%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV252^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 09:40:40 AM UTC 2026
% Result : Theorem 21.79s 4.26s
% Output : Refutation 21.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 3
% Syntax : Number of formulae : 141 ( 18 unt; 0 typ; 2 def)
% Number of atoms : 1396 ( 206 equ; 0 cnn)
% Maximal formula atoms : 5 ( 9 avg)
% Number of connectives : 2672 ( 95 ~; 190 |; 122 &;1702 @)
% ( 5 <=>; 253 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 353 ( 353 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 9 con; 0-2 aty)
% ( 209 !!; 96 ??; 0 @@+; 0 @@-)
% Number of variables : 500 ( 388 ^; 106 !; 6 ?; 500 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_15,type,
sP0: $o > $o ).
thf(func_def_17,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
sK3: ( $i > $o ) > $i > $o ).
thf(func_def_20,type,
sK5: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_22,type,
sK7: $i > $o ).
thf(func_def_24,type,
sK9: $i > $o ).
thf(f4997,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f78,f3005,f4996]) ).
thf(f4996,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[status(thm)],[f4995]) ).
thf(f4995,plain,
( $false
| ~ spl1_1
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f4994]) ).
thf(f4994,plain,
( ( $true = $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(backward_demodulation,[status(thm)],[f4704,f4925]) ).
thf(f4925,plain,
( ( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4901]) ).
thf(f4901,plain,
( ( ( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
& $true )
= $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f4366,f4009]) ).
thf(f4009,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) ) ) @ Y0 ) ) ) )
| ~ spl1_1 ),
inference(boolean_simplification,[status(thm)],[f4006]) ).
thf(f4006,plain,
( ( ( $true
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) ) ) @ Y0 ) ) ) )
= $true )
| ~ spl1_1 ),
inference(superposition,[status(thm)],[f42,f3566]) ).
thf(f3566,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) ) @ Y0 ) ) )
= $true )
| ~ spl1_1 ),
inference(boolean_simplification,[status(thm)],[f3562]) ).
thf(f3562,plain,
( ( ( $true
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) ) @ Y0 ) ) ) )
= $true )
| ~ spl1_1 ),
inference(superposition,[status(thm)],[f42,f3432]) ).
thf(f3432,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) @ Y0 ) ) )
= $true )
| ~ spl1_1 ),
inference(boolean_simplification,[status(thm)],[f3427]) ).
thf(f3427,plain,
( ( ( $true
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) @ Y0 ) ) ) )
= $true )
| ~ spl1_1 ),
inference(superposition,[status(thm)],[f42,f3236]) ).
thf(f3236,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ sK9 ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) @ Y0 ) ) )
= $true )
| ~ spl1_1 ),
inference(boolean_simplification,[status(thm)],[f3233]) ).
thf(f3233,plain,
( ( $true
= ( $true
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ sK9 ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) @ Y0 ) ) ) ) )
| ~ spl1_1 ),
inference(superposition,[status(thm)],[f42,f3099]) ).
thf(f3099,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ sK9 @ Y0 )
=> ( sK3 @ ( sK3 @ sK9 ) @ Y0 ) ) ) )
| ~ spl1_1 ),
inference(boolean_simplification,[status(thm)],[f3096]) ).
thf(f3096,plain,
( ( ( $true
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ sK9 @ Y0 )
=> ( sK3 @ ( sK3 @ sK9 ) @ Y0 ) ) ) )
= $true )
| ~ spl1_1 ),
inference(superposition,[status(thm)],[f42,f3065]) ).
thf(f3065,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK9 @ Y0 )
=> ( sK3 @ sK9 @ Y0 ) ) ) )
| ~ spl1_1 ),
inference(boolean_simplification,[status(thm)],[f3064]) ).
thf(f3064,plain,
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK9 @ Y0 )
=> ( sK3 @ sK9 @ Y0 ) ) )
& $true )
= $true )
| ~ spl1_1 ),
inference(backward_demodulation,[status(thm)],[f3015,f3054]) ).
thf(f3054,plain,
( ( ( sK9 @ sK4 )
= $true )
| ~ spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f3015]) ).
thf(f3015,plain,
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK9 @ Y0 )
=> ( sK3 @ sK9 @ Y0 ) ) )
& ( sK9 @ sK4 ) )
= $true )
| ~ spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f3013]) ).
thf(f3013,plain,
( ( ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) )
@ sK9 )
= $true )
| ~ spl1_1 ),
inference(sigma_clausification,[status(thm)],[f72]) ).
thf(f72,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) ) )
= $true )
| ~ spl1_1 ),
inference(avatar_component_clause,[status(thm)],[f71]) ).
thf(f71,definition,
( spl1_1
<=> ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition]) ).
thf(f42,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ X1 @ Y0 )
=> ( sK3 @ X2 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f40]) ).
thf(f40,plain,
! [X2: $i > $o,X1: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ X1 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X1: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( sK3 @ X1 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f37]) ).
thf(f37,plain,
! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( sK3 @ Y0 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( sK3 @ Y0 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
( ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( sK3 @ Y0 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f20]) ).
thf(f20,plain,
( $false
= ( ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
= ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
= ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) ) )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f16]) ).
thf(f16,plain,
( ( ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
= ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) ) )
= $false )
| ( $true = $false ) ),
inference(boolean_simplification,[status(thm)],[f14]) ).
thf(f14,plain,
( ( ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
= ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) ) )
= $false )
| ( ( ~ $true ) = $true ) ),
inference(fool_paramodulation,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ~ ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
= ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
= ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
= ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y2 )
& ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
@ Y1 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ( ! [X1: $i > $o,X2: $i > $o] :
( ! [X3: $i] :
( ( X2 @ X3 )
=> ( X1 @ X3 ) )
=> ! [X4: $i] :
( ( X0 @ X2 @ X4 )
=> ( X0 @ X1 @ X4 ) ) )
& ! [X5: $i > $o,X6: $i > $o] :
( ! [X7: $i] :
( ( X6 @ X7 )
=> ( X5 @ X7 ) )
=> ! [X8: $i] :
( ( X0 @ X6 @ X8 )
=> ( X0 @ X5 @ X8 ) ) ) )
=> ! [X9: $i] :
( ? [X10: $i > $o] :
( ( X10 @ X9 )
& ! [X11: $i] :
( ( X10 @ X11 )
=> ( X0 @ X10 @ X11 ) ) )
<=> ( X0
@ ^ [X12: $i] :
? [X13: $i > $o] :
( ! [X14: $i] :
( ( X13 @ X14 )
=> ( X0 @ X13 @ X14 ) )
& ( X13 @ X12 ) )
@ X9 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ( ! [X2: $i > $o,X1: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X3: $i] :
( ( X0 @ X1 @ X3 )
=> ( X0 @ X2 @ X3 ) ) )
& ! [X2: $i > $o,X1: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X3: $i] :
( ( X0 @ X1 @ X3 )
=> ( X0 @ X2 @ X3 ) ) ) )
=> ! [X1: $i] :
( ? [X4: $i > $o] :
( ( X4 @ X1 )
& ! [X3: $i] :
( ( X4 @ X3 )
=> ( X0 @ X4 @ X3 ) ) )
<=> ( X0
@ ^ [X3: $i] :
? [X4: $i > $o] :
( ! [X5: $i] :
( ( X4 @ X5 )
=> ( X0 @ X4 @ X5 ) )
& ( X4 @ X3 ) )
@ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: ( $i > $o ) > $i > $o] :
( ( ! [X2: $i > $o,X1: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X3: $i] :
( ( X0 @ X1 @ X3 )
=> ( X0 @ X2 @ X3 ) ) )
& ! [X2: $i > $o,X1: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X3: $i] :
( ( X0 @ X1 @ X3 )
=> ( X0 @ X2 @ X3 ) ) ) )
=> ! [X1: $i] :
( ? [X4: $i > $o] :
( ( X4 @ X1 )
& ! [X3: $i] :
( ( X4 @ X3 )
=> ( X0 @ X4 @ X3 ) ) )
<=> ( X0
@ ^ [X3: $i] :
? [X4: $i > $o] :
( ! [X5: $i] :
( ( X4 @ X5 )
=> ( X0 @ X4 @ X5 ) )
& ( X4 @ X3 ) )
@ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.novlQkS81l/DTF2THF_1977.p',cTHM2A_EXPANDED_pme) ).
thf(f4366,plain,
( ! [X1: $i > $o] :
( ( ( X1
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( sK3 @ X1 @ Y0 ) ) ) )
= $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(beta_eta_normalization,[status(thm)],[f4364]) ).
thf(f4364,plain,
( ! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( Y0
@ ( sK5 @ sK9
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
@ X1 )
= $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(pi_clausification,[status(thm)],[f3875]) ).
thf(f3875,plain,
( ( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0
@ ( sK5 @ sK9
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl1_1
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f3874]) ).
thf(f3874,plain,
( ( $true = $false )
| ( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0
@ ( sK5 @ sK9
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl1_1
| ~ spl1_2 ),
inference(forward_demodulation,[status(thm)],[f3872,f3054]) ).
thf(f3872,plain,
( ( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0
@ ( sK5 @ sK9
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) ) )
| ( ( sK9 @ sK4 )
= $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(beta_eta_normalization,[status(thm)],[f3871]) ).
thf(f3871,plain,
( ( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ( ( sK9 @ sK4 )
= $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f3837]) ).
thf(f3837,plain,
( ( ( sK9 @ sK4 )
= $false )
| ( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ( $true = $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f77,f3196]) ).
thf(f3196,plain,
( ! [X0: $i,X1: $i > $o] :
( ( ( X1 @ ( sK5 @ sK9 @ X1 ) )
= $false )
| ( ( sK3 @ X1 @ X0 )
= $true )
| ( ( sK9 @ X0 )
= $false ) )
| ~ spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f3187]) ).
thf(f3187,plain,
( ! [X0: $i,X1: $i > $o] :
( ( $true = $false )
| ( ( X1 @ ( sK5 @ sK9 @ X1 ) )
= $false )
| ( ( sK3 @ X1 @ X0 )
= $true )
| ( ( sK9 @ X0 )
= $false ) )
| ~ spl1_1 ),
inference(superposition,[status(thm)],[f1129,f3133]) ).
thf(f3133,plain,
( ! [X1: $i] :
( ( ( sK3 @ sK9 @ X1 )
= $true )
| ( ( sK9 @ X1 )
= $false ) )
| ~ spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f3101]) ).
thf(f3101,plain,
( ! [X1: $i] :
( ( ( sK9 @ X1 )
=> ( sK3 @ sK9 @ X1 ) )
= $true )
| ~ spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f3093]) ).
thf(f3093,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK9 @ Y0 )
=> ( sK3 @ sK9 @ Y0 ) )
@ X1 )
= $true )
| ~ spl1_1 ),
inference(pi_clausification,[status(thm)],[f3065]) ).
thf(f1129,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X2 @ ( sK5 @ X1 @ X2 ) )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $true )
| ( ( sK3 @ X1 @ X3 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1128]) ).
thf(f1128,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X2 @ ( sK5 @ X1 @ X2 ) )
= $false )
| ( $true = $false )
| ( ( sK3 @ X2 @ X3 )
= $true )
| ( ( sK3 @ X1 @ X3 )
= $false ) ),
inference(boolean_simplification,[status(thm)],[f977]) ).
thf(f977,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( ( X1 @ ( sK5 @ X1 @ X2 ) )
=> $true )
= $false )
| ( ( X2 @ ( sK5 @ X1 @ X2 ) )
= $false )
| ( ( sK3 @ X1 @ X3 )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $true ) ),
inference(fool_paramodulation,[status(thm)],[f109]) ).
thf(f109,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( sK3 @ X2 @ X3 )
= $true )
| ( $false
= ( ( X1 @ ( sK5 @ X1 @ X2 ) )
=> ( X2 @ ( sK5 @ X1 @ X2 ) ) ) )
| ( ( sK3 @ X1 @ X3 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f79]) ).
thf(f79,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( sK3 @ X1 @ X3 )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $true )
| ( ( ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) )
@ ( sK5 @ X1 @ X2 ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f65]) ).
thf(f65,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( sK3 @ X1 @ X3 )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false ) ),
inference(boolean_simplification,[status(thm)],[f62]) ).
thf(f62,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( sK3 @ X1 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false )
| ( ( $true
=> ( sK3 @ X2 @ X3 ) )
= $true ) ),
inference(fool_paramodulation,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( ( sK3 @ X1 @ X3 )
=> ( sK3 @ X2 @ X3 ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f49]) ).
thf(f49,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( $true
= ( ^ [Y0: $i] :
( ( sK3 @ X1 @ Y0 )
=> ( sK3 @ X2 @ Y0 ) )
@ X3 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false ) ),
inference(pi_clausification,[status(thm)],[f43]) ).
thf(f43,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3 @ X1 @ Y0 )
=> ( sK3 @ X2 @ Y0 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f42]) ).
thf(f77,plain,
( ( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK4 )
= $false )
| ~ spl1_2 ),
inference(avatar_component_clause,[status(thm)],[f75]) ).
thf(f75,definition,
( spl1_2
<=> ( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK4 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl1_2])],[avatar_definition]) ).
thf(f4704,plain,
( ( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ~ spl1_1
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4699]) ).
thf(f4699,plain,
( ( ( $true
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ~ spl1_1
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f4013,f4692]) ).
thf(f4692,plain,
( ( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ~ spl1_1
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4686]) ).
thf(f4686,plain,
( ( $true
= ( $true
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl1_1
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3567,f4296]) ).
thf(f4296,plain,
( ( ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ~ spl1_1
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4278]) ).
thf(f4278,plain,
( ( $true
= ( $true
=> ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl1_1
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3433,f4262]) ).
thf(f4262,plain,
( ( ( sK3 @ ( sK3 @ sK9 )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ~ spl1_1
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f4253]) ).
thf(f4253,plain,
( ( ( $true
=> ( sK3 @ ( sK3 @ sK9 )
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ~ spl1_1
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3237,f3960]) ).
thf(f3960,plain,
( ( $true
= ( sK3 @ sK9
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) ) )
| ~ spl1_1
| ~ spl1_2 ),
inference(boolean_simplification,[status(thm)],[f3956]) ).
thf(f3956,plain,
( ( $true
= ( $true
=> ( sK3 @ sK9
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl1_1
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3101,f3954]) ).
thf(f3954,plain,
( ( ( sK9
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ~ spl1_1
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f3953]) ).
thf(f3953,plain,
( ( ( sK9
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ( $true = $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(forward_demodulation,[status(thm)],[f3935,f3054]) ).
thf(f3935,plain,
( ( ( sK9
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ( ( sK9 @ sK4 )
= $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(trivial_inequality_removal,[status(thm)],[f3885]) ).
thf(f3885,plain,
( ( ( sK9
@ ( sK5 @ sK9
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $true )
| ( $true = $false )
| ( ( sK9 @ sK4 )
= $false )
| ~ spl1_1
| ~ spl1_2 ),
inference(superposition,[status(thm)],[f3202,f77]) ).
thf(f3202,plain,
( ! [X0: $i,X1: $i > $o] :
( ( ( sK9 @ ( sK5 @ sK9 @ X1 ) )
= $true )
| ( ( sK3 @ X1 @ X0 )
= $true )
| ( ( sK9 @ X0 )
= $false ) )
| ~ spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f3178]) ).
thf(f3178,plain,
( ! [X0: $i,X1: $i > $o] :
( ( ( sK3 @ X1 @ X0 )
= $true )
| ( ( sK9 @ ( sK5 @ sK9 @ X1 ) )
= $true )
| ( $true = $false )
| ( ( sK9 @ X0 )
= $false ) )
| ~ spl1_1 ),
inference(superposition,[status(thm)],[f3133,f974]) ).
thf(f974,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X1 @ ( sK5 @ X1 @ X2 ) )
= $true )
| ( ( sK3 @ X1 @ X3 )
= $false )
| ( ( sK3 @ X2 @ X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f109]) ).
thf(f3237,plain,
( ! [X1: $i] :
( ( ( sK3 @ sK9 @ X1 )
=> ( sK3 @ ( sK3 @ sK9 ) @ X1 ) )
= $true )
| ~ spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f3230]) ).
thf(f3230,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK3 @ sK9 @ Y0 )
=> ( sK3 @ ( sK3 @ sK9 ) @ Y0 ) )
@ X1 )
= $true )
| ~ spl1_1 ),
inference(pi_clausification,[status(thm)],[f3099]) ).
thf(f3433,plain,
( ! [X1: $i] :
( ( ( sK3 @ ( sK3 @ sK9 ) @ X1 )
=> ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) @ X1 ) )
= $true )
| ~ spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f3424]) ).
thf(f3424,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ sK9 ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) @ Y0 ) )
@ X1 )
= $true )
| ~ spl1_1 ),
inference(pi_clausification,[status(thm)],[f3236]) ).
thf(f3567,plain,
( ! [X1: $i] :
( ( ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) @ X1 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) @ X1 ) )
= $true )
| ~ spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f3559]) ).
thf(f3559,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) @ Y0 ) )
@ X1 )
= $true )
| ~ spl1_1 ),
inference(pi_clausification,[status(thm)],[f3432]) ).
thf(f4013,plain,
( ! [X1: $i] :
( ( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) @ X1 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) ) @ X1 ) )
= $true )
| ~ spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f4003]) ).
thf(f4003,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) @ Y0 )
=> ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ ( sK3 @ sK9 ) ) ) ) @ Y0 ) )
@ X1 )
= $true )
| ~ spl1_1 ),
inference(pi_clausification,[status(thm)],[f3566]) ).
thf(f3005,plain,
spl1_1,
inference(avatar_contradiction_clause,[status(thm)],[f3004]) ).
thf(f3004,plain,
( $false
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f3003]) ).
thf(f3003,plain,
( ( $true = $false )
| spl1_1 ),
inference(backward_demodulation,[status(thm)],[f387,f2943]) ).
thf(f2943,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( sK3 @ sK7 @ Y0 ) ) )
= $false )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f2931]) ).
thf(f2931,plain,
( ( ( $true
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( sK3 @ sK7 @ Y0 ) ) ) )
= $false )
| spl1_1 ),
inference(superposition,[status(thm)],[f2876,f2009]) ).
thf(f2009,plain,
( ( ( sK7 @ sK8 )
= $true )
| spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f2007]) ).
thf(f2007,plain,
( ( ( ( sK7 @ sK8 )
=> ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ sK8 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) ) )
= $false )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f2004]) ).
thf(f2004,plain,
( ( ( ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) )
@ sK8 )
= $false )
| spl1_1 ),
inference(sigma_clausification,[status(thm)],[f1650]) ).
thf(f1650,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1649]) ).
thf(f1649,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ( $true = $false )
| spl1_1 ),
inference(forward_demodulation,[status(thm)],[f1640,f410]) ).
thf(f410,plain,
( ( ( sK7 @ sK6 )
= $true )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f409]) ).
thf(f409,plain,
( ( ( ( sK7 @ sK6 )
& $true )
= $true )
| spl1_1 ),
inference(backward_demodulation,[status(thm)],[f365,f387]) ).
thf(f365,plain,
( ( ( ( sK7 @ sK6 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( sK3 @ sK7 @ Y0 ) ) ) )
= $true )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f363]) ).
thf(f363,plain,
( ( ( ^ [Y0: $i > $o] :
( ( Y0 @ sK6 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
@ sK7 )
= $true )
| spl1_1 ),
inference(sigma_clausification,[status(thm)],[f287]) ).
thf(f287,plain,
( ( $true
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ sK6 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) ) )
| spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f265]) ).
thf(f265,plain,
( ( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ sK6 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) )
=> ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK6 ) )
= $false )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f263]) ).
thf(f263,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
=> ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) )
@ sK6 )
= $false )
| spl1_1 ),
inference(sigma_clausification,[status(thm)],[f239]) ).
thf(f239,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
=> ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) )
= $false )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f238]) ).
thf(f238,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) )
= $false )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f228]) ).
thf(f228,plain,
( ( $true = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) )
= $false )
| spl1_1 ),
inference(superposition,[status(thm)],[f221,f43]) ).
thf(f221,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( sK3
@ ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) ) )
@ Y0 ) ) )
= $false )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f216]) ).
thf(f216,plain,
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 )
=> ( sK3
@ ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) ) )
@ Y0 ) ) )
& $true )
= $false )
| spl1_1 ),
inference(superposition,[status(thm)],[f116,f123]) ).
thf(f123,plain,
( ( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK4 )
= $true )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f120]) ).
thf(f120,plain,
( ( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK4 )
= $true )
| ( $true = $false )
| spl1_1 ),
inference(backward_demodulation,[status(thm)],[f67,f117]) ).
thf(f117,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) ) )
= $false )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f115]) ).
thf(f115,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) ) )
= $false )
| ( $true != $true )
| spl1_1 ),
inference(fool_paramodulation,[status(thm)],[f73]) ).
thf(f73,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) ) )
!= $true )
| spl1_1 ),
inference(avatar_component_clause,[status(thm)],[f71]) ).
thf(f67,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) ) )
= $true )
| ( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK4 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f60]) ).
thf(f60,plain,
( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK4 )
!= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f59]) ).
thf(f59,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) ) )
= ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK4 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f56]) ).
thf(f56,plain,
( ( ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) )
= $false ),
inference(boolean_simplification,[status(thm)],[f33]) ).
thf(f33,plain,
( ( $true
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
= ( sK3
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
= $false ),
inference(backward_demodulation,[status(thm)],[f22,f25]) ).
thf(f116,plain,
( ! [X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( sK3 @ X1 @ Y0 ) ) )
& ( X1 @ sK4 ) )
= $false )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f114]) ).
thf(f114,plain,
( ! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) )
@ X1 )
= $false )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f73]) ).
thf(f1640,plain,
( ( ( sK7 @ sK6 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f1639]) ).
thf(f1639,plain,
( ( ( sK7 @ sK6 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) )
= $false )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1615]) ).
thf(f1615,plain,
( ( $true = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK3 @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) )
= $false )
| ( ( sK7 @ sK6 )
= $false )
| spl1_1 ),
inference(superposition,[status(thm)],[f305,f615]) ).
thf(f615,plain,
( ! [X0: $i,X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false )
| ( ( sK3 @ X1 @ X0 )
= $true )
| ( ( sK7 @ X0 )
= $false ) )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f602]) ).
thf(f602,plain,
( ! [X0: $i,X1: $i > $o] :
( ( ( sK3 @ X1 @ X0 )
= $true )
| ( $true = $false )
| ( ( sK7 @ X0 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false ) )
| spl1_1 ),
inference(superposition,[status(thm)],[f578,f65]) ).
thf(f578,plain,
( ! [X1: $i] :
( ( ( sK3 @ sK7 @ X1 )
= $true )
| ( ( sK7 @ X1 )
= $false ) )
| spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f571]) ).
thf(f571,plain,
( ! [X1: $i] :
( $true
= ( ( sK7 @ X1 )
=> ( sK3 @ sK7 @ X1 ) ) )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f542]) ).
thf(f542,plain,
( ! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( sK3 @ sK7 @ Y0 ) )
@ X1 ) )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f387]) ).
thf(f305,plain,
( ( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK6 )
= $false )
| spl1_1 ),
inference(trivial_inequality_removal,[status(thm)],[f302]) ).
thf(f302,plain,
( ( $true = $false )
| ( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK6 )
= $false )
| spl1_1 ),
inference(backward_demodulation,[status(thm)],[f301,f287]) ).
thf(f301,plain,
( ( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK6 )
= $false )
| ( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ sK6 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) ) )
| spl1_1 ),
inference(boolean_simplification,[status(thm)],[f288]) ).
thf(f288,plain,
( ( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ sK6 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) ) )
| ( ( $true
=> ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK6 ) )
= $false )
| spl1_1 ),
inference(fool_paramodulation,[status(thm)],[f265]) ).
thf(f2876,plain,
( ! [X1: $i > $o] :
( ( ( X1 @ sK8 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( sK3 @ X1 @ Y0 ) ) ) )
= $false )
| spl1_1 ),
inference(beta_eta_normalization,[status(thm)],[f2874]) ).
thf(f2874,plain,
( ! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( Y0 @ sK8 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
@ X1 )
= $false )
| spl1_1 ),
inference(pi_clausification,[status(thm)],[f2008]) ).
thf(f2008,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ sK8 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) )
= $false )
| spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f2007]) ).
thf(f387,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK7 @ Y0 )
=> ( sK3 @ sK7 @ Y0 ) ) )
= $true )
| spl1_1 ),
inference(binary_proxy_clausification,[status(thm)],[f365]) ).
thf(f78,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[status(thm)],[f69,f75,f71]) ).
thf(f69,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK4 ) ) )
!= $true )
| ( ( sK3
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y1 @ Y2 ) ) ) ) )
@ sK4 )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV252^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n018.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue Feb 24 12:42:31 EST 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.31/0.46 ---- Original DTF file ---
% 0.31/0.46 thf(spec,logic,$$dhol).
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 % File : SEV252^5 : TPTP v9.2.1. Released v4.0.0.
% 0.31/0.46 % Domain : Set Theory (Sets of sets)
% 0.31/0.46 % Problem : TPS problem from SETS-OF-SETS-THMS
% 0.31/0.46 % Version : Especial.
% 0.31/0.46 % English :
% 0.31/0.46
% 0.31/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.31/0.46 % Source : [Bro09]
% 0.31/0.46 % Names : tps_1051 [Bro09]
% 0.31/0.46
% 0.31/0.46 % Status : Theorem
% 0.31/0.46 % Rating : 0.33 v9.1.0, 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, 0.62 v6.4.0, 0.71 v6.3.0, 0.83 v6.2.0, 0.67 v6.1.0, 0.83 v6.0.0, 0.67 v5.5.0, 0.60 v5.4.0, 0.50 v5.2.0, 0.75 v4.1.0, 1.00 v4.0.0
% 0.31/0.46 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.31/0.46 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.31/0.46 % Maximal formula atoms : 0 ( 0 avg)
% 0.31/0.46 % Number of connectives : 35 ( 0 ~; 0 |; 3 &; 22 @)
% 0.31/0.46 % ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% 0.31/0.46 % Maximal formula depth : 14 ( 14 avg)
% 0.31/0.46 % Number of types : 2 ( 0 usr)
% 0.31/0.46 % Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% 0.31/0.46 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.31/0.46 % Number of variables : 15 ( 1 ^; 12 !; 2 ?; 15 :)
% 0.31/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.31/0.46
% 0.31/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.31/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.31/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.31/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 thf(cTHM2A_EXPANDED_pme,conjecture,
% 0.31/0.46 ! [K: ( $i > $o ) > $i > $o] :
% 0.31/0.46 ( ( ! [Xx: $i > $o,Xy: $i > $o] :
% 0.31/0.46 ( ! [Xx0: $i] :
% 0.31/0.46 ( ( Xx @ Xx0 )
% 0.31/0.46 => ( Xy @ Xx0 ) )
% 0.31/0.46 => ! [Xx0: $i] :
% 0.31/0.46 ( ( K @ Xx @ Xx0 )
% 0.31/0.46 => ( K @ Xy @ Xx0 ) ) )
% 0.31/0.46 & ! [Xx: $i > $o,Xy: $i > $o] :
% 0.31/0.46 ( ! [Xx0: $i] :
% 0.31/0.46 ( ( Xx @ Xx0 )
% 0.31/0.46 => ( Xy @ Xx0 ) )
% 0.31/0.46 => ! [Xx0: $i] :
% 0.31/0.46 ( ( K @ Xx @ Xx0 )
% 0.31/0.46 => ( K @ Xy @ Xx0 ) ) ) )
% 0.31/0.46 => ! [Xx: $i] :
% 0.31/0.46 ( ( K
% 0.31/0.46 @ ^ [Xx0: $i] :
% 0.31/0.46 ? [S: $i > $o] :
% 0.31/0.46 ( ! [Xx1: $i] :
% 0.31/0.46 ( ( S @ Xx1 )
% 0.31/0.46 => ( K @ S @ Xx1 ) )
% 0.31/0.46 & ( S @ Xx0 ) )
% 0.31/0.46 @ Xx )
% 0.31/0.46 <=> ? [S: $i > $o] :
% 0.31/0.46 ( ! [Xx0: $i] :
% 0.31/0.46 ( ( S @ Xx0 )
% 0.31/0.46 => ( K @ S @ Xx0 ) )
% 0.31/0.46 & ( S @ Xx ) ) ) ) ).
% 0.31/0.46
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 ------------------------
% 1.50/1.26 ---- Embedded in THF ---
% 1.50/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.26 %%% Generated on Tue Feb 24 12:42:32 EST 2026
% 1.50/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.26 %%% Logic specification used:
% 1.50/1.26 %%% thf(spec, logic, $$dhol).
% 1.50/1.26
% 1.50/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.novlQkS81l/DTF2DTF1977.p
% See solution above
% 1.50/1.26 ------------------------
% 1.50/1.27 ---- Cleaned THF ---
% 1.50/1.27 thf(cTHM2A_EXPANDED_pme,conjecture,
% 1.50/1.27 ! [K: ( $i > $o ) > $i > $o] :
% 1.50/1.27 ( ( ! [Xx: $i > $o,Xy: $i > $o] :
% 1.50/1.27 ( ! [Xx0: $i] :
% 1.50/1.27 ( ( Xx @ Xx0 )
% 1.50/1.27 => ( Xy @ Xx0 ) )
% 1.50/1.27 => ! [Xx0: $i] :
% 1.50/1.27 ( ( K @ Xx @ Xx0 )
% 1.50/1.27 => ( K @ Xy @ Xx0 ) ) )
% 1.50/1.27 & ! [Xx: $i > $o,Xy: $i > $o] :
% 1.50/1.27 ( ! [Xx0: $i] :
% 1.50/1.27 ( ( Xx @ Xx0 )
% 1.50/1.27 => ( Xy @ Xx0 ) )
% 1.50/1.27 => ! [Xx0: $i] :
% 1.50/1.27 ( ( K @ Xx @ Xx0 )
% 1.50/1.27 => ( K @ Xy @ Xx0 ) ) ) )
% 1.50/1.27 => ! [Xx: $i] :
% 1.50/1.27 ( ( K
% 1.50/1.27 @ ^ [Xx0: $i] :
% 1.50/1.27 ? [S: $i > $o] :
% 1.50/1.27 ( ! [Xx1: $i] :
% 1.50/1.27 ( ( S @ Xx1 )
% 1.50/1.27 => ( K @ S @ Xx1 ) )
% 1.50/1.27 & ( S @ Xx0 ) )
% 1.50/1.27 @ Xx )
% 1.50/1.27 <=> ? [S: $i > $o] :
% 1.50/1.27 ( ! [Xx0: $i] :
% 1.50/1.27 ( ( S @ Xx0 )
% 1.50/1.27 => ( K @ S @ Xx0 ) )
% 1.50/1.27 & ( S @ Xx ) ) ) ) ).
% 1.50/1.27 ------------------------
% 1.50/1.28 % (2184)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_1977 for (2999ds/275Mi)
% 1.50/1.28 % (2181)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_1977 for (2999ds/27Mi)
% 1.50/1.29 % (2179)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/183Mi)
% 1.50/1.29 % (2180)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_1977 for (2999ds/4Mi)
% 1.50/1.29 % (2182)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/2Mi)
% 1.50/1.29 % (2183)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_1977 for (2999ds/2Mi)
% 1.50/1.29 % (2185)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/18Mi)
% 1.50/1.29 % (2182)Instruction limit reached!
% 1.50/1.29 % (2182)------------------------------
% 1.50/1.29 % (2182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (2182)Termination reason: Unknown
% 1.50/1.29 % (2182)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (2182)Memory used [KB]: 1023
% 1.50/1.29 % (2182)Time elapsed: 0.004 s
% 1.50/1.29 % (2182)Instructions burned: 3 (million)
% 1.50/1.29 % (2182)------------------------------
% 1.50/1.29 % (2182)------------------------------
% 1.50/1.29 % (2183)Instruction limit reached!
% 1.50/1.29 % (2183)------------------------------
% 1.50/1.29 % (2183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (2183)Termination reason: Unknown
% 1.50/1.29 % (2183)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (2183)Memory used [KB]: 5500
% 1.50/1.29 % (2183)Time elapsed: 0.004 s
% 1.50/1.29 % (2183)Instructions burned: 3 (million)
% 1.50/1.29 % (2183)------------------------------
% 1.50/1.29 % (2183)------------------------------
% 1.50/1.29 % (2180)Instruction limit reached!
% 1.50/1.29 % (2180)------------------------------
% 1.50/1.29 % (2180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (2180)Termination reason: Unknown
% 1.50/1.29 % (2180)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (2180)Memory used [KB]: 5500
% 1.50/1.29 % (2180)Time elapsed: 0.005 s
% 1.50/1.29 % (2180)Instructions burned: 4 (million)
% 1.50/1.29 % (2180)------------------------------
% 1.50/1.29 % (2180)------------------------------
% 1.50/1.29 % (2181)Instruction limit reached!
% 1.50/1.29 % (2181)------------------------------
% 1.50/1.29 % (2181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (2181)Termination reason: Unknown
% 1.50/1.29 % (2181)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (2181)Memory used [KB]: 5628
% 1.50/1.29 % (2181)Time elapsed: 0.011 s
% 1.50/1.29 % (2181)Instructions burned: 27 (million)
% 1.50/1.29 % (2181)------------------------------
% 1.50/1.29 % (2181)------------------------------
% 1.64/1.30 % (2185)Instruction limit reached!
% 1.64/1.30 % (2185)------------------------------
% 1.64/1.30 % (2185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.30 % (2185)Termination reason: Unknown
% 1.64/1.30 % (2185)Termination phase: Saturation
% 1.64/1.30
% 1.64/1.30 % (2185)Memory used [KB]: 5628
% 1.64/1.30 % (2185)Time elapsed: 0.014 s
% 1.64/1.30 % (2185)Instructions burned: 18 (million)
% 1.64/1.30 % (2185)------------------------------
% 1.64/1.30 % (2185)------------------------------
% 1.64/1.30 % (2189)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_1977 for (2999ds/3Mi)
% 1.64/1.31 % (2189)Instruction limit reached!
% 1.64/1.31 % (2189)------------------------------
% 1.64/1.31 % (2189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (2189)Termination reason: Unknown
% 1.64/1.31 % (2189)Termination phase: Saturation
% 1.64/1.31
% 1.64/1.31 % (2189)Memory used [KB]: 5500
% 1.64/1.31 % (2189)Time elapsed: 0.003 s
% 1.64/1.31 % (2189)Instructions burned: 3 (million)
% 1.64/1.31 % (2189)------------------------------
% 1.64/1.31 % (2189)------------------------------
% 1.64/1.31 % (2187)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_1977 for (2999ds/37Mi)
% 1.64/1.31 % (2186)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/3Mi)
% 1.64/1.31 % (2188)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_1977 for (2999ds/15Mi)
% 1.64/1.31 % (2186)Instruction limit reached!
% 1.64/1.31 % (2186)------------------------------
% 1.64/1.31 % (2186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (2186)Termination reason: Unknown
% 1.64/1.31 % (2186)Termination phase: Saturation
% 1.64/1.31
% 1.64/1.31 % (2186)Memory used [KB]: 5500
% 1.64/1.31 % (2186)Time elapsed: 0.004 s
% 1.64/1.31 % (2186)Instructions burned: 3 (million)
% 1.64/1.31 % (2186)------------------------------
% 1.64/1.31 % (2186)------------------------------
% 1.64/1.32 % (2191)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/7Mi)
% 1.64/1.32 % (2191)Instruction limit reached!
% 1.64/1.32 % (2191)------------------------------
% 1.64/1.32 % (2191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.32 % (2191)Termination reason: Unknown
% 1.64/1.32 % (2191)Termination phase: Saturation
% 1.64/1.32
% 1.64/1.32 % (2191)Memory used [KB]: 1023
% 1.64/1.32 % (2191)Time elapsed: 0.005 s
% 1.64/1.32 % (2191)Instructions burned: 9 (million)
% 1.64/1.32 % (2191)------------------------------
% 1.64/1.32 % (2191)------------------------------
% 1.64/1.32 % (2190)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_1977 for (2999ds/1041Mi)
% 1.64/1.32 % (2188)Instruction limit reached!
% 1.64/1.32 % (2188)------------------------------
% 1.64/1.32 % (2188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.32 % (2188)Termination reason: Unknown
% 1.64/1.32 % (2188)Termination phase: Saturation
% 1.64/1.32
% 1.64/1.32 % (2188)Memory used [KB]: 5756
% 1.64/1.32 % (2188)Time elapsed: 0.012 s
% 1.64/1.32 % (2188)Instructions burned: 16 (million)
% 1.64/1.32 % (2188)------------------------------
% 1.64/1.32 % (2188)------------------------------
% 1.64/1.33 % (2193)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_1977 for (2999ds/3Mi)
% 1.64/1.33 % (2193)Instruction limit reached!
% 1.64/1.33 % (2193)------------------------------
% 1.64/1.33 % (2193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.33 % (2193)Termination reason: Unknown
% 1.64/1.33 % (2193)Termination phase: Twee Goal Transformation
% 1.64/1.33
% 1.64/1.33 % (2193)Memory used [KB]: 1023
% 1.64/1.33 % (2193)Time elapsed: 0.003 s
% 1.64/1.33 % (2193)Instructions burned: 4 (million)
% 1.64/1.33 % (2193)------------------------------
% 1.64/1.33 % (2193)------------------------------
% 1.64/1.33 % (2192)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/16Mi)
% 1.64/1.33 % (2187)Instruction limit reached!
% 1.64/1.33 % (2187)------------------------------
% 1.64/1.33 % (2187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.33 % (2187)Termination reason: Unknown
% 1.64/1.33 % (2187)Termination phase: Saturation
% 1.64/1.33
% 1.64/1.33 % (2187)Memory used [KB]: 6140
% 1.64/1.33 % (2187)Time elapsed: 0.022 s
% 1.64/1.33 % (2187)Instructions burned: 38 (million)
% 1.64/1.33 % (2187)------------------------------
% 1.64/1.33 % (2187)------------------------------
% 1.64/1.34 % (2194)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_1977 for (2999ds/3Mi)
% 1.64/1.34 % (2194)Instruction limit reached!
% 1.64/1.34 % (2194)------------------------------
% 1.64/1.34 % (2194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (2194)Termination reason: Unknown
% 1.64/1.34 % (2194)Termination phase: Preprocessing 3
% 1.64/1.34
% 1.64/1.34 % (2194)Memory used [KB]: 1023
% 1.64/1.34 % (2194)Time elapsed: 0.003 s
% 1.64/1.34 % (2194)Instructions burned: 3 (million)
% 1.64/1.34 % (2194)------------------------------
% 1.64/1.34 % (2194)------------------------------
% 1.64/1.34 % (2192)Instruction limit reached!
% 1.64/1.34 % (2192)------------------------------
% 1.64/1.34 % (2192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (2195)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/7Mi)
% 1.64/1.34 % (2192)Termination reason: Unknown
% 1.64/1.34 % (2192)Termination phase: Saturation
% 1.64/1.34
% 1.64/1.34 % (2192)Memory used [KB]: 5628
% 1.64/1.34 % (2192)Time elapsed: 0.012 s
% 1.64/1.34 % (2192)Instructions burned: 16 (million)
% 1.64/1.34 % (2192)------------------------------
% 1.64/1.34 % (2192)------------------------------
% 1.64/1.34 % (2195)Refutation not found, incomplete strategy
% 1.64/1.34 % (2195)------------------------------
% 1.64/1.34 % (2195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (2195)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.34
% 1.64/1.34
% 1.64/1.34 % (2195)Memory used [KB]: 5500
% 1.64/1.34 % (2195)Time elapsed: 0.004 s
% 1.64/1.34 % (2195)Instructions burned: 6 (million)
% 1.64/1.34 % (2195)------------------------------
% 1.64/1.34 % (2195)------------------------------
% 1.64/1.35 % (2197)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/4Mi)
% 1.64/1.35 % (2197)Instruction limit reached!
% 1.64/1.35 % (2197)------------------------------
% 1.64/1.35 % (2197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.35 % (2197)Termination reason: Unknown
% 1.64/1.35 % (2197)Termination phase: Saturation
% 1.64/1.35
% 1.64/1.35 % (2197)Memory used [KB]: 5500
% 1.64/1.35 % (2197)Time elapsed: 0.003 s
% 1.64/1.35 % (2197)Instructions burned: 4 (million)
% 1.64/1.35 % (2197)------------------------------
% 1.64/1.35 % (2197)------------------------------
% 1.64/1.35 % (2196)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/3Mi)
% 1.64/1.35 % (2196)Instruction limit reached!
% 1.64/1.35 % (2196)------------------------------
% 1.64/1.35 % (2196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.35 % (2196)Termination reason: Unknown
% 1.64/1.35 % (2196)Termination phase: Saturation
% 1.64/1.35
% 1.64/1.35 % (2196)Memory used [KB]: 5500
% 1.64/1.35 % (2196)Time elapsed: 0.004 s
% 1.64/1.35 % (2196)Instructions burned: 3 (million)
% 1.64/1.35 % (2196)------------------------------
% 1.64/1.35 % (2196)------------------------------
% 1.64/1.35 % (2199)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/710Mi)
% 1.64/1.36 % (2198)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/18Mi)
% 1.64/1.36 % (2200)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/6Mi)
% 1.64/1.36 % (2200)Instruction limit reached!
% 1.64/1.36 % (2200)------------------------------
% 1.64/1.36 % (2200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.36 % (2200)Termination reason: Unknown
% 1.64/1.36 % (2200)Termination phase: Saturation
% 1.64/1.36
% 1.64/1.36 % (2200)Memory used [KB]: 5500
% 1.64/1.36 % (2200)Time elapsed: 0.004 s
% 1.64/1.36 % (2200)Instructions burned: 6 (million)
% 1.64/1.36 % (2200)------------------------------
% 1.64/1.36 % (2200)------------------------------
% 1.64/1.36 % (2198)Refutation not found, incomplete strategy
% 1.64/1.36 % (2198)------------------------------
% 1.64/1.36 % (2198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.36 % (2198)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.36
% 1.64/1.36
% 1.64/1.36 % (2198)Memory used [KB]: 5500
% 1.64/1.36 % (2198)Time elapsed: 0.006 s
% 1.64/1.36 % (2198)Instructions burned: 6 (million)
% 1.64/1.36 % (2198)------------------------------
% 1.64/1.36 % (2198)------------------------------
% 1.64/1.37 % (2201)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_1977 for (2999ds/902Mi)
% 1.64/1.37 % (2184)Instruction limit reached!
% 1.64/1.37 % (2184)------------------------------
% 1.64/1.37 % (2184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.37 % (2184)Termination reason: Unknown
% 1.64/1.37 % (2184)Termination phase: Saturation
% 1.64/1.37
% 1.64/1.37 % (2184)Memory used [KB]: 6140
% 1.64/1.37 % (2184)Time elapsed: 0.086 s
% 1.64/1.37 % (2184)Instructions burned: 276 (million)
% 1.64/1.37 % (2184)------------------------------
% 1.64/1.37 % (2184)------------------------------
% 1.64/1.37 % (2202)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_1977 for (2999ds/21Mi)
% 1.64/1.38 % (2204)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_1977 for (2999ds/6Mi)
% 1.64/1.38 % (2202)Instruction limit reached!
% 1.64/1.38 % (2202)------------------------------
% 1.64/1.38 % (2202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.38 % (2202)Termination reason: Unknown
% 1.64/1.38 % (2202)Termination phase: Saturation
% 1.64/1.38
% 1.64/1.38 % (2202)Memory used [KB]: 5756
% 1.64/1.38 % (2202)Time elapsed: 0.010 s
% 1.64/1.38 % (2202)Instructions burned: 23 (million)
% 1.64/1.38 % (2202)------------------------------
% 1.64/1.38 % (2202)------------------------------
% 1.64/1.38 % (2204)Instruction limit reached!
% 1.64/1.38 % (2204)------------------------------
% 1.64/1.38 % (2204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.38 % (2204)Termination reason: Unknown
% 1.64/1.38 % (2204)Termination phase: Saturation
% 1.64/1.38
% 1.64/1.38 % (2204)Memory used [KB]: 5500
% 1.64/1.38 % (2204)Time elapsed: 0.003 s
% 1.64/1.38 % (2204)Instructions burned: 8 (million)
% 1.64/1.38 % (2204)------------------------------
% 1.64/1.38 % (2204)------------------------------
% 1.64/1.38 % (2203)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/5Mi)
% 1.64/1.38 % (2203)Instruction limit reached!
% 1.64/1.38 % (2203)------------------------------
% 1.64/1.38 % (2203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.38 % (2203)Termination reason: Unknown
% 1.64/1.38 % (2203)Termination phase: Saturation
% 1.64/1.38
% 1.64/1.38 % (2203)Memory used [KB]: 5500
% 1.64/1.38 % (2203)Time elapsed: 0.005 s
% 1.64/1.38 % (2203)Instructions burned: 5 (million)
% 1.64/1.38 % (2203)------------------------------
% 1.64/1.38 % (2203)------------------------------
% 1.64/1.39 % (2179)Instruction limit reached!
% 1.64/1.39 % (2179)------------------------------
% 1.64/1.39 % (2179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.39 % (2179)Termination reason: Unknown
% 1.64/1.39 % (2179)Termination phase: Saturation
% 1.64/1.39
% 1.64/1.39 % (2179)Memory used [KB]: 6780
% 1.64/1.39 % (2179)Time elapsed: 0.099 s
% 1.64/1.39 % (2179)Instructions burned: 183 (million)
% 1.64/1.39 % (2179)------------------------------
% 1.64/1.39 % (2179)------------------------------
% 1.64/1.39 % (2206)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_1977 for (2999ds/779Mi)
% 1.64/1.39 % (2205)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_1977 for (2999ds/377Mi)
% 1.64/1.40 % (2207)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_1977 for (2998ds/19Mi)
% 1.64/1.41 % (2208)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_1977 for (2998ds/879Mi)
% 1.64/1.41 % (2207)Instruction limit reached!
% 1.64/1.41 % (2207)------------------------------
% 1.64/1.41 % (2207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.41 % (2207)Termination reason: Unknown
% 1.64/1.41 % (2207)Termination phase: Saturation
% 1.64/1.41
% 1.64/1.41 % (2207)Memory used [KB]: 5628
% 1.64/1.41 % (2207)Time elapsed: 0.012 s
% 1.64/1.41 % (2207)Instructions burned: 20 (million)
% 1.64/1.41 % (2207)------------------------------
% 1.64/1.41 % (2207)------------------------------
% 1.64/1.42 % (2209)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_1977 for (2998ds/17Mi)
% 1.64/1.43 % (2209)Instruction limit reached!
% 1.64/1.43 % (2209)------------------------------
% 1.64/1.43 % (2209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.43 % (2209)Termination reason: Unknown
% 1.64/1.43 % (2209)Termination phase: Saturation
% 1.64/1.43
% 1.64/1.43 % (2209)Memory used [KB]: 5628
% 1.64/1.43 % (2209)Time elapsed: 0.008 s
% 1.64/1.43 % (2209)Instructions burned: 17 (million)
% 1.64/1.43 % (2209)------------------------------
% 1.64/1.43 % (2209)------------------------------
% 1.64/1.44 % (2210)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_1977 for (2998ds/3Mi)
% 1.64/1.44 % (2210)Instruction limit reached!
% 1.64/1.44 % (2210)------------------------------
% 1.64/1.44 % (2210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.44 % (2210)Termination reason: Unknown
% 1.64/1.44 % (2210)Termination phase: Saturation
% 1.64/1.44
% 1.64/1.44 % (2210)Memory used [KB]: 1023
% 1.64/1.44 % (2210)Time elapsed: 0.003 s
% 1.64/1.44 % (2210)Instructions burned: 4 (million)
% 1.64/1.44 % (2210)------------------------------
% 1.64/1.44 % (2210)------------------------------
% 1.64/1.45 % (2211)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_1977 for (2998ds/30Mi)
% 1.64/1.46 % (2211)Instruction limit reached!
% 1.64/1.46 % (2211)------------------------------
% 1.64/1.46 % (2211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.46 % (2211)Termination reason: Unknown
% 1.64/1.46 % (2211)Termination phase: Saturation
% 1.64/1.46
% 1.64/1.46 % (2211)Memory used [KB]: 5628
% 1.64/1.46 % (2211)Time elapsed: 0.013 s
% 1.64/1.46 % (2211)Instructions burned: 32 (million)
% 1.64/1.46 % (2211)------------------------------
% 1.64/1.46 % (2211)------------------------------
% 1.64/1.47 % (2212)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_1977 for (2998ds/127Mi)
% 1.64/1.51 % (2205)Instruction limit reached!
% 1.64/1.51 % (2205)------------------------------
% 1.64/1.51 % (2205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.51 % (2205)Termination reason: Unknown
% 1.64/1.51 % (2205)Termination phase: Saturation
% 1.64/1.51
% 1.64/1.51 % (2205)Memory used [KB]: 6268
% 1.64/1.51 % (2205)Time elapsed: 0.144 s
% 1.64/1.51 % (2205)Instructions burned: 377 (million)
% 1.64/1.51 % (2205)------------------------------
% 1.64/1.51 % (2205)------------------------------
% 1.64/1.51 % (2212)Instruction limit reached!
% 1.64/1.51 % (2212)------------------------------
% 1.64/1.51 % (2212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.51 % (2212)Termination reason: Unknown
% 1.64/1.51 % (2212)Termination phase: Saturation
% 1.64/1.51
% 1.64/1.51 % (2212)Memory used [KB]: 6268
% 1.64/1.51 % (2212)Time elapsed: 0.045 s
% 1.64/1.51 % (2212)Instructions burned: 128 (million)
% 1.64/1.51 % (2212)------------------------------
% 1.64/1.51 % (2212)------------------------------
% 1.64/1.52 % (2213)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_1977 for (2997ds/100Mi)
% 1.64/1.53 % (2214)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_1977 for (2997ds/3Mi)
% 1.64/1.53 % (2214)Instruction limit reached!
% 1.64/1.53 % (2214)------------------------------
% 1.64/1.53 % (2214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.53 % (2214)Termination reason: Unknown
% 1.64/1.53 % (2214)Termination phase: Saturation
% 1.64/1.53
% 1.64/1.53 % (2214)Memory used [KB]: 5500
% 1.64/1.53 % (2214)Time elapsed: 0.003 s
% 1.64/1.53 % (2214)Instructions burned: 4 (million)
% 1.64/1.53 % (2214)------------------------------
% 1.64/1.53 % (2214)------------------------------
% 1.64/1.54 % (2215)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_1977 for (2997ds/20Mi)
% 1.64/1.54 % (2215)Instruction limit reached!
% 1.64/1.54 % (2215)------------------------------
% 1.64/1.54 % (2215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.54 % (2215)Termination reason: Unknown
% 1.64/1.54 % (2215)Termination phase: Saturation
% 1.64/1.54
% 1.64/1.54 % (2215)Memory used [KB]: 5628
% 1.64/1.54 % (2215)Time elapsed: 0.009 s
% 1.64/1.54 % (2215)Instructions burned: 20 (million)
% 1.64/1.54 % (2215)------------------------------
% 1.64/1.54 % (2215)------------------------------
% 1.64/1.55 % (2216)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_1977 for (2997ds/86Mi)
% 1.64/1.55 % (2213)Instruction limit reached!
% 1.64/1.55 % (2213)------------------------------
% 1.64/1.55 % (2213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.55 % (2213)Termination reason: Unknown
% 1.64/1.55 % (2213)Termination phase: Saturation
% 1.64/1.55
% 1.64/1.55 % (2213)Memory used [KB]: 5756
% 1.64/1.55 % (2213)Time elapsed: 0.035 s
% 1.64/1.55 % (2213)Instructions burned: 102 (million)
% 1.64/1.55 % (2213)------------------------------
% 1.64/1.55 % (2213)------------------------------
% 1.64/1.56 % (2217)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_1977 for (2997ds/107Mi)
% 1.64/1.58 % (2216)Instruction limit reached!
% 1.64/1.58 % (2216)------------------------------
% 1.64/1.58 % (2216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.58 % (2216)Termination reason: Unknown
% 1.64/1.58 % (2216)Termination phase: Saturation
% 1.64/1.58
% 1.64/1.58 % (2216)Memory used [KB]: 6012
% 1.64/1.58 % (2216)Time elapsed: 0.030 s
% 1.64/1.58 % (2216)Instructions burned: 88 (million)
% 1.64/1.58 % (2216)------------------------------
% 1.64/1.58 % (2216)------------------------------
% 1.64/1.58 % (2199)Instruction limit reached!
% 1.64/1.58 % (2199)------------------------------
% 1.64/1.58 % (2199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.58 % (2199)Termination reason: Unknown
% 1.64/1.58 % (2199)Termination phase: Saturation
% 1.64/1.58
% 1.64/1.58 % (2199)Memory used [KB]: 7419
% 1.64/1.58 % (2199)Time elapsed: 0.231 s
% 1.64/1.58 % (2199)Instructions burned: 712 (million)
% 1.64/1.58 % (2199)------------------------------
% 1.64/1.58 % (2199)------------------------------
% 1.64/1.59 % (2218)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_1977 for (2996ds/39Mi)
% 1.64/1.59 % (2219)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_1977 for (2996ds/448Mi)
% 1.64/1.60 % (2217)Instruction limit reached!
% 1.64/1.60 % (2217)------------------------------
% 1.64/1.60 % (2217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.60 % (2217)Termination reason: Unknown
% 1.64/1.60 % (2217)Termination phase: Saturation
% 1.64/1.60
% 1.64/1.60 % (2217)Memory used [KB]: 5884
% 1.64/1.60 % (2217)Time elapsed: 0.037 s
% 1.64/1.60 % (2217)Instructions burned: 107 (million)
% 1.64/1.60 % (2217)------------------------------
% 1.64/1.60 % (2217)------------------------------
% 1.64/1.60 % (2218)Instruction limit reached!
% 1.64/1.60 % (2218)------------------------------
% 1.64/1.60 % (2218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.60 % (2218)Termination reason: Unknown
% 1.64/1.60 % (2218)Termination phase: Saturation
% 1.64/1.60
% 1.64/1.60 % (2218)Memory used [KB]: 5884
% 1.64/1.60 % (2218)Time elapsed: 0.014 s
% 1.64/1.60 % (2218)Instructions burned: 40 (million)
% 1.64/1.60 % (2218)------------------------------
% 1.64/1.60 % (2218)------------------------------
% 1.64/1.61 % (2220)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_1977 for (2996ds/46Mi)
% 1.64/1.61 % (2221)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_1977 for (2996ds/98Mi)
% 1.64/1.62 % (2206)Instruction limit reached!
% 1.64/1.62 % (2206)------------------------------
% 1.64/1.62 % (2206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.62 % (2206)Termination reason: Unknown
% 1.64/1.62 % (2206)Termination phase: Saturation
% 1.64/1.62
% 1.64/1.62 % (2206)Memory used [KB]: 7164
% 1.64/1.62 % (2206)Time elapsed: 0.251 s
% 1.64/1.62 % (2206)Instructions burned: 780 (million)
% 1.64/1.62 % (2206)------------------------------
% 1.64/1.62 % (2206)------------------------------
% 1.64/1.63 % (2222)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_1977 for (2996ds/507Mi)
% 1.64/1.63 % (2220)Instruction limit reached!
% 1.64/1.63 % (2220)------------------------------
% 1.64/1.63 % (2220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.63 % (2220)Termination reason: Unknown
% 1.64/1.63 % (2220)Termination phase: Saturation
% 1.64/1.63
% 1.64/1.63 % (2220)Memory used [KB]: 5756
% 1.64/1.63 % (2220)Time elapsed: 0.019 s
% 1.64/1.63 % (2220)Instructions burned: 47 (million)
% 1.64/1.63 % (2220)------------------------------
% 1.64/1.63 % (2220)------------------------------
% 1.64/1.64 % (2223)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_1977 for (2996ds/149Mi)
% 1.64/1.64 % (2221)Instruction limit reached!
% 1.64/1.64 % (2221)------------------------------
% 1.64/1.64 % (2221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.64 % (2221)Termination reason: Unknown
% 1.64/1.64 % (2221)Termination phase: Saturation
% 1.64/1.64
% 1.64/1.64 % (2221)Memory used [KB]: 1151
% 1.64/1.64 % (2221)Time elapsed: 0.032 s
% 1.64/1.64 % (2221)Instructions burned: 98 (million)
% 1.64/1.64 % (2221)------------------------------
% 1.64/1.64 % (2221)------------------------------
% 1.64/1.65 % (2224)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_1977 for (2996ds/39Mi)
% 1.64/1.66 % (2190)Instruction limit reached!
% 1.64/1.66 % (2190)------------------------------
% 1.64/1.66 % (2190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.66 % (2190)Termination reason: Unknown
% 1.64/1.66 % (2190)Termination phase: Saturation
% 1.64/1.66
% 1.64/1.66 % (2190)Memory used [KB]: 7036
% 1.64/1.66 % (2190)Time elapsed: 0.340 s
% 1.64/1.66 % (2190)Instructions burned: 1044 (million)
% 1.64/1.66 % (2190)------------------------------
% 1.64/1.66 % (2190)------------------------------
% 1.64/1.67 % (2224)Instruction limit reached!
% 1.64/1.67 % (2224)------------------------------
% 1.64/1.67 % (2224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.67 % (2224)Termination reason: Unknown
% 1.64/1.67 % (2224)Termination phase: Saturation
% 1.64/1.67
% 1.64/1.67 % (2224)Memory used [KB]: 5628
% 1.64/1.67 % (2224)Time elapsed: 0.016 s
% 1.64/1.67 % (2224)Instructions burned: 40 (million)
% 1.64/1.67 % (2224)------------------------------
% 1.64/1.67 % (2224)------------------------------
% 1.64/1.67 % (2225)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_1977 for (2996ds/6Mi)
% 1.64/1.67 % (2225)Instruction limit reached!
% 1.64/1.67 % (2225)------------------------------
% 1.64/1.67 % (2225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.67 % (2225)Termination reason: Unknown
% 1.64/1.67 % (2225)Termination phase: Saturation
% 1.64/1.67
% 1.64/1.67 % (2225)Memory used [KB]: 9978
% 1.64/1.67 % (2225)Time elapsed: 0.005 s
% 1.64/1.67 % (2225)Instructions burned: 8 (million)
% 1.64/1.67 % (2225)------------------------------
% 1.64/1.67 % (2225)------------------------------
% 1.64/1.68 % (2226)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_1977 for (2996ds/1087Mi)
% 1.64/1.68 % (2201)Instruction limit reached!
% 1.64/1.68 % (2201)------------------------------
% 1.64/1.68 % (2201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.68 % (2201)Termination reason: Unknown
% 1.64/1.68 % (2201)Termination phase: Saturation
% 1.64/1.68
% 1.64/1.68 % (2201)Memory used [KB]: 7291
% 1.64/1.68 % (2201)Time elapsed: 0.315 s
% 1.64/1.68 % (2201)Instructions burned: 902 (million)
% 1.64/1.68 % (2201)------------------------------
% 1.64/1.68 % (2201)------------------------------
% 1.64/1.68 % (2227)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_1977 for (2996ds/47Mi)
% 1.64/1.69 % (2223)Instruction limit reached!
% 1.64/1.69 % (2223)------------------------------
% 1.64/1.69 % (2223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.69 % (2223)Termination reason: Unknown
% 1.64/1.69 % (2223)Termination phase: Saturation
% 1.64/1.69
% 1.64/1.69 % (2223)Memory used [KB]: 6140
% 1.64/1.69 % (2223)Time elapsed: 0.055 s
% 1.64/1.69 % (2223)Instructions burned: 150 (million)
% 1.64/1.69 % (2223)------------------------------
% 1.64/1.69 % (2223)------------------------------
% 1.64/1.69 % (2228)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_1977 for (2995ds/44Mi)
% 1.64/1.70 % (2208)Instruction limit reached!
% 1.64/1.70 % (2208)------------------------------
% 1.64/1.70 % (2208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.70 % (2208)Termination reason: Unknown
% 1.64/1.70 % (2208)Termination phase: Saturation
% 1.64/1.70
% 1.64/1.70 % (2208)Memory used [KB]: 7419
% 1.64/1.70 % (2208)Time elapsed: 0.294 s
% 1.64/1.70 % (2208)Instructions burned: 881 (million)
% 1.64/1.70 % (2208)------------------------------
% 1.64/1.70 % (2208)------------------------------
% 1.64/1.70 % (2227)Instruction limit reached!
% 1.64/1.70 % (2227)------------------------------
% 1.64/1.70 % (2227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.70 % (2227)Termination reason: Unknown
% 1.64/1.70 % (2227)Termination phase: Saturation
% 1.64/1.70
% 1.64/1.70 % (2227)Memory used [KB]: 5756
% 1.64/1.70 % (2227)Time elapsed: 0.018 s
% 1.64/1.70 % (2227)Instructions burned: 47 (million)
% 1.64/1.70 % (2227)------------------------------
% 1.64/1.70 % (2227)------------------------------
% 1.64/1.70 % (2229)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_1977 for (2995ds/432Mi)
% 1.64/1.71 % (2228)Instruction limit reached!
% 1.64/1.71 % (2228)------------------------------
% 1.64/1.71 % (2228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.71 % (2228)Termination reason: Unknown
% 1.64/1.71 % (2228)Termination phase: Saturation
% 1.64/1.71
% 1.64/1.71 % (2228)Memory used [KB]: 1279
% 1.64/1.71 % (2228)Time elapsed: 0.017 s
% 1.64/1.71 % (2228)Instructions burned: 47 (million)
% 1.64/1.71 % (2228)------------------------------
% 1.64/1.71 % (2228)------------------------------
% 1.64/1.71 % (2230)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_1977 for (2995ds/62Mi)
% 1.64/1.71 % (2231)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_1977 for (2995ds/31Mi)
% 1.64/1.72 % (2232)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_1977 for (2995ds/96Mi)
% 1.64/1.72 % (2231)Instruction limit reached!
% 1.64/1.72 % (2231)------------------------------
% 1.64/1.72 % (2231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.72 % (2231)Termination reason: Unknown
% 1.64/1.72 % (2231)Termination phase: Saturation
% 1.64/1.72
% 1.64/1.72 % (2231)Memory used [KB]: 5756
% 1.64/1.72 % (2231)Time elapsed: 0.013 s
% 1.64/1.72 % (2231)Instructions burned: 32 (million)
% 1.64/1.72 % (2231)------------------------------
% 1.64/1.72 % (2231)------------------------------
% 1.64/1.73 % (2230)Instruction limit reached!
% 1.64/1.73 % (2230)------------------------------
% 1.64/1.73 % (2230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.73 % (2230)Termination reason: Unknown
% 1.64/1.73 % (2230)Termination phase: Saturation
% 1.64/1.73
% 1.64/1.73 % (2230)Memory used [KB]: 5884
% 1.64/1.73 % (2230)Time elapsed: 0.022 s
% 1.64/1.73 % (2230)Instructions burned: 63 (million)
% 1.64/1.73 % (2230)------------------------------
% 1.64/1.73 % (2230)------------------------------
% 1.64/1.73 % (2219)Instruction limit reached!
% 1.64/1.73 % (2219)------------------------------
% 1.64/1.73 % (2219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.73 % (2219)Termination reason: Unknown
% 1.64/1.73 % (2219)Termination phase: Saturation
% 1.64/1.73
% 1.64/1.73 % (2219)Memory used [KB]: 6652
% 1.64/1.73 % (2219)Time elapsed: 0.138 s
% 1.64/1.73 % (2219)Instructions burned: 450 (million)
% 1.64/1.73 % (2219)------------------------------
% 1.64/1.73 % (2219)------------------------------
% 1.64/1.73 % (2233)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_1977 for (2995ds/453Mi)
% 1.64/1.74 % (2234)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_1977 for (2995ds/71Mi)
% 1.64/1.74 % (2235)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_1977 for (2995ds/83Mi)
% 1.64/1.75 % (2232)Instruction limit reached!
% 1.64/1.75 % (2232)------------------------------
% 1.64/1.75 % (2232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.75 % (2232)Termination reason: Unknown
% 1.64/1.75 % (2232)Termination phase: Saturation
% 1.64/1.75
% 1.64/1.75 % (2232)Memory used [KB]: 5756
% 1.64/1.75 % (2232)Time elapsed: 0.034 s
% 1.64/1.75 % (2232)Instructions burned: 98 (million)
% 1.64/1.75 % (2232)------------------------------
% 1.64/1.75 % (2232)------------------------------
% 1.64/1.76 % (2236)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_1977 for (2995ds/11Mi)
% 1.64/1.76 % (2234)Instruction limit reached!
% 1.64/1.76 % (2234)------------------------------
% 1.64/1.76 % (2234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.76 % (2234)Termination reason: Unknown
% 1.64/1.76 % (2234)Termination phase: Saturation
% 1.64/1.76
% 1.64/1.76 % (2234)Memory used [KB]: 5756
% 1.64/1.76 % (2234)Time elapsed: 0.026 s
% 1.64/1.76 % (2234)Instructions burned: 71 (million)
% 1.64/1.76 % (2234)------------------------------
% 1.64/1.76 % (2234)------------------------------
% 1.64/1.76 % (2236)Instruction limit reached!
% 1.64/1.76 % (2236)------------------------------
% 1.64/1.76 % (2236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.76 % (2236)Termination reason: Unknown
% 1.64/1.76 % (2236)Termination phase: Saturation
% 1.64/1.76
% 1.64/1.76 % (2236)Memory used [KB]: 5500
% 1.64/1.76 % (2236)Time elapsed: 0.006 s
% 1.64/1.76 % (2236)Instructions burned: 13 (million)
% 1.64/1.76 % (2236)------------------------------
% 1.64/1.76 % (2236)------------------------------
% 1.64/1.77 % (2235)Instruction limit reached!
% 1.64/1.77 % (2235)------------------------------
% 1.64/1.77 % (2235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.77 % (2235)Termination reason: Unknown
% 1.64/1.77 % (2235)Termination phase: Saturation
% 1.64/1.77
% 1.64/1.77 % (2235)Memory used [KB]: 6012
% 1.64/1.77 % (2235)Time elapsed: 0.028 s
% 1.64/1.77 % (2235)Instructions burned: 85 (million)
% 1.64/1.77 % (2235)------------------------------
% 1.64/1.77 % (2235)------------------------------
% 1.64/1.77 % (2237)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_1977 for (2995ds/41Mi)
% 1.64/1.77 % (2238)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_1977 for (2995ds/6Mi)
% 1.64/1.78 % (2239)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_1977 for (2995ds/150Mi)
% 1.64/1.78 % (2238)Instruction limit reached!
% 1.64/1.78 % (2238)------------------------------
% 1.64/1.78 % (2238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.78 % (2238)Termination reason: Unknown
% 1.64/1.78 % (2238)Termination phase: Saturation
% 1.64/1.78
% 1.64/1.78 % (2238)Memory used [KB]: 5500
% 1.64/1.78 % (2238)Time elapsed: 0.004 s
% 1.64/1.78 % (2238)Instructions burned: 6 (million)
% 1.64/1.78 % (2238)------------------------------
% 1.64/1.78 % (2238)------------------------------
% 1.64/1.78 % (2237)Refutation not found, incomplete strategy
% 1.64/1.78 % (2237)------------------------------
% 1.64/1.78 % (2237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.78 % (2237)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.78
% 1.64/1.78
% 1.64/1.78 % (2237)Memory used [KB]: 5628
% 1.64/1.78 % (2237)Time elapsed: 0.008 s
% 1.64/1.78 % (2237)Instructions burned: 19 (million)
% 1.64/1.78 % (2237)------------------------------
% 1.64/1.78 % (2237)------------------------------
% 1.64/1.78 % (2222)Instruction limit reached!
% 1.64/1.78 % (2222)------------------------------
% 1.64/1.78 % (2222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.78 % (2222)Termination reason: Unknown
% 1.64/1.78 % (2222)Termination phase: Saturation
% 1.64/1.78
% 1.64/1.78 % (2222)Memory used [KB]: 6524
% 1.64/1.78 % (2222)Time elapsed: 0.159 s
% 1.64/1.78 % (2222)Instructions burned: 507 (million)
% 1.64/1.78 % (2222)------------------------------
% 1.64/1.78 % (2222)------------------------------
% 1.64/1.79 % (2240)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_1977 for (2995ds/343Mi)
% 1.64/1.79 % (2241)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_1977 for (2995ds/109Mi)
% 1.64/1.79 % (2242)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_1977 for (2995ds/253Mi)
% 1.64/1.82 % (2239)Instruction limit reached!
% 1.64/1.82 % (2239)------------------------------
% 1.64/1.82 % (2239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.82 % (2239)Termination reason: Unknown
% 1.64/1.82 % (2239)Termination phase: Saturation
% 1.64/1.82
% 1.64/1.82 % (2239)Memory used [KB]: 6012
% 1.64/1.82 % (2239)Time elapsed: 0.048 s
% 1.64/1.82 % (2239)Instructions burned: 151 (million)
% 1.64/1.82 % (2239)------------------------------
% 1.64/1.82 % (2239)------------------------------
% 1.64/1.83 % (2241)Instruction limit reached!
% 1.64/1.83 % (2241)------------------------------
% 1.64/1.83 % (2241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.83 % (2241)Termination reason: Unknown
% 1.64/1.83 % (2241)Termination phase: Saturation
% 1.64/1.83
% 1.64/1.83 % (2241)Memory used [KB]: 6140
% 1.64/1.83 % (2241)Time elapsed: 0.039 s
% 1.64/1.83 % (2241)Instructions burned: 111 (million)
% 1.64/1.83 % (2241)------------------------------
% 1.64/1.83 % (2241)------------------------------
% 1.64/1.83 % (2229)Instruction limit reached!
% 1.64/1.83 % (2229)------------------------------
% 1.64/1.83 % (2229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.83 % (2229)Termination reason: Unknown
% 1.64/1.83 % (2229)Termination phase: Saturation
% 1.64/1.83
% 1.64/1.83 % (2229)Memory used [KB]: 2686
% 1.64/1.83 % (2229)Time elapsed: 0.129 s
% 1.64/1.83 % (2229)Instructions burned: 435 (million)
% 1.64/1.83 % (2229)------------------------------
% 1.64/1.83 % (2229)------------------------------
% 1.64/1.83 % (2244)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_1977 for (2994ds/140Mi)
% 1.64/1.84 % (2245)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_1977 for (2994ds/614Mi)
% 1.64/1.84 % (2246)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_1977 for (2994ds/202Mi)
% 1.64/1.87 % (2233)Instruction limit reached!
% 1.64/1.87 % (2233)------------------------------
% 1.64/1.87 % (2233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.87 % (2233)Termination reason: Unknown
% 1.64/1.87 % (2233)Termination phase: Saturation
% 1.64/1.87
% 1.64/1.87 % (2233)Memory used [KB]: 6140
% 1.64/1.87 % (2233)Time elapsed: 0.139 s
% 1.64/1.87 % (2233)Instructions burned: 455 (million)
% 1.64/1.87 % (2233)------------------------------
% 1.64/1.87 % (2233)------------------------------
% 1.64/1.87 % (2242)Instruction limit reached!
% 1.64/1.87 % (2242)------------------------------
% 1.64/1.87 % (2242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.87 % (2242)Termination reason: Unknown
% 1.64/1.87 % (2242)Termination phase: Saturation
% 1.64/1.87
% 1.64/1.87 % (2242)Memory used [KB]: 6140
% 1.64/1.87 % (2242)Time elapsed: 0.101 s
% 1.64/1.87 % (2242)Instructions burned: 253 (million)
% 1.64/1.87 % (2242)------------------------------
% 1.64/1.87 % (2242)------------------------------
% 1.64/1.87 % (2244)Instruction limit reached!
% 1.64/1.87 % (2244)------------------------------
% 1.64/1.87 % (2244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.87 % (2244)Termination reason: Unknown
% 1.64/1.87 % (2244)Termination phase: Saturation
% 1.64/1.87
% 1.64/1.87 % (2244)Memory used [KB]: 5884
% 1.64/1.87 % (2244)Time elapsed: 0.066 s
% 1.64/1.87 % (2244)Instructions burned: 140 (million)
% 1.64/1.87 % (2244)------------------------------
% 1.64/1.87 % (2244)------------------------------
% 1.64/1.88 % (2247)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_1977 for (2994ds/339Mi)
% 1.64/1.88 % (2248)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_1977 for (2994ds/283Mi)
% 1.64/1.88 % (2249)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_1977 for (2993ds/134Mi)
% 1.64/1.90 % (2240)Instruction limit reached!
% 1.64/1.90 % (2240)------------------------------
% 1.64/1.90 % (2240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.90 % (2240)Termination reason: Unknown
% 1.64/1.90 % (2240)Termination phase: Saturation
% 1.64/1.90
% 1.64/1.90 % (2240)Memory used [KB]: 6396
% 1.64/1.90 % (2240)Time elapsed: 0.133 s
% 1.64/1.90 % (2240)Instructions burned: 346 (million)
% 1.64/1.90 % (2240)------------------------------
% 1.64/1.90 % (2240)------------------------------
% 1.64/1.90 % (2246)Instruction limit reached!
% 1.64/1.90 % (2246)------------------------------
% 1.64/1.90 % (2246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.90 % (2246)Termination reason: Unknown
% 1.64/1.90 % (2246)Termination phase: Saturation
% 1.64/1.90
% 1.64/1.90 % (2246)Memory used [KB]: 6140
% 1.64/1.90 % (2246)Time elapsed: 0.085 s
% 1.64/1.90 % (2246)Instructions burned: 205 (million)
% 1.64/1.90 % (2246)------------------------------
% 1.64/1.90 % (2246)------------------------------
% 1.64/1.91 % (2250)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_1977 for (2993ds/298Mi)
% 1.64/1.91 % (2251)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_1977 for (2993ds/192Mi)
% 1.64/1.93 % (2249)Instruction limit reached!
% 1.64/1.93 % (2249)------------------------------
% 1.64/1.93 % (2249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.93 % (2249)Termination reason: Unknown
% 1.64/1.93 % (2249)Termination phase: Saturation
% 1.64/1.93
% 1.64/1.93 % (2249)Memory used [KB]: 6268
% 1.64/1.93 % (2249)Time elapsed: 0.044 s
% 1.64/1.93 % (2249)Instructions burned: 136 (million)
% 1.64/1.93 % (2249)------------------------------
% 1.64/1.93 % (2249)------------------------------
% 1.64/1.94 % (2252)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_1977 for (2993ds/258Mi)
% 1.64/1.96 % (2248)Instruction limit reached!
% 1.64/1.96 % (2248)------------------------------
% 1.64/1.96 % (2248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.96 % (2248)Termination reason: Unknown
% 1.64/1.96 % (2248)Termination phase: Saturation
% 1.64/1.96
% 1.64/1.96 % (2248)Memory used [KB]: 6908
% 1.64/1.96 % (2248)Time elapsed: 0.107 s
% 1.64/1.96 % (2248)Instructions burned: 285 (million)
% 1.64/1.96 % (2248)------------------------------
% 1.64/1.96 % (2248)------------------------------
% 1.64/1.97 % (2251)Instruction limit reached!
% 1.64/1.97 % (2251)------------------------------
% 1.64/1.97 % (2251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.97 % (2251)Termination reason: Unknown
% 1.64/1.97 % (2251)Termination phase: Saturation
% 1.64/1.97
% 1.64/1.97 % (2251)Memory used [KB]: 6396
% 1.64/1.97 % (2251)Time elapsed: 0.062 s
% 1.64/1.97 % (2251)Instructions burned: 193 (million)
% 1.64/1.97 % (2251)------------------------------
% 1.64/1.97 % (2251)------------------------------
% 1.64/1.97 % (2253)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_1977 for (2993ds/90Mi)
% 1.64/1.98 % (2254)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_1977 for (2992ds/231Mi)
% 1.64/1.99 % (2247)Instruction limit reached!
% 1.64/1.99 % (2247)------------------------------
% 1.64/1.99 % (2247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.99 % (2247)Termination reason: Unknown
% 1.64/1.99 % (2247)Termination phase: Saturation
% 1.64/1.99
% 1.64/1.99 % (2247)Memory used [KB]: 6268
% 1.64/1.99 % (2247)Time elapsed: 0.132 s
% 1.64/1.99 % (2247)Instructions burned: 342 (million)
% 1.64/1.99 % (2247)------------------------------
% 1.64/1.99 % (2247)------------------------------
% 1.64/2.00 % (2255)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_1977 for (2992ds/458Mi)
% 1.64/2.00 % (2250)Instruction limit reached!
% 1.64/2.00 % (2250)------------------------------
% 1.64/2.00 % (2250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/2.00 % (2250)Termination reason: Unknown
% 1.64/2.00 % (2250)Termination phase: Saturation
% 1.64/2.00
% 1.64/2.00 % (2250)Memory used [KB]: 6396
% 1.64/2.00 % (2250)Time elapsed: 0.095 s
% 1.64/2.00 % (2250)Instructions burned: 298 (million)
% 1.64/2.00 % (2250)------------------------------
% 1.64/2.00 % (2250)------------------------------
% 1.64/2.00 % (2253)Instruction limit reached!
% 1.64/2.00 % (2253)------------------------------
% 1.64/2.00 % (2253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/2.00 % (2253)Termination reason: Unknown
% 1.64/2.00 % (2253)Termination phase: Saturation
% 1.64/2.00
% 1.64/2.00 % (2253)Memory used [KB]: 5884
% 1.64/2.00 % (2253)Time elapsed: 0.031 s
% 1.64/2.00 % (2253)Instructions burned: 92 (million)
% 1.64/2.00 % (2253)------------------------------
% 1.64/2.00 % (2253)------------------------------
% 1.64/2.01 % (2256)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_1977 for (2992ds/31Mi)
% 6.73/2.01 % (2257)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_1977 for (2992ds/297Mi)
% 6.73/2.02 % (2252)Instruction limit reached!
% 6.73/2.02 % (2252)------------------------------
% 6.73/2.02 % (2252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.02 % (2252)Termination reason: Unknown
% 6.73/2.02 % (2252)Termination phase: Saturation
% 6.73/2.02
% 6.73/2.02 % (2252)Memory used [KB]: 6268
% 6.73/2.02 % (2252)Time elapsed: 0.082 s
% 6.73/2.02 % (2252)Instructions burned: 260 (million)
% 6.73/2.02 % (2252)------------------------------
% 6.73/2.02 % (2252)------------------------------
% 6.73/2.02 % (2256)Instruction limit reached!
% 6.73/2.02 % (2256)------------------------------
% 6.73/2.02 % (2256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.02 % (2256)Termination reason: Unknown
% 6.73/2.02 % (2256)Termination phase: Saturation
% 6.73/2.02
% 6.73/2.02 % (2256)Memory used [KB]: 5756
% 6.73/2.02 % (2256)Time elapsed: 0.012 s
% 6.73/2.02 % (2256)Instructions burned: 32 (million)
% 6.73/2.02 % (2256)------------------------------
% 6.73/2.02 % (2256)------------------------------
% 6.73/2.02 % (2245)Instruction limit reached!
% 6.73/2.02 % (2245)------------------------------
% 6.73/2.02 % (2245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.02 % (2245)Termination reason: Unknown
% 6.73/2.02 % (2245)Termination phase: Saturation
% 6.73/2.02
% 6.73/2.02 % (2245)Memory used [KB]: 6524
% 6.73/2.02 % (2245)Time elapsed: 0.209 s
% 6.73/2.02 % (2245)Instructions burned: 616 (million)
% 6.73/2.02 % (2245)------------------------------
% 6.73/2.02 % (2245)------------------------------
% 6.73/2.03 % (2258)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_1977 for (2992ds/987Mi)
% 6.73/2.03 % (2259)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_1977 for (2992ds/182Mi)
% 6.73/2.03 % (2260)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_1977 for (2992ds/182Mi)
% 6.73/2.04 % (2226)Instruction limit reached!
% 6.73/2.04 % (2226)------------------------------
% 6.73/2.04 % (2226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.04 % (2226)Termination reason: Unknown
% 6.73/2.04 % (2226)Termination phase: Saturation
% 6.73/2.04
% 6.73/2.04 % (2226)Memory used [KB]: 6908
% 6.73/2.04 % (2226)Time elapsed: 0.364 s
% 6.73/2.04 % (2226)Instructions burned: 1087 (million)
% 6.73/2.04 % (2226)------------------------------
% 6.73/2.04 % (2226)------------------------------
% 6.73/2.05 % (2254)Instruction limit reached!
% 6.73/2.05 % (2254)------------------------------
% 6.73/2.05 % (2254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.05 % (2254)Termination reason: Unknown
% 6.73/2.05 % (2254)Termination phase: Saturation
% 6.73/2.05
% 6.73/2.05 % (2254)Memory used [KB]: 6140
% 6.73/2.05 % (2254)Time elapsed: 0.068 s
% 6.73/2.05 % (2254)Instructions burned: 231 (million)
% 6.73/2.05 % (2254)------------------------------
% 6.73/2.05 % (2254)------------------------------
% 6.73/2.06 % (2262)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_1977 for (2992ds/79Mi)
% 6.73/2.06 % (2261)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_1977 for (2992ds/154Mi)
% 6.73/2.08 % (2262)Instruction limit reached!
% 6.73/2.08 % (2262)------------------------------
% 6.73/2.08 % (2262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.08 % (2262)Termination reason: Unknown
% 6.73/2.08 % (2262)Termination phase: Saturation
% 6.73/2.08
% 6.73/2.08 % (2262)Memory used [KB]: 5756
% 6.73/2.08 % (2262)Time elapsed: 0.026 s
% 6.73/2.08 % (2262)Instructions burned: 79 (million)
% 6.73/2.08 % (2262)------------------------------
% 6.73/2.08 % (2262)------------------------------
% 6.73/2.09 % (2260)Instruction limit reached!
% 6.73/2.09 % (2260)------------------------------
% 6.73/2.09 % (2260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.09 % (2260)Termination reason: Unknown
% 6.73/2.09 % (2260)Termination phase: Saturation
% 6.73/2.09
% 6.73/2.09 % (2260)Memory used [KB]: 6012
% 6.73/2.09 % (2260)Time elapsed: 0.057 s
% 6.73/2.09 % (2260)Instructions burned: 183 (million)
% 6.73/2.09 % (2260)------------------------------
% 6.73/2.09 % (2260)------------------------------
% 6.73/2.09 % (2259)Instruction limit reached!
% 6.73/2.09 % (2259)------------------------------
% 6.73/2.09 % (2259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.09 % (2259)Termination reason: Unknown
% 6.73/2.09 % (2259)Termination phase: Saturation
% 6.73/2.09
% 6.73/2.09 % (2259)Memory used [KB]: 6140
% 6.73/2.09 % (2259)Time elapsed: 0.060 s
% 6.73/2.09 % (2259)Instructions burned: 182 (million)
% 6.73/2.09 % (2259)------------------------------
% 6.73/2.09 % (2259)------------------------------
% 6.73/2.09 % (2263)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_1977 for (2991ds/216Mi)
% 6.73/2.10 % (2264)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_1977 for (2991ds/114Mi)
% 6.73/2.10 % (2265)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_1977 for (2991ds/922Mi)
% 6.73/2.10 % (2257)Instruction limit reached!
% 6.73/2.10 % (2257)------------------------------
% 6.73/2.10 % (2257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.10 % (2257)Termination reason: Unknown
% 6.73/2.10 % (2257)Termination phase: Saturation
% 6.73/2.10
% 6.73/2.10 % (2257)Memory used [KB]: 6524
% 6.73/2.10 % (2257)Time elapsed: 0.089 s
% 6.73/2.10 % (2257)Instructions burned: 299 (million)
% 6.73/2.10 % (2257)------------------------------
% 6.73/2.10 % (2257)------------------------------
% 6.73/2.11 % (2266)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_1977 for (2991ds/182Mi)
% 7.25/2.11 % (2255)Refutation not found, non-redundant clauses discarded% (2255)------------------------------
% 7.25/2.11 % (2255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.11 % (2255)Termination reason: Refutation not found, non-redundant clauses discarded
% 7.25/2.11
% 7.25/2.11 % (2255)Memory used [KB]: 6524
% 7.25/2.11 % (2255)Time elapsed: 0.120 s
% 7.25/2.11 % (2255)Instructions burned: 394 (million)
% 7.25/2.11 % (2255)------------------------------
% 7.25/2.11 % (2255)------------------------------
% 7.25/2.12 % (2267)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_1977 for (2991ds/164Mi)
% 7.25/2.13 % (2264)Instruction limit reached!
% 7.25/2.13 % (2264)------------------------------
% 7.25/2.13 % (2264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.13 % (2264)Termination reason: Unknown
% 7.25/2.13 % (2264)Termination phase: Saturation
% 7.25/2.13
% 7.25/2.13 % (2264)Memory used [KB]: 6012
% 7.25/2.13 % (2264)Time elapsed: 0.034 s
% 7.25/2.13 % (2264)Instructions burned: 114 (million)
% 7.25/2.13 % (2264)------------------------------
% 7.25/2.13 % (2264)------------------------------
% 7.25/2.13 % (2261)Instruction limit reached!
% 7.25/2.13 % (2261)------------------------------
% 7.25/2.13 % (2261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.13 % (2261)Termination reason: Unknown
% 7.25/2.13 % (2261)Termination phase: Saturation
% 7.25/2.13
% 7.25/2.13 % (2261)Memory used [KB]: 6140
% 7.25/2.13 % (2261)Time elapsed: 0.074 s
% 7.25/2.13 % (2261)Instructions burned: 154 (million)
% 7.25/2.13 % (2261)------------------------------
% 7.25/2.13 % (2261)------------------------------
% 7.25/2.14 % (2268)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_1977 for (2991ds/50Mi)
% 7.25/2.14 % (2269)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_1977 for (2991ds/368Mi)
% 7.25/2.15 % (2263)Instruction limit reached!
% 7.25/2.15 % (2263)------------------------------
% 7.25/2.15 % (2263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.15 % (2263)Termination reason: Unknown
% 7.25/2.15 % (2263)Termination phase: Saturation
% 7.25/2.15
% 7.25/2.15 % (2263)Memory used [KB]: 6268
% 7.25/2.15 % (2263)Time elapsed: 0.066 s
% 7.25/2.15 % (2263)Instructions burned: 217 (million)
% 7.25/2.15 % (2263)------------------------------
% 7.25/2.15 % (2263)------------------------------
% 7.25/2.15 % (2268)Instruction limit reached!
% 7.25/2.15 % (2268)------------------------------
% 7.25/2.15 % (2268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.15 % (2268)Termination reason: Unknown
% 7.25/2.15 % (2268)Termination phase: Saturation
% 7.25/2.15
% 7.25/2.15 % (2268)Memory used [KB]: 10618
% 7.25/2.15 % (2268)Time elapsed: 0.017 s
% 7.25/2.15 % (2268)Instructions burned: 52 (million)
% 7.25/2.15 % (2268)------------------------------
% 7.25/2.15 % (2268)------------------------------
% 7.25/2.16 % (2266)Instruction limit reached!
% 7.25/2.16 % (2266)------------------------------
% 7.25/2.16 % (2266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.16 % (2266)Termination reason: Unknown
% 7.25/2.16 % (2266)Termination phase: Saturation
% 7.25/2.16
% 7.25/2.16 % (2266)Memory used [KB]: 5884
% 7.25/2.16 % (2266)Time elapsed: 0.054 s
% 7.25/2.16 % (2266)Instructions burned: 183 (million)
% 7.25/2.16 % (2266)------------------------------
% 7.25/2.16 % (2266)------------------------------
% 7.25/2.16 % (2270)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_1977 for (2991ds/1021Mi)
% 7.25/2.16 % (2271)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_1977 for (2991ds/267Mi)
% 7.25/2.17 % (2272)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_1977 for (2991ds/204Mi)
% 7.25/2.17 % (2267)Instruction limit reached!
% 7.25/2.17 % (2267)------------------------------
% 7.25/2.17 % (2267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.17 % (2267)Termination reason: Unknown
% 7.25/2.17 % (2267)Termination phase: Saturation
% 7.25/2.17
% 7.25/2.17 % (2267)Memory used [KB]: 1407
% 7.25/2.17 % (2267)Time elapsed: 0.050 s
% 7.25/2.17 % (2267)Instructions burned: 164 (million)
% 7.25/2.17 % (2267)------------------------------
% 7.25/2.17 % (2267)------------------------------
% 7.25/2.18 % (2273)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_1977 for (2991ds/26Mi)
% 7.25/2.19 % (2273)Instruction limit reached!
% 7.25/2.19 % (2273)------------------------------
% 7.25/2.19 % (2273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.19 % (2273)Termination reason: Unknown
% 7.25/2.19 % (2273)Termination phase: Saturation
% 7.25/2.19
% 7.25/2.19 % (2273)Memory used [KB]: 5628
% 7.25/2.19 % (2273)Time elapsed: 0.009 s
% 7.25/2.19 % (2273)Instructions burned: 27 (million)
% 7.25/2.19 % (2273)------------------------------
% 7.25/2.19 % (2273)------------------------------
% 7.62/2.20 % (2274)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_1977 for (2990ds/53Mi)
% 7.62/2.21 % (2274)Instruction limit reached!
% 7.62/2.21 % (2274)------------------------------
% 7.62/2.21 % (2274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.21 % (2274)Termination reason: Unknown
% 7.62/2.21 % (2274)Termination phase: Saturation
% 7.62/2.21
% 7.62/2.21 % (2274)Memory used [KB]: 6140
% 7.62/2.21 % (2274)Time elapsed: 0.016 s
% 7.62/2.21 % (2274)Instructions burned: 54 (million)
% 7.62/2.21 % (2274)------------------------------
% 7.62/2.21 % (2274)------------------------------
% 7.62/2.22 % (2275)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_1977 for (2990ds/4436Mi)
% 7.62/2.24 % (2272)Instruction limit reached!
% 7.62/2.24 % (2272)------------------------------
% 7.62/2.24 % (2272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.24 % (2272)Termination reason: Unknown
% 7.62/2.24 % (2272)Termination phase: Saturation
% 7.62/2.24
% 7.62/2.24 % (2272)Memory used [KB]: 6012
% 7.62/2.24 % (2272)Time elapsed: 0.065 s
% 7.62/2.24 % (2272)Instructions burned: 205 (million)
% 7.62/2.24 % (2272)------------------------------
% 7.62/2.24 % (2272)------------------------------
% 7.62/2.25 % (2271)Instruction limit reached!
% 7.62/2.25 % (2271)------------------------------
% 7.62/2.25 % (2271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.25 % (2271)Termination reason: Unknown
% 7.62/2.25 % (2271)Termination phase: Saturation
% 7.62/2.25
% 7.62/2.25 % (2271)Memory used [KB]: 6140
% 7.62/2.25 % (2271)Time elapsed: 0.082 s
% 7.62/2.25 % (2271)Instructions burned: 269 (million)
% 7.62/2.25 % (2271)------------------------------
% 7.62/2.25 % (2271)------------------------------
% 7.62/2.25 % (2276)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_1977 for (2990ds/1539Mi)
% 7.62/2.25 % (2277)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_1977 for (2990ds/408Mi)
% 7.62/2.27 % (2269)Instruction limit reached!
% 7.62/2.27 % (2269)------------------------------
% 7.62/2.27 % (2269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.62/2.27 % (2269)Termination reason: Unknown
% 7.62/2.27 % (2269)Termination phase: Saturation
% 7.62/2.27
% 7.62/2.27 % (2269)Memory used [KB]: 7291
% 7.62/2.27 % (2269)Time elapsed: 0.125 s
% 7.62/2.27 % (2269)Instructions burned: 370 (million)
% 7.62/2.27 % (2269)------------------------------
% 7.62/2.27 % (2269)------------------------------
% 7.62/2.28 % (2278)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_1977 for (2990ds/5205Mi)
% 7.94/2.31 % (2258)Instruction limit reached!
% 7.94/2.31 % (2258)------------------------------
% 7.94/2.31 % (2258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.94/2.31 % (2258)Termination reason: Unknown
% 7.94/2.31 % (2258)Termination phase: Saturation
% 7.94/2.31
% 7.94/2.31 % (2258)Memory used [KB]: 6652
% 7.94/2.31 % (2258)Time elapsed: 0.287 s
% 7.94/2.31 % (2258)Instructions burned: 989 (million)
% 7.94/2.31 % (2258)------------------------------
% 7.94/2.31 % (2258)------------------------------
% 7.94/2.32 % (2279)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_1977 for (2989ds/1913Mi)
% 7.94/2.37 % (2277)Instruction limit reached!
% 7.94/2.37 % (2277)------------------------------
% 7.94/2.37 % (2277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.94/2.37 % (2277)Termination reason: Unknown
% 7.94/2.37 % (2277)Termination phase: Saturation
% 7.94/2.37
% 7.94/2.37 % (2277)Memory used [KB]: 6780
% 7.94/2.37 % (2277)Time elapsed: 0.113 s
% 7.94/2.37 % (2277)Instructions burned: 409 (million)
% 7.94/2.37 % (2277)------------------------------
% 7.94/2.37 % (2277)------------------------------
% 7.94/2.38 % (2265)Instruction limit reached!
% 7.94/2.38 % (2265)------------------------------
% 7.94/2.38 % (2265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.94/2.38 % (2265)Termination reason: Unknown
% 7.94/2.38 % (2265)Termination phase: Saturation
% 7.94/2.38
% 7.94/2.38 % (2265)Memory used [KB]: 7419
% 7.94/2.38 % (2265)Time elapsed: 0.278 s
% 7.94/2.38 % (2265)Instructions burned: 922 (million)
% 7.94/2.38 % (2265)------------------------------
% 7.94/2.38 % (2265)------------------------------
% 7.94/2.38 % (2280)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_1977 for (2989ds/4350Mi)
% 7.94/2.39 % (2281)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_1977 for (2989ds/68Mi)
% 8.66/2.41 % (2281)Instruction limit reached!
% 8.66/2.41 % (2281)------------------------------
% 8.66/2.41 % (2281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.41 % (2281)Termination reason: Unknown
% 8.66/2.41 % (2281)Termination phase: Saturation
% 8.66/2.41
% 8.66/2.41 % (2281)Memory used [KB]: 6012
% 8.66/2.41 % (2281)Time elapsed: 0.023 s
% 8.66/2.41 % (2281)Instructions burned: 70 (million)
% 8.66/2.41 % (2281)------------------------------
% 8.66/2.41 % (2281)------------------------------
% 8.66/2.42 % (2282)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_1977 for (2988ds/358Mi)
% 8.66/2.47 % (2270)Instruction limit reached!
% 8.66/2.47 % (2270)------------------------------
% 8.66/2.47 % (2270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.47 % (2270)Termination reason: Unknown
% 8.66/2.47 % (2270)Termination phase: Saturation
% 8.66/2.47
% 8.66/2.47 % (2270)Memory used [KB]: 6908
% 8.66/2.47 % (2270)Time elapsed: 0.305 s
% 8.66/2.47 % (2270)Instructions burned: 1023 (million)
% 8.66/2.47 % (2270)------------------------------
% 8.66/2.47 % (2270)------------------------------
% 8.66/2.48 % (2283)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_1977 for (2988ds/31Mi)
% 8.66/2.49 % (2283)Instruction limit reached!
% 8.66/2.49 % (2283)------------------------------
% 8.66/2.49 % (2283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.49 % (2283)Termination reason: Unknown
% 8.66/2.49 % (2283)Termination phase: Saturation
% 8.66/2.49
% 8.66/2.49 % (2283)Memory used [KB]: 5756
% 8.66/2.49 % (2283)Time elapsed: 0.034 s
% 8.66/2.49 % (2283)Instructions burned: 31 (million)
% 8.66/2.49 % (2283)------------------------------
% 8.66/2.49 % (2283)------------------------------
% 9.02/2.50 % (2284)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_1977 for (2987ds/279Mi)
% 9.02/2.52 % (2282)Instruction limit reached!
% 9.02/2.52 % (2282)------------------------------
% 9.02/2.52 % (2282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.02/2.52 % (2282)Termination reason: Unknown
% 9.02/2.52 % (2282)Termination phase: Saturation
% 9.02/2.52
% 9.02/2.52 % (2282)Memory used [KB]: 6140
% 9.02/2.52 % (2282)Time elapsed: 0.130 s
% 9.02/2.52 % (2282)Instructions burned: 358 (million)
% 9.02/2.52 % (2282)------------------------------
% 9.02/2.52 % (2282)------------------------------
% 9.02/2.53 % (2285)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_1977 for (2987ds/258Mi)
% 9.02/2.58 % (2284)Instruction limit reached!
% 9.02/2.58 % (2284)------------------------------
% 9.02/2.58 % (2284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.02/2.58 % (2284)Termination reason: Unknown
% 9.02/2.58 % (2284)Termination phase: Saturation
% 9.02/2.58
% 9.02/2.58 % (2284)Memory used [KB]: 6012
% 9.02/2.58 % (2284)Time elapsed: 0.105 s
% 9.02/2.58 % (2284)Instructions burned: 279 (million)
% 9.02/2.58 % (2284)------------------------------
% 9.02/2.58 % (2284)------------------------------
% 9.02/2.59 % (2286)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_1977 for (2986ds/26Mi)
% 9.22/2.60 % (2286)Instruction limit reached!
% 9.22/2.60 % (2286)------------------------------
% 9.22/2.60 % (2286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.22/2.60 % (2286)Termination reason: Unknown
% 9.22/2.60 % (2286)Termination phase: Saturation
% 9.22/2.60
% 9.22/2.60 % (2286)Memory used [KB]: 5628
% 9.22/2.60 % (2286)Time elapsed: 0.009 s
% 9.22/2.60 % (2286)Instructions burned: 27 (million)
% 9.22/2.60 % (2286)------------------------------
% 9.22/2.60 % (2286)------------------------------
% 9.22/2.61 % (2287)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_1977 for (2986ds/995Mi)
% 9.22/2.61 % (2285)Instruction limit reached!
% 9.22/2.61 % (2285)------------------------------
% 9.22/2.61 % (2285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.22/2.61 % (2285)Termination reason: Unknown
% 9.22/2.61 % (2285)Termination phase: Saturation
% 9.22/2.61
% 9.22/2.61 % (2285)Memory used [KB]: 6140
% 9.22/2.61 % (2285)Time elapsed: 0.078 s
% 9.22/2.61 % (2285)Instructions burned: 259 (million)
% 9.22/2.61 % (2285)------------------------------
% 9.22/2.61 % (2285)------------------------------
% 9.22/2.61 % (2287)Refutation not found, incomplete strategy
% 9.22/2.61 % (2287)------------------------------
% 9.22/2.61 % (2287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.22/2.61 % (2287)Termination reason: Refutation not found, incomplete strategy
% 9.22/2.61
% 9.22/2.61
% 9.22/2.61 % (2287)Memory used [KB]: 5628
% 9.22/2.61 % (2287)Time elapsed: 0.006 s
% 9.22/2.61 % (2287)Instructions burned: 16 (million)
% 9.22/2.61 % (2287)------------------------------
% 9.22/2.61 % (2287)------------------------------
% 9.22/2.62 % (2288)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_1977 for (2986ds/373Mi)
% 9.22/2.62 % (2289)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_1977 for (2986ds/253Mi)
% 9.35/2.70 % (2289)Instruction limit reached!
% 9.35/2.70 % (2289)------------------------------
% 9.35/2.70 % (2289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.70 % (2289)Termination reason: Unknown
% 9.35/2.70 % (2289)Termination phase: Saturation
% 9.35/2.70
% 9.35/2.70 % (2289)Memory used [KB]: 6268
% 9.35/2.70 % (2289)Time elapsed: 0.082 s
% 9.35/2.70 % (2289)Instructions burned: 254 (million)
% 9.35/2.70 % (2289)------------------------------
% 9.35/2.70 % (2289)------------------------------
% 9.35/2.71 % (2290)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_1977 for (2985ds/832Mi)
% 9.35/2.72 % (2276)Instruction limit reached!
% 9.35/2.72 % (2276)------------------------------
% 9.35/2.72 % (2276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.72 % (2276)Termination reason: Unknown
% 9.35/2.72 % (2276)Termination phase: Saturation
% 9.35/2.72
% 9.35/2.72 % (2276)Memory used [KB]: 7803
% 9.35/2.72 % (2276)Time elapsed: 0.472 s
% 9.35/2.72 % (2276)Instructions burned: 1540 (million)
% 9.35/2.72 % (2276)------------------------------
% 9.35/2.72 % (2276)------------------------------
% 9.35/2.73 % (2291)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_1977 for (2985ds/668Mi)
% 9.35/2.74 % (2288)Instruction limit reached!
% 9.35/2.74 % (2288)------------------------------
% 9.35/2.74 % (2288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.74 % (2288)Termination reason: Unknown
% 9.35/2.74 % (2288)Termination phase: Saturation
% 9.35/2.74
% 9.35/2.74 % (2288)Memory used [KB]: 7036
% 9.35/2.74 % (2288)Time elapsed: 0.119 s
% 9.35/2.74 % (2288)Instructions burned: 375 (million)
% 9.35/2.74 % (2288)------------------------------
% 9.35/2.74 % (2288)------------------------------
% 9.35/2.75 % (2292)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_1977 for (2985ds/40Mi)
% 9.35/2.76 % (2292)Instruction limit reached!
% 9.35/2.76 % (2292)------------------------------
% 9.35/2.76 % (2292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.76 % (2292)Termination reason: Unknown
% 9.35/2.76 % (2292)Termination phase: Saturation
% 9.35/2.76
% 9.35/2.76 % (2292)Memory used [KB]: 5756
% 9.35/2.76 % (2292)Time elapsed: 0.014 s
% 9.35/2.76 % (2292)Instructions burned: 40 (million)
% 9.35/2.76 % (2292)------------------------------
% 9.35/2.76 % (2292)------------------------------
% 9.35/2.77 % (2293)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_1977 for (2985ds/294Mi)
% 10.08/2.86 % (2293)Instruction limit reached!
% 10.08/2.86 % (2293)------------------------------
% 10.08/2.86 % (2293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.08/2.86 % (2293)Termination reason: Unknown
% 10.08/2.86 % (2293)Termination phase: Saturation
% 10.08/2.86
% 10.08/2.86 % (2293)Memory used [KB]: 6396
% 10.08/2.86 % (2293)Time elapsed: 0.089 s
% 10.08/2.86 % (2293)Instructions burned: 294 (million)
% 10.08/2.86 % (2293)------------------------------
% 10.08/2.86 % (2293)------------------------------
% 10.08/2.87 % (2294)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_1977 for (2984ds/187Mi)
% 10.08/2.87 % (2279)Instruction limit reached!
% 10.08/2.87 % (2279)------------------------------
% 10.08/2.87 % (2279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.08/2.87 % (2279)Termination reason: Unknown
% 10.08/2.87 % (2279)Termination phase: Saturation
% 10.08/2.87
% 10.08/2.87 % (2279)Memory used [KB]: 2686
% 10.08/2.87 % (2279)Time elapsed: 0.550 s
% 10.08/2.87 % (2279)Instructions burned: 1914 (million)
% 10.08/2.87 % (2279)------------------------------
% 10.08/2.87 % (2279)------------------------------
% 10.08/2.88 % (2295)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_1977 for (2983ds/371Mi)
% 10.73/2.92 % (2294)Instruction limit reached!
% 10.73/2.92 % (2294)------------------------------
% 10.73/2.92 % (2294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.92 % (2294)Termination reason: Unknown
% 10.73/2.92 % (2294)Termination phase: Saturation
% 10.73/2.92
% 10.73/2.92 % (2294)Memory used [KB]: 6652
% 10.73/2.92 % (2294)Time elapsed: 0.057 s
% 10.73/2.92 % (2294)Instructions burned: 190 (million)
% 10.73/2.92 % (2294)------------------------------
% 10.73/2.92 % (2294)------------------------------
% 10.73/2.93 % (2291)Refutation not found, non-redundant clauses discarded% (2291)------------------------------
% 10.73/2.93 % (2291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.93 % (2291)Termination reason: Refutation not found, non-redundant clauses discarded
% 10.73/2.93
% 10.73/2.93 % (2291)Memory used [KB]: 11513
% 10.73/2.93 % (2291)Time elapsed: 0.205 s
% 10.73/2.93 % (2291)Instructions burned: 660 (million)
% 10.73/2.93 % (2291)------------------------------
% 10.73/2.93 % (2291)------------------------------
% 10.73/2.93 % (2296)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_1977 for (2983ds/1827Mi)
% 10.73/2.94 % (2297)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_1977 for (2983ds/70Mi)
% 10.73/2.95 % (2290)Instruction limit reached!
% 10.73/2.95 % (2290)------------------------------
% 10.73/2.95 % (2290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.95 % (2290)Termination reason: Unknown
% 10.73/2.95 % (2290)Termination phase: Saturation
% 10.73/2.95
% 10.73/2.95 % (2290)Memory used [KB]: 6908
% 10.73/2.95 % (2290)Time elapsed: 0.243 s
% 10.73/2.95 % (2290)Instructions burned: 833 (million)
% 10.73/2.95 % (2290)------------------------------
% 10.73/2.95 % (2290)------------------------------
% 10.73/2.96 % (2297)Instruction limit reached!
% 10.73/2.96 % (2297)------------------------------
% 10.73/2.96 % (2297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.96 % (2297)Termination reason: Unknown
% 10.73/2.96 % (2297)Termination phase: Saturation
% 10.73/2.96
% 10.73/2.96 % (2297)Memory used [KB]: 1663
% 10.73/2.96 % (2297)Time elapsed: 0.022 s
% 10.73/2.96 % (2297)Instructions burned: 71 (million)
% 10.73/2.96 % (2297)------------------------------
% 10.73/2.96 % (2297)------------------------------
% 10.73/2.96 % (2298)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_1977 for (2983ds/316Mi)
% 10.73/2.97 % (2299)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_1977 for (2983ds/932Mi)
% 10.73/2.99 % (2295)Instruction limit reached!
% 10.73/2.99 % (2295)------------------------------
% 10.73/2.99 % (2295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.73/2.99 % (2295)Termination reason: Unknown
% 10.73/2.99 % (2295)Termination phase: Saturation
% 10.73/2.99
% 10.73/2.99 % (2295)Memory used [KB]: 6524
% 10.73/2.99 % (2295)Time elapsed: 0.114 s
% 10.73/2.99 % (2295)Instructions burned: 372 (million)
% 10.73/2.99 % (2295)------------------------------
% 10.73/2.99 % (2295)------------------------------
% 10.73/3.00 % (2300)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_1977 for (2982ds/4714Mi)
% 13.83/3.06 % (2298)Instruction limit reached!
% 13.83/3.06 % (2298)------------------------------
% 13.83/3.06 % (2298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.83/3.06 % (2298)Termination reason: Unknown
% 13.83/3.06 % (2298)Termination phase: Saturation
% 13.83/3.06
% 13.83/3.06 % (2298)Memory used [KB]: 6908
% 13.83/3.06 % (2298)Time elapsed: 0.093 s
% 13.83/3.06 % (2298)Instructions burned: 316 (million)
% 13.83/3.06 % (2298)------------------------------
% 13.83/3.06 % (2298)------------------------------
% 13.83/3.07 % (2301)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_1977 for (2982ds/8250Mi)
% 14.93/3.22 % (2299)Instruction limit reached!
% 14.93/3.22 % (2299)------------------------------
% 14.93/3.22 % (2299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.93/3.22 % (2299)Termination reason: Unknown
% 14.93/3.22 % (2299)Termination phase: Saturation
% 14.93/3.22
% 14.93/3.22 % (2299)Memory used [KB]: 6524
% 14.93/3.22 % (2299)Time elapsed: 0.250 s
% 14.93/3.22 % (2299)Instructions burned: 932 (million)
% 14.93/3.22 % (2299)------------------------------
% 14.93/3.22 % (2299)------------------------------
% 14.93/3.23 % (2302)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_1977 for (2980ds/770Mi)
% 15.95/3.47 % (2302)Instruction limit reached!
% 15.95/3.47 % (2302)------------------------------
% 15.95/3.47 % (2302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.95/3.47 % (2302)Termination reason: Unknown
% 15.95/3.47 % (2302)Termination phase: Saturation
% 15.95/3.47
% 15.95/3.47 % (2302)Memory used [KB]: 7291
% 15.95/3.47 % (2302)Time elapsed: 0.246 s
% 15.95/3.47 % (2302)Instructions burned: 770 (million)
% 15.95/3.47 % (2302)------------------------------
% 15.95/3.47 % (2302)------------------------------
% 15.95/3.48 % (2303)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_1977 for (2977ds/794Mi)
% 15.95/3.49 % (2296)Instruction limit reached!
% 15.95/3.49 % (2296)------------------------------
% 15.95/3.49 % (2296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.95/3.49 % (2296)Termination reason: Unknown
% 15.95/3.49 % (2296)Termination phase: Saturation
% 15.95/3.49
% 15.95/3.49 % (2296)Memory used [KB]: 8187
% 15.95/3.49 % (2296)Time elapsed: 0.559 s
% 15.95/3.49 % (2296)Instructions burned: 1829 (million)
% 15.95/3.49 % (2296)------------------------------
% 15.95/3.49 % (2296)------------------------------
% 16.72/3.50 % (2304)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_1977 for (2977ds/464Mi)
% 16.72/3.55 % (2275)Instruction limit reached!
% 16.72/3.55 % (2275)------------------------------
% 16.72/3.55 % (2275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.72/3.55 % (2275)Termination reason: Unknown
% 16.72/3.55 % (2275)Termination phase: Saturation
% 16.72/3.55
% 16.72/3.55 % (2275)Memory used [KB]: 8571
% 16.72/3.55 % (2275)Time elapsed: 1.332 s
% 16.72/3.55 % (2275)Instructions burned: 4439 (million)
% 16.72/3.55 % (2275)------------------------------
% 16.72/3.55 % (2275)------------------------------
% 16.72/3.56 % (2305)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_1977 for (2977ds/1376Mi)
% 16.72/3.58 % (2278)Instruction limit reached!
% 16.72/3.58 % (2278)------------------------------
% 16.72/3.58 % (2278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.72/3.58 % (2278)Termination reason: Unknown
% 16.72/3.58 % (2278)Termination phase: Saturation
% 16.72/3.58
% 16.72/3.58 % (2278)Memory used [KB]: 9338
% 16.72/3.58 % (2278)Time elapsed: 1.311 s
% 16.72/3.58 % (2278)Instructions burned: 5208 (million)
% 16.72/3.58 % (2278)------------------------------
% 16.72/3.58 % (2278)------------------------------
% 16.72/3.60 % (2306)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_1977 for (2976ds/906Mi)
% 17.09/3.64 % (2280)Refutation not found, non-redundant clauses discarded% (2280)------------------------------
% 17.09/3.64 % (2280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.09/3.64 % (2280)Termination reason: Refutation not found, non-redundant clauses discarded
% 17.09/3.64
% 17.09/3.64 % (2280)Memory used [KB]: 11641
% 17.09/3.64 % (2280)Time elapsed: 1.263 s
% 17.09/3.64 % (2280)Instructions burned: 4194 (million)
% 17.09/3.64 % (2280)------------------------------
% 17.09/3.64 % (2280)------------------------------
% 17.09/3.64 % (2304)Instruction limit reached!
% 17.09/3.64 % (2304)------------------------------
% 17.09/3.64 % (2304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.09/3.64 % (2304)Termination reason: Unknown
% 17.09/3.64 % (2304)Termination phase: Saturation
% 17.09/3.64
% 17.09/3.64 % (2304)Memory used [KB]: 6396
% 17.09/3.64 % (2304)Time elapsed: 0.141 s
% 17.09/3.64 % (2304)Instructions burned: 464 (million)
% 17.09/3.64 % (2304)------------------------------
% 17.09/3.64 % (2304)------------------------------
% 17.09/3.65 % (2307)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_1977 for (2976ds/434Mi)
% 17.09/3.65 % (2308)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_1977 for (2976ds/865Mi)
% 17.39/3.73 % (2303)Instruction limit reached!
% 17.39/3.73 % (2303)------------------------------
% 17.39/3.73 % (2303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.39/3.73 % (2303)Termination reason: Unknown
% 17.39/3.73 % (2303)Termination phase: Saturation
% 17.39/3.73
% 17.39/3.73 % (2303)Memory used [KB]: 2430
% 17.39/3.73 % (2303)Time elapsed: 0.247 s
% 17.39/3.73 % (2303)Instructions burned: 796 (million)
% 17.39/3.73 % (2303)------------------------------
% 17.39/3.73 % (2303)------------------------------
% 17.39/3.74 % (2309)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_1977 for (2975ds/593Mi)
% 17.39/3.78 % (2307)Instruction limit reached!
% 17.39/3.78 % (2307)------------------------------
% 17.39/3.78 % (2307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.39/3.78 % (2307)Termination reason: Unknown
% 17.39/3.78 % (2307)Termination phase: Saturation
% 17.39/3.78
% 17.39/3.78 % (2307)Memory used [KB]: 6652
% 17.39/3.78 % (2307)Time elapsed: 0.135 s
% 17.39/3.78 % (2307)Instructions burned: 436 (million)
% 17.39/3.78 % (2307)------------------------------
% 17.39/3.78 % (2307)------------------------------
% 17.39/3.79 % (2310)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_1977 for (2974ds/443Mi)
% 17.89/3.89 % (2306)Instruction limit reached!
% 17.89/3.89 % (2306)------------------------------
% 17.89/3.89 % (2306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.89/3.89 % (2306)Termination reason: Unknown
% 17.89/3.89 % (2306)Termination phase: Saturation
% 17.89/3.89
% 17.89/3.89 % (2306)Memory used [KB]: 9722
% 17.89/3.89 % (2306)Time elapsed: 0.294 s
% 17.89/3.89 % (2306)Instructions burned: 906 (million)
% 17.89/3.89 % (2306)------------------------------
% 17.89/3.89 % (2306)------------------------------
% 18.29/3.90 % (2311)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_1977 for (2973ds/594Mi)
% 18.29/3.90 % (2308)Instruction limit reached!
% 18.29/3.90 % (2308)------------------------------
% 18.29/3.90 % (2308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.29/3.90 % (2308)Termination reason: Unknown
% 18.29/3.90 % (2308)Termination phase: Saturation
% 18.29/3.90
% 18.29/3.90 % (2308)Memory used [KB]: 8827
% 18.29/3.90 % (2308)Time elapsed: 0.253 s
% 18.29/3.90 % (2308)Instructions burned: 866 (million)
% 18.29/3.90 % (2308)------------------------------
% 18.29/3.90 % (2308)------------------------------
% 18.29/3.91 % (2312)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_1977 for (2973ds/327Mi)
% 18.29/3.93 % (2310)Instruction limit reached!
% 18.29/3.93 % (2310)------------------------------
% 18.29/3.93 % (2310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.29/3.93 % (2310)Termination reason: Unknown
% 18.29/3.93 % (2310)Termination phase: Saturation
% 18.29/3.93
% 18.29/3.93 % (2310)Memory used [KB]: 7036
% 18.29/3.93 % (2310)Time elapsed: 0.135 s
% 18.29/3.93 % (2310)Instructions burned: 444 (million)
% 18.29/3.93 % (2310)------------------------------
% 18.29/3.93 % (2310)------------------------------
% 18.29/3.93 % (2309)Instruction limit reached!
% 18.29/3.93 % (2309)------------------------------
% 18.29/3.93 % (2309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.29/3.93 % (2309)Termination reason: Unknown
% 18.29/3.93 % (2309)Termination phase: Saturation
% 18.29/3.93
% 18.29/3.93 % (2309)Memory used [KB]: 7164
% 18.29/3.93 % (2309)Time elapsed: 0.189 s
% 18.29/3.93 % (2309)Instructions burned: 595 (million)
% 18.29/3.93 % (2309)------------------------------
% 18.29/3.93 % (2309)------------------------------
% 18.29/3.94 % (2313)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_1977 for (2973ds/5411Mi)
% 18.29/3.94 % (2314)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_1977 for (2973ds/1762Mi)
% 18.29/3.95 % (2305)Instruction limit reached!
% 18.29/3.95 % (2305)------------------------------
% 18.29/3.95 % (2305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.29/3.95 % (2305)Termination reason: Unknown
% 18.29/3.95 % (2305)Termination phase: Saturation
% 18.29/3.95
% 18.29/3.95 % (2305)Memory used [KB]: 7419
% 18.29/3.95 % (2305)Time elapsed: 0.382 s
% 18.29/3.95 % (2305)Instructions burned: 1379 (million)
% 18.29/3.95 % (2305)------------------------------
% 18.29/3.95 % (2305)------------------------------
% 18.29/3.96 % (2315)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_1977 for (2973ds/96Mi)
% 18.29/3.99 % (2315)Instruction limit reached!
% 18.29/3.99 % (2315)------------------------------
% 18.29/3.99 % (2315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.29/3.99 % (2315)Termination reason: Unknown
% 18.29/3.99 % (2315)Termination phase: Saturation
% 18.29/3.99
% 18.29/3.99 % (2315)Memory used [KB]: 5884
% 18.29/3.99 % (2315)Time elapsed: 0.031 s
% 18.29/3.99 % (2315)Instructions burned: 98 (million)
% 18.29/3.99 % (2315)------------------------------
% 18.29/3.99 % (2315)------------------------------
% 18.29/3.99 % (2316)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_1977 for (2972ds/503Mi)
% 18.29/4.01 % (2312)Instruction limit reached!
% 18.29/4.01 % (2312)------------------------------
% 18.29/4.01 % (2312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.29/4.01 % (2312)Termination reason: Unknown
% 18.29/4.01 % (2312)Termination phase: Saturation
% 18.29/4.01
% 18.29/4.01 % (2312)Memory used [KB]: 7036
% 18.29/4.01 % (2312)Time elapsed: 0.100 s
% 18.29/4.01 % (2312)Instructions burned: 330 (million)
% 18.29/4.01 % (2312)------------------------------
% 18.29/4.01 % (2312)------------------------------
% 18.29/4.02 % (2317)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_1977 for (2972ds/90Mi)
% 20.84/4.05 % (2317)Instruction limit reached!
% 20.84/4.05 % (2317)------------------------------
% 20.84/4.05 % (2317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.84/4.05 % (2317)Termination reason: Unknown
% 20.84/4.05 % (2317)Termination phase: Saturation
% 20.84/4.05
% 20.84/4.05 % (2317)Memory used [KB]: 5884
% 20.84/4.05 % (2317)Time elapsed: 0.054 s
% 20.84/4.05 % (2317)Instructions burned: 92 (million)
% 20.84/4.05 % (2317)------------------------------
% 20.84/4.05 % (2317)------------------------------
% 20.84/4.06 % (2318)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_1977 for (2972ds/593Mi)
% 20.84/4.08 % (2311)Instruction limit reached!
% 20.84/4.08 % (2311)------------------------------
% 20.84/4.08 % (2311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.84/4.08 % (2311)Termination reason: Unknown
% 20.84/4.08 % (2311)Termination phase: Saturation
% 20.84/4.08
% 20.84/4.08 % (2311)Memory used [KB]: 6780
% 20.84/4.08 % (2311)Time elapsed: 0.182 s
% 20.84/4.08 % (2311)Instructions burned: 596 (million)
% 20.84/4.08 % (2311)------------------------------
% 20.84/4.08 % (2311)------------------------------
% 20.84/4.09 % (2319)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_1977 for (2972ds/1512Mi)
% 21.46/4.15 % (2316)Instruction limit reached!
% 21.46/4.15 % (2316)------------------------------
% 21.46/4.15 % (2316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.46/4.15 % (2316)Termination reason: Unknown
% 21.46/4.15 % (2316)Termination phase: Saturation
% 21.46/4.15
% 21.46/4.15 % (2316)Memory used [KB]: 7036
% 21.46/4.15 % (2316)Time elapsed: 0.160 s
% 21.46/4.15 % (2316)Instructions burned: 505 (million)
% 21.46/4.15 % (2316)------------------------------
% 21.46/4.15 % (2316)------------------------------
% 21.46/4.16 % (2320)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_1977 for (2971ds/569Mi)
% 21.79/4.24 % (2318)Instruction limit reached!
% 21.79/4.24 % (2318)------------------------------
% 21.79/4.24 % (2318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.79/4.24 % (2318)Termination reason: Unknown
% 21.79/4.24 % (2318)Termination phase: Saturation
% 21.79/4.24
% 21.79/4.24 % (2318)Memory used [KB]: 7036
% 21.79/4.24 % (2318)Time elapsed: 0.203 s
% 21.79/4.24 % (2318)Instructions burned: 593 (million)
% 21.79/4.24 % (2318)------------------------------
% 21.79/4.24 % (2318)------------------------------
% 21.79/4.25 % (2321)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_1977 for (2970ds/501Mi)
% 21.79/4.26 % (2314)First to succeed.
% 21.79/4.26 % (2314)Refutation found. Thanks to Tanya!
% 21.79/4.26 % SZS status Theorem for DTF2THF_1977
% 21.79/4.26 % SZS output start Proof for DTF2THF_1977
% 21.79/4.26 thf(func_def_15, type, sP0: $o > $o).
% 21.79/4.26 thf(func_def_17, type, ph2: !>[X0: $tType]:(X0)).
% 21.79/4.26 thf(func_def_18, type, sK3: ($i > $o) > $i > $o).
% 21.79/4.26 thf(func_def_20, type, sK5: ($i > $o) > ($i > $o) > $i).
% 21.79/4.26 thf(func_def_22, type, sK7: $i > $o).
% 21.79/4.26 thf(func_def_24, type, sK9: $i > $o).
% 21.79/4.26 thf(f4997,plain,(
% 21.79/4.26 $false),
% 21.79/4.26 inference(avatar_sat_refutation,[status(thm)],[f78,f3005,f4996])).
% 21.79/4.26 thf(f4996,plain,(
% 21.79/4.26 ~spl1_1 | ~spl1_2),
% 21.79/4.26 inference(avatar_contradiction_clause,[status(thm)],[f4995])).
% 21.79/4.26 thf(f4995,plain,(
% 21.79/4.26 $false | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(trivial_inequality_removal,[status(thm)],[f4994])).
% 21.79/4.26 thf(f4994,plain,(
% 21.79/4.26 ($true = $false) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(backward_demodulation,[status(thm)],[f4704,f4925])).
% 21.79/4.26 thf(f4925,plain,(
% 21.79/4.26 ((sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $false) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f4901])).
% 21.79/4.26 thf(f4901,plain,(
% 21.79/4.26 (((sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) & $true) = $false) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(superposition,[status(thm)],[f4366,f4009])).
% 21.79/4.26 thf(f4009,plain,(
% 21.79/4.26 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ Y0) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))))) @ Y0))))) | ~spl1_1),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f4006])).
% 21.79/4.26 thf(f4006,plain,(
% 21.79/4.26 (($true => (!! @ $i @ (^[Y0 : $i]: ((sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ Y0) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))))) @ Y0))))) = $true) | ~spl1_1),
% 21.79/4.26 inference(superposition,[status(thm)],[f42,f3566])).
% 21.79/4.26 thf(f3566,plain,(
% 21.79/4.26 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ Y0) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ Y0)))) = $true) | ~spl1_1),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f3562])).
% 21.79/4.26 thf(f3562,plain,(
% 21.79/4.26 (($true => (!! @ $i @ (^[Y0 : $i]: ((sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ Y0) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ Y0))))) = $true) | ~spl1_1),
% 21.79/4.26 inference(superposition,[status(thm)],[f42,f3432])).
% 21.79/4.26 thf(f3432,plain,(
% 21.79/4.26 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ (sK3 @ (sK3 @ sK9)) @ Y0) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ Y0)))) = $true) | ~spl1_1),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f3427])).
% 21.79/4.26 thf(f3427,plain,(
% 21.79/4.26 (($true => (!! @ $i @ (^[Y0 : $i]: ((sK3 @ (sK3 @ (sK3 @ sK9)) @ Y0) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ Y0))))) = $true) | ~spl1_1),
% 21.79/4.26 inference(superposition,[status(thm)],[f42,f3236])).
% 21.79/4.26 thf(f3236,plain,(
% 21.79/4.26 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ (sK3 @ sK9) @ Y0) => (sK3 @ (sK3 @ (sK3 @ sK9)) @ Y0)))) = $true) | ~spl1_1),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f3233])).
% 21.79/4.26 thf(f3233,plain,(
% 21.79/4.26 ($true = ($true => (!! @ $i @ (^[Y0 : $i]: ((sK3 @ (sK3 @ sK9) @ Y0) => (sK3 @ (sK3 @ (sK3 @ sK9)) @ Y0)))))) | ~spl1_1),
% 21.79/4.26 inference(superposition,[status(thm)],[f42,f3099])).
% 21.79/4.26 thf(f3099,plain,(
% 21.79/4.26 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK9 @ Y0) => (sK3 @ (sK3 @ sK9) @ Y0))))) | ~spl1_1),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f3096])).
% 21.79/4.26 thf(f3096,plain,(
% 21.79/4.26 (($true => (!! @ $i @ (^[Y0 : $i]: ((sK3 @ sK9 @ Y0) => (sK3 @ (sK3 @ sK9) @ Y0))))) = $true) | ~spl1_1),
% 21.79/4.26 inference(superposition,[status(thm)],[f42,f3065])).
% 21.79/4.26 thf(f3065,plain,(
% 21.79/4.26 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) => (sK3 @ sK9 @ Y0))))) | ~spl1_1),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f3064])).
% 21.79/4.26 thf(f3064,plain,(
% 21.79/4.26 (((!! @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) => (sK3 @ sK9 @ Y0)))) & $true) = $true) | ~spl1_1),
% 21.79/4.26 inference(backward_demodulation,[status(thm)],[f3015,f3054])).
% 21.79/4.26 thf(f3054,plain,(
% 21.79/4.26 ((sK9 @ sK4) = $true) | ~spl1_1),
% 21.79/4.26 inference(binary_proxy_clausification,[status(thm)],[f3015])).
% 21.79/4.26 thf(f3015,plain,(
% 21.79/4.26 (((!! @ $i @ (^[Y0 : $i]: ((sK9 @ Y0) => (sK3 @ sK9 @ Y0)))) & (sK9 @ sK4)) = $true) | ~spl1_1),
% 21.79/4.26 inference(beta_eta_normalization,[status(thm)],[f3013])).
% 21.79/4.26 thf(f3013,plain,(
% 21.79/4.26 (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4))) @ sK9) = $true) | ~spl1_1),
% 21.79/4.26 inference(sigma_clausification,[status(thm)],[f72])).
% 21.79/4.26 thf(f72,plain,(
% 21.79/4.26 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4)))) = $true) | ~spl1_1),
% 21.79/4.26 inference(avatar_component_clause,[status(thm)],[f71])).
% 21.79/4.26 thf(f71,definition,(
% 21.79/4.26 spl1_1 <=> ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4)))) = $true)),
% 21.79/4.26 introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition])).
% 21.79/4.26 thf(f42,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK3 @ X1 @ Y0) => (sK3 @ X2 @ Y0))))) = $true)) )),
% 21.79/4.26 inference(beta_eta_normalization,[status(thm)],[f40])).
% 21.79/4.26 thf(f40,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK3 @ X1 @ Y1) => (sK3 @ Y0 @ Y1)))))) @ X2))) )),
% 21.79/4.26 inference(pi_clausification,[status(thm)],[f39])).
% 21.79/4.26 thf(f39,plain,(
% 21.79/4.26 ( ! [X1 : $i > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK3 @ X1 @ Y1) => (sK3 @ Y0 @ Y1))))))) = $true)) )),
% 21.79/4.26 inference(beta_eta_normalization,[status(thm)],[f37])).
% 21.79/4.26 thf(f37,plain,(
% 21.79/4.26 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y0 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ X1) = $true)) )),
% 21.79/4.26 inference(pi_clausification,[status(thm)],[f25])).
% 21.79/4.26 thf(f25,plain,(
% 21.79/4.26 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y0 @ Y2) => (sK3 @ Y1 @ Y2))))))))) = $true)),
% 21.79/4.26 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 21.79/4.26 thf(f22,plain,(
% 21.79/4.26 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK3 @ Y0 @ Y2) => (sK3 @ Y1 @ Y2))))))))) => (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0))))) = $false)),
% 21.79/4.26 inference(beta_eta_normalization,[status(thm)],[f20])).
% 21.79/4.26 thf(f20,plain,(
% 21.79/4.26 ($false = ((^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))) @ sK3))),
% 21.79/4.26 inference(sigma_clausification,[status(thm)],[f17])).
% 21.79/4.26 thf(f17,plain,(
% 21.79/4.26 ((!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1))))))) = $false)),
% 21.79/4.26 inference(trivial_inequality_removal,[status(thm)],[f16])).
% 21.79/4.26 thf(f16,plain,(
% 21.79/4.26 ((!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1))))))) = $false) | ($true = $false)),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f14])).
% 21.79/4.26 thf(f14,plain,(
% 21.79/4.26 ((!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1))))))) = $false) | ((~ $true) = $true)),
% 21.79/4.26 inference(fool_paramodulation,[status(thm)],[f9])).
% 21.79/4.26 thf(f9,plain,(
% 21.79/4.26 ((~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))))) = $true)),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f6])).
% 21.79/4.26 thf(f6,plain,(
% 21.79/4.26 ((~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))))) = $true)),
% 21.79/4.26 inference(cnf_transformation,[status(thm)],[f5])).
% 21.79/4.26 thf(f5,plain,(
% 21.79/4.26 ((~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) = (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))) @ Y1)))))))) = $true)),
% 21.79/4.26 inference(fool_elimination,[status(thm)],[f4])).
% 21.79/4.26 thf(f4,plain,(
% 21.79/4.26 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o,X2 : $i > $o] : (! [X3 : $i] : ((X2 @ X3) => (X1 @ X3)) => ! [X4 : $i] : ((X0 @ X2 @ X4) => (X0 @ X1 @ X4))) & ! [X5 : $i > $o,X6 : $i > $o] : (! [X7 : $i] : ((X6 @ X7) => (X5 @ X7)) => ! [X8 : $i] : ((X0 @ X6 @ X8) => (X0 @ X5 @ X8)))) => ! [X9 : $i] : (? [X10 : $i > $o] : ((X10 @ X9) & ! [X11 : $i] : ((X10 @ X11) => (X0 @ X10 @ X11))) <=> (X0 @ (^[X12 : $i] : (? [X13 : $i > $o] : (! [X14 : $i] : ((X13 @ X14) => (X0 @ X13 @ X14)) & (X13 @ X12)))) @ X9)))),
% 21.79/4.26 inference(rectify,[status(thm)],[f2])).
% 21.79/4.26 thf(f2,negated_conjecture,(
% 21.79/4.26 ~! [X0 : ($i > $o) > $i > $o] : ((! [X2 : $i > $o,X1 : $i > $o] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) => ! [X3 : $i] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) & ! [X2 : $i > $o,X1 : $i > $o] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) => ! [X3 : $i] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3)))) => ! [X1 : $i] : (? [X4 : $i > $o] : ((X4 @ X1) & ! [X3 : $i] : ((X4 @ X3) => (X0 @ X4 @ X3))) <=> (X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : (! [X5 : $i] : ((X4 @ X5) => (X0 @ X4 @ X5)) & (X4 @ X3)))) @ X1)))),
% 21.79/4.26 inference(negated_conjecture,[status(cth)],[f1])).
% 21.79/4.26 thf(f1,conjecture,(
% 21.79/4.26 ! [X0 : ($i > $o) > $i > $o] : ((! [X2 : $i > $o,X1 : $i > $o] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) => ! [X3 : $i] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) & ! [X2 : $i > $o,X1 : $i > $o] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) => ! [X3 : $i] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3)))) => ! [X1 : $i] : (? [X4 : $i > $o] : ((X4 @ X1) & ! [X3 : $i] : ((X4 @ X3) => (X0 @ X4 @ X3))) <=> (X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : (! [X5 : $i] : ((X4 @ X5) => (X0 @ X4 @ X5)) & (X4 @ X3)))) @ X1)))),
% 21.79/4.26 file('/export/starexec/sandbox2/tmp/tmp.novlQkS81l/DTF2THF_1977.p',cTHM2A_EXPANDED_pme)).
% 21.79/4.26 thf(f4366,plain,(
% 21.79/4.26 ( ! [X1 : $i > $o] : ((((X1 @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) & (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK3 @ X1 @ Y0))))) = $false)) ) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(beta_eta_normalization,[status(thm)],[f4364])).
% 21.79/4.26 thf(f4364,plain,(
% 21.79/4.26 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((Y0 @ (sK5 @ sK9 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))))) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))) @ X1) = $false)) ) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(pi_clausification,[status(thm)],[f3875])).
% 21.79/4.26 thf(f3875,plain,(
% 21.79/4.26 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK5 @ sK9 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))))) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))))) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(trivial_inequality_removal,[status(thm)],[f3874])).
% 21.79/4.26 thf(f3874,plain,(
% 21.79/4.26 ($true = $false) | ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK5 @ sK9 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))))) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))))) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(forward_demodulation,[status(thm)],[f3872,f3054])).
% 21.79/4.26 thf(f3872,plain,(
% 21.79/4.26 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK5 @ sK9 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))))) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))))) | ((sK9 @ sK4) = $false) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(beta_eta_normalization,[status(thm)],[f3871])).
% 21.79/4.26 thf(f3871,plain,(
% 21.79/4.26 (((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $false) | ((sK9 @ sK4) = $false) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(trivial_inequality_removal,[status(thm)],[f3837])).
% 21.79/4.26 thf(f3837,plain,(
% 21.79/4.26 ((sK9 @ sK4) = $false) | (((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $false) | ($true = $false) | (~spl1_1 | ~spl1_2)),
% 21.79/4.26 inference(superposition,[status(thm)],[f77,f3196])).
% 21.79/4.26 thf(f3196,plain,(
% 21.79/4.26 ( ! [X0 : $i,X1 : $i > $o] : (((X1 @ (sK5 @ sK9 @ X1)) = $false) | ((sK3 @ X1 @ X0) = $true) | ((sK9 @ X0) = $false)) ) | ~spl1_1),
% 21.79/4.26 inference(trivial_inequality_removal,[status(thm)],[f3187])).
% 21.79/4.26 thf(f3187,plain,(
% 21.79/4.26 ( ! [X0 : $i,X1 : $i > $o] : (($true = $false) | ((X1 @ (sK5 @ sK9 @ X1)) = $false) | ((sK3 @ X1 @ X0) = $true) | ((sK9 @ X0) = $false)) ) | ~spl1_1),
% 21.79/4.26 inference(superposition,[status(thm)],[f1129,f3133])).
% 21.79/4.26 thf(f3133,plain,(
% 21.79/4.26 ( ! [X1 : $i] : (((sK3 @ sK9 @ X1) = $true) | ((sK9 @ X1) = $false)) ) | ~spl1_1),
% 21.79/4.26 inference(binary_proxy_clausification,[status(thm)],[f3101])).
% 21.79/4.26 thf(f3101,plain,(
% 21.79/4.26 ( ! [X1 : $i] : ((((sK9 @ X1) => (sK3 @ sK9 @ X1)) = $true)) ) | ~spl1_1),
% 21.79/4.26 inference(beta_eta_normalization,[status(thm)],[f3093])).
% 21.79/4.26 thf(f3093,plain,(
% 21.79/4.26 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK9 @ Y0) => (sK3 @ sK9 @ Y0))) @ X1) = $true)) ) | ~spl1_1),
% 21.79/4.26 inference(pi_clausification,[status(thm)],[f3065])).
% 21.79/4.26 thf(f1129,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X2 @ (sK5 @ X1 @ X2)) = $false) | ((sK3 @ X2 @ X3) = $true) | ((sK3 @ X1 @ X3) = $false)) )),
% 21.79/4.26 inference(trivial_inequality_removal,[status(thm)],[f1128])).
% 21.79/4.26 thf(f1128,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X2 @ (sK5 @ X1 @ X2)) = $false) | ($true = $false) | ((sK3 @ X2 @ X3) = $true) | ((sK3 @ X1 @ X3) = $false)) )),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f977])).
% 21.79/4.26 thf(f977,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : ((((X1 @ (sK5 @ X1 @ X2)) => $true) = $false) | ((X2 @ (sK5 @ X1 @ X2)) = $false) | ((sK3 @ X1 @ X3) = $false) | ((sK3 @ X2 @ X3) = $true)) )),
% 21.79/4.26 inference(fool_paramodulation,[status(thm)],[f109])).
% 21.79/4.26 thf(f109,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((sK3 @ X2 @ X3) = $true) | ($false = ((X1 @ (sK5 @ X1 @ X2)) => (X2 @ (sK5 @ X1 @ X2)))) | ((sK3 @ X1 @ X3) = $false)) )),
% 21.79/4.26 inference(beta_eta_normalization,[status(thm)],[f79])).
% 21.79/4.26 thf(f79,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((sK3 @ X1 @ X3) = $false) | ((sK3 @ X2 @ X3) = $true) | (((^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0))) @ (sK5 @ X1 @ X2)) = $false)) )),
% 21.79/4.26 inference(sigma_clausification,[status(thm)],[f65])).
% 21.79/4.26 thf(f65,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((sK3 @ X1 @ X3) = $false) | ((sK3 @ X2 @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 21.79/4.26 inference(boolean_simplification,[status(thm)],[f62])).
% 21.79/4.26 thf(f62,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((sK3 @ X1 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false) | (($true => (sK3 @ X2 @ X3)) = $true)) )),
% 21.79/4.26 inference(fool_paramodulation,[status(thm)],[f54])).
% 21.79/4.26 thf(f54,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : ((((sK3 @ X1 @ X3) => (sK3 @ X2 @ X3)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 21.79/4.26 inference(beta_eta_normalization,[status(thm)],[f49])).
% 21.79/4.26 thf(f49,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((sK3 @ X1 @ Y0) => (sK3 @ X2 @ Y0))) @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 21.79/4.26 inference(pi_clausification,[status(thm)],[f43])).
% 21.79/4.26 thf(f43,plain,(
% 21.79/4.26 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ X1 @ Y0) => (sK3 @ X2 @ Y0))))) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 21.79/4.26 inference(binary_proxy_clausification,[status(thm)],[f42])).
% 21.79/4.26 thf(f77,plain,(
% 21.79/4.26 ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK4) = $false) | ~spl1_2),
% 21.79/4.27 inference(avatar_component_clause,[status(thm)],[f75])).
% 21.79/4.27 thf(f75,definition,(
% 21.79/4.27 spl1_2 <=> ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK4) = $false)),
% 21.79/4.27 introduced(definition,[new_symbols(naming,[spl1_2])],[avatar_definition])).
% 21.79/4.27 thf(f4704,plain,(
% 21.79/4.27 ((sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $true) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f4699])).
% 21.79/4.27 thf(f4699,plain,(
% 21.79/4.27 (($true => (sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2))))))))))) = $true) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(superposition,[status(thm)],[f4013,f4692])).
% 21.79/4.27 thf(f4692,plain,(
% 21.79/4.27 ((sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $true) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f4686])).
% 21.79/4.27 thf(f4686,plain,(
% 21.79/4.27 ($true = ($true => (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))))) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(superposition,[status(thm)],[f3567,f4296])).
% 21.79/4.27 thf(f4296,plain,(
% 21.79/4.27 ((sK3 @ (sK3 @ (sK3 @ sK9)) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $true) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f4278])).
% 21.79/4.27 thf(f4278,plain,(
% 21.79/4.27 ($true = ($true => (sK3 @ (sK3 @ (sK3 @ sK9)) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))))) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(superposition,[status(thm)],[f3433,f4262])).
% 21.79/4.27 thf(f4262,plain,(
% 21.79/4.27 ((sK3 @ (sK3 @ sK9) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $true) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f4253])).
% 21.79/4.27 thf(f4253,plain,(
% 21.79/4.27 (($true => (sK3 @ (sK3 @ sK9) @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2))))))))))) = $true) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(superposition,[status(thm)],[f3237,f3960])).
% 21.79/4.27 thf(f3960,plain,(
% 21.79/4.27 ($true = (sK3 @ sK9 @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2))))))))))) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f3956])).
% 21.79/4.27 thf(f3956,plain,(
% 21.79/4.27 ($true = ($true => (sK3 @ sK9 @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))))) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(superposition,[status(thm)],[f3101,f3954])).
% 21.79/4.27 thf(f3954,plain,(
% 21.79/4.27 ((sK9 @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $true) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f3953])).
% 21.79/4.27 thf(f3953,plain,(
% 21.79/4.27 ((sK9 @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $true) | ($true = $false) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(forward_demodulation,[status(thm)],[f3935,f3054])).
% 21.79/4.27 thf(f3935,plain,(
% 21.79/4.27 ((sK9 @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $true) | ((sK9 @ sK4) = $false) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f3885])).
% 21.79/4.27 thf(f3885,plain,(
% 21.79/4.27 ((sK9 @ (sK5 @ sK9 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $true) | ($true = $false) | ((sK9 @ sK4) = $false) | (~spl1_1 | ~spl1_2)),
% 21.79/4.27 inference(superposition,[status(thm)],[f3202,f77])).
% 21.79/4.27 thf(f3202,plain,(
% 21.79/4.27 ( ! [X0 : $i,X1 : $i > $o] : (((sK9 @ (sK5 @ sK9 @ X1)) = $true) | ((sK3 @ X1 @ X0) = $true) | ((sK9 @ X0) = $false)) ) | ~spl1_1),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f3178])).
% 21.79/4.27 thf(f3178,plain,(
% 21.79/4.27 ( ! [X0 : $i,X1 : $i > $o] : (((sK3 @ X1 @ X0) = $true) | ((sK9 @ (sK5 @ sK9 @ X1)) = $true) | ($true = $false) | ((sK9 @ X0) = $false)) ) | ~spl1_1),
% 21.79/4.27 inference(superposition,[status(thm)],[f3133,f974])).
% 21.79/4.27 thf(f974,plain,(
% 21.79/4.27 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X1 @ (sK5 @ X1 @ X2)) = $true) | ((sK3 @ X1 @ X3) = $false) | ((sK3 @ X2 @ X3) = $true)) )),
% 21.79/4.27 inference(binary_proxy_clausification,[status(thm)],[f109])).
% 21.79/4.27 thf(f3237,plain,(
% 21.79/4.27 ( ! [X1 : $i] : ((((sK3 @ sK9 @ X1) => (sK3 @ (sK3 @ sK9) @ X1)) = $true)) ) | ~spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f3230])).
% 21.79/4.27 thf(f3230,plain,(
% 21.79/4.27 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK3 @ sK9 @ Y0) => (sK3 @ (sK3 @ sK9) @ Y0))) @ X1) = $true)) ) | ~spl1_1),
% 21.79/4.27 inference(pi_clausification,[status(thm)],[f3099])).
% 21.79/4.27 thf(f3433,plain,(
% 21.79/4.27 ( ! [X1 : $i] : ((((sK3 @ (sK3 @ sK9) @ X1) => (sK3 @ (sK3 @ (sK3 @ sK9)) @ X1)) = $true)) ) | ~spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f3424])).
% 21.79/4.27 thf(f3424,plain,(
% 21.79/4.27 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK3 @ (sK3 @ sK9) @ Y0) => (sK3 @ (sK3 @ (sK3 @ sK9)) @ Y0))) @ X1) = $true)) ) | ~spl1_1),
% 21.79/4.27 inference(pi_clausification,[status(thm)],[f3236])).
% 21.79/4.27 thf(f3567,plain,(
% 21.79/4.27 ( ! [X1 : $i] : ((((sK3 @ (sK3 @ (sK3 @ sK9)) @ X1) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ X1)) = $true)) ) | ~spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f3559])).
% 21.79/4.27 thf(f3559,plain,(
% 21.79/4.27 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK3 @ (sK3 @ (sK3 @ sK9)) @ Y0) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ Y0))) @ X1) = $true)) ) | ~spl1_1),
% 21.79/4.27 inference(pi_clausification,[status(thm)],[f3432])).
% 21.79/4.27 thf(f4013,plain,(
% 21.79/4.27 ( ! [X1 : $i] : ((((sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ X1) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ X1)) = $true)) ) | ~spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f4003])).
% 21.79/4.27 thf(f4003,plain,(
% 21.79/4.27 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9))) @ Y0) => (sK3 @ (sK3 @ (sK3 @ (sK3 @ (sK3 @ sK9)))) @ Y0))) @ X1) = $true)) ) | ~spl1_1),
% 21.79/4.27 inference(pi_clausification,[status(thm)],[f3566])).
% 21.79/4.27 thf(f3005,plain,(
% 21.79/4.27 spl1_1),
% 21.79/4.27 inference(avatar_contradiction_clause,[status(thm)],[f3004])).
% 21.79/4.27 thf(f3004,plain,(
% 21.79/4.27 $false | spl1_1),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f3003])).
% 21.79/4.27 thf(f3003,plain,(
% 21.79/4.27 ($true = $false) | spl1_1),
% 21.79/4.27 inference(backward_demodulation,[status(thm)],[f387,f2943])).
% 21.79/4.27 thf(f2943,plain,(
% 21.79/4.27 ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (sK3 @ sK7 @ Y0)))) = $false) | spl1_1),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f2931])).
% 21.79/4.27 thf(f2931,plain,(
% 21.79/4.27 (($true & (!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (sK3 @ sK7 @ Y0))))) = $false) | spl1_1),
% 21.79/4.27 inference(superposition,[status(thm)],[f2876,f2009])).
% 21.79/4.27 thf(f2009,plain,(
% 21.79/4.27 ((sK7 @ sK8) = $true) | spl1_1),
% 21.79/4.27 inference(binary_proxy_clausification,[status(thm)],[f2007])).
% 21.79/4.27 thf(f2007,plain,(
% 21.79/4.27 (((sK7 @ sK8) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK8) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))))) = $false) | spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f2004])).
% 21.79/4.27 thf(f2004,plain,(
% 21.79/4.27 (((^[Y0 : $i]: ((sK7 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2))))))))) @ sK8) = $false) | spl1_1),
% 21.79/4.27 inference(sigma_clausification,[status(thm)],[f1650])).
% 21.79/4.27 thf(f1650,plain,(
% 21.79/4.27 ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $false) | spl1_1),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f1649])).
% 21.79/4.27 thf(f1649,plain,(
% 21.79/4.27 ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $false) | ($true = $false) | spl1_1),
% 21.79/4.27 inference(forward_demodulation,[status(thm)],[f1640,f410])).
% 21.79/4.27 thf(f410,plain,(
% 21.79/4.27 ((sK7 @ sK6) = $true) | spl1_1),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f409])).
% 21.79/4.27 thf(f409,plain,(
% 21.79/4.27 (((sK7 @ sK6) & $true) = $true) | spl1_1),
% 21.79/4.27 inference(backward_demodulation,[status(thm)],[f365,f387])).
% 21.79/4.27 thf(f365,plain,(
% 21.79/4.27 (((sK7 @ sK6) & (!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (sK3 @ sK7 @ Y0))))) = $true) | spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f363])).
% 21.79/4.27 thf(f363,plain,(
% 21.79/4.27 (((^[Y0 : $i > $o]: ((Y0 @ sK6) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))) @ sK7) = $true) | spl1_1),
% 21.79/4.27 inference(sigma_clausification,[status(thm)],[f287])).
% 21.79/4.27 thf(f287,plain,(
% 21.79/4.27 ($true = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK6) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))))) | spl1_1),
% 21.79/4.27 inference(binary_proxy_clausification,[status(thm)],[f265])).
% 21.79/4.27 thf(f265,plain,(
% 21.79/4.27 (((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK6) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1))))))) => (sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK6)) = $false) | spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f263])).
% 21.79/4.27 thf(f263,plain,(
% 21.79/4.27 (((^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2))))))) => (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0))) @ sK6) = $false) | spl1_1),
% 21.79/4.27 inference(sigma_clausification,[status(thm)],[f239])).
% 21.79/4.27 thf(f239,plain,(
% 21.79/4.27 ((!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2))))))) => (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0)))) = $false) | spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f238])).
% 21.79/4.27 thf(f238,plain,(
% 21.79/4.27 ((!! @ $i @ (^[Y0 : $i]: (((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0) => (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0)))) = $false) | spl1_1),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f228])).
% 21.79/4.27 thf(f228,plain,(
% 21.79/4.27 ($true = $false) | ((!! @ $i @ (^[Y0 : $i]: (((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0) => (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0)))) = $false) | spl1_1),
% 21.79/4.27 inference(superposition,[status(thm)],[f221,f43])).
% 21.79/4.27 thf(f221,plain,(
% 21.79/4.27 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0) => (sK3 @ (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3))))))))) @ Y0)))) = $false) | spl1_1),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f216])).
% 21.79/4.27 thf(f216,plain,(
% 21.79/4.27 (((!! @ $i @ (^[Y0 : $i]: ((sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0) => (sK3 @ (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3))))))))) @ Y0)))) & $true) = $false) | spl1_1),
% 21.79/4.27 inference(superposition,[status(thm)],[f116,f123])).
% 21.79/4.27 thf(f123,plain,(
% 21.79/4.27 ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK4) = $true) | spl1_1),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f120])).
% 21.79/4.27 thf(f120,plain,(
% 21.79/4.27 ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK4) = $true) | ($true = $false) | spl1_1),
% 21.79/4.27 inference(backward_demodulation,[status(thm)],[f67,f117])).
% 21.79/4.27 thf(f117,plain,(
% 21.79/4.27 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4)))) = $false) | spl1_1),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f115])).
% 21.79/4.27 thf(f115,plain,(
% 21.79/4.27 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4)))) = $false) | ($true != $true) | spl1_1),
% 21.79/4.27 inference(fool_paramodulation,[status(thm)],[f73])).
% 21.79/4.27 thf(f73,plain,(
% 21.79/4.27 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4)))) != $true) | spl1_1),
% 21.79/4.27 inference(avatar_component_clause,[status(thm)],[f71])).
% 21.79/4.27 thf(f67,plain,(
% 21.79/4.27 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4)))) = $true) | ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK4) = $true)),
% 21.79/4.27 inference(binary_proxy_clausification,[status(thm)],[f60])).
% 21.79/4.27 thf(f60,plain,(
% 21.79/4.27 ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK4) != (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4)))))),
% 21.79/4.27 inference(binary_proxy_clausification,[status(thm)],[f59])).
% 21.79/4.27 thf(f59,plain,(
% 21.79/4.27 (((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4)))) = (sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK4)) = $false)),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f56])).
% 21.79/4.27 thf(f56,plain,(
% 21.79/4.27 (((^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0))) @ sK4) = $false)),
% 21.79/4.27 inference(sigma_clausification,[status(thm)],[f34])).
% 21.79/4.27 thf(f34,plain,(
% 21.79/4.27 ((!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0)))) = $false)),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f33])).
% 21.79/4.27 thf(f33,plain,(
% 21.79/4.27 (($true => (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))) & (Y1 @ Y0)))) = (sK3 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0))))) = $false)),
% 21.79/4.27 inference(backward_demodulation,[status(thm)],[f22,f25])).
% 21.79/4.27 thf(f116,plain,(
% 21.79/4.27 ( ! [X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK3 @ X1 @ Y0)))) & (X1 @ sK4)) = $false)) ) | spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f114])).
% 21.79/4.27 thf(f114,plain,(
% 21.79/4.27 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4))) @ X1) = $false)) ) | spl1_1),
% 21.79/4.27 inference(pi_clausification,[status(thm)],[f73])).
% 21.79/4.27 thf(f1640,plain,(
% 21.79/4.27 ((sK7 @ sK6) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))))) = $false) | spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f1639])).
% 21.79/4.27 thf(f1639,plain,(
% 21.79/4.27 ((sK7 @ sK6) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0)))) = $false) | spl1_1),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f1615])).
% 21.79/4.27 thf(f1615,plain,(
% 21.79/4.27 ($true = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK3 @ Y2 @ Y3)))))))) @ Y0)))) = $false) | ((sK7 @ sK6) = $false) | spl1_1),
% 21.79/4.27 inference(superposition,[status(thm)],[f305,f615])).
% 21.79/4.27 thf(f615,plain,(
% 21.79/4.27 ( ! [X0 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (X1 @ Y0)))) = $false) | ((sK3 @ X1 @ X0) = $true) | ((sK7 @ X0) = $false)) ) | spl1_1),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f602])).
% 21.79/4.27 thf(f602,plain,(
% 21.79/4.27 ( ! [X0 : $i,X1 : $i > $o] : (((sK3 @ X1 @ X0) = $true) | ($true = $false) | ((sK7 @ X0) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (X1 @ Y0)))) = $false)) ) | spl1_1),
% 21.79/4.27 inference(superposition,[status(thm)],[f578,f65])).
% 21.79/4.27 thf(f578,plain,(
% 21.79/4.27 ( ! [X1 : $i] : (((sK3 @ sK7 @ X1) = $true) | ((sK7 @ X1) = $false)) ) | spl1_1),
% 21.79/4.27 inference(binary_proxy_clausification,[status(thm)],[f571])).
% 21.79/4.27 thf(f571,plain,(
% 21.79/4.27 ( ! [X1 : $i] : (($true = ((sK7 @ X1) => (sK3 @ sK7 @ X1)))) ) | spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f542])).
% 21.79/4.27 thf(f542,plain,(
% 21.79/4.27 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK7 @ Y0) => (sK3 @ sK7 @ Y0))) @ X1))) ) | spl1_1),
% 21.79/4.27 inference(pi_clausification,[status(thm)],[f387])).
% 21.79/4.27 thf(f305,plain,(
% 21.79/4.27 ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK6) = $false) | spl1_1),
% 21.79/4.27 inference(trivial_inequality_removal,[status(thm)],[f302])).
% 21.79/4.27 thf(f302,plain,(
% 21.79/4.27 ($true = $false) | ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK6) = $false) | spl1_1),
% 21.79/4.27 inference(backward_demodulation,[status(thm)],[f301,f287])).
% 21.79/4.27 thf(f301,plain,(
% 21.79/4.27 ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK6) = $false) | ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK6) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))))) | spl1_1),
% 21.79/4.27 inference(boolean_simplification,[status(thm)],[f288])).
% 21.79/4.27 thf(f288,plain,(
% 21.79/4.27 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK6) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))))) | (($true => (sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK6)) = $false) | spl1_1),
% 21.79/4.27 inference(fool_paramodulation,[status(thm)],[f265])).
% 21.79/4.27 thf(f2876,plain,(
% 21.79/4.27 ( ! [X1 : $i > $o] : ((((X1 @ sK8) & (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK3 @ X1 @ Y0))))) = $false)) ) | spl1_1),
% 21.79/4.27 inference(beta_eta_normalization,[status(thm)],[f2874])).
% 21.79/4.27 thf(f2874,plain,(
% 21.79/4.27 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((Y0 @ sK8) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))))) @ X1) = $false)) ) | spl1_1),
% 21.79/4.27 inference(pi_clausification,[status(thm)],[f2008])).
% 21.79/4.27 thf(f2008,plain,(
% 21.79/4.27 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK8) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1))))))) = $false) | spl1_1),
% 21.79/4.27 inference(binary_proxy_clausification,[status(thm)],[f2007])).
% 21.79/4.27 thf(f387,plain,(
% 21.79/4.27 ((!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (sK3 @ sK7 @ Y0)))) = $true) | spl1_1),
% 21.79/4.27 inference(binary_proxy_clausification,[status(thm)],[f365])).
% 21.79/4.27 thf(f78,plain,(
% 21.79/4.27 ~spl1_1 | spl1_2),
% 21.79/4.27 inference(avatar_split_clause,[status(thm)],[f69,f75,f71])).
% 21.79/4.27 thf(f69,plain,(
% 21.79/4.27 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK3 @ Y0 @ Y1)))) & (Y0 @ sK4)))) != $true) | ((sK3 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK3 @ Y1 @ Y2)))))))) @ sK4) = $false)),
% 21.79/4.27 inference(fool_paramodulation,[status(thm)],[f60])).
% 21.79/4.27 % SZS output end Proof for DTF2THF_1977
% 21.79/4.27 % (2314)------------------------------
% 21.79/4.27 % (2314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.79/4.27 % (2314)Termination reason: Refutation
% 21.79/4.27
% 21.79/4.27 % (2314)Memory used [KB]: 7164
% 21.79/4.27 % (2314)Time elapsed: 0.327 s
% 21.79/4.27 % (2314)Instructions burned: 1093 (million)
% 21.79/4.27 % (2314)------------------------------
% 21.79/4.27 % (2314)------------------------------
% 21.79/4.27 % (2178)Success in time 2.996 s
%------------------------------------------------------------------------------