cK @ X1 @ Y0))))))) ) | spl1_1),
% 22.23/4.17 inference(beta_eta_normalization,[status(thm)],[f3015])).
% 22.23/4.17 thf(f3015,plain,(
% 22.23/4.17 ( ! [X1 : a > $o] : (($false = ((^[Y0 : a > $o]: ((Y0 @ sK7) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))) @ X1))) ) | spl1_1),
% 22.23/4.17 inference(pi_clausification,[status(thm)],[f2180])).
% 22.23/4.17 thf(f2180,plain,(
% 22.23/4.17 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK7) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))) | spl1_1),
% 22.23/4.17 inference(trivial_inequality_removal,[status(thm)],[f2179])).
% 22.23/4.17 thf(f2179,plain,(
% 22.23/4.17 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK7) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))) | ($false = $true) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f2175])).
% 22.23/4.17 thf(f2175,plain,(
% 22.23/4.17 ($false = ((sK6 @ sK7) => $true)) | ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((Y0 @ sK7) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))) | spl1_1),
% 22.23/4.17 inference(fool_paramodulation,[status(thm)],[f2087])).
% 22.23/4.17 thf(f1715,plain,(
% 22.23/4.17 ($true = (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ (cK @ sK6))))) @ Y0))))) | spl1_1),
% 22.23/4.17 inference(boolean_simplification,[status(thm)],[f1688])).
% 22.23/4.17 thf(f1688,plain,(
% 22.23/4.17 (($true => (!! @ a @ (^[Y0 : a]: ((cK @ (cK @ (cK @ (cK @ (cK @ sK6)))) @ Y0) => (cK @ (cK @ (cK @ (cK @ (cK @ (cK @ sK6))))) @ Y0))))) = $true) | spl1_1),
% 22.23/4.17 inference(superposition,[status(thm)],[f41,f1013])).
% 22.23/4.17 thf(f77,plain,(
% 22.23/4.17 ~spl1_1 | spl1_2),
% 22.23/4.17 inference(avatar_split_clause,[status(thm)],[f62,f74,f70])).
% 22.23/4.17 thf(f62,plain,(
% 22.23/4.17 ($true != (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (cK @ Y0 @ Y1)))) & (Y0 @ sK3))))) | ($false = (cK @ (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: ((Y1 @ Y0) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))) @ sK3))),
% 22.23/4.17 inference(fool_paramodulation,[status(thm)],[f51])).
% 22.23/4.17 % SZS output end Proof for DTF2THF_10851
% 22.23/4.17 % (11328)------------------------------
% 22.23/4.17 % (11328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.23/4.17 % (11328)Termination reason: Refutation
% 22.23/4.17
% 22.23/4.17 % (11328)Memory used [KB]: 7164
% 22.23/4.17 % (11328)Time elapsed: 0.339 s
% 22.23/4.17 % (11328)Instructions burned: 1134 (million)
% 22.23/4.17 % (11328)------------------------------
% 22.23/4.17 % (11328)------------------------------
% 22.23/4.17 % (10950)Success in time 3.037 s
%------------------------------------------------------------------------------