%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PHI005^4 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.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 09:27:40 AM UTC 2026
% Result : Theorem 191.50s 28.66s
% Output : Refutation 191.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 11
% Syntax : Number of formulae : 193 ( 123 unt; 0 typ; 1 def)
% Number of atoms : 1232 ( 205 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 3336 ( 138 ~; 59 |; 45 &;2341 @)
% ( 1 <=>; 335 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 978 ( 978 >; 0 *; 0 +; 0 <<)
% Number of symbols : 54 ( 49 usr; 25 con; 0-3 aty)
% ( 387 !!; 30 ??; 0 @@+; 0 @@-)
% Number of variables : 883 ( 701 ^; 177 !; 5 ?; 883 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
qML_mu: $tType ).
thf(type_def_6,type,
qML_i: $tType ).
thf(func_def_0,type,
qML_mu: $tType ).
thf(func_def_1,type,
qML_i: $tType ).
thf(func_def_2,type,
scott_G: qML_mu > qML_i > $o ).
thf(func_def_3,type,
scott_NE_QML_mu: qML_mu > qML_i > $o ).
thf(func_def_4,type,
scott_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
thf(func_def_5,type,
scott_ess_QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_22,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
sK2: qML_i ).
thf(func_def_24,type,
sK3: qML_mu > qML_mu > qML_i > $o ).
thf(func_def_25,type,
sK4: qML_mu > qML_mu > qML_i ).
thf(func_def_26,type,
sK5: qML_mu > qML_mu > qML_mu ).
thf(func_def_27,type,
sK6: qML_mu > qML_i ).
thf(func_def_28,type,
sK7: qML_mu > qML_mu ).
thf(func_def_29,type,
sK8: qML_mu > qML_i ).
thf(func_def_30,type,
sK9: qML_mu > qML_mu ).
thf(func_def_31,type,
sK10: qML_i ).
thf(func_def_32,type,
sK11: qML_mu ).
thf(func_def_33,type,
sK12: qML_mu > qML_i ).
thf(func_def_34,type,
sK13: qML_mu > qML_mu ).
thf(func_def_35,type,
sK14: qML_mu > qML_i ).
thf(func_def_36,type,
sK15: qML_mu > qML_mu ).
thf(func_def_37,type,
sK16: qML_i ).
thf(func_def_38,type,
sK17: qML_mu ).
thf(func_def_39,type,
sK18: qML_i ).
thf(func_def_40,type,
sK19: qML_mu ).
thf(func_def_41,type,
sK20: qML_i ).
thf(func_def_42,type,
sK21: qML_mu ).
thf(func_def_43,type,
sK22: qML_mu > qML_i ).
thf(func_def_44,type,
sK23: qML_mu > qML_mu ).
thf(func_def_45,type,
sK24: qML_i ).
thf(func_def_46,type,
sK25: qML_mu ).
thf(func_def_47,type,
sK26: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_48,type,
sK27: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_49,type,
sK28: qML_mu > qML_mu ).
thf(func_def_50,type,
sK29: qML_mu ).
thf(func_def_51,type,
sK30: qML_mu ).
thf(func_def_52,type,
sK31: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_53,type,
sK32: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_54,type,
sK33: qML_mu ).
thf(func_def_55,type,
sK34: qML_mu ).
thf(func_def_56,type,
sK35: qML_mu > qML_i > $o ).
thf(func_def_57,type,
sK36: qML_i ).
thf(func_def_58,type,
sK37: qML_mu ).
thf(func_def_59,type,
sK38: qML_mu ).
thf(func_def_60,type,
sK39: qML_mu > qML_i ).
thf(func_def_61,type,
sK40: qML_mu > qML_mu ).
thf(func_def_62,type,
sK41: qML_mu > qML_i ).
thf(func_def_63,type,
sK42: qML_mu > qML_mu ).
thf(func_def_64,type,
sK43: qML_i ).
thf(func_def_65,type,
sK44: qML_mu ).
thf(f22867,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f19613,f22866]) ).
thf(f22866,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[status(thm)],[f22865]) ).
thf(f22865,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f22864]) ).
thf(f22864,plain,
( ( $false = $true )
| ~ spl0_2 ),
inference(boolean_simplification,[status(thm)],[f22863]) ).
thf(f22863,plain,
( ( ( ~ $true ) = $true )
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f21202,f19620]) ).
thf(f19620,plain,
( ( ( sK35
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f19617]) ).
thf(f19617,plain,
( ( $false
= ( ( sK35
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) )
=> ( sK35 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f19616]) ).
thf(f19616,plain,
( ( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK35 )
= $false )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f19614]) ).
thf(f19614,plain,
( ( $false
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(not_proxy_clausification,[status(thm)],[f19608]) ).
thf(f19608,plain,
( ( ( ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f19607]) ).
thf(f19607,definition,
( spl0_2
<=> ( ( ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f21202,plain,
( ( ( ~ ( sK35
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[status(thm)],[f21201]) ).
thf(f21201,plain,
( ( ( $true
=> ~ ( sK35
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f20991]) ).
thf(f20991,plain,
( ( ( $true
=> ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK35 @ Y0 @ Y1 )
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f19205,f20201]) ).
thf(f20201,plain,
( ! [X0: qML_i] :
( ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK35 @ Y0 @ Y1 )
@ X0 )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[status(thm)],[f20200]) ).
thf(f20200,plain,
( ! [X0: qML_i] :
( ( $true
=> ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK35 @ Y0 @ Y1 )
@ X0 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[status(thm)],[f20075]) ).
thf(f20075,plain,
( ! [X0: qML_i] :
( ( ~ $false
=> ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK35 @ Y0 @ Y1 )
@ X0 ) )
= $true )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f143,f19769]) ).
thf(f19769,plain,
( ! [X0: qML_i] :
( $false
= ( scott_P @ sK35 @ X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f19768]) ).
thf(f19768,plain,
( ! [X0: qML_i] :
( ( $false
= ( scott_P @ sK35 @ X0 ) )
| ( $false = $true ) )
| ~ spl0_2 ),
inference(boolean_simplification,[status(thm)],[f19736]) ).
thf(f19736,plain,
( ! [X0: qML_i] :
( ( $false
= ( scott_P @ sK35 @ X0 ) )
| ( ( ~ $true ) = $true ) )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f19722,f238]) ).
thf(f238,plain,
! [X2: qML_mu > qML_i > $o,X3: qML_i,X1: qML_i] :
( ( ( scott_P @ X2 @ X3 )
= $true )
| ( ( scott_P @ X2 @ X1 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f55]) ).
thf(f55,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( scott_P @ X2 @ X1 )
= $false )
| ( ( !! @ qML_i @ ( scott_P @ X2 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( $true
= ( ( scott_P @ X2 @ X1 )
=> ( !! @ qML_i @ ( scott_P @ X2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ X1 )
=> ( !! @ qML_i @ ( scott_P @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f52]) ).
thf(f52,plain,
! [X1: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ X1 )
=> ( !! @ qML_i @ ( scott_P @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f51]) ).
thf(f51,plain,
! [X1: qML_i] :
( ( ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ Y0 )
=> ( !! @ qML_i @ ( scott_P @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ Y0 )
=> ( !! @ qML_i @ ( scott_P @ Y1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f42]) ).
thf(f42,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ Y0 )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] : ( scott_P @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f30]) ).
thf(f30,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ Y0 )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] : ( scott_P @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f29]) ).
thf(f29,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( scott_P @ X0 @ X1 )
=> ! [X2: qML_i] : ( scott_P @ X0 @ X2 ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
! [X5: qML_mu > qML_i > $o,X4: qML_i] :
( ( scott_P @ X5 @ X4 )
=> ! [X3: qML_i] : ( scott_P @ X5 @ X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_2_A4) ).
thf(f19722,plain,
( ( ( ~ ( scott_P @ sK35 @ sK36 ) )
= $true )
| ~ spl0_2 ),
inference(boolean_simplification,[status(thm)],[f19636]) ).
thf(f19636,plain,
( ( ( ( scott_P @ sK35 @ sK36 )
=> $false )
= $true )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f19634,f19629]) ).
thf(f19629,plain,
( ( $false
= ( sK35 @ sK37 @ sK36 ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f19628]) ).
thf(f19628,plain,
( ( $false
= ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK36 )
=> ( Y0 @ sK37 @ sK36 ) ) )
=> ( sK35 @ sK37 @ sK36 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f19627]) ).
thf(f19627,plain,
( ( $false
= ( ^ [Y0: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK36 )
=> ( Y1 @ Y0 @ sK36 ) ) )
=> ( sK35 @ Y0 @ sK36 ) )
@ sK37 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f19626]) ).
thf(f19626,plain,
( ( $false
= ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK36 )
=> ( Y1 @ Y0 @ sK36 ) ) )
=> ( sK35 @ Y0 @ sK36 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f19622]) ).
thf(f19622,plain,
( ( $false
= ( ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) )
=> ( sK35 @ Y1 @ Y0 ) ) )
@ sK36 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f19619]) ).
thf(f19619,plain,
( ( $false
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) )
=> ( sK35 @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f19617]) ).
thf(f19634,plain,
( ! [X1: qML_mu > qML_i > $o] :
( ( ( scott_P @ X1 @ sK36 )
=> ( X1 @ sK37 @ sK36 ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f19633]) ).
thf(f19633,plain,
( ! [X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK36 )
=> ( Y0 @ sK37 @ sK36 ) )
@ X1 )
= $true )
| ~ spl0_2 ),
inference(pi_clausification,[status(thm)],[f19630]) ).
thf(f19630,plain,
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK36 )
=> ( Y0 @ sK37 @ sK36 ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f19628]) ).
thf(f143,plain,
! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( $true
= ( ~ ( scott_P @ X1 @ X2 )
=> ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X1 @ Y0 @ Y1 )
@ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f142]) ).
thf(f142,plain,
! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_i] :
( ~ ( scott_P @ X1 @ Y0 )
=> ( scott_P
@ ^ [Y1: qML_mu,Y2: qML_i] :
~ ( X1 @ Y1 @ Y2 )
@ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f141]) ).
thf(f141,plain,
! [X1: qML_mu > qML_i > $o] :
( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ~ ( scott_P @ X1 @ Y0 )
=> ( scott_P
@ ^ [Y1: qML_mu,Y2: qML_i] :
~ ( X1 @ Y1 @ Y2 )
@ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f140]) ).
thf(f140,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ~ ( scott_P @ Y0 @ Y1 )
=> ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] :
~ ( Y0 @ Y2 @ Y3 )
@ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ~ ( scott_P @ Y0 @ Y1 )
=> ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] :
~ ( Y0 @ Y2 @ Y3 )
@ Y1 ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f32]) ).
thf(f32,plain,
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ~ ( scott_P @ Y0 @ Y1 )
=> ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] :
~ ( Y0 @ Y2 @ Y3 )
@ Y1 ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f31]) ).
thf(f31,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ~ ( scott_P @ X1 @ X0 )
=> ( scott_P
@ ^ [X2: qML_mu,X3: qML_i] :
~ ( X1 @ X2 @ X3 )
@ X0 ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
! [X4: qML_i,X5: qML_mu > qML_i > $o] :
( ~ ( scott_P @ X5 @ X4 )
=> ( scott_P
@ ^ [X2: qML_mu,X6: qML_i] :
~ ( X5 @ X2 @ X6 )
@ X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_3_A1b) ).
thf(f19205,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ( scott_P @ X1
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
=> ( X1
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f19204]) ).
thf(f19204,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f19202]) ).
thf(f19202,plain,
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(not_proxy_clausification,[status(thm)],[f19127]) ).
thf(f19127,plain,
( $false
= ( ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f19126]) ).
thf(f19126,plain,
( $false
= ( ~ ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f18932]) ).
thf(f18932,plain,
( ( $false = $true )
| ( $false
= ( ~ ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(superposition,[status(thm)],[f18770,f78]) ).
thf(f78,plain,
! [X1: qML_i] :
( ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f49]) ).
thf(f49,plain,
( ( !! @ qML_i
@ ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f44]) ).
thf(f44,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( scott_P
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) )
@ Y0 ) )
= $true ),
inference(definition_unfolding,[status(thm)],[f35,f41]) ).
thf(f41,plain,
( scott_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f18,plain,
( scott_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f17]) ).
thf(f17,plain,
( scott_G
= ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( scott_P @ X2 @ X1 )
=> ( X2 @ X0 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
( scott_G
= ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( scott_P @ X2 @ X1 )
=> ( X2 @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_0_G__def) ).
thf(f35,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] : ( scott_P @ scott_G @ Y0 ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] : ( scott_P @ scott_G @ Y0 ) )
= $true ),
inference(fool_elimination,[status(thm)],[f13]) ).
thf(f13,plain,
! [X0: qML_i] : ( scott_P @ scott_G @ X0 ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X3: qML_i] : ( scott_P @ scott_G @ X3 ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_1_A3) ).
thf(f18770,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( scott_P @ X1 @ X0 ) )
| ( $false
= ( ~ ( X1 @ ( sK32 @ X1 ) @ ( sK31 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f18544]) ).
thf(f18544,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( ^ [Y0: qML_mu] :
~ ( X1 @ Y0 @ ( sK31 @ X1 ) )
@ ( sK32 @ X1 ) ) )
| ( $false
= ( scott_P @ X1 @ X0 ) ) ),
inference(sigma_clausification,[status(thm)],[f18418]) ).
thf(f18418,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( scott_P @ X1 @ X0 ) )
| ( ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
~ ( X1 @ Y0 @ ( sK31 @ X1 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f18286]) ).
thf(f18286,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
~ ( X1 @ Y1 @ Y0 ) )
@ ( sK31 @ X1 ) ) )
| ( $false
= ( scott_P @ X1 @ X0 ) ) ),
inference(sigma_clausification,[status(thm)],[f4568]) ).
thf(f4568,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
~ ( X1 @ Y1 @ Y0 ) ) )
= $false )
| ( $false
= ( scott_P @ X1 @ X0 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f4466]) ).
thf(f4466,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( $false
= ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
~ ( X1 @ Y1 @ Y0 ) ) )
& ( scott_P @ X1 @ X0 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f4171]) ).
thf(f4171,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ~ ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
~ ( X1 @ Y1 @ Y0 ) ) )
& ( scott_P @ X1 @ X0 ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f4170]) ).
thf(f4170,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ~ ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> $false ) ) )
& ( scott_P @ X1 @ X0 ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f4169]) ).
thf(f4169,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> $false ) ) )
& ( scott_P @ X1 @ X0 ) )
=> $false )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f4073]) ).
thf(f4073,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( ^ [Y2: qML_mu,Y3: qML_i] : $false
@ Y1
@ Y0 ) ) ) )
& ( scott_P @ X1 @ X0 ) )
=> $false )
= $true ),
inference(superposition,[status(thm)],[f183,f4025]) ).
thf(f4025,plain,
! [X2: qML_i] :
( $false
= ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X2 ) ),
inference(trivial_inequality_removal,[status(thm)],[f4024]) ).
thf(f4024,plain,
! [X2: qML_i] :
( ( $false = $true )
| ( $false
= ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f3915]) ).
thf(f3915,plain,
! [X2: qML_i,X1: qML_mu] :
( ( $false
= ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X2 ) )
| ( ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ ( sK9 @ X1 )
@ ( sK8 @ X1 ) )
= $true ) ),
inference(primitive_instantiation,[status(thm)],[f534]) ).
thf(f534,plain,
! [X2: qML_i,X0: qML_mu > qML_i > $o,X1: qML_mu] :
( ( $false
= ( scott_P @ X0 @ X2 ) )
| ( ( X0 @ ( sK9 @ X1 ) @ ( sK8 @ X1 ) )
= $true ) ),
inference(boolean_simplification,[status(thm)],[f510]) ).
thf(f510,plain,
! [X2: qML_i,X0: qML_mu > qML_i > $o,X1: qML_mu] :
( ( $false
= ( scott_P @ X0 @ X2 ) )
| ( ( $true
=> ( X0 @ ( sK9 @ X1 ) @ ( sK8 @ X1 ) ) )
= $true ) ),
inference(superposition,[status(thm)],[f470,f238]) ).
thf(f470,plain,
! [X0: qML_mu,X1: qML_mu > qML_i > $o] :
( ( ( scott_P @ X1 @ ( sK8 @ X0 ) )
=> ( X1 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f469]) ).
thf(f469,plain,
! [X0: qML_mu,X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ ( sK8 @ X0 ) )
=> ( Y0 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f467]) ).
thf(f467,plain,
! [X0: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ ( sK8 @ X0 ) )
=> ( Y0 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) ) ) )
= $true ),
inference(not_proxy_clausification,[status(thm)],[f466]) ).
thf(f466,plain,
! [X0: qML_mu] :
( $false
= ( ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ ( sK8 @ X0 ) )
=> ( Y0 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f465]) ).
thf(f465,plain,
! [X0: qML_mu] :
( $false
= ( $true
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ ( sK8 @ X0 ) )
=> ( Y0 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) ) ) ) ) ),
inference(backward_demodulation,[status(thm)],[f462,f464]) ).
thf(f464,plain,
! [X0: qML_mu] :
( $true
= ( sK3 @ X0 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f462]) ).
thf(f462,plain,
! [X0: qML_mu] :
( $false
= ( ( sK3 @ X0 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ ( sK8 @ X0 ) )
=> ( Y0 @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f461]) ).
thf(f461,plain,
! [X0: qML_mu] :
( $false
= ( ^ [Y0: qML_mu] :
( ( sK3 @ X0 @ Y0 @ ( sK8 @ X0 ) )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ ( sK8 @ X0 ) )
=> ( Y1 @ Y0 @ ( sK8 @ X0 ) ) ) ) )
@ ( sK9 @ X0 ) ) ),
inference(sigma_clausification,[status(thm)],[f459]) ).
thf(f459,plain,
! [X0: qML_mu] :
( ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( ( sK3 @ X0 @ Y0 @ ( sK8 @ X0 ) )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ ( sK8 @ X0 ) )
=> ( Y1 @ Y0 @ ( sK8 @ X0 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f458]) ).
thf(f458,plain,
! [X0: qML_mu] :
( $false
= ( ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( sK3 @ X0 @ Y1 @ Y0 )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) )
@ ( sK8 @ X0 ) ) ),
inference(sigma_clausification,[status(thm)],[f456]) ).
thf(f456,plain,
! [X0: qML_mu] :
( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( sK3 @ X0 @ Y1 @ Y0 )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f235]) ).
thf(f235,plain,
! [X0: qML_mu] :
( ( ~ ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( sK3 @ X0 @ Y1 @ Y0 )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f234]) ).
thf(f234,plain,
! [X0: qML_mu] :
( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( sK3 @ X0 @ Y1 @ Y0 )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
=> $false )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f223]) ).
thf(f223,plain,
! [X0: qML_mu] :
( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( sK3 @ X0 @ Y1 @ Y0 )
=> ( ^ [Y2: qML_mu,Y3: qML_i] :
~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) )
@ Y1
@ Y0 ) ) ) )
=> $false )
= $true ),
inference(superposition,[status(thm)],[f219,f128]) ).
thf(f128,plain,
! [X0: qML_i] :
( $false
= ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X0 ) ),
inference(not_proxy_clausification,[status(thm)],[f95]) ).
thf(f95,plain,
! [X0: qML_i] :
( ( ~ ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X0 ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f94]) ).
thf(f94,plain,
! [X0: qML_i] :
( ( ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X0 )
=> $false )
= $true ),
inference(boolean_simplification,[status(thm)],[f93]) ).
thf(f93,plain,
! [X0: qML_i] :
( $true
= ( ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X0 )
=> ~ $true ) ),
inference(beta_eta_normalization,[status(thm)],[f89]) ).
thf(f89,plain,
! [X0: qML_i] :
( ( ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) )
@ Y0
@ Y1 )
@ X0 )
=> ~ $true )
= $true ),
inference(superposition,[status(thm)],[f86,f78]) ).
thf(f86,plain,
! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X1 @ Y0 @ Y1 )
@ X2 )
=> ~ ( scott_P @ X1 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f85]) ).
thf(f85,plain,
! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_i] :
( ( scott_P
@ ^ [Y1: qML_mu,Y2: qML_i] :
~ ( X1 @ Y1 @ Y2 )
@ Y0 )
=> ~ ( scott_P @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f84]) ).
thf(f84,plain,
! [X1: qML_mu > qML_i > $o] :
( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( scott_P
@ ^ [Y1: qML_mu,Y2: qML_i] :
~ ( X1 @ Y1 @ Y2 )
@ Y0 )
=> ~ ( scott_P @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f83]) ).
thf(f83,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] :
~ ( Y0 @ Y2 @ Y3 )
@ Y1 )
=> ~ ( scott_P @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] :
~ ( Y0 @ Y2 @ Y3 )
@ Y1 )
=> ~ ( scott_P @ Y0 @ Y1 ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f26]) ).
thf(f26,plain,
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] :
~ ( Y0 @ Y2 @ Y3 )
@ Y1 )
=> ~ ( scott_P @ Y0 @ Y1 ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f25]) ).
thf(f25,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( scott_P
@ ^ [X2: qML_mu,X3: qML_i] :
~ ( X1 @ X2 @ X3 )
@ X0 )
=> ~ ( scott_P @ X1 @ X0 ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,axiom,
! [X4: qML_i,X5: qML_mu > qML_i > $o] :
( ( scott_P
@ ^ [X2: qML_mu,X6: qML_i] :
~ ( X5 @ X2 @ X6 )
@ X4 )
=> ~ ( scott_P @ X5 @ X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_7_A1a) ).
thf(f219,plain,
! [X0: qML_mu,X1: qML_mu > qML_i > $o] :
( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( sK3 @ X0 @ Y1 @ Y0 )
=> ( X1 @ Y1 @ Y0 ) ) ) )
=> ( scott_P @ X1 @ sK2 ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f192]) ).
thf(f192,plain,
! [X0: qML_mu,X1: qML_mu > qML_i > $o] :
( ( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( sK3 @ X0 @ Y1 @ Y0 )
=> ( X1 @ Y1 @ Y0 ) ) ) )
& $true )
=> ( scott_P @ X1 @ sK2 ) )
= $true ),
inference(superposition,[status(thm)],[f183,f66]) ).
thf(f66,plain,
! [X1: qML_mu] :
( ( scott_P @ ( sK3 @ X1 ) @ sK2 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f64]) ).
thf(f64,plain,
! [X1: qML_mu] :
( ( ( scott_P @ ( sK3 @ X1 ) @ sK2 )
=> ( sK3 @ X1 @ X1 @ sK2 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f63]) ).
thf(f63,plain,
! [X1: qML_mu] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK2 )
=> ( Y0 @ X1 @ sK2 ) )
@ ( sK3 @ X1 ) )
= $false ),
inference(sigma_clausification,[status(thm)],[f62]) ).
thf(f62,plain,
! [X1: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK2 )
=> ( Y0 @ X1 @ sK2 ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f61]) ).
thf(f61,plain,
! [X1: qML_mu] :
( ( ^ [Y0: qML_mu] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK2 )
=> ( Y1 @ Y0 @ sK2 ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f59]) ).
thf(f59,plain,
( $false
= ( ?? @ qML_mu
@ ^ [Y0: qML_mu] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK2 )
=> ( Y1 @ Y0 @ sK2 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f58]) ).
thf(f58,plain,
( $false
= ( ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f56]) ).
thf(f56,plain,
( $false
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f50]) ).
thf(f50,plain,
( ( ~ ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f45]) ).
thf(f45,plain,
( ( ~ ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] :
( ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) )
@ Y1
@ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[status(thm)],[f36,f41]) ).
thf(f36,plain,
( ( ~ ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( scott_G @ Y1 @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f24,plain,
( ( ~ ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( scott_G @ Y1 @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f23]) ).
thf(f23,plain,
~ ! [X1: qML_i] :
? [X2: qML_mu] : ( scott_G @ X2 @ X1 ),
inference(rectify,[status(thm)],[f11]) ).
thf(f11,negated_conjecture,
~ ! [X12: qML_i,X8: qML_i] :
? [X5: qML_mu] : ( scott_G @ X5 @ X8 ),
inference(negated_conjecture,[status(cth)],[f10]) ).
thf(f10,conjecture,
! [X12: qML_i,X8: qML_i] :
? [X5: qML_mu] : ( scott_G @ X5 @ X8 ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',conj_0) ).
thf(f183,plain,
! [X2: qML_mu > qML_i > $o,X3: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X2 @ Y1 @ Y0 )
=> ( X1 @ Y1 @ Y0 ) ) ) )
& ( scott_P @ X2 @ X3 ) )
=> ( scott_P @ X1 @ X3 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f182]) ).
thf(f182,plain,
! [X2: qML_mu > qML_i > $o,X3: qML_i,X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_i] :
( ( ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X2 @ Y2 @ Y1 )
=> ( X1 @ Y2 @ Y1 ) ) ) )
& ( scott_P @ X2 @ Y0 ) )
=> ( scott_P @ X1 @ Y0 ) )
@ X3 )
= $true ),
inference(pi_clausification,[status(thm)],[f181]) ).
thf(f181,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o] :
( $true
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X2 @ Y2 @ Y1 )
=> ( X1 @ Y2 @ Y1 ) ) ) )
& ( scott_P @ X2 @ Y0 ) )
=> ( scott_P @ X1 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f180]) ).
thf(f180,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( ( !! @ qML_i
@ ^ [Y2: qML_i] :
( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( X1 @ Y3 @ Y2 ) ) ) )
& ( scott_P @ Y0 @ Y1 ) )
=> ( scott_P @ X1 @ Y1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f179]) ).
thf(f179,plain,
! [X1: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( ( !! @ qML_i
@ ^ [Y2: qML_i] :
( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( X1 @ Y3 @ Y2 ) ) ) )
& ( scott_P @ Y0 @ Y1 ) )
=> ( scott_P @ X1 @ Y1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f178]) ).
thf(f178,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( ( !! @ qML_i
@ ^ [Y3: qML_i] :
( !! @ qML_mu
@ ^ [Y4: qML_mu] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y0 @ Y4 @ Y3 ) ) ) )
& ( scott_P @ Y1 @ Y2 ) )
=> ( scott_P @ Y0 @ Y2 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( ( !! @ qML_i
@ ^ [Y3: qML_i] :
( !! @ qML_mu
@ ^ [Y4: qML_mu] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y0 @ Y4 @ Y3 ) ) ) )
& ( scott_P @ Y1 @ Y2 ) )
=> ( scott_P @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f22]) ).
thf(f22,plain,
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( ( !! @ qML_i
@ ^ [Y3: qML_i] :
( !! @ qML_mu
@ ^ [Y4: qML_mu] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y0 @ Y4 @ Y3 ) ) ) )
& ( scott_P @ Y1 @ Y2 ) )
=> ( scott_P @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f21]) ).
thf(f21,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o,X2: qML_mu > qML_i > $o] :
( ( ( scott_P @ X1 @ X0 )
& ! [X3: qML_mu,X4: qML_i] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ X4 ) ) )
=> ( scott_P @ X2 @ X0 ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
! [X4: qML_i,X5: qML_mu > qML_i > $o,X7: qML_mu > qML_i > $o] :
( ( ( scott_P @ X5 @ X4 )
& ! [X9: qML_mu,X8: qML_i] :
( ( X5 @ X9 @ X8 )
=> ( X7 @ X9 @ X8 ) ) )
=> ( scott_P @ X7 @ X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_4_A2) ).
thf(f19613,plain,
spl0_2,
inference(avatar_split_clause,[status(thm)],[f19600,f19607]) ).
thf(f19600,plain,
( ( ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f19599]) ).
thf(f19599,plain,
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
=> $false )
= $true ),
inference(forward_demodulation,[status(thm)],[f19598,f56]) ).
thf(f19598,plain,
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f19597]) ).
thf(f19597,plain,
( ( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
= $true )
| ( $false = $true ) ),
inference(forward_demodulation,[status(thm)],[f19584,f1091]) ).
thf(f1091,plain,
( $true
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK18 )
=> ( Y0 @ sK19 @ sK18 ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f1088]) ).
thf(f1088,plain,
( ( ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK18 )
=> ( Y0 @ sK19 @ sK18 ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f1087]) ).
thf(f1087,plain,
( $false
= ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( ( Y0 @ sK19 @ sK18 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1 @ sK19 @ sK18 )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ?? @ qML_mu
@ ^ [Y2: qML_mu] : ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK18 )
=> ( Y0 @ sK19 @ sK18 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f1086]) ).
thf(f1086,plain,
( $false
= ( ^ [Y0: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( ( Y1 @ Y0 @ sK18 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( Y2 @ Y0 @ sK18 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( !! @ qML_mu
@ ^ [Y4: qML_mu] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( ?? @ qML_mu
@ ^ [Y3: qML_mu] : ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK18 )
=> ( Y1 @ Y0 @ sK18 ) ) ) )
@ sK19 ) ),
inference(sigma_clausification,[status(thm)],[f1085]) ).
thf(f1085,plain,
( $false
= ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( ( Y1 @ Y0 @ sK18 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( Y2 @ Y0 @ sK18 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( !! @ qML_mu
@ ^ [Y4: qML_mu] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( ?? @ qML_mu
@ ^ [Y3: qML_mu] : ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK18 )
=> ( Y1 @ Y0 @ sK18 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f1084]) ).
thf(f1084,plain,
( ( ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ( Y2 @ Y1 @ Y0 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y0 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) )
@ sK18 )
= $false ),
inference(sigma_clausification,[status(thm)],[f746]) ).
thf(f746,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ( Y2 @ Y1 @ Y0 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y0 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[status(thm)],[f745]) ).
thf(f745,plain,
( $false
= ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ( Y2 @ Y1 @ Y0 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y0 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
& $true ) ),
inference(beta_eta_normalization,[status(thm)],[f731]) ).
thf(f731,plain,
( $false
= ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( ( Y4 @ Y2 @ Y3 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y5: qML_mu > qML_i > $o] :
( ( Y5 @ Y2 @ Y3 )
=> ( !! @ qML_i
@ ^ [Y6: qML_i] :
( !! @ qML_mu
@ ^ [Y7: qML_mu] :
( ( Y4 @ Y7 @ Y6 )
=> ( Y5 @ Y7 @ Y6 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y5: qML_i] :
( ?? @ qML_mu
@ ^ [Y6: qML_mu] : ( Y4 @ Y6 @ Y5 ) ) ) ) )
@ Y1
@ Y0 )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
& $true ) ),
inference(superposition,[status(thm)],[f650,f716]) ).
thf(f716,plain,
! [X1: qML_i] :
( ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
( $true
= ( !! @ qML_i
@ ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f46]) ).
thf(f46,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( scott_P
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( ^ [Y4: qML_mu > qML_i > $o,Y5: qML_mu,Y6: qML_i] :
( ( Y4 @ Y5 @ Y6 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y7: qML_mu > qML_i > $o] :
( ( Y7 @ Y5 @ Y6 )
=> ( !! @ qML_i
@ ^ [Y8: qML_i] :
( !! @ qML_mu
@ ^ [Y9: qML_mu] :
( ( Y4 @ Y9 @ Y8 )
=> ( Y7 @ Y9 @ Y8 ) ) ) ) ) ) )
@ Y3
@ Y1
@ Y2 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ?? @ qML_mu
@ ^ [Y5: qML_mu] : ( Y3 @ Y5 @ Y4 ) ) ) ) )
@ Y0 ) )
= $true ),
inference(definition_unfolding,[status(thm)],[f37,f43]) ).
thf(f43,plain,
( scott_NE_QML_mu
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ^ [Y3: qML_mu > qML_i > $o,Y4: qML_mu,Y5: qML_i] :
( ( Y3 @ Y4 @ Y5 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y6: qML_mu > qML_i > $o] :
( ( Y6 @ Y4 @ Y5 )
=> ( !! @ qML_i
@ ^ [Y7: qML_i] :
( !! @ qML_mu
@ ^ [Y8: qML_mu] :
( ( Y3 @ Y8 @ Y7 )
=> ( Y6 @ Y8 @ Y7 ) ) ) ) ) ) )
@ Y2
@ Y0
@ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ),
inference(definition_unfolding,[status(thm)],[f34,f40]) ).
thf(f40,plain,
( scott_ess_QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( ( Y0 @ Y1 @ Y2 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
thf(f28,plain,
( scott_ess_QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( ( Y0 @ Y1 @ Y2 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f27]) ).
thf(f27,plain,
( scott_ess_QML_mu
= ( ^ [X0: qML_mu > qML_i > $o,X1: qML_mu,X2: qML_i] :
( ! [X3: qML_mu > qML_i > $o] :
( ( X3 @ X1 @ X2 )
=> ! [X4: qML_mu,X5: qML_i] :
( ( X0 @ X4 @ X5 )
=> ( X3 @ X4 @ X5 ) ) )
& ( X0 @ X1 @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,axiom,
( scott_ess_QML_mu
= ( ^ [X10: qML_mu > qML_i > $o,X0: qML_mu,X1: qML_i] :
( ! [X2: qML_mu > qML_i > $o] :
( ( X2 @ X0 @ X1 )
=> ! [X6: qML_mu,X11: qML_i] :
( ( X10 @ X6 @ X11 )
=> ( X2 @ X6 @ X11 ) ) )
& ( X10 @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_6_ess__def) ).
thf(f34,plain,
( scott_NE_QML_mu
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_ess_QML_mu @ Y2 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f20,plain,
( scott_NE_QML_mu
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_ess_QML_mu @ Y2 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f19]) ).
thf(f19,plain,
( ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( scott_ess_QML_mu @ X2 @ X0 @ X1 )
=> ! [X3: qML_i] :
? [X4: qML_mu] : ( X2 @ X4 @ X3 ) ) )
= scott_NE_QML_mu ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,axiom,
( ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( scott_ess_QML_mu @ X2 @ X0 @ X1 )
=> ! [X11: qML_i] :
? [X6: qML_mu] : ( X2 @ X6 @ X11 ) ) )
= scott_NE_QML_mu ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_8_NE__def) ).
thf(f37,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] : ( scott_P @ scott_NE_QML_mu @ Y0 ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
( ( !! @ qML_i
@ ^ [Y0: qML_i] : ( scott_P @ scott_NE_QML_mu @ Y0 ) )
= $true ),
inference(fool_elimination,[status(thm)],[f15]) ).
thf(f15,plain,
! [X0: qML_i] : ( scott_P @ scott_NE_QML_mu @ X0 ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,axiom,
! [X3: qML_i] : ( scott_P @ scott_NE_QML_mu @ X3 ),
file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_5_A5) ).
thf(f650,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
& ( scott_P @ X1 @ X0 ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f215]) ).
thf(f215,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ~ ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
& ( scott_P @ X1 @ X0 ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f214]) ).
thf(f214,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
& ( scott_P @ X1 @ X0 ) )
=> $false )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f187]) ).
thf(f187,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( ^ [Y2: qML_mu,Y3: qML_i] :
~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) )
@ Y1
@ Y0 ) ) ) )
& ( scott_P @ X1 @ X0 ) )
=> $false )
= $true ),
inference(superposition,[status(thm)],[f183,f128]) ).
thf(f19584,plain,
( ( $false
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK18 )
=> ( Y0 @ sK19 @ sK18 ) ) ) )
| ( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
= $true ) ),
inference(boolean_simplification,[status(thm)],[f19583]) ).
thf(f19583,plain,
( ( $false
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK18 )
=> ( Y0 @ sK19 @ sK18 ) ) ) )
| ( ( ( $true
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y1 )
=> ( Y3 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f19576]) ).
thf(f19576,plain,
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sK19
@ sK18 )
= $false )
| ( ( ( $true
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( ^ [Y3: qML_mu,Y4: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y5: qML_mu > qML_i > $o] :
( ( scott_P @ Y5 @ Y4 )
=> ( Y5 @ Y3 @ Y4 ) ) )
@ Y2
@ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] :
( ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) )
@ Y1
@ Y0 ) ) ) )
= $true ) ),
inference(superposition,[status(thm)],[f19314,f16147]) ).
thf(f16147,plain,
! [X0: qML_mu > qML_i > $o] :
( ( ( X0 @ ( sK32 @ X0 ) @ ( sK31 @ X0 ) )
= $true )
| ( $false
= ( X0 @ sK19 @ sK18 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f16146]) ).
thf(f16146,plain,
! [X0: qML_mu > qML_i > $o] :
( ( $false
= ( ~ ( X0 @ ( sK32 @ X0 ) @ ( sK31 @ X0 ) ) ) )
| ( $false
= ( X0 @ sK19 @ sK18 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f16145]) ).
thf(f16145,plain,
! [X0: qML_mu > qML_i > $o] :
( ( $false
= ( X0 @ sK19 @ sK18 ) )
| ( ( ^ [Y0: qML_mu] :
~ ( X0 @ Y0 @ ( sK31 @ X0 ) )
@ ( sK32 @ X0 ) )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f16143]) ).
thf(f16143,plain,
! [X0: qML_mu > qML_i > $o] :
( ( $false
= ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
~ ( X0 @ Y0 @ ( sK31 @ X0 ) ) ) )
| ( $false
= ( X0 @ sK19 @ sK18 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f16141]) ).
thf(f16141,plain,
! [X0: qML_mu > qML_i > $o] :
( ( $false
= ( X0 @ sK19 @ sK18 ) )
| ( $false
= ( ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
~ ( X0 @ Y1 @ Y0 ) )
@ ( sK31 @ X0 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f4604]) ).
thf(f4604,plain,
! [X0: qML_mu > qML_i > $o] :
( ( $false
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
~ ( X0 @ Y1 @ Y0 ) ) ) )
| ( $false
= ( X0 @ sK19 @ sK18 ) ) ),
inference(boolean_simplification,[status(thm)],[f4595]) ).
thf(f4595,plain,
! [X0: qML_mu > qML_i > $o] :
( ( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
~ ( X0 @ Y1 @ Y0 ) ) )
& $true )
= $false )
| ( $false
= ( X0 @ sK19 @ sK18 ) ) ),
inference(superposition,[status(thm)],[f4466,f2011]) ).
thf(f2011,plain,
! [X0: qML_mu > qML_i > $o] :
( ( ( scott_P @ X0 @ sK18 )
= $true )
| ( $false
= ( X0 @ sK19 @ sK18 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f1302]) ).
thf(f1302,plain,
! [X0: qML_mu > qML_i > $o] :
( ( ( scott_P @ X0 @ sK18 )
= $true )
| ( ( ~ ( X0 @ sK19 @ sK18 ) )
= $true ) ),
inference(boolean_simplification,[status(thm)],[f1301]) ).
thf(f1301,plain,
! [X0: qML_mu > qML_i > $o] :
( ( ( ~ ( X0 @ sK19 @ sK18 ) )
= $true )
| ( ( ~ ~ ( scott_P @ X0 @ sK18 ) )
= $true ) ),
inference(boolean_simplification,[status(thm)],[f1300]) ).
thf(f1300,plain,
! [X0: qML_mu > qML_i > $o] :
( ( ( ~ ( scott_P @ X0 @ sK18 )
=> $false )
= $true )
| ( ( ~ ( X0 @ sK19 @ sK18 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f1273]) ).
thf(f1273,plain,
! [X0: qML_mu > qML_i > $o] :
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ sK19
@ sK18 )
= $true )
| ( ( ~ ( scott_P @ X0 @ sK18 )
=> $false )
= $true ) ),
inference(superposition,[status(thm)],[f143,f1163]) ).
thf(f1163,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ( scott_P @ X1 @ sK18 )
= $false )
| ( ( X1 @ sK19 @ sK18 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f1162]) ).
thf(f1162,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ( scott_P @ X1 @ sK18 )
=> ( X1 @ sK19 @ sK18 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f1160]) ).
thf(f1160,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK18 )
=> ( Y0 @ sK19 @ sK18 ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f1091]) ).
thf(f19314,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ( ( X1
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X1 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( X1 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f19313]) ).
thf(f19313,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1
@ ( sK32
@ ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
@ ( sK31
@ ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ?? @ qML_mu
@ ^ [Y2: qML_mu] : ( Y0 @ Y2 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f19302]) ).
thf(f19302,plain,
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1
@ ( sK32
@ ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
@ ( sK31
@ ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ?? @ qML_mu
@ ^ [Y2: qML_mu] : ( Y0 @ Y2 @ Y1 ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f19301]) ).
thf(f19301,plain,
( ( $true
=> ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( ( Y0
@ ( sK32
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
@ ( sK31
@ ^ [Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1
@ ( sK32
@ ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
@ ( sK31
@ ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ?? @ qML_mu
@ ^ [Y2: qML_mu] : ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f19215]) ).
thf(f19215,plain,
( $true
= ( $true
=> ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ( Y2 @ Y0 @ Y1 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) )
@ ( sK32
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
@ ( sK31
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(superposition,[status(thm)],[f19205,f716]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI005^4 : TPTP v9.2.1. Released v6.4.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n007.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue Feb 24 11:23:53 EST 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.30/0.46 ---- Original DTF file ---
% 0.30/0.46 thf(spec,logic,$$dhol).
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 % File : PHI005^4 : TPTP v9.2.1. Released v6.4.0.
% 0.30/0.46 % Domain : Philosophy
% 0.30/0.46 % Problem : Necessarily, God exists
% 0.30/0.46 % Version : [Ben16] axioms : Biased.
% 0.30/0.46 % English :
% 0.30/0.46
% 0.30/0.46 % Refs : [Ben16] Benzmueller (2016), Email to Geoff Sutcliffe
% 0.30/0.46 % Source : [Ben16]
% 0.30/0.46 % Names : Sledgehammer_T3_S5U_direct_satallax.p [Ben16]
% 0.30/0.46
% 0.30/0.46 % Status : Theorem
% 0.30/0.46 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.70 v8.2.0, 0.69 v8.1.0, 0.64 v7.5.0, 0.71 v7.4.0, 0.78 v7.2.0, 0.75 v7.0.0, 0.71 v6.4.0
% 0.30/0.46 % Syntax : Number of formulae : 16 ( 4 unt; 6 typ; 0 def)
% 0.30/0.46 % Number of atoms : 21 ( 3 equ; 0 cnn)
% 0.30/0.46 % Maximal formula atoms : 2 ( 2 avg)
% 0.30/0.46 % Number of connectives : 62 ( 4 ~; 0 |; 2 &; 47 @)
% 0.30/0.46 % ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% 0.30/0.46 % Maximal formula depth : 11 ( 6 avg)
% 0.30/0.46 % Number of types : 3 ( 2 usr)
% 0.30/0.46 % Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% 0.30/0.46 % Number of symbols : 5 ( 4 usr; 0 con; 2-3 aty)
% 0.30/0.46 % Number of variables : 35 ( 11 ^; 22 !; 2 ?; 35 :)
% 0.30/0.46 % SPC : TH0_THM_EQU_NAR
% 0.30/0.46
% 0.30/0.46 % Comments : This problem file has been generated by Sledgehammer (satallax
% 0.30/0.46 % translation) in default setting.
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 %----Could-be-implicit typings (2)
% 0.30/0.46 thf(ty_n_t__QML____S5U__O__092__060mu__062,type,
% 0.30/0.46 qML_mu: $tType ).
% 0.30/0.46
% 0.30/0.46 thf(ty_n_t__QML____S5U__Oi,type,
% 0.30/0.46 qML_i: $tType ).
% 0.30/0.46
% 0.30/0.46 %----Explicit typings (4)
% 0.30/0.46 thf(sy_c_Scott__S5U_OG,type,
% 0.30/0.46 scott_G: qML_mu > qML_i > $o ).
% 0.30/0.46
% 0.30/0.46 thf(sy_c_Scott__S5U_ONE_001t__QML____S5U__O__092__060mu__062,type,
% 0.30/0.46 scott_NE_QML_mu: qML_mu > qML_i > $o ).
% 0.30/0.46
% 0.30/0.46 thf(sy_c_Scott__S5U_OP,type,
% 0.30/0.46 scott_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
% 0.30/0.46
% 0.30/0.46 thf(sy_c_Scott__S5U_Oess_001t__QML____S5U__O__092__060mu__062,type,
% 0.30/0.46 scott_ess_QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
% 0.30/0.46
% 0.30/0.46 %----Relevant facts (9)
% 0.30/0.46 thf(fact_0_G__def,axiom,
% 0.30/0.46 ( scott_G
% 0.30/0.46 = ( ^ [X: qML_mu,W: qML_i] :
% 0.30/0.46 ! [Y: qML_mu > qML_i > $o] :
% 0.30/0.46 ( ( scott_P @ Y @ W )
% 0.30/0.46 => ( Y @ X @ W ) ) ) ) ).
% 0.30/0.46
% 0.30/0.46 % G_def
% 0.30/0.46 thf(fact_1_A3,axiom,
% 0.30/0.46 ! [X_1: qML_i] : ( scott_P @ scott_G @ X_1 ) ).
% 0.30/0.46
% 0.30/0.46 % A3
% 0.30/0.46 thf(fact_2_A4,axiom,
% 0.30/0.46 ! [W2: qML_i,X2: qML_mu > qML_i > $o] :
% 0.30/0.46 ( ( scott_P @ X2 @ W2 )
% 0.30/0.46 => ! [X_1: qML_i] : ( scott_P @ X2 @ X_1 ) ) ).
% 0.30/0.46
% 0.30/0.46 % A4
% 0.30/0.46 thf(fact_3_A1b,axiom,
% 0.30/0.46 ! [W2: qML_i,X2: qML_mu > qML_i > $o] :
% 0.30/0.46 ( ~ ( scott_P @ X2 @ W2 )
% 0.30/0.46 => ( scott_P
% 0.30/0.46 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.30/0.46 ~ ( X2 @ Y @ Z )
% 0.30/0.46 @ W2 ) ) ).
% 0.30/0.46
% 0.30/0.46 % A1b
% 0.30/0.46 thf(fact_4_A2,axiom,
% 0.30/0.46 ! [W2: qML_i,X2: qML_mu > qML_i > $o,Xa: qML_mu > qML_i > $o] :
% 0.30/0.46 ( ( ( scott_P @ X2 @ W2 )
% 0.30/0.46 & ! [V: qML_i,Xb: qML_mu] :
% 0.30/0.46 ( ( X2 @ Xb @ V )
% 0.30/0.46 => ( Xa @ Xb @ V ) ) )
% 0.30/0.46 => ( scott_P @ Xa @ W2 ) ) ).
% 0.30/0.46
% 0.30/0.46 % A2
% 0.30/0.46 thf(fact_5_A5,axiom,
% 0.30/0.46 ! [X_1: qML_i] : ( scott_P @ scott_NE_QML_mu @ X_1 ) ).
% 0.30/0.46
% 0.30/0.46 % A5
% 0.30/0.46 thf(fact_6_ess__def,axiom,
% 0.30/0.46 ( scott_ess_QML_mu
% 0.30/0.46 = ( ^ [Phi: qML_mu > qML_i > $o,X: qML_mu,W: qML_i] :
% 0.30/0.46 ( ( Phi @ X @ W )
% 0.30/0.46 & ! [Y: qML_mu > qML_i > $o] :
% 0.30/0.46 ( ( Y @ X @ W )
% 0.30/0.46 => ! [V2: qML_i,Z: qML_mu] :
% 0.30/0.46 ( ( Phi @ Z @ V2 )
% 0.30/0.46 => ( Y @ Z @ V2 ) ) ) ) ) ) ).
% 0.30/0.46
% 0.30/0.46 % ess_def
% 0.30/0.46 thf(fact_7_A1a,axiom,
% 0.30/0.46 ! [W2: qML_i,X2: qML_mu > qML_i > $o] :
% 0.30/0.46 ( ( scott_P
% 0.30/0.46 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.30/0.46 ~ ( X2 @ Y @ Z )
% 0.30/0.46 @ W2 )
% 0.30/0.46 => ~ ( scott_P @ X2 @ W2 ) ) ).
% 0.30/0.46
% 0.30/0.46 % A1a
% 0.30/0.46 thf(fact_8_NE__def,axiom,
% 0.30/0.46 ( scott_NE_QML_mu
% 0.30/0.46 = ( ^ [X: qML_mu,W: qML_i] :
% 0.30/0.46 ! [Y: qML_mu > qML_i > $o] :
% 0.30/0.46 ( ( scott_ess_QML_mu @ Y @ X @ W )
% 0.30/0.46 => ! [V2: qML_i] :
% 0.30/0.46 ? [Z: qML_mu] : ( Y @ Z @ V2 ) ) ) ) ).
% 0.30/0.46
% 0.30/0.46 % NE_def
% 0.30/0.46
% 0.30/0.46 %----Conjectures (1)
% 0.30/0.46 thf(conj_0,conjecture,
% 0.30/0.46 ! [W3: qML_i,V: qML_i] :
% 0.30/0.46 ? [X2: qML_mu] : ( scott_G @ X2 @ V ) ).
% 0.30/0.46
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 ------------------------
% 0.32/1.30 ---- Embedded in THF ---
% 0.32/1.30 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.32/1.30 %%% Generated on Tue Feb 24 11:23:54 EST 2026
% 0.32/1.30 %%% using '$$dhol' embedding, version 1.3.0.
% 0.32/1.30 %%% Logic specification used:
% 0.32/1.30 %%% thf(spec, logic, $$dhol).
% 0.32/1.30
% 0.32/1.30 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2DTF19310.p
% See solution above
% 0.32/1.30 ------------------------
% 0.32/1.31 ---- Cleaned THF ---
% 0.32/1.31 thf(ty_n_t__QML____S5U__O__092__060mu__062,type,
% 0.32/1.31 qML_mu: $tType ).
% 0.32/1.31
% 0.32/1.31 thf(ty_n_t__QML____S5U__Oi,type,
% 0.32/1.31 qML_i: $tType ).
% 0.32/1.31
% 0.32/1.31 thf(sy_c_Scott__S5U_OG,type,
% 0.32/1.31 scott_G: qML_mu > qML_i > $o ).
% 0.32/1.31
% 0.32/1.31 thf(sy_c_Scott__S5U_ONE_001t__QML____S5U__O__092__060mu__062,type,
% 0.32/1.31 scott_NE_QML_mu: qML_mu > qML_i > $o ).
% 0.32/1.31
% 0.32/1.31 thf(sy_c_Scott__S5U_OP,type,
% 0.32/1.31 scott_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
% 0.32/1.31
% 0.32/1.31 thf(sy_c_Scott__S5U_Oess_001t__QML____S5U__O__092__060mu__062,type,
% 0.32/1.31 scott_ess_QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
% 0.32/1.31
% 0.32/1.31 thf(fact_0_G__def,axiom,
% 0.32/1.31 ( scott_G
% 0.32/1.31 = ( ^ [X: qML_mu,W: qML_i] :
% 0.32/1.31 ! [Y: qML_mu > qML_i > $o] :
% 0.32/1.31 ( ( scott_P @ Y @ W )
% 0.32/1.31 => ( Y @ X @ W ) ) ) ) ).
% 0.32/1.31
% 0.32/1.31 thf(fact_1_A3,axiom,
% 0.32/1.31 ! [X_1: qML_i] : ( scott_P @ scott_G @ X_1 ) ).
% 0.32/1.31
% 0.32/1.31 thf(fact_2_A4,axiom,
% 0.32/1.31 ! [W2: qML_i,X2: qML_mu > qML_i > $o] :
% 0.32/1.31 ( ( scott_P @ X2 @ W2 )
% 0.32/1.31 => ! [X_1: qML_i] : ( scott_P @ X2 @ X_1 ) ) ).
% 0.32/1.31
% 0.32/1.31 thf(fact_3_A1b,axiom,
% 0.32/1.31 ! [W2: qML_i,X2: qML_mu > qML_i > $o] :
% 0.32/1.31 ( ~ ( scott_P @ X2 @ W2 )
% 0.32/1.31 => ( scott_P
% 0.32/1.31 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.32/1.31 ~ ( X2 @ Y @ Z )
% 0.32/1.31 @ W2 ) ) ).
% 0.32/1.31
% 0.32/1.31 thf(fact_4_A2,axiom,
% 0.32/1.31 ! [W2: qML_i,X2: qML_mu > qML_i > $o,Xa: qML_mu > qML_i > $o] :
% 0.32/1.31 ( ( ( scott_P @ X2 @ W2 )
% 0.32/1.31 & ! [V: qML_i,Xb: qML_mu] :
% 0.32/1.31 ( ( X2 @ Xb @ V )
% 0.32/1.31 => ( Xa @ Xb @ V ) ) )
% 0.32/1.31 => ( scott_P @ Xa @ W2 ) ) ).
% 0.32/1.31
% 0.32/1.31 thf(fact_5_A5,axiom,
% 0.32/1.31 ! [X_1: qML_i] : ( scott_P @ scott_NE_QML_mu @ X_1 ) ).
% 0.32/1.31
% 0.32/1.31 thf(fact_6_ess__def,axiom,
% 0.32/1.31 ( scott_ess_QML_mu
% 0.32/1.31 = ( ^ [Phi: qML_mu > qML_i > $o,X: qML_mu,W: qML_i] :
% 0.32/1.31 ( ( Phi @ X @ W )
% 0.32/1.31 & ! [Y: qML_mu > qML_i > $o] :
% 0.32/1.31 ( ( Y @ X @ W )
% 0.32/1.31 => ! [V2: qML_i,Z: qML_mu] :
% 0.32/1.31 ( ( Phi @ Z @ V2 )
% 0.32/1.31 => ( Y @ Z @ V2 ) ) ) ) ) ) ).
% 0.32/1.31
% 0.32/1.31 thf(fact_7_A1a,axiom,
% 0.32/1.31 ! [W2: qML_i,X2: qML_mu > qML_i > $o] :
% 0.32/1.31 ( ( scott_P
% 0.32/1.31 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.32/1.31 ~ ( X2 @ Y @ Z )
% 0.32/1.31 @ W2 )
% 0.32/1.31 => ~ ( scott_P @ X2 @ W2 ) ) ).
% 0.32/1.31
% 0.32/1.31 thf(fact_8_NE__def,axiom,
% 0.32/1.31 ( scott_NE_QML_mu
% 0.32/1.31 = ( ^ [X: qML_mu,W: qML_i] :
% 0.32/1.31 ! [Y: qML_mu > qML_i > $o] :
% 0.32/1.31 ( ( scott_ess_QML_mu @ Y @ X @ W )
% 0.32/1.31 => ! [V2: qML_i] :
% 0.32/1.31 ? [Z: qML_mu] : ( Y @ Z @ V2 ) ) ) ) ).
% 0.32/1.31
% 0.32/1.31 thf(conj_0,conjecture,
% 0.32/1.31 ! [W3: qML_i,V: qML_i] :
% 0.32/1.31 ? [X2: qML_mu] : ( scott_G @ X2 @ V ) ).
% 0.32/1.31 ------------------------
% 0.32/1.33 % (19587)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_19310 for (2999ds/27Mi)
% 0.32/1.33 % (19586)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_19310 for (2999ds/4Mi)
% 0.32/1.33 % (19586)Instruction limit reached!
% 0.32/1.33 % (19586)------------------------------
% 0.32/1.33 % (19586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.33 % (19586)Termination reason: Unknown
% 0.32/1.33 % (19586)Termination phase: Saturation
% 0.32/1.33
% 0.32/1.33 % (19586)Memory used [KB]: 5500
% 0.32/1.33 % (19586)Time elapsed: 0.003 s
% 0.32/1.33 % (19586)Instructions burned: 6 (million)
% 0.32/1.33 % (19586)------------------------------
% 0.32/1.33 % (19586)------------------------------
% 0.32/1.34 % (19585)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/183Mi)
% 0.32/1.34 % (19588)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/2Mi)
% 0.32/1.34 % (19589)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_19310 for (2999ds/2Mi)
% 0.32/1.34 % (19590)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_19310 for (2999ds/275Mi)
% 0.32/1.34 % (19591)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/18Mi)
% 0.32/1.34 % (19587)Instruction limit reached!
% 0.32/1.34 % (19587)------------------------------
% 0.32/1.34 % (19587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.34 % (19587)Termination reason: Unknown
% 0.32/1.34 % (19587)Termination phase: Saturation
% 0.32/1.34
% 0.32/1.34 % (19587)Memory used [KB]: 5628
% 0.32/1.34 % (19587)Time elapsed: 0.010 s
% 0.32/1.34 % (19587)Instructions burned: 28 (million)
% 0.32/1.34 % (19587)------------------------------
% 0.32/1.34 % (19587)------------------------------
% 0.32/1.34 % (19588)Instruction limit reached!
% 0.32/1.34 % (19588)------------------------------
% 0.32/1.34 % (19588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.34 % (19588)Termination reason: Unknown
% 0.32/1.34 % (19588)Termination phase: shuffling
% 0.32/1.34
% 0.32/1.34 % (19588)Memory used [KB]: 1023
% 0.32/1.34 % (19588)Time elapsed: 0.003 s
% 0.32/1.34 % (19588)Instructions burned: 2 (million)
% 0.32/1.34 % (19588)------------------------------
% 0.32/1.34 % (19588)------------------------------
% 0.32/1.34 % (19589)Instruction limit reached!
% 0.32/1.34 % (19589)------------------------------
% 0.32/1.34 % (19589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.34 % (19589)Termination reason: Unknown
% 0.32/1.34 % (19589)Termination phase: shuffling
% 0.32/1.34
% 0.32/1.34 % (19589)Memory used [KB]: 1023
% 0.32/1.34 % (19589)Time elapsed: 0.003 s
% 0.32/1.34 % (19589)Instructions burned: 2 (million)
% 0.32/1.34 % (19589)------------------------------
% 0.32/1.34 % (19589)------------------------------
% 0.32/1.34 % (19590)Refutation not found, incomplete strategy
% 0.32/1.34 % (19590)------------------------------
% 0.32/1.34 % (19590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.34 % (19590)Termination reason: Refutation not found, incomplete strategy
% 0.32/1.34
% 0.32/1.34
% 0.32/1.34 % (19590)Memory used [KB]: 5500
% 0.32/1.34 % (19590)Time elapsed: 0.005 s
% 0.32/1.34 % (19590)Instructions burned: 4 (million)
% 0.32/1.34 % (19590)------------------------------
% 0.32/1.34 % (19590)------------------------------
% 0.32/1.34 % (19592)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/3Mi)
% 0.32/1.34 % (19592)Instruction limit reached!
% 0.32/1.34 % (19592)------------------------------
% 0.32/1.34 % (19592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.34 % (19592)Termination reason: Unknown
% 0.32/1.34 % (19592)Termination phase: Saturation
% 0.32/1.34
% 0.32/1.34 % (19592)Memory used [KB]: 1023
% 0.32/1.34 % (19592)Time elapsed: 0.003 s
% 0.32/1.34 % (19592)Instructions burned: 4 (million)
% 0.32/1.34 % (19592)------------------------------
% 0.32/1.34 % (19592)------------------------------
% 0.32/1.35 % (19593)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_19310 for (2999ds/37Mi)
% 0.32/1.35 % (19591)Instruction limit reached!
% 0.32/1.35 % (19591)------------------------------
% 0.32/1.35 % (19591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.35 % (19591)Termination reason: Unknown
% 0.32/1.35 % (19591)Termination phase: Saturation
% 0.32/1.35
% 0.32/1.35 % (19591)Memory used [KB]: 5628
% 0.32/1.35 % (19591)Time elapsed: 0.014 s
% 0.32/1.35 % (19591)Instructions burned: 19 (million)
% 0.32/1.35 % (19591)------------------------------
% 0.32/1.35 % (19591)------------------------------
% 0.32/1.35 % (19597)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/7Mi)
% 0.32/1.35 % (19594)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_19310 for (2999ds/15Mi)
% 0.32/1.35 % (19595)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_19310 for (2999ds/3Mi)
% 0.32/1.36 % (19597)Instruction limit reached!
% 0.32/1.36 % (19597)------------------------------
% 0.32/1.36 % (19597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.36 % (19597)Termination reason: Unknown
% 0.32/1.36 % (19597)Termination phase: Saturation
% 0.32/1.36
% 0.32/1.36 % (19597)Memory used [KB]: 1023
% 0.32/1.36 % (19597)Time elapsed: 0.005 s
% 0.32/1.36 % (19597)Instructions burned: 9 (million)
% 0.32/1.36 % (19597)------------------------------
% 0.32/1.36 % (19597)------------------------------
% 0.32/1.36 % (19595)Instruction limit reached!
% 0.32/1.36 % (19595)------------------------------
% 0.32/1.36 % (19595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.36 % (19595)Termination reason: Unknown
% 0.32/1.36 % (19595)Termination phase: Property scanning
% 0.32/1.36
% 0.32/1.36 % (19595)Memory used [KB]: 1023
% 0.32/1.36 % (19595)Time elapsed: 0.004 s
% 0.32/1.36 % (19595)Instructions burned: 3 (million)
% 0.32/1.36 % (19595)------------------------------
% 0.32/1.36 % (19595)------------------------------
% 0.32/1.36 % (19596)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_19310 for (2999ds/1041Mi)
% 0.32/1.36 % (19593)Instruction limit reached!
% 0.32/1.36 % (19593)------------------------------
% 0.32/1.36 % (19593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.36 % (19593)Termination reason: Unknown
% 0.32/1.36 % (19593)Termination phase: Saturation
% 0.32/1.36
% 0.32/1.36 % (19593)Memory used [KB]: 5628
% 0.32/1.36 % (19593)Time elapsed: 0.013 s
% 0.32/1.36 % (19593)Instructions burned: 38 (million)
% 0.32/1.36 % (19593)------------------------------
% 0.32/1.36 % (19593)------------------------------
% 0.32/1.36 % (19594)Instruction limit reached!
% 0.32/1.36 % (19594)------------------------------
% 0.32/1.36 % (19594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.36 % (19594)Termination reason: Unknown
% 0.32/1.36 % (19594)Termination phase: Saturation
% 0.32/1.36
% 0.32/1.36 % (19594)Memory used [KB]: 5628
% 0.32/1.36 % (19594)Time elapsed: 0.012 s
% 0.32/1.36 % (19594)Instructions burned: 16 (million)
% 0.32/1.36 % (19594)------------------------------
% 0.32/1.36 % (19594)------------------------------
% 0.32/1.37 % (19599)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_19310 for (2999ds/3Mi)
% 0.32/1.37 % (19598)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/16Mi)
% 0.32/1.37 % (19599)Instruction limit reached!
% 0.32/1.37 % (19599)------------------------------
% 0.32/1.37 % (19599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.37 % (19599)Termination reason: Unknown
% 0.32/1.37 % (19599)Termination phase: Property scanning
% 0.32/1.37
% 0.32/1.37 % (19599)Memory used [KB]: 1023
% 0.32/1.37 % (19599)Time elapsed: 0.003 s
% 0.32/1.37 % (19599)Instructions burned: 4 (million)
% 0.32/1.37 % (19599)------------------------------
% 0.32/1.37 % (19599)------------------------------
% 0.32/1.37 % (19601)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/7Mi)
% 0.32/1.37 % (19601)Instruction limit reached!
% 0.32/1.37 % (19601)------------------------------
% 0.32/1.37 % (19601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.37 % (19601)Termination reason: Unknown
% 0.32/1.37 % (19601)Termination phase: Saturation
% 0.32/1.37
% 0.32/1.37 % (19601)Memory used [KB]: 5500
% 0.32/1.37 % (19601)Time elapsed: 0.004 s
% 0.32/1.37 % (19601)Instructions burned: 9 (million)
% 0.32/1.37 % (19601)------------------------------
% 0.32/1.37 % (19601)------------------------------
% 0.32/1.37 % (19600)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_19310 for (2999ds/3Mi)
% 0.32/1.38 % (19598)Instruction limit reached!
% 0.32/1.38 % (19598)------------------------------
% 0.32/1.38 % (19598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.38 % (19598)Termination reason: Unknown
% 0.32/1.38 % (19598)Termination phase: Saturation
% 0.32/1.38
% 0.32/1.38 % (19598)Memory used [KB]: 5628
% 0.32/1.38 % (19598)Time elapsed: 0.012 s
% 0.32/1.38 % (19598)Instructions burned: 16 (million)
% 0.32/1.38 % (19598)------------------------------
% 0.32/1.38 % (19598)------------------------------
% 0.32/1.38 % (19600)Instruction limit reached!
% 0.32/1.38 % (19600)------------------------------
% 0.32/1.38 % (19600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.38 % (19600)Termination reason: Unknown
% 0.32/1.38 % (19600)Termination phase: Equality resolution with deletion
% 0.32/1.38
% 0.32/1.38 % (19600)Memory used [KB]: 1023
% 0.32/1.38 % (19600)Time elapsed: 0.004 s
% 0.32/1.38 % (19600)Instructions burned: 4 (million)
% 0.32/1.38 % (19600)------------------------------
% 0.32/1.38 % (19600)------------------------------
% 0.32/1.38 % (19603)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/4Mi)
% 0.32/1.38 % (19603)Instruction limit reached!
% 0.32/1.38 % (19603)------------------------------
% 0.32/1.38 % (19603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.38 % (19603)Termination reason: Unknown
% 0.32/1.38 % (19603)Termination phase: Saturation
% 0.32/1.38
% 0.32/1.38 % (19603)Memory used [KB]: 5500
% 0.32/1.38 % (19603)Time elapsed: 0.003 s
% 0.32/1.38 % (19603)Instructions burned: 4 (million)
% 0.32/1.38 % (19603)------------------------------
% 0.32/1.38 % (19603)------------------------------
% 0.32/1.38 % (19604)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/18Mi)
% 0.32/1.38 % (19602)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/3Mi)
% 0.32/1.38 % (19602)Instruction limit reached!
% 0.32/1.38 % (19602)------------------------------
% 0.32/1.38 % (19602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.38 % (19602)Termination reason: Unknown
% 0.32/1.38 % (19602)Termination phase: Property scanning
% 0.32/1.38
% 0.32/1.38 % (19602)Memory used [KB]: 1023
% 0.32/1.38 % (19602)Time elapsed: 0.004 s
% 0.32/1.38 % (19602)Instructions burned: 4 (million)
% 0.32/1.38 % (19602)------------------------------
% 0.32/1.38 % (19602)------------------------------
% 0.32/1.39 % (19604)Instruction limit reached!
% 0.32/1.39 % (19604)------------------------------
% 0.32/1.39 % (19604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.39 % (19604)Termination reason: Unknown
% 0.32/1.39 % (19604)Termination phase: Saturation
% 0.32/1.39
% 0.32/1.39 % (19604)Memory used [KB]: 5628
% 0.32/1.39 % (19604)Time elapsed: 0.007 s
% 0.32/1.39 % (19604)Instructions burned: 18 (million)
% 0.32/1.39 % (19604)------------------------------
% 0.32/1.39 % (19604)------------------------------
% 0.32/1.39 % (19607)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_19310 for (2999ds/902Mi)
% 0.32/1.39 % (19607)Refutation not found, incomplete strategy
% 0.32/1.39 % (19607)------------------------------
% 0.32/1.39 % (19607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.39 % (19607)Termination reason: Refutation not found, incomplete strategy
% 0.32/1.39
% 0.32/1.39
% 0.32/1.39 % (19607)Memory used [KB]: 5500
% 0.32/1.39 % (19607)Time elapsed: 0.003 s
% 0.32/1.39 % (19607)Instructions burned: 4 (million)
% 0.32/1.39 % (19607)------------------------------
% 0.32/1.39 % (19607)------------------------------
% 0.32/1.39 % (19605)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/710Mi)
% 0.32/1.39 % (19606)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/6Mi)
% 0.32/1.40 % (19609)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/5Mi)
% 1.74/1.40 % (19609)Instruction limit reached!
% 1.74/1.40 % (19609)------------------------------
% 1.74/1.40 % (19609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.40 % (19609)Termination reason: Unknown
% 1.74/1.40 % (19609)Termination phase: Saturation
% 1.74/1.40
% 1.74/1.40 % (19609)Memory used [KB]: 5500
% 1.74/1.40 % (19609)Time elapsed: 0.003 s
% 1.74/1.40 % (19609)Instructions burned: 7 (million)
% 1.74/1.40 % (19609)------------------------------
% 1.74/1.40 % (19609)------------------------------
% 1.74/1.40 % (19606)Instruction limit reached!
% 1.74/1.40 % (19606)------------------------------
% 1.74/1.40 % (19606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.40 % (19606)Termination reason: Unknown
% 1.74/1.40 % (19606)Termination phase: Saturation
% 1.74/1.40
% 1.74/1.40 % (19606)Memory used [KB]: 5500
% 1.74/1.40 % (19606)Time elapsed: 0.006 s
% 1.74/1.40 % (19606)Instructions burned: 7 (million)
% 1.74/1.40 % (19606)------------------------------
% 1.74/1.40 % (19606)------------------------------
% 1.74/1.40 % (19610)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_19310 for (2999ds/6Mi)
% 1.74/1.40 % (19608)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_19310 for (2999ds/21Mi)
% 1.74/1.40 % (19610)Instruction limit reached!
% 1.74/1.40 % (19610)------------------------------
% 1.74/1.40 % (19610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.40 % (19610)Termination reason: Unknown
% 1.74/1.40 % (19610)Termination phase: Saturation
% 1.74/1.40
% 1.74/1.40 % (19610)Memory used [KB]: 5500
% 1.74/1.40 % (19610)Time elapsed: 0.004 s
% 1.74/1.40 % (19610)Instructions burned: 7 (million)
% 1.74/1.40 % (19610)------------------------------
% 1.74/1.40 % (19610)------------------------------
% 1.74/1.40 % (19585)Instruction limit reached!
% 1.74/1.40 % (19585)------------------------------
% 1.74/1.40 % (19585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.40 % (19585)Termination reason: Unknown
% 1.74/1.40 % (19585)Termination phase: Saturation
% 1.74/1.40
% 1.74/1.40 % (19585)Memory used [KB]: 7036
% 1.74/1.40 % (19585)Time elapsed: 0.070 s
% 1.74/1.40 % (19585)Instructions burned: 186 (million)
% 1.74/1.40 % (19585)------------------------------
% 1.74/1.40 % (19585)------------------------------
% 1.74/1.41 % (19613)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_19310 for (2999ds/19Mi)
% 1.74/1.41 % (19614)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/879Mi)
% 1.74/1.41 % (19611)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/377Mi)
% 1.74/1.41 % (19612)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_19310 for (2999ds/779Mi)
% 1.74/1.42 % (19608)Instruction limit reached!
% 1.74/1.42 % (19608)------------------------------
% 1.74/1.42 % (19608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.42 % (19608)Termination reason: Unknown
% 1.74/1.42 % (19608)Termination phase: Saturation
% 1.74/1.42
% 1.74/1.42 % (19608)Memory used [KB]: 5628
% 1.74/1.42 % (19608)Time elapsed: 0.016 s
% 1.74/1.42 % (19608)Instructions burned: 22 (million)
% 1.74/1.42 % (19608)------------------------------
% 1.74/1.42 % (19608)------------------------------
% 1.74/1.42 % (19613)Refutation not found, incomplete strategy
% 1.74/1.42 % (19613)------------------------------
% 1.74/1.42 % (19613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.42 % (19613)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.42
% 1.74/1.42
% 1.74/1.42 % (19613)Memory used [KB]: 5500
% 1.74/1.42 % (19613)Time elapsed: 0.005 s
% 1.74/1.42 % (19613)Instructions burned: 10 (million)
% 1.74/1.42 % (19613)------------------------------
% 1.74/1.42 % (19613)------------------------------
% 1.74/1.43 % (19616)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/3Mi)
% 1.74/1.43 % (19616)Instruction limit reached!
% 1.74/1.43 % (19616)------------------------------
% 1.74/1.43 % (19616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.43 % (19616)Termination reason: Unknown
% 1.74/1.43 % (19616)Termination phase: Property scanning
% 1.74/1.43
% 1.74/1.43 % (19616)Memory used [KB]: 1023
% 1.74/1.43 % (19616)Time elapsed: 0.003 s
% 1.74/1.43 % (19616)Instructions burned: 4 (million)
% 1.74/1.43 % (19616)------------------------------
% 1.74/1.43 % (19616)------------------------------
% 1.74/1.43 % (19615)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/17Mi)
% 1.74/1.44 % (19617)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_19310 for (2999ds/30Mi)
% 1.74/1.44 % (19615)Instruction limit reached!
% 1.74/1.44 % (19615)------------------------------
% 1.74/1.44 % (19615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.44 % (19615)Termination reason: Unknown
% 1.74/1.44 % (19615)Termination phase: Saturation
% 1.74/1.44
% 1.74/1.44 % (19615)Memory used [KB]: 5628
% 1.74/1.44 % (19615)Time elapsed: 0.009 s
% 1.74/1.44 % (19615)Instructions burned: 17 (million)
% 1.74/1.44 % (19615)------------------------------
% 1.74/1.44 % (19615)------------------------------
% 1.74/1.45 % (19617)Instruction limit reached!
% 1.74/1.45 % (19617)------------------------------
% 1.74/1.45 % (19617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.45 % (19617)Termination reason: Unknown
% 1.74/1.45 % (19617)Termination phase: Saturation
% 1.74/1.45
% 1.74/1.45 % (19617)Memory used [KB]: 5628
% 1.74/1.45 % (19617)Time elapsed: 0.012 s
% 1.74/1.45 % (19617)Instructions burned: 30 (million)
% 1.74/1.45 % (19617)------------------------------
% 1.74/1.45 % (19617)------------------------------
% 1.74/1.45 % (19618)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_19310 for (2998ds/127Mi)
% 1.74/1.46 % (19619)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_19310 for (2998ds/100Mi)
% 1.74/1.47 % (19619)Refutation not found, incomplete strategy
% 1.74/1.47 % (19619)------------------------------
% 1.74/1.47 % (19619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.47 % (19619)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.47
% 1.74/1.47
% 1.74/1.47 % (19619)Memory used [KB]: 5628
% 1.74/1.47 % (19619)Time elapsed: 0.008 s
% 1.74/1.47 % (19619)Instructions burned: 19 (million)
% 1.74/1.47 % (19619)------------------------------
% 1.74/1.47 % (19619)------------------------------
% 1.74/1.48 % (19620)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_19310 for (2998ds/3Mi)
% 1.74/1.48 % (19620)Instruction limit reached!
% 1.74/1.48 % (19620)------------------------------
% 1.74/1.48 % (19620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.48 % (19620)Termination reason: Unknown
% 1.74/1.48 % (19620)Termination phase: Saturation
% 1.74/1.48
% 1.74/1.48 % (19620)Memory used [KB]: 1023
% 1.74/1.48 % (19620)Time elapsed: 0.003 s
% 1.74/1.48 % (19620)Instructions burned: 5 (million)
% 1.74/1.48 % (19620)------------------------------
% 1.74/1.48 % (19620)------------------------------
% 1.74/1.49 % (19621)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_19310 for (2998ds/20Mi)
% 1.74/1.49 % (19618)Instruction limit reached!
% 1.74/1.49 % (19618)------------------------------
% 1.74/1.49 % (19618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.49 % (19618)Termination reason: Unknown
% 1.74/1.49 % (19618)Termination phase: Saturation
% 1.74/1.49
% 1.74/1.49 % (19618)Memory used [KB]: 6140
% 1.74/1.49 % (19618)Time elapsed: 0.041 s
% 1.74/1.49 % (19618)Instructions burned: 127 (million)
% 1.74/1.49 % (19618)------------------------------
% 1.74/1.49 % (19618)------------------------------
% 1.74/1.49 % (19621)Instruction limit reached!
% 1.74/1.49 % (19621)------------------------------
% 1.74/1.49 % (19621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.49 % (19621)Termination reason: Unknown
% 1.74/1.49 % (19621)Termination phase: Saturation
% 1.74/1.49
% 1.74/1.49 % (19621)Memory used [KB]: 5628
% 1.74/1.49 % (19621)Time elapsed: 0.009 s
% 1.74/1.49 % (19621)Instructions burned: 21 (million)
% 1.74/1.49 % (19621)------------------------------
% 1.74/1.49 % (19621)------------------------------
% 1.74/1.50 % (19622)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_19310 for (2998ds/86Mi)
% 1.74/1.50 % (19623)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_19310 for (2998ds/107Mi)
% 1.74/1.53 % (19622)Instruction limit reached!
% 1.74/1.53 % (19622)------------------------------
% 1.74/1.53 % (19622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.53 % (19622)Termination reason: Unknown
% 1.74/1.53 % (19622)Termination phase: Saturation
% 1.74/1.53
% 1.74/1.53 % (19622)Memory used [KB]: 6012
% 1.74/1.53 % (19622)Time elapsed: 0.051 s
% 1.74/1.53 % (19622)Instructions burned: 88 (million)
% 1.74/1.53 % (19622)------------------------------
% 1.74/1.53 % (19622)------------------------------
% 1.74/1.54 % (19623)Instruction limit reached!
% 1.74/1.54 % (19623)------------------------------
% 1.74/1.54 % (19623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.54 % (19623)Termination reason: Unknown
% 1.74/1.54 % (19623)Termination phase: Saturation
% 1.74/1.54
% 1.74/1.54 % (19623)Memory used [KB]: 5756
% 1.74/1.54 % (19623)Time elapsed: 0.034 s
% 1.74/1.54 % (19623)Instructions burned: 108 (million)
% 1.74/1.54 % (19623)------------------------------
% 1.74/1.54 % (19623)------------------------------
% 1.74/1.54 % (19624)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_19310 for (2998ds/39Mi)
% 1.74/1.55 % (19625)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_19310 for (2997ds/448Mi)
% 1.74/1.55 % (19611)Instruction limit reached!
% 1.74/1.55 % (19611)------------------------------
% 1.74/1.55 % (19611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.55 % (19611)Termination reason: Unknown
% 1.74/1.55 % (19611)Termination phase: Saturation
% 1.74/1.55
% 1.74/1.55 % (19611)Memory used [KB]: 6140
% 1.74/1.55 % (19611)Time elapsed: 0.139 s
% 1.74/1.55 % (19611)Instructions burned: 378 (million)
% 1.74/1.55 % (19611)------------------------------
% 1.74/1.55 % (19611)------------------------------
% 1.74/1.55 % (19624)Instruction limit reached!
% 1.74/1.55 % (19624)------------------------------
% 1.74/1.55 % (19624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.55 % (19624)Termination reason: Unknown
% 1.74/1.55 % (19624)Termination phase: Saturation
% 1.74/1.55
% 1.74/1.55 % (19624)Memory used [KB]: 5756
% 1.74/1.55 % (19624)Time elapsed: 0.038 s
% 1.74/1.55 % (19624)Instructions burned: 41 (million)
% 1.74/1.55 % (19624)------------------------------
% 1.74/1.55 % (19624)------------------------------
% 1.74/1.56 % (19626)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_19310 for (2997ds/46Mi)
% 1.74/1.56 % (19627)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_19310 for (2997ds/98Mi)
% 1.74/1.58 % (19626)Instruction limit reached!
% 1.74/1.58 % (19626)------------------------------
% 1.74/1.58 % (19626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.58 % (19626)Termination reason: Unknown
% 1.74/1.58 % (19626)Termination phase: Saturation
% 1.74/1.58
% 1.74/1.58 % (19626)Memory used [KB]: 5628
% 1.74/1.58 % (19626)Time elapsed: 0.039 s
% 1.74/1.58 % (19626)Instructions burned: 48 (million)
% 1.74/1.58 % (19626)------------------------------
% 1.74/1.58 % (19626)------------------------------
% 1.74/1.59 % (19628)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_19310 for (2997ds/507Mi)
% 1.74/1.59 % (19628)Refutation not found, incomplete strategy
% 1.74/1.59 % (19628)------------------------------
% 1.74/1.59 % (19628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.59 % (19628)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.59
% 1.74/1.59
% 1.74/1.59 % (19628)Memory used [KB]: 5500
% 1.74/1.59 % (19628)Time elapsed: 0.004 s
% 1.74/1.59 % (19628)Instructions burned: 7 (million)
% 1.74/1.59 % (19628)------------------------------
% 1.74/1.59 % (19628)------------------------------
% 1.74/1.59 % (19627)Instruction limit reached!
% 1.74/1.59 % (19627)------------------------------
% 1.74/1.59 % (19627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.59 % (19627)Termination reason: Unknown
% 1.74/1.59 % (19627)Termination phase: Saturation
% 1.74/1.59
% 1.74/1.59 % (19627)Memory used [KB]: 1279
% 1.74/1.59 % (19627)Time elapsed: 0.055 s
% 1.74/1.59 % (19627)Instructions burned: 99 (million)
% 1.74/1.59 % (19627)------------------------------
% 1.74/1.59 % (19627)------------------------------
% 1.74/1.60 % (19629)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_19310 for (2997ds/149Mi)
% 1.74/1.60 % (19630)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_19310 for (2997ds/39Mi)
% 1.74/1.62 % (19630)Instruction limit reached!
% 1.74/1.62 % (19630)------------------------------
% 1.74/1.62 % (19630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.62 % (19630)Termination reason: Unknown
% 1.74/1.62 % (19630)Termination phase: Saturation
% 1.74/1.62
% 1.74/1.62 % (19630)Memory used [KB]: 5628
% 1.74/1.62 % (19630)Time elapsed: 0.015 s
% 1.74/1.62 % (19630)Instructions burned: 40 (million)
% 1.74/1.62 % (19630)------------------------------
% 1.74/1.62 % (19630)------------------------------
% 1.74/1.62 % (19605)Instruction limit reached!
% 1.74/1.62 % (19605)------------------------------
% 1.74/1.62 % (19605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.62 % (19605)Termination reason: Unknown
% 1.74/1.62 % (19605)Termination phase: Saturation
% 1.74/1.62
% 1.74/1.62 % (19605)Memory used [KB]: 7164
% 1.74/1.62 % (19605)Time elapsed: 0.229 s
% 1.74/1.62 % (19605)Instructions burned: 711 (million)
% 1.74/1.62 % (19605)------------------------------
% 1.74/1.62 % (19605)------------------------------
% 1.74/1.63 % (19631)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_19310 for (2996ds/6Mi)
% 1.74/1.63 % (19631)Instruction limit reached!
% 1.74/1.63 % (19631)------------------------------
% 1.74/1.63 % (19631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.63 % (19631)Termination reason: Unknown
% 1.74/1.63 % (19631)Termination phase: Saturation
% 1.74/1.63
% 1.74/1.63 % (19631)Memory used [KB]: 9978
% 1.74/1.63 % (19631)Time elapsed: 0.004 s
% 1.74/1.63 % (19631)Instructions burned: 6 (million)
% 1.74/1.63 % (19631)------------------------------
% 1.74/1.63 % (19631)------------------------------
% 1.74/1.63 % (19632)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_19310 for (2996ds/1087Mi)
% 1.74/1.64 % (19632)Refutation not found, incomplete strategy
% 1.74/1.64 % (19632)------------------------------
% 1.74/1.64 % (19632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.64 % (19632)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.64
% 1.74/1.64
% 1.74/1.64 % (19632)Memory used [KB]: 5628
% 1.74/1.64 % (19632)Time elapsed: 0.008 s
% 1.74/1.64 % (19632)Instructions burned: 17 (million)
% 1.74/1.64 % (19632)------------------------------
% 1.74/1.64 % (19632)------------------------------
% 1.74/1.64 % (19633)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_19310 for (2996ds/47Mi)
% 1.74/1.65 % (19634)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_19310 for (2996ds/44Mi)
% 1.74/1.65 % (19629)Instruction limit reached!
% 1.74/1.65 % (19629)------------------------------
% 1.74/1.65 % (19629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.65 % (19629)Termination reason: Unknown
% 1.74/1.65 % (19629)Termination phase: Saturation
% 1.74/1.65
% 1.74/1.65 % (19629)Memory used [KB]: 6012
% 1.74/1.65 % (19629)Time elapsed: 0.074 s
% 1.74/1.65 % (19629)Instructions burned: 150 (million)
% 1.74/1.65 % (19629)------------------------------
% 1.74/1.65 % (19629)------------------------------
% 1.74/1.65 % (19633)Instruction limit reached!
% 1.74/1.65 % (19633)------------------------------
% 1.74/1.65 % (19633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.65 % (19633)Termination reason: Unknown
% 1.74/1.65 % (19633)Termination phase: Saturation
% 1.74/1.65
% 1.74/1.65 % (19633)Memory used [KB]: 5756
% 1.74/1.65 % (19633)Time elapsed: 0.017 s
% 1.74/1.65 % (19633)Instructions burned: 47 (million)
% 1.74/1.65 % (19633)------------------------------
% 1.74/1.65 % (19633)------------------------------
% 1.74/1.66 % (19635)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_19310 for (2996ds/432Mi)
% 1.74/1.66 % (19634)Instruction limit reached!
% 1.74/1.66 % (19634)------------------------------
% 1.74/1.66 % (19634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.66 % (19634)Termination reason: Unknown
% 1.74/1.66 % (19634)Termination phase: Saturation
% 1.74/1.66
% 1.74/1.66 % (19634)Memory used [KB]: 1151
% 1.74/1.66 % (19634)Time elapsed: 0.016 s
% 1.74/1.66 % (19634)Instructions burned: 44 (million)
% 1.74/1.66 % (19634)------------------------------
% 1.74/1.66 % (19634)------------------------------
% 1.74/1.66 % (19636)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_19310 for (2996ds/62Mi)
% 1.74/1.67 % (19614)Instruction limit reached!
% 1.74/1.67 % (19614)------------------------------
% 1.74/1.67 % (19614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.67 % (19614)Termination reason: Unknown
% 1.74/1.67 % (19614)Termination phase: Saturation
% 1.74/1.67
% 1.74/1.67 % (19614)Memory used [KB]: 6652
% 1.74/1.67 % (19614)Time elapsed: 0.259 s
% 1.74/1.67 % (19614)Instructions burned: 879 (million)
% 1.74/1.67 % (19614)------------------------------
% 1.74/1.67 % (19614)------------------------------
% 1.74/1.67 % (19637)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_19310 for (2996ds/31Mi)
% 1.74/1.67 % (19612)Instruction limit reached!
% 1.74/1.67 % (19612)------------------------------
% 1.74/1.67 % (19612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.67 % (19612)Termination reason: Unknown
% 1.74/1.67 % (19612)Termination phase: Saturation
% 1.74/1.67
% 1.74/1.67 % (19612)Memory used [KB]: 6396
% 1.74/1.67 % (19612)Time elapsed: 0.261 s
% 1.74/1.67 % (19612)Instructions burned: 779 (million)
% 1.74/1.67 % (19612)------------------------------
% 1.74/1.67 % (19612)------------------------------
% 1.74/1.68 % (19625)Instruction limit reached!
% 1.74/1.68 % (19625)------------------------------
% 1.74/1.68 % (19625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.68 % (19625)Termination reason: Unknown
% 1.74/1.68 % (19625)Termination phase: Saturation
% 1.74/1.68
% 1.74/1.68 % (19625)Memory used [KB]: 6524
% 1.74/1.68 % (19625)Time elapsed: 0.156 s
% 1.74/1.68 % (19625)Instructions burned: 449 (million)
% 1.74/1.68 % (19625)------------------------------
% 1.74/1.68 % (19625)------------------------------
% 1.74/1.68 % (19638)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_19310 for (2996ds/96Mi)
% 1.74/1.68 % (19637)Instruction limit reached!
% 1.74/1.68 % (19637)------------------------------
% 1.74/1.68 % (19637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.68 % (19637)Termination reason: Unknown
% 1.74/1.68 % (19637)Termination phase: Saturation
% 1.74/1.68
% 1.74/1.68 % (19637)Memory used [KB]: 5756
% 1.74/1.68 % (19637)Time elapsed: 0.013 s
% 1.74/1.68 % (19637)Instructions burned: 33 (million)
% 1.74/1.68 % (19637)------------------------------
% 1.74/1.68 % (19637)------------------------------
% 1.74/1.68 % (19639)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_19310 for (2996ds/453Mi)
% 1.74/1.69 % (19636)Instruction limit reached!
% 1.74/1.69 % (19636)------------------------------
% 1.74/1.69 % (19636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.69 % (19636)Termination reason: Unknown
% 1.74/1.69 % (19636)Termination phase: Saturation
% 1.74/1.69
% 1.74/1.69 % (19636)Memory used [KB]: 5884
% 1.74/1.69 % (19636)Time elapsed: 0.023 s
% 1.74/1.69 % (19636)Instructions burned: 63 (million)
% 1.74/1.69 % (19636)------------------------------
% 1.74/1.69 % (19636)------------------------------
% 1.74/1.69 % (19640)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_19310 for (2996ds/71Mi)
% 1.74/1.69 % (19641)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_19310 for (2996ds/83Mi)
% 1.74/1.69 % (19639)Refutation not found, incomplete strategy
% 1.74/1.69 % (19639)------------------------------
% 1.74/1.69 % (19639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.69 % (19639)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.69
% 1.74/1.69
% 1.74/1.69 % (19639)Memory used [KB]: 5628
% 1.74/1.69 % (19639)Time elapsed: 0.012 s
% 1.74/1.69 % (19639)Instructions burned: 30 (million)
% 1.74/1.69 % (19639)------------------------------
% 1.74/1.69 % (19639)------------------------------
% 1.74/1.70 % (19642)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_19310 for (2996ds/11Mi)
% 1.74/1.70 % (19642)Instruction limit reached!
% 1.74/1.70 % (19642)------------------------------
% 1.74/1.70 % (19642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.70 % (19642)Termination reason: Unknown
% 1.74/1.70 % (19642)Termination phase: Saturation
% 1.74/1.70
% 1.74/1.70 % (19642)Memory used [KB]: 5628
% 1.74/1.70 % (19642)Time elapsed: 0.006 s
% 1.74/1.70 % (19642)Instructions burned: 12 (million)
% 1.74/1.70 % (19642)------------------------------
% 1.74/1.70 % (19642)------------------------------
% 1.74/1.71 % (19643)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_19310 for (2996ds/41Mi)
% 1.74/1.71 % (19644)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_19310 for (2996ds/6Mi)
% 1.74/1.71 % (19640)Instruction limit reached!
% 1.74/1.71 % (19640)------------------------------
% 1.74/1.71 % (19640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.71 % (19640)Termination reason: Unknown
% 1.74/1.71 % (19640)Termination phase: Saturation
% 1.74/1.71
% 1.74/1.71 % (19640)Memory used [KB]: 5884
% 1.74/1.71 % (19640)Time elapsed: 0.024 s
% 1.74/1.71 % (19640)Instructions burned: 72 (million)
% 1.74/1.71 % (19640)------------------------------
% 1.74/1.71 % (19640)------------------------------
% 1.74/1.71 % (19644)Instruction limit reached!
% 1.74/1.71 % (19644)------------------------------
% 1.74/1.71 % (19644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.71 % (19644)Termination reason: Unknown
% 1.74/1.71 % (19644)Termination phase: Saturation
% 1.74/1.71
% 1.74/1.71 % (19644)Memory used [KB]: 5500
% 1.74/1.71 % (19644)Time elapsed: 0.004 s
% 1.74/1.71 % (19644)Instructions burned: 7 (million)
% 1.74/1.71 % (19644)------------------------------
% 1.74/1.71 % (19644)------------------------------
% 1.74/1.71 % (19638)Instruction limit reached!
% 1.74/1.71 % (19638)------------------------------
% 1.74/1.71 % (19638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.71 % (19638)Termination reason: Unknown
% 1.74/1.71 % (19638)Termination phase: Saturation
% 1.74/1.71
% 1.74/1.71 % (19638)Memory used [KB]: 5756
% 1.74/1.71 % (19638)Time elapsed: 0.033 s
% 1.74/1.71 % (19638)Instructions burned: 97 (million)
% 1.74/1.71 % (19638)------------------------------
% 1.74/1.71 % (19638)------------------------------
% 1.74/1.72 % (19643)Instruction limit reached!
% 1.74/1.72 % (19643)------------------------------
% 1.74/1.72 % (19643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.72 % (19643)Termination reason: Unknown
% 1.74/1.72 % (19643)Termination phase: Saturation
% 1.74/1.72
% 1.74/1.72 % (19643)Memory used [KB]: 5628
% 1.74/1.72 % (19643)Time elapsed: 0.015 s
% 1.74/1.72 % (19643)Instructions burned: 41 (million)
% 1.74/1.72 % (19643)------------------------------
% 1.74/1.72 % (19643)------------------------------
% 1.74/1.72 % (19641)Instruction limit reached!
% 1.74/1.72 % (19641)------------------------------
% 1.74/1.72 % (19641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.72 % (19641)Termination reason: Unknown
% 1.74/1.72 % (19641)Termination phase: Saturation
% 1.74/1.72
% 1.74/1.72 % (19641)Memory used [KB]: 5884
% 1.74/1.72 % (19641)Time elapsed: 0.028 s
% 1.74/1.72 % (19641)Instructions burned: 83 (million)
% 1.74/1.72 % (19641)------------------------------
% 1.74/1.72 % (19641)------------------------------
% 1.74/1.72 % (19645)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_19310 for (2996ds/150Mi)
% 1.74/1.72 % (19646)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_19310 for (2996ds/343Mi)
% 1.74/1.72 % (19647)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_19310 for (2996ds/109Mi)
% 1.74/1.73 % (19596)Instruction limit reached!
% 1.74/1.73 % (19596)------------------------------
% 1.74/1.73 % (19596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.73 % (19596)Termination reason: Unknown
% 1.74/1.73 % (19596)Termination phase: Saturation
% 1.74/1.73
% 1.74/1.73 % (19596)Memory used [KB]: 7164
% 1.74/1.73 % (19596)Time elapsed: 0.370 s
% 1.74/1.73 % (19596)Instructions burned: 1043 (million)
% 1.74/1.73 % (19596)------------------------------
% 1.74/1.73 % (19596)------------------------------
% 1.74/1.73 % (19648)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_19310 for (2996ds/253Mi)
% 1.74/1.73 % (19649)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_19310 for (2996ds/140Mi)
% 1.74/1.74 % (19650)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_19310 for (2996ds/614Mi)
% 1.74/1.74 % (19646)Refutation not found, incomplete strategy
% 1.74/1.74 % (19646)------------------------------
% 1.74/1.74 % (19646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.74 % (19646)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.74
% 1.74/1.74
% 1.74/1.74 % (19646)Memory used [KB]: 5756
% 1.74/1.74 % (19646)Time elapsed: 0.021 s
% 1.74/1.74 % (19646)Instructions burned: 59 (million)
% 1.74/1.74 % (19646)------------------------------
% 1.74/1.74 % (19646)------------------------------
% 1.74/1.75 % (19648)Refutation not found, incomplete strategy
% 1.74/1.75 % (19648)------------------------------
% 1.74/1.75 % (19648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.75 % (19648)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.75
% 1.74/1.75
% 1.74/1.75 % (19648)Memory used [KB]: 5756
% 1.74/1.75 % (19648)Time elapsed: 0.019 s
% 1.74/1.75 % (19648)Instructions burned: 52 (million)
% 1.74/1.75 % (19648)------------------------------
% 1.74/1.75 % (19648)------------------------------
% 1.74/1.75 % (19651)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_19310 for (2995ds/202Mi)
% 1.74/1.75 % (19647)Instruction limit reached!
% 1.74/1.75 % (19647)------------------------------
% 1.74/1.75 % (19647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.75 % (19647)Termination reason: Unknown
% 1.74/1.75 % (19647)Termination phase: Saturation
% 1.74/1.75
% 1.74/1.75 % (19647)Memory used [KB]: 6012
% 1.74/1.75 % (19647)Time elapsed: 0.033 s
% 1.74/1.75 % (19647)Instructions burned: 109 (million)
% 1.74/1.75 % (19647)------------------------------
% 1.74/1.75 % (19647)------------------------------
% 1.74/1.76 % (19651)Refutation not found, incomplete strategy
% 1.74/1.76 % (19651)------------------------------
% 1.74/1.76 % (19651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.76 % (19651)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.76
% 1.74/1.76
% 1.74/1.76 % (19651)Memory used [KB]: 5500
% 1.74/1.76 % (19651)Time elapsed: 0.004 s
% 1.74/1.76 % (19651)Instructions burned: 6 (million)
% 1.74/1.76 % (19651)------------------------------
% 1.74/1.76 % (19651)------------------------------
% 1.74/1.76 % (19652)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_19310 for (2995ds/339Mi)
% 1.74/1.76 % (19653)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_19310 for (2995ds/283Mi)
% 1.74/1.76 % (19645)Instruction limit reached!
% 1.74/1.76 % (19645)------------------------------
% 1.74/1.76 % (19645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.76 % (19645)Termination reason: Unknown
% 1.74/1.76 % (19645)Termination phase: Saturation
% 1.74/1.76
% 1.74/1.76 % (19645)Memory used [KB]: 5884
% 1.74/1.76 % (19645)Time elapsed: 0.045 s
% 1.74/1.76 % (19645)Instructions burned: 153 (million)
% 1.74/1.76 % (19645)------------------------------
% 1.74/1.76 % (19645)------------------------------
% 1.74/1.77 % (19654)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_19310 for (2995ds/134Mi)
% 1.74/1.77 % (19652)Refutation not found, incomplete strategy
% 1.74/1.77 % (19652)------------------------------
% 1.74/1.77 % (19652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.77 % (19652)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.77
% 1.74/1.77
% 1.74/1.77 % (19652)Memory used [KB]: 5628
% 1.74/1.77 % (19652)Time elapsed: 0.012 s
% 1.74/1.77 % (19652)Instructions burned: 29 (million)
% 1.74/1.77 % (19652)------------------------------
% 1.74/1.77 % (19652)------------------------------
% 1.74/1.77 % (19649)Instruction limit reached!
% 1.74/1.77 % (19649)------------------------------
% 1.74/1.77 % (19649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.77 % (19649)Termination reason: Unknown
% 1.74/1.77 % (19649)Termination phase: Saturation
% 1.74/1.77
% 1.74/1.77 % (19649)Memory used [KB]: 5756
% 1.74/1.77 % (19649)Time elapsed: 0.045 s
% 1.74/1.77 % (19649)Instructions burned: 141 (million)
% 1.74/1.77 % (19649)------------------------------
% 1.74/1.77 % (19649)------------------------------
% 1.74/1.77 % (19655)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_19310 for (2995ds/298Mi)
% 1.74/1.78 % (19656)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_19310 for (2995ds/192Mi)
% 1.74/1.78 % (19657)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_19310 for (2995ds/258Mi)
% 1.74/1.79 % (19635)Instruction limit reached!
% 1.74/1.79 % (19635)------------------------------
% 1.74/1.79 % (19635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.79 % (19635)Termination reason: Unknown
% 1.74/1.79 % (19635)Termination phase: Saturation
% 1.74/1.79
% 1.74/1.79 % (19635)Memory used [KB]: 5245
% 1.74/1.79 % (19635)Time elapsed: 0.134 s
% 1.74/1.79 % (19635)Instructions burned: 433 (million)
% 1.74/1.79 % (19635)------------------------------
% 1.74/1.79 % (19635)------------------------------
% 1.74/1.80 % (19658)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_19310 for (2995ds/90Mi)
% 1.74/1.81 % (19654)Instruction limit reached!
% 1.74/1.81 % (19654)------------------------------
% 1.74/1.81 % (19654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.81 % (19654)Termination reason: Unknown
% 1.74/1.81 % (19654)Termination phase: Saturation
% 1.74/1.81
% 1.74/1.81 % (19654)Memory used [KB]: 6268
% 1.74/1.81 % (19654)Time elapsed: 0.045 s
% 1.74/1.81 % (19654)Instructions burned: 135 (million)
% 1.74/1.81 % (19654)------------------------------
% 1.74/1.81 % (19654)------------------------------
% 1.74/1.82 % (19659)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_19310 for (2995ds/231Mi)
% 1.74/1.83 % (19658)Instruction limit reached!
% 1.74/1.83 % (19658)------------------------------
% 1.74/1.83 % (19658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.83 % (19658)Termination reason: Unknown
% 1.74/1.83 % (19658)Termination phase: Saturation
% 1.74/1.83
% 1.74/1.83 % (19658)Memory used [KB]: 5884
% 1.74/1.83 % (19658)Time elapsed: 0.032 s
% 1.74/1.83 % (19658)Instructions burned: 91 (million)
% 1.74/1.83 % (19658)------------------------------
% 1.74/1.83 % (19658)------------------------------
% 1.74/1.84 % (19656)Instruction limit reached!
% 1.74/1.84 % (19656)------------------------------
% 1.74/1.84 % (19656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.84 % (19656)Termination reason: Unknown
% 1.74/1.84 % (19656)Termination phase: Saturation
% 1.74/1.84
% 1.74/1.84 % (19656)Memory used [KB]: 6396
% 1.74/1.84 % (19656)Time elapsed: 0.060 s
% 1.74/1.84 % (19656)Instructions burned: 193 (million)
% 1.74/1.84 % (19656)------------------------------
% 1.74/1.84 % (19656)------------------------------
% 1.74/1.84 % (19660)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_19310 for (2995ds/458Mi)
% 1.74/1.85 % (19661)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_19310 for (2994ds/31Mi)
% 1.74/1.85 % (19653)Instruction limit reached!
% 1.74/1.85 % (19653)------------------------------
% 1.74/1.85 % (19653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.85 % (19653)Termination reason: Unknown
% 1.74/1.85 % (19653)Termination phase: Saturation
% 1.74/1.85
% 1.74/1.85 % (19653)Memory used [KB]: 7547
% 1.74/1.85 % (19653)Time elapsed: 0.084 s
% 1.74/1.85 % (19653)Instructions burned: 286 (million)
% 1.74/1.85 % (19653)------------------------------
% 1.74/1.85 % (19653)------------------------------
% 1.74/1.85 % (19660)Refutation not found, incomplete strategy
% 1.74/1.85 % (19660)------------------------------
% 1.74/1.85 % (19660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.85 % (19660)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.85
% 1.74/1.85
% 1.74/1.85 % (19660)Memory used [KB]: 5628
% 1.74/1.85 % (19660)Time elapsed: 0.009 s
% 1.74/1.85 % (19660)Instructions burned: 21 (million)
% 1.74/1.85 % (19660)------------------------------
% 1.74/1.85 % (19660)------------------------------
% 1.74/1.86 % (19661)Instruction limit reached!
% 1.74/1.86 % (19661)------------------------------
% 1.74/1.86 % (19661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.86 % (19661)Termination reason: Unknown
% 1.74/1.86 % (19661)Termination phase: Saturation
% 1.74/1.86
% 1.74/1.86 % (19661)Memory used [KB]: 5628
% 1.74/1.86 % (19661)Time elapsed: 0.032 s
% 1.74/1.86 % (19661)Instructions burned: 32 (million)
% 1.74/1.86 % (19661)------------------------------
% 1.74/1.86 % (19661)------------------------------
% 1.74/1.86 % (19662)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_19310 for (2994ds/297Mi)
% 1.74/1.86 % (19657)Instruction limit reached!
% 1.74/1.86 % (19657)------------------------------
% 1.74/1.86 % (19657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.86 % (19657)Termination reason: Unknown
% 1.74/1.86 % (19657)Termination phase: Saturation
% 1.74/1.86
% 1.74/1.86 % (19657)Memory used [KB]: 6012
% 1.74/1.86 % (19657)Time elapsed: 0.076 s
% 1.74/1.86 % (19657)Instructions burned: 260 (million)
% 1.74/1.86 % (19657)------------------------------
% 1.74/1.86 % (19657)------------------------------
% 1.74/1.86 % (19663)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_19310 for (2994ds/987Mi)
% 1.74/1.86 % (19655)Instruction limit reached!
% 1.74/1.86 % (19655)------------------------------
% 1.74/1.86 % (19655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.86 % (19655)Termination reason: Unknown
% 1.74/1.86 % (19655)Termination phase: Saturation
% 1.74/1.86
% 1.74/1.86 % (19655)Memory used [KB]: 6268
% 1.74/1.86 % (19655)Time elapsed: 0.089 s
% 1.74/1.86 % (19655)Instructions burned: 298 (million)
% 1.74/1.86 % (19655)------------------------------
% 1.74/1.86 % (19655)------------------------------
% 1.74/1.87 % (19664)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_19310 for (2994ds/182Mi)
% 1.74/1.87 % (19665)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_19310 for (2994ds/182Mi)
% 1.74/1.87 % (19666)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_19310 for (2994ds/154Mi)
% 1.74/1.89 % (19659)Instruction limit reached!
% 1.74/1.89 % (19659)------------------------------
% 1.74/1.89 % (19659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.89 % (19659)Termination reason: Unknown
% 1.74/1.89 % (19659)Termination phase: Saturation
% 1.74/1.89
% 1.74/1.89 % (19659)Memory used [KB]: 6140
% 1.74/1.89 % (19659)Time elapsed: 0.091 s
% 1.74/1.89 % (19659)Instructions burned: 231 (million)
% 1.74/1.89 % (19659)------------------------------
% 1.74/1.89 % (19659)------------------------------
% 1.74/1.90 % (19667)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_19310 for (2994ds/79Mi)
% 1.74/1.91 % (19650)Instruction limit reached!
% 1.74/1.91 % (19650)------------------------------
% 1.74/1.91 % (19650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.91 % (19650)Termination reason: Unknown
% 1.74/1.91 % (19650)Termination phase: Saturation
% 1.74/1.91
% 1.74/1.91 % (19650)Memory used [KB]: 6524
% 1.74/1.91 % (19650)Time elapsed: 0.175 s
% 1.74/1.91 % (19650)Instructions burned: 614 (million)
% 1.74/1.91 % (19650)------------------------------
% 1.74/1.91 % (19650)------------------------------
% 1.74/1.92 % (19664)Instruction limit reached!
% 1.74/1.92 % (19664)------------------------------
% 1.74/1.92 % (19664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.92 % (19664)Termination reason: Unknown
% 1.74/1.92 % (19664)Termination phase: Saturation
% 1.74/1.92
% 1.74/1.92 % (19664)Memory used [KB]: 6140
% 1.74/1.92 % (19664)Time elapsed: 0.076 s
% 1.74/1.92 % (19664)Instructions burned: 185 (million)
% 1.74/1.92 % (19664)------------------------------
% 1.74/1.92 % (19664)------------------------------
% 1.74/1.92 % (19666)Instruction limit reached!
% 1.74/1.92 % (19666)------------------------------
% 1.74/1.92 % (19666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.92 % (19666)Termination reason: Unknown
% 1.74/1.92 % (19666)Termination phase: Saturation
% 1.74/1.92
% 1.74/1.92 % (19666)Memory used [KB]: 5884
% 1.74/1.92 % (19666)Time elapsed: 0.070 s
% 1.74/1.92 % (19666)Instructions burned: 156 (million)
% 1.74/1.92 % (19666)------------------------------
% 1.74/1.92 % (19666)------------------------------
% 1.74/1.92 % (19668)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_19310 for (2994ds/216Mi)
% 1.74/1.92 % (19667)Instruction limit reached!
% 1.74/1.92 % (19667)------------------------------
% 1.74/1.92 % (19667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.92 % (19667)Termination reason: Unknown
% 1.74/1.92 % (19667)Termination phase: Saturation
% 1.74/1.92
% 1.74/1.92 % (19667)Memory used [KB]: 5756
% 1.74/1.92 % (19667)Time elapsed: 0.051 s
% 1.74/1.92 % (19667)Instructions burned: 79 (million)
% 1.74/1.92 % (19667)------------------------------
% 1.74/1.92 % (19667)------------------------------
% 1.74/1.92 % (19665)Instruction limit reached!
% 1.74/1.92 % (19665)------------------------------
% 1.74/1.92 % (19665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.92 % (19665)Termination reason: Unknown
% 1.74/1.92 % (19665)Termination phase: Saturation
% 1.74/1.92
% 1.74/1.92 % (19665)Memory used [KB]: 5884
% 1.74/1.92 % (19665)Time elapsed: 0.081 s
% 1.74/1.92 % (19665)Instructions burned: 184 (million)
% 1.74/1.92 % (19665)------------------------------
% 1.74/1.92 % (19665)------------------------------
% 1.74/1.93 % (19669)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_19310 for (2994ds/114Mi)
% 1.74/1.93 % (19670)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_19310 for (2994ds/922Mi)
% 1.74/1.93 % (19671)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_19310 for (2993ds/182Mi)
% 1.74/1.93 % (19672)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_19310 for (2993ds/164Mi)
% 1.74/1.93 % (19672)Refutation not found, incomplete strategy
% 1.74/1.93 % (19672)------------------------------
% 1.74/1.93 % (19672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.93 % (19672)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.93
% 1.74/1.93
% 1.74/1.93 % (19672)Memory used [KB]: 1023
% 1.74/1.93 % (19672)Time elapsed: 0.003 s
% 1.74/1.93 % (19672)Instructions burned: 6 (million)
% 1.74/1.93 % (19672)------------------------------
% 1.74/1.93 % (19672)------------------------------
% 1.74/1.93 % (19670)Refutation not found, incomplete strategy
% 1.74/1.93 % (19670)------------------------------
% 1.74/1.93 % (19670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.93 % (19670)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.93
% 1.74/1.93
% 1.74/1.93 % (19670)Memory used [KB]: 5628
% 1.74/1.93 % (19670)Time elapsed: 0.009 s
% 1.74/1.93 % (19670)Instructions burned: 25 (million)
% 1.74/1.93 % (19670)------------------------------
% 1.74/1.93 % (19670)------------------------------
% 1.74/1.94 % (19674)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_19310 for (2993ds/368Mi)
% 1.74/1.95 % (19662)Instruction limit reached!
% 1.74/1.95 % (19662)------------------------------
% 1.74/1.95 % (19662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.95 % (19662)Termination reason: Unknown
% 1.74/1.95 % (19662)Termination phase: Saturation
% 1.74/1.95
% 1.74/1.95 % (19662)Memory used [KB]: 6268
% 1.74/1.95 % (19662)Time elapsed: 0.114 s
% 1.74/1.95 % (19662)Instructions burned: 298 (million)
% 1.74/1.95 % (19662)------------------------------
% 1.74/1.95 % (19662)------------------------------
% 1.74/1.95 % (19673)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_19310 for (2993ds/50Mi)
% 1.74/1.96 % (19675)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_19310 for (2993ds/1021Mi)
% 1.74/1.96 % (19669)Instruction limit reached!
% 1.74/1.96 % (19669)------------------------------
% 1.74/1.96 % (19669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.96 % (19669)Termination reason: Unknown
% 1.74/1.96 % (19669)Termination phase: Saturation
% 1.74/1.96
% 1.74/1.96 % (19669)Memory used [KB]: 6140
% 1.74/1.96 % (19669)Time elapsed: 0.034 s
% 1.74/1.96 % (19669)Instructions burned: 117 (million)
% 1.74/1.96 % (19669)------------------------------
% 1.74/1.96 % (19669)------------------------------
% 1.74/1.97 % (19676)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_19310 for (2993ds/267Mi)
% 1.74/1.98 % (19673)Instruction limit reached!
% 1.74/1.98 % (19673)------------------------------
% 1.74/1.98 % (19673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.98 % (19673)Termination reason: Unknown
% 1.74/1.98 % (19673)Termination phase: Saturation
% 1.74/1.98
% 1.74/1.98 % (19673)Memory used [KB]: 10234
% 1.74/1.98 % (19673)Time elapsed: 0.033 s
% 1.74/1.98 % (19673)Instructions burned: 50 (million)
% 1.74/1.98 % (19673)------------------------------
% 1.74/1.98 % (19673)------------------------------
% 1.74/1.98 % (19671)Instruction limit reached!
% 1.74/1.98 % (19671)------------------------------
% 1.74/1.98 % (19671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.98 % (19671)Termination reason: Unknown
% 1.74/1.98 % (19671)Termination phase: Saturation
% 1.74/1.98
% 1.74/1.98 % (19671)Memory used [KB]: 5756
% 1.74/1.98 % (19671)Time elapsed: 0.054 s
% 1.74/1.98 % (19671)Instructions burned: 183 (million)
% 1.74/1.98 % (19671)------------------------------
% 1.74/1.98 % (19671)------------------------------
% 1.74/1.99 % (19668)Instruction limit reached!
% 1.74/1.99 % (19668)------------------------------
% 1.74/1.99 % (19668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.99 % (19668)Termination reason: Unknown
% 1.74/1.99 % (19668)Termination phase: Saturation
% 1.74/1.99
% 1.74/1.99 % (19668)Memory used [KB]: 5756
% 1.74/1.99 % (19668)Time elapsed: 0.095 s
% 1.74/1.99 % (19668)Instructions burned: 216 (million)
% 1.74/1.99 % (19668)------------------------------
% 1.74/1.99 % (19668)------------------------------
% 1.74/1.99 % (19678)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_19310 for (2993ds/26Mi)
% 1.74/2.00 % (19679)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_19310 for (2993ds/53Mi)
% 1.74/2.00 % (19678)Instruction limit reached!
% 1.74/2.00 % (19678)------------------------------
% 1.74/2.00 % (19678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/2.00 % (19678)Termination reason: Unknown
% 1.74/2.00 % (19678)Termination phase: Saturation
% 1.74/2.00
% 1.74/2.00 % (19678)Memory used [KB]: 5628
% 1.74/2.00 % (19678)Time elapsed: 0.009 s
% 1.74/2.00 % (19677)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_19310 for (2993ds/204Mi)
% 1.74/2.00 % (19678)Instructions burned: 26 (million)
% 1.74/2.00 % (19678)------------------------------
% 1.74/2.00 % (19678)------------------------------
% 1.74/2.01 % (19680)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_19310 for (2993ds/4436Mi)
% 6.53/2.01 % (19679)Instruction limit reached!
% 6.53/2.01 % (19679)------------------------------
% 6.53/2.01 % (19679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.53/2.01 % (19679)Termination reason: Unknown
% 6.53/2.01 % (19679)Termination phase: Saturation
% 6.53/2.01
% 6.53/2.01 % (19679)Memory used [KB]: 5628
% 6.53/2.01 % (19679)Time elapsed: 0.017 s
% 6.53/2.01 % (19679)Instructions burned: 53 (million)
% 6.53/2.01 % (19679)------------------------------
% 6.53/2.01 % (19679)------------------------------
% 6.53/2.01 % (19680)Refutation not found, incomplete strategy
% 6.53/2.01 % (19680)------------------------------
% 6.53/2.01 % (19680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.53/2.01 % (19680)Termination reason: Refutation not found, incomplete strategy
% 6.53/2.01
% 6.53/2.01
% 6.53/2.01 % (19680)Memory used [KB]: 5500
% 6.53/2.01 % (19680)Time elapsed: 0.004 s
% 6.53/2.01 % (19680)Instructions burned: 9 (million)
% 6.53/2.01 % (19680)------------------------------
% 6.53/2.01 % (19680)------------------------------
% 6.53/2.02 % (19681)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_19310 for (2993ds/1539Mi)
% 6.53/2.02 % (19682)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_19310 for (2993ds/408Mi)
% 6.53/2.02 % (19682)Refutation not found, incomplete strategy
% 6.53/2.02 % (19682)------------------------------
% 6.53/2.02 % (19682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.53/2.02 % (19682)Termination reason: Refutation not found, incomplete strategy
% 6.53/2.02
% 6.53/2.02
% 6.53/2.02 % (19682)Memory used [KB]: 5500
% 6.53/2.02 % (19682)Time elapsed: 0.002 s
% 6.53/2.02 % (19682)Instructions burned: 3 (million)
% 6.53/2.02 % (19682)------------------------------
% 6.53/2.02 % (19682)------------------------------
% 6.53/2.03 % (19683)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_19310 for (2993ds/5205Mi)
% 6.53/2.05 % (19674)Instruction limit reached!
% 6.53/2.05 % (19674)------------------------------
% 6.53/2.05 % (19674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.53/2.05 % (19674)Termination reason: Unknown
% 6.53/2.05 % (19674)Termination phase: Saturation
% 6.53/2.05
% 6.53/2.05 % (19674)Memory used [KB]: 7547
% 6.53/2.05 % (19674)Time elapsed: 0.106 s
% 6.53/2.05 % (19674)Instructions burned: 370 (million)
% 6.53/2.05 % (19674)------------------------------
% 6.53/2.05 % (19674)------------------------------
% 6.53/2.05 % (19676)Instruction limit reached!
% 6.53/2.05 % (19676)------------------------------
% 6.53/2.05 % (19676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.53/2.05 % (19676)Termination reason: Unknown
% 6.53/2.05 % (19676)Termination phase: Saturation
% 6.53/2.05
% 6.53/2.05 % (19676)Memory used [KB]: 6396
% 6.53/2.05 % (19676)Time elapsed: 0.082 s
% 6.53/2.05 % (19676)Instructions burned: 268 (million)
% 6.53/2.05 % (19676)------------------------------
% 6.53/2.05 % (19676)------------------------------
% 6.53/2.06 % (19684)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_19310 for (2992ds/1913Mi)
% 6.53/2.06 % (19685)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_19310 for (2992ds/4350Mi)
% 6.53/2.08 % (19677)Instruction limit reached!
% 6.53/2.08 % (19677)------------------------------
% 6.53/2.08 % (19677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.53/2.08 % (19677)Termination reason: Unknown
% 6.53/2.08 % (19677)Termination phase: Saturation
% 6.53/2.08
% 6.53/2.08 % (19677)Memory used [KB]: 5884
% 6.53/2.08 % (19677)Time elapsed: 0.086 s
% 6.53/2.08 % (19677)Instructions burned: 204 (million)
% 6.53/2.08 % (19677)------------------------------
% 6.53/2.08 % (19677)------------------------------
% 6.53/2.09 % (19686)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_19310 for (2992ds/68Mi)
% 6.94/2.12 % (19686)Instruction limit reached!
% 6.94/2.12 % (19686)------------------------------
% 6.94/2.12 % (19686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.94/2.12 % (19686)Termination reason: Unknown
% 6.94/2.12 % (19686)Termination phase: Saturation
% 6.94/2.12
% 6.94/2.12 % (19686)Memory used [KB]: 5884
% 6.94/2.12 % (19686)Time elapsed: 0.024 s
% 6.94/2.12 % (19686)Instructions burned: 69 (million)
% 6.94/2.12 % (19686)------------------------------
% 6.94/2.12 % (19686)------------------------------
% 6.94/2.13 % (19687)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_19310 for (2992ds/358Mi)
% 6.94/2.14 % (19684)Refutation not found, incomplete strategy
% 6.94/2.14 % (19684)------------------------------
% 6.94/2.14 % (19684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.94/2.14 % (19684)Termination reason: Refutation not found, incomplete strategy
% 6.94/2.14
% 6.94/2.14
% 6.94/2.14 % (19684)Memory used [KB]: 1279
% 6.94/2.14 % (19684)Time elapsed: 0.082 s
% 6.94/2.14 % (19684)Instructions burned: 310 (million)
% 6.94/2.14 % (19684)------------------------------
% 6.94/2.14 % (19684)------------------------------
% 6.94/2.15 % (19663)Instruction limit reached!
% 6.94/2.15 % (19663)------------------------------
% 6.94/2.15 % (19663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.94/2.15 % (19663)Termination reason: Unknown
% 6.94/2.15 % (19663)Termination phase: Saturation
% 6.94/2.15
% 6.94/2.15 % (19663)Memory used [KB]: 7164
% 6.94/2.15 % (19663)Time elapsed: 0.312 s
% 6.94/2.15 % (19663)Instructions burned: 987 (million)
% 6.94/2.15 % (19663)------------------------------
% 6.94/2.15 % (19663)------------------------------
% 6.94/2.15 % (19688)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_19310 for (2991ds/31Mi)
% 6.94/2.16 % (19689)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_19310 for (2991ds/279Mi)
% 6.94/2.16 % (19688)Instruction limit reached!
% 6.94/2.16 % (19688)------------------------------
% 6.94/2.16 % (19688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.94/2.16 % (19688)Termination reason: Unknown
% 6.94/2.16 % (19688)Termination phase: Saturation
% 6.94/2.16
% 6.94/2.16 % (19688)Memory used [KB]: 5756
% 6.94/2.16 % (19688)Time elapsed: 0.011 s
% 6.94/2.16 % (19688)Instructions burned: 32 (million)
% 6.94/2.16 % (19688)------------------------------
% 6.94/2.16 % (19688)------------------------------
% 6.94/2.16 % (19689)Refutation not found, incomplete strategy
% 6.94/2.16 % (19689)------------------------------
% 6.94/2.16 % (19689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.94/2.16 % (19689)Termination reason: Refutation not found, incomplete strategy
% 6.94/2.16
% 6.94/2.16
% 6.94/2.16 % (19689)Memory used [KB]: 5500
% 6.94/2.16 % (19689)Time elapsed: 0.003 s
% 6.94/2.16 % (19689)Instructions burned: 6 (million)
% 6.94/2.16 % (19689)------------------------------
% 6.94/2.16 % (19689)------------------------------
% 6.94/2.17 % (19690)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_19310 for (2991ds/258Mi)
% 6.94/2.17 % (19691)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_19310 for (2991ds/26Mi)
% 6.94/2.18 % (19691)Instruction limit reached!
% 6.94/2.18 % (19691)------------------------------
% 6.94/2.18 % (19691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.94/2.18 % (19691)Termination reason: Unknown
% 6.94/2.18 % (19691)Termination phase: Saturation
% 6.94/2.18
% 6.94/2.18 % (19691)Memory used [KB]: 5628
% 6.94/2.18 % (19691)Time elapsed: 0.009 s
% 6.94/2.18 % (19691)Instructions burned: 26 (million)
% 6.94/2.18 % (19691)------------------------------
% 6.94/2.18 % (19691)------------------------------
% 6.94/2.19 % (19692)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_19310 for (2991ds/995Mi)
% 7.24/2.21 % (19692)Refutation not found, incomplete strategy
% 7.24/2.21 % (19692)------------------------------
% 7.24/2.21 % (19692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.21 % (19692)Termination reason: Refutation not found, incomplete strategy
% 7.24/2.21
% 7.24/2.21
% 7.24/2.21 % (19692)Memory used [KB]: 5628
% 7.24/2.21 % (19692)Time elapsed: 0.018 s
% 7.24/2.21 % (19692)Instructions burned: 58 (million)
% 7.24/2.21 % (19692)------------------------------
% 7.24/2.21 % (19692)------------------------------
% 7.24/2.22 % (19693)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_19310 for (2991ds/373Mi)
% 7.24/2.24 % (19687)Instruction limit reached!
% 7.24/2.24 % (19687)------------------------------
% 7.24/2.24 % (19687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.24 % (19687)Termination reason: Unknown
% 7.24/2.24 % (19687)Termination phase: Saturation
% 7.24/2.24
% 7.24/2.24 % (19687)Memory used [KB]: 6012
% 7.24/2.24 % (19687)Time elapsed: 0.111 s
% 7.24/2.24 % (19687)Instructions burned: 360 (million)
% 7.24/2.24 % (19687)------------------------------
% 7.24/2.24 % (19687)------------------------------
% 7.24/2.24 % (19675)Instruction limit reached!
% 7.24/2.24 % (19675)------------------------------
% 7.24/2.24 % (19675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.24 % (19675)Termination reason: Unknown
% 7.24/2.24 % (19675)Termination phase: Saturation
% 7.24/2.24
% 7.24/2.24 % (19675)Memory used [KB]: 6524
% 7.24/2.24 % (19675)Time elapsed: 0.285 s
% 7.24/2.24 % (19675)Instructions burned: 1023 (million)
% 7.24/2.24 % (19675)------------------------------
% 7.24/2.24 % (19675)------------------------------
% 7.24/2.24 % (19690)Instruction limit reached!
% 7.24/2.24 % (19690)------------------------------
% 7.24/2.24 % (19690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.24 % (19690)Termination reason: Unknown
% 7.24/2.24 % (19690)Termination phase: Saturation
% 7.24/2.24
% 7.24/2.24 % (19690)Memory used [KB]: 6140
% 7.24/2.24 % (19690)Time elapsed: 0.076 s
% 7.24/2.24 % (19690)Instructions burned: 261 (million)
% 7.24/2.24 % (19690)------------------------------
% 7.24/2.24 % (19690)------------------------------
% 7.24/2.25 % (19694)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_19310 for (2990ds/253Mi)
% 7.24/2.25 % (19695)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_19310 for (2990ds/832Mi)
% 7.24/2.25 % (19695)Refutation not found, incomplete strategy
% 7.24/2.25 % (19695)------------------------------
% 7.24/2.25 % (19695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.25 % (19695)Termination reason: Refutation not found, incomplete strategy
% 7.24/2.25
% 7.24/2.25
% 7.24/2.25 % (19695)Memory used [KB]: 5500
% 7.24/2.25 % (19695)Time elapsed: 0.002 s
% 7.24/2.25 % (19695)Instructions burned: 3 (million)
% 7.24/2.25 % (19695)------------------------------
% 7.24/2.25 % (19695)------------------------------
% 7.24/2.25 % (19696)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_19310 for (2990ds/668Mi)
% 7.24/2.26 % (19697)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_19310 for (2990ds/40Mi)
% 7.24/2.27 % (19694)Refutation not found, incomplete strategy
% 7.24/2.27 % (19694)------------------------------
% 7.24/2.27 % (19694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.27 % (19694)Termination reason: Refutation not found, incomplete strategy
% 7.24/2.27
% 7.24/2.27
% 7.24/2.27 % (19694)Memory used [KB]: 5756
% 7.24/2.27 % (19694)Time elapsed: 0.026 s
% 7.24/2.27 % (19694)Instructions burned: 68 (million)
% 7.24/2.27 % (19694)------------------------------
% 7.24/2.27 % (19694)------------------------------
% 7.24/2.27 % (19697)Instruction limit reached!
% 7.24/2.27 % (19697)------------------------------
% 7.24/2.27 % (19697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.27 % (19697)Termination reason: Unknown
% 7.24/2.27 % (19697)Termination phase: Saturation
% 7.24/2.27
% 7.24/2.27 % (19697)Memory used [KB]: 5756
% 7.24/2.27 % (19697)Time elapsed: 0.015 s
% 7.24/2.27 % (19697)Instructions burned: 41 (million)
% 7.24/2.27 % (19697)------------------------------
% 7.24/2.27 % (19697)------------------------------
% 7.24/2.28 % (19698)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_19310 for (2990ds/294Mi)
% 7.24/2.28 % (19699)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_19310 for (2990ds/187Mi)
% 7.60/2.32 % (19693)Instruction limit reached!
% 7.60/2.32 % (19693)------------------------------
% 7.60/2.32 % (19693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.32 % (19693)Termination reason: Unknown
% 7.60/2.32 % (19693)Termination phase: Saturation
% 7.60/2.32
% 7.60/2.32 % (19693)Memory used [KB]: 6652
% 7.60/2.32 % (19693)Time elapsed: 0.107 s
% 7.60/2.32 % (19693)Instructions burned: 374 (million)
% 7.60/2.32 % (19693)------------------------------
% 7.60/2.32 % (19693)------------------------------
% 7.60/2.33 % (19700)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_19310 for (2990ds/371Mi)
% 7.60/2.34 % (19699)Instruction limit reached!
% 7.60/2.34 % (19699)------------------------------
% 7.60/2.34 % (19699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.34 % (19699)Termination reason: Unknown
% 7.60/2.34 % (19699)Termination phase: Saturation
% 7.60/2.34
% 7.60/2.34 % (19699)Memory used [KB]: 7547
% 7.60/2.34 % (19699)Time elapsed: 0.075 s
% 7.60/2.34 % (19699)Instructions burned: 189 (million)
% 7.60/2.34 % (19699)------------------------------
% 7.60/2.34 % (19699)------------------------------
% 7.60/2.35 % (19701)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_19310 for (2989ds/1827Mi)
% 7.60/2.35 % (19700)Refutation not found, incomplete strategy
% 7.60/2.35 % (19700)------------------------------
% 7.60/2.35 % (19700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.35 % (19700)Termination reason: Refutation not found, incomplete strategy
% 7.60/2.35
% 7.60/2.35
% 7.60/2.35 % (19700)Memory used [KB]: 5756
% 7.60/2.35 % (19700)Time elapsed: 0.043 s
% 7.60/2.35 % (19700)Instructions burned: 64 (million)
% 7.60/2.35 % (19700)------------------------------
% 7.60/2.35 % (19700)------------------------------
% 7.60/2.36 % (19702)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_19310 for (2989ds/70Mi)
% 7.60/2.37 % (19698)Instruction limit reached!
% 7.60/2.37 % (19698)------------------------------
% 7.60/2.37 % (19698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.37 % (19698)Termination reason: Unknown
% 7.60/2.37 % (19698)Termination phase: Saturation
% 7.60/2.37
% 7.60/2.37 % (19698)Memory used [KB]: 6396
% 7.60/2.37 % (19698)Time elapsed: 0.113 s
% 7.60/2.37 % (19698)Instructions burned: 294 (million)
% 7.60/2.37 % (19698)------------------------------
% 7.60/2.37 % (19698)------------------------------
% 7.60/2.38 % (19703)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_19310 for (2989ds/316Mi)
% 7.60/2.38 % (19702)Instruction limit reached!
% 7.60/2.38 % (19702)------------------------------
% 7.60/2.38 % (19702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.38 % (19702)Termination reason: Unknown
% 7.60/2.38 % (19702)Termination phase: Saturation
% 7.60/2.38
% 7.60/2.38 % (19702)Memory used [KB]: 1535
% 7.60/2.38 % (19702)Time elapsed: 0.047 s
% 7.60/2.38 % (19702)Instructions burned: 71 (million)
% 7.60/2.38 % (19702)------------------------------
% 7.60/2.38 % (19702)------------------------------
% 7.60/2.38 % (19703)Refutation not found, incomplete strategy
% 7.60/2.38 % (19703)------------------------------
% 7.60/2.38 % (19703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.38 % (19703)Termination reason: Refutation not found, incomplete strategy
% 7.60/2.38
% 7.60/2.38
% 7.60/2.38 % (19703)Memory used [KB]: 5500
% 7.60/2.38 % (19703)Time elapsed: 0.027 s
% 7.60/2.38 % (19703)Instructions burned: 6 (million)
% 7.60/2.38 % (19703)------------------------------
% 7.60/2.38 % (19703)------------------------------
% 7.60/2.39 % (19704)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_19310 for (2989ds/932Mi)
% 7.60/2.39 % (19705)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_19310 for (2989ds/4714Mi)
% 7.60/2.40 % (19705)Refutation not found, incomplete strategy
% 7.60/2.40 % (19705)------------------------------
% 7.60/2.40 % (19705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.60/2.40 % (19705)Termination reason: Refutation not found, incomplete strategy
% 7.60/2.40
% 7.60/2.40
% 7.60/2.40 % (19705)Memory used [KB]: 5500
% 7.60/2.40 % (19705)Time elapsed: 0.003 s
% 7.60/2.40 % (19705)Instructions burned: 7 (million)
% 7.60/2.40 % (19705)------------------------------
% 7.60/2.40 % (19705)------------------------------
% 7.95/2.41 % (19706)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_19310 for (2989ds/8250Mi)
% 7.95/2.45 % (19696)Instruction limit reached!
% 7.95/2.45 % (19696)------------------------------
% 7.95/2.45 % (19696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.45 % (19696)Termination reason: Unknown
% 7.95/2.45 % (19696)Termination phase: Saturation
% 7.95/2.45
% 7.95/2.45 % (19696)Memory used [KB]: 12665
% 7.95/2.45 % (19696)Time elapsed: 0.195 s
% 7.95/2.45 % (19696)Instructions burned: 669 (million)
% 7.95/2.45 % (19696)------------------------------
% 7.95/2.45 % (19696)------------------------------
% 7.95/2.46 % (19707)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_19310 for (2988ds/770Mi)
% 7.95/2.46 % (19707)Refutation not found, incomplete strategy
% 7.95/2.46 % (19707)------------------------------
% 7.95/2.46 % (19707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.46 % (19707)Termination reason: Refutation not found, incomplete strategy
% 7.95/2.46
% 7.95/2.46
% 7.95/2.46 % (19707)Memory used [KB]: 5500
% 7.95/2.46 % (19707)Time elapsed: 0.002 s
% 7.95/2.46 % (19707)Instructions burned: 3 (million)
% 7.95/2.46 % (19707)------------------------------
% 7.95/2.46 % (19707)------------------------------
% 7.95/2.46 % (19681)Instruction limit reached!
% 7.95/2.46 % (19681)------------------------------
% 7.95/2.46 % (19681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.46 % (19681)Termination reason: Unknown
% 7.95/2.46 % (19681)Termination phase: Saturation
% 7.95/2.46
% 7.95/2.46 % (19681)Memory used [KB]: 7291
% 7.95/2.46 % (19681)Time elapsed: 0.441 s
% 7.95/2.46 % (19681)Instructions burned: 1542 (million)
% 7.95/2.46 % (19681)------------------------------
% 7.95/2.46 % (19681)------------------------------
% 7.95/2.47 % (19708)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_19310 for (2988ds/794Mi)
% 7.95/2.47 % (19709)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_19310 for (2988ds/464Mi)
% 7.95/2.48 % (19709)Refutation not found, incomplete strategy
% 7.95/2.48 % (19709)------------------------------
% 7.95/2.48 % (19709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.48 % (19709)Termination reason: Refutation not found, incomplete strategy
% 7.95/2.48
% 7.95/2.48
% 7.95/2.48 % (19709)Memory used [KB]: 5628
% 7.95/2.48 % (19709)Time elapsed: 0.009 s
% 7.95/2.48 % (19709)Instructions burned: 24 (million)
% 7.95/2.48 % (19709)------------------------------
% 7.95/2.48 % (19709)------------------------------
% 7.95/2.49 % (19710)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_19310 for (2988ds/1376Mi)
% 8.65/2.66 % (19704)Instruction limit reached!
% 8.65/2.66 % (19704)------------------------------
% 8.65/2.66 % (19704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.65/2.66 % (19704)Termination reason: Unknown
% 8.65/2.66 % (19704)Termination phase: Saturation
% 8.65/2.66
% 8.65/2.66 % (19704)Memory used [KB]: 9083
% 8.65/2.66 % (19704)Time elapsed: 0.272 s
% 8.65/2.66 % (19704)Instructions burned: 934 (million)
% 8.65/2.66 % (19704)------------------------------
% 8.65/2.66 % (19704)------------------------------
% 8.65/2.67 % (19711)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_19310 for (2986ds/906Mi)
% 8.65/2.69 % (19708)Instruction limit reached!
% 8.65/2.69 % (19708)------------------------------
% 8.65/2.69 % (19708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.65/2.69 % (19708)Termination reason: Unknown
% 8.65/2.69 % (19708)Termination phase: Saturation
% 8.65/2.69
% 8.65/2.69 % (19708)Memory used [KB]: 2814
% 8.65/2.69 % (19708)Time elapsed: 0.227 s
% 8.65/2.69 % (19708)Instructions burned: 795 (million)
% 8.65/2.69 % (19708)------------------------------
% 8.65/2.69 % (19708)------------------------------
% 9.16/2.70 % (19712)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_19310 for (2986ds/434Mi)
% 9.16/2.83 % (19712)Instruction limit reached!
% 9.16/2.83 % (19712)------------------------------
% 9.16/2.83 % (19712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.16/2.83 % (19712)Termination reason: Unknown
% 9.16/2.83 % (19712)Termination phase: Saturation
% 9.16/2.83
% 9.16/2.83 % (19712)Memory used [KB]: 6268
% 9.16/2.83 % (19712)Time elapsed: 0.123 s
% 9.16/2.83 % (19712)Instructions burned: 436 (million)
% 9.16/2.83 % (19712)------------------------------
% 9.16/2.83 % (19712)------------------------------
% 9.16/2.84 % (19713)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_19310 for (2984ds/865Mi)
% 9.16/2.86 % (19701)Instruction limit reached!
% 9.16/2.86 % (19701)------------------------------
% 9.16/2.86 % (19701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.16/2.86 % (19701)Termination reason: Unknown
% 9.16/2.86 % (19701)Termination phase: Saturation
% 9.16/2.86
% 9.16/2.86 % (19701)Memory used [KB]: 7419
% 9.16/2.86 % (19701)Time elapsed: 0.540 s
% 9.16/2.86 % (19701)Instructions burned: 1829 (million)
% 9.16/2.86 % (19701)------------------------------
% 9.16/2.86 % (19701)------------------------------
% 9.16/2.87 % (19714)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_19310 for (2984ds/593Mi)
% 9.16/2.88 % (19710)Instruction limit reached!
% 9.16/2.88 % (19710)------------------------------
% 9.16/2.88 % (19710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.16/2.88 % (19710)Termination reason: Unknown
% 9.16/2.88 % (19710)Termination phase: Saturation
% 9.16/2.88
% 9.16/2.88 % (19710)Memory used [KB]: 16502
% 9.16/2.88 % (19710)Time elapsed: 0.389 s
% 9.16/2.88 % (19710)Instructions burned: 1376 (million)
% 9.16/2.88 % (19710)------------------------------
% 9.16/2.88 % (19710)------------------------------
% 9.16/2.89 % (19715)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_19310 for (2984ds/443Mi)
% 10.22/2.93 % (19711)Instruction limit reached!
% 10.22/2.93 % (19711)------------------------------
% 10.22/2.93 % (19711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.22/2.93 % (19711)Termination reason: Unknown
% 10.22/2.93 % (19711)Termination phase: Saturation
% 10.22/2.93
% 10.22/2.93 % (19711)Memory used [KB]: 8955
% 10.22/2.93 % (19711)Time elapsed: 0.262 s
% 10.22/2.93 % (19711)Instructions burned: 906 (million)
% 10.22/2.93 % (19711)------------------------------
% 10.22/2.93 % (19711)------------------------------
% 10.22/2.94 % (19716)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_19310 for (2983ds/594Mi)
% 10.22/3.02 % (19715)Instruction limit reached!
% 10.22/3.02 % (19715)------------------------------
% 10.22/3.02 % (19715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.22/3.02 % (19715)Termination reason: Unknown
% 10.22/3.02 % (19715)Termination phase: Saturation
% 10.22/3.02
% 10.22/3.02 % (19715)Memory used [KB]: 6396
% 10.22/3.02 % (19715)Time elapsed: 0.129 s
% 10.22/3.02 % (19715)Instructions burned: 443 (million)
% 10.22/3.02 % (19715)------------------------------
% 10.22/3.02 % (19715)------------------------------
% 13.49/3.03 % (19717)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_19310 for (2982ds/327Mi)
% 13.49/3.04 % (19714)Instruction limit reached!
% 13.49/3.04 % (19714)------------------------------
% 13.49/3.04 % (19714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.04 % (19714)Termination reason: Unknown
% 13.49/3.04 % (19714)Termination phase: Saturation
% 13.49/3.04
% 13.49/3.04 % (19714)Memory used [KB]: 6908
% 13.49/3.04 % (19714)Time elapsed: 0.172 s
% 13.49/3.04 % (19714)Instructions burned: 595 (million)
% 13.49/3.04 % (19714)------------------------------
% 13.49/3.04 % (19714)------------------------------
% 13.49/3.05 % (19713)Instruction limit reached!
% 13.49/3.05 % (19713)------------------------------
% 13.49/3.05 % (19713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.05 % (19713)Termination reason: Unknown
% 13.49/3.05 % (19713)Termination phase: Saturation
% 13.49/3.05
% 13.49/3.05 % (19713)Memory used [KB]: 7803
% 13.49/3.05 % (19713)Time elapsed: 0.215 s
% 13.49/3.05 % (19713)Instructions burned: 867 (million)
% 13.49/3.05 % (19713)------------------------------
% 13.49/3.05 % (19713)------------------------------
% 13.49/3.05 % (19718)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_19310 for (2982ds/5411Mi)
% 13.49/3.05 % (19718)Refutation not found, incomplete strategy
% 13.49/3.05 % (19718)------------------------------
% 13.49/3.05 % (19718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.05 % (19718)Termination reason: Refutation not found, incomplete strategy
% 13.49/3.05
% 13.49/3.05
% 13.49/3.05 % (19718)Memory used [KB]: 5500
% 13.49/3.05 % (19718)Time elapsed: 0.002 s
% 13.49/3.05 % (19718)Instructions burned: 3 (million)
% 13.49/3.05 % (19718)------------------------------
% 13.49/3.05 % (19718)------------------------------
% 13.49/3.06 % (19719)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_19310 for (2982ds/1762Mi)
% 13.49/3.06 % (19720)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_19310 for (2982ds/96Mi)
% 13.49/3.09 % (19720)Instruction limit reached!
% 13.49/3.09 % (19720)------------------------------
% 13.49/3.09 % (19720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.09 % (19720)Termination reason: Unknown
% 13.49/3.09 % (19720)Termination phase: Saturation
% 13.49/3.09
% 13.49/3.09 % (19720)Memory used [KB]: 6012
% 13.49/3.09 % (19720)Time elapsed: 0.031 s
% 13.49/3.09 % (19720)Instructions burned: 96 (million)
% 13.49/3.09 % (19720)------------------------------
% 13.49/3.09 % (19720)------------------------------
% 13.49/3.10 % (19721)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_19310 for (2982ds/503Mi)
% 13.49/3.11 % (19716)Instruction limit reached!
% 13.49/3.11 % (19716)------------------------------
% 13.49/3.11 % (19716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.11 % (19716)Termination reason: Unknown
% 13.49/3.11 % (19716)Termination phase: Saturation
% 13.49/3.11
% 13.49/3.11 % (19716)Memory used [KB]: 6780
% 13.49/3.11 % (19716)Time elapsed: 0.170 s
% 13.49/3.11 % (19716)Instructions burned: 595 (million)
% 13.49/3.11 % (19716)------------------------------
% 13.49/3.11 % (19716)------------------------------
% 13.49/3.12 % (19722)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_19310 for (2982ds/90Mi)
% 14.14/3.13 % (19717)Instruction limit reached!
% 14.14/3.13 % (19717)------------------------------
% 14.14/3.13 % (19717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.14/3.13 % (19717)Termination reason: Unknown
% 14.14/3.13 % (19717)Termination phase: Saturation
% 14.14/3.13
% 14.14/3.13 % (19717)Memory used [KB]: 8059
% 14.14/3.13 % (19717)Time elapsed: 0.094 s
% 14.14/3.13 % (19717)Instructions burned: 330 (million)
% 14.14/3.13 % (19717)------------------------------
% 14.14/3.13 % (19717)------------------------------
% 14.14/3.14 % (19723)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_19310 for (2981ds/593Mi)
% 14.14/3.15 % (19722)Instruction limit reached!
% 14.14/3.15 % (19722)------------------------------
% 14.14/3.15 % (19722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.14/3.15 % (19722)Termination reason: Unknown
% 14.14/3.15 % (19722)Termination phase: Saturation
% 14.14/3.15
% 14.14/3.15 % (19722)Memory used [KB]: 5884
% 14.14/3.15 % (19722)Time elapsed: 0.029 s
% 14.14/3.15 % (19722)Instructions burned: 91 (million)
% 14.14/3.15 % (19722)------------------------------
% 14.14/3.15 % (19722)------------------------------
% 14.14/3.16 % (19724)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_19310 for (2981ds/1512Mi)
% 14.14/3.16 % (19724)Refutation not found, incomplete strategy
% 14.14/3.16 % (19724)------------------------------
% 14.14/3.16 % (19724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.14/3.16 % (19724)Termination reason: Refutation not found, incomplete strategy
% 14.14/3.16
% 14.14/3.16
% 14.14/3.16 % (19724)Memory used [KB]: 5500
% 14.14/3.16 % (19724)Time elapsed: 0.003 s
% 14.14/3.16 % (19724)Instructions burned: 6 (million)
% 14.14/3.16 % (19724)------------------------------
% 14.14/3.16 % (19724)------------------------------
% 14.14/3.17 % (19725)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_19310 for (2981ds/569Mi)
% 14.51/3.24 % (19721)Instruction limit reached!
% 14.51/3.24 % (19721)------------------------------
% 14.51/3.24 % (19721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.51/3.24 % (19721)Termination reason: Unknown
% 14.51/3.24 % (19721)Termination phase: Saturation
% 14.51/3.24
% 14.51/3.24 % (19721)Memory used [KB]: 6780
% 14.51/3.24 % (19721)Time elapsed: 0.141 s
% 14.51/3.24 % (19721)Instructions burned: 505 (million)
% 14.51/3.24 % (19721)------------------------------
% 14.51/3.24 % (19721)------------------------------
% 14.51/3.25 % (19685)Instruction limit reached!
% 14.51/3.25 % (19685)------------------------------
% 14.51/3.25 % (19685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.51/3.25 % (19685)Termination reason: Unknown
% 14.51/3.25 % (19685)Termination phase: Saturation
% 14.51/3.25
% 14.51/3.25 % (19685)Memory used [KB]: 11001
% 14.51/3.25 % (19685)Time elapsed: 1.191 s
% 14.51/3.25 % (19685)Instructions burned: 4351 (million)
% 14.51/3.25 % (19685)------------------------------
% 14.51/3.25 % (19685)------------------------------
% 14.51/3.25 % (19726)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_19310 for (2980ds/501Mi)
% 14.51/3.25 % (19726)Refutation not found, incomplete strategy
% 14.51/3.25 % (19726)------------------------------
% 14.51/3.25 % (19726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.51/3.25 % (19726)Termination reason: Refutation not found, incomplete strategy
% 14.51/3.25
% 14.51/3.25
% 14.51/3.25 % (19726)Memory used [KB]: 5500
% 14.51/3.25 % (19726)Time elapsed: 0.003 s
% 14.51/3.25 % (19726)Instructions burned: 5 (million)
% 14.51/3.25 % (19726)------------------------------
% 14.51/3.25 % (19726)------------------------------
% 14.51/3.26 % (19727)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_19310 for (2980ds/562Mi)
% 14.51/3.26 % (19728)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_19310 for (2980ds/406Mi)
% 14.93/3.30 % (19723)Instruction limit reached!
% 14.93/3.30 % (19723)------------------------------
% 14.93/3.30 % (19723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.93/3.30 % (19723)Termination reason: Unknown
% 14.93/3.30 % (19723)Termination phase: Saturation
% 14.93/3.30
% 14.93/3.30 % (19723)Memory used [KB]: 7036
% 14.93/3.30 % (19723)Time elapsed: 0.163 s
% 14.93/3.30 % (19723)Instructions burned: 594 (million)
% 14.93/3.30 % (19723)------------------------------
% 14.93/3.30 % (19723)------------------------------
% 14.93/3.31 % (19729)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_19310 for (2980ds/582Mi)
% 14.93/3.33 % (19725)Instruction limit reached!
% 14.93/3.33 % (19725)------------------------------
% 14.93/3.33 % (19725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.93/3.33 % (19725)Termination reason: Unknown
% 14.93/3.33 % (19725)Termination phase: Saturation
% 14.93/3.33
% 14.93/3.33 % (19725)Memory used [KB]: 6524
% 14.93/3.33 % (19725)Time elapsed: 0.164 s
% 14.93/3.33 % (19725)Instructions burned: 570 (million)
% 14.93/3.33 % (19725)------------------------------
% 14.93/3.33 % (19725)------------------------------
% 14.93/3.34 % (19730)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_19310 for (2979ds/456Mi)
% 14.93/3.38 % (19728)Instruction limit reached!
% 14.93/3.38 % (19728)------------------------------
% 14.93/3.38 % (19728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.93/3.38 % (19728)Termination reason: Unknown
% 14.93/3.38 % (19728)Termination phase: Saturation
% 14.93/3.38
% 14.93/3.38 % (19728)Memory used [KB]: 6140
% 14.93/3.38 % (19728)Time elapsed: 0.119 s
% 14.93/3.38 % (19728)Instructions burned: 406 (million)
% 14.93/3.38 % (19728)------------------------------
% 14.93/3.38 % (19728)------------------------------
% 14.93/3.39 % (19731)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_19310 for (2979ds/393Mi)
% 15.61/3.43 % (19727)Instruction limit reached!
% 15.61/3.43 % (19727)------------------------------
% 15.61/3.43 % (19727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.61/3.43 % (19727)Termination reason: Unknown
% 15.61/3.43 % (19727)Termination phase: Saturation
% 15.61/3.43
% 15.61/3.43 % (19727)Memory used [KB]: 7036
% 15.61/3.43 % (19727)Time elapsed: 0.169 s
% 15.61/3.43 % (19727)Instructions burned: 564 (million)
% 15.61/3.43 % (19727)------------------------------
% 15.61/3.43 % (19727)------------------------------
% 15.61/3.43 % (19731)Refutation not found, incomplete strategy
% 15.61/3.43 % (19731)------------------------------
% 15.61/3.43 % (19731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.61/3.43 % (19731)Termination reason: Refutation not found, incomplete strategy
% 15.61/3.43
% 15.61/3.43
% 15.61/3.43 % (19731)Memory used [KB]: 5884
% 15.61/3.43 % (19731)Time elapsed: 0.040 s
% 15.61/3.43 % (19731)Instructions burned: 130 (million)
% 15.61/3.43 % (19731)------------------------------
% 15.61/3.43 % (19731)------------------------------
% 15.61/3.44 % (19732)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_19310 for (2978ds/1335Mi)
% 15.61/3.44 % (19732)Refutation not found, incomplete strategy
% 15.61/3.44 % (19732)------------------------------
% 15.61/3.44 % (19732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.61/3.44 % (19732)Termination reason: Refutation not found, incomplete strategy
% 15.61/3.44
% 15.61/3.44
% 15.61/3.44 % (19732)Memory used [KB]: 5500
% 15.61/3.44 % (19732)Time elapsed: 0.003 s
% 15.61/3.44 % (19732)Instructions burned: 6 (million)
% 15.61/3.44 % (19732)------------------------------
% 15.61/3.44 % (19732)------------------------------
% 15.61/3.44 % (19733)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_19310 for (2978ds/3373Mi)
% 15.61/3.45 % (19734)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_19310 for (2978ds/474Mi)
% 15.61/3.47 % (19729)Instruction limit reached!
% 15.61/3.47 % (19729)------------------------------
% 15.61/3.47 % (19729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.61/3.47 % (19729)Termination reason: Unknown
% 15.61/3.47 % (19729)Termination phase: Saturation
% 15.61/3.47
% 15.61/3.47 % (19729)Memory used [KB]: 6012
% 15.61/3.47 % (19729)Time elapsed: 0.164 s
% 15.61/3.47 % (19729)Instructions burned: 583 (million)
% 15.61/3.47 % (19729)------------------------------
% 15.61/3.47 % (19729)------------------------------
% 15.61/3.47 % (19730)Instruction limit reached!
% 15.61/3.47 % (19730)------------------------------
% 15.61/3.47 % (19730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.61/3.47 % (19730)Termination reason: Unknown
% 15.61/3.47 % (19730)Termination phase: Saturation
% 15.61/3.47
% 15.61/3.47 % (19730)Memory used [KB]: 6268
% 15.61/3.47 % (19730)Time elapsed: 0.132 s
% 15.61/3.47 % (19730)Instructions burned: 459 (million)
% 15.61/3.47 % (19730)------------------------------
% 15.61/3.47 % (19730)------------------------------
% 15.61/3.48 % (19735)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_19310 for (2978ds/157Mi)
% 15.61/3.48 % (19736)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_19310 for (2978ds/590Mi)
% 16.36/3.53 % (19735)Instruction limit reached!
% 16.36/3.53 % (19735)------------------------------
% 16.36/3.53 % (19735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.36/3.53 % (19735)Termination reason: Unknown
% 16.36/3.53 % (19735)Termination phase: Saturation
% 16.36/3.53
% 16.36/3.53 % (19735)Memory used [KB]: 6140
% 16.36/3.53 % (19735)Time elapsed: 0.047 s
% 16.36/3.53 % (19735)Instructions burned: 158 (million)
% 16.36/3.53 % (19735)------------------------------
% 16.36/3.53 % (19735)------------------------------
% 16.36/3.54 % (19737)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_19310 for (2978ds/104Mi)
% 16.36/3.57 % (19737)Instruction limit reached!
% 16.36/3.57 % (19737)------------------------------
% 16.36/3.57 % (19737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.36/3.57 % (19737)Termination reason: Unknown
% 16.36/3.57 % (19737)Termination phase: Saturation
% 16.36/3.57
% 16.36/3.57 % (19737)Memory used [KB]: 5884
% 16.36/3.57 % (19737)Time elapsed: 0.033 s
% 16.36/3.57 % (19737)Instructions burned: 107 (million)
% 16.36/3.57 % (19737)------------------------------
% 16.36/3.57 % (19737)------------------------------
% 16.36/3.57 % (19683)Instruction limit reached!
% 16.36/3.57 % (19683)------------------------------
% 16.36/3.57 % (19683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.36/3.57 % (19683)Termination reason: Unknown
% 16.36/3.57 % (19683)Termination phase: Saturation
% 16.36/3.57
% 16.36/3.57 % (19683)Memory used [KB]: 8315
% 16.36/3.57 % (19683)Time elapsed: 1.536 s
% 16.36/3.57 % (19683)Instructions burned: 5208 (million)
% 16.36/3.57 % (19683)------------------------------
% 16.36/3.57 % (19683)------------------------------
% 16.36/3.57 % (19719)Instruction limit reached!
% 16.36/3.57 % (19719)------------------------------
% 16.36/3.57 % (19719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.36/3.57 % (19719)Termination reason: Unknown
% 16.36/3.57 % (19719)Termination phase: Saturation
% 16.36/3.57
% 16.36/3.57 % (19719)Memory used [KB]: 6908
% 16.36/3.57 % (19719)Time elapsed: 0.516 s
% 16.36/3.57 % (19719)Instructions burned: 1762 (million)
% 16.36/3.57 % (19719)------------------------------
% 16.36/3.57 % (19719)------------------------------
% 16.36/3.58 % (19738)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_19310 for (2977ds/414Mi)
% 16.36/3.58 % (19739)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_19310 for (2977ds/715Mi)
% 16.36/3.58 % (19740)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_19310 for (2977ds/961Mi)
% 16.36/3.59 % (19734)Instruction limit reached!
% 16.36/3.59 % (19734)------------------------------
% 16.36/3.59 % (19734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.36/3.59 % (19734)Termination reason: Unknown
% 16.36/3.59 % (19734)Termination phase: Saturation
% 16.36/3.59
% 16.36/3.59 % (19734)Memory used [KB]: 6524
% 16.36/3.59 % (19734)Time elapsed: 0.142 s
% 16.36/3.59 % (19734)Instructions burned: 476 (million)
% 16.36/3.59 % (19734)------------------------------
% 16.36/3.59 % (19734)------------------------------
% 16.36/3.59 % (19738)Refutation not found, incomplete strategy
% 16.36/3.59 % (19738)------------------------------
% 16.36/3.59 % (19738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.36/3.59 % (19738)Termination reason: Refutation not found, incomplete strategy
% 16.36/3.59
% 16.36/3.59
% 16.36/3.59 % (19738)Memory used [KB]: 5756
% 16.36/3.59 % (19738)Time elapsed: 0.014 s
% 16.36/3.59 % (19738)Instructions burned: 40 (million)
% 16.36/3.59 % (19738)------------------------------
% 16.36/3.59 % (19738)------------------------------
% 17.34/3.60 % (19741)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_19310 for (2977ds/1213Mi)
% 17.34/3.60 % (19742)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_19310 for (2977ds/1979Mi)
% 17.34/3.65 % (19736)Instruction limit reached!
% 17.34/3.65 % (19736)------------------------------
% 17.34/3.65 % (19736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.34/3.65 % (19736)Termination reason: Unknown
% 17.34/3.65 % (19736)Termination phase: Saturation
% 17.34/3.65
% 17.34/3.65 % (19736)Memory used [KB]: 6780
% 17.34/3.65 % (19736)Time elapsed: 0.168 s
% 17.34/3.65 % (19736)Instructions burned: 592 (million)
% 17.34/3.65 % (19736)------------------------------
% 17.34/3.65 % (19736)------------------------------
% 17.34/3.66 % (19743)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_19310 for (2976ds/481Mi)
% 17.62/3.78 % (19739)Instruction limit reached!
% 17.62/3.78 % (19739)------------------------------
% 17.62/3.78 % (19739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.62/3.78 % (19739)Termination reason: Unknown
% 17.62/3.78 % (19739)Termination phase: Saturation
% 17.62/3.78
% 17.62/3.78 % (19739)Memory used [KB]: 3837
% 17.62/3.78 % (19739)Time elapsed: 0.200 s
% 17.62/3.78 % (19739)Instructions burned: 715 (million)
% 17.62/3.78 % (19739)------------------------------
% 17.62/3.78 % (19739)------------------------------
% 17.62/3.79 % (19744)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_19310 for (2975ds/783Mi)
% 17.94/3.81 % (19743)Instruction limit reached!
% 17.94/3.81 % (19743)------------------------------
% 17.94/3.81 % (19743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.81 % (19743)Termination reason: Unknown
% 17.94/3.81 % (19743)Termination phase: Saturation
% 17.94/3.81
% 17.94/3.81 % (19743)Memory used [KB]: 6396
% 17.94/3.81 % (19743)Time elapsed: 0.148 s
% 17.94/3.81 % (19743)Instructions burned: 482 (million)
% 17.94/3.81 % (19743)------------------------------
% 17.94/3.81 % (19743)------------------------------
% 17.94/3.82 % (19745)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_19310 for (2975ds/432Mi)
% 17.94/3.82 % (19745)Refutation not found, incomplete strategy
% 17.94/3.82 % (19745)------------------------------
% 17.94/3.82 % (19745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.82 % (19745)Termination reason: Refutation not found, incomplete strategy
% 17.94/3.82
% 17.94/3.82
% 17.94/3.82 % (19745)Memory used [KB]: 5500
% 17.94/3.82 % (19745)Time elapsed: 0.003 s
% 17.94/3.82 % (19745)Instructions burned: 3 (million)
% 17.94/3.82 % (19745)------------------------------
% 17.94/3.82 % (19745)------------------------------
% 17.94/3.83 % (19746)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_19310 for (2975ds/1670Mi)
% 17.94/3.85 % (19746)Refutation not found, incomplete strategy
% 17.94/3.85 % (19746)------------------------------
% 17.94/3.85 % (19746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.85 % (19746)Termination reason: Refutation not found, incomplete strategy
% 17.94/3.85
% 17.94/3.85
% 17.94/3.85 % (19746)Memory used [KB]: 5628
% 17.94/3.85 % (19746)Time elapsed: 0.020 s
% 17.94/3.85 % (19746)Instructions burned: 65 (million)
% 17.94/3.85 % (19746)------------------------------
% 17.94/3.85 % (19746)------------------------------
% 17.94/3.85 % (19740)Instruction limit reached!
% 17.94/3.85 % (19740)------------------------------
% 17.94/3.85 % (19740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.85 % (19740)Termination reason: Unknown
% 17.94/3.85 % (19740)Termination phase: Saturation
% 17.94/3.85
% 17.94/3.85 % (19740)Memory used [KB]: 6652
% 17.94/3.85 % (19740)Time elapsed: 0.273 s
% 17.94/3.85 % (19740)Instructions burned: 962 (million)
% 17.94/3.85 % (19740)------------------------------
% 17.94/3.85 % (19740)------------------------------
% 17.94/3.86 % (19747)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_19310 for (2974ds/90Mi)
% 17.94/3.86 % (19748)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_19310 for (2974ds/346Mi)
% 17.94/3.88 % (19747)Instruction limit reached!
% 17.94/3.88 % (19747)------------------------------
% 17.94/3.88 % (19747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.94/3.88 % (19747)Termination reason: Unknown
% 17.94/3.88 % (19747)Termination phase: Saturation
% 17.94/3.88
% 17.94/3.88 % (19747)Memory used [KB]: 5756
% 17.94/3.88 % (19747)Time elapsed: 0.027 s
% 17.94/3.88 % (19747)Instructions burned: 90 (million)
% 17.94/3.88 % (19747)------------------------------
% 17.94/3.88 % (19747)------------------------------
% 17.94/3.89 % (19749)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_19310 for (2974ds/401Mi)
% 18.54/3.95 % (19741)Instruction limit reached!
% 18.54/3.95 % (19741)------------------------------
% 18.54/3.95 % (19741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.54/3.95 % (19741)Termination reason: Unknown
% 18.54/3.95 % (19741)Termination phase: Saturation
% 18.54/3.95
% 18.54/3.95 % (19741)Memory used [KB]: 8571
% 18.54/3.95 % (19741)Time elapsed: 0.348 s
% 18.54/3.95 % (19741)Instructions burned: 1214 (million)
% 18.54/3.95 % (19741)------------------------------
% 18.54/3.95 % (19741)------------------------------
% 18.54/3.96 % (19750)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_19310 for (2973ds/6454Mi)
% 18.54/3.97 % (19748)Instruction limit reached!
% 18.54/3.97 % (19748)------------------------------
% 18.54/3.97 % (19748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.54/3.97 % (19748)Termination reason: Unknown
% 18.54/3.97 % (19748)Termination phase: Saturation
% 18.54/3.97
% 18.54/3.97 % (19748)Memory used [KB]: 6524
% 18.54/3.97 % (19748)Time elapsed: 0.107 s
% 18.54/3.97 % (19748)Instructions burned: 347 (million)
% 18.54/3.97 % (19748)------------------------------
% 18.54/3.97 % (19748)------------------------------
% 18.54/3.98 % (19751)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_19310 for (2973ds/283Mi)
% 18.54/4.00 % (19744)Instruction limit reached!
% 18.54/4.00 % (19744)------------------------------
% 18.54/4.00 % (19744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.54/4.00 % (19744)Termination reason: Unknown
% 18.54/4.00 % (19744)Termination phase: Saturation
% 18.54/4.00
% 18.54/4.00 % (19744)Memory used [KB]: 6268
% 18.54/4.00 % (19744)Time elapsed: 0.217 s
% 18.54/4.00 % (19744)Instructions burned: 783 (million)
% 18.54/4.00 % (19744)------------------------------
% 18.54/4.00 % (19744)------------------------------
% 18.54/4.01 % (19749)Instruction limit reached!
% 18.54/4.01 % (19749)------------------------------
% 18.54/4.01 % (19749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.54/4.01 % (19749)Termination reason: Unknown
% 18.54/4.01 % (19749)Termination phase: Saturation
% 18.54/4.01
% 18.54/4.01 % (19749)Memory used [KB]: 7803
% 18.54/4.01 % (19749)Time elapsed: 0.139 s
% 18.54/4.01 % (19749)Instructions burned: 403 (million)
% 18.54/4.01 % (19749)------------------------------
% 18.54/4.01 % (19749)------------------------------
% 18.54/4.01 % (19752)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_19310 for (2973ds/865Mi)
% 18.54/4.02 % (19753)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_19310 for (2973ds/4528Mi)
% 18.54/4.02 % (19753)Refutation not found, incomplete strategy
% 18.54/4.02 % (19753)------------------------------
% 18.54/4.02 % (19753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.54/4.02 % (19753)Termination reason: Refutation not found, incomplete strategy
% 18.54/4.02
% 18.54/4.02
% 18.54/4.02 % (19753)Memory used [KB]: 1023
% 18.54/4.02 % (19753)Time elapsed: 0.002 s
% 18.54/4.02 % (19753)Instructions burned: 3 (million)
% 18.54/4.02 % (19753)------------------------------
% 18.54/4.02 % (19753)------------------------------
% 20.62/4.03 % (19754)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_19310 for (2972ds/1001Mi)
% 20.62/4.06 % (19751)Instruction limit reached!
% 20.62/4.06 % (19751)------------------------------
% 20.62/4.06 % (19751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.62/4.06 % (19751)Termination reason: Unknown
% 20.62/4.06 % (19751)Termination phase: Saturation
% 20.62/4.06
% 20.62/4.06 % (19751)Memory used [KB]: 7803
% 20.62/4.06 % (19751)Time elapsed: 0.102 s
% 20.62/4.06 % (19751)Instructions burned: 283 (million)
% 20.62/4.06 % (19751)------------------------------
% 20.62/4.06 % (19751)------------------------------
% 20.62/4.07 % (19755)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_19310 for (2972ds/102Mi)
% 20.62/4.07 % (19755)Refutation not found, incomplete strategy
% 20.62/4.07 % (19755)------------------------------
% 20.62/4.07 % (19755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.62/4.07 % (19755)Termination reason: Refutation not found, incomplete strategy
% 20.62/4.07
% 20.62/4.07
% 20.62/4.07 % (19755)Memory used [KB]: 5628
% 20.62/4.07 % (19755)Time elapsed: 0.006 s
% 20.62/4.07 % (19755)Instructions burned: 17 (million)
% 20.62/4.07 % (19755)------------------------------
% 20.62/4.07 % (19755)------------------------------
% 20.62/4.08 % (19756)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_19310 for (2972ds/952Mi)
% 21.10/4.18 % (19742)Instruction limit reached!
% 21.10/4.18 % (19742)------------------------------
% 21.10/4.18 % (19742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.10/4.18 % (19742)Termination reason: Unknown
% 21.10/4.18 % (19742)Termination phase: Saturation
% 21.10/4.18
% 21.10/4.18 % (19742)Memory used [KB]: 9210
% 21.10/4.18 % (19742)Time elapsed: 0.583 s
% 21.10/4.18 % (19742)Instructions burned: 1980 (million)
% 21.10/4.18 % (19742)------------------------------
% 21.10/4.18 % (19742)------------------------------
% 21.10/4.19 % (19757)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_19310 for (2971ds/578Mi)
% 21.39/4.27 % (19752)Instruction limit reached!
% 21.39/4.27 % (19752)------------------------------
% 21.39/4.27 % (19752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.39/4.27 % (19752)Termination reason: Unknown
% 21.39/4.27 % (19752)Termination phase: Saturation
% 21.39/4.27
% 21.39/4.27 % (19752)Memory used [KB]: 6780
% 21.39/4.27 % (19752)Time elapsed: 0.253 s
% 21.39/4.27 % (19752)Instructions burned: 868 (million)
% 21.39/4.27 % (19752)------------------------------
% 21.39/4.27 % (19752)------------------------------
% 21.39/4.27 % (19758)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_19310 for (2970ds/643Mi)
% 21.95/4.31 % (19754)Instruction limit reached!
% 21.95/4.31 % (19754)------------------------------
% 21.95/4.31 % (19754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.95/4.31 % (19754)Termination reason: Unknown
% 21.95/4.31 % (19754)Termination phase: Saturation
% 21.95/4.31
% 21.95/4.31 % (19754)Memory used [KB]: 8315
% 21.95/4.31 % (19754)Time elapsed: 0.279 s
% 21.95/4.31 % (19754)Instructions burned: 1003 (million)
% 21.95/4.31 % (19754)------------------------------
% 21.95/4.31 % (19754)------------------------------
% 21.95/4.32 % (19759)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_19310 for (2970ds/865Mi)
% 21.95/4.35 % (19756)Instruction limit reached!
% 21.95/4.35 % (19756)------------------------------
% 21.95/4.35 % (19756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.95/4.35 % (19756)Termination reason: Unknown
% 21.95/4.35 % (19756)Termination phase: Saturation
% 21.95/4.35
% 21.95/4.35 % (19756)Memory used [KB]: 7291
% 21.95/4.35 % (19756)Time elapsed: 0.266 s
% 21.95/4.35 % (19756)Instructions burned: 954 (million)
% 21.95/4.35 % (19756)------------------------------
% 21.95/4.35 % (19756)------------------------------
% 21.95/4.36 % (19760)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_19310 for (2969ds/1174Mi)
% 21.95/4.37 % (19733)Instruction limit reached!
% 21.95/4.37 % (19733)------------------------------
% 21.95/4.37 % (19733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.95/4.37 % (19733)Termination reason: Unknown
% 21.95/4.37 % (19733)Termination phase: Saturation
% 21.95/4.37
% 21.95/4.37 % (19733)Memory used [KB]: 8827
% 21.95/4.37 % (19733)Time elapsed: 0.926 s
% 21.95/4.37 % (19733)Instructions burned: 3373 (million)
% 21.95/4.37 % (19733)------------------------------
% 21.95/4.37 % (19733)------------------------------
% 21.95/4.37 % (19757)Instruction limit reached!
% 21.95/4.37 % (19757)------------------------------
% 21.95/4.37 % (19757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.95/4.37 % (19757)Termination reason: Unknown
% 21.95/4.37 % (19757)Termination phase: Saturation
% 21.95/4.37
% 21.95/4.37 % (19757)Memory used [KB]: 6780
% 21.95/4.37 % (19757)Time elapsed: 0.183 s
% 21.95/4.37 % (19757)Instructions burned: 581 (million)
% 21.95/4.37 % (19757)------------------------------
% 21.95/4.37 % (19757)------------------------------
% 21.95/4.38 % (19761)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_19310 for (2969ds/644Mi)
% 21.95/4.38 % (19761)Refutation not found, incomplete strategy
% 21.95/4.38 % (19761)------------------------------
% 21.95/4.38 % (19761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.95/4.38 % (19761)Termination reason: Refutation not found, incomplete strategy
% 21.95/4.38
% 21.95/4.38
% 21.95/4.38 % (19761)Memory used [KB]: 5628
% 21.95/4.38 % (19761)Time elapsed: 0.003 s
% 21.95/4.38 % (19761)Instructions burned: 7 (million)
% 21.95/4.38 % (19761)------------------------------
% 21.95/4.38 % (19761)------------------------------
% 21.95/4.38 % (19763)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_19310 for (2969ds/1201Mi)
% 21.95/4.39 % (19764)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_19310 for (2969ds/1046Mi)
% 22.99/4.46 % (19758)Instruction limit reached!
% 22.99/4.46 % (19758)------------------------------
% 22.99/4.46 % (19758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.99/4.46 % (19758)Termination reason: Unknown
% 22.99/4.46 % (19758)Termination phase: Saturation
% 22.99/4.46
% 22.99/4.46 % (19758)Memory used [KB]: 7931
% 22.99/4.46 % (19758)Time elapsed: 0.187 s
% 22.99/4.46 % (19758)Instructions burned: 643 (million)
% 22.99/4.46 % (19758)------------------------------
% 22.99/4.46 % (19758)------------------------------
% 22.99/4.47 % (19765)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_19310 for (2968ds/222Mi)
% 23.38/4.54 % (19765)Instruction limit reached!
% 23.38/4.54 % (19765)------------------------------
% 23.38/4.54 % (19765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.38/4.54 % (19765)Termination reason: Unknown
% 23.38/4.54 % (19765)Termination phase: Saturation
% 23.38/4.54
% 23.38/4.54 % (19765)Memory used [KB]: 6524
% 23.38/4.54 % (19765)Time elapsed: 0.067 s
% 23.38/4.54 % (19765)Instructions burned: 223 (million)
% 23.38/4.54 % (19765)------------------------------
% 23.38/4.54 % (19765)------------------------------
% 23.38/4.55 % (19766)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_19310 for (2967ds/68Mi)
% 23.38/4.56 % (19759)Instruction limit reached!
% 23.38/4.56 % (19759)------------------------------
% 23.38/4.56 % (19759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.38/4.56 % (19759)Termination reason: Unknown
% 23.38/4.56 % (19759)Termination phase: Saturation
% 23.38/4.56
% 23.38/4.56 % (19759)Memory used [KB]: 8059
% 23.38/4.56 % (19759)Time elapsed: 0.244 s
% 23.38/4.56 % (19759)Instructions burned: 865 (million)
% 23.38/4.56 % (19759)------------------------------
% 23.38/4.56 % (19759)------------------------------
% 23.38/4.57 % (19766)Instruction limit reached!
% 23.38/4.57 % (19766)------------------------------
% 23.38/4.57 % (19766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.38/4.57 % (19766)Termination reason: Unknown
% 23.38/4.57 % (19766)Termination phase: Saturation
% 23.38/4.57
% 23.38/4.57 % (19766)Memory used [KB]: 5884
% 23.38/4.57 % (19766)Time elapsed: 0.022 s
% 23.38/4.57 % (19766)Instructions burned: 71 (million)
% 23.38/4.57 % (19766)------------------------------
% 23.38/4.57 % (19766)------------------------------
% 23.38/4.57 % (19767)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=454:si=on:rtra=on_0 on DTF2THF_19310 for (2967ds/454Mi)
% 23.38/4.58 % (19768)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_19310 for (2967ds/360Mi)
% 23.94/4.68 % (19760)Instruction limit reached!
% 23.94/4.68 % (19760)------------------------------
% 23.94/4.68 % (19760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.94/4.68 % (19760)Termination reason: Unknown
% 23.94/4.68 % (19760)Termination phase: Saturation
% 23.94/4.68
% 23.94/4.68 % (19760)Memory used [KB]: 6524
% 23.94/4.68 % (19760)Time elapsed: 0.325 s
% 23.94/4.68 % (19760)Instructions burned: 1174 (million)
% 23.94/4.68 % (19760)------------------------------
% 23.94/4.68 % (19760)------------------------------
% 23.94/4.68 % (19764)Instruction limit reached!
% 23.94/4.68 % (19764)------------------------------
% 23.94/4.68 % (19764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.94/4.68 % (19764)Termination reason: Unknown
% 23.94/4.68 % (19764)Termination phase: Saturation
% 23.94/4.68
% 23.94/4.68 % (19764)Memory used [KB]: 8059
% 23.94/4.68 % (19764)Time elapsed: 0.296 s
% 23.94/4.68 % (19764)Instructions burned: 1048 (million)
% 23.94/4.68 % (19764)------------------------------
% 23.94/4.68 % (19764)------------------------------
% 23.94/4.68 % (19768)Instruction limit reached!
% 23.94/4.68 % (19768)------------------------------
% 23.94/4.68 % (19768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.94/4.68 % (19768)Termination reason: Unknown
% 23.94/4.68 % (19768)Termination phase: Saturation
% 23.94/4.68
% 23.94/4.68 % (19768)Memory used [KB]: 6524
% 23.94/4.68 % (19768)Time elapsed: 0.110 s
% 23.94/4.68 % (19768)Instructions burned: 361 (million)
% 23.94/4.68 % (19768)------------------------------
% 23.94/4.68 % (19768)------------------------------
% 23.94/4.69 % (19769)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_19310 for (2966ds/157Mi)
% 23.94/4.69 % (19770)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_19310 for (2966ds/5061Mi)
% 23.94/4.69 % (19771)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_19310 for (2966ds/2401Mi)
% 23.94/4.70 % (19763)Refutation not found, non-redundant clauses discarded% (19763)------------------------------
% 23.94/4.70 % (19763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.94/4.70 % (19763)Termination reason: Refutation not found, non-redundant clauses discarded
% 23.94/4.70
% 23.94/4.70 % (19763)Memory used [KB]: 7675
% 23.94/4.70 % (19763)Time elapsed: 0.313 s
% 23.94/4.70 % (19763)Instructions burned: 1146 (million)
% 23.94/4.70 % (19763)------------------------------
% 23.94/4.70 % (19763)------------------------------
% 24.91/4.71 % (19772)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_19310 for (2966ds/5798Mi)
% 24.91/4.71 % (19767)Instruction limit reached!
% 24.91/4.71 % (19767)------------------------------
% 24.91/4.71 % (19767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.91/4.71 % (19767)Termination reason: Unknown
% 24.91/4.71 % (19767)Termination phase: Saturation
% 24.91/4.71
% 24.91/4.71 % (19767)Memory used [KB]: 11769
% 24.91/4.71 % (19767)Time elapsed: 0.138 s
% 24.91/4.71 % (19767)Instructions burned: 455 (million)
% 24.91/4.71 % (19767)------------------------------
% 24.91/4.71 % (19767)------------------------------
% 24.91/4.72 % (19773)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_19310 for (2966ds/346Mi)
% 24.91/4.74 % (19769)Instruction limit reached!
% 24.91/4.74 % (19769)------------------------------
% 24.91/4.74 % (19769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.91/4.74 % (19769)Termination reason: Unknown
% 24.91/4.74 % (19769)Termination phase: Saturation
% 24.91/4.74
% 24.91/4.74 % (19769)Memory used [KB]: 5756
% 24.91/4.74 % (19769)Time elapsed: 0.049 s
% 24.91/4.74 % (19769)Instructions burned: 158 (million)
% 24.91/4.74 % (19769)------------------------------
% 24.91/4.74 % (19769)------------------------------
% 24.91/4.75 % (19774)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_19310 for (2965ds/1321Mi)
% 24.91/4.75 % (19774)Refutation not found, incomplete strategy
% 24.91/4.75 % (19774)------------------------------
% 24.91/4.75 % (19774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.91/4.75 % (19774)Termination reason: Refutation not found, incomplete strategy
% 24.91/4.75
% 24.91/4.75
% 24.91/4.75 % (19774)Memory used [KB]: 1023
% 24.91/4.75 % (19774)Time elapsed: 0.003 s
% 24.91/4.75 % (19774)Instructions burned: 5 (million)
% 24.91/4.75 % (19774)------------------------------
% 24.91/4.75 % (19774)------------------------------
% 24.91/4.76 % (19775)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_19310 for (2965ds/1312Mi)
% 24.91/4.77 % (19706)Instruction limit reached!
% 24.91/4.77 % (19706)------------------------------
% 24.91/4.77 % (19706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.91/4.77 % (19706)Termination reason: Unknown
% 24.91/4.77 % (19706)Termination phase: Saturation
% 24.91/4.77
% 24.91/4.77 % (19706)Memory used [KB]: 11257
% 24.91/4.77 % (19706)Time elapsed: 2.367 s
% 24.91/4.77 % (19706)Instructions burned: 8252 (million)
% 24.91/4.77 % (19706)------------------------------
% 24.91/4.77 % (19706)------------------------------
% 24.91/4.78 % (19776)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_19310 for (2965ds/672Mi)
% 25.63/4.82 % (19773)Instruction limit reached!
% 25.63/4.82 % (19773)------------------------------
% 25.63/4.82 % (19773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.63/4.82 % (19773)Termination reason: Unknown
% 25.63/4.82 % (19773)Termination phase: Saturation
% 25.63/4.82
% 25.63/4.82 % (19773)Memory used [KB]: 6524
% 25.63/4.82 % (19773)Time elapsed: 0.106 s
% 25.63/4.82 % (19773)Instructions burned: 347 (million)
% 25.63/4.82 % (19773)------------------------------
% 25.63/4.82 % (19773)------------------------------
% 25.63/4.83 % (19777)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_19310 for (2965ds/1897Mi)
% 25.63/4.85 % (19777)Refutation not found, incomplete strategy
% 25.63/4.85 % (19777)------------------------------
% 25.63/4.85 % (19777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.63/4.85 % (19777)Termination reason: Refutation not found, incomplete strategy
% 25.63/4.85
% 25.63/4.85
% 25.63/4.85 % (19777)Memory used [KB]: 5756
% 25.63/4.85 % (19777)Time elapsed: 0.017 s
% 25.63/4.85 % (19777)Instructions burned: 53 (million)
% 25.63/4.85 % (19777)------------------------------
% 25.63/4.85 % (19777)------------------------------
% 25.63/4.86 % (19778)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_19310 for (2964ds/1202Mi)
% 25.88/4.96 % (19776)Instruction limit reached!
% 25.88/4.96 % (19776)------------------------------
% 25.88/4.96 % (19776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.88/4.96 % (19776)Termination reason: Unknown
% 25.88/4.96 % (19776)Termination phase: Saturation
% 25.88/4.96
% 25.88/4.96 % (19776)Memory used [KB]: 6908
% 25.88/4.96 % (19776)Time elapsed: 0.178 s
% 25.88/4.96 % (19776)Instructions burned: 672 (million)
% 25.88/4.96 % (19776)------------------------------
% 25.88/4.96 % (19776)------------------------------
% 25.88/4.97 % (19779)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_19310 for (2963ds/1493Mi)
% 25.88/4.97 % (19779)Refutation not found, incomplete strategy
% 25.88/4.97 % (19779)------------------------------
% 25.88/4.97 % (19779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.88/4.97 % (19779)Termination reason: Refutation not found, incomplete strategy
% 25.88/4.97
% 25.88/4.97
% 25.88/4.97 % (19779)Memory used [KB]: 5500
% 25.88/4.97 % (19779)Time elapsed: 0.003 s
% 25.88/4.97 % (19779)Instructions burned: 5 (million)
% 25.88/4.97 % (19779)------------------------------
% 25.88/4.97 % (19779)------------------------------
% 25.88/4.98 % (19780)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_19310 for (2963ds/7679Mi)
% 28.38/5.13 % (19775)Instruction limit reached!
% 28.38/5.13 % (19775)------------------------------
% 28.38/5.13 % (19775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.38/5.13 % (19775)Termination reason: Unknown
% 28.38/5.13 % (19775)Termination phase: Saturation
% 28.38/5.13
% 28.38/5.13 % (19775)Memory used [KB]: 7419
% 28.38/5.13 % (19775)Time elapsed: 0.373 s
% 28.38/5.13 % (19775)Instructions burned: 1313 (million)
% 28.38/5.13 % (19775)------------------------------
% 28.38/5.13 % (19775)------------------------------
% 28.38/5.14 % (19781)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_19310 for (2961ds/340Mi)
% 28.38/5.20 % (19778)Instruction limit reached!
% 28.38/5.20 % (19778)------------------------------
% 28.38/5.20 % (19778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.38/5.20 % (19778)Termination reason: Unknown
% 28.38/5.20 % (19778)Termination phase: Saturation
% 28.38/5.20
% 28.38/5.20 % (19778)Memory used [KB]: 2686
% 28.38/5.20 % (19778)Time elapsed: 0.340 s
% 28.38/5.20 % (19778)Instructions burned: 1204 (million)
% 28.38/5.20 % (19778)------------------------------
% 28.38/5.20 % (19778)------------------------------
% 28.83/5.21 % (19782)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_19310 for (2961ds/3672Mi)
% 28.83/5.21 % (19782)Refutation not found, incomplete strategy
% 28.83/5.21 % (19782)------------------------------
% 28.83/5.21 % (19782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.83/5.21 % (19782)Termination reason: Refutation not found, incomplete strategy
% 28.83/5.21
% 28.83/5.21
% 28.83/5.21 % (19782)Memory used [KB]: 5628
% 28.83/5.21 % (19782)Time elapsed: 0.008 s
% 28.83/5.21 % (19782)Instructions burned: 21 (million)
% 28.83/5.21 % (19782)------------------------------
% 28.83/5.21 % (19782)------------------------------
% 28.83/5.22 % (19783)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_19310 for (2961ds/1535Mi)
% 28.83/5.24 % (19781)Instruction limit reached!
% 28.83/5.24 % (19781)------------------------------
% 28.83/5.24 % (19781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.83/5.24 % (19781)Termination reason: Unknown
% 28.83/5.24 % (19781)Termination phase: Saturation
% 28.83/5.24
% 28.83/5.24 % (19781)Memory used [KB]: 6524
% 28.83/5.24 % (19781)Time elapsed: 0.102 s
% 28.83/5.24 % (19781)Instructions burned: 340 (million)
% 28.83/5.24 % (19781)------------------------------
% 28.83/5.24 % (19781)------------------------------
% 28.83/5.25 % (19784)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_19310 for (2960ds/4637Mi)
% 29.46/5.35 % (19771)Instruction limit reached!
% 29.46/5.35 % (19771)------------------------------
% 29.46/5.35 % (19771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.46/5.35 % (19771)Termination reason: Unknown
% 29.46/5.35 % (19771)Termination phase: Saturation
% 29.46/5.35
% 29.46/5.35 % (19771)Memory used [KB]: 9338
% 29.46/5.35 % (19771)Time elapsed: 0.658 s
% 29.46/5.35 % (19771)Instructions burned: 2403 (million)
% 29.46/5.35 % (19771)------------------------------
% 29.46/5.35 % (19771)------------------------------
% 29.46/5.36 % (19785)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_19310 for (2959ds/3174Mi)
% 30.72/5.62 % (19783)Instruction limit reached!
% 30.72/5.62 % (19783)------------------------------
% 30.72/5.62 % (19783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.62 % (19783)Termination reason: Unknown
% 30.72/5.62 % (19783)Termination phase: Saturation
% 30.72/5.62
% 30.72/5.62 % (19783)Memory used [KB]: 8059
% 30.72/5.62 % (19783)Time elapsed: 0.401 s
% 30.72/5.62 % (19783)Instructions burned: 1538 (million)
% 30.72/5.62 % (19783)------------------------------
% 30.72/5.62 % (19783)------------------------------
% 30.72/5.63 % (19786)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_19310 for (2956ds/307Mi)
% 30.72/5.64 % (19750)Instruction limit reached!
% 30.72/5.64 % (19750)------------------------------
% 30.72/5.64 % (19750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.64 % (19750)Termination reason: Unknown
% 30.72/5.64 % (19750)Termination phase: Saturation
% 30.72/5.64
% 30.72/5.64 % (19750)Memory used [KB]: 9594
% 30.72/5.64 % (19750)Time elapsed: 1.703 s
% 30.72/5.64 % (19750)Instructions burned: 6455 (million)
% 30.72/5.64 % (19750)------------------------------
% 30.72/5.64 % (19750)------------------------------
% 30.72/5.65 % (19787)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_19310 for (2956ds/3619Mi)
% 30.72/5.65 % (19786)Refutation not found, incomplete strategy
% 30.72/5.65 % (19786)------------------------------
% 30.72/5.65 % (19786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.65 % (19786)Termination reason: Refutation not found, incomplete strategy
% 30.72/5.65
% 30.72/5.65
% 30.72/5.65 % (19786)Memory used [KB]: 5756
% 30.72/5.65 % (19786)Time elapsed: 0.015 s
% 30.72/5.65 % (19786)Instructions burned: 44 (million)
% 30.72/5.65 % (19786)------------------------------
% 30.72/5.65 % (19786)------------------------------
% 30.72/5.65 % (19787)Refutation not found, incomplete strategy
% 30.72/5.65 % (19787)------------------------------
% 30.72/5.65 % (19787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.65 % (19787)Termination reason: Refutation not found, incomplete strategy
% 30.72/5.65
% 30.72/5.65
% 30.72/5.65 % (19787)Memory used [KB]: 5500
% 30.72/5.65 % (19787)Time elapsed: 0.002 s
% 30.72/5.65 % (19787)Instructions burned: 3 (million)
% 30.72/5.65 % (19787)------------------------------
% 30.72/5.65 % (19787)------------------------------
% 30.72/5.66 % (19788)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_19310 for (2956ds/2325Mi)
% 30.72/5.66 % (19789)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_19310 for (2956ds/2341Mi)
% 30.72/5.66 % (19789)Refutation not found, incomplete strategy
% 30.72/5.66 % (19789)------------------------------
% 30.72/5.66 % (19789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.66 % (19789)Termination reason: Refutation not found, incomplete strategy
% 30.72/5.66
% 30.72/5.66
% 30.72/5.66 % (19789)Memory used [KB]: 5628
% 30.72/5.66 % (19789)Time elapsed: 0.007 s
% 30.72/5.66 % (19789)Instructions burned: 18 (million)
% 30.72/5.66 % (19789)------------------------------
% 30.72/5.66 % (19789)------------------------------
% 30.72/5.67 % (19790)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_19310 for (2956ds/7257Mi)
% 30.72/5.67 % (19790)Refutation not found, incomplete strategy
% 30.72/5.67 % (19790)------------------------------
% 30.72/5.67 % (19790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.67 % (19790)Termination reason: Refutation not found, incomplete strategy
% 30.72/5.67
% 30.72/5.67
% 30.72/5.67 % (19790)Memory used [KB]: 5500
% 30.72/5.67 % (19790)Time elapsed: 0.003 s
% 30.72/5.68 % (19790)Instructions burned: 5 (million)
% 30.72/5.68 % (19790)------------------------------
% 30.72/5.68 % (19790)------------------------------
% 30.72/5.68 % (19791)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_19310 for (2956ds/3710Mi)
% 34.68/6.08 % (19770)Instruction limit reached!
% 34.68/6.08 % (19770)------------------------------
% 34.68/6.08 % (19770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.68/6.08 % (19770)Termination reason: Unknown
% 34.68/6.08 % (19770)Termination phase: Saturation
% 34.68/6.08
% 34.68/6.08 % (19770)Memory used [KB]: 7803
% 34.68/6.08 % (19770)Time elapsed: 1.385 s
% 34.68/6.08 % (19770)Instructions burned: 5061 (million)
% 34.68/6.08 % (19770)------------------------------
% 34.68/6.08 % (19770)------------------------------
% 34.68/6.09 % (19792)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_19310 for (2952ds/326Mi)
% 34.68/6.09 % (19792)Refutation not found, incomplete strategy
% 34.68/6.09 % (19792)------------------------------
% 34.68/6.09 % (19792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.68/6.09 % (19792)Termination reason: Refutation not found, incomplete strategy
% 34.68/6.09
% 34.68/6.09
% 34.68/6.09 % (19792)Memory used [KB]: 5500
% 34.68/6.09 % (19792)Time elapsed: 0.003 s
% 34.68/6.09 % (19792)Instructions burned: 4 (million)
% 34.68/6.09 % (19792)------------------------------
% 34.68/6.09 % (19792)------------------------------
% 34.68/6.10 % (19793)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_19310 for (2952ds/1100Mi)
% 34.68/6.12 % (19793)Refutation not found, incomplete strategy
% 34.68/6.12 % (19793)------------------------------
% 34.68/6.12 % (19793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.68/6.12 % (19793)Termination reason: Refutation not found, incomplete strategy
% 34.68/6.12
% 34.68/6.12
% 34.68/6.12 % (19793)Memory used [KB]: 5756
% 34.68/6.12 % (19793)Time elapsed: 0.025 s
% 34.68/6.12 % (19793)Instructions burned: 71 (million)
% 34.68/6.12 % (19793)------------------------------
% 34.68/6.12 % (19793)------------------------------
% 35.39/6.13 % (19794)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_19310 for (2951ds/406Mi)
% 35.82/6.25 % (19794)Instruction limit reached!
% 35.82/6.25 % (19794)------------------------------
% 35.82/6.25 % (19794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.82/6.25 % (19794)Termination reason: Unknown
% 35.82/6.25 % (19794)Termination phase: Saturation
% 35.82/6.25
% 35.82/6.25 % (19794)Memory used [KB]: 6140
% 35.82/6.25 % (19794)Time elapsed: 0.118 s
% 35.82/6.25 % (19794)Instructions burned: 406 (million)
% 35.82/6.25 % (19794)------------------------------
% 35.82/6.25 % (19794)------------------------------
% 35.82/6.26 % (19785)Instruction limit reached!
% 35.82/6.26 % (19785)------------------------------
% 35.82/6.26 % (19785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.82/6.26 % (19785)Termination reason: Unknown
% 35.82/6.26 % (19785)Termination phase: Saturation
% 35.82/6.26
% 35.82/6.26 % (19785)Memory used [KB]: 8827
% 35.82/6.26 % (19785)Time elapsed: 0.895 s
% 35.82/6.26 % (19785)Instructions burned: 3175 (million)
% 35.82/6.26 % (19785)------------------------------
% 35.82/6.26 % (19785)------------------------------
% 35.82/6.26 % (19795)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_19310 for (2950ds/1871Mi)
% 35.82/6.27 % (19796)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_19310 for (2950ds/1194Mi)
% 36.52/6.34 % (19788)Instruction limit reached!
% 36.52/6.34 % (19788)------------------------------
% 36.52/6.34 % (19788)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.52/6.34 % (19788)Termination reason: Unknown
% 36.52/6.34 % (19788)Termination phase: Saturation
% 36.52/6.34
% 36.52/6.34 % (19788)Memory used [KB]: 8059
% 36.52/6.34 % (19788)Time elapsed: 0.684 s
% 36.52/6.34 % (19788)Instructions burned: 2325 (million)
% 36.52/6.34 % (19788)------------------------------
% 36.52/6.34 % (19788)------------------------------
% 36.52/6.35 % (19797)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_19310 for (2949ds/474Mi)
% 36.97/6.49 % (19797)Instruction limit reached!
% 36.97/6.49 % (19797)------------------------------
% 36.97/6.49 % (19797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.97/6.49 % (19797)Termination reason: Unknown
% 36.97/6.49 % (19797)Termination phase: Saturation
% 36.97/6.49
% 36.97/6.49 % (19797)Memory used [KB]: 6524
% 36.97/6.49 % (19797)Time elapsed: 0.142 s
% 36.97/6.49 % (19797)Instructions burned: 474 (million)
% 36.97/6.49 % (19797)------------------------------
% 36.97/6.49 % (19797)------------------------------
% 37.52/6.50 % (19798)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_19310 for (2948ds/3115Mi)
% 37.52/6.54 % (19772)Instruction limit reached!
% 37.52/6.54 % (19772)------------------------------
% 37.52/6.54 % (19772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.52/6.54 % (19772)Termination reason: Unknown
% 37.52/6.54 % (19772)Termination phase: Saturation
% 37.52/6.54
% 37.52/6.54 % (19772)Memory used [KB]: 5245
% 37.52/6.54 % (19772)Time elapsed: 1.836 s
% 37.52/6.54 % (19772)Instructions burned: 5798 (million)
% 37.52/6.54 % (19772)------------------------------
% 37.52/6.54 % (19772)------------------------------
% 37.52/6.55 % (19784)Instruction limit reached!
% 37.52/6.55 % (19784)------------------------------
% 37.52/6.55 % (19784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.52/6.55 % (19784)Termination reason: Unknown
% 37.52/6.55 % (19784)Termination phase: Saturation
% 37.52/6.55
% 37.52/6.55 % (19784)Memory used [KB]: 8059
% 37.52/6.55 % (19784)Time elapsed: 1.295 s
% 37.52/6.55 % (19784)Instructions burned: 4640 (million)
% 37.52/6.55 % (19784)------------------------------
% 37.52/6.55 % (19784)------------------------------
% 37.52/6.55 % (19799)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_19310 for (2947ds/831Mi)
% 37.52/6.56 % (19800)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_19310 for (2947ds/1188Mi)
% 37.84/6.60 % (19796)Instruction limit reached!
% 37.84/6.60 % (19796)------------------------------
% 37.84/6.60 % (19796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.84/6.60 % (19796)Termination reason: Unknown
% 37.84/6.60 % (19796)Termination phase: Saturation
% 37.84/6.60
% 37.84/6.60 % (19796)Memory used [KB]: 6652
% 37.84/6.60 % (19796)Time elapsed: 0.337 s
% 37.84/6.60 % (19796)Instructions burned: 1196 (million)
% 37.84/6.60 % (19796)------------------------------
% 37.84/6.60 % (19796)------------------------------
% 37.84/6.61 % (19801)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_19310 for (2947ds/2868Mi)
% 37.84/6.61 % (19801)Refutation not found, incomplete strategy
% 37.84/6.61 % (19801)------------------------------
% 37.84/6.61 % (19801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.84/6.61 % (19801)Termination reason: Refutation not found, incomplete strategy
% 37.84/6.61
% 37.84/6.61
% 37.84/6.61 % (19801)Memory used [KB]: 5500
% 37.84/6.61 % (19801)Time elapsed: 0.004 s
% 37.84/6.61 % (19801)Instructions burned: 9 (million)
% 37.84/6.61 % (19801)------------------------------
% 37.84/6.61 % (19801)------------------------------
% 37.84/6.62 % (19802)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_19310 for (2947ds/1516Mi)
% 37.84/6.62 % (19802)Refutation not found, incomplete strategy
% 37.84/6.62 % (19802)------------------------------
% 37.84/6.62 % (19802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.84/6.62 % (19802)Termination reason: Refutation not found, incomplete strategy
% 37.84/6.62
% 37.84/6.62
% 37.84/6.62 % (19802)Memory used [KB]: 5500
% 37.84/6.62 % (19802)Time elapsed: 0.002 s
% 37.84/6.62 % (19802)Instructions burned: 3 (million)
% 37.84/6.62 % (19802)------------------------------
% 37.84/6.62 % (19802)------------------------------
% 37.84/6.63 % (19803)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_19310 for (2946ds/2321Mi)
% 37.84/6.64 % (19803)Refutation not found, incomplete strategy
% 37.84/6.64 % (19803)------------------------------
% 37.84/6.64 % (19803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.84/6.64 % (19803)Termination reason: Refutation not found, incomplete strategy
% 37.84/6.64
% 37.84/6.64
% 37.84/6.64 % (19803)Memory used [KB]: 5500
% 37.84/6.64 % (19803)Time elapsed: 0.003 s
% 37.84/6.64 % (19803)Instructions burned: 7 (million)
% 37.84/6.64 % (19803)------------------------------
% 37.84/6.64 % (19803)------------------------------
% 37.84/6.65 % (19804)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_19310 for (2946ds/2812Mi)
% 38.43/6.77 % (19791)Instruction limit reached!
% 38.43/6.77 % (19791)------------------------------
% 38.43/6.77 % (19791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.43/6.77 % (19791)Termination reason: Unknown
% 38.43/6.77 % (19791)Termination phase: Saturation
% 38.43/6.77
% 38.43/6.77 % (19791)Memory used [KB]: 16247
% 38.43/6.77 % (19791)Time elapsed: 1.086 s
% 38.43/6.77 % (19791)Instructions burned: 3712 (million)
% 38.43/6.77 % (19791)------------------------------
% 38.43/6.77 % (19791)------------------------------
% 38.43/6.78 % (19805)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_19310 for (2945ds/4604Mi)
% 38.43/6.79 % (19799)Instruction limit reached!
% 38.43/6.79 % (19799)------------------------------
% 38.43/6.79 % (19799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.43/6.79 % (19799)Termination reason: Unknown
% 38.43/6.79 % (19799)Termination phase: Saturation
% 38.43/6.79
% 38.43/6.79 % (19799)Memory used [KB]: 6908
% 38.43/6.79 % (19799)Time elapsed: 0.245 s
% 38.43/6.79 % (19799)Instructions burned: 834 (million)
% 38.43/6.79 % (19799)------------------------------
% 38.43/6.79 % (19799)------------------------------
% 38.87/6.80 % (19806)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_19310 for (2945ds/2678Mi)
% 38.87/6.82 % (19795)Instruction limit reached!
% 38.87/6.82 % (19795)------------------------------
% 38.87/6.82 % (19795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.87/6.82 % (19795)Termination reason: Unknown
% 38.87/6.82 % (19795)Termination phase: Saturation
% 38.87/6.82
% 38.87/6.82 % (19795)Memory used [KB]: 9466
% 38.87/6.82 % (19795)Time elapsed: 0.567 s
% 38.87/6.82 % (19795)Instructions burned: 1871 (million)
% 38.87/6.82 % (19795)------------------------------
% 38.87/6.82 % (19795)------------------------------
% 38.87/6.83 % (19807)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_19310 for (2944ds/643Mi)
% 38.87/6.89 % (19800)Instruction limit reached!
% 38.87/6.89 % (19800)------------------------------
% 38.87/6.89 % (19800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.87/6.89 % (19800)Termination reason: Unknown
% 38.87/6.89 % (19800)Termination phase: Saturation
% 38.87/6.89
% 38.87/6.89 % (19800)Memory used [KB]: 9978
% 38.87/6.89 % (19800)Time elapsed: 0.339 s
% 38.87/6.89 % (19800)Instructions burned: 1189 (million)
% 38.87/6.89 % (19800)------------------------------
% 38.87/6.89 % (19800)------------------------------
% 39.90/6.90 % (19808)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_19310 for (2944ds/458Mi)
% 39.90/6.92 % (19808)Refutation not found, incomplete strategy
% 39.90/6.92 % (19808)------------------------------
% 39.90/6.92 % (19808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.90/6.92 % (19808)Termination reason: Refutation not found, incomplete strategy
% 39.90/6.92
% 39.90/6.92
% 39.90/6.92 % (19808)Memory used [KB]: 5628
% 39.90/6.92 % (19808)Time elapsed: 0.018 s
% 39.90/6.92 % (19808)Instructions burned: 57 (million)
% 39.90/6.92 % (19808)------------------------------
% 39.90/6.92 % (19808)------------------------------
% 39.90/6.93 % (19809)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_19310 for (2944ds/2546Mi)
% 39.90/6.96 % (19780)Instruction limit reached!
% 39.90/6.96 % (19780)------------------------------
% 39.90/6.96 % (19780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.90/6.96 % (19780)Termination reason: Unknown
% 39.90/6.96 % (19780)Termination phase: Saturation
% 39.90/6.96
% 39.90/6.96 % (19780)Memory used [KB]: 17526
% 39.90/6.96 % (19780)Time elapsed: 1.984 s
% 39.90/6.96 % (19780)Instructions burned: 7679 (million)
% 39.90/6.96 % (19780)------------------------------
% 39.90/6.96 % (19780)------------------------------
% 39.90/6.97 % (19810)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_19310 for (2943ds/1432Mi)
% 39.90/7.02 % (19807)Instruction limit reached!
% 39.90/7.02 % (19807)------------------------------
% 39.90/7.02 % (19807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.90/7.02 % (19807)Termination reason: Unknown
% 39.90/7.02 % (19807)Termination phase: Saturation
% 39.90/7.02
% 39.90/7.02 % (19807)Memory used [KB]: 8059
% 39.90/7.02 % (19807)Time elapsed: 0.186 s
% 39.90/7.02 % (19807)Instructions burned: 645 (million)
% 39.90/7.02 % (19807)------------------------------
% 39.90/7.02 % (19807)------------------------------
% 41.69/7.03 % (19811)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_19310 for (2943ds/386Mi)
% 42.32/7.14 % (19811)Instruction limit reached!
% 42.32/7.14 % (19811)------------------------------
% 42.32/7.14 % (19811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.32/7.14 % (19811)Termination reason: Unknown
% 42.32/7.14 % (19811)Termination phase: Saturation
% 42.32/7.14
% 42.32/7.14 % (19811)Memory used [KB]: 7803
% 42.32/7.14 % (19811)Time elapsed: 0.115 s
% 42.32/7.14 % (19811)Instructions burned: 386 (million)
% 42.32/7.14 % (19811)------------------------------
% 42.32/7.14 % (19811)------------------------------
% 42.32/7.15 % (19812)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_19310 for (2941ds/360Mi)
% 42.88/7.26 % (19812)Instruction limit reached!
% 42.88/7.26 % (19812)------------------------------
% 42.88/7.26 % (19812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.88/7.26 % (19812)Termination reason: Unknown
% 42.88/7.26 % (19812)Termination phase: Saturation
% 42.88/7.26
% 42.88/7.26 % (19812)Memory used [KB]: 6524
% 42.88/7.26 % (19812)Time elapsed: 0.105 s
% 42.88/7.26 % (19812)Instructions burned: 361 (million)
% 42.88/7.26 % (19812)------------------------------
% 42.88/7.26 % (19812)------------------------------
% 42.88/7.27 % (19813)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_19310 for (2940ds/5446Mi)
% 43.59/7.34 % (19813)Refutation not found, incomplete strategy
% 43.59/7.34 % (19813)------------------------------
% 43.59/7.34 % (19813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.59/7.34 % (19813)Termination reason: Refutation not found, incomplete strategy
% 43.59/7.34
% 43.59/7.34
% 43.59/7.34 % (19813)Memory used [KB]: 5884
% 43.59/7.34 % (19813)Time elapsed: 0.078 s
% 43.59/7.34 % (19813)Instructions burned: 274 (million)
% 43.59/7.34 % (19813)------------------------------
% 43.59/7.34 % (19813)------------------------------
% 43.59/7.35 % (19814)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_19310 for (2939ds/2573Mi)
% 43.59/7.39 % (19810)Instruction limit reached!
% 43.59/7.39 % (19810)------------------------------
% 43.59/7.39 % (19810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.59/7.39 % (19810)Termination reason: Unknown
% 43.59/7.39 % (19810)Termination phase: Saturation
% 43.59/7.39
% 43.59/7.39 % (19810)Memory used [KB]: 8443
% 43.59/7.39 % (19810)Time elapsed: 0.420 s
% 43.59/7.39 % (19810)Instructions burned: 1433 (million)
% 43.59/7.39 % (19810)------------------------------
% 43.59/7.39 % (19810)------------------------------
% 44.28/7.40 % (19815)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=2655:si=on:rtra=on_0 on DTF2THF_19310 for (2939ds/2655Mi)
% 44.28/7.42 % (19804)Instruction limit reached!
% 44.28/7.42 % (19804)------------------------------
% 44.28/7.42 % (19804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.28/7.42 % (19804)Termination reason: Unknown
% 44.28/7.42 % (19804)Termination phase: Saturation
% 44.28/7.42
% 44.28/7.42 % (19804)Memory used [KB]: 7547
% 44.28/7.42 % (19804)Time elapsed: 0.773 s
% 44.28/7.42 % (19804)Instructions burned: 2813 (million)
% 44.28/7.42 % (19804)------------------------------
% 44.28/7.42 % (19804)------------------------------
% 44.28/7.43 % (19816)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_19310 for (2939ds/2781Mi)
% 44.28/7.44 % (19798)Instruction limit reached!
% 44.28/7.44 % (19798)------------------------------
% 44.28/7.44 % (19798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.28/7.44 % (19798)Termination reason: Unknown
% 44.28/7.44 % (19798)Termination phase: Saturation
% 44.28/7.44
% 44.28/7.44 % (19798)Memory used [KB]: 7931
% 44.28/7.44 % (19798)Time elapsed: 0.938 s
% 44.28/7.44 % (19798)Instructions burned: 3117 (million)
% 44.28/7.44 % (19798)------------------------------
% 44.28/7.44 % (19798)------------------------------
% 44.28/7.45 % (19817)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_19310 for (2938ds/307Mi)
% 44.28/7.46 % (19817)Refutation not found, incomplete strategy
% 44.28/7.46 % (19817)------------------------------
% 44.28/7.46 % (19817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.28/7.46 % (19817)Termination reason: Refutation not found, incomplete strategy
% 44.28/7.46
% 44.28/7.46
% 44.28/7.46 % (19817)Memory used [KB]: 5756
% 44.28/7.46 % (19817)Time elapsed: 0.014 s
% 44.28/7.46 % (19817)Instructions burned: 41 (million)
% 44.28/7.46 % (19817)------------------------------
% 44.28/7.46 % (19817)------------------------------
% 44.28/7.47 % (19818)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_19310 for (2938ds/1548Mi)
% 44.28/7.47 % (19818)Refutation not found, incomplete strategy
% 44.28/7.47 % (19818)------------------------------
% 44.28/7.47 % (19818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.28/7.47 % (19818)Termination reason: Refutation not found, incomplete strategy
% 44.28/7.47
% 44.28/7.47
% 44.28/7.47 % (19818)Memory used [KB]: 5500
% 44.28/7.47 % (19818)Time elapsed: 0.002 s
% 44.28/7.47 % (19818)Instructions burned: 3 (million)
% 44.28/7.47 % (19818)------------------------------
% 44.28/7.47 % (19818)------------------------------
% 44.28/7.48 % (19819)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_19310 for (2938ds/5214Mi)
% 44.28/7.49 % (19806)Instruction limit reached!
% 44.28/7.49 % (19806)------------------------------
% 44.28/7.49 % (19806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.28/7.49 % (19806)Termination reason: Unknown
% 44.28/7.49 % (19806)Termination phase: Saturation
% 44.28/7.49
% 44.28/7.49 % (19806)Memory used [KB]: 10874
% 44.28/7.49 % (19806)Time elapsed: 0.683 s
% 44.28/7.49 % (19806)Instructions burned: 2680 (million)
% 44.28/7.49 % (19806)------------------------------
% 44.28/7.49 % (19806)------------------------------
% 44.28/7.50 % (19820)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_19310 for (2938ds/3201Mi)
% 44.91/7.69 % (19809)Instruction limit reached!
% 44.91/7.69 % (19809)------------------------------
% 44.91/7.69 % (19809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.91/7.69 % (19809)Termination reason: Unknown
% 44.91/7.69 % (19809)Termination phase: Saturation
% 44.91/7.69
% 44.91/7.69 % (19809)Memory used [KB]: 8571
% 44.91/7.69 % (19809)Time elapsed: 0.760 s
% 44.91/7.69 % (19809)Instructions burned: 2546 (million)
% 44.91/7.69 % (19809)------------------------------
% 44.91/7.69 % (19809)------------------------------
% 45.11/7.70 % (19821)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=454:si=on:rtra=on_0 on DTF2THF_19310 for (2936ds/454Mi)
% 45.21/7.83 % (19821)Instruction limit reached!
% 45.21/7.83 % (19821)------------------------------
% 45.21/7.83 % (19821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.21/7.83 % (19821)Termination reason: Unknown
% 45.21/7.83 % (19821)Termination phase: Saturation
% 45.21/7.83
% 45.21/7.83 % (19821)Memory used [KB]: 11769
% 45.21/7.83 % (19821)Time elapsed: 0.132 s
% 45.21/7.83 % (19821)Instructions burned: 456 (million)
% 45.21/7.83 % (19821)------------------------------
% 45.21/7.83 % (19821)------------------------------
% 45.21/7.84 % (19822)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_19310 for (2934ds/3049Mi)
% 48.72/8.07 % (19805)Instruction limit reached!
% 48.72/8.07 % (19805)------------------------------
% 48.72/8.07 % (19805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.72/8.07 % (19805)Termination reason: Unknown
% 48.72/8.07 % (19805)Termination phase: Saturation
% 48.72/8.07
% 48.72/8.07 % (19805)Memory used [KB]: 11385
% 48.72/8.07 % (19805)Time elapsed: 1.296 s
% 48.72/8.07 % (19805)Instructions burned: 4605 (million)
% 48.72/8.07 % (19805)------------------------------
% 48.72/8.07 % (19805)------------------------------
% 48.72/8.09 % (19823)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_19310 for (2932ds/7311Mi)
% 48.72/8.10 % (19814)Instruction limit reached!
% 48.72/8.10 % (19814)------------------------------
% 48.72/8.10 % (19814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.72/8.10 % (19814)Termination reason: Unknown
% 48.72/8.10 % (19814)Termination phase: Saturation
% 48.72/8.10
% 48.72/8.10 % (19814)Memory used [KB]: 8955
% 48.72/8.10 % (19814)Time elapsed: 0.752 s
% 48.72/8.10 % (19814)Instructions burned: 2573 (million)
% 48.72/8.10 % (19814)------------------------------
% 48.72/8.10 % (19814)------------------------------
% 48.72/8.11 % (19824)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_19310 for (2932ds/6804Mi)
% 48.72/8.11 % (19824)Refutation not found, incomplete strategy
% 48.72/8.11 % (19824)------------------------------
% 48.72/8.11 % (19824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.72/8.11 % (19824)Termination reason: Refutation not found, incomplete strategy
% 48.72/8.11
% 48.72/8.11
% 48.72/8.11 % (19824)Memory used [KB]: 5500
% 48.72/8.11 % (19824)Time elapsed: 0.002 s
% 48.72/8.11 % (19824)Instructions burned: 3 (million)
% 48.72/8.11 % (19824)------------------------------
% 48.72/8.11 % (19824)------------------------------
% 48.72/8.12 % (19825)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_19310 for (2932ds/1683Mi)
% 49.40/8.13 % (19815)Instruction limit reached!
% 49.40/8.13 % (19815)------------------------------
% 49.40/8.13 % (19815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.40/8.13 % (19815)Termination reason: Unknown
% 49.40/8.13 % (19815)Termination phase: Saturation
% 49.40/8.13
% 49.40/8.13 % (19815)Memory used [KB]: 22643
% 49.40/8.13 % (19815)Time elapsed: 0.726 s
% 49.40/8.13 % (19815)Instructions burned: 2655 (million)
% 49.40/8.13 % (19815)------------------------------
% 49.40/8.13 % (19815)------------------------------
% 49.40/8.14 % (19826)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_19310 for (2931ds/4688Mi)
% 49.69/8.28 % (19816)Instruction limit reached!
% 49.69/8.28 % (19816)------------------------------
% 49.69/8.28 % (19816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.69/8.28 % (19816)Termination reason: Unknown
% 49.69/8.28 % (19816)Termination phase: Saturation
% 49.69/8.28
% 49.69/8.28 % (19816)Memory used [KB]: 2686
% 49.69/8.28 % (19816)Time elapsed: 0.855 s
% 49.69/8.28 % (19816)Instructions burned: 2784 (million)
% 49.69/8.28 % (19816)------------------------------
% 49.69/8.28 % (19816)------------------------------
% 49.69/8.29 % (19827)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_19310 for (2930ds/2207Mi)
% 50.10/8.39 % (19820)Instruction limit reached!
% 50.10/8.39 % (19820)------------------------------
% 50.10/8.39 % (19820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.10/8.39 % (19820)Termination reason: Unknown
% 50.10/8.39 % (19820)Termination phase: Saturation
% 50.10/8.39
% 50.10/8.39 % (19820)Memory used [KB]: 8955
% 50.10/8.39 % (19820)Time elapsed: 0.896 s
% 50.10/8.39 % (19820)Instructions burned: 3201 (million)
% 50.10/8.39 % (19820)------------------------------
% 50.10/8.39 % (19820)------------------------------
% 50.40/8.40 % (19828)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=8216:si=on:rtra=on_0 on DTF2THF_19310 for (2929ds/8216Mi)
% 50.80/8.60 % (19825)Instruction limit reached!
% 50.80/8.60 % (19825)------------------------------
% 50.80/8.60 % (19825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.80/8.60 % (19825)Termination reason: Unknown
% 50.80/8.60 % (19825)Termination phase: Saturation
% 50.80/8.60
% 50.80/8.60 % (19825)Memory used [KB]: 7419
% 50.80/8.60 % (19825)Time elapsed: 0.478 s
% 50.80/8.60 % (19825)Instructions burned: 1685 (million)
% 50.80/8.60 % (19825)------------------------------
% 50.80/8.60 % (19825)------------------------------
% 50.80/8.61 % (19829)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_19310 for (2927ds/430Mi)
% 50.80/8.63 % (19829)Refutation not found, incomplete strategy
% 50.80/8.63 % (19829)------------------------------
% 50.80/8.63 % (19829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.80/8.63 % (19829)Termination reason: Refutation not found, incomplete strategy
% 50.80/8.63
% 50.80/8.63
% 50.80/8.63 % (19829)Memory used [KB]: 5628
% 50.80/8.63 % (19829)Time elapsed: 0.021 s
% 50.80/8.63 % (19829)Instructions burned: 64 (million)
% 50.80/8.63 % (19829)------------------------------
% 50.80/8.63 % (19829)------------------------------
% 50.80/8.64 % (19830)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_19310 for (2926ds/2012Mi)
% 51.53/8.71 % (19822)Instruction limit reached!
% 51.53/8.71 % (19822)------------------------------
% 51.53/8.71 % (19822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.53/8.71 % (19822)Termination reason: Unknown
% 51.53/8.71 % (19822)Termination phase: Saturation
% 51.53/8.71
% 51.53/8.71 % (19822)Memory used [KB]: 11257
% 51.53/8.71 % (19822)Time elapsed: 0.867 s
% 51.53/8.71 % (19822)Instructions burned: 3049 (million)
% 51.53/8.71 % (19822)------------------------------
% 51.53/8.71 % (19822)------------------------------
% 51.53/8.72 % (19831)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_19310 for (2926ds/631Mi)
% 51.53/8.72 % (19831)Refutation not found, incomplete strategy
% 51.53/8.72 % (19831)------------------------------
% 51.53/8.72 % (19831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.53/8.72 % (19831)Termination reason: Refutation not found, incomplete strategy
% 51.53/8.72
% 51.53/8.72
% 51.53/8.72 % (19831)Memory used [KB]: 5628
% 51.53/8.72 % (19831)Time elapsed: 0.004 s
% 51.53/8.72 % (19831)Instructions burned: 6 (million)
% 51.53/8.72 % (19831)------------------------------
% 51.53/8.72 % (19831)------------------------------
% 51.53/8.73 % (19832)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_19310 for (2925ds/8785Mi)
% 51.66/8.89 % (19827)Instruction limit reached!
% 51.66/8.89 % (19827)------------------------------
% 51.66/8.89 % (19827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.66/8.89 % (19827)Termination reason: Unknown
% 51.66/8.89 % (19827)Termination phase: Saturation
% 51.66/8.89
% 51.66/8.89 % (19827)Memory used [KB]: 6780
% 51.66/8.89 % (19827)Time elapsed: 0.600 s
% 51.66/8.89 % (19827)Instructions burned: 2209 (million)
% 51.66/8.89 % (19827)------------------------------
% 51.66/8.89 % (19827)------------------------------
% 52.36/8.90 % (19833)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_19310 for (2924ds/739Mi)
% 52.36/8.99 % (19819)Instruction limit reached!
% 52.36/8.99 % (19819)------------------------------
% 52.36/8.99 % (19819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.36/8.99 % (19819)Termination reason: Unknown
% 52.36/8.99 % (19819)Termination phase: Saturation
% 52.36/8.99
% 52.36/8.99 % (19819)Memory used [KB]: 14711
% 52.36/8.99 % (19819)Time elapsed: 1.508 s
% 52.36/8.99 % (19819)Instructions burned: 5215 (million)
% 52.36/8.99 % (19819)------------------------------
% 52.36/8.99 % (19819)------------------------------
% 52.36/9.00 % (19834)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_19310 for (2923ds/5473Mi)
% 55.72/9.11 % (19833)Instruction limit reached!
% 55.72/9.11 % (19833)------------------------------
% 55.72/9.11 % (19833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.72/9.11 % (19833)Termination reason: Unknown
% 55.72/9.11 % (19833)Termination phase: Saturation
% 55.72/9.11
% 55.72/9.11 % (19833)Memory used [KB]: 6524
% 55.72/9.11 % (19833)Time elapsed: 0.213 s
% 55.72/9.11 % (19833)Instructions burned: 741 (million)
% 55.72/9.11 % (19833)------------------------------
% 55.72/9.11 % (19833)------------------------------
% 55.72/9.12 % (19835)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_19310 for (2922ds/43570Mi)
% 55.72/9.12 % (19835)Refutation not found, incomplete strategy
% 55.72/9.12 % (19835)------------------------------
% 55.72/9.12 % (19835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.72/9.12 % (19835)Termination reason: Refutation not found, incomplete strategy
% 55.72/9.12
% 55.72/9.12
% 55.72/9.12 % (19835)Memory used [KB]: 5500
% 55.72/9.12 % (19835)Time elapsed: 0.002 s
% 55.72/9.12 % (19835)Instructions burned: 3 (million)
% 55.72/9.12 % (19835)------------------------------
% 55.72/9.12 % (19835)------------------------------
% 56.45/9.13 % (19836)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_19310 for (2921ds/8382Mi)
% 56.91/9.21 % (19830)Instruction limit reached!
% 56.91/9.21 % (19830)------------------------------
% 56.91/9.21 % (19830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.91/9.21 % (19830)Termination reason: Unknown
% 56.91/9.21 % (19830)Termination phase: Saturation
% 56.91/9.21
% 56.91/9.21 % (19830)Memory used [KB]: 22515
% 56.91/9.21 % (19830)Time elapsed: 0.567 s
% 56.91/9.21 % (19830)Instructions burned: 2014 (million)
% 56.91/9.21 % (19830)------------------------------
% 56.91/9.21 % (19830)------------------------------
% 56.91/9.22 % (19837)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_19310 for (2921ds/407Mi)
% 57.44/9.33 % (19826)Instruction limit reached!
% 57.44/9.33 % (19826)------------------------------
% 57.44/9.33 % (19826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.44/9.33 % (19826)Termination reason: Unknown
% 57.44/9.33 % (19826)Termination phase: Saturation
% 57.44/9.33
% 57.44/9.33 % (19826)Memory used [KB]: 3709
% 57.44/9.33 % (19826)Time elapsed: 1.197 s
% 57.44/9.33 % (19826)Instructions burned: 4688 (million)
% 57.44/9.33 % (19826)------------------------------
% 57.44/9.33 % (19826)------------------------------
% 57.44/9.34 % (19837)Instruction limit reached!
% 57.44/9.34 % (19837)------------------------------
% 57.44/9.34 % (19837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.44/9.34 % (19837)Termination reason: Unknown
% 57.44/9.34 % (19837)Termination phase: Saturation
% 57.44/9.34
% 57.44/9.34 % (19837)Memory used [KB]: 7547
% 57.44/9.34 % (19837)Time elapsed: 0.121 s
% 57.44/9.34 % (19837)Instructions burned: 408 (million)
% 57.44/9.34 % (19837)------------------------------
% 57.44/9.34 % (19837)------------------------------
% 57.44/9.34 % (19838)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_19310 for (2919ds/2971Mi)
% 57.44/9.35 % (19838)Refutation not found, incomplete strategy
% 57.44/9.35 % (19838)------------------------------
% 57.44/9.35 % (19838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.44/9.35 % (19838)Termination reason: Refutation not found, incomplete strategy
% 57.44/9.35
% 57.44/9.35
% 57.44/9.35 % (19838)Memory used [KB]: 5500
% 57.44/9.35 % (19838)Time elapsed: 0.003 s
% 57.44/9.35 % (19838)Instructions burned: 6 (million)
% 57.44/9.35 % (19838)------------------------------
% 57.44/9.35 % (19838)------------------------------
% 57.44/9.35 % (19839)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_19310 for (2919ds/9822Mi)
% 57.44/9.35 % (19839)Refutation not found, incomplete strategy
% 57.44/9.35 % (19839)------------------------------
% 57.44/9.35 % (19839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.44/9.35 % (19839)Termination reason: Refutation not found, incomplete strategy
% 57.44/9.35
% 57.44/9.35
% 57.44/9.35 % (19839)Memory used [KB]: 5500
% 57.44/9.35 % (19839)Time elapsed: 0.003 s
% 57.44/9.35 % (19839)Instructions burned: 6 (million)
% 57.44/9.35 % (19839)------------------------------
% 57.44/9.35 % (19839)------------------------------
% 57.44/9.36 % (19841)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_19310 for (2919ds/3107Mi)
% 57.44/9.36 % (19840)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_19310 for (2919ds/8425Mi)
% 59.64/9.86 % (19823)Instruction limit reached!
% 59.64/9.86 % (19823)------------------------------
% 59.64/9.86 % (19823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.64/9.86 % (19823)Termination reason: Unknown
% 59.64/9.86 % (19823)Termination phase: Saturation
% 59.64/9.86
% 59.64/9.86 % (19823)Memory used [KB]: 9594
% 59.64/9.86 % (19823)Time elapsed: 1.774 s
% 59.64/9.86 % (19823)Instructions burned: 7313 (million)
% 59.64/9.86 % (19823)------------------------------
% 59.64/9.86 % (19823)------------------------------
% 59.64/9.87 % (19842)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_19310 for (2914ds/7967Mi)
% 59.64/9.87 % (19842)Refutation not found, incomplete strategy
% 59.64/9.87 % (19842)------------------------------
% 59.64/9.87 % (19842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.64/9.87 % (19842)Termination reason: Refutation not found, incomplete strategy
% 59.64/9.87
% 59.64/9.87
% 59.64/9.87 % (19842)Memory used [KB]: 5500
% 59.64/9.87 % (19842)Time elapsed: 0.004 s
% 59.64/9.87 % (19842)Instructions burned: 7 (million)
% 59.64/9.87 % (19842)------------------------------
% 59.64/9.87 % (19842)------------------------------
% 59.64/9.88 % (19843)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_19310 for (2914ds/3629Mi)
% 63.37/10.19 % (19841)Instruction limit reached!
% 63.37/10.19 % (19841)------------------------------
% 63.37/10.19 % (19841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.37/10.19 % (19841)Termination reason: Unknown
% 63.37/10.19 % (19841)Termination phase: Saturation
% 63.37/10.19
% 63.37/10.19 % (19841)Memory used [KB]: 6396
% 63.37/10.19 % (19841)Time elapsed: 0.836 s
% 63.37/10.19 % (19841)Instructions burned: 3110 (million)
% 63.37/10.19 % (19841)------------------------------
% 63.37/10.19 % (19841)------------------------------
% 63.99/10.20 % (19844)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on DTF2THF_19310 for (2911ds/939Mi)
% 65.19/10.48 % (19844)Instruction limit reached!
% 65.19/10.48 % (19844)------------------------------
% 65.19/10.48 % (19844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.19/10.48 % (19844)Termination reason: Unknown
% 65.19/10.48 % (19844)Termination phase: Saturation
% 65.19/10.48
% 65.19/10.48 % (19844)Memory used [KB]: 6652
% 65.19/10.48 % (19844)Time elapsed: 0.277 s
% 65.19/10.48 % (19844)Instructions burned: 940 (million)
% 65.19/10.48 % (19844)------------------------------
% 65.19/10.48 % (19844)------------------------------
% 65.19/10.49 % (19845)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_19310 for (2908ds/1188Mi)
% 66.08/10.50 % (19828)Instruction limit reached!
% 66.08/10.50 % (19828)------------------------------
% 66.08/10.50 % (19828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.08/10.50 % (19828)Termination reason: Unknown
% 66.08/10.50 % (19828)Termination phase: Saturation
% 66.08/10.50
% 66.08/10.50 % (19828)Memory used [KB]: 9850
% 66.08/10.50 % (19828)Time elapsed: 2.099 s
% 66.08/10.50 % (19828)Instructions burned: 8219 (million)
% 66.08/10.50 % (19828)------------------------------
% 66.08/10.50 % (19828)------------------------------
% 66.08/10.51 % (19846)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on DTF2THF_19310 for (2908ds/3205Mi)
% 66.59/10.60 % (19834)Instruction limit reached!
% 66.59/10.60 % (19834)------------------------------
% 66.59/10.60 % (19834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.59/10.60 % (19834)Termination reason: Unknown
% 66.59/10.60 % (19834)Termination phase: Saturation
% 66.59/10.60
% 66.59/10.60 % (19834)Memory used [KB]: 10618
% 66.59/10.60 % (19834)Time elapsed: 1.602 s
% 66.59/10.60 % (19834)Instructions burned: 5475 (million)
% 66.59/10.60 % (19834)------------------------------
% 66.59/10.60 % (19834)------------------------------
% 66.59/10.61 % (19847)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_19310 for (2907ds/865Mi)
% 67.40/10.84 % (19845)Instruction limit reached!
% 67.40/10.84 % (19845)------------------------------
% 67.40/10.84 % (19845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 67.40/10.84 % (19845)Termination reason: Unknown
% 67.40/10.84 % (19845)Termination phase: Saturation
% 67.40/10.84
% 67.40/10.84 % (19845)Memory used [KB]: 9850
% 67.40/10.84 % (19845)Time elapsed: 0.350 s
% 67.40/10.84 % (19845)Instructions burned: 1189 (million)
% 67.40/10.84 % (19845)------------------------------
% 67.40/10.84 % (19845)------------------------------
% 67.40/10.85 % (19848)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on DTF2THF_19310 for (2904ds/7469Mi)
% 67.40/10.86 % (19848)Refutation not found, incomplete strategy
% 67.40/10.86 % (19848)------------------------------
% 67.40/10.86 % (19848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 67.40/10.86 % (19848)Termination reason: Refutation not found, incomplete strategy
% 67.40/10.86
% 67.40/10.86
% 67.40/10.86 % (19848)Memory used [KB]: 5628
% 67.40/10.86 % (19848)Time elapsed: 0.011 s
% 67.40/10.86 % (19848)Instructions burned: 31 (million)
% 67.40/10.86 % (19848)------------------------------
% 67.40/10.86 % (19848)------------------------------
% 67.40/10.86 % (19847)Instruction limit reached!
% 67.40/10.86 % (19847)------------------------------
% 67.40/10.86 % (19847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 67.40/10.86 % (19847)Termination reason: Unknown
% 67.40/10.86 % (19847)Termination phase: Saturation
% 67.40/10.86
% 67.40/10.86 % (19847)Memory used [KB]: 8059
% 67.40/10.86 % (19847)Time elapsed: 0.252 s
% 67.40/10.86 % (19847)Instructions burned: 867 (million)
% 67.40/10.86 % (19847)------------------------------
% 67.40/10.86 % (19847)------------------------------
% 67.40/10.87 % (19849)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on DTF2THF_19310 for (2904ds/4165Mi)
% 67.40/10.87 % (19850)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on DTF2THF_19310 for (2904ds/13468Mi)
% 67.40/10.87 % (19850)Refutation not found, incomplete strategy
% 67.40/10.87 % (19850)------------------------------
% 67.40/10.87 % (19850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 67.40/10.87 % (19850)Termination reason: Refutation not found, incomplete strategy
% 67.40/10.87
% 67.40/10.87
% 67.40/10.87 % (19850)Memory used [KB]: 5500
% 67.40/10.87 % (19850)Time elapsed: 0.005 s
% 67.40/10.87 % (19850)Instructions burned: 13 (million)
% 67.40/10.87 % (19850)------------------------------
% 67.40/10.87 % (19850)------------------------------
% 67.40/10.88 % (19851)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on DTF2THF_19310 for (2904ds/2635Mi)
% 67.40/10.89 % (19851)Refutation not found, incomplete strategy
% 67.40/10.89 % (19851)------------------------------
% 67.40/10.89 % (19851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 67.40/10.89 % (19851)Termination reason: Refutation not found, incomplete strategy
% 67.40/10.89
% 67.40/10.89
% 67.40/10.89 % (19851)Memory used [KB]: 5628
% 67.40/10.89 % (19851)Time elapsed: 0.011 s
% 67.40/10.89 % (19851)Instructions burned: 34 (million)
% 67.40/10.89 % (19851)------------------------------
% 67.40/10.89 % (19851)------------------------------
% 68.48/10.90 % (19852)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on DTF2THF_19310 for (2904ds/631Mi)
% 68.48/11.00 % (19843)Instruction limit reached!
% 68.48/11.00 % (19843)------------------------------
% 68.48/11.00 % (19843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.48/11.00 % (19843)Termination reason: Unknown
% 68.48/11.00 % (19843)Termination phase: Saturation
% 68.48/11.00
% 68.48/11.00 % (19843)Memory used [KB]: 11385
% 68.48/11.00 % (19843)Time elapsed: 1.118 s
% 68.48/11.00 % (19843)Instructions burned: 3631 (million)
% 68.48/11.00 % (19843)------------------------------
% 68.48/11.00 % (19843)------------------------------
% 68.48/11.01 % (19853)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on DTF2THF_19310 for (2903ds/15557Mi)
% 69.76/11.09 % (19852)Instruction limit reached!
% 69.76/11.09 % (19852)------------------------------
% 69.76/11.09 % (19852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.76/11.09 % (19852)Termination reason: Unknown
% 69.76/11.09 % (19852)Termination phase: Saturation
% 69.76/11.09
% 69.76/11.09 % (19852)Memory used [KB]: 7803
% 69.76/11.09 % (19852)Time elapsed: 0.185 s
% 69.76/11.09 % (19852)Instructions burned: 633 (million)
% 69.76/11.09 % (19852)------------------------------
% 69.76/11.09 % (19852)------------------------------
% 69.76/11.10 % (19854)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on DTF2THF_19310 for (2902ds/2142Mi)
% 69.76/11.10 % (19854)Refutation not found, incomplete strategy
% 69.76/11.10 % (19854)------------------------------
% 69.76/11.10 % (19854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.76/11.10 % (19854)Termination reason: Refutation not found, incomplete strategy
% 69.76/11.10
% 69.76/11.10
% 69.76/11.10 % (19854)Memory used [KB]: 5628
% 69.76/11.10 % (19854)Time elapsed: 0.007 s
% 69.76/11.10 % (19854)Instructions burned: 18 (million)
% 69.76/11.10 % (19854)------------------------------
% 69.76/11.10 % (19854)------------------------------
% 69.76/11.11 % (19855)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on DTF2THF_19310 for (2902ds/5624Mi)
% 69.76/11.12 % (19855)Refutation not found, incomplete strategy
% 69.76/11.12 % (19855)------------------------------
% 69.76/11.12 % (19855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.76/11.12 % (19855)Termination reason: Refutation not found, incomplete strategy
% 69.76/11.12
% 69.76/11.12
% 69.76/11.12 % (19855)Memory used [KB]: 5628
% 69.76/11.12 % (19855)Time elapsed: 0.011 s
% 69.76/11.12 % (19855)Instructions burned: 30 (million)
% 69.76/11.12 % (19855)------------------------------
% 69.76/11.12 % (19855)------------------------------
% 70.38/11.13 % (19856)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on DTF2THF_19310 for (2902ds/1665Mi)
% 70.38/11.15 % (19856)Refutation not found, incomplete strategy
% 70.38/11.15 % (19856)------------------------------
% 70.38/11.15 % (19856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.38/11.15 % (19856)Termination reason: Refutation not found, incomplete strategy
% 70.38/11.15
% 70.38/11.15
% 70.38/11.15 % (19856)Memory used [KB]: 5628
% 70.38/11.15 % (19856)Time elapsed: 0.018 s
% 70.38/11.15 % (19856)Instructions burned: 57 (million)
% 70.38/11.15 % (19856)------------------------------
% 70.38/11.15 % (19856)------------------------------
% 70.38/11.16 % (19857)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on DTF2THF_19310 for (2901ds/64912Mi)
% 70.38/11.16 % (19857)Refutation not found, incomplete strategy
% 70.38/11.16 % (19857)------------------------------
% 70.38/11.16 % (19857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.38/11.16 % (19857)Termination reason: Refutation not found, incomplete strategy
% 70.38/11.16
% 70.38/11.16
% 70.38/11.16 % (19857)Memory used [KB]: 1023
% 70.38/11.16 % (19857)Time elapsed: 0.002 s
% 70.38/11.16 % (19857)Instructions burned: 3 (million)
% 70.38/11.16 % (19857)------------------------------
% 70.38/11.16 % (19857)------------------------------
% 70.38/11.16 % (19832)Instruction limit reached!
% 70.38/11.16 % (19832)------------------------------
% 70.38/11.16 % (19832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.38/11.16 % (19832)Termination reason: Unknown
% 70.38/11.16 % (19832)Termination phase: Saturation
% 70.38/11.16
% 70.38/11.16 % (19832)Memory used [KB]: 10106
% 70.38/11.16 % (19832)Time elapsed: 2.436 s
% 70.38/11.16 % (19832)Instructions burned: 8786 (million)
% 70.38/11.16 % (19832)------------------------------
% 70.38/11.16 % (19832)------------------------------
% 70.38/11.17 % (19858)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on DTF2THF_19310 for (2901ds/7801Mi)
% 70.38/11.17 % (19859)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on DTF2THF_19310 for (2901ds/15194Mi)
% 71.56/11.42 % (19846)Instruction limit reached!
% 71.56/11.42 % (19846)------------------------------
% 71.56/11.42 % (19846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.56/11.42 % (19846)Termination reason: Unknown
% 71.56/11.42 % (19846)Termination phase: Saturation
% 71.56/11.42
% 71.56/11.42 % (19846)Memory used [KB]: 8571
% 71.56/11.42 % (19846)Time elapsed: 0.911 s
% 71.56/11.42 % (19846)Instructions burned: 3208 (million)
% 71.56/11.42 % (19846)------------------------------
% 71.56/11.42 % (19846)------------------------------
% 71.56/11.43 % (19860)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=6753:si=on:rtra=on_0 on DTF2THF_19310 for (2899ds/6753Mi)
% 71.56/11.43 % (19860)Refutation not found, incomplete strategy
% 71.56/11.43 % (19860)------------------------------
% 71.56/11.43 % (19860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.56/11.43 % (19860)Termination reason: Refutation not found, incomplete strategy
% 71.56/11.43
% 71.56/11.43
% 71.56/11.43 % (19860)Memory used [KB]: 5500
% 71.56/11.43 % (19860)Time elapsed: 0.003 s
% 71.56/11.43 % (19860)Instructions burned: 6 (million)
% 71.56/11.43 % (19860)------------------------------
% 71.56/11.43 % (19860)------------------------------
% 71.56/11.44 % (19861)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on DTF2THF_19310 for (2898ds/1003Mi)
% 72.20/11.62 % (19836)Instruction limit reached!
% 72.20/11.62 % (19836)------------------------------
% 72.20/11.62 % (19836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.20/11.62 % (19836)Termination reason: Unknown
% 72.20/11.62 % (19836)Termination phase: Saturation
% 72.20/11.62
% 72.20/11.62 % (19836)Memory used [KB]: 14839
% 72.20/11.62 % (19836)Time elapsed: 2.488 s
% 72.20/11.62 % (19836)Instructions burned: 8383 (million)
% 72.20/11.62 % (19836)------------------------------
% 72.20/11.62 % (19836)------------------------------
% 72.20/11.63 % (19862)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on DTF2THF_19310 for (2897ds/13018Mi)
% 72.44/11.73 % (19861)Instruction limit reached!
% 72.44/11.73 % (19861)------------------------------
% 72.44/11.73 % (19861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.44/11.73 % (19861)Termination reason: Unknown
% 72.44/11.73 % (19861)Termination phase: Saturation
% 72.44/11.73
% 72.44/11.73 % (19861)Memory used [KB]: 7419
% 72.44/11.73 % (19861)Time elapsed: 0.293 s
% 72.44/11.73 % (19861)Instructions burned: 1004 (million)
% 72.44/11.73 % (19861)------------------------------
% 72.44/11.73 % (19861)------------------------------
% 72.44/11.74 % (19863)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on DTF2THF_19310 for (2895ds/1267Mi)
% 72.44/11.74 % (19863)Refutation not found, incomplete strategy
% 72.44/11.74 % (19863)------------------------------
% 72.44/11.74 % (19863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.44/11.74 % (19863)Termination reason: Refutation not found, incomplete strategy
% 72.44/11.74
% 72.44/11.74
% 72.44/11.74 % (19863)Memory used [KB]: 5500
% 72.44/11.74 % (19863)Time elapsed: 0.003 s
% 72.44/11.74 % (19863)Instructions burned: 4 (million)
% 72.44/11.74 % (19863)------------------------------
% 72.44/11.74 % (19863)------------------------------
% 72.44/11.75 % (19864)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=2570:si=on:rtra=on_0 on DTF2THF_19310 for (2895ds/2570Mi)
% 72.96/11.86 % (19840)Instruction limit reached!
% 72.96/11.86 % (19840)------------------------------
% 72.96/11.86 % (19840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.96/11.86 % (19840)Termination reason: Unknown
% 72.96/11.86 % (19840)Termination phase: Saturation
% 72.96/11.86
% 72.96/11.86 % (19840)Memory used [KB]: 7164
% 72.96/11.86 % (19840)Time elapsed: 2.490 s
% 72.96/11.86 % (19840)Instructions burned: 8425 (million)
% 72.96/11.86 % (19840)------------------------------
% 72.96/11.86 % (19840)------------------------------
% 72.96/11.87 % (19865)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on DTF2THF_19310 for (2894ds/13163Mi)
% 76.79/12.12 % (19849)Instruction limit reached!
% 76.79/12.12 % (19849)------------------------------
% 76.79/12.12 % (19849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.79/12.12 % (19849)Termination reason: Unknown
% 76.79/12.12 % (19849)Termination phase: Saturation
% 76.79/12.12
% 76.79/12.12 % (19849)Memory used [KB]: 12792
% 76.79/12.12 % (19849)Time elapsed: 1.253 s
% 76.79/12.12 % (19849)Instructions burned: 4165 (million)
% 76.79/12.12 % (19849)------------------------------
% 76.79/12.12 % (19849)------------------------------
% 77.52/12.13 % (19866)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on DTF2THF_19310 for (2892ds/5087Mi)
% 79.75/12.51 % (19864)Instruction limit reached!
% 79.75/12.51 % (19864)------------------------------
% 79.75/12.51 % (19864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.75/12.51 % (19864)Termination reason: Unknown
% 79.75/12.51 % (19864)Termination phase: Saturation
% 79.75/12.51
% 79.75/12.51 % (19864)Memory used [KB]: 7164
% 79.75/12.51 % (19864)Time elapsed: 0.754 s
% 79.75/12.51 % (19864)Instructions burned: 2571 (million)
% 79.75/12.51 % (19864)------------------------------
% 79.75/12.51 % (19864)------------------------------
% 79.75/12.52 % (19867)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on DTF2THF_19310 for (2888ds/10380Mi)
% 79.75/12.53 % (19867)Refutation not found, incomplete strategy
% 79.75/12.53 % (19867)------------------------------
% 79.75/12.53 % (19867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.75/12.53 % (19867)Termination reason: Refutation not found, incomplete strategy
% 79.75/12.53
% 79.75/12.53
% 79.75/12.53 % (19867)Memory used [KB]: 5756
% 79.75/12.53 % (19867)Time elapsed: 0.014 s
% 79.75/12.53 % (19867)Instructions burned: 40 (million)
% 79.75/12.53 % (19867)------------------------------
% 79.75/12.53 % (19867)------------------------------
% 79.75/12.54 % (19868)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4218:si=on:rtra=on_0 on DTF2THF_19310 for (2887ds/4218Mi)
% 86.43/13.42 % (19866)Refutation not found, non-redundant clauses discarded% (19866)------------------------------
% 86.43/13.42 % (19866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.43/13.42 % (19866)Termination reason: Refutation not found, non-redundant clauses discarded
% 86.43/13.42
% 86.43/13.42 % (19866)Memory used [KB]: 8315
% 86.43/13.42 % (19866)Time elapsed: 1.292 s
% 86.43/13.42 % (19866)Instructions burned: 4770 (million)
% 86.43/13.42 % (19866)------------------------------
% 86.43/13.42 % (19866)------------------------------
% 86.43/13.43 % (19869)ott+1666_1:1_hfaw=0:hfsq=on:hfsql=off:hfsqr=1,16:hud=15:slsq=on:slsqr=1,2:tnu=2:i=3971:si=on:rtra=on_0 on DTF2THF_19310 for (2878ds/3971Mi)
% 86.43/13.45 % (19858)Instruction limit reached!
% 86.43/13.45 % (19858)------------------------------
% 86.43/13.45 % (19858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.43/13.45 % (19858)Termination reason: Unknown
% 86.43/13.45 % (19858)Termination phase: Saturation
% 86.43/13.45
% 86.43/13.45 % (19858)Memory used [KB]: 12281
% 86.43/13.45 % (19858)Time elapsed: 2.278 s
% 86.43/13.45 % (19858)Instructions burned: 7803 (million)
% 86.43/13.45 % (19858)------------------------------
% 86.43/13.45 % (19858)------------------------------
% 86.43/13.46 % (19870)dis+1010_1:1_anc=all_dependent:au=on:bs=on:sd=5:sp=occurrence:ss=axioms:st=2.0:i=14014:si=on:rtra=on_0 on DTF2THF_19310 for (2878ds/14014Mi)
% 86.43/13.48 % (19870)Refutation not found, incomplete strategy
% 86.43/13.48 % (19870)------------------------------
% 86.43/13.48 % (19870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.43/13.48 % (19870)Termination reason: Refutation not found, incomplete strategy
% 86.43/13.48
% 86.43/13.48
% 86.43/13.48 % (19870)Memory used [KB]: 5756
% 86.43/13.48 % (19870)Time elapsed: 0.019 s
% 86.43/13.48 % (19870)Instructions burned: 58 (million)
% 86.43/13.48 % (19870)------------------------------
% 86.43/13.48 % (19870)------------------------------
% 86.43/13.49 % (19871)lrs+10_1:1_ins=1:sgt=8:ss=axioms:i=8517:si=on:rtra=on_0 on DTF2THF_19310 for (2878ds/8517Mi)
% 88.08/13.74 % (19868)Instruction limit reached!
% 88.08/13.74 % (19868)------------------------------
% 88.08/13.74 % (19868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 88.08/13.74 % (19868)Termination reason: Unknown
% 88.08/13.74 % (19868)Termination phase: Saturation
% 88.08/13.74
% 88.08/13.74 % (19868)Memory used [KB]: 10874
% 88.08/13.74 % (19868)Time elapsed: 1.202 s
% 88.08/13.74 % (19868)Instructions burned: 4221 (million)
% 88.08/13.74 % (19868)------------------------------
% 88.08/13.74 % (19868)------------------------------
% 88.08/13.75 % (19872)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=10148:si=on:rtra=on_0 on DTF2THF_19310 for (2875ds/10148Mi)
% 93.48/14.46 % (19869)Instruction limit reached!
% 93.48/14.46 % (19869)------------------------------
% 93.48/14.46 % (19869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.48/14.46 % (19869)Termination reason: Unknown
% 93.48/14.46 % (19869)Termination phase: Saturation
% 93.48/14.46
% 93.48/14.46 % (19869)Memory used [KB]: 12153
% 93.48/14.46 % (19869)Time elapsed: 1.032 s
% 93.48/14.46 % (19869)Instructions burned: 3971 (million)
% 93.48/14.46 % (19869)------------------------------
% 93.48/14.46 % (19869)------------------------------
% 93.48/14.47 % (20007)lrs+10_1:2_ntd=on:nwc=10.0:plsq=on:plsqc=1:plsqr=2,1:ss=axioms:i=9078:si=on:rtra=on_0 on DTF2THF_19310 for (2868ds/9078Mi)
% 95.35/14.73 % (19862)Instruction limit reached!
% 95.35/14.73 % (19862)------------------------------
% 95.35/14.73 % (19862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 95.35/14.73 % (19862)Termination reason: Unknown
% 95.35/14.73 % (19862)Termination phase: Saturation
% 95.35/14.73
% 95.35/14.73 % (19862)Memory used [KB]: 26481
% 95.35/14.73 % (19862)Time elapsed: 3.102 s
% 95.35/14.73 % (19862)Instructions burned: 13023 (million)
% 95.35/14.73 % (19862)------------------------------
% 95.35/14.73 % (19862)------------------------------
% 95.35/14.74 % (20087)lrs+2_1:1_bet=on:bsr=on:cnfonf=lazy_pi_sigma_gen:er=filter:kws=inv_frequency:ntd=on:sd=3:ss=axioms:i=16164:si=on:rtra=on_0 on DTF2THF_19310 for (2865ds/16164Mi)
% 99.77/15.30 % (19859)Instruction limit reached!
% 99.77/15.30 % (19859)------------------------------
% 99.77/15.30 % (19859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.77/15.30 % (19859)Termination reason: Unknown
% 99.77/15.30 % (19859)Termination phase: Saturation
% 99.77/15.30
% 99.77/15.30 % (19859)Memory used [KB]: 16630
% 99.77/15.30 % (19859)Time elapsed: 4.128 s
% 99.77/15.30 % (19859)Instructions burned: 15194 (million)
% 99.77/15.30 % (19859)------------------------------
% 99.77/15.30 % (19859)------------------------------
% 99.77/15.32 % (20234)lrs+32_1:1_au=on:bet=on:cbe=off:cs=on:ins=3:i=6102:si=on:rtra=on_0 on DTF2THF_19310 for (2860ds/6102Mi)
% 102.18/15.78 % (19853)Instruction limit reached!
% 102.18/15.78 % (19853)------------------------------
% 102.18/15.78 % (19853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 102.18/15.78 % (19853)Termination reason: Unknown
% 102.18/15.78 % (19853)Termination phase: Saturation
% 102.18/15.78
% 102.18/15.78 % (19853)Memory used [KB]: 10234
% 102.18/15.78 % (19853)Time elapsed: 4.776 s
% 102.18/15.78 % (19853)Instructions burned: 15560 (million)
% 102.18/15.78 % (19853)------------------------------
% 102.18/15.78 % (19853)------------------------------
% 102.18/15.79 % (20235)lrs+1010_1:1_au=on:bd=off:e2e=on:fde=unused:nm=4:s2a=on:sos=all:sp=const_frequency:i=10308:si=on:rtra=on_0 on DTF2THF_19310 for (2855ds/10308Mi)
% 102.18/15.80 % (20235)Refutation not found, incomplete strategy
% 102.18/15.80 % (20235)------------------------------
% 102.18/15.80 % (20235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 102.18/15.80 % (20235)Termination reason: Refutation not found, incomplete strategy
% 102.18/15.80
% 102.18/15.80
% 102.18/15.80 % (20235)Memory used [KB]: 5500
% 102.18/15.80 % (20235)Time elapsed: 0.002 s
% 102.18/15.80 % (20235)Instructions burned: 3 (million)
% 102.18/15.80 % (20235)------------------------------
% 102.18/15.80 % (20235)------------------------------
% 102.80/15.82 % (20236)dis+1010_1:1_au=on:avsq=on:bd=off:cbe=off:cnfonf=off:cs=on:hud=5:nm=0:plsq=on:plsqc=1:plsqr=7,1:ss=axioms:tgt=full:i=4041:si=on:rtra=on_0 on DTF2THF_19310 for (2855ds/4041Mi)
% 102.80/15.83 % (19865)Instruction limit reached!
% 102.80/15.83 % (19865)------------------------------
% 102.80/15.83 % (19865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 102.80/15.83 % (19865)Termination reason: Unknown
% 102.80/15.83 % (19865)Termination phase: Saturation
% 102.80/15.83
% 102.80/15.83 % (19865)Memory used [KB]: 15991
% 102.80/15.83 % (19865)Time elapsed: 3.966 s
% 102.80/15.83 % (19865)Instructions burned: 13164 (million)
% 102.80/15.83 % (19865)------------------------------
% 102.80/15.83 % (19865)------------------------------
% 102.80/15.84 % (20236)Refutation not found, incomplete strategy
% 102.80/15.84 % (20236)------------------------------
% 102.80/15.84 % (20236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 102.80/15.84 % (20236)Termination reason: Refutation not found, incomplete strategy
% 102.80/15.84
% 102.80/15.84
% 102.80/15.84 % (20236)Memory used [KB]: 5628
% 102.80/15.84 % (20236)Time elapsed: 0.017 s
% 102.80/15.84 % (20236)Instructions burned: 28 (million)
% 102.80/15.84 % (20236)------------------------------
% 102.80/15.84 % (20236)------------------------------
% 102.80/15.84 % (20237)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=6901:si=on:rtra=on_0 on DTF2THF_19310 for (2854ds/6901Mi)
% 102.80/15.85 % (20237)Refutation not found, incomplete strategy
% 102.80/15.85 % (20237)------------------------------
% 102.80/15.85 % (20237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 102.80/15.85 % (20237)Termination reason: Refutation not found, incomplete strategy
% 102.80/15.85
% 102.80/15.85
% 102.80/15.85 % (20237)Memory used [KB]: 5628
% 102.80/15.85 % (20237)Time elapsed: 0.012 s
% 102.80/15.85 % (20237)Instructions burned: 27 (million)
% 102.80/15.85 % (20237)------------------------------
% 102.80/15.85 % (20237)------------------------------
% 102.80/15.85 % (20238)lrs-1_1:1_au=on:cbe=off:ntd=on:i=5576:si=on:rtra=on_0 on DTF2THF_19310 for (2854ds/5576Mi)
% 102.80/15.87 % (20239)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=2014:si=on:rtra=on_0 on DTF2THF_19310 for (2854ds/2014Mi)
% 106.74/16.38 % (19871)Instruction limit reached!
% 106.74/16.38 % (19871)------------------------------
% 106.74/16.38 % (19871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 106.74/16.38 % (19871)Termination reason: Unknown
% 106.74/16.38 % (19871)Termination phase: Saturation
% 106.74/16.38
% 106.74/16.38 % (19871)Memory used [KB]: 12409
% 106.74/16.38 % (19871)Time elapsed: 2.898 s
% 106.74/16.38 % (19871)Instructions burned: 8518 (million)
% 106.74/16.38 % (19871)------------------------------
% 106.74/16.38 % (19871)------------------------------
% 107.43/16.41 % (20240)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=5115:si=on:rtra=on_0 on DTF2THF_19310 for (2849ds/5115Mi)
% 108.54/16.69 % (20239)Instruction limit reached!
% 108.54/16.69 % (20239)------------------------------
% 108.54/16.69 % (20239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 108.54/16.69 % (20239)Termination reason: Unknown
% 108.54/16.69 % (20239)Termination phase: Saturation
% 108.54/16.69
% 108.54/16.69 % (20239)Memory used [KB]: 10746
% 108.54/16.69 % (20239)Time elapsed: 0.823 s
% 108.54/16.69 % (20239)Instructions burned: 2014 (million)
% 108.54/16.69 % (20239)------------------------------
% 108.54/16.69 % (20239)------------------------------
% 109.15/16.71 % (20241)lrs+2_1:1_au=on:cnfonf=lazy_pi_sigma_gen:sos=on:ss=axioms:i=13001:si=on:rtra=on_0 on DTF2THF_19310 for (2846ds/13001Mi)
% 109.15/16.71 % (20241)Refutation not found, incomplete strategy
% 109.15/16.71 % (20241)------------------------------
% 109.15/16.71 % (20241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 109.15/16.71 % (20241)Termination reason: Refutation not found, incomplete strategy
% 109.15/16.71
% 109.15/16.71
% 109.15/16.71 % (20241)Memory used [KB]: 5500
% 109.15/16.71 % (20241)Time elapsed: 0.005 s
% 109.15/16.71 % (20241)Instructions burned: 7 (million)
% 109.15/16.71 % (20241)------------------------------
% 109.15/16.71 % (20241)------------------------------
% 109.15/16.73 % (20242)dis+10_1:2_aac=none:acc=on:atotf=0.1:au=on:fde=none:ins=1:ixr=off:nwc=5.0:i=11105:si=on:rtra=on_0 on DTF2THF_19310 for (2846ds/11105Mi)
% 114.25/17.48 % (19872)Instruction limit reached!
% 114.25/17.48 % (19872)------------------------------
% 114.25/17.48 % (19872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 114.25/17.48 % (19872)Termination reason: Unknown
% 114.25/17.48 % (19872)Termination phase: Saturation
% 114.25/17.48
% 114.25/17.48 % (19872)Memory used [KB]: 7675
% 114.25/17.48 % (19872)Time elapsed: 3.733 s
% 114.25/17.48 % (19872)Instructions burned: 10149 (million)
% 114.25/17.48 % (19872)------------------------------
% 114.25/17.48 % (19872)------------------------------
% 114.95/17.50 % (20243)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=13832:si=on:rtra=on_0 on DTF2THF_19310 for (2838ds/13832Mi)
% 114.95/17.60 % (20234)Instruction limit reached!
% 114.95/17.60 % (20234)------------------------------
% 114.95/17.60 % (20234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 114.95/17.60 % (20234)Termination reason: Unknown
% 114.95/17.60 % (20234)Termination phase: Saturation
% 114.95/17.60
% 114.95/17.60 % (20234)Memory used [KB]: 9850
% 114.95/17.60 % (20234)Time elapsed: 2.261 s
% 114.95/17.60 % (20234)Instructions burned: 6104 (million)
% 114.95/17.60 % (20234)------------------------------
% 114.95/17.60 % (20234)------------------------------
% 113.37/17.61 % (20244)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=32887:si=on:rtra=on_0 on DTF2THF_19310 for (2837ds/32887Mi)
% 117.09/18.01 % (20007)Instruction limit reached!
% 117.09/18.01 % (20007)------------------------------
% 117.09/18.01 % (20007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 117.09/18.01 % (20007)Termination reason: Unknown
% 117.09/18.01 % (20007)Termination phase: Saturation
% 117.09/18.01
% 117.09/18.01 % (20007)Memory used [KB]: 12792
% 117.09/18.01 % (20007)Time elapsed: 3.543 s
% 117.09/18.01 % (20007)Instructions burned: 9079 (million)
% 117.09/18.01 % (20007)------------------------------
% 117.09/18.01 % (20007)------------------------------
% 117.09/18.02 % (20238)Instruction limit reached!
% 117.09/18.02 % (20238)------------------------------
% 117.09/18.02 % (20238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 117.09/18.02 % (20238)Termination reason: Unknown
% 117.09/18.02 % (20238)Termination phase: Saturation
% 117.09/18.02
% 117.09/18.02 % (20238)Memory used [KB]: 8059
% 117.09/18.02 % (20238)Time elapsed: 2.164 s
% 117.09/18.02 % (20238)Instructions burned: 5578 (million)
% 117.09/18.02 % (20238)------------------------------
% 117.09/18.02 % (20238)------------------------------
% 118.64/18.03 % (20246)ott+1002_1:1_au=on:cnfonf=lazy_simp:nwc=5.0:sgt=5:ss=axioms:st=1.5:i=24965:si=on:rtra=on_0 on DTF2THF_19310 for (2833ds/24965Mi)
% 118.64/18.04 % (20245)dis+1010_2:1_avsq=on:fde=unused:prag=on:i=3362:si=on:rtra=on_0 on DTF2THF_19310 for (2833ds/3362Mi)
% 118.64/18.05 % (20246)Refutation not found, incomplete strategy
% 118.64/18.05 % (20246)------------------------------
% 118.64/18.05 % (20246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 118.64/18.05 % (20246)Termination reason: Refutation not found, incomplete strategy
% 118.64/18.05
% 118.64/18.05
% 118.64/18.05 % (20246)Memory used [KB]: 5628
% 118.64/18.05 % (20246)Time elapsed: 0.018 s
% 118.64/18.05 % (20246)Instructions burned: 32 (million)
% 118.64/18.05 % (20246)------------------------------
% 118.64/18.05 % (20246)------------------------------
% 118.64/18.07 % (20247)lrs+1010_2:1_amm=off:avsq=on:c=on:cbe=off:e2e=on:fsr=off:ins=3:s2a=on:s2at=-1.0:i=15705:si=on:rtra=on_0 on DTF2THF_19310 for (2832ds/15705Mi)
% 121.54/18.68 % (20240)Instruction limit reached!
% 121.54/18.68 % (20240)------------------------------
% 121.54/18.68 % (20240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 121.54/18.68 % (20240)Termination reason: Unknown
% 121.54/18.68 % (20240)Termination phase: Saturation
% 121.54/18.68
% 121.54/18.68 % (20240)Memory used [KB]: 17654
% 121.54/18.68 % (20240)Time elapsed: 2.289 s
% 121.54/18.68 % (20240)Instructions burned: 5118 (million)
% 121.54/18.68 % (20240)------------------------------
% 121.54/18.68 % (20240)------------------------------
% 121.54/18.69 % (20248)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1536:si=on:rtra=on_0 on DTF2THF_19310 for (2826ds/1536Mi)
% 121.54/18.69 % (20248)Refutation not found, incomplete strategy
% 121.54/18.69 % (20248)------------------------------
% 121.54/18.69 % (20248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 121.54/18.69 % (20248)Termination reason: Refutation not found, incomplete strategy
% 121.54/18.69
% 121.54/18.69
% 121.54/18.69 % (20248)Memory used [KB]: 5500
% 121.54/18.69 % (20248)Time elapsed: 0.004 s
% 121.54/18.69 % (20248)Instructions burned: 5 (million)
% 121.54/18.69 % (20248)------------------------------
% 121.54/18.69 % (20248)------------------------------
% 122.04/18.70 % (20249)dis+10_1:1_fde=none:kws=precedence:piset=not:prag=on:slsq=on:slsqc=1:sp=unary_frequency:i=23684:si=on:rtra=on_0 on DTF2THF_19310 for (2826ds/23684Mi)
% 128.68/19.53 % (20245)Instruction limit reached!
% 128.68/19.53 % (20245)------------------------------
% 128.68/19.53 % (20245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 128.68/19.53 % (20245)Termination reason: Unknown
% 128.68/19.53 % (20245)Termination phase: Saturation
% 128.68/19.53
% 128.68/19.53 % (20245)Memory used [KB]: 9722
% 128.68/19.53 % (20245)Time elapsed: 1.472 s
% 128.68/19.53 % (20245)Instructions burned: 3364 (million)
% 128.68/19.53 % (20245)------------------------------
% 128.68/19.53 % (20245)------------------------------
% 128.68/19.55 % (20250)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=4925:si=on:rtra=on_0 on DTF2THF_19310 for (2817ds/4925Mi)
% 142.55/21.50 % (20250)Instruction limit reached!
% 142.55/21.50 % (20250)------------------------------
% 142.55/21.50 % (20250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.55/21.50 % (20250)Termination reason: Unknown
% 142.55/21.50 % (20250)Termination phase: Saturation
% 142.55/21.50
% 142.55/21.50 % (20250)Memory used [KB]: 7675
% 142.55/21.50 % (20250)Time elapsed: 1.955 s
% 142.55/21.50 % (20250)Instructions burned: 4925 (million)
% 142.55/21.50 % (20250)------------------------------
% 142.55/21.50 % (20250)------------------------------
% 142.55/21.52 % (20087)Instruction limit reached!
% 142.55/21.52 % (20087)------------------------------
% 142.55/21.52 % (20087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.55/21.52 % (20087)Termination reason: Unknown
% 142.55/21.52 % (20087)Termination phase: Saturation
% 142.55/21.52
% 142.55/21.52 % (20087)Memory used [KB]: 15095
% 142.55/21.52 % (20087)Time elapsed: 6.766 s
% 142.55/21.52 % (20087)Instructions burned: 16166 (million)
% 142.55/21.52 % (20087)------------------------------
% 142.55/21.52 % (20087)------------------------------
% 142.55/21.52 % (20251)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=14666:si=on:rtra=on_0 on DTF2THF_19310 for (2798ds/14666Mi)
% 142.55/21.54 % (20252)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=3322:si=on:rtra=on_0 on DTF2THF_19310 for (2798ds/3322Mi)
% 142.55/21.55 % (20252)Refutation not found, incomplete strategy
% 142.55/21.55 % (20252)------------------------------
% 142.55/21.55 % (20252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.55/21.55 % (20252)Termination reason: Refutation not found, incomplete strategy
% 142.55/21.55
% 142.55/21.55
% 142.55/21.55 % (20252)Memory used [KB]: 5628
% 142.55/21.55 % (20252)Time elapsed: 0.018 s
% 142.55/21.55 % (20252)Instructions burned: 31 (million)
% 142.55/21.55 % (20252)------------------------------
% 142.55/21.55 % (20252)------------------------------
% 142.55/21.57 % (20253)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1810:si=on:rtra=on_0 on DTF2THF_19310 for (2797ds/1810Mi)
% 144.15/21.81 % (20242)Instruction limit reached!
% 144.15/21.81 % (20242)------------------------------
% 144.15/21.81 % (20242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 144.15/21.81 % (20242)Termination reason: Unknown
% 144.15/21.81 % (20242)Termination phase: Saturation
% 144.15/21.81
% 144.15/21.81 % (20242)Memory used [KB]: 16119
% 144.15/21.81 % (20242)Time elapsed: 5.091 s
% 144.15/21.81 % (20242)Instructions burned: 11106 (million)
% 144.15/21.81 % (20242)------------------------------
% 144.15/21.81 % (20242)------------------------------
% 144.15/21.83 % (20254)dis+1666_1:1_anc=none:bs=on:cbe=off:cha=on:cnfonf=lazy_gen:fe=off:fsr=off:hud=5:kws=precedence:piset=pi_sigma:prag=on:sos=on:sp=frequency:i=2465:si=on:rtra=on_0 on DTF2THF_19310 for (2795ds/2465Mi)
% 148.16/22.34 % (20253)Instruction limit reached!
% 148.16/22.34 % (20253)------------------------------
% 148.16/22.34 % (20253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 148.16/22.34 % (20253)Termination reason: Unknown
% 148.16/22.34 % (20253)Termination phase: Saturation
% 148.16/22.34
% 148.16/22.34 % (20253)Memory used [KB]: 8059
% 148.16/22.34 % (20253)Time elapsed: 0.773 s
% 148.16/22.34 % (20253)Instructions burned: 1811 (million)
% 148.16/22.34 % (20253)------------------------------
% 148.16/22.34 % (20253)------------------------------
% 148.16/22.36 % (20255)dis+1002_1:1_cbe=off:cnfonf=lazy_pi_sigma_gen:fsr=off:ins=1:kws=inv_precedence:nwc=10.0:ss=axioms:st=2.0:i=41234:si=on:rtra=on_0 on DTF2THF_19310 for (2789ds/41234Mi)
% 150.42/22.73 % (20254)Instruction limit reached!
% 150.42/22.73 % (20254)------------------------------
% 150.42/22.73 % (20254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 150.42/22.73 % (20254)Termination reason: Unknown
% 150.42/22.73 % (20254)Termination phase: Saturation
% 150.42/22.73
% 150.42/22.73 % (20254)Memory used [KB]: 6524
% 150.42/22.73 % (20254)Time elapsed: 0.863 s
% 150.42/22.73 % (20254)Instructions burned: 2468 (million)
% 150.42/22.73 % (20254)------------------------------
% 150.42/22.73 % (20254)------------------------------
% 150.42/22.75 % (20256)dis+1002_1:1_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:nm=0:i=14027:si=on:rtra=on_0 on DTF2THF_19310 for (2785ds/14027Mi)
% 150.42/22.77 % (20256)Refutation not found, incomplete strategy
% 150.42/22.77 % (20256)------------------------------
% 150.42/22.77 % (20256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 150.42/22.77 % (20256)Termination reason: Refutation not found, incomplete strategy
% 150.42/22.77
% 150.42/22.77
% 150.42/22.77 % (20256)Memory used [KB]: 5628
% 150.42/22.77 % (20256)Time elapsed: 0.019 s
% 150.42/22.77 % (20256)Instructions burned: 33 (million)
% 150.42/22.77 % (20256)------------------------------
% 150.42/22.77 % (20256)------------------------------
% 150.42/22.78 % (20257)dis+1010_1:1_au=on:cnfonf=conj_eager:nwc=10.0:sac=on:i=27021:si=on:rtra=on_0 on DTF2THF_19310 for (2785ds/27021Mi)
% 150.99/22.80 % (20257)Refutation not found, incomplete strategy
% 150.99/22.80 % (20257)------------------------------
% 150.99/22.80 % (20257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 150.99/22.80 % (20257)Termination reason: Refutation not found, incomplete strategy
% 150.99/22.80
% 150.99/22.80
% 150.99/22.80 % (20257)Memory used [KB]: 5628
% 150.99/22.80 % (20257)Time elapsed: 0.017 s
% 150.99/22.80 % (20257)Instructions burned: 30 (million)
% 150.99/22.80 % (20257)------------------------------
% 150.99/22.80 % (20257)------------------------------
% 150.99/22.82 % (20258)dis-1666_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:i=5643:si=on:rtra=on_0 on DTF2THF_19310 for (2785ds/5643Mi)
% 154.07/23.29 % (20243)Instruction limit reached!
% 154.07/23.29 % (20243)------------------------------
% 154.07/23.29 % (20243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 154.07/23.29 % (20243)Termination reason: Unknown
% 154.07/23.29 % (20243)Termination phase: Saturation
% 154.07/23.29
% 154.07/23.29 % (20243)Memory used [KB]: 78676
% 154.07/23.29 % (20243)Time elapsed: 5.792 s
% 154.07/23.29 % (20243)Instructions burned: 13833 (million)
% 154.07/23.29 % (20243)------------------------------
% 154.07/23.29 % (20243)------------------------------
% 149.04/23.32 % (20259)dis+1002_1:1_apa=on:au=on:cnfonf=off:e2e=on:flr=on:nm=4:s2a=on:i=8612:si=on:rtra=on_0 on DTF2THF_19310 for (2780ds/8612Mi)
% 162.42/24.46 % (20247)Refutation not found, non-redundant clauses discarded% (20247)------------------------------
% 162.42/24.46 % (20247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 162.42/24.46 % (20247)Termination reason: Refutation not found, non-redundant clauses discarded
% 162.42/24.46
% 162.42/24.46 % (20247)Memory used [KB]: 20468
% 162.42/24.46 % (20247)Time elapsed: 6.398 s
% 162.42/24.46 % (20247)Instructions burned: 15614 (million)
% 162.42/24.46 % (20247)------------------------------
% 162.42/24.46 % (20247)------------------------------
% 162.42/24.48 % (20260)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=3743:si=on:rtra=on_0 on DTF2THF_19310 for (2768ds/3743Mi)
% 167.53/25.13 % (20258)Instruction limit reached!
% 167.53/25.13 % (20258)------------------------------
% 167.53/25.13 % (20258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 167.53/25.13 % (20258)Termination reason: Unknown
% 167.53/25.13 % (20258)Termination phase: Saturation
% 167.53/25.13
% 167.53/25.13 % (20258)Memory used [KB]: 8059
% 167.53/25.13 % (20258)Time elapsed: 2.315 s
% 167.53/25.13 % (20258)Instructions burned: 5645 (million)
% 167.53/25.13 % (20258)------------------------------
% 167.53/25.13 % (20258)------------------------------
% 167.53/25.14 % (20261)dis+10_1:2_amm=off:bd=preordered:cnfonf=off:e2e=on:fe=off:fsr=off:hud=5:nm=3:s2a=on:sos=on:i=2571:si=on:rtra=on_0 on DTF2THF_19310 for (2762ds/2571Mi)
% 167.53/25.14 % (20261)Refutation not found, incomplete strategy
% 167.53/25.14 % (20261)------------------------------
% 167.53/25.14 % (20261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 167.53/25.14 % (20261)Termination reason: Refutation not found, incomplete strategy
% 167.53/25.14
% 167.53/25.14
% 167.53/25.14 % (20261)Memory used [KB]: 5500
% 167.53/25.14 % (20261)Time elapsed: 0.003 s
% 167.53/25.14 % (20261)Instructions burned: 5 (million)
% 167.53/25.14 % (20261)------------------------------
% 167.53/25.14 % (20261)------------------------------
% 167.53/25.16 % (20262)dis+1010_1:16_cbe=off:cnfonf=conj_eager:fe=off:hud=15:nwc=3.0:piset=pi_sigma:prag=on:sd=5:sp=weighted_frequency:ss=axioms:st=2.0:i=35728:si=on:rtra=on_0 on DTF2THF_19310 for (2761ds/35728Mi)
% 167.53/25.16 % (20262)Refutation not found, incomplete strategy
% 167.53/25.16 % (20262)------------------------------
% 167.53/25.16 % (20262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 167.53/25.16 % (20262)Termination reason: Refutation not found, incomplete strategy
% 167.53/25.16
% 167.53/25.16
% 167.53/25.16 % (20262)Memory used [KB]: 5500
% 167.53/25.16 % (20262)Time elapsed: 0.006 s
% 167.53/25.16 % (20262)Instructions burned: 7 (million)
% 167.53/25.16 % (20262)------------------------------
% 167.53/25.16 % (20262)------------------------------
% 167.53/25.18 % (20263)lrs+1004_1:24_i=5433:si=on:rtra=on_0 on DTF2THF_19310 for (2761ds/5433Mi)
% 173.80/26.12 % (20260)Instruction limit reached!
% 173.80/26.12 % (20260)------------------------------
% 173.80/26.12 % (20260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 173.80/26.12 % (20260)Termination reason: Unknown
% 173.80/26.12 % (20260)Termination phase: Saturation
% 173.80/26.12
% 173.80/26.12 % (20260)Memory used [KB]: 8571
% 173.80/26.12 % (20260)Time elapsed: 1.664 s
% 173.80/26.12 % (20260)Instructions burned: 3743 (million)
% 173.80/26.12 % (20260)------------------------------
% 173.80/26.12 % (20260)------------------------------
% 174.52/26.14 % (20264)ott+1002_1:1_anc=all_dependent:au=on:avsq=on:cnfonf=lazy_pi_sigma_gen:piset=not:i=27944:si=on:rtra=on_0 on DTF2THF_19310 for (2751ds/27944Mi)
% 174.52/26.16 % (20264)Refutation not found, incomplete strategy
% 174.52/26.16 % (20264)------------------------------
% 174.52/26.16 % (20264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 174.52/26.16 % (20264)Termination reason: Refutation not found, incomplete strategy
% 174.52/26.16
% 174.52/26.16
% 174.52/26.16 % (20264)Memory used [KB]: 5756
% 174.52/26.16 % (20264)Time elapsed: 0.025 s
% 174.52/26.16 % (20264)Instructions burned: 45 (million)
% 174.52/26.16 % (20264)------------------------------
% 174.52/26.16 % (20264)------------------------------
% 174.52/26.18 % (20265)ott+10_1:10_cnfonf=lazy_gen:fde=none:sp=const_frequency:i=15814:si=on:rtra=on_0 on DTF2THF_19310 for (2751ds/15814Mi)
% 176.78/26.57 % (20259)Instruction limit reached!
% 176.78/26.57 % (20259)------------------------------
% 176.78/26.57 % (20259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 176.78/26.57 % (20259)Termination reason: Unknown
% 176.78/26.57 % (20259)Termination phase: Saturation
% 176.78/26.57
% 176.78/26.57 % (20259)Memory used [KB]: 11385
% 176.78/26.57 % (20259)Time elapsed: 3.264 s
% 176.78/26.57 % (20259)Instructions burned: 8615 (million)
% 176.78/26.57 % (20259)------------------------------
% 176.78/26.57 % (20259)------------------------------
% 176.78/26.58 % (20266)lrs+1002_1:128_atotf=0.1:au=on:cbe=off:ntd=on:sp=const_frequency:i=9867:si=on:rtra=on_0 on DTF2THF_19310 for (2747ds/9867Mi)
% 176.78/26.59 % (20266)Refutation not found, incomplete strategy
% 176.78/26.59 % (20266)------------------------------
% 176.78/26.59 % (20266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 176.78/26.59 % (20266)Termination reason: Refutation not found, incomplete strategy
% 176.78/26.59
% 176.78/26.59
% 176.78/26.59 % (20266)Memory used [KB]: 5500
% 176.78/26.59 % (20266)Time elapsed: 0.005 s
% 176.78/26.59 % (20266)Instructions burned: 11 (million)
% 176.78/26.59 % (20266)------------------------------
% 176.78/26.59 % (20266)------------------------------
% 176.78/26.60 % (20267)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=5419:si=on:rtra=on_0 on DTF2THF_19310 for (2747ds/5419Mi)
% 182.03/27.22 % (20251)Instruction limit reached!
% 182.03/27.22 % (20251)------------------------------
% 182.03/27.22 % (20251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 182.03/27.22 % (20251)Termination reason: Unknown
% 182.03/27.22 % (20251)Termination phase: Saturation
% 182.03/27.22
% 182.03/27.22 % (20251)Memory used [KB]: 13048
% 182.03/27.22 % (20251)Time elapsed: 5.702 s
% 182.03/27.22 % (20251)Instructions burned: 14667 (million)
% 182.03/27.22 % (20251)------------------------------
% 182.03/27.22 % (20251)------------------------------
% 182.03/27.24 % (20268)dis+1010_1:28_au=on:cnfonf=off:e2e=on:fde=none:nicw=on:s2a=on:s2at=5.0:tgt=full:i=15386:si=on:rtra=on_0 on DTF2THF_19310 for (2740ds/15386Mi)
% 182.03/27.30 % (20268)Refutation not found, incomplete strategy
% 182.03/27.30 % (20268)------------------------------
% 182.03/27.30 % (20268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 182.03/27.30 % (20268)Termination reason: Refutation not found, incomplete strategy
% 182.03/27.30
% 182.03/27.30
% 182.03/27.30 % (20268)Memory used [KB]: 5756
% 182.03/27.30 % (20268)Time elapsed: 0.071 s
% 182.03/27.30 % (20268)Instructions burned: 80 (million)
% 182.03/27.30 % (20268)------------------------------
% 182.03/27.30 % (20268)------------------------------
% 182.62/27.31 % (20269)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_19310 for (2740ds/4714Mi)
% 182.62/27.32 % (20269)Refutation not found, incomplete strategy
% 182.62/27.32 % (20269)------------------------------
% 182.62/27.32 % (20269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 182.62/27.32 % (20269)Termination reason: Refutation not found, incomplete strategy
% 182.62/27.32
% 182.62/27.32
% 182.62/27.32 % (20269)Memory used [KB]: 5500
% 182.62/27.32 % (20269)Time elapsed: 0.006 s
% 182.62/27.32 % (20269)Instructions burned: 8 (million)
% 182.62/27.32 % (20269)------------------------------
% 182.62/27.32 % (20269)------------------------------
% 182.62/27.34 % (20270)lrs+10_1:1_bd=off:c=on:fsr=off:ntd=on:prag=on:sd=1:sos=all:ss=axioms:st=5.0:i=42749:si=on:rtra=on_0 on DTF2THF_19310 for (2739ds/42749Mi)
% 183.79/27.59 % (20263)Refutation not found, non-redundant clauses discarded% (20263)------------------------------
% 183.79/27.59 % (20263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 183.79/27.59 % (20263)Termination reason: Refutation not found, non-redundant clauses discarded
% 183.79/27.59
% 183.79/27.59 % (20263)Memory used [KB]: 11641
% 183.79/27.59 % (20263)Time elapsed: 2.419 s
% 183.79/27.59 % (20263)Instructions burned: 5421 (million)
% 183.79/27.59 % (20263)------------------------------
% 183.79/27.59 % (20263)------------------------------
% 184.37/27.61 % (20271)lrs+10_1:156_afp=4000:avsq=on:avsqr=4,1:fe=axiom:ss=axioms:tgt=ground:i=19001:si=on:rtra=on_0 on DTF2THF_19310 for (2737ds/19001Mi)
% 191.50/28.65 % (20267)First to succeed.
% 191.50/28.66 % (20267)Refutation found. Thanks to Tanya!
% 191.50/28.66 % SZS status Theorem for DTF2THF_19310
% 191.50/28.66 % SZS output start Proof for DTF2THF_19310
% 191.50/28.66 thf(type_def_5, type, qML_mu: $tType).
% 191.50/28.66 thf(type_def_6, type, qML_i: $tType).
% 191.50/28.66 thf(func_def_0, type, qML_mu: $tType).
% 191.50/28.66 thf(func_def_1, type, qML_i: $tType).
% 191.50/28.66 thf(func_def_2, type, scott_G: qML_mu > qML_i > $o).
% 191.50/28.66 thf(func_def_3, type, scott_NE_QML_mu: qML_mu > qML_i > $o).
% 191.50/28.66 thf(func_def_4, type, scott_P: (qML_mu > qML_i > $o) > qML_i > $o).
% 191.50/28.66 thf(func_def_5, type, scott_ess_QML_mu: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 191.50/28.66 thf(func_def_22, type, ph1: !>[X0: $tType]:(X0)).
% 191.50/28.66 thf(func_def_23, type, sK2: qML_i).
% 191.50/28.66 thf(func_def_24, type, sK3: qML_mu > qML_mu > qML_i > $o).
% 191.50/28.66 thf(func_def_25, type, sK4: qML_mu > qML_mu > qML_i).
% 191.50/28.66 thf(func_def_26, type, sK5: qML_mu > qML_mu > qML_mu).
% 191.50/28.66 thf(func_def_27, type, sK6: qML_mu > qML_i).
% 191.50/28.66 thf(func_def_28, type, sK7: qML_mu > qML_mu).
% 191.50/28.66 thf(func_def_29, type, sK8: qML_mu > qML_i).
% 191.50/28.66 thf(func_def_30, type, sK9: qML_mu > qML_mu).
% 191.50/28.66 thf(func_def_31, type, sK10: qML_i).
% 191.50/28.66 thf(func_def_32, type, sK11: qML_mu).
% 191.50/28.66 thf(func_def_33, type, sK12: qML_mu > qML_i).
% 191.50/28.66 thf(func_def_34, type, sK13: qML_mu > qML_mu).
% 191.50/28.66 thf(func_def_35, type, sK14: qML_mu > qML_i).
% 191.50/28.66 thf(func_def_36, type, sK15: qML_mu > qML_mu).
% 191.50/28.66 thf(func_def_37, type, sK16: qML_i).
% 191.50/28.66 thf(func_def_38, type, sK17: qML_mu).
% 191.50/28.66 thf(func_def_39, type, sK18: qML_i).
% 191.50/28.66 thf(func_def_40, type, sK19: qML_mu).
% 191.50/28.66 thf(func_def_41, type, sK20: qML_i).
% 191.50/28.66 thf(func_def_42, type, sK21: qML_mu).
% 191.50/28.66 thf(func_def_43, type, sK22: qML_mu > qML_i).
% 191.50/28.66 thf(func_def_44, type, sK23: qML_mu > qML_mu).
% 191.50/28.66 thf(func_def_45, type, sK24: qML_i).
% 191.50/28.66 thf(func_def_46, type, sK25: qML_mu).
% 191.50/28.66 thf(func_def_47, type, sK26: (qML_mu > qML_i > $o) > qML_i).
% 191.50/28.66 thf(func_def_48, type, sK27: (qML_mu > qML_i > $o) > qML_mu).
% 191.50/28.66 thf(func_def_49, type, sK28: qML_mu > qML_mu).
% 191.50/28.66 thf(func_def_50, type, sK29: qML_mu).
% 191.50/28.66 thf(func_def_51, type, sK30: qML_mu).
% 191.50/28.66 thf(func_def_52, type, sK31: (qML_mu > qML_i > $o) > qML_i).
% 191.50/28.66 thf(func_def_53, type, sK32: (qML_mu > qML_i > $o) > qML_mu).
% 191.50/28.66 thf(func_def_54, type, sK33: qML_mu).
% 191.50/28.66 thf(func_def_55, type, sK34: qML_mu).
% 191.50/28.66 thf(func_def_56, type, sK35: qML_mu > qML_i > $o).
% 191.50/28.66 thf(func_def_57, type, sK36: qML_i).
% 191.50/28.66 thf(func_def_58, type, sK37: qML_mu).
% 191.50/28.66 thf(func_def_59, type, sK38: qML_mu).
% 191.50/28.66 thf(func_def_60, type, sK39: qML_mu > qML_i).
% 191.50/28.66 thf(func_def_61, type, sK40: qML_mu > qML_mu).
% 191.50/28.66 thf(func_def_62, type, sK41: qML_mu > qML_i).
% 191.50/28.66 thf(func_def_63, type, sK42: qML_mu > qML_mu).
% 191.50/28.66 thf(func_def_64, type, sK43: qML_i).
% 191.50/28.66 thf(func_def_65, type, sK44: qML_mu).
% 191.50/28.66 thf(f22867,plain,(
% 191.50/28.66 $false),
% 191.50/28.66 inference(avatar_sat_refutation,[status(thm)],[f19613,f22866])).
% 191.50/28.66 thf(f22866,plain,(
% 191.50/28.66 ~spl0_2),
% 191.50/28.66 inference(avatar_contradiction_clause,[status(thm)],[f22865])).
% 191.50/28.66 thf(f22865,plain,(
% 191.50/28.66 $false | ~spl0_2),
% 191.50/28.66 inference(trivial_inequality_removal,[status(thm)],[f22864])).
% 191.50/28.66 thf(f22864,plain,(
% 191.50/28.66 ($false = $true) | ~spl0_2),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f22863])).
% 191.50/28.66 thf(f22863,plain,(
% 191.50/28.66 ((~ $true) = $true) | ~spl0_2),
% 191.50/28.66 inference(forward_demodulation,[status(thm)],[f21202,f19620])).
% 191.50/28.66 thf(f19620,plain,(
% 191.50/28.66 ((sK35 @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))) = $true) | ~spl0_2),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f19617])).
% 191.50/28.66 thf(f19617,plain,(
% 191.50/28.66 ($false = ((sK35 @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))) => (sK35 @ Y1 @ Y0)))))))) | ~spl0_2),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f19616])).
% 191.50/28.66 thf(f19616,plain,(
% 191.50/28.66 (((^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1)))))))) @ sK35) = $false) | ~spl0_2),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f19614])).
% 191.50/28.66 thf(f19614,plain,(
% 191.50/28.66 ($false = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1)))))))))) | ~spl0_2),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f19608])).
% 191.50/28.66 thf(f19608,plain,(
% 191.50/28.66 ((~ (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1)))))))))) = $true) | ~spl0_2),
% 191.50/28.66 inference(avatar_component_clause,[status(thm)],[f19607])).
% 191.50/28.66 thf(f19607,definition,(
% 191.50/28.66 spl0_2 <=> ((~ (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1)))))))))) = $true)),
% 191.50/28.66 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 191.50/28.66 thf(f21202,plain,(
% 191.50/28.66 ((~ (sK35 @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))))) = $true) | ~spl0_2),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f21201])).
% 191.50/28.66 thf(f21201,plain,(
% 191.50/28.66 (($true => (~ (sK35 @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))))) = $true) | ~spl0_2),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f20991])).
% 191.50/28.66 thf(f20991,plain,(
% 191.50/28.66 (($true => ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (sK35 @ Y0 @ Y1))))) @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))))) = $true) | ~spl0_2),
% 191.50/28.66 inference(superposition,[status(thm)],[f19205,f20201])).
% 191.50/28.66 thf(f20201,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : (((scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (sK35 @ Y0 @ Y1))))) @ X0) = $true)) ) | ~spl0_2),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f20200])).
% 191.50/28.66 thf(f20200,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : ((($true => (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (sK35 @ Y0 @ Y1))))) @ X0)) = $true)) ) | ~spl0_2),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f20075])).
% 191.50/28.66 thf(f20075,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : ((((~ $false) => (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (sK35 @ Y0 @ Y1))))) @ X0)) = $true)) ) | ~spl0_2),
% 191.50/28.66 inference(superposition,[status(thm)],[f143,f19769])).
% 191.50/28.66 thf(f19769,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : (($false = (scott_P @ sK35 @ X0))) ) | ~spl0_2),
% 191.50/28.66 inference(trivial_inequality_removal,[status(thm)],[f19768])).
% 191.50/28.66 thf(f19768,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : (($false = (scott_P @ sK35 @ X0)) | ($false = $true)) ) | ~spl0_2),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f19736])).
% 191.50/28.66 thf(f19736,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : (($false = (scott_P @ sK35 @ X0)) | ((~ $true) = $true)) ) | ~spl0_2),
% 191.50/28.66 inference(superposition,[status(thm)],[f19722,f238])).
% 191.50/28.66 thf(f238,plain,(
% 191.50/28.66 ( ! [X2 : qML_mu > qML_i > $o,X3 : qML_i,X1 : qML_i] : (((scott_P @ X2 @ X3) = $true) | ((scott_P @ X2 @ X1) = $false)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f55])).
% 191.50/28.66 thf(f55,plain,(
% 191.50/28.66 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((scott_P @ X2 @ X1) = $false) | ((!! @ qML_i @ (scott_P @ X2)) = $true)) )),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f54])).
% 191.50/28.66 thf(f54,plain,(
% 191.50/28.66 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = ((scott_P @ X2 @ X1) => (!! @ qML_i @ (scott_P @ X2))))) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f53])).
% 191.50/28.66 thf(f53,plain,(
% 191.50/28.66 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : ((((^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ X1) => (!! @ qML_i @ (scott_P @ Y0)))) @ X2) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f52])).
% 191.50/28.66 thf(f52,plain,(
% 191.50/28.66 ( ! [X1 : qML_i] : (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ X1) => (!! @ qML_i @ (scott_P @ Y0))))) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f51])).
% 191.50/28.66 thf(f51,plain,(
% 191.50/28.66 ( ! [X1 : qML_i] : ((((^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ Y0) => (!! @ qML_i @ (scott_P @ Y1)))))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f47])).
% 191.50/28.66 thf(f47,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ Y0) => (!! @ qML_i @ (scott_P @ Y1))))))) = $true)),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f42])).
% 191.50/28.66 thf(f42,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ Y0) => (!! @ qML_i @ (^[Y2 : qML_i]: (scott_P @ Y1 @ Y2)))))))) = $true)),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f30])).
% 191.50/28.66 thf(f30,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ Y0) => (!! @ qML_i @ (^[Y2 : qML_i]: (scott_P @ Y1 @ Y2)))))))) = $true)),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f29])).
% 191.50/28.66 thf(f29,plain,(
% 191.50/28.66 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : ((scott_P @ X0 @ X1) => ! [X2 : qML_i] : (scott_P @ X0 @ X2))),
% 191.50/28.66 inference(rectify,[status(thm)],[f3])).
% 191.50/28.66 thf(f3,axiom,(
% 191.50/28.66 ! [X5 : qML_mu > qML_i > $o,X4 : qML_i] : ((scott_P @ X5 @ X4) => ! [X3 : qML_i] : (scott_P @ X5 @ X3))),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_2_A4)).
% 191.50/28.66 thf(f19722,plain,(
% 191.50/28.66 ((~ (scott_P @ sK35 @ sK36)) = $true) | ~spl0_2),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f19636])).
% 191.50/28.66 thf(f19636,plain,(
% 191.50/28.66 (((scott_P @ sK35 @ sK36) => $false) = $true) | ~spl0_2),
% 191.50/28.66 inference(superposition,[status(thm)],[f19634,f19629])).
% 191.50/28.66 thf(f19629,plain,(
% 191.50/28.66 ($false = (sK35 @ sK37 @ sK36)) | ~spl0_2),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f19628])).
% 191.50/28.66 thf(f19628,plain,(
% 191.50/28.66 ($false = ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK36) => (Y0 @ sK37 @ sK36)))) => (sK35 @ sK37 @ sK36))) | ~spl0_2),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f19627])).
% 191.50/28.66 thf(f19627,plain,(
% 191.50/28.66 ($false = ((^[Y0 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ sK36) => (Y1 @ Y0 @ sK36)))) => (sK35 @ Y0 @ sK36))) @ sK37)) | ~spl0_2),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f19626])).
% 191.50/28.66 thf(f19626,plain,(
% 191.50/28.66 ($false = (!! @ qML_mu @ (^[Y0 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ sK36) => (Y1 @ Y0 @ sK36)))) => (sK35 @ Y0 @ sK36))))) | ~spl0_2),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f19622])).
% 191.50/28.66 thf(f19622,plain,(
% 191.50/28.66 ($false = ((^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))) => (sK35 @ Y1 @ Y0))))) @ sK36)) | ~spl0_2),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f19619])).
% 191.50/28.66 thf(f19619,plain,(
% 191.50/28.66 ($false = (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))) => (sK35 @ Y1 @ Y0))))))) | ~spl0_2),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f19617])).
% 191.50/28.66 thf(f19634,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((scott_P @ X1 @ sK36) => (X1 @ sK37 @ sK36)) = $true)) ) | ~spl0_2),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f19633])).
% 191.50/28.66 thf(f19633,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK36) => (Y0 @ sK37 @ sK36))) @ X1) = $true)) ) | ~spl0_2),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f19630])).
% 191.50/28.66 thf(f19630,plain,(
% 191.50/28.66 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK36) => (Y0 @ sK37 @ sK36)))) = $true) | ~spl0_2),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f19628])).
% 191.50/28.66 thf(f143,plain,(
% 191.50/28.66 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($true = ((~ (scott_P @ X1 @ X2)) => (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X1 @ Y0 @ Y1))))) @ X2)))) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f142])).
% 191.50/28.66 thf(f142,plain,(
% 191.50/28.66 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_i]: ((~ (scott_P @ X1 @ Y0)) => (scott_P @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (~ (X1 @ Y1 @ Y2))))) @ Y0))) @ X2) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f141])).
% 191.50/28.66 thf(f141,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : (((!! @ qML_i @ (^[Y0 : qML_i]: ((~ (scott_P @ X1 @ Y0)) => (scott_P @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (~ (X1 @ Y1 @ Y2))))) @ Y0)))) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f140])).
% 191.50/28.66 thf(f140,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y1 : qML_i]: ((~ (scott_P @ Y0 @ Y1)) => (scott_P @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (Y0 @ Y2 @ Y3))))) @ Y1))))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f39])).
% 191.50/28.66 thf(f39,plain,(
% 191.50/28.66 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y1 : qML_i]: ((~ (scott_P @ Y0 @ Y1)) => (scott_P @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (Y0 @ Y2 @ Y3))))) @ Y1)))))) = $true)),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f32])).
% 191.50/28.66 thf(f32,plain,(
% 191.50/28.66 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y1 : qML_i]: ((~ (scott_P @ Y0 @ Y1)) => (scott_P @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (Y0 @ Y2 @ Y3))))) @ Y1)))))) = $true)),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f31])).
% 191.50/28.66 thf(f31,plain,(
% 191.50/28.66 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (~(scott_P @ X1 @ X0) => (scott_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X1 @ X2 @ X3))) @ X0))),
% 191.50/28.66 inference(rectify,[status(thm)],[f4])).
% 191.50/28.66 thf(f4,axiom,(
% 191.50/28.66 ! [X4 : qML_i,X5 : qML_mu > qML_i > $o] : (~(scott_P @ X5 @ X4) => (scott_P @ (^[X2 : qML_mu, X6 : qML_i] : (~(X5 @ X2 @ X6))) @ X4))),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_3_A1b)).
% 191.50/28.66 thf(f19205,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((scott_P @ X1 @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))) => (X1 @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))))) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f19204])).
% 191.50/28.66 thf(f19204,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f19202])).
% 191.50/28.66 thf(f19202,plain,(
% 191.50/28.66 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))))))) = $true)),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f19127])).
% 191.50/28.66 thf(f19127,plain,(
% 191.50/28.66 ($false = (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))))))))),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f19126])).
% 191.50/28.66 thf(f19126,plain,(
% 191.50/28.66 ($false = (~ ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))))))),
% 191.50/28.66 inference(trivial_inequality_removal,[status(thm)],[f18932])).
% 191.50/28.66 thf(f18932,plain,(
% 191.50/28.66 ($false = $true) | ($false = (~ ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))))))),
% 191.50/28.66 inference(superposition,[status(thm)],[f18770,f78])).
% 191.50/28.66 thf(f78,plain,(
% 191.50/28.66 ( ! [X1 : qML_i] : (((scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f49])).
% 191.50/28.66 thf(f49,plain,(
% 191.50/28.66 ((!! @ qML_i @ (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))) = $true)),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f44])).
% 191.50/28.66 thf(f44,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (scott_P @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))) @ Y0))) = $true)),
% 191.50/28.66 inference(definition_unfolding,[status(thm)],[f35,f41])).
% 191.50/28.66 thf(f41,plain,(
% 191.50/28.66 (scott_G = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f18])).
% 191.50/28.66 thf(f18,plain,(
% 191.50/28.66 (scott_G = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f17])).
% 191.50/28.66 thf(f17,plain,(
% 191.50/28.66 (scott_G = (^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((scott_P @ X2 @ X1) => (X2 @ X0 @ X1)))))),
% 191.50/28.66 inference(rectify,[status(thm)],[f1])).
% 191.50/28.66 thf(f1,axiom,(
% 191.50/28.66 (scott_G = (^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((scott_P @ X2 @ X1) => (X2 @ X0 @ X1)))))),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_0_G__def)).
% 191.50/28.66 thf(f35,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (scott_P @ scott_G @ Y0))) = $true)),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f14])).
% 191.50/28.66 thf(f14,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (scott_P @ scott_G @ Y0))) = $true)),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f13])).
% 191.50/28.66 thf(f13,plain,(
% 191.50/28.66 ! [X0 : qML_i] : (scott_P @ scott_G @ X0)),
% 191.50/28.66 inference(rectify,[status(thm)],[f2])).
% 191.50/28.66 thf(f2,axiom,(
% 191.50/28.66 ! [X3 : qML_i] : (scott_P @ scott_G @ X3)),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_1_A3)).
% 191.50/28.66 thf(f18770,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (scott_P @ X1 @ X0)) | ($false = (~ (X1 @ (sK32 @ X1) @ (sK31 @ X1))))) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f18544])).
% 191.50/28.66 thf(f18544,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = ((^[Y0 : qML_mu]: (~ (X1 @ Y0 @ (sK31 @ X1)))) @ (sK32 @ X1))) | ($false = (scott_P @ X1 @ X0))) )),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f18418])).
% 191.50/28.66 thf(f18418,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (scott_P @ X1 @ X0)) | ((!! @ qML_mu @ (^[Y0 : qML_mu]: (~ (X1 @ Y0 @ (sK31 @ X1))))) = $false)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f18286])).
% 191.50/28.66 thf(f18286,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = ((^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: (~ (X1 @ Y1 @ Y0))))) @ (sK31 @ X1))) | ($false = (scott_P @ X1 @ X0))) )),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f4568])).
% 191.50/28.66 thf(f4568,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: (~ (X1 @ Y1 @ Y0)))))) = $false) | ($false = (scott_P @ X1 @ X0))) )),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f4466])).
% 191.50/28.66 thf(f4466,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: (~ (X1 @ Y1 @ Y0)))))) & (scott_P @ X1 @ X0)))) )),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f4171])).
% 191.50/28.66 thf(f4171,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((~ ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: (~ (X1 @ Y1 @ Y0)))))) & (scott_P @ X1 @ X0))) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f4170])).
% 191.50/28.66 thf(f4170,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((~ ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => $false))))) & (scott_P @ X1 @ X0))) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f4169])).
% 191.50/28.66 thf(f4169,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => $false))))) & (scott_P @ X1 @ X0)) => $false) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f4073])).
% 191.50/28.66 thf(f4073,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => ((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: ($false)))) @ Y1 @ Y0)))))) & (scott_P @ X1 @ X0)) => $false) = $true)) )),
% 191.50/28.66 inference(superposition,[status(thm)],[f183,f4025])).
% 191.50/28.66 thf(f4025,plain,(
% 191.50/28.66 ( ! [X2 : qML_i] : (($false = (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X2))) )),
% 191.50/28.66 inference(trivial_inequality_removal,[status(thm)],[f4024])).
% 191.50/28.66 thf(f4024,plain,(
% 191.50/28.66 ( ! [X2 : qML_i] : (($false = $true) | ($false = (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X2))) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f3915])).
% 191.50/28.66 thf(f3915,plain,(
% 191.50/28.66 ( ! [X2 : qML_i,X1 : qML_mu] : (($false = (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X2)) | (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK9 @ X1) @ (sK8 @ X1)) = $true)) )),
% 191.50/28.66 inference(primitive_instantiation,[status(thm)],[f534])).
% 191.50/28.66 thf(f534,plain,(
% 191.50/28.66 ( ! [X2 : qML_i,X0 : qML_mu > qML_i > $o,X1 : qML_mu] : (($false = (scott_P @ X0 @ X2)) | ((X0 @ (sK9 @ X1) @ (sK8 @ X1)) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f510])).
% 191.50/28.66 thf(f510,plain,(
% 191.50/28.66 ( ! [X2 : qML_i,X0 : qML_mu > qML_i > $o,X1 : qML_mu] : (($false = (scott_P @ X0 @ X2)) | (($true => (X0 @ (sK9 @ X1) @ (sK8 @ X1))) = $true)) )),
% 191.50/28.66 inference(superposition,[status(thm)],[f470,f238])).
% 191.50/28.66 thf(f470,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu,X1 : qML_mu > qML_i > $o] : ((((scott_P @ X1 @ (sK8 @ X0)) => (X1 @ (sK9 @ X0) @ (sK8 @ X0))) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f469])).
% 191.50/28.66 thf(f469,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu,X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ (sK8 @ X0)) => (Y0 @ (sK9 @ X0) @ (sK8 @ X0)))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f467])).
% 191.50/28.66 thf(f467,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ (sK8 @ X0)) => (Y0 @ (sK9 @ X0) @ (sK8 @ X0))))) = $true)) )),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f466])).
% 191.50/28.66 thf(f466,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (($false = (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ (sK8 @ X0)) => (Y0 @ (sK9 @ X0) @ (sK8 @ X0)))))))) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f465])).
% 191.50/28.66 thf(f465,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (($false = ($true => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ (sK8 @ X0)) => (Y0 @ (sK9 @ X0) @ (sK8 @ X0))))))))) )),
% 191.50/28.66 inference(backward_demodulation,[status(thm)],[f462,f464])).
% 191.50/28.66 thf(f464,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (($true = (sK3 @ X0 @ (sK9 @ X0) @ (sK8 @ X0)))) )),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f462])).
% 191.50/28.66 thf(f462,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (($false = ((sK3 @ X0 @ (sK9 @ X0) @ (sK8 @ X0)) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ (sK8 @ X0)) => (Y0 @ (sK9 @ X0) @ (sK8 @ X0))))))))) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f461])).
% 191.50/28.66 thf(f461,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (($false = ((^[Y0 : qML_mu]: ((sK3 @ X0 @ Y0 @ (sK8 @ X0)) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ (sK8 @ X0)) => (Y1 @ Y0 @ (sK8 @ X0)))))))) @ (sK9 @ X0)))) )),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f459])).
% 191.50/28.66 thf(f459,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (((!! @ qML_mu @ (^[Y0 : qML_mu]: ((sK3 @ X0 @ Y0 @ (sK8 @ X0)) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ (sK8 @ X0)) => (Y1 @ Y0 @ (sK8 @ X0))))))))) = $false)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f458])).
% 191.50/28.66 thf(f458,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (($false = ((^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((sK3 @ X0 @ Y1 @ Y0) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))) @ (sK8 @ X0)))) )),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f456])).
% 191.50/28.66 thf(f456,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((sK3 @ X0 @ Y1 @ Y0) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))) = $false)) )),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f235])).
% 191.50/28.66 thf(f235,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : (((~ (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((sK3 @ X0 @ Y1 @ Y0) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))))) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f234])).
% 191.50/28.66 thf(f234,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : ((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((sK3 @ X0 @ Y1 @ Y0) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))) => $false) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f223])).
% 191.50/28.66 thf(f223,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu] : ((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((sK3 @ X0 @ Y1 @ Y0) => ((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3)))))))) @ Y1 @ Y0)))))) => $false) = $true)) )),
% 191.50/28.66 inference(superposition,[status(thm)],[f219,f128])).
% 191.50/28.66 thf(f128,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : (($false = (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ X0))) )),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f95])).
% 191.50/28.66 thf(f95,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : (((~ (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ X0)) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f94])).
% 191.50/28.66 thf(f94,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : ((((scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ X0) => $false) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f93])).
% 191.50/28.66 thf(f93,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : (($true = ((scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ X0) => (~ $true)))) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f89])).
% 191.50/28.66 thf(f89,plain,(
% 191.50/28.66 ( ! [X0 : qML_i] : ((((scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ ((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))) @ Y0 @ Y1))))) @ X0) => (~ $true)) = $true)) )),
% 191.50/28.66 inference(superposition,[status(thm)],[f86,f78])).
% 191.50/28.66 thf(f86,plain,(
% 191.50/28.66 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : ((((scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X1 @ Y0 @ Y1))))) @ X2) => (~ (scott_P @ X1 @ X2))) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f85])).
% 191.50/28.66 thf(f85,plain,(
% 191.50/28.66 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_i]: ((scott_P @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (~ (X1 @ Y1 @ Y2))))) @ Y0) => (~ (scott_P @ X1 @ Y0)))) @ X2) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f84])).
% 191.50/28.66 thf(f84,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : (((!! @ qML_i @ (^[Y0 : qML_i]: ((scott_P @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (~ (X1 @ Y1 @ Y2))))) @ Y0) => (~ (scott_P @ X1 @ Y0))))) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f83])).
% 191.50/28.66 thf(f83,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y1 : qML_i]: ((scott_P @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (Y0 @ Y2 @ Y3))))) @ Y1) => (~ (scott_P @ Y0 @ Y1)))))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f33])).
% 191.50/28.66 thf(f33,plain,(
% 191.50/28.66 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y1 : qML_i]: ((scott_P @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (Y0 @ Y2 @ Y3))))) @ Y1) => (~ (scott_P @ Y0 @ Y1))))))) = $true)),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f26])).
% 191.50/28.66 thf(f26,plain,(
% 191.50/28.66 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y1 : qML_i]: ((scott_P @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (Y0 @ Y2 @ Y3))))) @ Y1) => (~ (scott_P @ Y0 @ Y1))))))) = $true)),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f25])).
% 191.50/28.66 thf(f25,plain,(
% 191.50/28.66 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : ((scott_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X1 @ X2 @ X3))) @ X0) => ~(scott_P @ X1 @ X0))),
% 191.50/28.66 inference(rectify,[status(thm)],[f8])).
% 191.50/28.66 thf(f8,axiom,(
% 191.50/28.66 ! [X4 : qML_i,X5 : qML_mu > qML_i > $o] : ((scott_P @ (^[X2 : qML_mu, X6 : qML_i] : (~(X5 @ X2 @ X6))) @ X4) => ~(scott_P @ X5 @ X4))),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_7_A1a)).
% 191.50/28.66 thf(f219,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu,X1 : qML_mu > qML_i > $o] : ((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((sK3 @ X0 @ Y1 @ Y0) => (X1 @ Y1 @ Y0)))))) => (scott_P @ X1 @ sK2)) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f192])).
% 191.50/28.66 thf(f192,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu,X1 : qML_mu > qML_i > $o] : (((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((sK3 @ X0 @ Y1 @ Y0) => (X1 @ Y1 @ Y0)))))) & $true) => (scott_P @ X1 @ sK2)) = $true)) )),
% 191.50/28.66 inference(superposition,[status(thm)],[f183,f66])).
% 191.50/28.66 thf(f66,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu] : (((scott_P @ (sK3 @ X1) @ sK2) = $true)) )),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f64])).
% 191.50/28.66 thf(f64,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu] : ((((scott_P @ (sK3 @ X1) @ sK2) => (sK3 @ X1 @ X1 @ sK2)) = $false)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f63])).
% 191.50/28.66 thf(f63,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu] : ((((^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK2) => (Y0 @ X1 @ sK2))) @ (sK3 @ X1)) = $false)) )),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f62])).
% 191.50/28.66 thf(f62,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu] : (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK2) => (Y0 @ X1 @ sK2)))) = $false)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f61])).
% 191.50/28.66 thf(f61,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu] : ((((^[Y0 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ sK2) => (Y1 @ Y0 @ sK2))))) @ X1) = $false)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f59])).
% 191.50/28.66 thf(f59,plain,(
% 191.50/28.66 ($false = (?? @ qML_mu @ (^[Y0 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ sK2) => (Y1 @ Y0 @ sK2)))))))),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f58])).
% 191.50/28.66 thf(f58,plain,(
% 191.50/28.66 ($false = ((^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))) @ sK2))),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f56])).
% 191.50/28.66 thf(f56,plain,(
% 191.50/28.66 ($false = (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f50])).
% 191.50/28.66 thf(f50,plain,(
% 191.50/28.66 ((~ (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))) = $true)),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f45])).
% 191.50/28.66 thf(f45,plain,(
% 191.50/28.66 ((~ (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: ((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))) @ Y1 @ Y0)))))) = $true)),
% 191.50/28.66 inference(definition_unfolding,[status(thm)],[f36,f41])).
% 191.50/28.66 thf(f36,plain,(
% 191.50/28.66 ((~ (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (scott_G @ Y1 @ Y0)))))) = $true)),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f24])).
% 191.50/28.66 thf(f24,plain,(
% 191.50/28.66 ((~ (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (scott_G @ Y1 @ Y0)))))) = $true)),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f23])).
% 191.50/28.66 thf(f23,plain,(
% 191.50/28.66 ~! [X1 : qML_i] : ? [X2 : qML_mu] : (scott_G @ X2 @ X1)),
% 191.50/28.66 inference(rectify,[status(thm)],[f11])).
% 191.50/28.66 thf(f11,negated_conjecture,(
% 191.50/28.66 ~! [X12 : qML_i,X8 : qML_i] : ? [X5 : qML_mu] : (scott_G @ X5 @ X8)),
% 191.50/28.66 inference(negated_conjecture,[status(cth)],[f10])).
% 191.50/28.66 thf(f10,conjecture,(
% 191.50/28.66 ! [X12 : qML_i,X8 : qML_i] : ? [X5 : qML_mu] : (scott_G @ X5 @ X8)),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',conj_0)).
% 191.50/28.66 thf(f183,plain,(
% 191.50/28.66 ( ! [X2 : qML_mu > qML_i > $o,X3 : qML_i,X1 : qML_mu > qML_i > $o] : (((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X2 @ Y1 @ Y0) => (X1 @ Y1 @ Y0)))))) & (scott_P @ X2 @ X3)) => (scott_P @ X1 @ X3)) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f182])).
% 191.50/28.66 thf(f182,plain,(
% 191.50/28.66 ( ! [X2 : qML_mu > qML_i > $o,X3 : qML_i,X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_i]: (((!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X2 @ Y2 @ Y1) => (X1 @ Y2 @ Y1)))))) & (scott_P @ X2 @ Y0)) => (scott_P @ X1 @ Y0))) @ X3) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f181])).
% 191.50/28.66 thf(f181,plain,(
% 191.50/28.66 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o] : (($true = (!! @ qML_i @ (^[Y0 : qML_i]: (((!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X2 @ Y2 @ Y1) => (X1 @ Y2 @ Y1)))))) & (scott_P @ X2 @ Y0)) => (scott_P @ X1 @ Y0)))))) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f180])).
% 191.50/28.66 thf(f180,plain,(
% 191.50/28.66 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y1 : qML_i]: (((!! @ qML_i @ (^[Y2 : qML_i]: (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (X1 @ Y3 @ Y2)))))) & (scott_P @ Y0 @ Y1)) => (scott_P @ X1 @ Y1))))) @ X2) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f179])).
% 191.50/28.66 thf(f179,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y1 : qML_i]: (((!! @ qML_i @ (^[Y2 : qML_i]: (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (X1 @ Y3 @ Y2)))))) & (scott_P @ Y0 @ Y1)) => (scott_P @ X1 @ Y1)))))) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f178])).
% 191.50/28.66 thf(f178,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu > qML_i > $o]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y2 : qML_i]: (((!! @ qML_i @ (^[Y3 : qML_i]: (!! @ qML_mu @ (^[Y4 : qML_mu]: ((Y1 @ Y4 @ Y3) => (Y0 @ Y4 @ Y3)))))) & (scott_P @ Y1 @ Y2)) => (scott_P @ Y0 @ Y2))))))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f38])).
% 191.50/28.66 thf(f38,plain,(
% 191.50/28.66 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y2 : qML_i]: (((!! @ qML_i @ (^[Y3 : qML_i]: (!! @ qML_mu @ (^[Y4 : qML_mu]: ((Y1 @ Y4 @ Y3) => (Y0 @ Y4 @ Y3)))))) & (scott_P @ Y1 @ Y2)) => (scott_P @ Y0 @ Y2)))))))) = $true)),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f22])).
% 191.50/28.66 thf(f22,plain,(
% 191.50/28.66 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: (!! @ qML_i @ (^[Y2 : qML_i]: (((!! @ qML_i @ (^[Y3 : qML_i]: (!! @ qML_mu @ (^[Y4 : qML_mu]: ((Y1 @ Y4 @ Y3) => (Y0 @ Y4 @ Y3)))))) & (scott_P @ Y1 @ Y2)) => (scott_P @ Y0 @ Y2)))))))) = $true)),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f21])).
% 191.50/28.66 thf(f21,plain,(
% 191.50/28.66 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o,X2 : qML_mu > qML_i > $o] : (((scott_P @ X1 @ X0) & ! [X3 : qML_mu,X4 : qML_i] : ((X1 @ X3 @ X4) => (X2 @ X3 @ X4))) => (scott_P @ X2 @ X0))),
% 191.50/28.66 inference(rectify,[status(thm)],[f5])).
% 191.50/28.66 thf(f5,axiom,(
% 191.50/28.66 ! [X4 : qML_i,X5 : qML_mu > qML_i > $o,X7 : qML_mu > qML_i > $o] : (((scott_P @ X5 @ X4) & ! [X9 : qML_mu,X8 : qML_i] : ((X5 @ X9 @ X8) => (X7 @ X9 @ X8))) => (scott_P @ X7 @ X4))),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_4_A2)).
% 191.50/28.66 thf(f19613,plain,(
% 191.50/28.66 spl0_2),
% 191.50/28.66 inference(avatar_split_clause,[status(thm)],[f19600,f19607])).
% 191.50/28.66 thf(f19600,plain,(
% 191.50/28.66 ((~ (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1)))))))))) = $true)),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f19599])).
% 191.50/28.66 thf(f19599,plain,(
% 191.50/28.66 (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1))))))))) => $false) = $true)),
% 191.50/28.66 inference(forward_demodulation,[status(thm)],[f19598,f56])).
% 191.50/28.66 thf(f19598,plain,(
% 191.50/28.66 (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))) = $true)),
% 191.50/28.66 inference(trivial_inequality_removal,[status(thm)],[f19597])).
% 191.50/28.66 thf(f19597,plain,(
% 191.50/28.66 (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))) = $true) | ($false = $true)),
% 191.50/28.66 inference(forward_demodulation,[status(thm)],[f19584,f1091])).
% 191.50/28.66 thf(f1091,plain,(
% 191.50/28.66 ($true = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK18) => (Y0 @ sK19 @ sK18)))))),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f1088])).
% 191.50/28.66 thf(f1088,plain,(
% 191.50/28.66 ((~ (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK18) => (Y0 @ sK19 @ sK18))))) = $false)),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f1087])).
% 191.50/28.66 thf(f1087,plain,(
% 191.50/28.66 ($false = ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (((Y0 @ sK19 @ sK18) & (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ sK19 @ sK18) => (!! @ qML_i @ (^[Y2 : qML_i]: (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1)))))))) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK18) => (Y0 @ sK19 @ sK18)))))))),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f1086])).
% 191.50/28.66 thf(f1086,plain,(
% 191.50/28.66 ($false = ((^[Y0 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: (((Y1 @ Y0 @ sK18) & (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((Y2 @ Y0 @ sK18) => (!! @ qML_i @ (^[Y3 : qML_i]: (!! @ qML_mu @ (^[Y4 : qML_mu]: ((Y1 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))))))) => (!! @ qML_i @ (^[Y2 : qML_i]: (?? @ qML_mu @ (^[Y3 : qML_mu]: (Y1 @ Y3 @ Y2)))))))) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ sK18) => (Y1 @ Y0 @ sK18))))))) @ sK19))),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f1085])).
% 191.50/28.66 thf(f1085,plain,(
% 191.50/28.66 ($false = (!! @ qML_mu @ (^[Y0 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: (((Y1 @ Y0 @ sK18) & (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((Y2 @ Y0 @ sK18) => (!! @ qML_i @ (^[Y3 : qML_i]: (!! @ qML_mu @ (^[Y4 : qML_mu]: ((Y1 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3)))))))))) => (!! @ qML_i @ (^[Y2 : qML_i]: (?? @ qML_mu @ (^[Y3 : qML_mu]: (Y1 @ Y3 @ Y2)))))))) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((scott_P @ Y1 @ sK18) => (Y1 @ Y0 @ sK18)))))))))),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f1084])).
% 191.50/28.66 thf(f1084,plain,(
% 191.50/28.66 (((^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((Y2 @ Y1 @ Y0) & (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y0) => (!! @ qML_i @ (^[Y4 : qML_i]: (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))) @ sK18) = $false)),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f746])).
% 191.50/28.66 thf(f746,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((Y2 @ Y1 @ Y0) & (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y0) => (!! @ qML_i @ (^[Y4 : qML_i]: (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))) = $false)),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f745])).
% 191.50/28.66 thf(f745,plain,(
% 191.50/28.66 ($false = ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((Y2 @ Y1 @ Y0) & (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y0) => (!! @ qML_i @ (^[Y4 : qML_i]: (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))) & $true))),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f731])).
% 191.50/28.66 thf(f731,plain,(
% 191.50/28.66 ($false = ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: (((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: (((Y4 @ Y2 @ Y3) & (!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((Y5 @ Y2 @ Y3) => (!! @ qML_i @ (^[Y6 : qML_i]: (!! @ qML_mu @ (^[Y7 : qML_mu]: ((Y4 @ Y7 @ Y6) => (Y5 @ Y7 @ Y6)))))))))) => (!! @ qML_i @ (^[Y5 : qML_i]: (?? @ qML_mu @ (^[Y6 : qML_mu]: (Y4 @ Y6 @ Y5))))))))))) @ Y1 @ Y0) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))) & $true))),
% 191.50/28.66 inference(superposition,[status(thm)],[f650,f716])).
% 191.50/28.66 thf(f716,plain,(
% 191.50/28.66 ( ! [X1 : qML_i] : (((scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((Y2 @ Y0 @ Y1) & (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f48])).
% 191.50/28.66 thf(f48,plain,(
% 191.50/28.66 ($true = (!! @ qML_i @ (scott_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((Y2 @ Y0 @ Y1) & (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))))),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f46])).
% 191.50/28.66 thf(f46,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (scott_P @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: (((^[Y4 : qML_mu > qML_i > $o]: ((^[Y5 : qML_mu]: ((^[Y6 : qML_i]: ((Y4 @ Y5 @ Y6) & (!! @ (qML_mu > qML_i > $o) @ (^[Y7 : qML_mu > qML_i > $o]: ((Y7 @ Y5 @ Y6) => (!! @ qML_i @ (^[Y8 : qML_i]: (!! @ qML_mu @ (^[Y9 : qML_mu]: ((Y4 @ Y9 @ Y8) => (Y7 @ Y9 @ Y8))))))))))))))) @ Y3 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y4 : qML_i]: (?? @ qML_mu @ (^[Y5 : qML_mu]: (Y3 @ Y5 @ Y4))))))))))) @ Y0))) = $true)),
% 191.50/28.66 inference(definition_unfolding,[status(thm)],[f37,f43])).
% 191.50/28.66 thf(f43,plain,(
% 191.50/28.66 (scott_NE_QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((^[Y3 : qML_mu > qML_i > $o]: ((^[Y4 : qML_mu]: ((^[Y5 : qML_i]: ((Y3 @ Y4 @ Y5) & (!! @ (qML_mu > qML_i > $o) @ (^[Y6 : qML_mu > qML_i > $o]: ((Y6 @ Y4 @ Y5) => (!! @ qML_i @ (^[Y7 : qML_i]: (!! @ qML_mu @ (^[Y8 : qML_mu]: ((Y3 @ Y8 @ Y7) => (Y6 @ Y8 @ Y7))))))))))))))) @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))),
% 191.50/28.66 inference(definition_unfolding,[status(thm)],[f34,f40])).
% 191.50/28.66 thf(f40,plain,(
% 191.50/28.66 (scott_ess_QML_mu = (^[Y0 : qML_mu > qML_i > $o]: ((^[Y1 : qML_mu]: ((^[Y2 : qML_i]: ((Y0 @ Y1 @ Y2) & (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y4 : qML_i]: (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))))))))))),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f28])).
% 191.50/28.66 thf(f28,plain,(
% 191.50/28.66 (scott_ess_QML_mu = (^[Y0 : qML_mu > qML_i > $o]: ((^[Y1 : qML_mu]: ((^[Y2 : qML_i]: ((Y0 @ Y1 @ Y2) & (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y4 : qML_i]: (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))))))))))),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f27])).
% 191.50/28.66 thf(f27,plain,(
% 191.50/28.66 (scott_ess_QML_mu = (^[X0 : qML_mu > qML_i > $o, X1 : qML_mu, X2 : qML_i] : (! [X3 : qML_mu > qML_i > $o] : ((X3 @ X1 @ X2) => ! [X4 : qML_mu,X5 : qML_i] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5))) & (X0 @ X1 @ X2))))),
% 191.50/28.66 inference(rectify,[status(thm)],[f7])).
% 191.50/28.66 thf(f7,axiom,(
% 191.50/28.66 (scott_ess_QML_mu = (^[X10 : qML_mu > qML_i > $o, X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((X2 @ X0 @ X1) => ! [X6 : qML_mu,X11 : qML_i] : ((X10 @ X6 @ X11) => (X2 @ X6 @ X11))) & (X10 @ X0 @ X1))))),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_6_ess__def)).
% 191.50/28.66 thf(f34,plain,(
% 191.50/28.66 (scott_NE_QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_ess_QML_mu @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f20])).
% 191.50/28.66 thf(f20,plain,(
% 191.50/28.66 (scott_NE_QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_ess_QML_mu @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))))),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f19])).
% 191.50/28.66 thf(f19,plain,(
% 191.50/28.66 ((^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((scott_ess_QML_mu @ X2 @ X0 @ X1) => ! [X3 : qML_i] : ? [X4 : qML_mu] : (X2 @ X4 @ X3)))) = scott_NE_QML_mu)),
% 191.50/28.66 inference(rectify,[status(thm)],[f9])).
% 191.50/28.66 thf(f9,axiom,(
% 191.50/28.66 ((^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((scott_ess_QML_mu @ X2 @ X0 @ X1) => ! [X11 : qML_i] : ? [X6 : qML_mu] : (X2 @ X6 @ X11)))) = scott_NE_QML_mu)),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_8_NE__def)).
% 191.50/28.66 thf(f37,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (scott_P @ scott_NE_QML_mu @ Y0))) = $true)),
% 191.50/28.66 inference(cnf_transformation,[status(thm)],[f16])).
% 191.50/28.66 thf(f16,plain,(
% 191.50/28.66 ((!! @ qML_i @ (^[Y0 : qML_i]: (scott_P @ scott_NE_QML_mu @ Y0))) = $true)),
% 191.50/28.66 inference(fool_elimination,[status(thm)],[f15])).
% 191.50/28.66 thf(f15,plain,(
% 191.50/28.66 ! [X0 : qML_i] : (scott_P @ scott_NE_QML_mu @ X0)),
% 191.50/28.66 inference(rectify,[status(thm)],[f6])).
% 191.50/28.66 thf(f6,axiom,(
% 191.50/28.66 ! [X3 : qML_i] : (scott_P @ scott_NE_QML_mu @ X3)),
% 191.50/28.66 file('/export/starexec/sandbox2/tmp/tmp.WwEYhRHwiJ/DTF2THF_19310.p',fact_5_A5)).
% 191.50/28.66 thf(f650,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : ((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))) & (scott_P @ X1 @ X0)) = $false)) )),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f215])).
% 191.50/28.66 thf(f215,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((~ ((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))) & (scott_P @ X1 @ X0))) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f214])).
% 191.50/28.66 thf(f214,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0)))))))))) & (scott_P @ X1 @ X0)) => $false) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f187])).
% 191.50/28.66 thf(f187,plain,(
% 191.50/28.66 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => ((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (~ (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3)))))))) @ Y1 @ Y0)))))) & (scott_P @ X1 @ X0)) => $false) = $true)) )),
% 191.50/28.66 inference(superposition,[status(thm)],[f183,f128])).
% 191.50/28.66 thf(f19584,plain,(
% 191.50/28.66 ($false = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK18) => (Y0 @ sK19 @ sK18))))) | (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))) = $true)),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f19583])).
% 191.50/28.66 thf(f19583,plain,(
% 191.50/28.66 ($false = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK18) => (Y0 @ sK19 @ sK18))))) | ((($true & (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y1) => (Y3 @ Y2 @ Y1)))) => (Y0 @ Y2 @ Y1)))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y0) => (Y2 @ Y1 @ Y0))))))))) = $true)),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f19576])).
% 191.50/28.66 thf(f19576,plain,(
% 191.50/28.66 (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ sK19 @ sK18) = $false) | ((($true & (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: (((^[Y3 : qML_mu]: ((^[Y4 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y5 : qML_mu > qML_i > $o]: ((scott_P @ Y5 @ Y4) => (Y5 @ Y3 @ Y4))))))) @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: ((^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))) @ Y1 @ Y0)))))) = $true)),
% 191.50/28.66 inference(superposition,[status(thm)],[f19314,f16147])).
% 191.50/28.66 thf(f16147,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : (((X0 @ (sK32 @ X0) @ (sK31 @ X0)) = $true) | ($false = (X0 @ sK19 @ sK18))) )),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f16146])).
% 191.50/28.66 thf(f16146,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : (($false = (~ (X0 @ (sK32 @ X0) @ (sK31 @ X0)))) | ($false = (X0 @ sK19 @ sK18))) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f16145])).
% 191.50/28.66 thf(f16145,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : (($false = (X0 @ sK19 @ sK18)) | (((^[Y0 : qML_mu]: (~ (X0 @ Y0 @ (sK31 @ X0)))) @ (sK32 @ X0)) = $false)) )),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f16143])).
% 191.50/28.66 thf(f16143,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : (($false = (!! @ qML_mu @ (^[Y0 : qML_mu]: (~ (X0 @ Y0 @ (sK31 @ X0)))))) | ($false = (X0 @ sK19 @ sK18))) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f16141])).
% 191.50/28.66 thf(f16141,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : (($false = (X0 @ sK19 @ sK18)) | ($false = ((^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: (~ (X0 @ Y1 @ Y0))))) @ (sK31 @ X0)))) )),
% 191.50/28.66 inference(sigma_clausification,[status(thm)],[f4604])).
% 191.50/28.66 thf(f4604,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : (($false = (!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: (~ (X0 @ Y1 @ Y0))))))) | ($false = (X0 @ sK19 @ sK18))) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f4595])).
% 191.50/28.66 thf(f4595,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : ((((!! @ qML_i @ (^[Y0 : qML_i]: (!! @ qML_mu @ (^[Y1 : qML_mu]: (~ (X0 @ Y1 @ Y0)))))) & $true) = $false) | ($false = (X0 @ sK19 @ sK18))) )),
% 191.50/28.66 inference(superposition,[status(thm)],[f4466,f2011])).
% 191.50/28.66 thf(f2011,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : (((scott_P @ X0 @ sK18) = $true) | ($false = (X0 @ sK19 @ sK18))) )),
% 191.50/28.66 inference(not_proxy_clausification,[status(thm)],[f1302])).
% 191.50/28.66 thf(f1302,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : (((scott_P @ X0 @ sK18) = $true) | ((~ (X0 @ sK19 @ sK18)) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f1301])).
% 191.50/28.66 thf(f1301,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : (((~ (X0 @ sK19 @ sK18)) = $true) | ((~ (~ (scott_P @ X0 @ sK18))) = $true)) )),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f1300])).
% 191.50/28.66 thf(f1300,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : ((((~ (scott_P @ X0 @ sK18)) => $false) = $true) | ((~ (X0 @ sK19 @ sK18)) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f1273])).
% 191.50/28.66 thf(f1273,plain,(
% 191.50/28.66 ( ! [X0 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ sK19 @ sK18) = $true) | (((~ (scott_P @ X0 @ sK18)) => $false) = $true)) )),
% 191.50/28.66 inference(superposition,[status(thm)],[f143,f1163])).
% 191.50/28.66 thf(f1163,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : (((scott_P @ X1 @ sK18) = $false) | ((X1 @ sK19 @ sK18) = $true)) )),
% 191.50/28.66 inference(binary_proxy_clausification,[status(thm)],[f1162])).
% 191.50/28.66 thf(f1162,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((scott_P @ X1 @ sK18) => (X1 @ sK19 @ sK18)) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f1160])).
% 191.50/28.66 thf(f1160,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu > qML_i > $o]: ((scott_P @ Y0 @ sK18) => (Y0 @ sK19 @ sK18))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f1091])).
% 191.50/28.66 thf(f19314,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : (((((X1 @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))) & (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: (?? @ qML_mu @ (^[Y1 : qML_mu]: (X1 @ Y1 @ Y0)))))) = $true)) )),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f19313])).
% 191.50/28.66 thf(f19313,plain,(
% 191.50/28.66 ( ! [X1 : qML_mu > qML_i > $o] : ((((^[Y0 : qML_mu > qML_i > $o]: (((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) & (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ (sK32 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3)))))))) @ (sK31 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))))) => (!! @ qML_i @ (^[Y2 : qML_i]: (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1))))))) @ X1) = $true)) )),
% 191.50/28.66 inference(pi_clausification,[status(thm)],[f19302])).
% 191.50/28.66 thf(f19302,plain,(
% 191.50/28.66 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) & (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ (sK32 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3)))))))) @ (sK31 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))))) => (!! @ qML_i @ (^[Y2 : qML_i]: (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1)))))))) = $true)),
% 191.50/28.66 inference(boolean_simplification,[status(thm)],[f19301])).
% 191.50/28.66 thf(f19301,plain,(
% 191.50/28.66 (($true => (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: (((Y0 @ (sK32 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2)))))))) @ (sK31 @ (^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((scott_P @ Y3 @ Y2) => (Y3 @ Y1 @ Y2))))))))) & (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ (sK32 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3)))))))) @ (sK31 @ (^[Y2 : qML_mu]: ((^[Y3 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y4 : qML_mu > qML_i > $o]: ((scott_P @ Y4 @ Y3) => (Y4 @ Y2 @ Y3))))))))) => (!! @ qML_i @ (^[Y2 : qML_i]: (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1))))))))) = $true)),
% 191.50/28.66 inference(beta_eta_normalization,[status(thm)],[f19215])).
% 191.50/28.66 thf(f19215,plain,(
% 191.50/28.66 ($true = ($true => ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((Y2 @ Y0 @ Y1) & (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3))))))))))) @ (sK32 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))) @ (sK31 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))))))),
% 191.50/28.66 inference(superposition,[status(thm)],[f19205,f716])).
% 191.50/28.66 % SZS output end Proof for DTF2THF_19310
% 191.50/28.66 % (20267)------------------------------
% 191.50/28.66 % (20267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 191.50/28.66 % (20267)Termination reason: Refutation
% 191.50/28.66
% 191.50/28.66 % (20267)Memory used [KB]: 8699
% 191.50/28.66 % (20267)Time elapsed: 2.059 s
% 191.50/28.66 % (20267)Instructions burned: 4971 (million)
% 191.50/28.66 % (20267)------------------------------
% 191.50/28.66 % (20267)------------------------------
% 191.50/28.66 % (19584)Success in time 27.334 s
%------------------------------------------------------------------------------