%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV267^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n021.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 09:40:42 AM UTC 2026
% Result : Theorem 23.24s 4.59s
% Output : Refutation 23.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 7
% Syntax : Number of formulae : 152 ( 20 unt; 0 typ; 6 def)
% Number of atoms : 1425 ( 285 equ; 0 cnn)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 2620 ( 150 ~; 282 |; 237 &;1445 @)
% ( 9 <=>; 224 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 365 ( 365 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 22 usr; 12 con; 0-2 aty)
% ( 191 !!; 82 ??; 0 @@+; 0 @@-)
% Number of variables : 470 ( 320 ^; 141 !; 9 ?; 470 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_18,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
sK2: ( a > $o ) > $o ).
thf(func_def_20,type,
sK3: a > $o ).
thf(func_def_21,type,
sK4: a ).
thf(func_def_22,type,
sK5: ( a > $o ) > a > $o ).
thf(func_def_23,type,
sK6: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_24,type,
sK7: a ).
thf(func_def_25,type,
sK8: a > a > $o ).
thf(func_def_26,type,
sK9: a > a > $o ).
thf(func_def_27,type,
sK10: ( a > $o ) > a ).
thf(func_def_28,type,
sK11: ( a > $o ) > a ).
thf(func_def_29,type,
sK12: ( a > $o ) > a ).
thf(func_def_30,type,
sK13: ( a > $o ) > a ).
thf(func_def_31,type,
sK14: ( a > $o ) > a > $o ).
thf(func_def_32,type,
sK15: ( a > $o ) > a > $o ).
thf(func_def_33,type,
sK16: ( a > $o ) > a > $o ).
thf(f1248,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f118,f123,f137,f142,f150,f411,f1215,f1234]) ).
thf(f1234,plain,
( ~ spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[status(thm)],[f1233]) ).
thf(f1233,plain,
( $false
| ~ spl0_4
| spl0_6 ),
inference(subsumption_resolution,[status(thm)],[f338,f327]) ).
thf(f327,plain,
( ! [X0: a > $o] :
( ( $true
= ( X0 @ ( sK13 @ X0 ) ) )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(boolean_simplification,[status(thm)],[f326]) ).
thf(f326,plain,
( ! [X0: a > $o] :
( ( ( sK3 @ ( sK13 @ X0 ) )
= $true )
| ( ( $true
=> ( X0 @ ( sK13 @ X0 ) ) )
= $true ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[status(thm)],[f323]) ).
thf(f323,plain,
( ! [X0: a > $o] :
( ( ( sK3 @ ( sK13 @ X0 ) )
= $true )
| ( ( $true
=> ( X0 @ ( sK13 @ X0 ) ) )
= $true )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f301,f306]) ).
thf(f306,plain,
( ! [X0: a > $o] :
( ( $true
= ( sK14 @ X0 @ ( sK13 @ X0 ) ) )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(boolean_simplification,[status(thm)],[f304]) ).
thf(f304,plain,
( ! [X0: a > $o] :
( ( ( sK3 @ ( sK13 @ X0 ) )
= $true )
| ( ( ( sK14 @ X0 @ ( sK13 @ X0 ) )
& $true )
= $true ) )
| ~ spl0_4 ),
inference(backward_subsumption_demodulation,[status(thm)],[f300,f302]) ).
thf(f302,plain,
( ! [X0: a > $o] :
( ( ( sK2 @ ( sK14 @ X0 ) )
= $true )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f300]) ).
thf(f300,plain,
( ! [X0: a > $o] :
( ( $true
= ( ( sK14 @ X0 @ ( sK13 @ X0 ) )
& ( sK2 @ ( sK14 @ X0 ) ) ) )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(boolean_simplification,[status(thm)],[f298]) ).
thf(f298,plain,
( ! [X0: a > $o] :
( ( ( ( sK14 @ X0 @ ( sK13 @ X0 ) )
& ( sK2 @ ( sK14 @ X0 ) )
& $true )
= $true )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(backward_subsumption_demodulation,[status(thm)],[f291,f294]) ).
thf(f294,plain,
( ! [X0: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK14 @ X0 @ Y0 )
=> ( X0 @ Y0 ) ) )
= $true )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f291]) ).
thf(f291,plain,
( ! [X0: a > $o] :
( ( ( ( sK14 @ X0 @ ( sK13 @ X0 ) )
& ( sK2 @ ( sK14 @ X0 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK14 @ X0 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f289]) ).
thf(f289,plain,
( ! [X0: a > $o] :
( ( ( sK3 @ ( sK13 @ X0 ) )
= $true )
| ( ( ^ [Y0: a > $o] :
( ( Y0 @ ( sK13 @ X0 ) )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ ( sK14 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f287]) ).
thf(f287,plain,
( ! [X0: a > $o] :
( ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ ( sK13 @ X0 ) )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) ) )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f286]) ).
thf(f286,plain,
( ! [X0: a > $o] :
( ( sK3 @ ( sK13 @ X0 ) )
!= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ ( sK13 @ X0 ) )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f285]) ).
thf(f285,plain,
( ! [X0: a > $o] :
( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) )
@ ( sK13 @ X0 ) )
!= ( sK3 @ ( sK13 @ X0 ) ) )
| ~ spl0_4 ),
inference(negative_extensionality,[status(thm)],[f284]) ).
thf(f284,plain,
( ! [X0: a > $o] :
( sK3
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f283]) ).
thf(f283,plain,
( ! [X0: a > $o] :
( ( sK3
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) )
| ( $false = $true ) )
| ~ spl0_4 ),
inference(boolean_simplification,[status(thm)],[f282]) ).
thf(f282,plain,
( ! [X0: a > $o] :
( ( sK3
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) )
| ( $false = ( ~ $false ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[status(thm)],[f281]) ).
thf(f281,plain,
( ! [X0: a > $o] :
( ( $false
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( sK5 @ X0 @ Y0 )
=> ( X0 @ Y0 ) ) )
& $false ) ) )
| ( sK3
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[status(thm)],[f278]) ).
thf(f278,plain,
( ! [X0: a > $o] :
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK5 @ X0 @ Y0 )
=> ( X0 @ Y0 ) ) )
& $false )
=> $false ) )
| ( sK3
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(backward_subsumption_demodulation,[status(thm)],[f264,f274]) ).
thf(f274,plain,
( ! [X0: a > $o] :
( ( sK3
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) )
| ( $false
= ( sK2 @ ( sK5 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f264]) ).
thf(f264,plain,
( ! [X0: a > $o] :
( ( sK3
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) )
| ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK5 @ X0 @ Y0 )
=> ( X0 @ Y0 ) ) )
& ( sK2 @ ( sK5 @ X0 ) ) )
=> ( sK2 @ ( sK5 @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f262]) ).
thf(f262,plain,
( ! [X0: a > $o] :
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
& ( sK2 @ Y0 ) )
=> ( sK2 @ Y0 ) )
@ ( sK5 @ X0 ) ) )
| ( sK3
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f243]) ).
thf(f243,plain,
( ! [X0: a > $o] :
( ( sK3
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
& ( sK2 @ Y0 ) )
=> ( sK2 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[status(thm)],[f229]) ).
thf(f229,plain,
( ! [X0: a > $o] :
( ( $false
= ( sK3
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) ) )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
& ( sK2 @ Y0 ) )
=> ( sK2 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f222]) ).
thf(f222,plain,
( ! [X0: a > $o] :
( $false
= ( ( sK3
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
& ( sK2 @ Y0 ) )
=> ( sK2 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(not_proxy_clausification,[status(thm)],[f151]) ).
thf(f151,plain,
( ! [X0: a > $o] :
( ( ~ ( ( sK3
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
& ( sK2 @ Y0 ) )
=> ( sK2 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_4 ),
inference(boolean_simplification,[status(thm)],[f148]) ).
thf(f148,plain,
( ! [X0: a > $o] :
( ( ( ( sK3
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
& ( sK2 @ Y0 ) )
=> ( sK2 @ Y0 ) ) ) )
=> $false )
= $true )
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f47,f38]) ).
thf(f38,plain,
( ( $false
= ( sK2 @ sK3 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f36]) ).
thf(f36,definition,
( spl0_4
<=> ( $false
= ( sK2 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f47,plain,
! [X2: a > $o,X1: a > $o] :
( ( ( ( X2
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X1 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
& ( sK2 @ Y0 ) )
=> ( sK2 @ Y0 ) ) ) )
=> ( sK2 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f46]) ).
thf(f46,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( Y0
= ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( X1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X1 @ Y2 ) ) )
& ( sK2 @ Y1 ) )
=> ( sK2 @ Y1 ) ) ) )
=> ( sK2 @ Y0 ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f43]) ).
thf(f43,plain,
! [X1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0
= ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( X1 @ Y3 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( X1 @ Y2 ) ) )
& ( sK2 @ Y1 ) )
=> ( sK2 @ Y1 ) ) ) )
=> ( sK2 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f41]) ).
thf(f41,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y2 )
& ( sK2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) )
& ( sK2 @ Y2 ) )
=> ( sK2 @ Y2 ) ) ) )
=> ( sK2 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y2 )
& ( sK2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) )
& ( sK2 @ Y2 ) )
=> ( sK2 @ Y2 ) ) ) )
=> ( sK2 @ Y1 ) ) ) )
= $true ),
inference(not_proxy_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
( $false
= ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y2 )
& ( sK2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) )
& ( sK2 @ Y2 ) )
=> ( sK2 @ Y2 ) ) ) )
=> ( sK2 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f14]) ).
thf(f14,plain,
( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y2 )
& ( sK2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) )
& ( sK2 @ Y2 ) )
=> ( sK2 @ Y2 ) ) ) )
=> ( sK2 @ Y1 ) ) ) )
=> $false ) ),
inference(backward_demodulation,[status(thm)],[f10,f12]) ).
thf(f12,plain,
( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
= ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y1 )
& ( sK2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1
= ( ^ [Y2: a] :
( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y2 )
& ( sK2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y4 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) )
& ( sK2 @ Y2 ) )
=> ( sK2 @ Y2 ) ) ) )
=> ( sK2 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
= ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y1 )
& ( sK2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f9]) ).
thf(f9,plain,
( $false
= ( ^ [Y0: ( a > $o ) > $o] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2
= ( ^ [Y3: a] :
( ?? @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y4 @ Y3 )
& ( Y0 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y1 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) )
& ( Y0 @ Y3 ) )
=> ( Y0 @ Y3 ) ) ) )
=> ( Y0 @ Y2 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
= ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y4 @ Y2 )
& ( Y0 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $false
= ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2
= ( ^ [Y3: a] :
( ?? @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y4 @ Y3 )
& ( Y0 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y1 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) )
& ( Y0 @ Y3 ) )
=> ( Y0 @ Y3 ) ) ) )
=> ( Y0 @ Y2 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
= ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y4 @ Y2 )
& ( Y0 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2
= ( ^ [Y3: a] :
( ?? @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y4 @ Y3 )
& ( Y0 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y1 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) )
& ( Y0 @ Y3 ) )
=> ( Y0 @ Y3 ) ) ) )
=> ( Y0 @ Y2 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
= ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y4 @ Y2 )
& ( Y0 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ ( ( a > $o ) > $o )
@ ^ [Y0: ( a > $o ) > $o] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2
= ( ^ [Y3: a] :
( ?? @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y4 @ Y3 )
& ( Y0 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y1 @ Y5 ) ) ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) )
& ( Y0 @ Y3 ) )
=> ( Y0 @ Y3 ) ) ) )
=> ( Y0 @ Y2 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
= ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( Y4 @ Y2 )
& ( Y0 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a > $o,X2: a > $o] :
( ( ! [X3: a > $o] :
( ( ( X0 @ X3 )
& ! [X4: a] :
( ( X3 @ X4 )
=> ( X2 @ X4 ) ) )
=> ( X0 @ X3 ) )
& ( X1
= ( ^ [X5: a] :
? [X6: a > $o] :
( ! [X7: a] :
( ( X6 @ X7 )
=> ( X2 @ X7 ) )
& ( X0 @ X6 )
& ( X6 @ X5 ) ) ) ) )
=> ( X0 @ X1 ) )
=> ! [X8: a > $o] :
( ( X0 @ X8 )
<=> ! [X9: a] :
( ( X8 @ X9 )
=> ? [X10: a > $o] :
( ? [X11: a > $o] :
( ! [X12: a] :
( ( X11 @ X12 )
=> ( X10 @ X12 ) )
& ( X0 @ X11 )
& ( X11 @ X9 ) )
& ! [X13: a] :
( ( X10 @ X13 )
=> ( X8 @ X13 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > $o ) > $o] :
( ! [X2: a > $o,X1: a > $o] :
( ( ! [X3: a > $o] :
( ( ( X0 @ X3 )
& ! [X4: a] :
( ( X3 @ X4 )
=> ( X1 @ X4 ) ) )
=> ( X0 @ X3 ) )
& ( X2
= ( ^ [X3: a] :
? [X5: a > $o] :
( ! [X4: a] :
( ( X5 @ X4 )
=> ( X1 @ X4 ) )
& ( X0 @ X5 )
& ( X5 @ X3 ) ) ) ) )
=> ( X0 @ X2 ) )
=> ! [X1: a > $o] :
( ( X0 @ X1 )
<=> ! [X3: a] :
( ( X1 @ X3 )
=> ? [X2: a > $o] :
( ? [X6: a > $o] :
( ! [X4: a] :
( ( X6 @ X4 )
=> ( X2 @ X4 ) )
& ( X0 @ X6 )
& ( X6 @ X3 ) )
& ! [X4: a] :
( ( X2 @ X4 )
=> ( X1 @ X4 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > $o ) > $o] :
( ! [X2: a > $o,X1: a > $o] :
( ( ! [X3: a > $o] :
( ( ( X0 @ X3 )
& ! [X4: a] :
( ( X3 @ X4 )
=> ( X1 @ X4 ) ) )
=> ( X0 @ X3 ) )
& ( X2
= ( ^ [X3: a] :
? [X5: a > $o] :
( ! [X4: a] :
( ( X5 @ X4 )
=> ( X1 @ X4 ) )
& ( X0 @ X5 )
& ( X5 @ X3 ) ) ) ) )
=> ( X0 @ X2 ) )
=> ! [X1: a > $o] :
( ( X0 @ X1 )
<=> ! [X3: a] :
( ( X1 @ X3 )
=> ? [X2: a > $o] :
( ? [X6: a > $o] :
( ! [X4: a] :
( ( X6 @ X4 )
=> ( X2 @ X4 ) )
& ( X0 @ X6 )
& ( X6 @ X3 ) )
& ! [X4: a] :
( ( X2 @ X4 )
=> ( X1 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.721lQHpMFf/DTF2THF_4343.p',cNBHD_THM1_pme) ).
thf(f301,plain,
( ! [X0: a > $o,X1: a] :
( ( $true
= ( ( sK14 @ X0 @ X1 )
=> ( X0 @ X1 ) ) )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f299]) ).
thf(f299,plain,
( ! [X0: a > $o,X1: a] :
( ( ( ^ [Y0: a] :
( ( sK14 @ X0 @ Y0 )
=> ( X0 @ Y0 ) )
@ X1 )
= $true )
| ( ( sK3 @ ( sK13 @ X0 ) )
= $true ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f294]) ).
thf(f338,plain,
( ( ( sK3 @ ( sK13 @ sK3 ) )
!= $true )
| spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f337]) ).
thf(f337,definition,
( spl0_6
<=> ( ( sK3 @ ( sK13 @ sK3 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f1215,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f1214]) ).
thf(f1214,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_7 ),
inference(subsumption_resolution,[status(thm)],[f1204,f378]) ).
thf(f378,plain,
( ( $false
!= ( sK3 @ ( sK13 @ sK3 ) ) )
| spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f377]) ).
thf(f377,definition,
( spl0_7
<=> ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f1204,plain,
( ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ~ spl0_1
| ~ spl0_4
| spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f1198]) ).
thf(f1198,plain,
( ( $false = $true )
| ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ~ spl0_1
| ~ spl0_4
| spl0_7 ),
inference(superposition,[status(thm)],[f184,f1180]) ).
thf(f1180,plain,
( ( $false
= ( sK2 @ ( sK9 @ ( sK13 @ sK3 ) ) ) )
| ~ spl0_1
| ~ spl0_4
| spl0_7 ),
inference(subsumption_resolution,[status(thm)],[f1177,f378]) ).
thf(f1177,plain,
( ( $false
= ( sK2 @ ( sK9 @ ( sK13 @ sK3 ) ) ) )
| ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ~ spl0_1
| ~ spl0_4
| spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f1176]) ).
thf(f1176,plain,
( ( $false = $true )
| ( $false
= ( sK2 @ ( sK9 @ ( sK13 @ sK3 ) ) ) )
| ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ~ spl0_1
| ~ spl0_4
| spl0_7 ),
inference(duplicate_literal_removal,[status(thm)],[f1164]) ).
thf(f1164,plain,
( ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ( $false = $true )
| ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ( $false
= ( sK2 @ ( sK9 @ ( sK13 @ sK3 ) ) ) )
| ~ spl0_1
| ~ spl0_4
| spl0_7 ),
inference(superposition,[status(thm)],[f181,f1160]) ).
thf(f1160,plain,
( ! [X0: a] :
( ( $false
= ( sK9 @ X0 @ ( sK13 @ sK3 ) ) )
| ( $false
= ( sK3 @ X0 ) )
| ( $false
= ( sK2 @ ( sK9 @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_4
| spl0_7 ),
inference(subsumption_resolution,[status(thm)],[f1157,f378]) ).
thf(f1157,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ( $false
= ( sK9 @ X0 @ ( sK13 @ sK3 ) ) )
| ( $false
= ( sK3 @ X0 ) )
| ( $false
= ( sK2 @ ( sK9 @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f1156]) ).
thf(f1156,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ( $false
= ( sK3 @ X0 ) )
| ( $false = $true )
| ( $false
= ( sK9 @ X0 @ ( sK13 @ sK3 ) ) )
| ( $false
= ( sK2 @ ( sK9 @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(duplicate_literal_removal,[status(thm)],[f1146]) ).
thf(f1146,plain,
( ! [X0: a] :
( ( $false
= ( sK9 @ X0 @ ( sK13 @ sK3 ) ) )
| ( $false
= ( sK9 @ X0 @ ( sK13 @ sK3 ) ) )
| ( $false
= ( sK3 @ X0 ) )
| ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ( $false = $true )
| ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ( $false
= ( sK2 @ ( sK9 @ X0 ) ) )
| ( $false
= ( sK2 @ ( sK9 @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f808,f689]) ).
thf(f689,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( X0 @ ( sK6 @ X0 @ X1 ) ) )
| ( $false
= ( sK2 @ X1 ) )
| ( $false
= ( X1 @ ( sK13 @ X0 ) ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f414]) ).
thf(f414,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( ( X1 @ ( sK13 @ X0 ) )
& ( sK2 @ X1 ) ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) )
| ( $false
= ( X0 @ ( sK6 @ X0 @ X1 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f402]) ).
thf(f402,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( ( X1 @ ( sK6 @ X0 @ X1 ) )
=> ( X0 @ ( sK6 @ X0 @ X1 ) ) ) )
| ( $false
= ( ( X1 @ ( sK13 @ X0 ) )
& ( sK2 @ X1 ) ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f392]) ).
thf(f392,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( sK3 @ ( sK13 @ X0 ) ) )
| ( $false
= ( ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK6 @ X0 @ X1 ) ) )
| ( $false
= ( ( X1 @ ( sK13 @ X0 ) )
& ( sK2 @ X1 ) ) ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f341]) ).
thf(f341,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
| ( $false
= ( ( X1 @ ( sK13 @ X0 ) )
& ( sK2 @ X1 ) ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f312]) ).
thf(f312,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( ( X1 @ ( sK13 @ X0 ) )
& ( sK2 @ X1 )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f308]) ).
thf(f308,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( ^ [Y0: a > $o] :
( ( Y0 @ ( sK13 @ X0 ) )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X1 ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f288]) ).
thf(f288,plain,
( ! [X0: a > $o] :
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ ( sK13 @ X0 ) )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f286]) ).
thf(f808,plain,
( ! [X0: a,X1: a > $o] :
( ( ( sK3 @ ( sK6 @ X1 @ ( sK9 @ X0 ) ) )
= $true )
| ( $false
= ( sK2 @ ( sK9 @ X0 ) ) )
| ( $false
= ( sK3 @ ( sK13 @ X1 ) ) )
| ( $false
= ( sK3 @ X0 ) )
| ( $false
= ( sK9 @ X0 @ ( sK13 @ X1 ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f807]) ).
thf(f807,plain,
( ! [X0: a,X1: a > $o] :
( ( $false
= ( sK3 @ ( sK13 @ X1 ) ) )
| ( $false = $true )
| ( $false
= ( sK9 @ X0 @ ( sK13 @ X1 ) ) )
| ( $false
= ( sK3 @ X0 ) )
| ( ( sK3 @ ( sK6 @ X1 @ ( sK9 @ X0 ) ) )
= $true )
| ( $false
= ( sK2 @ ( sK9 @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(boolean_simplification,[status(thm)],[f802]) ).
thf(f802,plain,
( ! [X0: a,X1: a > $o] :
( ( $false
= ( sK3 @ X0 ) )
| ( $false
= ( sK9 @ X0 @ ( sK13 @ X1 ) ) )
| ( $false
= ( sK2 @ ( sK9 @ X0 ) ) )
| ( ( sK3 @ ( sK6 @ X1 @ ( sK9 @ X0 ) ) )
= $true )
| ( $false = ( ~ $false ) )
| ( $false
= ( sK3 @ ( sK13 @ X1 ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f739,f235]) ).
thf(f235,plain,
( ! [X0: a,X1: a] :
( ( $false
= ( sK9 @ X0 @ X1 ) )
| ( $false
= ( sK3 @ X0 ) )
| ( ( sK3 @ X1 )
= $true ) )
| ~ spl0_1 ),
inference(not_proxy_clausification,[status(thm)],[f193]) ).
thf(f193,plain,
( ! [X0: a,X1: a] :
( ( $true
= ( ~ ( sK9 @ X0 @ X1 ) ) )
| ( ( sK3 @ X1 )
= $true )
| ( $false
= ( sK3 @ X0 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[status(thm)],[f192]) ).
thf(f192,plain,
( ! [X0: a,X1: a] :
( ( $false
= ( sK3 @ X0 ) )
| ( ( ( sK9 @ X0 @ X1 )
=> $false )
= $true )
| ( ( sK3 @ X1 )
= $true ) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[status(thm)],[f190]) ).
thf(f190,plain,
( ! [X0: a,X1: a] :
( ( $false
= ( sK3 @ X0 ) )
| ( $false
= ( sK3 @ X0 ) )
| ( ( sK3 @ X1 )
= $true )
| ( ( ( sK9 @ X0 @ X1 )
=> $false )
= $true ) )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f186,f173]) ).
thf(f173,plain,
( ! [X2: a,X1: a] :
( ( $false
= ( sK8 @ X1 @ X2 ) )
| ( ( sK3 @ X2 )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f170]) ).
thf(f170,plain,
( ! [X2: a,X1: a] :
( ( ( ( sK8 @ X1 @ X2 )
=> ( sK3 @ X2 ) )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f168]) ).
thf(f168,plain,
( ! [X2: a,X1: a] :
( ( $false
= ( sK3 @ X1 ) )
| ( ( ^ [Y0: a] :
( ( sK8 @ X1 @ Y0 )
=> ( sK3 @ Y0 ) )
@ X2 )
= $true ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f163]) ).
thf(f163,plain,
( ! [X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK8 @ X1 @ Y0 )
=> ( sK3 @ Y0 ) ) )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f161]) ).
thf(f161,plain,
( ! [X1: a] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK8 @ X1 @ Y0 )
=> ( sK3 @ Y0 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK8 @ X1 @ Y1 ) ) ) ) ) )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f158]) ).
thf(f158,plain,
( ! [X1: a] :
( ( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ X1 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) )
@ ( sK8 @ X1 ) )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(sigma_clausification,[status(thm)],[f157]) ).
thf(f157,plain,
( ! [X1: a] :
( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ X1 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f156]) ).
thf(f156,plain,
( ! [X1: a] :
( ( ( sK3 @ X1 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ X1 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f155]) ).
thf(f155,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f23]) ).
thf(f23,definition,
( spl0_1
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f186,plain,
( ! [X2: a,X1: a] :
( ( $true
= ( ( sK9 @ X1 @ X2 )
=> ( sK8 @ X1 @ X2 ) ) )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f185]) ).
thf(f185,plain,
( ! [X2: a,X1: a] :
( ( $false
= ( sK3 @ X1 ) )
| ( ( ^ [Y0: a] :
( ( sK9 @ X1 @ Y0 )
=> ( sK8 @ X1 @ Y0 ) )
@ X2 )
= $true ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f182]) ).
thf(f182,plain,
( ! [X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ X1 @ Y0 )
=> ( sK8 @ X1 @ Y0 ) ) )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[status(thm)],[f179]) ).
thf(f179,plain,
( ! [X1: a] :
( ( $false
= ( sK3 @ X1 ) )
| ( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ X1 @ Y0 )
=> ( sK8 @ X1 @ Y0 ) ) ) )
= $true ) )
| ~ spl0_1 ),
inference(backward_subsumption_demodulation,[status(thm)],[f172,f175]) ).
thf(f175,plain,
( ! [X1: a] :
( ( ( ( sK9 @ X1 @ X1 )
& ( sK2 @ ( sK9 @ X1 ) ) )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f172]) ).
thf(f172,plain,
( ! [X1: a] :
( ( $true
= ( ( sK9 @ X1 @ X1 )
& ( sK2 @ ( sK9 @ X1 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ X1 @ Y0 )
=> ( sK8 @ X1 @ Y0 ) ) ) ) )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f171]) ).
thf(f171,plain,
( ! [X1: a] :
( ( $false
= ( sK3 @ X1 ) )
| ( ( ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK8 @ X1 @ Y1 ) ) ) )
@ ( sK9 @ X1 ) )
= $true ) )
| ~ spl0_1 ),
inference(sigma_clausification,[status(thm)],[f169]) ).
thf(f169,plain,
( ! [X1: a] :
( ( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK8 @ X1 @ Y1 ) ) ) ) ) )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[status(thm)],[f167]) ).
thf(f167,plain,
( ! [X1: a] :
( ( $false
= ( sK3 @ X1 ) )
| ( ( $true
& ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ X1 )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK8 @ X1 @ Y1 ) ) ) ) ) )
= $true ) )
| ~ spl0_1 ),
inference(backward_subsumption_demodulation,[status(thm)],[f161,f163]) ).
thf(f739,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( ~ ( X1 @ ( sK6 @ X0 @ X1 ) ) ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) )
| ( $false
= ( sK2 @ X1 ) )
| ( $false
= ( X1 @ ( sK13 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f716]) ).
thf(f716,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( ( X1 @ ( sK13 @ X0 ) )
& ( sK2 @ X1 ) ) )
| ( $false
= ( ~ ( X1 @ ( sK6 @ X0 @ X1 ) ) ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(boolean_simplification,[status(thm)],[f688]) ).
thf(f688,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( $false
= ( ( X1 @ ( sK13 @ X0 ) )
& ( sK2 @ X1 ) ) )
| ( $false
= ( ( X1 @ ( sK6 @ X0 @ X1 ) )
=> $false ) )
| ( $false
= ( sK3 @ ( sK13 @ X0 ) ) ) )
| ~ spl0_4 ),
inference(backward_subsumption_demodulation,[status(thm)],[f402,f414]) ).
thf(f181,plain,
( ! [X1: a] :
( ( ( sK9 @ X1 @ X1 )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f175]) ).
thf(f184,plain,
( ! [X1: a] :
( ( ( sK2 @ ( sK9 @ X1 ) )
= $true )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(boolean_simplification,[status(thm)],[f183]) ).
thf(f183,plain,
( ! [X1: a] :
( ( $true
= ( $true
& ( sK2 @ ( sK9 @ X1 ) ) ) )
| ( $false
= ( sK3 @ X1 ) ) )
| ~ spl0_1 ),
inference(backward_subsumption_demodulation,[status(thm)],[f175,f181]) ).
thf(f411,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f410]) ).
thf(f410,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f409]) ).
thf(f409,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f339,f379]) ).
thf(f379,plain,
( ( $false
= ( sK3 @ ( sK13 @ sK3 ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f377]) ).
thf(f339,plain,
( ( ( sK3 @ ( sK13 @ sK3 ) )
= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f337]) ).
thf(f150,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f149]) ).
thf(f149,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f147]) ).
thf(f147,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f29,f38]) ).
thf(f29,plain,
( ( ( sK2 @ sK3 )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f27]) ).
thf(f27,definition,
( spl0_2
<=> ( ( sK2 @ sK3 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f142,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f120,f36,f32]) ).
thf(f32,definition,
( spl0_3
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f120,plain,
( ( $false
= ( sK2 @ sK3 ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
!= ( sK2 @ sK3 ) ),
inference(binary_proxy_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( $false
= ( ( sK2 @ sK3 )
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f15]) ).
thf(f15,plain,
( $false
= ( ^ [Y0: a > $o] :
( ( sK2 @ Y0 )
= ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( Y3 @ Y1 )
& ( sK2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[status(thm)],[f12]) ).
thf(f137,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[status(thm)],[f136]) ).
thf(f136,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f134]) ).
thf(f134,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f25,f34]) ).
thf(f34,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f32]) ).
thf(f123,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f119,f27,f23]) ).
thf(f119,plain,
( ( ( sK2 @ sK3 )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f18]) ).
thf(f118,plain,
( spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f117]) ).
thf(f117,plain,
( $false
| spl0_1
| spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f116]) ).
thf(f116,plain,
( ( $false = $true )
| spl0_1
| spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f115]) ).
thf(f115,plain,
( ( $false
= ( ^ [Y0: a] : $true
@ sK7 ) )
| spl0_1
| spl0_4 ),
inference(sigma_clausification,[status(thm)],[f114]) ).
thf(f114,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] : $true ) )
| spl0_1
| spl0_4 ),
inference(subsumption_resolution,[status(thm)],[f113,f37]) ).
thf(f37,plain,
( ( $false
!= ( sK2 @ sK3 ) )
| spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f36]) ).
thf(f113,plain,
( ( $false
= ( sK2 @ sK3 ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] : $true ) )
| spl0_1 ),
inference(boolean_simplification,[status(thm)],[f112]) ).
thf(f112,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] : $true ) )
| ( $false
= ( $true
& ( sK2 @ sK3 ) ) )
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f108,f58]) ).
thf(f58,plain,
( ( ( sK3 @ sK4 )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
( ( $false
= ( ( sK3 @ sK4 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK4 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f52]) ).
thf(f52,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) )
@ sK4 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f24]) ).
thf(f24,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( sK3 @ Y2 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y0 )
& ( sK2 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) ) )
!= $true )
| spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f23]) ).
thf(f108,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] : $true ) )
| ( $false
= ( ( sK3 @ sK4 )
& ( sK2 @ sK3 ) ) )
| spl0_1 ),
inference(boolean_simplification,[status(thm)],[f107]) ).
thf(f107,plain,
( ( $false
= ( ( sK3 @ sK4 )
& ( sK2 @ sK3 ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK3 @ Y0 ) ) ) )
| spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f105]) ).
thf(f105,plain,
( ( $false
= ( ( sK3 @ sK4 )
& ( sK2 @ sK3 ) ) )
| ( $false != $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 )
=> ( sK3 @ Y0 ) ) ) )
| spl0_1 ),
inference(equality_factoring,[status(thm)],[f90]) ).
thf(f90,plain,
( ! [X2: a > $o,X1: a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( $false
= ( ( X2 @ sK4 )
& ( sK2 @ X2 ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f88]) ).
thf(f88,plain,
( ! [X2: a > $o,X1: a > $o] :
( ( ( ( X2 @ sK4 )
& ( sK2 @ X2 )
& ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
= $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f86]) ).
thf(f86,plain,
( ! [X2: a > $o,X1: a > $o] :
( ( $false
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK4 )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) )
@ X2 ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) ) ) )
| spl0_1 ),
inference(pi_clausification,[status(thm)],[f85]) ).
thf(f85,plain,
( ! [X1: a > $o] :
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK4 )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f72]) ).
thf(f72,plain,
( ! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( sK3 @ Y0 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK4 )
& ( sK2 @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) ) ) )
= $false )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f71]) ).
thf(f71,plain,
( ! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK4 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) )
@ X1 ) )
| spl0_1 ),
inference(pi_clausification,[status(thm)],[f67]) ).
thf(f67,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK4 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) )
| spl0_1 ),
inference(boolean_simplification,[status(thm)],[f66]) ).
thf(f66,plain,
( ( $false
= ( $true
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( sK3 @ Y1 ) ) )
& ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ sK4 )
& ( sK2 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(backward_demodulation,[status(thm)],[f53,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV267^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n021.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 12:43:38 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.45 ---- Original DTF file ---
% 0.19/0.45 thf(spec,logic,$$dhol).
% 0.19/0.45 %------------------------------------------------------------------------------
% 0.19/0.45 % File : SEV267^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.45 % Domain : Set Theory (Sets of sets)
% 0.19/0.45 % Problem : TPS problem from TOPOLOGY-THMS
% 0.19/0.45 % Version : Especial.
% 0.19/0.45 % English :
% 0.19/0.45
% 0.19/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.45 % Source : [Bro09]
% 0.19/0.45 % Names : tps_1057 [Bro09]
% 0.19/0.45
% 0.19/0.45 % Status : Theorem
% 0.19/0.45 % Rating : 0.44 v9.1.0, 0.50 v8.2.0, 0.54 v8.1.0, 0.45 v7.5.0, 0.71 v7.4.0, 0.56 v7.2.0, 0.50 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.80 v6.2.0, 0.43 v6.1.0, 0.57 v5.5.0, 0.33 v5.4.0, 0.60 v5.2.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.33 v4.0.0
% 0.19/0.45 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.19/0.45 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.19/0.45 % Maximal formula atoms : 1 ( 1 avg)
% 0.19/0.45 % Number of connectives : 33 ( 0 ~; 0 |; 7 &; 17 @)
% 0.19/0.45 % ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% 0.19/0.45 % Maximal formula depth : 15 ( 15 avg)
% 0.19/0.45 % Number of types : 2 ( 1 usr)
% 0.19/0.45 % Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% 0.19/0.45 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.19/0.45 % Number of variables : 14 ( 1 ^; 10 !; 3 ?; 14 :)
% 0.19/0.45 % SPC : TH0_THM_EQU_NAR
% 0.19/0.45
% 0.19/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.45 %------------------------------------------------------------------------------
% 0.19/0.45 thf(a_type,type,
% 0.19/0.45 a: $tType ).
% 0.19/0.45
% 0.19/0.45 thf(cNBHD_THM1_pme,conjecture,
% 0.19/0.45 ! [T: ( a > $o ) > $o] :
% 0.19/0.45 ( ! [S: a > $o,R: a > $o] :
% 0.19/0.45 ( ( ! [Xx: a > $o] :
% 0.19/0.45 ( ( ( T @ Xx )
% 0.19/0.45 & ! [Xx0: a] :
% 0.19/0.45 ( ( Xx @ Xx0 )
% 0.19/0.45 => ( S @ Xx0 ) ) )
% 0.19/0.45 => ( T @ Xx ) )
% 0.19/0.45 & ( R
% 0.19/0.45 = ( ^ [Xx: a] :
% 0.19/0.45 ? [S_19: a > $o] :
% 0.19/0.45 ( ( T @ S_19 )
% 0.19/0.45 & ! [Xx0: a] :
% 0.19/0.45 ( ( S_19 @ Xx0 )
% 0.19/0.45 => ( S @ Xx0 ) )
% 0.19/0.45 & ( S_19 @ Xx ) ) ) ) )
% 0.19/0.45 => ( T @ R ) )
% 0.19/0.45 => ! [S: a > $o] :
% 0.19/0.45 ( ( T @ S )
% 0.19/0.45 <=> ! [Xx: a] :
% 0.19/0.45 ( ( S @ Xx )
% 0.19/0.45 => ? [R: a > $o] :
% 0.19/0.45 ( ? [N: a > $o] :
% 0.19/0.45 ( ( T @ N )
% 0.19/0.45 & ! [Xx0: a] :
% 0.19/0.45 ( ( N @ Xx0 )
% 0.19/0.45 => ( R @ Xx0 ) )
% 0.19/0.45 & ( N @ Xx ) )
% 0.19/0.45 & ! [Xx0: a] :
% 0.19/0.45 ( ( R @ Xx0 )
% 0.19/0.45 => ( S @ Xx0 ) ) ) ) ) ) ).
% 0.19/0.45
% 0.19/0.45 %------------------------------------------------------------------------------
% 0.19/0.45 ------------------------
% 1.46/1.17 ---- Embedded in THF ---
% 1.46/1.17 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.46/1.17 %%% Generated on Tue Feb 24 12:43:39 EST 2026
% 1.46/1.17 %%% using '$$dhol' embedding, version 1.3.0.
% 1.46/1.17 %%% Logic specification used:
% 1.46/1.17 %%% thf(spec, logic, $$dhol).
% 1.46/1.17
% 1.46/1.17 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.721lQHpMFf/DTF2DTF4343.p
% See solution above
% 1.46/1.17 ------------------------
% 1.46/1.18 ---- Cleaned THF ---
% 1.46/1.18 thf(a_type,type,
% 1.46/1.18 a: $tType ).
% 1.46/1.18
% 1.46/1.18 thf(cNBHD_THM1_pme,conjecture,
% 1.46/1.18 ! [T: ( a > $o ) > $o] :
% 1.46/1.18 ( ! [S: a > $o,R: a > $o] :
% 1.46/1.18 ( ( ! [Xx: a > $o] :
% 1.46/1.18 ( ( ( T @ Xx )
% 1.46/1.18 & ! [Xx0: a] :
% 1.46/1.18 ( ( Xx @ Xx0 )
% 1.46/1.18 => ( S @ Xx0 ) ) )
% 1.46/1.18 => ( T @ Xx ) )
% 1.46/1.18 & ( R
% 1.46/1.18 = ( ^ [Xx: a] :
% 1.46/1.18 ? [S_19: a > $o] :
% 1.46/1.18 ( ( T @ S_19 )
% 1.46/1.18 & ! [Xx0: a] :
% 1.46/1.18 ( ( S_19 @ Xx0 )
% 1.46/1.18 => ( S @ Xx0 ) )
% 1.46/1.18 & ( S_19 @ Xx ) ) ) ) )
% 1.46/1.18 => ( T @ R ) )
% 1.46/1.18 => ! [S: a > $o] :
% 1.46/1.18 ( ( T @ S )
% 1.46/1.18 <=> ! [Xx: a] :
% 1.46/1.18 ( ( S @ Xx )
% 1.46/1.18 => ? [R: a > $o] :
% 1.46/1.18 ( ? [N: a > $o] :
% 1.46/1.18 ( ( T @ N )
% 1.46/1.18 & ! [Xx0: a] :
% 1.46/1.18 ( ( N @ Xx0 )
% 1.46/1.18 => ( R @ Xx0 ) )
% 1.46/1.18 & ( N @ Xx ) )
% 1.46/1.18 & ! [Xx0: a] :
% 1.46/1.18 ( ( R @ Xx0 )
% 1.46/1.18 => ( S @ Xx0 ) ) ) ) ) ) ).
% 1.46/1.18 ------------------------
% 1.46/1.19 % (4442)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_4343 for (3000ds/27Mi)
% 1.46/1.19 % (4444)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_4343 for (3000ds/2Mi)
% 1.46/1.19 % (4444)Instruction limit reached!
% 1.46/1.19 % (4444)------------------------------
% 1.46/1.19 % (4444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.46/1.19 % (4444)Termination reason: Unknown
% 1.46/1.19 % (4444)Termination phase: Saturation
% 1.46/1.19
% 1.46/1.19 % (4444)Memory used [KB]: 5500
% 1.46/1.19 % (4444)Time elapsed: 0.003 s
% 1.46/1.19 % (4444)Instructions burned: 3 (million)
% 1.46/1.19 % (4444)------------------------------
% 1.46/1.19 % (4444)------------------------------
% 1.54/1.20 % (4446)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_4343 for (3000ds/18Mi)
% 1.54/1.20 % (4443)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_4343 for (3000ds/2Mi)
% 1.54/1.20 % (4441)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_4343 for (3000ds/4Mi)
% 1.54/1.20 % (4440)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_4343 for (3000ds/183Mi)
% 1.54/1.20 % (4443)Instruction limit reached!
% 1.54/1.20 % (4443)------------------------------
% 1.54/1.20 % (4443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.20 % (4443)Termination reason: Unknown
% 1.54/1.20 % (4443)Termination phase: Preprocessing 3
% 1.54/1.20
% 1.54/1.20 % (4443)Memory used [KB]: 1023
% 1.54/1.20 % (4443)Time elapsed: 0.003 s
% 1.54/1.20 % (4443)Instructions burned: 2 (million)
% 1.54/1.20 % (4443)------------------------------
% 1.54/1.20 % (4443)------------------------------
% 1.54/1.20 % (4441)Instruction limit reached!
% 1.54/1.20 % (4441)------------------------------
% 1.54/1.20 % (4441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.20 % (4442)Instruction limit reached!
% 1.54/1.20 % (4442)------------------------------
% 1.54/1.20 % (4442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.20 % (4442)Termination reason: Unknown
% 1.54/1.20 % (4442)Termination phase: Saturation
% 1.54/1.20
% 1.54/1.20 % (4442)Memory used [KB]: 5628
% 1.54/1.20 % (4442)Time elapsed: 0.011 s
% 1.54/1.20 % (4442)Instructions burned: 29 (million)
% 1.54/1.20 % (4442)------------------------------
% 1.54/1.20 % (4442)------------------------------
% 1.54/1.20 % (4441)Termination reason: Unknown
% 1.54/1.20 % (4441)Termination phase: Property scanning
% 1.54/1.20
% 1.54/1.20 % (4441)Memory used [KB]: 1023
% 1.54/1.20 % (4441)Time elapsed: 0.004 s
% 1.54/1.20 % (4441)Instructions burned: 4 (million)
% 1.54/1.20 % (4441)------------------------------
% 1.54/1.20 % (4441)------------------------------
% 1.54/1.20 % (4445)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_4343 for (3000ds/275Mi)
% 1.54/1.20 % (4445)Refutation not found, incomplete strategy
% 1.54/1.20 % (4445)------------------------------
% 1.54/1.20 % (4445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.20 % (4445)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.20
% 1.54/1.20
% 1.54/1.20 % (4445)Memory used [KB]: 5500
% 1.54/1.20 % (4445)Time elapsed: 0.004 s
% 1.54/1.20 % (4445)Instructions burned: 6 (million)
% 1.54/1.20 % (4445)------------------------------
% 1.54/1.20 % (4445)------------------------------
% 1.54/1.21 % (4446)Instruction limit reached!
% 1.54/1.21 % (4446)------------------------------
% 1.54/1.21 % (4446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.21 % (4446)Termination reason: Unknown
% 1.54/1.21 % (4446)Termination phase: Saturation
% 1.54/1.21
% 1.54/1.21 % (4446)Memory used [KB]: 5628
% 1.54/1.21 % (4446)Time elapsed: 0.011 s
% 1.54/1.21 % (4446)Instructions burned: 19 (million)
% 1.54/1.21 % (4446)------------------------------
% 1.54/1.21 % (4446)------------------------------
% 1.54/1.21 % (4447)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/3Mi)
% 1.54/1.21 % (4447)Instruction limit reached!
% 1.54/1.21 % (4447)------------------------------
% 1.54/1.21 % (4447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.21 % (4447)Termination reason: Unknown
% 1.54/1.21 % (4447)Termination phase: Property scanning
% 1.54/1.21
% 1.54/1.21 % (4447)Memory used [KB]: 1023
% 1.54/1.21 % (4447)Time elapsed: 0.002 s
% 1.54/1.21 % (4447)Instructions burned: 4 (million)
% 1.54/1.21 % (4447)------------------------------
% 1.54/1.21 % (4447)------------------------------
% 1.54/1.22 % (4451)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_4343 for (2999ds/1041Mi)
% 1.54/1.22 % (4449)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_4343 for (2999ds/15Mi)
% 1.54/1.22 % (4448)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_4343 for (2999ds/37Mi)
% 1.54/1.22 % (4450)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_4343 for (2999ds/3Mi)
% 1.54/1.22 % (4453)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/16Mi)
% 1.54/1.22 % (4450)Instruction limit reached!
% 1.54/1.22 % (4450)------------------------------
% 1.54/1.22 % (4450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.22 % (4450)Termination reason: Unknown
% 1.54/1.22 % (4450)Termination phase: Property scanning
% 1.54/1.22
% 1.54/1.22 % (4450)Memory used [KB]: 1023
% 1.54/1.22 % (4450)Time elapsed: 0.004 s
% 1.54/1.22 % (4450)Instructions burned: 4 (million)
% 1.54/1.22 % (4450)------------------------------
% 1.54/1.22 % (4450)------------------------------
% 1.54/1.22 % (4452)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/7Mi)
% 1.54/1.22 % (4449)Instruction limit reached!
% 1.54/1.22 % (4449)------------------------------
% 1.54/1.22 % (4449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.22 % (4449)Termination reason: Unknown
% 1.54/1.22 % (4449)Termination phase: Saturation
% 1.54/1.22
% 1.54/1.22 % (4449)Memory used [KB]: 5628
% 1.54/1.22 % (4449)Time elapsed: 0.037 s
% 1.54/1.22 % (4449)Instructions burned: 16 (million)
% 1.54/1.22 % (4449)------------------------------
% 1.54/1.22 % (4449)------------------------------
% 1.54/1.23 % (4453)Instruction limit reached!
% 1.54/1.23 % (4453)------------------------------
% 1.54/1.23 % (4453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.23 % (4453)Termination reason: Unknown
% 1.54/1.23 % (4453)Termination phase: Saturation
% 1.54/1.23
% 1.54/1.23 % (4453)Memory used [KB]: 5756
% 1.54/1.23 % (4453)Time elapsed: 0.007 s
% 1.54/1.23 % (4453)Instructions burned: 18 (million)
% 1.54/1.23 % (4453)------------------------------
% 1.54/1.23 % (4453)------------------------------
% 1.54/1.23 % (4452)Instruction limit reached!
% 1.54/1.23 % (4452)------------------------------
% 1.54/1.23 % (4452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.23 % (4452)Termination reason: Unknown
% 1.54/1.23 % (4452)Termination phase: Saturation
% 1.54/1.23
% 1.54/1.23 % (4452)Memory used [KB]: 1023
% 1.54/1.23 % (4452)Time elapsed: 0.005 s
% 1.54/1.23 % (4452)Instructions burned: 7 (million)
% 1.54/1.23 % (4452)------------------------------
% 1.54/1.23 % (4452)------------------------------
% 1.54/1.23 % (4456)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/7Mi)
% 1.54/1.24 % (4454)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_4343 for (2999ds/3Mi)
% 1.54/1.24 % (4456)Instruction limit reached!
% 1.54/1.24 % (4456)------------------------------
% 1.54/1.24 % (4456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.24 % (4456)Termination reason: Unknown
% 1.54/1.24 % (4456)Termination phase: Saturation
% 1.54/1.24
% 1.54/1.24 % (4456)Memory used [KB]: 5500
% 1.54/1.24 % (4456)Time elapsed: 0.003 s
% 1.54/1.24 % (4456)Instructions burned: 7 (million)
% 1.54/1.24 % (4456)------------------------------
% 1.54/1.24 % (4456)------------------------------
% 1.54/1.24 % (4448)Instruction limit reached!
% 1.54/1.24 % (4448)------------------------------
% 1.54/1.24 % (4448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.24 % (4448)Termination reason: Unknown
% 1.54/1.24 % (4448)Termination phase: Saturation
% 1.54/1.24
% 1.54/1.24 % (4448)Memory used [KB]: 5756
% 1.54/1.24 % (4448)Time elapsed: 0.048 s
% 1.54/1.24 % (4448)Instructions burned: 39 (million)
% 1.54/1.24 % (4448)------------------------------
% 1.54/1.24 % (4448)------------------------------
% 1.54/1.24 % (4454)Instruction limit reached!
% 1.54/1.24 % (4454)------------------------------
% 1.54/1.24 % (4454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.24 % (4454)Termination reason: Unknown
% 1.54/1.24 % (4454)Termination phase: Preprocessing 3
% 1.54/1.24
% 1.54/1.24 % (4454)Memory used [KB]: 1023
% 1.54/1.24 % (4454)Time elapsed: 0.003 s
% 1.54/1.24 % (4454)Instructions burned: 3 (million)
% 1.54/1.24 % (4454)------------------------------
% 1.54/1.24 % (4454)------------------------------
% 1.54/1.24 % (4455)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_4343 for (2999ds/3Mi)
% 1.54/1.24 % (4455)Instruction limit reached!
% 1.54/1.24 % (4455)------------------------------
% 1.54/1.24 % (4455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.24 % (4455)Termination reason: Unknown
% 1.54/1.24 % (4455)Termination phase: Property scanning
% 1.54/1.24
% 1.54/1.24 % (4455)Memory used [KB]: 1023
% 1.54/1.24 % (4455)Time elapsed: 0.003 s
% 1.54/1.24 % (4455)Instructions burned: 3 (million)
% 1.54/1.24 % (4455)------------------------------
% 1.54/1.24 % (4455)------------------------------
% 1.54/1.25 % (4458)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/4Mi)
% 1.54/1.25 % (4458)Instruction limit reached!
% 1.54/1.25 % (4458)------------------------------
% 1.54/1.25 % (4458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.25 % (4458)Termination reason: Unknown
% 1.54/1.25 % (4458)Termination phase: Property scanning
% 1.54/1.25
% 1.54/1.25 % (4458)Memory used [KB]: 1023
% 1.54/1.25 % (4458)Time elapsed: 0.002 s
% 1.54/1.25 % (4458)Instructions burned: 4 (million)
% 1.54/1.25 % (4458)------------------------------
% 1.54/1.25 % (4458)------------------------------
% 1.54/1.25 % (4457)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/3Mi)
% 1.54/1.25 % (4457)Instruction limit reached!
% 1.54/1.25 % (4457)------------------------------
% 1.54/1.25 % (4457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.25 % (4457)Termination reason: Unknown
% 1.54/1.25 % (4457)Termination phase: Saturation
% 1.54/1.25
% 1.54/1.25 % (4457)Memory used [KB]: 5500
% 1.54/1.25 % (4457)Time elapsed: 0.002 s
% 1.54/1.25 % (4457)Instructions burned: 3 (million)
% 1.54/1.25 % (4457)------------------------------
% 1.54/1.25 % (4457)------------------------------
% 1.54/1.25 % (4459)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/18Mi)
% 1.54/1.25 % (4460)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/710Mi)
% 1.54/1.26 % (4462)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_4343 for (2999ds/902Mi)
% 1.54/1.26 % (4462)Refutation not found, incomplete strategy
% 1.54/1.26 % (4462)------------------------------
% 1.54/1.26 % (4462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.26 % (4462)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.26
% 1.54/1.26
% 1.54/1.26 % (4462)Memory used [KB]: 5500
% 1.54/1.26 % (4462)Time elapsed: 0.003 s
% 1.54/1.26 % (4462)Instructions burned: 7 (million)
% 1.54/1.26 % (4462)------------------------------
% 1.54/1.26 % (4462)------------------------------
% 1.54/1.26 % (4459)Instruction limit reached!
% 1.54/1.26 % (4459)------------------------------
% 1.54/1.26 % (4459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.26 % (4459)Termination reason: Unknown
% 1.54/1.26 % (4459)Termination phase: Saturation
% 1.54/1.26
% 1.54/1.26 % (4459)Memory used [KB]: 5628
% 1.54/1.26 % (4459)Time elapsed: 0.008 s
% 1.54/1.26 % (4459)Instructions burned: 19 (million)
% 1.54/1.26 % (4459)------------------------------
% 1.54/1.26 % (4459)------------------------------
% 1.54/1.27 % (4463)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_4343 for (2999ds/21Mi)
% 1.54/1.27 % (4461)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/6Mi)
% 1.54/1.27 % (4461)Instruction limit reached!
% 1.54/1.27 % (4461)------------------------------
% 1.54/1.27 % (4461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.27 % (4461)Termination reason: Unknown
% 1.54/1.27 % (4461)Termination phase: Saturation
% 1.54/1.27
% 1.54/1.27 % (4461)Memory used [KB]: 5500
% 1.54/1.27 % (4461)Time elapsed: 0.004 s
% 1.54/1.27 % (4461)Instructions burned: 7 (million)
% 1.54/1.27 % (4461)------------------------------
% 1.54/1.27 % (4461)------------------------------
% 1.54/1.27 % (4464)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/5Mi)
% 1.54/1.27 % (4465)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_4343 for (2999ds/6Mi)
% 1.54/1.27 % (4464)Instruction limit reached!
% 1.54/1.27 % (4464)------------------------------
% 1.54/1.27 % (4464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.27 % (4464)Termination reason: Unknown
% 1.54/1.27 % (4464)Termination phase: Saturation
% 1.54/1.27
% 1.54/1.27 % (4464)Memory used [KB]: 5500
% 1.54/1.27 % (4464)Time elapsed: 0.003 s
% 1.54/1.27 % (4464)Instructions burned: 7 (million)
% 1.54/1.27 % (4464)------------------------------
% 1.54/1.27 % (4464)------------------------------
% 1.54/1.27 % (4465)Instruction limit reached!
% 1.54/1.27 % (4465)------------------------------
% 1.54/1.27 % (4465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.27 % (4465)Termination reason: Unknown
% 1.54/1.27 % (4465)Termination phase: Saturation
% 1.54/1.27
% 1.54/1.27 % (4465)Memory used [KB]: 5500
% 1.54/1.27 % (4465)Time elapsed: 0.004 s
% 1.54/1.27 % (4465)Instructions burned: 8 (million)
% 1.54/1.27 % (4465)------------------------------
% 1.54/1.27 % (4465)------------------------------
% 1.54/1.28 % (4440)Instruction limit reached!
% 1.54/1.28 % (4440)------------------------------
% 1.54/1.28 % (4440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.28 % (4440)Termination reason: Unknown
% 1.54/1.28 % (4440)Termination phase: Saturation
% 1.54/1.28
% 1.54/1.28 % (4440)Memory used [KB]: 6652
% 1.54/1.28 % (4440)Time elapsed: 0.080 s
% 1.54/1.28 % (4440)Instructions burned: 184 (million)
% 1.54/1.28 % (4440)------------------------------
% 1.54/1.28 % (4440)------------------------------
% 1.54/1.28 % (4463)Instruction limit reached!
% 1.54/1.28 % (4463)------------------------------
% 1.54/1.28 % (4463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.28 % (4463)Termination reason: Unknown
% 1.54/1.28 % (4463)Termination phase: Saturation
% 1.54/1.28
% 1.54/1.28 % (4463)Memory used [KB]: 5628
% 1.54/1.28 % (4463)Time elapsed: 0.014 s
% 1.54/1.28 % (4463)Instructions burned: 22 (million)
% 1.54/1.28 % (4463)------------------------------
% 1.54/1.28 % (4463)------------------------------
% 1.54/1.28 % (4467)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_4343 for (2999ds/779Mi)
% 1.54/1.28 % (4468)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_4343 for (2999ds/19Mi)
% 1.54/1.29 % (4466)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/377Mi)
% 1.54/1.29 % (4469)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/879Mi)
% 1.54/1.29 % (4470)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_4343 for (2999ds/17Mi)
% 1.54/1.29 % (4468)Instruction limit reached!
% 1.54/1.29 % (4468)------------------------------
% 1.54/1.29 % (4468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.29 % (4468)Termination reason: Unknown
% 1.54/1.29 % (4468)Termination phase: Saturation
% 1.54/1.29
% 1.54/1.29 % (4468)Memory used [KB]: 5628
% 1.54/1.29 % (4468)Time elapsed: 0.008 s
% 1.54/1.29 % (4468)Instructions burned: 19 (million)
% 1.54/1.29 % (4468)------------------------------
% 1.54/1.29 % (4468)------------------------------
% 1.54/1.29 % (4470)Instruction limit reached!
% 1.54/1.29 % (4470)------------------------------
% 1.54/1.29 % (4470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.29 % (4470)Termination reason: Unknown
% 1.54/1.29 % (4470)Termination phase: Saturation
% 1.54/1.29
% 1.54/1.29 % (4470)Memory used [KB]: 5628
% 1.54/1.29 % (4470)Time elapsed: 0.008 s
% 1.54/1.29 % (4470)Instructions burned: 18 (million)
% 1.54/1.29 % (4470)------------------------------
% 1.54/1.29 % (4470)------------------------------
% 1.54/1.30 % (4471)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_4343 for (2998ds/3Mi)
% 1.54/1.30 % (4471)Instruction limit reached!
% 1.54/1.30 % (4471)------------------------------
% 1.54/1.30 % (4471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.30 % (4471)Termination reason: Unknown
% 1.54/1.30 % (4471)Termination phase: Property scanning
% 1.54/1.30
% 1.54/1.30 % (4471)Memory used [KB]: 1023
% 1.54/1.30 % (4471)Time elapsed: 0.003 s
% 1.54/1.30 % (4471)Instructions burned: 4 (million)
% 1.54/1.30 % (4471)------------------------------
% 1.54/1.30 % (4471)------------------------------
% 1.54/1.30 % (4472)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_4343 for (2998ds/30Mi)
% 1.54/1.31 % (4473)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_4343 for (2998ds/127Mi)
% 1.54/1.31 % (4472)Instruction limit reached!
% 1.54/1.31 % (4472)------------------------------
% 1.54/1.31 % (4472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.31 % (4472)Termination reason: Unknown
% 1.54/1.31 % (4472)Termination phase: Saturation
% 1.54/1.31
% 1.54/1.32 % (4472)Memory used [KB]: 5756
% 1.54/1.32 % (4472)Time elapsed: 0.013 s
% 1.54/1.32 % (4472)Instructions burned: 32 (million)
% 1.54/1.32 % (4472)------------------------------
% 1.54/1.32 % (4472)------------------------------
% 1.54/1.33 % (4474)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_4343 for (2998ds/100Mi)
% 1.54/1.35 % (4473)Instruction limit reached!
% 1.54/1.35 % (4473)------------------------------
% 1.54/1.35 % (4473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.35 % (4473)Termination reason: Unknown
% 1.54/1.35 % (4473)Termination phase: Saturation
% 1.54/1.35
% 1.54/1.35 % (4473)Memory used [KB]: 6268
% 1.54/1.35 % (4473)Time elapsed: 0.044 s
% 1.54/1.35 % (4473)Instructions burned: 127 (million)
% 1.54/1.35 % (4473)------------------------------
% 1.54/1.35 % (4473)------------------------------
% 1.54/1.36 % (4474)Instruction limit reached!
% 1.54/1.36 % (4474)------------------------------
% 1.54/1.36 % (4474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.36 % (4474)Termination reason: Unknown
% 1.54/1.36 % (4474)Termination phase: Saturation
% 1.54/1.36
% 1.54/1.36 % (4474)Memory used [KB]: 5884
% 1.54/1.36 % (4474)Time elapsed: 0.035 s
% 1.54/1.36 % (4474)Instructions burned: 100 (million)
% 1.54/1.36 % (4474)------------------------------
% 1.54/1.36 % (4474)------------------------------
% 1.54/1.36 % (4475)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_4343 for (2998ds/3Mi)
% 1.54/1.36 % (4475)Instruction limit reached!
% 1.54/1.36 % (4475)------------------------------
% 1.54/1.36 % (4475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.36 % (4475)Termination reason: Unknown
% 1.54/1.36 % (4475)Termination phase: Saturation
% 1.54/1.36
% 1.54/1.36 % (4475)Memory used [KB]: 5500
% 1.54/1.36 % (4475)Time elapsed: 0.003 s
% 1.54/1.36 % (4475)Instructions burned: 3 (million)
% 1.54/1.36 % (4475)------------------------------
% 1.54/1.36 % (4475)------------------------------
% 1.54/1.37 % (4476)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_4343 for (2998ds/20Mi)
% 1.54/1.37 % (4477)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_4343 for (2998ds/86Mi)
% 1.54/1.38 % (4476)Instruction limit reached!
% 1.54/1.38 % (4476)------------------------------
% 1.54/1.38 % (4476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.38 % (4476)Termination reason: Unknown
% 1.54/1.38 % (4476)Termination phase: Saturation
% 1.54/1.38
% 1.54/1.38 % (4476)Memory used [KB]: 5628
% 1.54/1.38 % (4476)Time elapsed: 0.009 s
% 1.54/1.38 % (4476)Instructions burned: 20 (million)
% 1.54/1.38 % (4476)------------------------------
% 1.54/1.38 % (4476)------------------------------
% 1.54/1.39 % (4478)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_4343 for (2998ds/107Mi)
% 1.54/1.40 % (4477)Instruction limit reached!
% 1.54/1.40 % (4477)------------------------------
% 1.54/1.40 % (4477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.40 % (4477)Termination reason: Unknown
% 1.54/1.40 % (4477)Termination phase: Saturation
% 1.54/1.40
% 1.54/1.40 % (4477)Memory used [KB]: 6140
% 1.54/1.40 % (4477)Time elapsed: 0.029 s
% 1.54/1.40 % (4477)Instructions burned: 89 (million)
% 1.54/1.40 % (4477)------------------------------
% 1.54/1.40 % (4477)------------------------------
% 1.54/1.41 % (4479)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_4343 for (2997ds/39Mi)
% 1.54/1.42 % (4478)Instruction limit reached!
% 1.54/1.42 % (4478)------------------------------
% 1.54/1.42 % (4478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.42 % (4478)Termination reason: Unknown
% 1.54/1.42 % (4478)Termination phase: Saturation
% 1.54/1.42
% 1.54/1.42 % (4478)Memory used [KB]: 5884
% 1.54/1.42 % (4478)Time elapsed: 0.059 s
% 1.54/1.42 % (4478)Instructions burned: 107 (million)
% 1.54/1.42 % (4478)------------------------------
% 1.54/1.42 % (4478)------------------------------
% 1.54/1.43 % (4479)Instruction limit reached!
% 1.54/1.43 % (4479)------------------------------
% 1.54/1.43 % (4479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.43 % (4479)Termination reason: Unknown
% 1.54/1.43 % (4479)Termination phase: Saturation
% 1.54/1.43
% 1.54/1.43 % (4479)Memory used [KB]: 5628
% 1.54/1.43 % (4479)Time elapsed: 0.036 s
% 1.54/1.43 % (4479)Instructions burned: 41 (million)
% 1.54/1.43 % (4479)------------------------------
% 1.54/1.43 % (4479)------------------------------
% 1.54/1.43 % (4480)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_4343 for (2997ds/448Mi)
% 1.54/1.44 % (4481)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_4343 for (2997ds/46Mi)
% 1.54/1.45 % (4481)Instruction limit reached!
% 1.54/1.45 % (4481)------------------------------
% 1.54/1.45 % (4481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.45 % (4481)Termination reason: Unknown
% 1.54/1.45 % (4481)Termination phase: Saturation
% 1.54/1.45
% 1.54/1.45 % (4481)Memory used [KB]: 5884
% 1.54/1.45 % (4481)Time elapsed: 0.041 s
% 1.54/1.45 % (4481)Instructions burned: 47 (million)
% 1.54/1.45 % (4481)------------------------------
% 1.54/1.45 % (4481)------------------------------
% 1.54/1.46 % (4466)Instruction limit reached!
% 1.54/1.46 % (4466)------------------------------
% 1.54/1.46 % (4466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.46 % (4466)Termination reason: Unknown
% 1.54/1.46 % (4466)Termination phase: Saturation
% 1.54/1.46
% 1.54/1.46 % (4466)Memory used [KB]: 6140
% 1.54/1.46 % (4466)Time elapsed: 0.179 s
% 1.54/1.46 % (4466)Instructions burned: 378 (million)
% 1.54/1.46 % (4466)------------------------------
% 1.54/1.46 % (4466)------------------------------
% 1.54/1.46 % (4482)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_4343 for (2997ds/98Mi)
% 1.54/1.47 % (4483)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_4343 for (2997ds/507Mi)
% 1.54/1.48 % (4483)Refutation not found, incomplete strategy
% 1.54/1.48 % (4483)------------------------------
% 1.54/1.48 % (4483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.48 % (4483)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.48
% 1.54/1.48
% 1.54/1.48 % (4483)Memory used [KB]: 5628
% 1.54/1.48 % (4483)Time elapsed: 0.004 s
% 1.54/1.48 % (4483)Instructions burned: 8 (million)
% 1.54/1.48 % (4483)------------------------------
% 1.54/1.48 % (4483)------------------------------
% 1.54/1.48 % (4467)Instruction limit reached!
% 1.54/1.48 % (4467)------------------------------
% 1.54/1.48 % (4467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.48 % (4467)Termination reason: Unknown
% 1.54/1.48 % (4467)Termination phase: Saturation
% 1.54/1.48
% 1.54/1.48 % (4467)Memory used [KB]: 15863
% 1.54/1.48 % (4467)Time elapsed: 0.202 s
% 1.54/1.48 % (4467)Instructions burned: 780 (million)
% 1.54/1.48 % (4467)------------------------------
% 1.54/1.48 % (4467)------------------------------
% 1.54/1.49 % (4484)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_4343 for (2997ds/149Mi)
% 1.54/1.49 % (4485)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_4343 for (2996ds/39Mi)
% 1.54/1.50 % (4482)Instruction limit reached!
% 1.54/1.50 % (4482)------------------------------
% 1.54/1.50 % (4482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.50 % (4482)Termination reason: Unknown
% 1.54/1.50 % (4482)Termination phase: Saturation
% 1.54/1.50
% 1.54/1.50 % (4482)Memory used [KB]: 1279
% 1.54/1.50 % (4482)Time elapsed: 0.057 s
% 1.54/1.50 % (4482)Instructions burned: 98 (million)
% 1.54/1.50 % (4482)------------------------------
% 1.54/1.50 % (4482)------------------------------
% 1.54/1.50 % (4485)Instruction limit reached!
% 1.54/1.50 % (4485)------------------------------
% 1.54/1.50 % (4485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.50 % (4485)Termination reason: Unknown
% 1.54/1.50 % (4485)Termination phase: Saturation
% 1.54/1.50
% 1.54/1.50 % (4485)Memory used [KB]: 5756
% 1.54/1.50 % (4485)Time elapsed: 0.014 s
% 1.54/1.50 % (4485)Instructions burned: 41 (million)
% 1.54/1.50 % (4485)------------------------------
% 1.54/1.50 % (4485)------------------------------
% 1.54/1.51 % (4486)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_4343 for (2996ds/6Mi)
% 1.54/1.51 % (4486)Instruction limit reached!
% 1.54/1.51 % (4486)------------------------------
% 1.54/1.51 % (4486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.51 % (4486)Termination reason: Unknown
% 1.54/1.51 % (4486)Termination phase: Saturation
% 1.54/1.51
% 1.54/1.51 % (4486)Memory used [KB]: 9978
% 1.54/1.51 % (4486)Time elapsed: 0.004 s
% 1.54/1.51 % (4486)Instructions burned: 8 (million)
% 1.54/1.51 % (4486)------------------------------
% 1.54/1.51 % (4486)------------------------------
% 1.54/1.51 % (4487)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_4343 for (2996ds/1087Mi)
% 1.54/1.52 % (4488)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_4343 for (2996ds/47Mi)
% 1.54/1.54 % (4488)Instruction limit reached!
% 1.54/1.54 % (4488)------------------------------
% 1.54/1.54 % (4488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.54 % (4488)Termination reason: Unknown
% 1.54/1.54 % (4488)Termination phase: Saturation
% 1.54/1.54
% 1.54/1.54 % (4488)Memory used [KB]: 5756
% 1.54/1.54 % (4488)Time elapsed: 0.018 s
% 1.54/1.54 % (4488)Instructions burned: 48 (million)
% 1.54/1.54 % (4488)------------------------------
% 1.54/1.54 % (4488)------------------------------
% 1.54/1.54 % (4451)Refutation not found, non-redundant clauses discarded% (4451)------------------------------
% 1.54/1.54 % (4451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.54 % (4451)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.54/1.54
% 1.54/1.54 % (4451)Memory used [KB]: 7419
% 1.54/1.54 % (4451)Time elapsed: 0.330 s
% 1.54/1.54 % (4451)Instructions burned: 1040 (million)
% 1.54/1.54 % (4451)------------------------------
% 1.54/1.54 % (4451)------------------------------
% 1.54/1.55 % (4489)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_4343 for (2996ds/44Mi)
% 1.54/1.55 % (4484)Instruction limit reached!
% 1.54/1.55 % (4484)------------------------------
% 1.54/1.55 % (4484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.55 % (4484)Termination reason: Unknown
% 1.54/1.55 % (4484)Termination phase: Saturation
% 1.54/1.55
% 1.54/1.55 % (4484)Memory used [KB]: 6268
% 1.54/1.55 % (4484)Time elapsed: 0.089 s
% 1.54/1.55 % (4484)Instructions burned: 150 (million)
% 1.54/1.55 % (4484)------------------------------
% 1.54/1.55 % (4484)------------------------------
% 1.54/1.55 % (4490)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_4343 for (2996ds/432Mi)
% 1.54/1.56 % (4489)Instruction limit reached!
% 1.54/1.56 % (4489)------------------------------
% 1.54/1.56 % (4489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.56 % (4489)Termination reason: Unknown
% 1.54/1.56 % (4489)Termination phase: Saturation
% 1.54/1.56
% 1.54/1.56 % (4489)Memory used [KB]: 1151
% 1.54/1.56 % (4489)Time elapsed: 0.017 s
% 1.54/1.56 % (4489)Instructions burned: 46 (million)
% 1.54/1.56 % (4489)------------------------------
% 1.54/1.56 % (4489)------------------------------
% 1.54/1.57 % (4491)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_4343 for (2996ds/62Mi)
% 1.54/1.57 % (4492)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_4343 for (2996ds/31Mi)
% 1.54/1.58 % (4480)Instruction limit reached!
% 1.54/1.58 % (4480)------------------------------
% 1.54/1.58 % (4480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.58 % (4480)Termination reason: Unknown
% 1.54/1.58 % (4480)Termination phase: Saturation
% 1.54/1.58
% 1.54/1.58 % (4480)Memory used [KB]: 6524
% 1.54/1.58 % (4480)Time elapsed: 0.170 s
% 1.54/1.58 % (4480)Instructions burned: 448 (million)
% 1.54/1.58 % (4480)------------------------------
% 1.54/1.58 % (4480)------------------------------
% 1.54/1.59 % (4492)Instruction limit reached!
% 1.54/1.59 % (4492)------------------------------
% 1.54/1.59 % (4492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.59 % (4492)Termination reason: Unknown
% 1.54/1.59 % (4492)Termination phase: Saturation
% 1.54/1.59
% 1.54/1.59 % (4492)Memory used [KB]: 5756
% 1.54/1.59 % (4492)Time elapsed: 0.013 s
% 1.54/1.59 % (4492)Instructions burned: 31 (million)
% 1.54/1.59 % (4492)------------------------------
% 1.54/1.59 % (4492)------------------------------
% 1.54/1.59 % (4493)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_4343 for (2995ds/96Mi)
% 1.54/1.59 % (4494)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_4343 for (2995ds/453Mi)
% 1.54/1.60 % (4491)Instruction limit reached!
% 1.54/1.60 % (4491)------------------------------
% 1.54/1.60 % (4491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.60 % (4491)Termination reason: Unknown
% 1.54/1.60 % (4491)Termination phase: Saturation
% 1.54/1.60
% 1.54/1.60 % (4491)Memory used [KB]: 5884
% 1.54/1.60 % (4491)Time elapsed: 0.032 s
% 1.54/1.60 % (4491)Instructions burned: 63 (million)
% 1.54/1.60 % (4491)------------------------------
% 1.54/1.60 % (4491)------------------------------
% 1.54/1.60 % (4460)Instruction limit reached!
% 1.54/1.60 % (4460)------------------------------
% 1.54/1.60 % (4460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.60 % (4460)Termination reason: Unknown
% 1.54/1.60 % (4460)Termination phase: Saturation
% 1.54/1.60
% 1.54/1.60 % (4460)Memory used [KB]: 7675
% 1.54/1.60 % (4460)Time elapsed: 0.346 s
% 1.54/1.60 % (4460)Instructions burned: 710 (million)
% 1.54/1.60 % (4460)------------------------------
% 1.54/1.60 % (4460)------------------------------
% 1.54/1.61 % (4494)Refutation not found, incomplete strategy
% 1.54/1.61 % (4494)------------------------------
% 1.54/1.61 % (4494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.61 % (4494)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.61
% 1.54/1.61
% 1.54/1.61 % (4494)Memory used [KB]: 5628
% 1.54/1.61 % (4494)Time elapsed: 0.014 s
% 1.54/1.61 % (4494)Instructions burned: 41 (million)
% 1.54/1.61 % (4494)------------------------------
% 1.54/1.61 % (4494)------------------------------
% 1.54/1.61 % (4495)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_4343 for (2995ds/71Mi)
% 1.54/1.62 % (4497)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_4343 for (2995ds/11Mi)
% 1.54/1.62 % (4493)Instruction limit reached!
% 1.54/1.62 % (4493)------------------------------
% 1.54/1.62 % (4493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.62 % (4493)Termination reason: Unknown
% 1.54/1.62 % (4493)Termination phase: Saturation
% 1.54/1.62
% 1.54/1.62 % (4493)Memory used [KB]: 5884
% 1.54/1.62 % (4493)Time elapsed: 0.031 s
% 1.54/1.62 % (4493)Instructions burned: 98 (million)
% 1.54/1.62 % (4493)------------------------------
% 1.54/1.62 % (4493)------------------------------
% 1.54/1.62 % (4497)Instruction limit reached!
% 1.54/1.62 % (4497)------------------------------
% 1.54/1.62 % (4497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.62 % (4497)Termination reason: Unknown
% 1.54/1.62 % (4497)Termination phase: Saturation
% 1.54/1.62
% 1.54/1.62 % (4497)Memory used [KB]: 5500
% 1.54/1.62 % (4497)Time elapsed: 0.005 s
% 1.54/1.62 % (4497)Instructions burned: 13 (million)
% 1.54/1.62 % (4497)------------------------------
% 1.54/1.62 % (4497)------------------------------
% 1.54/1.62 % (4469)Instruction limit reached!
% 1.54/1.62 % (4469)------------------------------
% 1.54/1.62 % (4469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.62 % (4469)Termination reason: Unknown
% 1.54/1.62 % (4469)Termination phase: Saturation
% 1.54/1.62
% 1.54/1.62 % (4469)Memory used [KB]: 7419
% 1.54/1.62 % (4469)Time elapsed: 0.339 s
% 1.54/1.62 % (4469)Instructions burned: 879 (million)
% 1.54/1.62 % (4469)------------------------------
% 1.54/1.62 % (4469)------------------------------
% 1.54/1.62 % (4496)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_4343 for (2995ds/83Mi)
% 1.54/1.63 % (4498)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_4343 for (2995ds/41Mi)
% 1.54/1.63 % (4499)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_4343 for (2995ds/6Mi)
% 1.54/1.63 % (4498)Refutation not found, incomplete strategy
% 1.54/1.63 % (4498)------------------------------
% 1.54/1.63 % (4498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.63 % (4498)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.63
% 1.54/1.63
% 1.54/1.63 % (4498)Memory used [KB]: 5500
% 1.54/1.63 % (4498)Time elapsed: 0.004 s
% 1.54/1.63 % (4498)Instructions burned: 11 (million)
% 1.54/1.63 % (4498)------------------------------
% 1.54/1.63 % (4498)------------------------------
% 1.54/1.63 % (4500)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_4343 for (2995ds/150Mi)
% 1.54/1.63 % (4499)Instruction limit reached!
% 1.54/1.63 % (4499)------------------------------
% 1.54/1.63 % (4499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.63 % (4499)Termination reason: Unknown
% 1.54/1.63 % (4499)Termination phase: Saturation
% 1.54/1.63
% 1.54/1.63 % (4499)Memory used [KB]: 5500
% 1.54/1.63 % (4499)Time elapsed: 0.003 s
% 1.54/1.63 % (4499)Instructions burned: 7 (million)
% 1.54/1.63 % (4499)------------------------------
% 1.54/1.63 % (4499)------------------------------
% 1.54/1.64 % (4500)Refutation not found, incomplete strategy
% 1.54/1.64 % (4500)------------------------------
% 1.54/1.64 % (4500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.64 % (4500)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.64
% 1.54/1.64
% 1.54/1.64 % (4500)Memory used [KB]: 5628
% 1.54/1.64 % (4500)Time elapsed: 0.004 s
% 1.54/1.64 % (4500)Instructions burned: 9 (million)
% 1.54/1.64 % (4500)------------------------------
% 1.54/1.64 % (4500)------------------------------
% 1.54/1.64 % (4501)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_4343 for (2995ds/343Mi)
% 1.54/1.64 % (4502)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_4343 for (2995ds/109Mi)
% 1.54/1.65 % (4503)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_4343 for (2995ds/253Mi)
% 1.54/1.65 % (4495)Instruction limit reached!
% 1.54/1.65 % (4495)------------------------------
% 1.54/1.65 % (4495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.65 % (4495)Termination reason: Unknown
% 1.54/1.65 % (4495)Termination phase: Saturation
% 1.54/1.65
% 1.54/1.65 % (4495)Memory used [KB]: 5756
% 1.54/1.65 % (4495)Time elapsed: 0.037 s
% 1.54/1.65 % (4495)Instructions burned: 71 (million)
% 1.54/1.65 % (4495)------------------------------
% 1.54/1.65 % (4495)------------------------------
% 1.54/1.66 % (4496)Instruction limit reached!
% 1.54/1.66 % (4496)------------------------------
% 1.54/1.66 % (4496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.66 % (4496)Termination reason: Unknown
% 1.54/1.66 % (4496)Termination phase: Saturation
% 1.54/1.66
% 1.54/1.66 % (4496)Memory used [KB]: 5884
% 1.54/1.66 % (4496)Time elapsed: 0.042 s
% 1.54/1.66 % (4496)Instructions burned: 84 (million)
% 1.54/1.66 % (4496)------------------------------
% 1.54/1.66 % (4496)------------------------------
% 1.54/1.67 % (4504)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_4343 for (2995ds/140Mi)
% 1.54/1.68 % (4502)Instruction limit reached!
% 1.54/1.68 % (4502)------------------------------
% 1.54/1.68 % (4502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.68 % (4502)Termination reason: Unknown
% 1.54/1.68 % (4502)Termination phase: Saturation
% 1.54/1.68
% 1.54/1.68 % (4502)Memory used [KB]: 6012
% 1.54/1.68 % (4502)Time elapsed: 0.034 s
% 1.54/1.68 % (4502)Instructions burned: 111 (million)
% 1.54/1.68 % (4502)------------------------------
% 1.54/1.68 % (4502)------------------------------
% 1.54/1.68 % (4490)Instruction limit reached!
% 1.54/1.68 % (4490)------------------------------
% 1.54/1.68 % (4490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.68 % (4490)Termination reason: Unknown
% 1.54/1.68 % (4490)Termination phase: Saturation
% 1.54/1.68
% 1.54/1.68 % (4490)Memory used [KB]: 3454
% 1.54/1.68 % (4490)Time elapsed: 0.124 s
% 1.54/1.68 % (4490)Instructions burned: 433 (million)
% 1.54/1.68 % (4490)------------------------------
% 1.54/1.68 % (4490)------------------------------
% 1.54/1.68 % (4505)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_4343 for (2995ds/614Mi)
% 1.54/1.68 % (4506)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_4343 for (2995ds/202Mi)
% 1.54/1.69 % (4507)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_4343 for (2995ds/339Mi)
% 1.54/1.69 % (4506)Refutation not found, incomplete strategy
% 1.54/1.69 % (4506)------------------------------
% 1.54/1.69 % (4506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.69 % (4506)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.69
% 1.54/1.69
% 1.54/1.69 % (4506)Memory used [KB]: 5628
% 1.54/1.69 % (4506)Time elapsed: 0.005 s
% 1.54/1.69 % (4506)Instructions burned: 13 (million)
% 1.54/1.69 % (4506)------------------------------
% 1.54/1.69 % (4506)------------------------------
% 1.54/1.70 % (4508)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_4343 for (2994ds/283Mi)
% 1.54/1.72 % (4503)Instruction limit reached!
% 1.54/1.72 % (4503)------------------------------
% 1.54/1.72 % (4503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.72 % (4503)Termination reason: Unknown
% 1.54/1.72 % (4503)Termination phase: Saturation
% 1.54/1.72
% 1.54/1.72 % (4503)Memory used [KB]: 6396
% 1.54/1.72 % (4503)Time elapsed: 0.078 s
% 1.54/1.72 % (4503)Instructions burned: 254 (million)
% 1.54/1.72 % (4503)------------------------------
% 1.54/1.72 % (4503)------------------------------
% 1.54/1.73 % (4509)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_4343 for (2994ds/134Mi)
% 1.54/1.74 % (4504)Instruction limit reached!
% 1.54/1.74 % (4504)------------------------------
% 1.54/1.74 % (4504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.74 % (4504)Termination reason: Unknown
% 1.54/1.74 % (4504)Termination phase: Saturation
% 1.54/1.74
% 1.54/1.74 % (4504)Memory used [KB]: 6012
% 1.54/1.74 % (4504)Time elapsed: 0.073 s
% 1.54/1.74 % (4504)Instructions burned: 141 (million)
% 1.54/1.74 % (4504)------------------------------
% 1.54/1.74 % (4504)------------------------------
% 1.54/1.75 % (4501)Instruction limit reached!
% 1.54/1.75 % (4501)------------------------------
% 1.54/1.75 % (4501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.75 % (4501)Termination reason: Unknown
% 1.54/1.75 % (4501)Termination phase: Saturation
% 1.54/1.75
% 1.54/1.75 % (4501)Memory used [KB]: 6652
% 1.54/1.75 % (4501)Time elapsed: 0.106 s
% 1.54/1.75 % (4501)Instructions burned: 344 (million)
% 1.54/1.75 % (4501)------------------------------
% 1.54/1.75 % (4501)------------------------------
% 1.54/1.76 % (4511)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_4343 for (2994ds/192Mi)
% 1.54/1.76 % (4510)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_4343 for (2994ds/298Mi)
% 1.54/1.77 % (4509)Instruction limit reached!
% 1.54/1.77 % (4509)------------------------------
% 1.54/1.77 % (4509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.77 % (4509)Termination reason: Unknown
% 1.54/1.77 % (4509)Termination phase: Saturation
% 1.54/1.77
% 1.54/1.77 % (4509)Memory used [KB]: 6268
% 1.54/1.77 % (4509)Time elapsed: 0.041 s
% 1.54/1.77 % (4509)Instructions burned: 135 (million)
% 1.54/1.77 % (4509)------------------------------
% 1.54/1.77 % (4509)------------------------------
% 1.54/1.78 % (4508)Instruction limit reached!
% 1.54/1.78 % (4508)------------------------------
% 1.54/1.78 % (4508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.78 % (4508)Termination reason: Unknown
% 1.54/1.78 % (4508)Termination phase: Saturation
% 1.54/1.78
% 1.54/1.78 % (4508)Memory used [KB]: 7419
% 1.54/1.78 % (4508)Time elapsed: 0.079 s
% 1.54/1.78 % (4508)Instructions burned: 285 (million)
% 1.54/1.78 % (4508)------------------------------
% 1.54/1.78 % (4508)------------------------------
% 1.54/1.78 % (4512)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_4343 for (2994ds/258Mi)
% 1.54/1.79 % (4513)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_4343 for (2994ds/90Mi)
% 1.54/1.79 % (4507)Instruction limit reached!
% 1.54/1.79 % (4507)------------------------------
% 1.54/1.79 % (4507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.79 % (4507)Termination reason: Unknown
% 1.54/1.79 % (4507)Termination phase: Saturation
% 1.54/1.79
% 1.54/1.79 % (4507)Memory used [KB]: 6268
% 1.54/1.79 % (4507)Time elapsed: 0.104 s
% 1.54/1.79 % (4507)Instructions burned: 339 (million)
% 1.54/1.79 % (4507)------------------------------
% 1.54/1.79 % (4507)------------------------------
% 1.54/1.80 % (4514)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_4343 for (2993ds/231Mi)
% 1.54/1.81 % (4511)Instruction limit reached!
% 1.54/1.81 % (4511)------------------------------
% 1.54/1.81 % (4511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.81 % (4511)Termination reason: Unknown
% 1.54/1.81 % (4511)Termination phase: Saturation
% 1.54/1.81
% 1.54/1.81 % (4511)Memory used [KB]: 6396
% 1.54/1.81 % (4511)Time elapsed: 0.055 s
% 1.54/1.81 % (4511)Instructions burned: 192 (million)
% 1.54/1.81 % (4511)------------------------------
% 1.54/1.81 % (4511)------------------------------
% 1.54/1.82 % (4513)Instruction limit reached!
% 1.54/1.82 % (4513)------------------------------
% 1.54/1.82 % (4513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.82 % (4513)Termination reason: Unknown
% 1.54/1.82 % (4513)Termination phase: Saturation
% 1.54/1.82
% 1.54/1.82 % (4513)Memory used [KB]: 5884
% 1.54/1.82 % (4513)Time elapsed: 0.030 s
% 1.54/1.82 % (4513)Instructions burned: 92 (million)
% 1.54/1.82 % (4513)------------------------------
% 1.54/1.82 % (4513)------------------------------
% 1.54/1.82 % (4515)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_4343 for (2993ds/458Mi)
% 1.54/1.83 % (4516)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_4343 for (2993ds/31Mi)
% 1.54/1.83 % (4487)Instruction limit reached!
% 1.54/1.83 % (4487)------------------------------
% 1.54/1.83 % (4487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.83 % (4487)Termination reason: Unknown
% 1.54/1.83 % (4487)Termination phase: Saturation
% 1.54/1.83
% 1.54/1.83 % (4487)Memory used [KB]: 7547
% 1.54/1.83 % (4487)Time elapsed: 0.322 s
% 1.54/1.83 % (4487)Instructions burned: 1087 (million)
% 1.54/1.83 % (4487)------------------------------
% 1.54/1.83 % (4487)------------------------------
% 1.54/1.84 % (4516)Instruction limit reached!
% 1.54/1.84 % (4516)------------------------------
% 1.54/1.84 % (4516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.84 % (4516)Termination reason: Unknown
% 1.54/1.84 % (4516)Termination phase: Saturation
% 1.54/1.84
% 1.54/1.84 % (4516)Memory used [KB]: 5756
% 1.54/1.84 % (4516)Time elapsed: 0.012 s
% 1.54/1.84 % (4516)Instructions burned: 33 (million)
% 1.54/1.84 % (4516)------------------------------
% 1.54/1.84 % (4516)------------------------------
% 1.54/1.84 % (4517)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_4343 for (2993ds/297Mi)
% 1.54/1.85 % (4518)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_4343 for (2993ds/987Mi)
% 1.54/1.86 % (4512)Instruction limit reached!
% 1.54/1.86 % (4512)------------------------------
% 1.54/1.86 % (4512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.86 % (4512)Termination reason: Unknown
% 1.54/1.86 % (4512)Termination phase: Saturation
% 1.54/1.86
% 1.54/1.86 % (4512)Memory used [KB]: 6268
% 1.54/1.86 % (4512)Time elapsed: 0.080 s
% 1.54/1.86 % (4512)Instructions burned: 258 (million)
% 1.54/1.86 % (4512)------------------------------
% 1.54/1.86 % (4512)------------------------------
% 1.54/1.86 % (4514)Instruction limit reached!
% 1.54/1.86 % (4514)------------------------------
% 1.54/1.86 % (4514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.86 % (4514)Termination reason: Unknown
% 1.54/1.86 % (4514)Termination phase: Saturation
% 1.54/1.86
% 1.54/1.86 % (4514)Memory used [KB]: 6012
% 1.54/1.86 % (4514)Time elapsed: 0.066 s
% 1.54/1.86 % (4514)Instructions burned: 234 (million)
% 1.54/1.86 % (4514)------------------------------
% 1.54/1.86 % (4514)------------------------------
% 1.54/1.87 % (4519)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_4343 for (2993ds/182Mi)
% 1.54/1.87 % (4520)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_4343 for (2993ds/182Mi)
% 1.54/1.90 % (4510)Instruction limit reached!
% 1.54/1.90 % (4510)------------------------------
% 1.54/1.90 % (4510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.90 % (4510)Termination reason: Unknown
% 1.54/1.90 % (4510)Termination phase: Saturation
% 1.54/1.90
% 1.54/1.90 % (4510)Memory used [KB]: 6396
% 1.54/1.90 % (4510)Time elapsed: 0.143 s
% 1.54/1.90 % (4510)Instructions burned: 299 (million)
% 1.54/1.90 % (4510)------------------------------
% 1.54/1.90 % (4510)------------------------------
% 1.54/1.91 % (4521)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_4343 for (2992ds/154Mi)
% 1.54/1.92 % (4519)Instruction limit reached!
% 1.54/1.92 % (4519)------------------------------
% 1.54/1.92 % (4519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.92 % (4519)Termination reason: Unknown
% 1.54/1.92 % (4519)Termination phase: Saturation
% 1.54/1.92
% 1.54/1.92 % (4519)Memory used [KB]: 6780
% 1.54/1.92 % (4519)Time elapsed: 0.055 s
% 1.54/1.92 % (4519)Instructions burned: 183 (million)
% 1.54/1.92 % (4519)------------------------------
% 1.54/1.92 % (4519)------------------------------
% 1.54/1.93 % (4520)Instruction limit reached!
% 1.54/1.93 % (4520)------------------------------
% 1.54/1.93 % (4520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.93 % (4520)Termination reason: Unknown
% 1.54/1.93 % (4520)Termination phase: Saturation
% 1.54/1.93
% 1.54/1.93 % (4520)Memory used [KB]: 6140
% 1.54/1.93 % (4520)Time elapsed: 0.058 s
% 1.54/1.93 % (4520)Instructions burned: 182 (million)
% 1.54/1.93 % (4520)------------------------------
% 1.54/1.93 % (4520)------------------------------
% 1.54/1.93 % (4522)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_4343 for (2992ds/79Mi)
% 1.54/1.94 % (4505)Instruction limit reached!
% 1.54/1.94 % (4505)------------------------------
% 1.54/1.94 % (4505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.94 % (4505)Termination reason: Unknown
% 1.54/1.94 % (4505)Termination phase: Saturation
% 1.54/1.94
% 1.54/1.94 % (4505)Memory used [KB]: 6908
% 1.54/1.94 % (4505)Time elapsed: 0.253 s
% 1.54/1.94 % (4505)Instructions burned: 616 (million)
% 1.54/1.94 % (4505)------------------------------
% 1.54/1.94 % (4505)------------------------------
% 1.54/1.94 % (4523)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_4343 for (2992ds/216Mi)
% 1.54/1.95 % (4524)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_4343 for (2992ds/114Mi)
% 1.54/1.95 % (4523)Refutation not found, incomplete strategy
% 1.54/1.95 % (4523)------------------------------
% 1.54/1.95 % (4523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.95 % (4523)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.95
% 1.54/1.95
% 1.54/1.95 % (4523)Memory used [KB]: 5628
% 1.54/1.95 % (4523)Time elapsed: 0.009 s
% 1.54/1.95 % (4523)Instructions burned: 26 (million)
% 1.54/1.95 % (4523)------------------------------
% 1.54/1.95 % (4523)------------------------------
% 1.54/1.96 % (4515)Instruction limit reached!
% 1.54/1.96 % (4515)------------------------------
% 1.54/1.96 % (4515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.96 % (4515)Termination reason: Unknown
% 1.54/1.96 % (4515)Termination phase: Saturation
% 1.54/1.96
% 1.54/1.96 % (4515)Memory used [KB]: 6652
% 1.54/1.96 % (4515)Time elapsed: 0.139 s
% 1.54/1.96 % (4515)Instructions burned: 460 (million)
% 1.54/1.96 % (4515)------------------------------
% 1.54/1.96 % (4515)------------------------------
% 1.54/1.96 % (4525)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_4343 for (2992ds/922Mi)
% 1.54/1.96 % (4522)Instruction limit reached!
% 1.54/1.96 % (4522)------------------------------
% 1.54/1.96 % (4522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.96 % (4522)Termination reason: Unknown
% 1.54/1.96 % (4522)Termination phase: Saturation
% 1.54/1.96
% 1.54/1.96 % (4522)Memory used [KB]: 5884
% 1.54/1.96 % (4522)Time elapsed: 0.027 s
% 1.54/1.96 % (4522)Instructions burned: 81 (million)
% 1.54/1.96 % (4522)------------------------------
% 1.54/1.96 % (4522)------------------------------
% 1.54/1.97 % (4526)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_4343 for (2992ds/182Mi)
% 1.54/1.97 % (4527)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_4343 for (2992ds/164Mi)
% 1.54/1.97 % (4526)Refutation not found, incomplete strategy
% 1.54/1.97 % (4526)------------------------------
% 1.54/1.97 % (4526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.97 % (4526)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.97
% 1.54/1.97
% 1.54/1.97 % (4526)Memory used [KB]: 5500
% 1.54/1.97 % (4526)Time elapsed: 0.005 s
% 1.54/1.97 % (4526)Instructions burned: 14 (million)
% 1.54/1.97 % (4526)------------------------------
% 1.54/1.97 % (4526)------------------------------
% 1.54/1.97 % (4517)Instruction limit reached!
% 1.54/1.97 % (4517)------------------------------
% 1.54/1.97 % (4517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.97 % (4517)Termination reason: Unknown
% 1.54/1.97 % (4517)Termination phase: Saturation
% 1.54/1.97
% 1.54/1.97 % (4517)Memory used [KB]: 6140
% 1.54/1.97 % (4517)Time elapsed: 0.131 s
% 1.54/1.97 % (4517)Instructions burned: 298 (million)
% 1.54/1.97 % (4517)------------------------------
% 1.54/1.97 % (4517)------------------------------
% 1.54/1.98 % (4524)Instruction limit reached!
% 1.54/1.98 % (4524)------------------------------
% 1.54/1.98 % (4524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.98 % (4524)Termination reason: Unknown
% 1.54/1.98 % (4524)Termination phase: Saturation
% 1.54/1.98
% 1.54/1.98 % (4524)Memory used [KB]: 6140
% 1.54/1.98 % (4524)Time elapsed: 0.031 s
% 1.54/1.98 % (4524)Instructions burned: 115 (million)
% 1.54/1.98 % (4524)------------------------------
% 1.54/1.98 % (4524)------------------------------
% 1.54/1.98 % (4528)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_4343 for (2992ds/50Mi)
% 1.54/1.98 % (4530)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_4343 for (2991ds/1021Mi)
% 1.54/1.99 % (4521)Instruction limit reached!
% 1.54/1.99 % (4521)------------------------------
% 1.54/1.99 % (4521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.99 % (4521)Termination reason: Unknown
% 1.54/1.99 % (4521)Termination phase: Saturation
% 1.54/1.99
% 1.54/1.99 % (4521)Memory used [KB]: 6140
% 1.54/1.99 % (4521)Time elapsed: 0.078 s
% 1.54/1.99 % (4521)Instructions burned: 155 (million)
% 1.54/1.99 % (4521)------------------------------
% 1.54/1.99 % (4521)------------------------------
% 1.54/2.00 % (4528)Instruction limit reached!
% 1.54/2.00 % (4528)------------------------------
% 1.54/2.00 % (4528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/2.00 % (4528)Termination reason: Unknown
% 1.54/2.00 % (4528)Termination phase: Saturation
% 1.54/2.00
% 1.54/2.00 % (4528)Memory used [KB]: 10234
% 1.54/2.00 % (4528)Time elapsed: 0.017 s
% 1.54/2.00 % (4528)Instructions burned: 51 (million)
% 1.54/2.00 % (4528)------------------------------
% 1.54/2.00 % (4528)------------------------------
% 1.54/2.01 % (4532)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_4343 for (2991ds/204Mi)
% 1.54/2.01 % (4529)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_4343 for (2991ds/368Mi)
% 1.54/2.01 % (4531)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_4343 for (2991ds/267Mi)
% 7.18/2.04 % (4527)Instruction limit reached!
% 7.18/2.04 % (4527)------------------------------
% 7.18/2.04 % (4527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.04 % (4527)Termination reason: Unknown
% 7.18/2.04 % (4527)Termination phase: Saturation
% 7.18/2.04
% 7.18/2.04 % (4527)Memory used [KB]: 1663
% 7.18/2.04 % (4527)Time elapsed: 0.077 s
% 7.18/2.04 % (4527)Instructions burned: 164 (million)
% 7.18/2.04 % (4527)------------------------------
% 7.18/2.04 % (4527)------------------------------
% 7.18/2.05 % (4533)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_4343 for (2991ds/26Mi)
% 7.18/2.05 % (4533)Refutation not found, incomplete strategy
% 7.18/2.05 % (4533)------------------------------
% 7.18/2.05 % (4533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.05 % (4533)Termination reason: Refutation not found, incomplete strategy
% 7.18/2.05
% 7.18/2.05
% 7.18/2.05 % (4533)Memory used [KB]: 5500
% 7.18/2.05 % (4533)Time elapsed: 0.005 s
% 7.18/2.05 % (4533)Instructions burned: 13 (million)
% 7.18/2.05 % (4533)------------------------------
% 7.18/2.05 % (4533)------------------------------
% 7.18/2.06 % (4534)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_4343 for (2991ds/53Mi)
% 7.18/2.07 % (4532)Instruction limit reached!
% 7.18/2.07 % (4532)------------------------------
% 7.18/2.07 % (4532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.07 % (4532)Termination reason: Unknown
% 7.18/2.07 % (4532)Termination phase: Saturation
% 7.18/2.07
% 7.18/2.07 % (4532)Memory used [KB]: 6012
% 7.18/2.07 % (4532)Time elapsed: 0.061 s
% 7.18/2.07 % (4532)Instructions burned: 207 (million)
% 7.18/2.07 % (4532)------------------------------
% 7.18/2.07 % (4532)------------------------------
% 7.18/2.08 % (4535)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_4343 for (2991ds/4436Mi)
% 7.18/2.08 % (4534)Instruction limit reached!
% 7.18/2.08 % (4534)------------------------------
% 7.18/2.08 % (4534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.08 % (4534)Termination reason: Unknown
% 7.18/2.08 % (4534)Termination phase: Saturation
% 7.18/2.08
% 7.18/2.08 % (4534)Memory used [KB]: 5884
% 7.18/2.08 % (4534)Time elapsed: 0.016 s
% 7.18/2.08 % (4534)Instructions burned: 53 (million)
% 7.18/2.08 % (4534)------------------------------
% 7.18/2.08 % (4534)------------------------------
% 7.18/2.09 % (4536)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_4343 for (2990ds/1539Mi)
% 7.84/2.14 % (4531)Instruction limit reached!
% 7.84/2.14 % (4531)------------------------------
% 7.84/2.14 % (4531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.14 % (4531)Termination reason: Unknown
% 7.84/2.14 % (4531)Termination phase: Saturation
% 7.84/2.14
% 7.84/2.14 % (4531)Memory used [KB]: 6012
% 7.84/2.14 % (4531)Time elapsed: 0.130 s
% 7.84/2.14 % (4531)Instructions burned: 268 (million)
% 7.84/2.14 % (4531)------------------------------
% 7.84/2.14 % (4531)------------------------------
% 7.84/2.14 % (4518)Instruction limit reached!
% 7.84/2.14 % (4518)------------------------------
% 7.84/2.14 % (4518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.14 % (4518)Termination reason: Unknown
% 7.84/2.14 % (4518)Termination phase: Saturation
% 7.84/2.14
% 7.84/2.14 % (4518)Memory used [KB]: 7291
% 7.84/2.14 % (4518)Time elapsed: 0.298 s
% 7.84/2.14 % (4518)Instructions burned: 987 (million)
% 7.84/2.14 % (4518)------------------------------
% 7.84/2.14 % (4518)------------------------------
% 7.84/2.15 % (4537)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_4343 for (2990ds/408Mi)
% 7.84/2.15 % (4538)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_4343 for (2990ds/5205Mi)
% 7.84/2.18 % (4529)Instruction limit reached!
% 7.84/2.18 % (4529)------------------------------
% 7.84/2.18 % (4529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.18 % (4529)Termination reason: Unknown
% 7.84/2.18 % (4529)Termination phase: Saturation
% 7.84/2.18
% 7.84/2.18 % (4529)Memory used [KB]: 6652
% 7.84/2.18 % (4529)Time elapsed: 0.178 s
% 7.84/2.18 % (4529)Instructions burned: 368 (million)
% 7.84/2.18 % (4529)------------------------------
% 7.84/2.18 % (4529)------------------------------
% 7.84/2.19 % (4539)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_4343 for (2989ds/1913Mi)
% 8.13/2.23 % (4525)Instruction limit reached!
% 8.13/2.23 % (4525)------------------------------
% 8.13/2.23 % (4525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.13/2.23 % (4525)Termination reason: Unknown
% 8.13/2.23 % (4525)Termination phase: Saturation
% 8.13/2.23
% 8.13/2.23 % (4525)Memory used [KB]: 6908
% 8.13/2.23 % (4525)Time elapsed: 0.297 s
% 8.13/2.23 % (4525)Instructions burned: 922 (million)
% 8.13/2.23 % (4525)------------------------------
% 8.13/2.23 % (4525)------------------------------
% 8.13/2.24 % (4540)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_4343 for (2989ds/4350Mi)
% 8.28/2.32 % (4537)Instruction limit reached!
% 8.28/2.32 % (4537)------------------------------
% 8.28/2.32 % (4537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.28/2.32 % (4537)Termination reason: Unknown
% 8.28/2.32 % (4537)Termination phase: Saturation
% 8.28/2.32
% 8.28/2.32 % (4537)Memory used [KB]: 7547
% 8.28/2.32 % (4537)Time elapsed: 0.178 s
% 8.28/2.32 % (4537)Instructions burned: 408 (million)
% 8.28/2.32 % (4537)------------------------------
% 8.28/2.32 % (4537)------------------------------
% 8.28/2.34 % (4530)Instruction limit reached!
% 8.28/2.34 % (4530)------------------------------
% 8.28/2.34 % (4530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.28/2.34 % (4530)Termination reason: Unknown
% 8.28/2.34 % (4530)Termination phase: Saturation
% 8.28/2.34
% 8.28/2.34 % (4530)Memory used [KB]: 6652
% 8.28/2.34 % (4530)Time elapsed: 0.352 s
% 8.28/2.34 % (4530)Instructions burned: 1023 (million)
% 8.28/2.34 % (4530)------------------------------
% 8.28/2.34 % (4530)------------------------------
% 8.28/2.34 % (4541)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_4343 for (2988ds/68Mi)
% 8.28/2.35 % (4542)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_4343 for (2988ds/358Mi)
% 8.28/2.37 % (4541)Instruction limit reached!
% 8.28/2.37 % (4541)------------------------------
% 8.28/2.37 % (4541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.28/2.37 % (4541)Termination reason: Unknown
% 8.28/2.37 % (4541)Termination phase: Saturation
% 8.28/2.37
% 8.28/2.37 % (4541)Memory used [KB]: 5884
% 8.28/2.37 % (4541)Time elapsed: 0.036 s
% 8.28/2.37 % (4541)Instructions burned: 69 (million)
% 8.28/2.37 % (4541)------------------------------
% 8.28/2.37 % (4541)------------------------------
% 8.28/2.39 % (4543)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_4343 for (2988ds/31Mi)
% 8.56/2.41 % (4543)Instruction limit reached!
% 8.56/2.41 % (4543)------------------------------
% 8.56/2.41 % (4543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.56/2.41 % (4543)Termination reason: Unknown
% 8.56/2.41 % (4543)Termination phase: Saturation
% 8.56/2.41
% 8.56/2.41 % (4543)Memory used [KB]: 5756
% 8.56/2.41 % (4543)Time elapsed: 0.019 s
% 8.56/2.41 % (4543)Instructions burned: 31 (million)
% 8.56/2.41 % (4543)------------------------------
% 8.56/2.41 % (4543)------------------------------
% 8.56/2.43 % (4544)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_4343 for (2987ds/279Mi)
% 8.56/2.46 % (4542)Instruction limit reached!
% 8.56/2.46 % (4542)------------------------------
% 8.56/2.46 % (4542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.56/2.46 % (4542)Termination reason: Unknown
% 8.56/2.46 % (4542)Termination phase: Saturation
% 8.56/2.46
% 8.56/2.46 % (4542)Memory used [KB]: 6396
% 8.56/2.46 % (4542)Time elapsed: 0.111 s
% 8.56/2.46 % (4542)Instructions burned: 359 (million)
% 8.56/2.46 % (4542)------------------------------
% 8.56/2.46 % (4542)------------------------------
% 8.56/2.47 % (4545)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_4343 for (2987ds/258Mi)
% 8.72/2.56 % (4544)Instruction limit reached!
% 8.72/2.56 % (4544)------------------------------
% 8.72/2.56 % (4544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.72/2.56 % (4544)Termination reason: Unknown
% 8.72/2.56 % (4544)Termination phase: Saturation
% 8.72/2.56
% 8.72/2.56 % (4544)Memory used [KB]: 6652
% 8.72/2.56 % (4544)Time elapsed: 0.138 s
% 8.72/2.56 % (4544)Instructions burned: 281 (million)
% 8.72/2.56 % (4544)------------------------------
% 8.72/2.56 % (4544)------------------------------
% 8.72/2.58 % (4545)Instruction limit reached!
% 8.72/2.58 % (4545)------------------------------
% 8.72/2.58 % (4545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.72/2.58 % (4545)Termination reason: Unknown
% 8.72/2.58 % (4545)Termination phase: Saturation
% 8.72/2.58
% 8.72/2.58 % (4545)Memory used [KB]: 6396
% 8.72/2.58 % (4545)Time elapsed: 0.109 s
% 8.72/2.58 % (4545)Instructions burned: 258 (million)
% 8.72/2.58 % (4545)------------------------------
% 8.72/2.58 % (4545)------------------------------
% 8.72/2.59 % (4536)Instruction limit reached!
% 8.72/2.59 % (4536)------------------------------
% 8.72/2.59 % (4536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.72/2.59 % (4536)Termination reason: Unknown
% 8.72/2.59 % (4536)Termination phase: Saturation
% 8.72/2.59
% 8.72/2.59 % (4536)Memory used [KB]: 7931
% 8.72/2.59 % (4536)Time elapsed: 0.501 s
% 8.72/2.59 % (4536)Instructions burned: 1541 (million)
% 8.72/2.59 % (4536)------------------------------
% 8.72/2.59 % (4536)------------------------------
% 8.72/2.59 % (4546)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_4343 for (2986ds/26Mi)
% 8.72/2.59 % (4547)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_4343 for (2986ds/995Mi)
% 8.72/2.59 % (4546)Refutation not found, incomplete strategy
% 8.72/2.59 % (4546)------------------------------
% 8.72/2.59 % (4546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.72/2.59 % (4546)Termination reason: Refutation not found, incomplete strategy
% 8.72/2.59
% 8.72/2.59
% 8.72/2.59 % (4546)Memory used [KB]: 5500
% 8.72/2.59 % (4546)Time elapsed: 0.010 s
% 8.72/2.59 % (4546)Instructions burned: 14 (million)
% 8.72/2.59 % (4546)------------------------------
% 8.72/2.59 % (4546)------------------------------
% 8.72/2.60 % (4548)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_4343 for (2985ds/373Mi)
% 9.52/2.61 % (4547)Refutation not found, incomplete strategy
% 9.52/2.61 % (4547)------------------------------
% 9.52/2.61 % (4547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.52/2.61 % (4547)Termination reason: Refutation not found, incomplete strategy
% 9.52/2.61
% 9.52/2.61
% 9.52/2.61 % (4547)Memory used [KB]: 5628
% 9.52/2.61 % (4547)Time elapsed: 0.017 s
% 9.52/2.61 % (4547)Instructions burned: 28 (million)
% 9.52/2.61 % (4547)------------------------------
% 9.52/2.61 % (4547)------------------------------
% 9.52/2.61 % (4549)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_4343 for (2985ds/253Mi)
% 9.52/2.63 % (4550)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_4343 for (2985ds/832Mi)
% 9.52/2.63 % (4550)Refutation not found, incomplete strategy
% 9.52/2.63 % (4550)------------------------------
% 9.52/2.63 % (4550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.52/2.63 % (4550)Termination reason: Refutation not found, incomplete strategy
% 9.52/2.63
% 9.52/2.63
% 9.52/2.63 % (4550)Memory used [KB]: 5500
% 9.52/2.63 % (4550)Time elapsed: 0.005 s
% 9.52/2.63 % (4550)Instructions burned: 7 (million)
% 9.52/2.63 % (4550)------------------------------
% 9.52/2.63 % (4550)------------------------------
% 9.52/2.63 % (4549)Refutation not found, incomplete strategy
% 9.52/2.63 % (4549)------------------------------
% 9.52/2.63 % (4549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.52/2.63 % (4549)Termination reason: Refutation not found, incomplete strategy
% 9.52/2.63
% 9.52/2.63
% 9.52/2.63 % (4549)Memory used [KB]: 5628
% 9.52/2.63 % (4549)Time elapsed: 0.023 s
% 9.52/2.63 % (4549)Instructions burned: 42 (million)
% 9.52/2.63 % (4549)------------------------------
% 9.52/2.63 % (4549)------------------------------
% 9.52/2.65 % (4551)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_4343 for (2985ds/668Mi)
% 9.52/2.65 % (4552)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_4343 for (2985ds/40Mi)
% 9.52/2.67 % (4552)Instruction limit reached!
% 9.52/2.67 % (4552)------------------------------
% 9.52/2.67 % (4552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.52/2.67 % (4552)Termination reason: Unknown
% 9.52/2.67 % (4552)Termination phase: Saturation
% 9.52/2.67
% 9.52/2.67 % (4552)Memory used [KB]: 5628
% 9.52/2.67 % (4552)Time elapsed: 0.022 s
% 9.52/2.67 % (4552)Instructions burned: 40 (million)
% 9.52/2.67 % (4552)------------------------------
% 9.52/2.67 % (4552)------------------------------
% 9.52/2.69 % (4553)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_4343 for (2985ds/294Mi)
% 9.66/2.70 % (4548)Instruction limit reached!
% 9.66/2.70 % (4548)------------------------------
% 9.66/2.70 % (4548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.66/2.70 % (4548)Termination reason: Unknown
% 9.66/2.70 % (4548)Termination phase: Saturation
% 9.66/2.70
% 9.66/2.70 % (4548)Memory used [KB]: 7164
% 9.66/2.70 % (4548)Time elapsed: 0.109 s
% 9.66/2.70 % (4548)Instructions burned: 375 (million)
% 9.66/2.70 % (4548)------------------------------
% 9.66/2.70 % (4548)------------------------------
% 9.66/2.71 % (4554)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_4343 for (2984ds/187Mi)
% 9.66/2.77 % (4554)Instruction limit reached!
% 9.66/2.77 % (4554)------------------------------
% 9.66/2.77 % (4554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.66/2.77 % (4554)Termination reason: Unknown
% 9.66/2.77 % (4554)Termination phase: Saturation
% 9.66/2.77
% 9.66/2.77 % (4554)Memory used [KB]: 6652
% 9.66/2.77 % (4554)Time elapsed: 0.055 s
% 9.66/2.77 % (4554)Instructions burned: 188 (million)
% 9.66/2.77 % (4554)------------------------------
% 9.66/2.77 % (4554)------------------------------
% 9.66/2.78 % (4555)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_4343 for (2984ds/371Mi)
% 9.83/2.82 % (4539)Instruction limit reached!
% 9.83/2.82 % (4539)------------------------------
% 9.83/2.82 % (4539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.83/2.82 % (4539)Termination reason: Unknown
% 9.83/2.82 % (4539)Termination phase: Saturation
% 9.83/2.82
% 9.83/2.82 % (4539)Memory used [KB]: 2814
% 9.83/2.82 % (4539)Time elapsed: 0.627 s
% 9.83/2.82 % (4539)Instructions burned: 1914 (million)
% 9.83/2.82 % (4539)------------------------------
% 9.83/2.82 % (4539)------------------------------
% 9.83/2.83 % (4556)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_4343 for (2983ds/1827Mi)
% 9.83/2.83 % (4553)Instruction limit reached!
% 9.83/2.83 % (4553)------------------------------
% 9.83/2.83 % (4553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.83/2.83 % (4553)Termination reason: Unknown
% 9.83/2.83 % (4553)Termination phase: Saturation
% 9.83/2.83
% 9.83/2.83 % (4553)Memory used [KB]: 6140
% 9.83/2.83 % (4553)Time elapsed: 0.144 s
% 9.83/2.83 % (4553)Instructions burned: 294 (million)
% 9.83/2.83 % (4553)------------------------------
% 9.83/2.83 % (4553)------------------------------
% 9.83/2.85 % (4557)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_4343 for (2983ds/70Mi)
% 9.83/2.89 % (4557)Instruction limit reached!
% 9.83/2.89 % (4557)------------------------------
% 9.83/2.89 % (4557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.83/2.89 % (4557)Termination reason: Unknown
% 9.83/2.89 % (4557)Termination phase: Saturation
% 9.83/2.89
% 9.83/2.89 % (4557)Memory used [KB]: 1279
% 9.83/2.89 % (4557)Time elapsed: 0.038 s
% 9.83/2.89 % (4557)Instructions burned: 71 (million)
% 9.83/2.89 % (4557)------------------------------
% 9.83/2.89 % (4557)------------------------------
% 9.83/2.89 % (4555)Instruction limit reached!
% 9.83/2.89 % (4555)------------------------------
% 9.83/2.89 % (4555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.83/2.89 % (4555)Termination reason: Unknown
% 9.83/2.89 % (4555)Termination phase: Saturation
% 9.83/2.89
% 9.83/2.89 % (4555)Memory used [KB]: 6908
% 9.83/2.89 % (4555)Time elapsed: 0.116 s
% 9.83/2.89 % (4555)Instructions burned: 371 (million)
% 9.83/2.89 % (4555)------------------------------
% 9.83/2.89 % (4555)------------------------------
% 10.80/2.90 % (4559)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_4343 for (2982ds/932Mi)
% 10.80/2.90 % (4558)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_4343 for (2982ds/316Mi)
% 10.80/2.92 % (4551)Refutation not found, non-redundant clauses discarded% (4551)------------------------------
% 10.80/2.92 % (4551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/2.92 % (4551)Termination reason: Refutation not found, non-redundant clauses discarded
% 10.80/2.92
% 10.80/2.92 % (4551)Memory used [KB]: 11641
% 10.80/2.92 % (4551)Time elapsed: 0.269 s
% 10.80/2.92 % (4551)Instructions burned: 549 (million)
% 10.80/2.92 % (4551)------------------------------
% 10.80/2.92 % (4551)------------------------------
% 10.80/2.92 % (4558)Refutation not found, incomplete strategy
% 10.80/2.92 % (4558)------------------------------
% 10.80/2.92 % (4558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/2.92 % (4558)Termination reason: Refutation not found, incomplete strategy
% 10.80/2.92
% 10.80/2.92
% 10.80/2.92 % (4558)Memory used [KB]: 6012
% 10.80/2.92 % (4558)Time elapsed: 0.020 s
% 10.80/2.92 % (4558)Instructions burned: 45 (million)
% 10.80/2.92 % (4558)------------------------------
% 10.80/2.92 % (4558)------------------------------
% 10.80/2.93 % (4561)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_4343 for (2982ds/8250Mi)
% 10.80/2.93 % (4560)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_4343 for (2982ds/4714Mi)
% 10.80/2.96 % (4560)Refutation not found, incomplete strategy
% 10.80/2.96 % (4560)------------------------------
% 10.80/2.96 % (4560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/2.96 % (4560)Termination reason: Refutation not found, incomplete strategy
% 10.80/2.96
% 10.80/2.96
% 10.80/2.96 % (4560)Memory used [KB]: 5628
% 10.80/2.96 % (4560)Time elapsed: 0.022 s
% 10.80/2.96 % (4560)Instructions burned: 41 (million)
% 10.80/2.96 % (4560)------------------------------
% 10.80/2.96 % (4560)------------------------------
% 10.80/2.97 % (4562)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_4343 for (2982ds/770Mi)
% 14.93/3.16 % (4559)Instruction limit reached!
% 14.93/3.16 % (4559)------------------------------
% 14.93/3.16 % (4559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.93/3.16 % (4559)Termination reason: Unknown
% 14.93/3.16 % (4559)Termination phase: Saturation
% 14.93/3.16
% 14.93/3.16 % (4559)Memory used [KB]: 8059
% 14.93/3.16 % (4559)Time elapsed: 0.258 s
% 14.93/3.16 % (4559)Instructions burned: 932 (million)
% 14.93/3.16 % (4559)------------------------------
% 14.93/3.16 % (4559)------------------------------
% 14.93/3.17 % (4563)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_4343 for (2980ds/794Mi)
% 16.00/3.32 % (4562)Refutation not found, non-redundant clauses discarded% (4562)------------------------------
% 16.00/3.32 % (4562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.00/3.32 % (4562)Termination reason: Refutation not found, non-redundant clauses discarded
% 16.00/3.32
% 16.00/3.32 % (4562)Memory used [KB]: 6780
% 16.00/3.32 % (4562)Time elapsed: 0.350 s
% 16.00/3.32 % (4562)Instructions burned: 740 (million)
% 16.00/3.32 % (4562)------------------------------
% 16.00/3.32 % (4562)------------------------------
% 16.00/3.34 % (4564)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_4343 for (2978ds/464Mi)
% 16.00/3.36 % (4556)Instruction limit reached!
% 16.00/3.36 % (4556)------------------------------
% 16.00/3.36 % (4556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.00/3.36 % (4556)Termination reason: Unknown
% 16.00/3.36 % (4556)Termination phase: Saturation
% 16.00/3.36
% 16.00/3.36 % (4556)Memory used [KB]: 8059
% 16.00/3.36 % (4556)Time elapsed: 0.529 s
% 16.00/3.36 % (4556)Instructions burned: 1829 (million)
% 16.00/3.36 % (4556)------------------------------
% 16.00/3.36 % (4556)------------------------------
% 16.00/3.37 % (4565)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_4343 for (2978ds/1376Mi)
% 16.00/3.37 % (4535)Instruction limit reached!
% 16.00/3.37 % (4535)------------------------------
% 16.00/3.37 % (4535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.00/3.37 % (4535)Termination reason: Unknown
% 16.00/3.37 % (4535)Termination phase: Saturation
% 16.00/3.37
% 16.00/3.37 % (4535)Memory used [KB]: 11257
% 16.00/3.37 % (4535)Time elapsed: 1.297 s
% 16.00/3.37 % (4535)Instructions burned: 4438 (million)
% 16.00/3.37 % (4535)------------------------------
% 16.00/3.37 % (4535)------------------------------
% 16.00/3.38 % (4566)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_4343 for (2978ds/906Mi)
% 16.48/3.40 % (4563)Instruction limit reached!
% 16.48/3.40 % (4563)------------------------------
% 16.48/3.40 % (4563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.48/3.40 % (4563)Termination reason: Unknown
% 16.48/3.40 % (4563)Termination phase: Saturation
% 16.48/3.40
% 16.48/3.40 % (4563)Memory used [KB]: 3070
% 16.48/3.40 % (4563)Time elapsed: 0.233 s
% 16.48/3.40 % (4563)Instructions burned: 795 (million)
% 16.48/3.40 % (4563)------------------------------
% 16.48/3.40 % (4563)------------------------------
% 16.48/3.41 % (4567)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_4343 for (2977ds/434Mi)
% 16.48/3.49 % (4564)Instruction limit reached!
% 16.48/3.49 % (4564)------------------------------
% 16.48/3.49 % (4564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.48/3.49 % (4564)Termination reason: Unknown
% 16.48/3.49 % (4564)Termination phase: Saturation
% 16.48/3.49
% 16.48/3.49 % (4564)Memory used [KB]: 6524
% 16.48/3.49 % (4564)Time elapsed: 0.170 s
% 16.48/3.49 % (4564)Instructions burned: 465 (million)
% 16.48/3.49 % (4564)------------------------------
% 16.48/3.49 % (4564)------------------------------
% 17.19/3.50 % (4568)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_4343 for (2977ds/865Mi)
% 17.19/3.55 % (4567)Instruction limit reached!
% 17.19/3.55 % (4567)------------------------------
% 17.19/3.55 % (4567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.19/3.55 % (4567)Termination reason: Unknown
% 17.19/3.55 % (4567)Termination phase: Saturation
% 17.19/3.55
% 17.19/3.55 % (4567)Memory used [KB]: 6652
% 17.19/3.55 % (4567)Time elapsed: 0.160 s
% 17.19/3.55 % (4567)Instructions burned: 434 (million)
% 17.19/3.55 % (4567)------------------------------
% 17.19/3.55 % (4567)------------------------------
% 17.19/3.56 % (4569)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_4343 for (2976ds/593Mi)
% 17.94/3.70 % (4568)Instruction limit reached!
% 17.94/3.70 % (4568)------------------------------
% 17.94/3.70 % (4568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.70 % (4568)Termination reason: Unknown
% 17.94/3.70 % (4568)Termination phase: Saturation
% 17.94/3.70
% 17.94/3.70 % (4568)Memory used [KB]: 9466
% 17.94/3.70 % (4568)Time elapsed: 0.229 s
% 17.94/3.70 % (4568)Instructions burned: 865 (million)
% 17.94/3.70 % (4568)------------------------------
% 17.94/3.70 % (4568)------------------------------
% 17.94/3.71 % (4570)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_4343 for (2974ds/443Mi)
% 17.94/3.72 % (4538)Instruction limit reached!
% 17.94/3.72 % (4538)------------------------------
% 17.94/3.72 % (4538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.72 % (4538)Termination reason: Unknown
% 17.94/3.72 % (4538)Termination phase: Saturation
% 17.94/3.72
% 17.94/3.72 % (4538)Memory used [KB]: 14839
% 17.94/3.72 % (4538)Time elapsed: 1.567 s
% 17.94/3.72 % (4538)Instructions burned: 5206 (million)
% 17.94/3.72 % (4538)------------------------------
% 17.94/3.72 % (4538)------------------------------
% 17.94/3.72 % (4540)Refutation not found, non-redundant clauses discarded% (4540)------------------------------
% 17.94/3.72 % (4540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.72 % (4540)Termination reason: Refutation not found, non-redundant clauses discarded
% 17.94/3.72
% 17.94/3.72 % (4540)Memory used [KB]: 11513
% 17.94/3.72 % (4540)Time elapsed: 1.479 s
% 17.94/3.72 % (4540)Instructions burned: 4175 (million)
% 17.94/3.72 % (4540)------------------------------
% 17.94/3.72 % (4540)------------------------------
% 17.94/3.73 % (4571)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_4343 for (2974ds/594Mi)
% 17.94/3.74 % (4569)Instruction limit reached!
% 17.94/3.74 % (4569)------------------------------
% 17.94/3.74 % (4569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.74 % (4569)Termination reason: Unknown
% 17.94/3.74 % (4569)Termination phase: Saturation
% 17.94/3.74
% 17.94/3.74 % (4569)Memory used [KB]: 7036
% 17.94/3.74 % (4569)Time elapsed: 0.207 s
% 17.94/3.74 % (4569)Instructions burned: 594 (million)
% 17.94/3.74 % (4569)------------------------------
% 17.94/3.74 % (4569)------------------------------
% 17.94/3.74 % (4565)Instruction limit reached!
% 17.94/3.74 % (4565)------------------------------
% 17.94/3.74 % (4565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.74 % (4565)Termination reason: Unknown
% 17.94/3.74 % (4565)Termination phase: Saturation
% 17.94/3.74
% 17.94/3.74 % (4565)Memory used [KB]: 9850
% 17.94/3.74 % (4565)Time elapsed: 0.397 s
% 17.94/3.74 % (4565)Instructions burned: 1377 (million)
% 17.94/3.74 % (4565)------------------------------
% 17.94/3.74 % (4565)------------------------------
% 17.94/3.74 % (4572)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_4343 for (2974ds/327Mi)
% 17.94/3.75 % (4573)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_4343 for (2974ds/5411Mi)
% 17.94/3.75 % (4574)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_4343 for (2974ds/1762Mi)
% 17.94/3.75 % (4573)Refutation not found, incomplete strategy
% 17.94/3.75 % (4573)------------------------------
% 17.94/3.75 % (4573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.75 % (4573)Termination reason: Refutation not found, incomplete strategy
% 17.94/3.75
% 17.94/3.75
% 17.94/3.75 % (4573)Memory used [KB]: 5500
% 17.94/3.75 % (4573)Time elapsed: 0.003 s
% 17.94/3.75 % (4573)Instructions burned: 6 (million)
% 17.94/3.75 % (4573)------------------------------
% 17.94/3.75 % (4573)------------------------------
% 17.94/3.76 % (4575)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_4343 for (2974ds/96Mi)
% 17.94/3.78 % (4566)Instruction limit reached!
% 17.94/3.78 % (4566)------------------------------
% 17.94/3.78 % (4566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.78 % (4566)Termination reason: Unknown
% 17.94/3.78 % (4566)Termination phase: Saturation
% 17.94/3.78
% 17.94/3.78 % (4566)Memory used [KB]: 10106
% 17.94/3.78 % (4566)Time elapsed: 0.426 s
% 17.94/3.78 % (4566)Instructions burned: 906 (million)
% 17.94/3.78 % (4566)------------------------------
% 17.94/3.78 % (4566)------------------------------
% 17.94/3.79 % (4575)Instruction limit reached!
% 17.94/3.79 % (4575)------------------------------
% 17.94/3.79 % (4575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.79 % (4575)Termination reason: Unknown
% 17.94/3.79 % (4575)Termination phase: Saturation
% 17.94/3.79
% 17.94/3.79 % (4575)Memory used [KB]: 5884
% 17.94/3.79 % (4575)Time elapsed: 0.031 s
% 17.94/3.79 % (4575)Instructions burned: 98 (million)
% 17.94/3.79 % (4575)------------------------------
% 17.94/3.79 % (4575)------------------------------
% 17.94/3.79 % (4576)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_4343 for (2973ds/503Mi)
% 19.36/3.80 % (4577)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_4343 for (2973ds/90Mi)
% 19.36/3.83 % (4577)Instruction limit reached!
% 19.36/3.83 % (4577)------------------------------
% 19.36/3.83 % (4577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.36/3.83 % (4577)Termination reason: Unknown
% 19.36/3.83 % (4577)Termination phase: Saturation
% 19.36/3.83
% 19.36/3.83 % (4577)Memory used [KB]: 5884
% 19.36/3.83 % (4577)Time elapsed: 0.030 s
% 19.36/3.83 % (4577)Instructions burned: 90 (million)
% 19.36/3.83 % (4577)------------------------------
% 19.36/3.83 % (4577)------------------------------
% 19.36/3.84 % (4578)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_4343 for (2973ds/593Mi)
% 19.36/3.85 % (4570)Instruction limit reached!
% 19.36/3.85 % (4570)------------------------------
% 19.36/3.85 % (4570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.36/3.85 % (4570)Termination reason: Unknown
% 19.36/3.85 % (4570)Termination phase: Saturation
% 19.36/3.85
% 19.36/3.85 % (4570)Memory used [KB]: 6780
% 19.36/3.85 % (4570)Time elapsed: 0.157 s
% 19.36/3.85 % (4570)Instructions burned: 444 (million)
% 19.36/3.85 % (4570)------------------------------
% 19.36/3.85 % (4570)------------------------------
% 19.36/3.86 % (4579)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_4343 for (2973ds/1512Mi)
% 19.36/3.86 % (4579)Refutation not found, incomplete strategy
% 19.36/3.86 % (4579)------------------------------
% 19.36/3.86 % (4579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.36/3.86 % (4579)Termination reason: Refutation not found, incomplete strategy
% 19.36/3.86
% 19.36/3.86
% 19.36/3.86 % (4579)Memory used [KB]: 5628
% 19.36/3.86 % (4579)Time elapsed: 0.005 s
% 19.36/3.86 % (4579)Instructions burned: 9 (million)
% 19.36/3.86 % (4579)------------------------------
% 19.36/3.86 % (4579)------------------------------
% 19.36/3.87 % (4572)Instruction limit reached!
% 19.36/3.87 % (4572)------------------------------
% 19.36/3.87 % (4572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.36/3.87 % (4572)Termination reason: Unknown
% 19.36/3.87 % (4572)Termination phase: Saturation
% 19.36/3.87
% 19.36/3.87 % (4572)Memory used [KB]: 7675
% 19.36/3.87 % (4572)Time elapsed: 0.129 s
% 19.36/3.87 % (4572)Instructions burned: 327 (million)
% 19.36/3.87 % (4572)------------------------------
% 19.36/3.87 % (4572)------------------------------
% 19.36/3.88 % (4581)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_4343 for (2973ds/501Mi)
% 19.36/3.89 % (4580)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_4343 for (2973ds/569Mi)
% 19.80/3.91 % (4580)Refutation not found, incomplete strategy
% 19.80/3.91 % (4580)------------------------------
% 19.80/3.91 % (4580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.80/3.91 % (4580)Termination reason: Refutation not found, incomplete strategy
% 19.80/3.91
% 19.80/3.91
% 19.80/3.91 % (4580)Memory used [KB]: 6012
% 19.80/3.91 % (4580)Time elapsed: 0.028 s
% 19.80/3.91 % (4580)Instructions burned: 56 (million)
% 19.80/3.91 % (4580)------------------------------
% 19.80/3.91 % (4580)------------------------------
% 19.80/3.92 % (4582)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_4343 for (2972ds/562Mi)
% 19.80/3.93 % (4571)Instruction limit reached!
% 19.80/3.93 % (4571)------------------------------
% 19.80/3.93 % (4571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.80/3.93 % (4571)Termination reason: Unknown
% 19.80/3.93 % (4571)Termination phase: Saturation
% 19.80/3.93
% 19.80/3.93 % (4571)Memory used [KB]: 7036
% 19.80/3.93 % (4571)Time elapsed: 0.226 s
% 19.80/3.93 % (4571)Instructions burned: 594 (million)
% 19.80/3.93 % (4571)------------------------------
% 19.80/3.93 % (4571)------------------------------
% 19.80/3.94 % (4583)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_4343 for (2972ds/406Mi)
% 19.80/3.99 % (4576)Instruction limit reached!
% 19.80/3.99 % (4576)------------------------------
% 19.80/3.99 % (4576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.80/3.99 % (4576)Termination reason: Unknown
% 19.80/3.99 % (4576)Termination phase: Saturation
% 19.80/3.99
% 19.80/3.99 % (4576)Memory used [KB]: 7164
% 19.80/3.99 % (4576)Time elapsed: 0.195 s
% 19.80/3.99 % (4576)Instructions burned: 503 (million)
% 19.80/3.99 % (4576)------------------------------
% 19.80/3.99 % (4576)------------------------------
% 19.80/4.01 % (4584)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_4343 for (2971ds/582Mi)
% 19.80/4.01 % (4578)Instruction limit reached!
% 19.80/4.01 % (4578)------------------------------
% 19.80/4.01 % (4578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.80/4.01 % (4578)Termination reason: Unknown
% 19.80/4.01 % (4578)Termination phase: Saturation
% 19.80/4.01
% 19.80/4.01 % (4578)Memory used [KB]: 7291
% 19.80/4.01 % (4578)Time elapsed: 0.175 s
% 19.80/4.01 % (4578)Instructions burned: 595 (million)
% 19.80/4.01 % (4578)------------------------------
% 19.80/4.01 % (4578)------------------------------
% 19.80/4.02 % (4585)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_4343 for (2971ds/456Mi)
% 21.18/4.05 % (4583)Refutation not found, non-redundant clauses discarded% (4583)------------------------------
% 21.18/4.05 % (4583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.18/4.05 % (4583)Termination reason: Refutation not found, non-redundant clauses discarded
% 21.18/4.05
% 21.18/4.05 % (4583)Memory used [KB]: 6652
% 21.18/4.05 % (4583)Time elapsed: 0.117 s
% 21.18/4.05 % (4583)Instructions burned: 366 (million)
% 21.18/4.05 % (4583)------------------------------
% 21.18/4.05 % (4583)------------------------------
% 21.18/4.06 % (4586)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_4343 for (2971ds/393Mi)
% 21.18/4.10 % (4581)Instruction limit reached!
% 21.18/4.10 % (4581)------------------------------
% 21.18/4.10 % (4581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.18/4.10 % (4581)Termination reason: Unknown
% 21.18/4.10 % (4581)Termination phase: Saturation
% 21.18/4.10
% 21.18/4.10 % (4581)Memory used [KB]: 6908
% 21.18/4.10 % (4581)Time elapsed: 0.219 s
% 21.18/4.10 % (4581)Instructions burned: 503 (million)
% 21.18/4.10 % (4581)------------------------------
% 21.18/4.10 % (4581)------------------------------
% 21.18/4.11 % (4582)Instruction limit reached!
% 21.18/4.11 % (4582)------------------------------
% 21.18/4.11 % (4582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.18/4.11 % (4582)Termination reason: Unknown
% 21.18/4.11 % (4582)Termination phase: Saturation
% 21.18/4.11
% 21.18/4.11 % (4582)Memory used [KB]: 7291
% 21.18/4.11 % (4582)Time elapsed: 0.189 s
% 21.18/4.11 % (4582)Instructions burned: 562 (million)
% 21.18/4.11 % (4582)------------------------------
% 21.18/4.11 % (4582)------------------------------
% 21.18/4.11 % (4587)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_4343 for (2970ds/1335Mi)
% 21.74/4.13 % (4584)Refutation not found, incomplete strategy
% 21.74/4.13 % (4584)------------------------------
% 21.74/4.13 % (4584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.74/4.13 % (4584)Termination reason: Refutation not found, incomplete strategy
% 21.74/4.13
% 21.74/4.13
% 21.74/4.13 % (4584)Memory used [KB]: 5884
% 21.74/4.13 % (4584)Time elapsed: 0.120 s
% 21.74/4.13 % (4584)Instructions burned: 244 (million)
% 21.74/4.13 % (4584)------------------------------
% 21.74/4.13 % (4584)------------------------------
% 21.74/4.13 % (4588)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_4343 for (2970ds/3373Mi)
% 21.74/4.14 % (4589)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_4343 for (2970ds/474Mi)
% 21.74/4.16 % (4585)Instruction limit reached!
% 21.74/4.16 % (4585)------------------------------
% 21.74/4.16 % (4585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.74/4.16 % (4585)Termination reason: Unknown
% 21.74/4.16 % (4585)Termination phase: Saturation
% 21.74/4.16
% 21.74/4.16 % (4585)Memory used [KB]: 6780
% 21.74/4.16 % (4585)Time elapsed: 0.139 s
% 21.74/4.16 % (4585)Instructions burned: 458 (million)
% 21.74/4.16 % (4585)------------------------------
% 21.74/4.16 % (4585)------------------------------
% 21.74/4.17 % (4590)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_4343 for (2970ds/157Mi)
% 21.74/4.19 % (4586)Instruction limit reached!
% 21.74/4.19 % (4586)------------------------------
% 21.74/4.19 % (4586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.74/4.19 % (4586)Termination reason: Unknown
% 21.74/4.19 % (4586)Termination phase: Saturation
% 21.74/4.19
% 21.74/4.19 % (4586)Memory used [KB]: 6652
% 21.74/4.19 % (4586)Time elapsed: 0.123 s
% 21.74/4.19 % (4586)Instructions burned: 393 (million)
% 21.74/4.19 % (4586)------------------------------
% 21.74/4.19 % (4586)------------------------------
% 21.74/4.19 % (4590)Refutation not found, incomplete strategy
% 21.74/4.19 % (4590)------------------------------
% 21.74/4.19 % (4590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.74/4.19 % (4590)Termination reason: Refutation not found, incomplete strategy
% 21.74/4.19
% 21.74/4.19
% 21.74/4.19 % (4590)Memory used [KB]: 6012
% 21.74/4.19 % (4590)Time elapsed: 0.022 s
% 21.74/4.19 % (4590)Instructions burned: 72 (million)
% 21.74/4.19 % (4590)------------------------------
% 21.74/4.19 % (4590)------------------------------
% 21.74/4.20 % (4591)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_4343 for (2969ds/590Mi)
% 22.18/4.20 % (4592)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_4343 for (2969ds/104Mi)
% 22.18/4.23 % (4592)Instruction limit reached!
% 22.18/4.23 % (4592)------------------------------
% 22.18/4.23 % (4592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.18/4.23 % (4592)Termination reason: Unknown
% 22.18/4.23 % (4592)Termination phase: Saturation
% 22.18/4.23
% 22.18/4.23 % (4592)Memory used [KB]: 5884
% 22.18/4.23 % (4592)Time elapsed: 0.032 s
% 22.18/4.23 % (4592)Instructions burned: 105 (million)
% 22.18/4.23 % (4592)------------------------------
% 22.18/4.23 % (4592)------------------------------
% 22.18/4.24 % (4593)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_4343 for (2969ds/414Mi)
% 22.18/4.25 % (4593)Refutation not found, incomplete strategy
% 22.18/4.25 % (4593)------------------------------
% 22.18/4.25 % (4593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.18/4.25 % (4593)Termination reason: Refutation not found, incomplete strategy
% 22.18/4.25
% 22.18/4.25
% 22.18/4.25 % (4593)Memory used [KB]: 5628
% 22.18/4.25 % (4593)Time elapsed: 0.011 s
% 22.18/4.25 % (4593)Instructions burned: 32 (million)
% 22.18/4.25 % (4593)------------------------------
% 22.18/4.25 % (4593)------------------------------
% 22.18/4.26 % (4594)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_4343 for (2969ds/715Mi)
% 22.18/4.27 % (4574)Instruction limit reached!
% 22.18/4.27 % (4574)------------------------------
% 22.18/4.27 % (4574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.18/4.27 % (4574)Termination reason: Unknown
% 22.18/4.27 % (4574)Termination phase: Saturation
% 22.18/4.27
% 22.18/4.27 % (4574)Memory used [KB]: 8955
% 22.18/4.27 % (4574)Time elapsed: 0.516 s
% 22.18/4.27 % (4574)Instructions burned: 1764 (million)
% 22.18/4.27 % (4574)------------------------------
% 22.18/4.27 % (4574)------------------------------
% 22.18/4.28 % (4595)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_4343 for (2969ds/961Mi)
% 22.43/4.31 % (4589)Instruction limit reached!
% 22.43/4.31 % (4589)------------------------------
% 22.43/4.31 % (4589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.43/4.31 % (4589)Termination reason: Unknown
% 22.43/4.31 % (4589)Termination phase: Saturation
% 22.43/4.31
% 22.43/4.31 % (4589)Memory used [KB]: 6652
% 22.43/4.31 % (4589)Time elapsed: 0.170 s
% 22.43/4.31 % (4589)Instructions burned: 474 (million)
% 22.43/4.31 % (4589)------------------------------
% 22.43/4.31 % (4589)------------------------------
% 22.43/4.32 % (4596)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_4343 for (2968ds/1213Mi)
% 22.43/4.40 % (4591)Instruction limit reached!
% 22.43/4.40 % (4591)------------------------------
% 22.43/4.40 % (4591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.43/4.40 % (4591)Termination reason: Unknown
% 22.43/4.40 % (4591)Termination phase: Saturation
% 22.43/4.40
% 22.43/4.40 % (4591)Memory used [KB]: 6908
% 22.43/4.40 % (4591)Time elapsed: 0.201 s
% 22.43/4.40 % (4591)Instructions burned: 590 (million)
% 22.43/4.40 % (4591)------------------------------
% 22.43/4.40 % (4591)------------------------------
% 22.72/4.41 % (4597)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_4343 for (2967ds/1979Mi)
% 22.72/4.47 % (4594)Instruction limit reached!
% 22.72/4.47 % (4594)------------------------------
% 22.72/4.47 % (4594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.72/4.47 % (4594)Termination reason: Unknown
% 22.72/4.47 % (4594)Termination phase: Saturation
% 22.72/4.47
% 22.72/4.47 % (4594)Memory used [KB]: 2942
% 22.72/4.47 % (4594)Time elapsed: 0.211 s
% 22.72/4.47 % (4594)Instructions burned: 715 (million)
% 22.72/4.47 % (4594)------------------------------
% 22.72/4.47 % (4594)------------------------------
% 22.72/4.48 % (4598)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_4343 for (2967ds/481Mi)
% 23.24/4.55 % (4587)Instruction limit reached!
% 23.24/4.55 % (4587)------------------------------
% 23.24/4.55 % (4587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.24/4.55 % (4587)Termination reason: Unknown
% 23.24/4.55 % (4587)Termination phase: Saturation
% 23.24/4.55
% 23.24/4.55 % (4587)Memory used [KB]: 8059
% 23.24/4.55 % (4587)Time elapsed: 0.443 s
% 23.24/4.55 % (4587)Instructions burned: 1335 (million)
% 23.24/4.55 % (4587)------------------------------
% 23.24/4.55 % (4587)------------------------------
% 23.24/4.56 % (4599)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_4343 for (2966ds/783Mi)
% 23.24/4.57 % (4595)Instruction limit reached!
% 23.24/4.57 % (4595)------------------------------
% 23.24/4.57 % (4595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.24/4.57 % (4595)Termination reason: Unknown
% 23.24/4.57 % (4595)Termination phase: Saturation
% 23.24/4.57
% 23.24/4.57 % (4595)Memory used [KB]: 7419
% 23.24/4.57 % (4595)Time elapsed: 0.291 s
% 23.24/4.57 % (4595)Instructions burned: 963 (million)
% 23.24/4.57 % (4595)------------------------------
% 23.24/4.57 % (4595)------------------------------
% 23.24/4.57 % (4600)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_4343 for (2966ds/432Mi)
% 23.24/4.58 % (4598)First to succeed.
% 23.24/4.59 % (4598)Refutation found. Thanks to Tanya!
% 23.24/4.59 % SZS status Theorem for DTF2THF_4343
% 23.24/4.59 % SZS output start Proof for DTF2THF_4343
% 23.24/4.59 thf(type_def_5, type, a: $tType).
% 23.24/4.59 thf(func_def_0, type, a: $tType).
% 23.24/4.59 thf(func_def_18, type, ph1: !>[X0: $tType]:(X0)).
% 23.24/4.59 thf(func_def_19, type, sK2: (a > $o) > $o).
% 23.24/4.59 thf(func_def_20, type, sK3: a > $o).
% 23.24/4.59 thf(func_def_21, type, sK4: a).
% 23.24/4.59 thf(func_def_22, type, sK5: (a > $o) > a > $o).
% 23.24/4.59 thf(func_def_23, type, sK6: (a > $o) > (a > $o) > a).
% 23.24/4.59 thf(func_def_24, type, sK7: a).
% 23.24/4.59 thf(func_def_25, type, sK8: a > a > $o).
% 23.24/4.59 thf(func_def_26, type, sK9: a > a > $o).
% 23.24/4.59 thf(func_def_27, type, sK10: (a > $o) > a).
% 23.24/4.59 thf(func_def_28, type, sK11: (a > $o) > a).
% 23.24/4.59 thf(func_def_29, type, sK12: (a > $o) > a).
% 23.24/4.59 thf(func_def_30, type, sK13: (a > $o) > a).
% 23.24/4.59 thf(func_def_31, type, sK14: (a > $o) > a > $o).
% 23.24/4.59 thf(func_def_32, type, sK15: (a > $o) > a > $o).
% 23.24/4.59 thf(func_def_33, type, sK16: (a > $o) > a > $o).
% 23.24/4.59 thf(f1248,plain,(
% 23.24/4.59 $false),
% 23.24/4.59 inference(avatar_sat_refutation,[status(thm)],[f118,f123,f137,f142,f150,f411,f1215,f1234])).
% 23.24/4.59 thf(f1234,plain,(
% 23.24/4.59 ~spl0_4 | spl0_6),
% 23.24/4.59 inference(avatar_contradiction_clause,[status(thm)],[f1233])).
% 23.24/4.59 thf(f1233,plain,(
% 23.24/4.59 $false | (~spl0_4 | spl0_6)),
% 23.24/4.59 inference(subsumption_resolution,[status(thm)],[f338,f327])).
% 23.24/4.59 thf(f327,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($true = (X0 @ (sK13 @ X0))) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f326])).
% 23.24/4.59 thf(f326,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((sK3 @ (sK13 @ X0)) = $true) | (($true => (X0 @ (sK13 @ X0))) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(duplicate_literal_removal,[status(thm)],[f323])).
% 23.24/4.59 thf(f323,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((sK3 @ (sK13 @ X0)) = $true) | (($true => (X0 @ (sK13 @ X0))) = $true) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(superposition,[status(thm)],[f301,f306])).
% 23.24/4.59 thf(f306,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($true = (sK14 @ X0 @ (sK13 @ X0))) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f304])).
% 23.24/4.59 thf(f304,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((sK3 @ (sK13 @ X0)) = $true) | (((sK14 @ X0 @ (sK13 @ X0)) & $true) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(backward_subsumption_demodulation,[status(thm)],[f300,f302])).
% 23.24/4.59 thf(f302,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((sK2 @ (sK14 @ X0)) = $true) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f300])).
% 23.24/4.59 thf(f300,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($true = ((sK14 @ X0 @ (sK13 @ X0)) & (sK2 @ (sK14 @ X0)))) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f298])).
% 23.24/4.59 thf(f298,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((((sK14 @ X0 @ (sK13 @ X0)) & (sK2 @ (sK14 @ X0))) & $true) = $true) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(backward_subsumption_demodulation,[status(thm)],[f291,f294])).
% 23.24/4.59 thf(f294,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((!! @ a @ (^[Y0 : a]: ((sK14 @ X0 @ Y0) => (X0 @ Y0)))) = $true) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f291])).
% 23.24/4.59 thf(f291,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((((sK14 @ X0 @ (sK13 @ X0)) & (sK2 @ (sK14 @ X0))) & (!! @ a @ (^[Y0 : a]: ((sK14 @ X0 @ Y0) => (X0 @ Y0))))) = $true) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f289])).
% 23.24/4.59 thf(f289,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((sK3 @ (sK13 @ X0)) = $true) | (((^[Y0 : a > $o]: (((Y0 @ (sK13 @ X0)) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))))) @ (sK14 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(sigma_clausification,[status(thm)],[f287])).
% 23.24/4.59 thf(f287,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ (sK13 @ X0)) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))))))) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f286])).
% 23.24/4.59 thf(f286,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((sK3 @ (sK13 @ X0)) != (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ (sK13 @ X0)) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1))))))))) ) | ~spl0_4),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f285])).
% 23.24/4.59 thf(f285,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : ((((^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2)))))))) @ (sK13 @ X0)) != (sK3 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(negative_extensionality,[status(thm)],[f284])).
% 23.24/4.59 thf(f284,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : ((sK3 != (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2)))))))))) ) | ~spl0_4),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f283])).
% 23.24/4.59 thf(f283,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : ((sK3 != (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2))))))))) | ($false = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f282])).
% 23.24/4.59 thf(f282,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : ((sK3 != (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2))))))))) | ($false = (~ $false))) ) | ~spl0_4),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f281])).
% 23.24/4.59 thf(f281,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($false = (~ ((!! @ a @ (^[Y0 : a]: ((sK5 @ X0 @ Y0) => (X0 @ Y0)))) & $false))) | (sK3 != (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2)))))))))) ) | ~spl0_4),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f278])).
% 23.24/4.59 thf(f278,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($false = (((!! @ a @ (^[Y0 : a]: ((sK5 @ X0 @ Y0) => (X0 @ Y0)))) & $false) => $false)) | (sK3 != (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2)))))))))) ) | ~spl0_4),
% 23.24/4.59 inference(backward_subsumption_demodulation,[status(thm)],[f264,f274])).
% 23.24/4.59 thf(f274,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : ((sK3 != (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2))))))))) | ($false = (sK2 @ (sK5 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f264])).
% 23.24/4.59 thf(f264,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : ((sK3 != (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2))))))))) | ($false = (((!! @ a @ (^[Y0 : a]: ((sK5 @ X0 @ Y0) => (X0 @ Y0)))) & (sK2 @ (sK5 @ X0))) => (sK2 @ (sK5 @ X0))))) ) | ~spl0_4),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f262])).
% 23.24/4.59 thf(f262,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($false = ((^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))) & (sK2 @ Y0)) => (sK2 @ Y0))) @ (sK5 @ X0))) | (sK3 != (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2)))))))))) ) | ~spl0_4),
% 23.24/4.59 inference(sigma_clausification,[status(thm)],[f243])).
% 23.24/4.59 thf(f243,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : ((sK3 != (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2))))))))) | ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))) & (sK2 @ Y0)) => (sK2 @ Y0)))))) ) | ~spl0_4),
% 23.24/4.59 inference(equality_proxy_clausification,[status(thm)],[f229])).
% 23.24/4.59 thf(f229,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($false = (sK3 = (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2)))))))))) | ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))) & (sK2 @ Y0)) => (sK2 @ Y0)))))) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f222])).
% 23.24/4.59 thf(f222,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($false = ((sK3 = (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))) & (sK2 @ Y0)) => (sK2 @ Y0))))))) ) | ~spl0_4),
% 23.24/4.59 inference(not_proxy_clausification,[status(thm)],[f151])).
% 23.24/4.59 thf(f151,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((~ ((sK3 = (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))) & (sK2 @ Y0)) => (sK2 @ Y0)))))) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f148])).
% 23.24/4.59 thf(f148,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (((((sK3 = (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X0 @ Y2))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))) & (sK2 @ Y0)) => (sK2 @ Y0))))) => $false) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(superposition,[status(thm)],[f47,f38])).
% 23.24/4.59 thf(f38,plain,(
% 23.24/4.59 ($false = (sK2 @ sK3)) | ~spl0_4),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f36])).
% 23.24/4.59 thf(f36,definition,(
% 23.24/4.59 spl0_4 <=> ($false = (sK2 @ sK3))),
% 23.24/4.59 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 23.24/4.59 thf(f47,plain,(
% 23.24/4.59 ( ! [X2 : a > $o,X1 : a > $o] : (((((X2 = (^[Y0 : a]: (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X1 @ Y2))))))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: (((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X1 @ Y1)))) & (sK2 @ Y0)) => (sK2 @ Y0))))) => (sK2 @ X2)) = $true)) )),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f46])).
% 23.24/4.59 thf(f46,plain,(
% 23.24/4.59 ( ! [X2 : a > $o,X1 : a > $o] : (($true = ((^[Y0 : a > $o]: (((Y0 = (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (X1 @ Y3))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X1 @ Y2)))) & (sK2 @ Y1)) => (sK2 @ Y1))))) => (sK2 @ Y0))) @ X2))) )),
% 23.24/4.59 inference(pi_clausification,[status(thm)],[f43])).
% 23.24/4.59 thf(f43,plain,(
% 23.24/4.59 ( ! [X1 : a > $o] : (((!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 = (^[Y1 : a]: (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y1) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (X1 @ Y3))))))))) & (!! @ (a > $o) @ (^[Y1 : a > $o]: (((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (X1 @ Y2)))) & (sK2 @ Y1)) => (sK2 @ Y1))))) => (sK2 @ Y0)))) = $true)) )),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f41])).
% 23.24/4.59 thf(f41,plain,(
% 23.24/4.59 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 = (^[Y2 : a]: (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y2) & (sK2 @ Y3)) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y0 @ Y4))))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))) & (sK2 @ Y2)) => (sK2 @ Y2))))) => (sK2 @ Y1))))) @ X1) = $true)) )),
% 23.24/4.59 inference(pi_clausification,[status(thm)],[f19])).
% 23.24/4.59 thf(f19,plain,(
% 23.24/4.59 ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 = (^[Y2 : a]: (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y2) & (sK2 @ Y3)) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y0 @ Y4))))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))) & (sK2 @ Y2)) => (sK2 @ Y2))))) => (sK2 @ Y1)))))) = $true)),
% 23.24/4.59 inference(not_proxy_clausification,[status(thm)],[f16])).
% 23.24/4.59 thf(f16,plain,(
% 23.24/4.59 ($false = (~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 = (^[Y2 : a]: (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y2) & (sK2 @ Y3)) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y0 @ Y4))))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))) & (sK2 @ Y2)) => (sK2 @ Y2))))) => (sK2 @ Y1))))))))),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f14])).
% 23.24/4.59 thf(f14,plain,(
% 23.24/4.59 ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 = (^[Y2 : a]: (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y2) & (sK2 @ Y3)) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y0 @ Y4))))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))) & (sK2 @ Y2)) => (sK2 @ Y2))))) => (sK2 @ Y1)))))) => $false))),
% 23.24/4.59 inference(backward_demodulation,[status(thm)],[f10,f12])).
% 23.24/4.59 thf(f12,plain,(
% 23.24/4.59 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((sK2 @ Y0) = (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))) & (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (sK2 @ Y3)) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4)))))))))))))))))),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f10])).
% 23.24/4.59 thf(f10,plain,(
% 23.24/4.59 ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 = (^[Y2 : a]: (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y2) & (sK2 @ Y3)) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y0 @ Y4))))))))) & (!! @ (a > $o) @ (^[Y2 : a > $o]: (((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))) & (sK2 @ Y2)) => (sK2 @ Y2))))) => (sK2 @ Y1)))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: ((sK2 @ Y0) = (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))) & (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (sK2 @ Y3)) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4))))))))))))))))))),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f9])).
% 23.24/4.59 thf(f9,plain,(
% 23.24/4.59 ($false = ((^[Y0 : (a > $o) > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 = (^[Y3 : a]: (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y3) & (Y0 @ Y4)) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y1 @ Y5))))))))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))) & (Y0 @ Y3)) => (Y0 @ Y3))))) => (Y0 @ Y2)))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) = (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (?? @ (a > $o) @ (^[Y3 : a > $o]: ((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))) & (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (Y0 @ Y4)) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y3 @ Y5)))))))))))))))))) @ sK2))),
% 23.24/4.59 inference(sigma_clausification,[status(thm)],[f7])).
% 23.24/4.59 thf(f7,plain,(
% 23.24/4.59 ($false = (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 = (^[Y3 : a]: (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y3) & (Y0 @ Y4)) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y1 @ Y5))))))))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))) & (Y0 @ Y3)) => (Y0 @ Y3))))) => (Y0 @ Y2)))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) = (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (?? @ (a > $o) @ (^[Y3 : a > $o]: ((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))) & (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (Y0 @ Y4)) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y3 @ Y5))))))))))))))))))))),
% 23.24/4.59 inference(not_proxy_clausification,[status(thm)],[f6])).
% 23.24/4.59 thf(f6,plain,(
% 23.24/4.59 ((~ (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 = (^[Y3 : a]: (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y3) & (Y0 @ Y4)) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y1 @ Y5))))))))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))) & (Y0 @ Y3)) => (Y0 @ Y3))))) => (Y0 @ Y2)))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) = (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (?? @ (a > $o) @ (^[Y3 : a > $o]: ((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))) & (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (Y0 @ Y4)) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y3 @ Y5)))))))))))))))))))) = $true)),
% 23.24/4.59 inference(cnf_transformation,[status(thm)],[f5])).
% 23.24/4.59 thf(f5,plain,(
% 23.24/4.59 ((~ (!! @ ((a > $o) > $o) @ (^[Y0 : (a > $o) > $o]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 = (^[Y3 : a]: (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y3) & (Y0 @ Y4)) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y1 @ Y5))))))))) & (!! @ (a > $o) @ (^[Y3 : a > $o]: (((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))) & (Y0 @ Y3)) => (Y0 @ Y3))))) => (Y0 @ Y2)))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: ((Y0 @ Y1) = (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (?? @ (a > $o) @ (^[Y3 : a > $o]: ((!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y1 @ Y4)))) & (?? @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (Y0 @ Y4)) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y3 @ Y5)))))))))))))))))))) = $true)),
% 23.24/4.59 inference(fool_elimination,[status(thm)],[f4])).
% 23.24/4.59 thf(f4,plain,(
% 23.24/4.59 ~! [X0 : (a > $o) > $o] : (! [X1 : a > $o,X2 : a > $o] : ((! [X3 : a > $o] : (((X0 @ X3) & ! [X4 : a] : ((X3 @ X4) => (X2 @ X4))) => (X0 @ X3)) & (X1 = (^[X5 : a] : (? [X6 : a > $o] : (! [X7 : a] : ((X6 @ X7) => (X2 @ X7)) & (X0 @ X6) & (X6 @ X5)))))) => (X0 @ X1)) => ! [X8 : a > $o] : ((X0 @ X8) <=> ! [X9 : a] : ((X8 @ X9) => ? [X10 : a > $o] : (? [X11 : a > $o] : (! [X12 : a] : ((X11 @ X12) => (X10 @ X12)) & (X0 @ X11) & (X11 @ X9)) & ! [X13 : a] : ((X10 @ X13) => (X8 @ X13))))))),
% 23.24/4.59 inference(rectify,[status(thm)],[f2])).
% 23.24/4.59 thf(f2,negated_conjecture,(
% 23.24/4.59 ~! [X0 : (a > $o) > $o] : (! [X2 : a > $o,X1 : a > $o] : ((! [X3 : a > $o] : (((X0 @ X3) & ! [X4 : a] : ((X3 @ X4) => (X1 @ X4))) => (X0 @ X3)) & (X2 = (^[X3 : a] : (? [X5 : a > $o] : (! [X4 : a] : ((X5 @ X4) => (X1 @ X4)) & (X0 @ X5) & (X5 @ X3)))))) => (X0 @ X2)) => ! [X1 : a > $o] : ((X0 @ X1) <=> ! [X3 : a] : ((X1 @ X3) => ? [X2 : a > $o] : (? [X6 : a > $o] : (! [X4 : a] : ((X6 @ X4) => (X2 @ X4)) & (X0 @ X6) & (X6 @ X3)) & ! [X4 : a] : ((X2 @ X4) => (X1 @ X4))))))),
% 23.24/4.59 inference(negated_conjecture,[status(cth)],[f1])).
% 23.24/4.59 thf(f1,conjecture,(
% 23.24/4.59 ! [X0 : (a > $o) > $o] : (! [X2 : a > $o,X1 : a > $o] : ((! [X3 : a > $o] : (((X0 @ X3) & ! [X4 : a] : ((X3 @ X4) => (X1 @ X4))) => (X0 @ X3)) & (X2 = (^[X3 : a] : (? [X5 : a > $o] : (! [X4 : a] : ((X5 @ X4) => (X1 @ X4)) & (X0 @ X5) & (X5 @ X3)))))) => (X0 @ X2)) => ! [X1 : a > $o] : ((X0 @ X1) <=> ! [X3 : a] : ((X1 @ X3) => ? [X2 : a > $o] : (? [X6 : a > $o] : (! [X4 : a] : ((X6 @ X4) => (X2 @ X4)) & (X0 @ X6) & (X6 @ X3)) & ! [X4 : a] : ((X2 @ X4) => (X1 @ X4))))))),
% 23.24/4.59 file('/export/starexec/sandbox/tmp/tmp.721lQHpMFf/DTF2THF_4343.p',cNBHD_THM1_pme)).
% 23.24/4.59 thf(f301,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a] : (($true = ((sK14 @ X0 @ X1) => (X0 @ X1))) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f299])).
% 23.24/4.59 thf(f299,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a] : ((((^[Y0 : a]: ((sK14 @ X0 @ Y0) => (X0 @ Y0))) @ X1) = $true) | ((sK3 @ (sK13 @ X0)) = $true)) ) | ~spl0_4),
% 23.24/4.59 inference(pi_clausification,[status(thm)],[f294])).
% 23.24/4.59 thf(f338,plain,(
% 23.24/4.59 ((sK3 @ (sK13 @ sK3)) != $true) | spl0_6),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f337])).
% 23.24/4.59 thf(f337,definition,(
% 23.24/4.59 spl0_6 <=> ((sK3 @ (sK13 @ sK3)) = $true)),
% 23.24/4.59 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 23.24/4.59 thf(f1215,plain,(
% 23.24/4.59 ~spl0_1 | ~spl0_4 | spl0_7),
% 23.24/4.59 inference(avatar_contradiction_clause,[status(thm)],[f1214])).
% 23.24/4.59 thf(f1214,plain,(
% 23.24/4.59 $false | (~spl0_1 | ~spl0_4 | spl0_7)),
% 23.24/4.59 inference(subsumption_resolution,[status(thm)],[f1204,f378])).
% 23.24/4.59 thf(f378,plain,(
% 23.24/4.59 ($false != (sK3 @ (sK13 @ sK3))) | spl0_7),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f377])).
% 23.24/4.59 thf(f377,definition,(
% 23.24/4.59 spl0_7 <=> ($false = (sK3 @ (sK13 @ sK3)))),
% 23.24/4.59 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 23.24/4.59 thf(f1204,plain,(
% 23.24/4.59 ($false = (sK3 @ (sK13 @ sK3))) | (~spl0_1 | ~spl0_4 | spl0_7)),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f1198])).
% 23.24/4.59 thf(f1198,plain,(
% 23.24/4.59 ($false = $true) | ($false = (sK3 @ (sK13 @ sK3))) | (~spl0_1 | ~spl0_4 | spl0_7)),
% 23.24/4.59 inference(superposition,[status(thm)],[f184,f1180])).
% 23.24/4.59 thf(f1180,plain,(
% 23.24/4.59 ($false = (sK2 @ (sK9 @ (sK13 @ sK3)))) | (~spl0_1 | ~spl0_4 | spl0_7)),
% 23.24/4.59 inference(subsumption_resolution,[status(thm)],[f1177,f378])).
% 23.24/4.59 thf(f1177,plain,(
% 23.24/4.59 ($false = (sK2 @ (sK9 @ (sK13 @ sK3)))) | ($false = (sK3 @ (sK13 @ sK3))) | (~spl0_1 | ~spl0_4 | spl0_7)),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f1176])).
% 23.24/4.59 thf(f1176,plain,(
% 23.24/4.59 ($false = $true) | ($false = (sK2 @ (sK9 @ (sK13 @ sK3)))) | ($false = (sK3 @ (sK13 @ sK3))) | (~spl0_1 | ~spl0_4 | spl0_7)),
% 23.24/4.59 inference(duplicate_literal_removal,[status(thm)],[f1164])).
% 23.24/4.59 thf(f1164,plain,(
% 23.24/4.59 ($false = (sK3 @ (sK13 @ sK3))) | ($false = $true) | ($false = (sK3 @ (sK13 @ sK3))) | ($false = (sK2 @ (sK9 @ (sK13 @ sK3)))) | (~spl0_1 | ~spl0_4 | spl0_7)),
% 23.24/4.59 inference(superposition,[status(thm)],[f181,f1160])).
% 23.24/4.59 thf(f1160,plain,(
% 23.24/4.59 ( ! [X0 : a] : (($false = (sK9 @ X0 @ (sK13 @ sK3))) | ($false = (sK3 @ X0)) | ($false = (sK2 @ (sK9 @ X0)))) ) | (~spl0_1 | ~spl0_4 | spl0_7)),
% 23.24/4.59 inference(subsumption_resolution,[status(thm)],[f1157,f378])).
% 23.24/4.59 thf(f1157,plain,(
% 23.24/4.59 ( ! [X0 : a] : (($false = (sK3 @ (sK13 @ sK3))) | ($false = (sK9 @ X0 @ (sK13 @ sK3))) | ($false = (sK3 @ X0)) | ($false = (sK2 @ (sK9 @ X0)))) ) | (~spl0_1 | ~spl0_4)),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f1156])).
% 23.24/4.59 thf(f1156,plain,(
% 23.24/4.59 ( ! [X0 : a] : (($false = (sK3 @ (sK13 @ sK3))) | ($false = (sK3 @ X0)) | ($false = $true) | ($false = (sK9 @ X0 @ (sK13 @ sK3))) | ($false = (sK2 @ (sK9 @ X0)))) ) | (~spl0_1 | ~spl0_4)),
% 23.24/4.59 inference(duplicate_literal_removal,[status(thm)],[f1146])).
% 23.24/4.59 thf(f1146,plain,(
% 23.24/4.59 ( ! [X0 : a] : (($false = (sK9 @ X0 @ (sK13 @ sK3))) | ($false = (sK9 @ X0 @ (sK13 @ sK3))) | ($false = (sK3 @ X0)) | ($false = (sK3 @ (sK13 @ sK3))) | ($false = $true) | ($false = (sK3 @ (sK13 @ sK3))) | ($false = (sK2 @ (sK9 @ X0))) | ($false = (sK2 @ (sK9 @ X0)))) ) | (~spl0_1 | ~spl0_4)),
% 23.24/4.59 inference(superposition,[status(thm)],[f808,f689])).
% 23.24/4.59 thf(f689,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = (X0 @ (sK6 @ X0 @ X1))) | ($false = (sK2 @ X1)) | ($false = (X1 @ (sK13 @ X0))) | ($false = (sK3 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f414])).
% 23.24/4.59 thf(f414,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = ((X1 @ (sK13 @ X0)) & (sK2 @ X1))) | ($false = (sK3 @ (sK13 @ X0))) | ($false = (X0 @ (sK6 @ X0 @ X1)))) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f402])).
% 23.24/4.59 thf(f402,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = ((X1 @ (sK6 @ X0 @ X1)) => (X0 @ (sK6 @ X0 @ X1)))) | ($false = ((X1 @ (sK13 @ X0)) & (sK2 @ X1))) | ($false = (sK3 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f392])).
% 23.24/4.59 thf(f392,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = (sK3 @ (sK13 @ X0))) | ($false = ((^[Y0 : a]: ((X1 @ Y0) => (X0 @ Y0))) @ (sK6 @ X0 @ X1))) | ($false = ((X1 @ (sK13 @ X0)) & (sK2 @ X1)))) ) | ~spl0_4),
% 23.24/4.59 inference(sigma_clausification,[status(thm)],[f341])).
% 23.24/4.59 thf(f341,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X0 @ Y0))))) | ($false = ((X1 @ (sK13 @ X0)) & (sK2 @ X1))) | ($false = (sK3 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f312])).
% 23.24/4.59 thf(f312,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = (((X1 @ (sK13 @ X0)) & (sK2 @ X1)) & (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (X0 @ Y0)))))) | ($false = (sK3 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f308])).
% 23.24/4.59 thf(f308,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = ((^[Y0 : a > $o]: (((Y0 @ (sK13 @ X0)) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))))) @ X1)) | ($false = (sK3 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(pi_clausification,[status(thm)],[f288])).
% 23.24/4.59 thf(f288,plain,(
% 23.24/4.59 ( ! [X0 : a > $o] : (($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ (sK13 @ X0)) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X0 @ Y1)))))))) | ($false = (sK3 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f286])).
% 23.24/4.59 thf(f808,plain,(
% 23.24/4.59 ( ! [X0 : a,X1 : a > $o] : (((sK3 @ (sK6 @ X1 @ (sK9 @ X0))) = $true) | ($false = (sK2 @ (sK9 @ X0))) | ($false = (sK3 @ (sK13 @ X1))) | ($false = (sK3 @ X0)) | ($false = (sK9 @ X0 @ (sK13 @ X1)))) ) | (~spl0_1 | ~spl0_4)),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f807])).
% 23.24/4.59 thf(f807,plain,(
% 23.24/4.59 ( ! [X0 : a,X1 : a > $o] : (($false = (sK3 @ (sK13 @ X1))) | ($false = $true) | ($false = (sK9 @ X0 @ (sK13 @ X1))) | ($false = (sK3 @ X0)) | ((sK3 @ (sK6 @ X1 @ (sK9 @ X0))) = $true) | ($false = (sK2 @ (sK9 @ X0)))) ) | (~spl0_1 | ~spl0_4)),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f802])).
% 23.24/4.59 thf(f802,plain,(
% 23.24/4.59 ( ! [X0 : a,X1 : a > $o] : (($false = (sK3 @ X0)) | ($false = (sK9 @ X0 @ (sK13 @ X1))) | ($false = (sK2 @ (sK9 @ X0))) | ((sK3 @ (sK6 @ X1 @ (sK9 @ X0))) = $true) | ($false = (~ $false)) | ($false = (sK3 @ (sK13 @ X1)))) ) | (~spl0_1 | ~spl0_4)),
% 23.24/4.59 inference(superposition,[status(thm)],[f739,f235])).
% 23.24/4.59 thf(f235,plain,(
% 23.24/4.59 ( ! [X0 : a,X1 : a] : (($false = (sK9 @ X0 @ X1)) | ($false = (sK3 @ X0)) | ((sK3 @ X1) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(not_proxy_clausification,[status(thm)],[f193])).
% 23.24/4.59 thf(f193,plain,(
% 23.24/4.59 ( ! [X0 : a,X1 : a] : (($true = (~ (sK9 @ X0 @ X1))) | ((sK3 @ X1) = $true) | ($false = (sK3 @ X0))) ) | ~spl0_1),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f192])).
% 23.24/4.59 thf(f192,plain,(
% 23.24/4.59 ( ! [X0 : a,X1 : a] : (($false = (sK3 @ X0)) | (((sK9 @ X0 @ X1) => $false) = $true) | ((sK3 @ X1) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(duplicate_literal_removal,[status(thm)],[f190])).
% 23.24/4.59 thf(f190,plain,(
% 23.24/4.59 ( ! [X0 : a,X1 : a] : (($false = (sK3 @ X0)) | ($false = (sK3 @ X0)) | ((sK3 @ X1) = $true) | (((sK9 @ X0 @ X1) => $false) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(superposition,[status(thm)],[f186,f173])).
% 23.24/4.59 thf(f173,plain,(
% 23.24/4.59 ( ! [X2 : a,X1 : a] : (($false = (sK8 @ X1 @ X2)) | ((sK3 @ X2) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f170])).
% 23.24/4.59 thf(f170,plain,(
% 23.24/4.59 ( ! [X2 : a,X1 : a] : ((((sK8 @ X1 @ X2) => (sK3 @ X2)) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f168])).
% 23.24/4.59 thf(f168,plain,(
% 23.24/4.59 ( ! [X2 : a,X1 : a] : (($false = (sK3 @ X1)) | (((^[Y0 : a]: ((sK8 @ X1 @ Y0) => (sK3 @ Y0))) @ X2) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(pi_clausification,[status(thm)],[f163])).
% 23.24/4.59 thf(f163,plain,(
% 23.24/4.59 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: ((sK8 @ X1 @ Y0) => (sK3 @ Y0)))) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f161])).
% 23.24/4.59 thf(f161,plain,(
% 23.24/4.59 ( ! [X1 : a] : ((((!! @ a @ (^[Y0 : a]: ((sK8 @ X1 @ Y0) => (sK3 @ Y0)))) & (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK8 @ X1 @ Y1)))))))) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f158])).
% 23.24/4.59 thf(f158,plain,(
% 23.24/4.59 ( ! [X1 : a] : ((((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1)))) & (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2))))))))) @ (sK8 @ X1)) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(sigma_clausification,[status(thm)],[f157])).
% 23.24/4.59 thf(f157,plain,(
% 23.24/4.59 ( ! [X1 : a] : (((?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1)))) & (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))))))))) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f156])).
% 23.24/4.59 thf(f156,plain,(
% 23.24/4.59 ( ! [X1 : a] : ((((sK3 @ X1) => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1)))) & (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2))))))))))) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f155])).
% 23.24/4.59 thf(f155,plain,(
% 23.24/4.59 ( ! [X1 : a] : ((((^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))))))))))) @ X1) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(pi_clausification,[status(thm)],[f25])).
% 23.24/4.59 thf(f25,plain,(
% 23.24/4.59 ((!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3))))))))))))) = $true) | ~spl0_1),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f23])).
% 23.24/4.59 thf(f23,definition,(
% 23.24/4.59 spl0_1 <=> ((!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3))))))))))))) = $true)),
% 23.24/4.59 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 23.24/4.59 thf(f186,plain,(
% 23.24/4.59 ( ! [X2 : a,X1 : a] : (($true = ((sK9 @ X1 @ X2) => (sK8 @ X1 @ X2))) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f185])).
% 23.24/4.59 thf(f185,plain,(
% 23.24/4.59 ( ! [X2 : a,X1 : a] : (($false = (sK3 @ X1)) | (((^[Y0 : a]: ((sK9 @ X1 @ Y0) => (sK8 @ X1 @ Y0))) @ X2) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(pi_clausification,[status(thm)],[f182])).
% 23.24/4.59 thf(f182,plain,(
% 23.24/4.59 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: ((sK9 @ X1 @ Y0) => (sK8 @ X1 @ Y0)))) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f179])).
% 23.24/4.59 thf(f179,plain,(
% 23.24/4.59 ( ! [X1 : a] : (($false = (sK3 @ X1)) | (($true & (!! @ a @ (^[Y0 : a]: ((sK9 @ X1 @ Y0) => (sK8 @ X1 @ Y0))))) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(backward_subsumption_demodulation,[status(thm)],[f172,f175])).
% 23.24/4.59 thf(f175,plain,(
% 23.24/4.59 ( ! [X1 : a] : ((((sK9 @ X1 @ X1) & (sK2 @ (sK9 @ X1))) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f172])).
% 23.24/4.59 thf(f172,plain,(
% 23.24/4.59 ( ! [X1 : a] : (($true = (((sK9 @ X1 @ X1) & (sK2 @ (sK9 @ X1))) & (!! @ a @ (^[Y0 : a]: ((sK9 @ X1 @ Y0) => (sK8 @ X1 @ Y0)))))) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f171])).
% 23.24/4.59 thf(f171,plain,(
% 23.24/4.59 ( ! [X1 : a] : (($false = (sK3 @ X1)) | (((^[Y0 : a > $o]: (((Y0 @ X1) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK8 @ X1 @ Y1)))))) @ (sK9 @ X1)) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(sigma_clausification,[status(thm)],[f169])).
% 23.24/4.59 thf(f169,plain,(
% 23.24/4.59 ( ! [X1 : a] : (($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK8 @ X1 @ Y1)))))))) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f167])).
% 23.24/4.59 thf(f167,plain,(
% 23.24/4.59 ( ! [X1 : a] : (($false = (sK3 @ X1)) | (($true & (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK8 @ X1 @ Y1)))))))) = $true)) ) | ~spl0_1),
% 23.24/4.59 inference(backward_subsumption_demodulation,[status(thm)],[f161,f163])).
% 23.24/4.59 thf(f739,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = (~ (X1 @ (sK6 @ X0 @ X1)))) | ($false = (sK3 @ (sK13 @ X0))) | ($false = (sK2 @ X1)) | ($false = (X1 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f716])).
% 23.24/4.59 thf(f716,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = ((X1 @ (sK13 @ X0)) & (sK2 @ X1))) | ($false = (~ (X1 @ (sK6 @ X0 @ X1)))) | ($false = (sK3 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f688])).
% 23.24/4.59 thf(f688,plain,(
% 23.24/4.59 ( ! [X0 : a > $o,X1 : a > $o] : (($false = ((X1 @ (sK13 @ X0)) & (sK2 @ X1))) | ($false = ((X1 @ (sK6 @ X0 @ X1)) => $false)) | ($false = (sK3 @ (sK13 @ X0)))) ) | ~spl0_4),
% 23.24/4.59 inference(backward_subsumption_demodulation,[status(thm)],[f402,f414])).
% 23.24/4.59 thf(f181,plain,(
% 23.24/4.59 ( ! [X1 : a] : (((sK9 @ X1 @ X1) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f175])).
% 23.24/4.59 thf(f184,plain,(
% 23.24/4.59 ( ! [X1 : a] : (((sK2 @ (sK9 @ X1)) = $true) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f183])).
% 23.24/4.59 thf(f183,plain,(
% 23.24/4.59 ( ! [X1 : a] : (($true = ($true & (sK2 @ (sK9 @ X1)))) | ($false = (sK3 @ X1))) ) | ~spl0_1),
% 23.24/4.59 inference(backward_subsumption_demodulation,[status(thm)],[f175,f181])).
% 23.24/4.59 thf(f411,plain,(
% 23.24/4.59 ~spl0_6 | ~spl0_7),
% 23.24/4.59 inference(avatar_contradiction_clause,[status(thm)],[f410])).
% 23.24/4.59 thf(f410,plain,(
% 23.24/4.59 $false | (~spl0_6 | ~spl0_7)),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f409])).
% 23.24/4.59 thf(f409,plain,(
% 23.24/4.59 ($false = $true) | (~spl0_6 | ~spl0_7)),
% 23.24/4.59 inference(forward_demodulation,[status(thm)],[f339,f379])).
% 23.24/4.59 thf(f379,plain,(
% 23.24/4.59 ($false = (sK3 @ (sK13 @ sK3))) | ~spl0_7),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f377])).
% 23.24/4.59 thf(f339,plain,(
% 23.24/4.59 ((sK3 @ (sK13 @ sK3)) = $true) | ~spl0_6),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f337])).
% 23.24/4.59 thf(f150,plain,(
% 23.24/4.59 ~spl0_2 | ~spl0_4),
% 23.24/4.59 inference(avatar_contradiction_clause,[status(thm)],[f149])).
% 23.24/4.59 thf(f149,plain,(
% 23.24/4.59 $false | (~spl0_2 | ~spl0_4)),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f147])).
% 23.24/4.59 thf(f147,plain,(
% 23.24/4.59 ($false = $true) | (~spl0_2 | ~spl0_4)),
% 23.24/4.59 inference(backward_demodulation,[status(thm)],[f29,f38])).
% 23.24/4.59 thf(f29,plain,(
% 23.24/4.59 ((sK2 @ sK3) = $true) | ~spl0_2),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f27])).
% 23.24/4.59 thf(f27,definition,(
% 23.24/4.59 spl0_2 <=> ((sK2 @ sK3) = $true)),
% 23.24/4.59 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 23.24/4.59 thf(f142,plain,(
% 23.24/4.59 spl0_3 | spl0_4),
% 23.24/4.59 inference(avatar_split_clause,[status(thm)],[f120,f36,f32])).
% 23.24/4.59 thf(f32,definition,(
% 23.24/4.59 spl0_3 <=> ((!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3))))))))))))) = $false)),
% 23.24/4.59 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 23.24/4.59 thf(f120,plain,(
% 23.24/4.59 ($false = (sK2 @ sK3)) | ((!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3))))))))))))) = $false)),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f18])).
% 23.24/4.59 thf(f18,plain,(
% 23.24/4.59 ((!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3))))))))))))) != (sK2 @ sK3))),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f17])).
% 23.24/4.59 thf(f17,plain,(
% 23.24/4.59 ($false = ((sK2 @ sK3) = (!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))))))))))))))),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f15])).
% 23.24/4.59 thf(f15,plain,(
% 23.24/4.59 ($false = ((^[Y0 : a > $o]: ((sK2 @ Y0) = (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y0 @ Y3)))) & (?? @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (sK2 @ Y3)) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y2 @ Y4))))))))))))))) @ sK3))),
% 23.24/4.59 inference(sigma_clausification,[status(thm)],[f12])).
% 23.24/4.59 thf(f137,plain,(
% 23.24/4.59 ~spl0_1 | ~spl0_3),
% 23.24/4.59 inference(avatar_contradiction_clause,[status(thm)],[f136])).
% 23.24/4.59 thf(f136,plain,(
% 23.24/4.59 $false | (~spl0_1 | ~spl0_3)),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f134])).
% 23.24/4.59 thf(f134,plain,(
% 23.24/4.59 ($false = $true) | (~spl0_1 | ~spl0_3)),
% 23.24/4.59 inference(backward_demodulation,[status(thm)],[f25,f34])).
% 23.24/4.59 thf(f34,plain,(
% 23.24/4.59 ((!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3))))))))))))) = $false) | ~spl0_3),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f32])).
% 23.24/4.59 thf(f123,plain,(
% 23.24/4.59 spl0_1 | spl0_2),
% 23.24/4.59 inference(avatar_split_clause,[status(thm)],[f119,f27,f23])).
% 23.24/4.59 thf(f119,plain,(
% 23.24/4.59 ((sK2 @ sK3) = $true) | ((!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3))))))))))))) = $true)),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f18])).
% 23.24/4.59 thf(f118,plain,(
% 23.24/4.59 spl0_1 | spl0_4),
% 23.24/4.59 inference(avatar_contradiction_clause,[status(thm)],[f117])).
% 23.24/4.59 thf(f117,plain,(
% 23.24/4.59 $false | (spl0_1 | spl0_4)),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f116])).
% 23.24/4.59 thf(f116,plain,(
% 23.24/4.59 ($false = $true) | (spl0_1 | spl0_4)),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f115])).
% 23.24/4.59 thf(f115,plain,(
% 23.24/4.59 ($false = ((^[Y0 : a]: ($true)) @ sK7)) | (spl0_1 | spl0_4)),
% 23.24/4.59 inference(sigma_clausification,[status(thm)],[f114])).
% 23.24/4.59 thf(f114,plain,(
% 23.24/4.59 ($false = (!! @ a @ (^[Y0 : a]: ($true)))) | (spl0_1 | spl0_4)),
% 23.24/4.59 inference(subsumption_resolution,[status(thm)],[f113,f37])).
% 23.24/4.59 thf(f37,plain,(
% 23.24/4.59 ($false != (sK2 @ sK3)) | spl0_4),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f36])).
% 23.24/4.59 thf(f113,plain,(
% 23.24/4.59 ($false = (sK2 @ sK3)) | ($false = (!! @ a @ (^[Y0 : a]: ($true)))) | spl0_1),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f112])).
% 23.24/4.59 thf(f112,plain,(
% 23.24/4.59 ($false = (!! @ a @ (^[Y0 : a]: ($true)))) | ($false = ($true & (sK2 @ sK3))) | spl0_1),
% 23.24/4.59 inference(forward_demodulation,[status(thm)],[f108,f58])).
% 23.24/4.59 thf(f58,plain,(
% 23.24/4.59 ((sK3 @ sK4) = $true) | spl0_1),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f53])).
% 23.24/4.59 thf(f53,plain,(
% 23.24/4.59 ($false = ((sK3 @ sK4) => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1)))) & (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK4) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))))))))))) | spl0_1),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f52])).
% 23.24/4.59 thf(f52,plain,(
% 23.24/4.59 ($false = ((^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3)))))))))))) @ sK4)) | spl0_1),
% 23.24/4.59 inference(sigma_clausification,[status(thm)],[f24])).
% 23.24/4.59 thf(f24,plain,(
% 23.24/4.59 ((!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (sK3 @ Y2)))) & (?? @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (sK2 @ Y2)) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y1 @ Y3))))))))))))) != $true) | spl0_1),
% 23.24/4.59 inference(avatar_component_clause,[status(thm)],[f23])).
% 23.24/4.59 thf(f108,plain,(
% 23.24/4.59 ($false = (!! @ a @ (^[Y0 : a]: ($true)))) | ($false = ((sK3 @ sK4) & (sK2 @ sK3))) | spl0_1),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f107])).
% 23.24/4.59 thf(f107,plain,(
% 23.24/4.59 ($false = ((sK3 @ sK4) & (sK2 @ sK3))) | ($false = (!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (sK3 @ Y0))))) | spl0_1),
% 23.24/4.59 inference(trivial_inequality_removal,[status(thm)],[f105])).
% 23.24/4.59 thf(f105,plain,(
% 23.24/4.59 ($false = ((sK3 @ sK4) & (sK2 @ sK3))) | ($false != $false) | ($false = (!! @ a @ (^[Y0 : a]: ((sK3 @ Y0) => (sK3 @ Y0))))) | spl0_1),
% 23.24/4.59 inference(equality_factoring,[status(thm)],[f90])).
% 23.24/4.59 thf(f90,plain,(
% 23.24/4.59 ( ! [X2 : a > $o,X1 : a > $o] : (($false = (!! @ a @ (^[Y0 : a]: ((X2 @ Y0) => (X1 @ Y0))))) | ($false = ((X2 @ sK4) & (sK2 @ X2))) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0)))))) ) | spl0_1),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f88])).
% 23.24/4.59 thf(f88,plain,(
% 23.24/4.59 ( ! [X2 : a > $o,X1 : a > $o] : (((((X2 @ sK4) & (sK2 @ X2)) & (!! @ a @ (^[Y0 : a]: ((X2 @ Y0) => (X1 @ Y0))))) = $false) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0)))))) ) | spl0_1),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f86])).
% 23.24/4.59 thf(f86,plain,(
% 23.24/4.59 ( ! [X2 : a > $o,X1 : a > $o] : (($false = ((^[Y0 : a > $o]: (((Y0 @ sK4) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X1 @ Y1)))))) @ X2)) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0)))))) ) | spl0_1),
% 23.24/4.59 inference(pi_clausification,[status(thm)],[f85])).
% 23.24/4.59 thf(f85,plain,(
% 23.24/4.59 ( ! [X1 : a > $o] : (($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK4) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X1 @ Y1)))))))) | ($false = (!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0)))))) ) | spl0_1),
% 23.24/4.59 inference(binary_proxy_clausification,[status(thm)],[f72])).
% 23.24/4.59 thf(f72,plain,(
% 23.24/4.59 ( ! [X1 : a > $o] : ((((!! @ a @ (^[Y0 : a]: ((X1 @ Y0) => (sK3 @ Y0)))) & (?? @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK4) & (sK2 @ Y0)) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (X1 @ Y1)))))))) = $false)) ) | spl0_1),
% 23.24/4.59 inference(beta_eta_normalization,[status(thm)],[f71])).
% 23.24/4.59 thf(f71,plain,(
% 23.24/4.59 ( ! [X1 : a > $o] : (($false = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1)))) & (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK4) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2))))))))) @ X1))) ) | spl0_1),
% 23.24/4.59 inference(pi_clausification,[status(thm)],[f67])).
% 23.24/4.59 thf(f67,plain,(
% 23.24/4.59 ($false = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1)))) & (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK4) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2))))))))))) | spl0_1),
% 23.24/4.59 inference(boolean_simplification,[status(thm)],[f66])).
% 23.24/4.59 thf(f66,plain,(
% 23.24/4.59 ($false = ($true => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (sK3 @ Y1)))) & (?? @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK4) & (sK2 @ Y1)) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y0 @ Y2)))))))))))) | spl0_1),
% 23.24/4.59 inference(backward_demodulation,[status(thm)],[f53,f58])).
% 23.24/4.59 % SZS output end Proof for DTF2THF_4343
% 23.24/4.59 % (4598)------------------------------
% 23.24/4.59 % (4598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.24/4.59 % (4598)Termination reason: Refutation
% 23.24/4.59
% 23.24/4.59 % (4598)Memory used [KB]: 6396
% 23.24/4.59 % (4598)Time elapsed: 0.104 s
% 23.24/4.59 % (4598)Instructions burned: 313 (million)
% 23.24/4.59 % (4598)------------------------------
% 23.24/4.59 % (4598)------------------------------
% 23.24/4.59 % (4439)Success in time 3.396 s
%------------------------------------------------------------------------------