%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PHI007^5 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:27:40 AM UTC 2026
% Result : Theorem 15.88s 3.43s
% Output : Refutation 15.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 14
% Syntax : Number of formulae : 126 ( 27 unt; 0 typ; 4 def)
% Number of atoms : 857 ( 223 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 1600 ( 115 ~; 138 |; 15 &;1096 @)
% ( 4 <=>; 132 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 338 ( 338 >; 0 *; 0 +; 0 <<)
% Number of symbols : 105 ( 100 usr; 14 con; 0-3 aty)
% ( 84 !!; 16 ??; 0 @@+; 0 @@-)
% Number of variables : 475 ( 277 ^; 188 !; 10 ?; 475 :)
% 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,
inconsistency_G: qML_mu > qML_i > $o ).
thf(func_def_3,type,
incons1905966852QML_mu: qML_mu > qML_i > $o ).
thf(func_def_4,type,
inconsistency_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
thf(func_def_5,type,
incons1389517216QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_6,type,
qML_r: qML_i > qML_i > $o ).
thf(func_def_19,type,
sK0: qML_i > ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_20,type,
sK1: qML_i > ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_25,type,
ph3:
!>[X0: $tType] : X0 ).
thf(func_def_26,type,
sK4: ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_27,type,
sK5: ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_28,type,
sK6: ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_29,type,
sK7: ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_30,type,
sK8: qML_mu ).
thf(func_def_31,type,
sK9: qML_i ).
thf(func_def_32,type,
sK10: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_33,type,
sK11: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_34,type,
sK12: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_35,type,
sK13: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_36,type,
sK14: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_37,type,
sK15: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_38,type,
sK16: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_39,type,
sK17: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_40,type,
sK18: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_41,type,
sK19: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_42,type,
sK20: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_43,type,
sK21: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_44,type,
sK22: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_45,type,
sK23: qML_mu ).
thf(func_def_46,type,
sK24: qML_i ).
thf(func_def_47,type,
sK25: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_48,type,
sK26: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_49,type,
sK27: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_50,type,
sK28: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_51,type,
sK29: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_52,type,
sK30: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_53,type,
sK31: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_54,type,
sK32: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_55,type,
sK33: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_56,type,
sK34: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_57,type,
sK35: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_58,type,
sK36: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_59,type,
sK37: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_60,type,
sK38: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_61,type,
sK39: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_62,type,
sK40: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_63,type,
sK41: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_64,type,
sK42: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_65,type,
sK43: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_66,type,
sK44: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_67,type,
sK45: qML_mu ).
thf(func_def_68,type,
sK46: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_69,type,
sK47: qML_i ).
thf(func_def_70,type,
sK48: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_71,type,
sK49: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_72,type,
sK50: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_73,type,
sK51: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_74,type,
sK52: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_75,type,
sK53: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_76,type,
sK54: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_77,type,
sK55: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_78,type,
sK56: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_79,type,
sK57: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_80,type,
sK58: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_81,type,
sK59: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_82,type,
sK60: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_83,type,
sK61: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_84,type,
sK62: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_85,type,
sK63: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_86,type,
sK64: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_87,type,
sK65: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_88,type,
sK66: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_89,type,
sK67: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_90,type,
sK68: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_91,type,
sK69: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_92,type,
sK70: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_93,type,
sK71: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_94,type,
sK72: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_95,type,
sK73: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_96,type,
sK74: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_97,type,
sK75: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_98,type,
sK76: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_99,type,
sK77: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_100,type,
sK78: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_101,type,
sK79: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_102,type,
sK80: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_103,type,
sK81: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_104,type,
sK82: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_105,type,
sK83: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_106,type,
sK84: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_107,type,
sK85: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_108,type,
sK86: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_109,type,
sK87: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_110,type,
sK88: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_111,type,
sK89: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_112,type,
sK90: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_113,type,
sK91: qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(f3094,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f752,f1867,f2244,f2406,f3092]) ).
thf(f3092,plain,
( spl2_50
| spl2_4 ),
inference(avatar_split_clause,[status(thm)],[f3085,f144,f2251]) ).
thf(f2251,definition,
( spl2_50
<=> ! [X0: qML_i] :
( ( $true
!= ( qML_r @ sK47 @ X0 ) )
| ( $false
= ( qML_r @ sK47 @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl2_50])],[avatar_definition]) ).
thf(f144,definition,
( spl2_4
<=> ( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) ) ),
introduced(definition,[new_symbols(naming,[spl2_4])],[avatar_definition]) ).
thf(f3085,plain,
( ! [X0: qML_i] :
( ( $true
!= ( qML_r @ sK47 @ X0 ) )
| ( $false
= ( qML_r @ sK47 @ X0 ) ) )
| spl2_4 ),
inference(trivial_inequality_removal,[status(thm)],[f3084]) ).
thf(f3084,plain,
( ! [X0: qML_i] :
( ( $false
= ( qML_r @ sK47 @ X0 ) )
| ( $true
!= ( qML_r @ sK47 @ X0 ) )
| ( $false = $true ) )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f3056]) ).
thf(f3056,plain,
( ! [X0: qML_i] :
( ( $false
= ( qML_r @ sK47 @ X0 ) )
| ( $true
= ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ ( sK49
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X0 )
@ X0 ) )
| ( $true
!= ( qML_r @ sK47 @ X0 ) ) )
| spl2_4 ),
inference(equality_factoring,[status(thm)],[f853]) ).
thf(f853,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( $true
= ( X1 @ ( sK51 @ X1 ) @ ( sK50 @ X1 ) ) )
| ( $true
= ( X1 @ ( sK49 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( qML_r @ sK47 @ X2 ) ) )
| spl2_4 ),
inference(binary_proxy_clausification,[status(thm)],[f851]) ).
thf(f851,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( $true
= ( X1 @ ( sK49 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( qML_r @ sK47 @ X2 ) )
| ( $false
= ( ( X1 @ ( sK51 @ X1 ) @ ( sK50 @ X1 ) )
=> ( sK48 @ X1 @ ( sK51 @ X1 ) @ ( sK50 @ X1 ) ) ) ) )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f850]) ).
thf(f850,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( $true
= ( X1 @ ( sK49 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( qML_r @ sK47 @ X2 ) )
| ( $false
= ( ^ [Y0: qML_mu] :
( ( X1 @ Y0 @ ( sK50 @ X1 ) )
=> ( sK48 @ X1 @ Y0 @ ( sK50 @ X1 ) ) )
@ ( sK51 @ X1 ) ) ) )
| spl2_4 ),
inference(sigma_clausification,[status(thm)],[f848]) ).
thf(f848,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( qML_r @ sK47 @ X2 ) )
| ( $false
= ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( ( X1 @ Y0 @ ( sK50 @ X1 ) )
=> ( sK48 @ X1 @ Y0 @ ( sK50 @ X1 ) ) ) ) )
| ( $true
= ( X1 @ ( sK49 @ X1 @ X2 ) @ X2 ) ) )
| spl2_4 ),
inference(binary_proxy_clausification,[status(thm)],[f847]) ).
thf(f847,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( qML_r @ sK47 @ X2 ) )
| ( $true
= ( X1 @ ( sK49 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( ( qML_r @ sK47 @ ( sK50 @ X1 ) )
=> ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( ( X1 @ Y0 @ ( sK50 @ X1 ) )
=> ( sK48 @ X1 @ Y0 @ ( sK50 @ X1 ) ) ) ) ) ) )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f846]) ).
thf(f846,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( $true
= ( X1 @ ( sK49 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( qML_r @ sK47 @ X2 ) )
| ( $false
= ( ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK48 @ X1 @ Y1 @ Y0 ) ) ) )
@ ( sK50 @ X1 ) ) ) )
| spl2_4 ),
inference(sigma_clausification,[status(thm)],[f844]) ).
thf(f844,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( qML_r @ sK47 @ X2 ) )
| ( $false
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK48 @ X1 @ Y1 @ Y0 ) ) ) ) ) )
| ( $true
= ( X1 @ ( sK49 @ X1 @ X2 ) @ X2 ) ) )
| spl2_4 ),
inference(binary_proxy_clausification,[status(thm)],[f843]) ).
thf(f843,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( sK48 @ X1 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK48 @ X1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( $true
= ( X1 @ ( sK49 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( qML_r @ sK47 @ X2 ) ) )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f842]) ).
thf(f842,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( sK48 @ X1 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK48 @ X1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( $true
= ( ^ [Y0: qML_mu] : ( X1 @ Y0 @ X2 )
@ ( sK49 @ X1 @ X2 ) ) )
| ( $false
= ( qML_r @ sK47 @ X2 ) ) )
| spl2_4 ),
inference(sigma_clausification,[status(thm)],[f841]) ).
thf(f841,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ?? @ qML_mu
@ ^ [Y0: qML_mu] : ( X1 @ Y0 @ X2 ) )
= $true )
| ( ( ( sK48 @ X1 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK48 @ X1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( $false
= ( qML_r @ sK47 @ X2 ) ) )
| spl2_4 ),
inference(binary_proxy_clausification,[status(thm)],[f840]) ).
thf(f840,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( qML_r @ sK47 @ X2 )
=> ( ?? @ qML_mu
@ ^ [Y0: qML_mu] : ( X1 @ Y0 @ X2 ) ) )
= $true )
| ( ( ( sK48 @ X1 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK48 @ X1 @ Y1 @ Y0 ) ) ) ) ) )
= $false ) )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f839]) ).
thf(f839,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( sK48 @ X1 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK48 @ X1 @ Y1 @ Y0 ) ) ) ) ) )
= $false )
| ( $true
= ( ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( X1 @ Y1 @ Y0 ) ) )
@ X2 ) ) )
| spl2_4 ),
inference(pi_clausification,[status(thm)],[f838]) ).
thf(f838,plain,
( ! [X1: qML_mu > qML_i > $o] :
( ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( X1 @ Y1 @ Y0 ) ) ) )
= $true )
| ( ( ( sK48 @ X1 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK48 @ X1 @ Y1 @ Y0 ) ) ) ) ) )
= $false ) )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f837]) ).
thf(f837,plain,
( ! [X1: qML_mu > qML_i > $o] :
( ( $false
= ( ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK47 @ Y1 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X1 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
@ ( sK48 @ X1 ) ) )
| ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( X1 @ Y1 @ Y0 ) ) ) )
= $true ) )
| spl2_4 ),
inference(sigma_clausification,[status(thm)],[f836]) ).
thf(f836,plain,
( ! [X1: qML_mu > qML_i > $o] :
( ( $false
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK47 @ Y1 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X1 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
| ( ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( X1 @ Y1 @ Y0 ) ) ) )
= $true ) )
| spl2_4 ),
inference(binary_proxy_clausification,[status(thm)],[f835]) ).
thf(f835,plain,
( ! [X1: qML_mu > qML_i > $o] :
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK47 @ Y1 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X1 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK47 @ Y0 )
=> ( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( X1 @ Y1 @ Y0 ) ) ) ) )
= $true )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f834]) ).
thf(f834,plain,
( ! [X1: qML_mu > qML_i > $o] :
( $true
= ( ^ [Y0: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( qML_r @ sK47 @ Y2 )
=> ( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK47 @ Y1 )
=> ( ?? @ qML_mu
@ ^ [Y2: qML_mu] : ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ X1 ) )
| spl2_4 ),
inference(pi_clausification,[status(thm)],[f833]) ).
thf(f833,plain,
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1 @ sK45 @ sK47 )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( qML_r @ sK47 @ Y2 )
=> ( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK47 @ Y1 )
=> ( ?? @ qML_mu
@ ^ [Y2: qML_mu] : ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
= $true )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f832]) ).
thf(f832,plain,
( ( $true
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y1 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ sK45
@ sK47 ) )
| spl2_4 ),
inference(trivial_inequality_removal,[status(thm)],[f814]) ).
thf(f814,plain,
( ( $false = $true )
| ( $true
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y1 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ sK45
@ sK47 ) )
| spl2_4 ),
inference(superposition,[status(thm)],[f56,f803]) ).
thf(f803,plain,
( ! [X1: qML_mu > qML_i > $o] :
( ( $false
= ( inconsistency_P @ X1 @ sK47 ) )
| ( $true
= ( X1 @ sK45 @ sK47 ) ) )
| spl2_4 ),
inference(binary_proxy_clausification,[status(thm)],[f802]) ).
thf(f802,plain,
( ! [X1: qML_mu > qML_i > $o] :
( $true
= ( ( inconsistency_P @ X1 @ sK47 )
=> ( X1 @ sK45 @ sK47 ) ) )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f801]) ).
thf(f801,plain,
( ! [X1: qML_mu > qML_i > $o] :
( $true
= ( ^ [Y0: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y0 @ sK47 )
=> ( Y0 @ sK45 @ sK47 ) )
@ X1 ) )
| spl2_4 ),
inference(pi_clausification,[status(thm)],[f800]) ).
thf(f800,plain,
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y0 @ sK47 )
=> ( Y0 @ sK45 @ sK47 ) ) )
!= $false )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f799]) ).
thf(f799,plain,
( ( ( ^ [Y0: qML_i] : $false
@ sK47 )
!= ( ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y1 @ Y0 )
=> ( Y1 @ sK45 @ Y0 ) ) )
@ sK47 ) )
| spl2_4 ),
inference(negative_extensionality,[status(thm)],[f796]) ).
thf(f796,plain,
( ( ( ^ [Y0: qML_i] : $false )
!= ( ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y1 @ Y0 )
=> ( Y1 @ sK45 @ Y0 ) ) ) ) )
| spl2_4 ),
inference(beta_eta_normalization,[status(thm)],[f795]) ).
thf(f795,plain,
( ( ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ sK45 )
!= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sK45 ) )
| spl2_4 ),
inference(negative_extensionality,[status(thm)],[f146]) ).
thf(f146,plain,
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) )
| spl2_4 ),
inference(avatar_component_clause,[status(thm)],[f144]) ).
thf(f56,plain,
! [X0: qML_i] :
( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y1 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ X0 )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f54]) ).
thf(f54,plain,
! [X0: qML_i] :
( $true
= ( inconsistency_P
@ ^ [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] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y6: qML_mu > qML_i > $o] :
( ( Y6 @ Y4 @ Y5 )
=> ( !! @ qML_i
@ ^ [Y7: qML_i] :
( ( qML_r @ Y5 @ Y7 )
=> ( !! @ qML_mu
@ ^ [Y8: qML_mu] :
( ( Y3 @ Y8 @ Y7 )
=> ( Y6 @ Y8 @ Y7 ) ) ) ) ) ) )
@ Y2
@ Y0
@ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ X0 ) ),
inference(definition_unfolding,[status(thm)],[f44,f53]) ).
thf(f53,plain,
( incons1905966852QML_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] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y6: qML_mu > qML_i > $o] :
( ( Y6 @ Y4 @ Y5 )
=> ( !! @ qML_i
@ ^ [Y7: qML_i] :
( ( qML_r @ Y5 @ Y7 )
=> ( !! @ qML_mu
@ ^ [Y8: qML_mu] :
( ( Y3 @ Y8 @ Y7 )
=> ( Y6 @ Y8 @ Y7 ) ) ) ) ) ) )
@ Y2
@ Y0
@ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[status(thm)],[f43,f42]) ).
thf(f42,plain,
( incons1389517216QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y2 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
thf(f26,plain,
( incons1389517216QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y2 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f25]) ).
thf(f25,plain,
( ( ^ [X0: qML_mu > qML_i > $o,X1: qML_mu,X2: qML_i] :
! [X3: qML_mu > qML_i > $o] :
( ( X3 @ X1 @ X2 )
=> ! [X4: qML_i] :
( ( qML_r @ X2 @ X4 )
=> ! [X5: qML_mu] :
( ( X0 @ X5 @ X4 )
=> ( X3 @ X5 @ X4 ) ) ) ) )
= incons1389517216QML_mu ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,axiom,
( ( ^ [X12: qML_mu > qML_i > $o,X9: qML_mu,X10: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( X2 @ X9 @ X10 )
=> ! [X11: qML_i] :
( ( qML_r @ X10 @ X11 )
=> ! [X3: qML_mu] :
( ( X12 @ X3 @ X11 )
=> ( X2 @ X3 @ X11 ) ) ) ) )
= incons1389517216QML_mu ),
file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_8_ess__def) ).
thf(f43,plain,
( incons1905966852QML_mu
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ Y2 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f24,plain,
( incons1905966852QML_mu
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ Y2 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f23]) ).
thf(f23,plain,
( incons1905966852QML_mu
= ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ X2 @ X0 @ X1 )
=> ! [X3: qML_i] :
( ( qML_r @ X1 @ X3 )
=> ? [X4: qML_mu] : ( X2 @ X4 @ X3 ) ) ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,axiom,
( incons1905966852QML_mu
= ( ^ [X9: qML_mu,X10: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ X2 @ X9 @ X10 )
=> ! [X11: qML_i] :
( ( qML_r @ X10 @ X11 )
=> ? [X3: qML_mu] : ( X2 @ X3 @ X11 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_7_NE__def) ).
thf(f44,plain,
! [X0: qML_i] :
( ( inconsistency_P @ incons1905966852QML_mu @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
! [X0: qML_i] :
( ( inconsistency_P @ incons1905966852QML_mu @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f15]) ).
thf(f15,plain,
! [X0: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X0 ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,axiom,
! [X7: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X7 ),
file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_5_A5) ).
thf(f2406,plain,
( spl2_26
| spl2_27
| ~ spl2_50 ),
inference(avatar_split_clause,[status(thm)],[f2397,f2251,f1158,f1155]) ).
thf(f1155,definition,
( spl2_26
<=> ! [X1: qML_mu > qML_i > $o] :
( $true
!= ( inconsistency_P @ X1 @ sK47 ) ) ),
introduced(definition,[new_symbols(naming,[spl2_26])],[avatar_definition]) ).
thf(f1158,definition,
( spl2_27
<=> ! [X0: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X0 @ sK47 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl2_27])],[avatar_definition]) ).
thf(f2397,plain,
( ! [X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X0 @ sK47 )
= $true )
| ( $true
!= ( inconsistency_P @ X1 @ sK47 ) ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[status(thm)],[f2392]) ).
thf(f2392,plain,
( ! [X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X0 @ sK47 )
= $true )
| ( $true
!= ( inconsistency_P @ X1 @ sK47 ) )
| ( $true != $true )
| ( $false = $true ) )
| ~ spl2_50 ),
inference(superposition,[status(thm)],[f2252,f47]) ).
thf(f47,plain,
! [X2: qML_i,X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o] :
( ( ( qML_r @ X2 @ ( sK0 @ X2 @ X1 @ X0 ) )
= $true )
| ( $true
!= ( inconsistency_P @ X0 @ X2 ) )
| ( ( inconsistency_P @ X1 @ X2 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
thf(f41,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o,X2: qML_i] :
( ( ( inconsistency_P @ X1 @ X2 )
= $true )
| ( ( $true
!= ( X1 @ ( sK1 @ X2 @ X1 @ X0 ) @ ( sK0 @ X2 @ X1 @ X0 ) ) )
& ( ( X0 @ ( sK1 @ X2 @ X1 @ X0 ) @ ( sK0 @ X2 @ X1 @ X0 ) )
= $true )
& ( ( qML_r @ X2 @ ( sK0 @ X2 @ X1 @ X0 ) )
= $true ) )
| ( $true
!= ( inconsistency_P @ X0 @ X2 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f36,f40,f39]) ).
thf(f39,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o,X2: qML_i] :
( ? [X3: qML_i] :
( ? [X4: qML_mu] :
( ( ( X1 @ X4 @ X3 )
!= $true )
& ( ( X0 @ X4 @ X3 )
= $true ) )
& ( ( qML_r @ X2 @ X3 )
= $true ) )
=> ( ? [X4: qML_mu] :
( ( ( X1 @ X4 @ ( sK0 @ X2 @ X1 @ X0 ) )
!= $true )
& ( ( X0 @ X4 @ ( sK0 @ X2 @ X1 @ X0 ) )
= $true ) )
& ( ( qML_r @ X2 @ ( sK0 @ X2 @ X1 @ X0 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f40,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o,X2: qML_i] :
( ? [X4: qML_mu] :
( ( ( X1 @ X4 @ ( sK0 @ X2 @ X1 @ X0 ) )
!= $true )
& ( ( X0 @ X4 @ ( sK0 @ X2 @ X1 @ X0 ) )
= $true ) )
=> ( ( $true
!= ( X1 @ ( sK1 @ X2 @ X1 @ X0 ) @ ( sK0 @ X2 @ X1 @ X0 ) ) )
& ( ( X0 @ ( sK1 @ X2 @ X1 @ X0 ) @ ( sK0 @ X2 @ X1 @ X0 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f36,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o,X2: qML_i] :
( ( ( inconsistency_P @ X1 @ X2 )
= $true )
| ? [X3: qML_i] :
( ? [X4: qML_mu] :
( ( ( X1 @ X4 @ X3 )
!= $true )
& ( ( X0 @ X4 @ X3 )
= $true ) )
& ( ( qML_r @ X2 @ X3 )
= $true ) )
| ( $true
!= ( inconsistency_P @ X0 @ X2 ) ) ),
inference(flattening,[status(thm)],[f35]) ).
thf(f35,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o,X2: qML_i] :
( ( ( inconsistency_P @ X1 @ X2 )
= $true )
| ? [X3: qML_i] :
( ? [X4: qML_mu] :
( ( ( X1 @ X4 @ X3 )
!= $true )
& ( ( X0 @ X4 @ X3 )
= $true ) )
& ( ( qML_r @ X2 @ X3 )
= $true ) )
| ( $true
!= ( inconsistency_P @ X0 @ X2 ) ) ),
inference(ennf_transformation,[status(thm)],[f30]) ).
thf(f30,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o,X2: qML_i] :
( ( ! [X3: qML_i] :
( ( ( qML_r @ X2 @ X3 )
= $true )
=> ! [X4: qML_mu] :
( ( ( X0 @ X4 @ X3 )
= $true )
=> ( ( X1 @ X4 @ X3 )
= $true ) ) )
& ( $true
= ( inconsistency_P @ X0 @ X2 ) ) )
=> ( ( inconsistency_P @ X1 @ X2 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f29]) ).
thf(f29,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o,X2: qML_i] :
( ( ! [X3: qML_i] :
( ( qML_r @ X2 @ X3 )
=> ! [X4: qML_mu] :
( ( X0 @ X4 @ X3 )
=> ( X1 @ X4 @ X3 ) ) )
& ( inconsistency_P @ X0 @ X2 ) )
=> ( inconsistency_P @ X1 @ X2 ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
! [X1: qML_mu > qML_i > $o,X4: qML_mu > qML_i > $o,X0: qML_i] :
( ( ! [X5: qML_i] :
( ( qML_r @ X0 @ X5 )
=> ! [X6: qML_mu] :
( ( X1 @ X6 @ X5 )
=> ( X4 @ X6 @ X5 ) ) )
& ( inconsistency_P @ X1 @ X0 ) )
=> ( inconsistency_P @ X4 @ X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_2_A2) ).
thf(f2252,plain,
( ! [X0: qML_i] :
( ( $false
= ( qML_r @ sK47 @ X0 ) )
| ( $true
!= ( qML_r @ sK47 @ X0 ) ) )
| ~ spl2_50 ),
inference(avatar_component_clause,[status(thm)],[f2251]) ).
thf(f2244,plain,
~ spl2_27,
inference(avatar_contradiction_clause,[status(thm)],[f2243]) ).
thf(f2243,plain,
( $false
| ~ spl2_27 ),
inference(subsumption_resolution,[status(thm)],[f2223,f1159]) ).
thf(f1159,plain,
( ! [X0: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X0 @ sK47 )
= $true )
| ~ spl2_27 ),
inference(avatar_component_clause,[status(thm)],[f1158]) ).
thf(f2223,plain,
( ! [X0: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X0 @ sK47 )
!= $true )
| ~ spl2_27 ),
inference(trivial_inequality_removal,[status(thm)],[f2208]) ).
thf(f2208,plain,
( ! [X0: qML_mu > qML_i > $o] :
( ( $true != $true )
| ( ( inconsistency_P @ X0 @ sK47 )
!= $true ) )
| ~ spl2_27 ),
inference(superposition,[status(thm)],[f45,f1159]) ).
thf(f45,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $true
!= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X1 @ Y0 @ Y1 )
@ X0 ) )
| ( ( inconsistency_P @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
thf(f34,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X1 @ X0 )
!= $true )
| ( $true
!= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X1 @ Y0 @ Y1 )
@ X0 ) ) ),
inference(ennf_transformation,[status(thm)],[f32]) ).
thf(f32,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X1 @ Y0 @ Y1 )
@ X0 ) )
=> ( ( inconsistency_P @ X1 @ X0 )
!= $true ) ),
inference(flattening,[status(thm)],[f22]) ).
thf(f22,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X1 @ Y0 @ Y1 )
@ X0 ) )
=> ( ( inconsistency_P @ X1 @ X0 )
!= $true ) ),
inference(fool_elimination,[status(thm)],[f21]) ).
thf(f21,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( inconsistency_P
@ ^ [X2: qML_mu,X3: qML_i] :
~ ( X1 @ X2 @ X3 )
@ X0 )
=> ~ ( inconsistency_P @ X1 @ X0 ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( inconsistency_P
@ ^ [X2: qML_mu,X3: qML_i] :
~ ( X1 @ X2 @ X3 )
@ X0 )
=> ~ ( inconsistency_P @ X1 @ X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_0_A1a) ).
thf(f1867,plain,
~ spl2_26,
inference(avatar_contradiction_clause,[status(thm)],[f1866]) ).
thf(f1866,plain,
( $false
| ~ spl2_26 ),
inference(subsumption_resolution,[status(thm)],[f1858,f1156]) ).
thf(f1156,plain,
( ! [X1: qML_mu > qML_i > $o] :
( $true
!= ( inconsistency_P @ X1 @ sK47 ) )
| ~ spl2_26 ),
inference(avatar_component_clause,[status(thm)],[f1155]) ).
thf(f1858,plain,
( ! [X0: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X0 @ sK47 )
= $true )
| ~ spl2_26 ),
inference(trivial_inequality_removal,[status(thm)],[f1852]) ).
thf(f1852,plain,
( ! [X0: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X0 @ sK47 )
= $true )
| ( $true != $true ) )
| ~ spl2_26 ),
inference(superposition,[status(thm)],[f1156,f51]) ).
thf(f51,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
thf(f37,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X0 @ X1 )
= $true )
| ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f31]) ).
thf(f31,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X0 @ X1 )
!= $true )
=> ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ X1 ) ) ),
inference(flattening,[status(thm)],[f18]) ).
thf(f18,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X0 @ X1 )
!= $true )
=> ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ X1 ) ) ),
inference(fool_elimination,[status(thm)],[f17]) ).
thf(f17,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ~ ( inconsistency_P @ X0 @ X1 )
=> ( inconsistency_P
@ ^ [X2: qML_mu,X3: qML_i] :
~ ( X0 @ X2 @ X3 )
@ X1 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X1: qML_mu > qML_i > $o,X0: qML_i] :
( ~ ( inconsistency_P @ X1 @ X0 )
=> ( inconsistency_P
@ ^ [X2: qML_mu,X3: qML_i] :
~ ( X1 @ X2 @ X3 )
@ X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_1_A1b) ).
thf(f752,plain,
~ spl2_4,
inference(avatar_split_clause,[status(thm)],[f299,f144]) ).
thf(f299,plain,
( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f296]) ).
thf(f296,plain,
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) )
| ( $true != $true ) ),
inference(constrained_superposition,[status(thm)],[f284,f55]) ).
thf(f55,plain,
! [X0: qML_i] :
( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X0 )
= $true ),
inference(definition_unfolding,[status(thm)],[f52,f50]) ).
thf(f50,plain,
( inconsistency_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f20,plain,
( inconsistency_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f19]) ).
thf(f19,plain,
( inconsistency_G
= ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X2 @ X1 )
=> ( X2 @ X0 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,axiom,
( inconsistency_G
= ( ^ [X9: qML_mu,X10: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X2 @ X10 )
=> ( X2 @ X9 @ X10 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_6_G__def) ).
thf(f52,plain,
! [X0: qML_i] :
( ( inconsistency_P @ inconsistency_G @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
! [X0: qML_i] :
( ( inconsistency_P @ inconsistency_G @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f13]) ).
thf(f13,plain,
! [X0: qML_i] : ( inconsistency_P @ inconsistency_G @ X0 ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
! [X7: qML_i] : ( inconsistency_P @ inconsistency_G @ X7 ),
file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_3_A3) ).
thf(f284,plain,
! [X1: qML_i] :
( $true
!= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 ) ),
inference(trivial_inequality_removal,[status(thm)],[f283]) ).
thf(f283,plain,
! [X1: qML_i] :
( ( $true
!= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 ) )
| ( $false = $true ) ),
inference(beta_eta_normalization,[status(thm)],[f269]) ).
thf(f269,plain,
! [X1: qML_i] :
( ( $true
!= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 ) )
| ( ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ ( sK12
@ ^ [Y0: qML_mu,Y1: qML_i] : $false )
@ ( sK13
@ ^ [Y0: qML_mu,Y1: qML_i] : $false ) )
= $true ) ),
inference(primitive_instantiation,[status(thm)],[f238]) ).
thf(f238,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( X0 @ ( sK12 @ X0 ) @ ( sK13 @ X0 ) ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f237]) ).
thf(f237,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( ( ~ ( X0 @ ( sK12 @ X0 ) @ ( sK13 @ X0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f236]) ).
thf(f236,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ^ [Y0: qML_i] :
~ ( X0 @ ( sK12 @ X0 ) @ Y0 )
@ ( sK13 @ X0 ) )
!= ( ^ [Y0: qML_i] : $true
@ ( sK13 @ X0 ) ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(negative_extensionality,[status(thm)],[f235]) ).
thf(f235,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ^ [Y0: qML_i] :
~ ( X0 @ ( sK12 @ X0 ) @ Y0 ) )
!= ( ^ [Y0: qML_i] : $true ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f234]) ).
thf(f234,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ ( sK12 @ X0 ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $true
@ ( sK12 @ X0 ) ) ) ),
inference(negative_extensionality,[status(thm)],[f232]) ).
thf(f232,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ^ [Y0: qML_mu,Y1: qML_i] : $true )
!= ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 ) ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f218]) ).
thf(f218,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true != $true )
| ( ( ^ [Y0: qML_mu,Y1: qML_i] : $true )
!= ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 ) ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(constrained_superposition,[status(thm)],[f45,f217]) ).
thf(f217,plain,
! [X1: qML_i] :
( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1 ) ),
inference(subsumption_resolution,[status(thm)],[f208,f117]) ).
thf(f117,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(equality_resolution,[status(thm)],[f49]) ).
thf(f49,plain,
! [X2: qML_i,X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o] :
( ( $true
!= ( X1 @ ( sK1 @ X2 @ X1 @ X0 ) @ ( sK0 @ X2 @ X1 @ X0 ) ) )
| ( $true
!= ( inconsistency_P @ X0 @ X2 ) )
| ( ( inconsistency_P @ X1 @ X2 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
thf(f208,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X2 @ X1 )
= $true )
| ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f207]) ).
thf(f207,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X2 @ X1 )
= $true )
| ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1 ) )
| ( $false = $true ) ),
inference(beta_eta_normalization,[status(thm)],[f193]) ).
thf(f193,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1 ) )
| ( $false
= ( ^ [Y0: qML_mu,Y1: qML_i] : $true
@ ( sK10
@ ^ [Y0: qML_mu,Y1: qML_i] : $true )
@ ( sK11
@ ^ [Y0: qML_mu,Y1: qML_i] : $true ) ) )
| ( ( inconsistency_P @ X2 @ X1 )
= $true ) ),
inference(primitive_instantiation,[status(thm)],[f192]) ).
thf(f192,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $false
= ( X0 @ ( sK10 @ X0 ) @ ( sK11 @ X0 ) ) )
| ( ( inconsistency_P @ X2 @ X1 )
= $true )
| ( ( inconsistency_P @ X0 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f191]) ).
thf(f191,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ~ ( X0 @ ( sK10 @ X0 ) @ ( sK11 @ X0 ) ) )
!= $false )
| ( ( inconsistency_P @ X2 @ X1 )
= $true )
| ( ( inconsistency_P @ X0 @ X1 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f190]) ).
thf(f190,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X2 @ X1 )
= $true )
| ( ( inconsistency_P @ X0 @ X1 )
= $true )
| ( ( ^ [Y0: qML_i] : $false
@ ( sK11 @ X0 ) )
!= ( ^ [Y0: qML_i] :
~ ( X0 @ ( sK10 @ X0 ) @ Y0 )
@ ( sK11 @ X0 ) ) ) ),
inference(negative_extensionality,[status(thm)],[f189]) ).
thf(f189,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ^ [Y0: qML_i] : $false )
!= ( ^ [Y0: qML_i] :
~ ( X0 @ ( sK10 @ X0 ) @ Y0 ) ) )
| ( ( inconsistency_P @ X0 @ X1 )
= $true )
| ( ( inconsistency_P @ X2 @ X1 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f188]) ).
thf(f188,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X0 @ X1 )
= $true )
| ( ( inconsistency_P @ X2 @ X1 )
= $true )
| ( ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ ( sK10 @ X0 ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ ( sK10 @ X0 ) ) ) ),
inference(negative_extensionality,[status(thm)],[f137]) ).
thf(f137,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) )
| ( ( inconsistency_P @ X0 @ X1 )
= $true )
| ( ( inconsistency_P @ X2 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f136]) ).
thf(f136,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X2 @ X1 )
= $true )
| ( $true != $true )
| ( ( inconsistency_P @ X0 @ X1 )
= $true )
| ( ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) ) ),
inference(constrained_superposition,[status(thm)],[f109,f51]) ).
thf(f109,plain,
! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X2 )
!= $true )
| ( ( inconsistency_P @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f108]) ).
thf(f108,plain,
! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X1 @ X2 )
= $true )
| ( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X2 )
!= $true )
| ( $false = $true ) ),
inference(beta_eta_normalization,[status(thm)],[f102]) ).
thf(f102,plain,
! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X2 )
!= $true )
| ( ( inconsistency_P @ X1 @ X2 )
= $true )
| ( ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ ( sK1 @ X2 @ X1
@ ^ [Y0: qML_mu,Y1: qML_i] : $false )
@ ( sK0 @ X2 @ X1
@ ^ [Y0: qML_mu,Y1: qML_i] : $false ) )
= $true ) ),
inference(primitive_instantiation,[status(thm)],[f48]) ).
thf(f48,plain,
! [X2: qML_i,X0: qML_mu > qML_i > $o,X1: qML_mu > qML_i > $o] :
( ( ( X0 @ ( sK1 @ X2 @ X1 @ X0 ) @ ( sK0 @ X2 @ X1 @ X0 ) )
= $true )
| ( ( inconsistency_P @ X1 @ X2 )
= $true )
| ( $true
!= ( inconsistency_P @ X0 @ X2 ) ) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PHI007^5 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n021.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 11:25:08 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.45 ---- Original DTF file ---
% 0.29/0.45 thf(spec,logic,$$dhol).
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % File : PHI007^5 : TPTP v9.2.1. Released v6.4.0.
% 0.29/0.45 % Domain : Philosophy
% 0.29/0.45 % Problem : Inconsistency of the axioms in Goedel's original manuscript
% 0.29/0.45 % Version : [Ben16] axioms : Biased > Reduced > Biased.
% 0.29/0.45 % English : Scott's variant without the conjunct in the definition of essence.
% 0.29/0.45
% 0.29/0.45 % Refs : [Ben16] Benzmueller (2016), Email to Geoff Sutcliffe
% 0.29/0.45 % Source : [Ben16]
% 0.29/0.45 % Names : Sledgehammer_Inconsistency_S5U_direct_satallax.p [Ben16]
% 0.29/0.45
% 0.29/0.45 % Status : ContradictoryAxioms
% 0.29/0.45 % Rating : 0.44 v9.1.0, 0.38 v9.0.0, 0.40 v8.2.0, 0.69 v8.1.0, 0.73 v7.5.0, 0.57 v7.4.0, 0.67 v7.2.0, 0.62 v7.1.0, 0.75 v7.0.0, 0.71 v6.4.0
% 0.29/0.45 % Syntax : Number of formulae : 17 ( 4 unt; 7 typ; 0 def)
% 0.29/0.45 % Number of atoms : 25 ( 3 equ; 0 cnn)
% 0.29/0.45 % Maximal formula atoms : 3 ( 2 avg)
% 0.29/0.45 % Number of connectives : 69 ( 4 ~; 0 |; 1 &; 51 @)
% 0.29/0.45 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.29/0.45 % Maximal formula depth : 12 ( 5 avg)
% 0.29/0.45 % Number of types : 3 ( 2 usr)
% 0.29/0.45 % Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% 0.29/0.45 % Number of symbols : 7 ( 5 usr; 1 con; 0-3 aty)
% 0.29/0.45 % Number of variables : 32 ( 11 ^; 20 !; 1 ?; 32 :)
% 0.29/0.45 % SPC : TH0_CAX_EQU_NAR
% 0.29/0.45
% 0.29/0.45 % Comments : This problem file has been generated by Sledgehammer (satallax
% 0.29/0.45 % translation) in default setting.
% 0.29/0.45 % : The $false conjecture makes this correspond to the Isabelle
% 0.29/0.45 % sources. Otherwise it could be omitted and the status would be
% 0.29/0.45 % Unsatisfiable.
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 %----Could-be-implicit typings (2)
% 0.29/0.45 thf(ty_n_t__QML____S5__O__092__060mu__062,type,
% 0.29/0.45 qML_mu: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(ty_n_t__QML____S5__Oi,type,
% 0.29/0.45 qML_i: $tType ).
% 0.29/0.45
% 0.29/0.45 %----Explicit typings (5)
% 0.29/0.45 thf(sy_c_Inconsistency__S5_OG,type,
% 0.29/0.45 inconsistency_G: qML_mu > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Inconsistency__S5_ONE_001t__QML____S5__O__092__060mu__062,type,
% 0.29/0.45 incons1905966852QML_mu: qML_mu > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Inconsistency__S5_OP,type,
% 0.29/0.45 inconsistency_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Inconsistency__S5_Oess_001t__QML____S5__O__092__060mu__062,type,
% 0.29/0.45 incons1389517216QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_QML__S5_Or,type,
% 0.29/0.45 qML_r: qML_i > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 %----Relevant facts (9)
% 0.29/0.45 thf(fact_0_A1a,axiom,
% 0.29/0.45 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( inconsistency_P
% 0.29/0.45 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.29/0.45 ~ ( X @ Y @ Z )
% 0.29/0.45 @ W )
% 0.29/0.45 => ~ ( inconsistency_P @ X @ W ) ) ).
% 0.29/0.45
% 0.29/0.45 % A1a
% 0.29/0.45 thf(fact_1_A1b,axiom,
% 0.29/0.45 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ~ ( inconsistency_P @ X @ W )
% 0.29/0.45 => ( inconsistency_P
% 0.29/0.45 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.29/0.45 ~ ( X @ Y @ Z )
% 0.29/0.45 @ W ) ) ).
% 0.29/0.45
% 0.29/0.45 % A1b
% 0.29/0.45 thf(fact_2_A2,axiom,
% 0.29/0.45 ! [W: qML_i,X: qML_mu > qML_i > $o,Xa: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( ( inconsistency_P @ X @ W )
% 0.29/0.45 & ! [V: qML_i] :
% 0.29/0.45 ( ( qML_r @ W @ V )
% 0.29/0.45 => ! [Xb: qML_mu] :
% 0.29/0.45 ( ( X @ Xb @ V )
% 0.29/0.45 => ( Xa @ Xb @ V ) ) ) )
% 0.29/0.45 => ( inconsistency_P @ Xa @ W ) ) ).
% 0.29/0.45
% 0.29/0.45 % A2
% 0.29/0.45 thf(fact_3_A3,axiom,
% 0.29/0.45 ! [X_1: qML_i] : ( inconsistency_P @ inconsistency_G @ X_1 ) ).
% 0.29/0.45
% 0.29/0.45 % A3
% 0.29/0.45 thf(fact_4_A4,axiom,
% 0.29/0.45 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( inconsistency_P @ X @ W )
% 0.29/0.45 => ! [V2: qML_i] :
% 0.29/0.45 ( ( qML_r @ W @ V2 )
% 0.29/0.45 => ( inconsistency_P @ X @ V2 ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % A4
% 0.29/0.45 thf(fact_5_A5,axiom,
% 0.29/0.45 ! [X_1: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X_1 ) ).
% 0.29/0.45
% 0.29/0.45 % A5
% 0.29/0.45 thf(fact_6_G__def,axiom,
% 0.29/0.45 ( inconsistency_G
% 0.29/0.45 = ( ^ [X2: qML_mu,W2: qML_i] :
% 0.29/0.45 ! [Y: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( inconsistency_P @ Y @ W2 )
% 0.29/0.45 => ( Y @ X2 @ W2 ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % G_def
% 0.29/0.45 thf(fact_7_NE__def,axiom,
% 0.29/0.45 ( incons1905966852QML_mu
% 0.29/0.45 = ( ^ [X2: qML_mu,W2: qML_i] :
% 0.29/0.45 ! [Y: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( incons1389517216QML_mu @ Y @ X2 @ W2 )
% 0.29/0.45 => ! [V3: qML_i] :
% 0.29/0.45 ( ( qML_r @ W2 @ V3 )
% 0.29/0.45 => ? [Z: qML_mu] : ( Y @ Z @ V3 ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % NE_def
% 0.29/0.45 thf(fact_8_ess__def,axiom,
% 0.29/0.45 ( incons1389517216QML_mu
% 0.29/0.45 = ( ^ [Phi: qML_mu > qML_i > $o,X2: qML_mu,W2: qML_i] :
% 0.29/0.45 ! [Y: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( Y @ X2 @ W2 )
% 0.29/0.45 => ! [V3: qML_i] :
% 0.29/0.45 ( ( qML_r @ W2 @ V3 )
% 0.29/0.45 => ! [Z: qML_mu] :
% 0.29/0.45 ( ( Phi @ Z @ V3 )
% 0.29/0.45 => ( Y @ Z @ V3 ) ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % ess_def
% 0.29/0.45
% 0.29/0.45 %----Conjectures (1)
% 0.29/0.45 thf(conj_0,conjecture,
% 0.29/0.45 $false ).
% 0.29/0.45 ------------------------
% 1.54/1.28 ---- Embedded in THF ---
% 1.54/1.28 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.54/1.28 %%% Generated on Tue Feb 24 11:25:09 EST 2026
% 1.54/1.28 %%% using '$$dhol' embedding, version 1.3.0.
% 1.54/1.28 %%% Logic specification used:
% 1.54/1.28 %%% thf(spec, logic, $$dhol).
% 1.54/1.28
% 1.54/1.28 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2DTF21001.p
% See solution above
% 1.54/1.28 ------------------------
% 1.54/1.29 ---- Cleaned THF ---
% 1.54/1.29 thf(ty_n_t__QML____S5__O__092__060mu__062,type,
% 1.54/1.29 qML_mu: $tType ).
% 1.54/1.29
% 1.54/1.29 thf(ty_n_t__QML____S5__Oi,type,
% 1.54/1.29 qML_i: $tType ).
% 1.54/1.29
% 1.54/1.29 thf(sy_c_Inconsistency__S5_OG,type,
% 1.54/1.29 inconsistency_G: qML_mu > qML_i > $o ).
% 1.54/1.29
% 1.54/1.29 thf(sy_c_Inconsistency__S5_ONE_001t__QML____S5__O__092__060mu__062,type,
% 1.54/1.29 incons1905966852QML_mu: qML_mu > qML_i > $o ).
% 1.54/1.29
% 1.54/1.29 thf(sy_c_Inconsistency__S5_OP,type,
% 1.54/1.29 inconsistency_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
% 1.54/1.29
% 1.54/1.29 thf(sy_c_Inconsistency__S5_Oess_001t__QML____S5__O__092__060mu__062,type,
% 1.54/1.29 incons1389517216QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
% 1.54/1.29
% 1.54/1.29 thf(sy_c_QML__S5_Or,type,
% 1.54/1.29 qML_r: qML_i > qML_i > $o ).
% 1.54/1.29
% 1.54/1.29 thf(fact_0_A1a,axiom,
% 1.54/1.29 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 1.54/1.29 ( ( inconsistency_P
% 1.54/1.29 @ ^ [Y: qML_mu,Z: qML_i] :
% 1.54/1.29 ~ ( X @ Y @ Z )
% 1.54/1.29 @ W )
% 1.54/1.29 => ~ ( inconsistency_P @ X @ W ) ) ).
% 1.54/1.29
% 1.54/1.29 thf(fact_1_A1b,axiom,
% 1.54/1.29 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 1.54/1.29 ( ~ ( inconsistency_P @ X @ W )
% 1.54/1.29 => ( inconsistency_P
% 1.54/1.29 @ ^ [Y: qML_mu,Z: qML_i] :
% 1.54/1.29 ~ ( X @ Y @ Z )
% 1.54/1.29 @ W ) ) ).
% 1.54/1.29
% 1.54/1.29 thf(fact_2_A2,axiom,
% 1.54/1.29 ! [W: qML_i,X: qML_mu > qML_i > $o,Xa: qML_mu > qML_i > $o] :
% 1.54/1.29 ( ( ( inconsistency_P @ X @ W )
% 1.54/1.29 & ! [V: qML_i] :
% 1.54/1.29 ( ( qML_r @ W @ V )
% 1.54/1.29 => ! [Xb: qML_mu] :
% 1.54/1.29 ( ( X @ Xb @ V )
% 1.54/1.29 => ( Xa @ Xb @ V ) ) ) )
% 1.54/1.29 => ( inconsistency_P @ Xa @ W ) ) ).
% 1.54/1.29
% 1.54/1.29 thf(fact_3_A3,axiom,
% 1.54/1.29 ! [X_1: qML_i] : ( inconsistency_P @ inconsistency_G @ X_1 ) ).
% 1.54/1.29
% 1.54/1.29 thf(fact_4_A4,axiom,
% 1.54/1.29 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 1.54/1.29 ( ( inconsistency_P @ X @ W )
% 1.54/1.29 => ! [V2: qML_i] :
% 1.54/1.29 ( ( qML_r @ W @ V2 )
% 1.54/1.29 => ( inconsistency_P @ X @ V2 ) ) ) ).
% 1.54/1.29
% 1.54/1.29 thf(fact_5_A5,axiom,
% 1.54/1.29 ! [X_1: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X_1 ) ).
% 1.54/1.29
% 1.54/1.29 thf(fact_6_G__def,axiom,
% 1.54/1.29 ( inconsistency_G
% 1.54/1.29 = ( ^ [X2: qML_mu,W2: qML_i] :
% 1.54/1.29 ! [Y: qML_mu > qML_i > $o] :
% 1.54/1.29 ( ( inconsistency_P @ Y @ W2 )
% 1.54/1.29 => ( Y @ X2 @ W2 ) ) ) ) ).
% 1.54/1.29
% 1.54/1.29 thf(fact_7_NE__def,axiom,
% 1.54/1.29 ( incons1905966852QML_mu
% 1.54/1.29 = ( ^ [X2: qML_mu,W2: qML_i] :
% 1.54/1.29 ! [Y: qML_mu > qML_i > $o] :
% 1.54/1.29 ( ( incons1389517216QML_mu @ Y @ X2 @ W2 )
% 1.54/1.29 => ! [V3: qML_i] :
% 1.54/1.29 ( ( qML_r @ W2 @ V3 )
% 1.54/1.29 => ? [Z: qML_mu] : ( Y @ Z @ V3 ) ) ) ) ) ).
% 1.54/1.29
% 1.54/1.29 thf(fact_8_ess__def,axiom,
% 1.54/1.29 ( incons1389517216QML_mu
% 1.54/1.29 = ( ^ [Phi: qML_mu > qML_i > $o,X2: qML_mu,W2: qML_i] :
% 1.54/1.29 ! [Y: qML_mu > qML_i > $o] :
% 1.54/1.29 ( ( Y @ X2 @ W2 )
% 1.54/1.29 => ! [V3: qML_i] :
% 1.54/1.29 ( ( qML_r @ W2 @ V3 )
% 1.54/1.29 => ! [Z: qML_mu] :
% 1.54/1.29 ( ( Phi @ Z @ V3 )
% 1.54/1.29 => ( Y @ Z @ V3 ) ) ) ) ) ) ).
% 1.54/1.29
% 1.54/1.29 thf(conj_0,conjecture,
% 1.54/1.29 $false ).
% 1.54/1.29 ------------------------
% 1.73/1.31 % (21116)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_21001 for (2999ds/4Mi)
% 1.73/1.31 % (21116)Instruction limit reached!
% 1.73/1.31 % (21116)------------------------------
% 1.73/1.31 % (21116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (21116)Termination reason: Unknown
% 1.73/1.31 % (21116)Termination phase: Saturation
% 1.73/1.31
% 1.73/1.31 % (21116)Memory used [KB]: 5500
% 1.73/1.31 % (21116)Time elapsed: 0.003 s
% 1.73/1.31 % (21116)Instructions burned: 6 (million)
% 1.73/1.31 % (21116)------------------------------
% 1.73/1.31 % (21116)------------------------------
% 1.73/1.31 % (21121)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/18Mi)
% 1.73/1.31 % (21117)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_21001 for (2999ds/27Mi)
% 1.73/1.31 % (21115)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/183Mi)
% 1.73/1.31 % (21118)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/2Mi)
% 1.73/1.31 % (21119)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_21001 for (2999ds/2Mi)
% 1.73/1.31 % (21120)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_21001 for (2999ds/275Mi)
% 1.73/1.31 % (21118)Instruction limit reached!
% 1.73/1.31 % (21118)------------------------------
% 1.73/1.31 % (21118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (21118)Termination reason: Unknown
% 1.73/1.31 % (21118)Termination phase: shuffling
% 1.73/1.31 % (21119)Instruction limit reached!
% 1.73/1.31 % (21119)------------------------------
% 1.73/1.31 % (21119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (21119)Termination reason: Unknown
% 1.73/1.31 % (21119)Termination phase: shuffling
% 1.73/1.31
% 1.73/1.31 % (21119)Memory used [KB]: 1023
% 1.73/1.31 % (21119)Time elapsed: 0.003 s
% 1.73/1.31 % (21119)Instructions burned: 2 (million)
% 1.73/1.31 % (21119)------------------------------
% 1.73/1.31 % (21119)------------------------------
% 1.73/1.31
% 1.73/1.31 % (21118)Memory used [KB]: 1023
% 1.73/1.31 % (21118)Time elapsed: 0.003 s
% 1.73/1.31 % (21118)Instructions burned: 2 (million)
% 1.73/1.31 % (21118)------------------------------
% 1.73/1.31 % (21118)------------------------------
% 1.73/1.31 % (21121)Instruction limit reached!
% 1.73/1.31 % (21121)------------------------------
% 1.73/1.31 % (21121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (21120)Refutation not found, incomplete strategy
% 1.73/1.31 % (21120)------------------------------
% 1.73/1.31 % (21120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (21121)Termination reason: Unknown
% 1.73/1.31 % (21121)Termination phase: Saturation
% 1.73/1.31
% 1.73/1.31 % (21121)Memory used [KB]: 5628
% 1.73/1.31 % (21121)Time elapsed: 0.008 s
% 1.73/1.31 % (21121)Instructions burned: 20 (million)
% 1.73/1.31 % (21121)------------------------------
% 1.73/1.31 % (21121)------------------------------
% 1.73/1.31 % (21120)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.31
% 1.73/1.32
% 1.73/1.32 % (21120)Memory used [KB]: 5500
% 1.73/1.32 % (21120)Time elapsed: 0.003 s
% 1.73/1.32 % (21120)Instructions burned: 3 (million)
% 1.73/1.32 % (21120)------------------------------
% 1.73/1.32 % (21120)------------------------------
% 1.73/1.32 % (21122)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/3Mi)
% 1.73/1.32 % (21122)Instruction limit reached!
% 1.73/1.32 % (21122)------------------------------
% 1.73/1.32 % (21122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.32 % (21122)Termination reason: Unknown
% 1.73/1.32 % (21122)Termination phase: Property scanning
% 1.73/1.32
% 1.73/1.32 % (21122)Memory used [KB]: 1023
% 1.73/1.32 % (21122)Time elapsed: 0.003 s
% 1.73/1.32 % (21122)Instructions burned: 4 (million)
% 1.73/1.32 % (21122)------------------------------
% 1.73/1.32 % (21122)------------------------------
% 1.73/1.32 % (21117)Instruction limit reached!
% 1.73/1.32 % (21117)------------------------------
% 1.73/1.32 % (21117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.32 % (21117)Termination reason: Unknown
% 1.73/1.32 % (21117)Termination phase: Saturation
% 1.73/1.32
% 1.73/1.32 % (21117)Memory used [KB]: 5628
% 1.73/1.32 % (21117)Time elapsed: 0.016 s
% 1.73/1.32 % (21117)Instructions burned: 29 (million)
% 1.73/1.32 % (21117)------------------------------
% 1.73/1.32 % (21117)------------------------------
% 1.73/1.33 % (21127)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/7Mi)
% 1.73/1.33 % (21123)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_21001 for (2999ds/37Mi)
% 1.73/1.33 % (21127)Instruction limit reached!
% 1.73/1.33 % (21127)------------------------------
% 1.73/1.33 % (21127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.33 % (21127)Termination reason: Unknown
% 1.73/1.33 % (21127)Termination phase: Saturation
% 1.73/1.33
% 1.73/1.33 % (21127)Memory used [KB]: 1023
% 1.73/1.33 % (21127)Time elapsed: 0.004 s
% 1.73/1.33 % (21127)Instructions burned: 7 (million)
% 1.73/1.33 % (21127)------------------------------
% 1.73/1.33 % (21127)------------------------------
% 1.73/1.33 % (21125)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_21001 for (2999ds/3Mi)
% 1.73/1.33 % (21124)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_21001 for (2999ds/15Mi)
% 1.73/1.33 % (21126)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_21001 for (2999ds/1041Mi)
% 1.73/1.33 % (21125)Instruction limit reached!
% 1.73/1.33 % (21125)------------------------------
% 1.73/1.33 % (21125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.33 % (21125)Termination reason: Unknown
% 1.73/1.33 % (21125)Termination phase: Saturation
% 1.73/1.33
% 1.73/1.33 % (21125)Memory used [KB]: 1023
% 1.73/1.33 % (21125)Time elapsed: 0.004 s
% 1.73/1.33 % (21125)Instructions burned: 4 (million)
% 1.73/1.33 % (21125)------------------------------
% 1.73/1.33 % (21125)------------------------------
% 1.73/1.33 % (21124)Refutation not found, incomplete strategy
% 1.73/1.33 % (21124)------------------------------
% 1.73/1.33 % (21124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.33 % (21124)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.33
% 1.73/1.33
% 1.73/1.33 % (21124)Memory used [KB]: 5500
% 1.73/1.33 % (21124)Time elapsed: 0.005 s
% 1.73/1.33 % (21124)Instructions burned: 5 (million)
% 1.73/1.33 % (21124)------------------------------
% 1.73/1.33 % (21124)------------------------------
% 1.73/1.34 % (21128)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/16Mi)
% 1.73/1.34 % (21128)Instruction limit reached!
% 1.73/1.34 % (21128)------------------------------
% 1.73/1.34 % (21128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.34 % (21128)Termination reason: Unknown
% 1.73/1.34 % (21128)Termination phase: Saturation
% 1.73/1.34
% 1.73/1.34 % (21128)Memory used [KB]: 5628
% 1.73/1.34 % (21128)Time elapsed: 0.007 s
% 1.73/1.34 % (21128)Instructions burned: 16 (million)
% 1.73/1.34 % (21128)------------------------------
% 1.73/1.34 % (21128)------------------------------
% 1.73/1.34 % (21129)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_21001 for (2999ds/3Mi)
% 1.73/1.34 % (21129)Instruction limit reached!
% 1.73/1.34 % (21129)------------------------------
% 1.73/1.34 % (21129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.34 % (21129)Termination reason: Unknown
% 1.73/1.34 % (21129)Termination phase: Property scanning
% 1.73/1.34
% 1.73/1.34 % (21129)Memory used [KB]: 1023
% 1.73/1.34 % (21129)Time elapsed: 0.003 s
% 1.73/1.34 % (21129)Instructions burned: 4 (million)
% 1.73/1.34 % (21129)------------------------------
% 1.73/1.34 % (21129)------------------------------
% 1.73/1.34 % (21130)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_21001 for (2999ds/3Mi)
% 1.73/1.34 % (21130)Instruction limit reached!
% 1.73/1.34 % (21130)------------------------------
% 1.73/1.34 % (21130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.34 % (21130)Termination reason: Unknown
% 1.73/1.34 % (21130)Termination phase: Function definition elimination
% 1.73/1.34
% 1.73/1.34 % (21130)Memory used [KB]: 1023
% 1.73/1.34 % (21130)Time elapsed: 0.003 s
% 1.73/1.34 % (21130)Instructions burned: 4 (million)
% 1.73/1.34 % (21130)------------------------------
% 1.73/1.34 % (21130)------------------------------
% 1.73/1.35 % (21132)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/3Mi)
% 1.73/1.35 % (21131)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/7Mi)
% 1.73/1.35 % (21123)Instruction limit reached!
% 1.73/1.35 % (21123)------------------------------
% 1.73/1.35 % (21123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.35 % (21123)Termination reason: Unknown
% 1.73/1.35 % (21123)Termination phase: Saturation
% 1.73/1.35
% 1.73/1.35 % (21132)Instruction limit reached!
% 1.73/1.35 % (21132)------------------------------
% 1.73/1.35 % (21132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.35 % (21132)Termination reason: Unknown
% 1.73/1.35 % (21132)Termination phase: Property scanning
% 1.73/1.35
% 1.73/1.35 % (21132)Memory used [KB]: 1023
% 1.73/1.35 % (21132)Time elapsed: 0.003 s
% 1.73/1.35 % (21132)Instructions burned: 5 (million)
% 1.73/1.35 % (21132)------------------------------
% 1.73/1.35 % (21132)------------------------------
% 1.73/1.35 % (21123)Memory used [KB]: 5628
% 1.73/1.35 % (21123)Time elapsed: 0.023 s
% 1.73/1.35 % (21123)Instructions burned: 37 (million)
% 1.73/1.35 % (21123)------------------------------
% 1.73/1.35 % (21123)------------------------------
% 1.73/1.35 % (21133)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/4Mi)
% 1.73/1.35 % (21133)Instruction limit reached!
% 1.73/1.35 % (21133)------------------------------
% 1.73/1.35 % (21133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.35 % (21133)Termination reason: Unknown
% 1.73/1.35 % (21133)Termination phase: Saturation
% 1.73/1.35
% 1.73/1.35 % (21133)Memory used [KB]: 1023
% 1.73/1.35 % (21133)Time elapsed: 0.003 s
% 1.73/1.35 % (21133)Instructions burned: 4 (million)
% 1.73/1.35 % (21133)------------------------------
% 1.73/1.35 % (21133)------------------------------
% 1.73/1.35 % (21134)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/18Mi)
% 1.73/1.35 % (21131)Instruction limit reached!
% 1.73/1.35 % (21131)------------------------------
% 1.73/1.35 % (21131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.35 % (21131)Termination reason: Unknown
% 1.73/1.35 % (21131)Termination phase: Saturation
% 1.73/1.35
% 1.73/1.35 % (21131)Memory used [KB]: 5500
% 1.73/1.35 % (21131)Time elapsed: 0.005 s
% 1.73/1.35 % (21131)Instructions burned: 7 (million)
% 1.73/1.36 % (21131)------------------------------
% 1.73/1.36 % (21131)------------------------------
% 1.73/1.36 % (21134)Instruction limit reached!
% 1.73/1.36 % (21134)------------------------------
% 1.73/1.36 % (21134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.36 % (21134)Termination reason: Unknown
% 1.73/1.36 % (21134)Termination phase: Saturation
% 1.73/1.36
% 1.73/1.36 % (21134)Memory used [KB]: 5628
% 1.73/1.36 % (21134)Time elapsed: 0.008 s
% 1.73/1.36 % (21134)Instructions burned: 18 (million)
% 1.73/1.36 % (21134)------------------------------
% 1.73/1.36 % (21134)------------------------------
% 1.73/1.36 % (21135)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/710Mi)
% 1.73/1.36 % (21135)Refutation not found, incomplete strategy
% 1.73/1.36 % (21135)------------------------------
% 1.73/1.36 % (21135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.36 % (21135)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.36
% 1.73/1.36
% 1.73/1.36 % (21135)Memory used [KB]: 5500
% 1.73/1.36 % (21135)Time elapsed: 0.002 s
% 1.73/1.36 % (21135)Instructions burned: 1 (million)
% 1.73/1.36 % (21135)------------------------------
% 1.73/1.36 % (21135)------------------------------
% 1.73/1.36 % (21137)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_21001 for (2999ds/902Mi)
% 1.73/1.37 % (21137)Refutation not found, incomplete strategy
% 1.73/1.37 % (21137)------------------------------
% 1.73/1.37 % (21137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.37 % (21137)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.37
% 1.73/1.37
% 1.73/1.37 % (21137)Memory used [KB]: 5500
% 1.73/1.37 % (21137)Time elapsed: 0.003 s
% 1.73/1.37 % (21137)Instructions burned: 4 (million)
% 1.73/1.37 % (21137)------------------------------
% 1.73/1.37 % (21137)------------------------------
% 1.73/1.37 % (21138)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_21001 for (2999ds/21Mi)
% 1.73/1.37 % (21138)Refutation not found, incomplete strategy
% 1.73/1.37 % (21138)------------------------------
% 1.73/1.37 % (21138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.37 % (21138)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.37
% 1.73/1.37
% 1.73/1.37 % (21138)Memory used [KB]: 5500
% 1.73/1.37 % (21138)Time elapsed: 0.002 s
% 1.73/1.37 % (21138)Instructions burned: 3 (million)
% 1.73/1.37 % (21138)------------------------------
% 1.73/1.37 % (21138)------------------------------
% 1.73/1.37 % (21136)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/6Mi)
% 1.73/1.37 % (21139)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/5Mi)
% 1.73/1.37 % (21139)Instruction limit reached!
% 1.73/1.37 % (21139)------------------------------
% 1.73/1.37 % (21139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.37 % (21139)Termination reason: Unknown
% 1.73/1.37 % (21139)Termination phase: Saturation
% 1.73/1.37
% 1.73/1.37 % (21139)Memory used [KB]: 1023
% 1.73/1.37 % (21139)Time elapsed: 0.003 s
% 1.73/1.37 % (21139)Instructions burned: 5 (million)
% 1.73/1.37 % (21139)------------------------------
% 1.73/1.37 % (21139)------------------------------
% 1.73/1.37 % (21140)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_21001 for (2999ds/6Mi)
% 1.73/1.37 % (21136)Instruction limit reached!
% 1.73/1.37 % (21136)------------------------------
% 1.73/1.37 % (21136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.37 % (21136)Termination reason: Unknown
% 1.73/1.37 % (21136)Termination phase: Saturation
% 1.73/1.37
% 1.73/1.37 % (21136)Memory used [KB]: 5500
% 1.73/1.37 % (21136)Time elapsed: 0.006 s
% 1.73/1.37 % (21136)Instructions burned: 7 (million)
% 1.73/1.37 % (21136)------------------------------
% 1.73/1.37 % (21136)------------------------------
% 1.73/1.38 % (21140)Instruction limit reached!
% 1.73/1.38 % (21140)------------------------------
% 1.73/1.38 % (21140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.38 % (21140)Termination reason: Unknown
% 1.73/1.38 % (21141)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/377Mi)
% 1.73/1.38 % (21140)Termination phase: Saturation
% 1.73/1.38
% 1.73/1.38 % (21140)Memory used [KB]: 5500
% 1.73/1.38 % (21140)Time elapsed: 0.004 s
% 1.73/1.38 % (21140)Instructions burned: 7 (million)
% 1.73/1.38 % (21140)------------------------------
% 1.73/1.38 % (21140)------------------------------
% 1.73/1.38 % (21142)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_21001 for (2999ds/779Mi)
% 1.73/1.38 % (21142)Refutation not found, incomplete strategy
% 1.73/1.38 % (21142)------------------------------
% 1.73/1.38 % (21142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.38 % (21142)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.38
% 1.73/1.38
% 1.73/1.38 % (21142)Memory used [KB]: 5500
% 1.73/1.38 % (21142)Time elapsed: 0.005 s
% 1.73/1.38 % (21142)Instructions burned: 9 (million)
% 1.73/1.38 % (21142)------------------------------
% 1.73/1.38 % (21142)------------------------------
% 1.73/1.38 % (21143)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_21001 for (2999ds/19Mi)
% 1.73/1.38 % (21143)Refutation not found, incomplete strategy
% 1.73/1.38 % (21143)------------------------------
% 1.73/1.38 % (21143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.38 % (21143)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.38
% 1.73/1.38
% 1.73/1.38 % (21143)Memory used [KB]: 5500
% 1.73/1.38 % (21143)Time elapsed: 0.004 s
% 1.73/1.39 % (21143)Instructions burned: 7 (million)
% 1.73/1.39 % (21143)------------------------------
% 1.73/1.39 % (21143)------------------------------
% 1.73/1.39 % (21145)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/17Mi)
% 1.73/1.39 % (21144)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/879Mi)
% 1.73/1.39 % (21146)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/3Mi)
% 1.73/1.39 % (21145)Instruction limit reached!
% 1.73/1.39 % (21145)------------------------------
% 1.73/1.39 % (21145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.39 % (21145)Termination reason: Unknown
% 1.73/1.39 % (21145)Termination phase: Saturation
% 1.73/1.39
% 1.73/1.39 % (21145)Memory used [KB]: 5628
% 1.73/1.39 % (21145)Time elapsed: 0.008 s
% 1.73/1.39 % (21145)Instructions burned: 18 (million)
% 1.73/1.39 % (21145)------------------------------
% 1.73/1.39 % (21145)------------------------------
% 1.73/1.39 % (21144)Refutation not found, incomplete strategy
% 1.73/1.39 % (21144)------------------------------
% 1.73/1.39 % (21144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.39 % (21144)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.39
% 1.73/1.39
% 1.73/1.39 % (21144)Memory used [KB]: 5500
% 1.73/1.39 % (21144)Time elapsed: 0.003 s
% 1.73/1.39 % (21144)Instructions burned: 2 (million)
% 1.73/1.39 % (21144)------------------------------
% 1.73/1.39 % (21144)------------------------------
% 1.73/1.39 % (21146)Instruction limit reached!
% 1.73/1.39 % (21146)------------------------------
% 1.73/1.39 % (21146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.39 % (21146)Termination reason: Unknown
% 1.73/1.39 % (21146)Termination phase: Function definition elimination
% 1.73/1.39
% 1.73/1.39 % (21146)Memory used [KB]: 1023
% 1.73/1.39 % (21146)Time elapsed: 0.003 s
% 1.73/1.39 % (21146)Instructions burned: 4 (million)
% 1.73/1.39 % (21146)------------------------------
% 1.73/1.39 % (21146)------------------------------
% 1.73/1.40 % (21147)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/30Mi)
% 1.73/1.40 % (21148)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/127Mi)
% 1.73/1.40 % (21149)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_21001 for (2999ds/100Mi)
% 1.73/1.41 % (21147)Instruction limit reached!
% 1.73/1.41 % (21147)------------------------------
% 1.73/1.41 % (21147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.41 % (21147)Termination reason: Unknown
% 1.73/1.41 % (21147)Termination phase: Saturation
% 1.73/1.41
% 1.73/1.41 % (21147)Memory used [KB]: 5628
% 1.73/1.41 % (21147)Time elapsed: 0.012 s
% 1.73/1.41 % (21147)Instructions burned: 30 (million)
% 1.73/1.41 % (21147)------------------------------
% 1.73/1.41 % (21147)------------------------------
% 1.73/1.41 % (21115)Instruction limit reached!
% 1.73/1.41 % (21115)------------------------------
% 1.73/1.41 % (21115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.41 % (21115)Termination reason: Unknown
% 1.73/1.41 % (21115)Termination phase: Saturation
% 1.73/1.41
% 1.73/1.41 % (21115)Memory used [KB]: 6780
% 1.73/1.41 % (21115)Time elapsed: 0.098 s
% 1.73/1.41 % (21115)Instructions burned: 184 (million)
% 1.73/1.41 % (21115)------------------------------
% 1.73/1.41 % (21115)------------------------------
% 1.73/1.41 % (21150)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_21001 for (2999ds/3Mi)
% 1.73/1.41 % (21150)Instruction limit reached!
% 1.73/1.41 % (21150)------------------------------
% 1.73/1.41 % (21150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.41 % (21150)Termination reason: Unknown
% 1.73/1.41 % (21150)Termination phase: Property scanning
% 1.73/1.41
% 1.73/1.41 % (21150)Memory used [KB]: 1023
% 1.73/1.41 % (21150)Time elapsed: 0.003 s
% 1.73/1.41 % (21150)Instructions burned: 3 (million)
% 1.73/1.41 % (21150)------------------------------
% 1.73/1.41 % (21150)------------------------------
% 1.73/1.42 % (21151)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_21001 for (2998ds/20Mi)
% 1.73/1.42 % (21151)Refutation not found, incomplete strategy
% 1.73/1.42 % (21151)------------------------------
% 1.73/1.42 % (21151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (21151)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.42
% 1.73/1.42
% 1.73/1.42 % (21151)Memory used [KB]: 5500
% 1.73/1.42 % (21151)Time elapsed: 0.002 s
% 1.73/1.42 % (21151)Instructions burned: 1 (million)
% 1.73/1.42 % (21151)------------------------------
% 1.73/1.42 % (21151)------------------------------
% 1.73/1.42 % (21152)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_21001 for (2998ds/86Mi)
% 1.73/1.42 % (21153)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_21001 for (2998ds/107Mi)
% 1.73/1.42 % (21153)Refutation not found, incomplete strategy
% 1.73/1.42 % (21153)------------------------------
% 1.73/1.42 % (21153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (21153)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.42
% 1.73/1.42
% 1.73/1.42 % (21153)Memory used [KB]: 5500
% 1.73/1.42 % (21153)Time elapsed: 0.002 s
% 1.73/1.42 % (21153)Instructions burned: 3 (million)
% 1.73/1.42 % (21153)------------------------------
% 1.73/1.42 % (21153)------------------------------
% 1.73/1.43 % (21154)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_21001 for (2998ds/39Mi)
% 1.73/1.43 % (21155)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_21001 for (2998ds/448Mi)
% 1.73/1.43 % (21149)Instruction limit reached!
% 1.73/1.43 % (21149)------------------------------
% 1.73/1.43 % (21149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.43 % (21149)Termination reason: Unknown
% 1.73/1.43 % (21149)Termination phase: Saturation
% 1.73/1.43
% 1.73/1.43 % (21149)Memory used [KB]: 5628
% 1.73/1.43 % (21149)Time elapsed: 0.032 s
% 1.73/1.43 % (21149)Instructions burned: 100 (million)
% 1.73/1.43 % (21149)------------------------------
% 1.73/1.43 % (21149)------------------------------
% 1.73/1.44 % (21154)Instruction limit reached!
% 1.73/1.44 % (21154)------------------------------
% 1.73/1.44 % (21154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.44 % (21154)Termination reason: Unknown
% 1.73/1.44 % (21154)Termination phase: Saturation
% 1.73/1.44
% 1.73/1.44 % (21154)Memory used [KB]: 5756
% 1.73/1.44 % (21154)Time elapsed: 0.015 s
% 1.73/1.44 % (21154)Instructions burned: 40 (million)
% 1.73/1.44 % (21154)------------------------------
% 1.73/1.44 % (21154)------------------------------
% 1.73/1.44 % (21148)Instruction limit reached!
% 1.73/1.44 % (21148)------------------------------
% 1.73/1.44 % (21148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.44 % (21148)Termination reason: Unknown
% 1.73/1.44 % (21148)Termination phase: Saturation
% 1.73/1.44
% 1.73/1.44 % (21148)Memory used [KB]: 6140
% 1.73/1.44 % (21148)Time elapsed: 0.041 s
% 1.73/1.44 % (21148)Instructions burned: 128 (million)
% 1.73/1.44 % (21148)------------------------------
% 1.73/1.44 % (21148)------------------------------
% 1.73/1.44 % (21156)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_21001 for (2998ds/46Mi)
% 1.73/1.44 % (21156)Refutation not found, incomplete strategy
% 1.73/1.44 % (21156)------------------------------
% 1.73/1.44 % (21156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.44 % (21156)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.44
% 1.73/1.44
% 1.73/1.44 % (21156)Memory used [KB]: 5500
% 1.73/1.44 % (21156)Time elapsed: 0.002 s
% 1.73/1.44 % (21156)Instructions burned: 1 (million)
% 1.73/1.44 % (21156)------------------------------
% 1.73/1.44 % (21156)------------------------------
% 1.73/1.45 % (21152)Instruction limit reached!
% 1.73/1.45 % (21152)------------------------------
% 1.73/1.45 % (21152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.45 % (21152)Termination reason: Unknown
% 1.73/1.45 % (21152)Termination phase: Saturation
% 1.73/1.45
% 1.73/1.45 % (21152)Memory used [KB]: 5756
% 1.73/1.45 % (21152)Time elapsed: 0.027 s
% 1.73/1.45 % (21152)Instructions burned: 88 (million)
% 1.73/1.45 % (21152)------------------------------
% 1.73/1.45 % (21152)------------------------------
% 1.73/1.45 % (21157)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_21001 for (2998ds/98Mi)
% 1.73/1.45 % (21158)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_21001 for (2998ds/507Mi)
% 1.73/1.45 % (21158)Refutation not found, incomplete strategy
% 1.73/1.45 % (21158)------------------------------
% 1.73/1.45 % (21158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.45 % (21158)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.45
% 1.73/1.45
% 1.73/1.45 % (21158)Memory used [KB]: 5500
% 1.73/1.45 % (21158)Time elapsed: 0.004 s
% 1.73/1.45 % (21158)Instructions burned: 4 (million)
% 1.73/1.45 % (21158)------------------------------
% 1.73/1.45 % (21158)------------------------------
% 1.73/1.46 % (21159)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_21001 for (2998ds/149Mi)
% 1.73/1.46 % (21160)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_21001 for (2998ds/39Mi)
% 1.73/1.46 % (21161)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_21001 for (2998ds/6Mi)
% 1.73/1.47 % (21161)Instruction limit reached!
% 1.73/1.47 % (21161)------------------------------
% 1.73/1.47 % (21161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.47 % (21161)Termination reason: Unknown
% 1.73/1.47 % (21161)Termination phase: Saturation
% 1.73/1.47
% 1.73/1.47 % (21161)Memory used [KB]: 9978
% 1.73/1.47 % (21161)Time elapsed: 0.004 s
% 1.73/1.47 % (21161)Instructions burned: 6 (million)
% 1.73/1.47 % (21161)------------------------------
% 1.73/1.47 % (21161)------------------------------
% 1.73/1.47 % (21160)Instruction limit reached!
% 1.73/1.47 % (21160)------------------------------
% 1.73/1.47 % (21160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.47 % (21160)Termination reason: Unknown
% 1.73/1.47 % (21160)Termination phase: Saturation
% 1.73/1.47
% 1.73/1.47 % (21160)Memory used [KB]: 5628
% 1.73/1.47 % (21160)Time elapsed: 0.015 s
% 1.73/1.47 % (21160)Instructions burned: 39 (million)
% 1.73/1.47 % (21160)------------------------------
% 1.73/1.47 % (21160)------------------------------
% 1.73/1.48 % (21141)Instruction limit reached!
% 1.73/1.48 % (21141)------------------------------
% 1.73/1.48 % (21141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.48 % (21141)Termination reason: Unknown
% 1.73/1.48 % (21141)Termination phase: Saturation
% 1.73/1.48
% 1.73/1.48 % (21141)Memory used [KB]: 5756
% 1.73/1.48 % (21141)Time elapsed: 0.101 s
% 1.73/1.48 % (21141)Instructions burned: 380 (million)
% 1.73/1.48 % (21141)------------------------------
% 1.73/1.48 % (21141)------------------------------
% 1.73/1.48 % (21162)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_21001 for (2998ds/1087Mi)
% 1.73/1.48 % (21162)Refutation not found, incomplete strategy
% 1.73/1.48 % (21162)------------------------------
% 1.73/1.48 % (21162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.48 % (21162)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.48
% 1.73/1.48
% 1.73/1.48 % (21162)Memory used [KB]: 5500
% 1.73/1.48 % (21162)Time elapsed: 0.002 s
% 1.73/1.48 % (21162)Instructions burned: 1 (million)
% 1.73/1.48 % (21162)------------------------------
% 1.73/1.48 % (21162)------------------------------
% 1.73/1.48 % (21163)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_21001 for (2998ds/47Mi)
% 1.73/1.48 % (21157)Instruction limit reached!
% 1.73/1.48 % (21157)------------------------------
% 1.73/1.48 % (21157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.48 % (21157)Termination reason: Unknown
% 1.73/1.48 % (21157)Termination phase: Saturation
% 1.73/1.48
% 1.73/1.48 % (21157)Memory used [KB]: 1279
% 1.73/1.48 % (21157)Time elapsed: 0.032 s
% 1.73/1.48 % (21157)Instructions burned: 98 (million)
% 1.73/1.48 % (21157)------------------------------
% 1.73/1.48 % (21157)------------------------------
% 1.73/1.48 % (21164)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_21001 for (2998ds/44Mi)
% 1.73/1.49 % (21165)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_21001 for (2998ds/432Mi)
% 1.73/1.49 % (21166)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_21001 for (2998ds/62Mi)
% 1.73/1.49 % (21163)Instruction limit reached!
% 1.73/1.49 % (21163)------------------------------
% 1.73/1.49 % (21163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.49 % (21163)Termination reason: Unknown
% 1.73/1.49 % (21163)Termination phase: Saturation
% 1.73/1.49
% 1.73/1.49 % (21163)Memory used [KB]: 5628
% 1.73/1.49 % (21163)Time elapsed: 0.017 s
% 1.73/1.49 % (21163)Instructions burned: 49 (million)
% 1.73/1.49 % (21163)------------------------------
% 1.73/1.49 % (21163)------------------------------
% 1.73/1.50 % (21164)Instruction limit reached!
% 1.73/1.50 % (21164)------------------------------
% 1.73/1.50 % (21164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.50 % (21164)Termination reason: Unknown
% 1.73/1.50 % (21164)Termination phase: Saturation
% 1.73/1.50
% 1.73/1.50 % (21164)Memory used [KB]: 1151
% 1.73/1.50 % (21164)Time elapsed: 0.014 s
% 1.73/1.50 % (21164)Instructions burned: 44 (million)
% 1.73/1.50 % (21164)------------------------------
% 1.73/1.50 % (21164)------------------------------
% 1.73/1.50 % (21159)Instruction limit reached!
% 1.73/1.50 % (21159)------------------------------
% 1.73/1.50 % (21159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.50 % (21159)Termination reason: Unknown
% 1.73/1.50 % (21159)Termination phase: Saturation
% 1.73/1.50
% 1.73/1.50 % (21159)Memory used [KB]: 5884
% 1.73/1.50 % (21159)Time elapsed: 0.048 s
% 1.73/1.50 % (21159)Instructions burned: 151 (million)
% 1.73/1.50 % (21159)------------------------------
% 1.73/1.50 % (21159)------------------------------
% 1.73/1.50 % (21167)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_21001 for (2998ds/31Mi)
% 1.73/1.51 % (21168)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_21001 for (2998ds/96Mi)
% 1.73/1.51 % (21169)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_21001 for (2998ds/453Mi)
% 1.73/1.51 % (21166)Instruction limit reached!
% 1.73/1.51 % (21166)------------------------------
% 1.73/1.51 % (21166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.51 % (21166)Termination reason: Unknown
% 1.73/1.51 % (21166)Termination phase: Saturation
% 1.73/1.51
% 1.73/1.51 % (21166)Memory used [KB]: 5756
% 1.73/1.51 % (21166)Time elapsed: 0.023 s
% 1.73/1.51 % (21166)Instructions burned: 64 (million)
% 1.73/1.51 % (21166)------------------------------
% 1.73/1.51 % (21166)------------------------------
% 1.73/1.51 % (21167)Instruction limit reached!
% 1.73/1.51 % (21167)------------------------------
% 1.73/1.51 % (21167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.51 % (21167)Termination reason: Unknown
% 1.73/1.51 % (21167)Termination phase: Saturation
% 1.73/1.51
% 1.73/1.51 % (21167)Memory used [KB]: 5756
% 1.73/1.51 % (21167)Time elapsed: 0.012 s
% 1.73/1.51 % (21167)Instructions burned: 31 (million)
% 1.73/1.51 % (21167)------------------------------
% 1.73/1.51 % (21167)------------------------------
% 1.73/1.52 % (21170)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_21001 for (2997ds/71Mi)
% 1.73/1.52 % (21171)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_21001 for (2997ds/83Mi)
% 1.73/1.53 % (21171)Refutation not found, incomplete strategy
% 1.73/1.53 % (21171)------------------------------
% 1.73/1.53 % (21171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.53 % (21171)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.53
% 1.73/1.53
% 1.73/1.53 % (21171)Memory used [KB]: 5500
% 1.73/1.53 % (21171)Time elapsed: 0.002 s
% 1.73/1.53 % (21171)Instructions burned: 1 (million)
% 1.73/1.53 % (21171)------------------------------
% 1.73/1.53 % (21171)------------------------------
% 1.73/1.53 % (21168)Instruction limit reached!
% 1.73/1.53 % (21168)------------------------------
% 1.73/1.53 % (21168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.53 % (21168)Termination reason: Unknown
% 1.73/1.53 % (21168)Termination phase: Saturation
% 1.73/1.53
% 1.73/1.53 % (21168)Memory used [KB]: 5756
% 1.73/1.53 % (21168)Time elapsed: 0.029 s
% 1.73/1.53 % (21168)Instructions burned: 97 (million)
% 1.73/1.53 % (21168)------------------------------
% 1.73/1.53 % (21168)------------------------------
% 1.73/1.54 % (21172)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_21001 for (2997ds/11Mi)
% 1.73/1.54 % (21172)Instruction limit reached!
% 1.73/1.54 % (21172)------------------------------
% 1.73/1.54 % (21172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.54 % (21172)Termination reason: Unknown
% 1.73/1.54 % (21172)Termination phase: Saturation
% 1.73/1.54
% 1.73/1.54 % (21172)Memory used [KB]: 5628
% 1.73/1.54 % (21172)Time elapsed: 0.006 s
% 1.73/1.54 % (21172)Instructions burned: 13 (million)
% 1.73/1.54 % (21172)------------------------------
% 1.73/1.54 % (21172)------------------------------
% 1.73/1.54 % (21173)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_21001 for (2997ds/41Mi)
% 1.73/1.55 % (21170)Instruction limit reached!
% 1.73/1.55 % (21170)------------------------------
% 1.73/1.55 % (21170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.55 % (21170)Termination reason: Unknown
% 1.73/1.55 % (21170)Termination phase: Saturation
% 1.73/1.55
% 1.73/1.55 % (21170)Memory used [KB]: 5756
% 1.73/1.55 % (21170)Time elapsed: 0.026 s
% 1.73/1.55 % (21170)Instructions burned: 71 (million)
% 1.73/1.55 % (21170)------------------------------
% 1.73/1.55 % (21170)------------------------------
% 1.73/1.55 % (21174)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_21001 for (2997ds/6Mi)
% 1.73/1.55 % (21174)Instruction limit reached!
% 1.73/1.55 % (21174)------------------------------
% 1.73/1.55 % (21174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.55 % (21174)Termination reason: Unknown
% 1.73/1.55 % (21174)Termination phase: Saturation
% 1.73/1.55
% 1.73/1.55 % (21174)Memory used [KB]: 5500
% 1.73/1.55 % (21174)Time elapsed: 0.004 s
% 1.73/1.55 % (21174)Instructions burned: 7 (million)
% 1.73/1.55 % (21174)------------------------------
% 1.73/1.55 % (21174)------------------------------
% 1.73/1.56 % (21173)Instruction limit reached!
% 1.73/1.56 % (21173)------------------------------
% 1.73/1.56 % (21173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.56 % (21173)Termination reason: Unknown
% 1.73/1.56 % (21173)Termination phase: Saturation
% 1.73/1.56
% 1.73/1.56 % (21173)Memory used [KB]: 5628
% 1.73/1.56 % (21173)Time elapsed: 0.013 s
% 1.73/1.56 % (21173)Instructions burned: 41 (million)
% 1.73/1.56 % (21173)------------------------------
% 1.73/1.56 % (21173)------------------------------
% 1.73/1.56 % (21175)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_21001 for (2997ds/150Mi)
% 1.73/1.56 % (21176)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_21001 for (2997ds/343Mi)
% 1.73/1.56 % (21176)Refutation not found, incomplete strategy
% 1.73/1.56 % (21176)------------------------------
% 1.73/1.56 % (21176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.56 % (21176)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.56
% 1.73/1.56
% 1.73/1.56 % (21176)Memory used [KB]: 5500
% 1.73/1.56 % (21176)Time elapsed: 0.002 s
% 1.73/1.56 % (21176)Instructions burned: 1 (million)
% 1.73/1.56 % (21176)------------------------------
% 1.73/1.56 % (21176)------------------------------
% 1.73/1.57 % (21180)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_21001 for (2997ds/109Mi)
% 1.73/1.57 % (21180)Refutation not found, incomplete strategy
% 1.73/1.57 % (21180)------------------------------
% 1.73/1.57 % (21180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.57 % (21180)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.57
% 1.73/1.57
% 1.73/1.57 % (21180)Memory used [KB]: 5500
% 1.73/1.57 % (21180)Time elapsed: 0.001 s
% 1.73/1.57 % (21180)Instructions burned: 1 (million)
% 1.73/1.57 % (21180)------------------------------
% 1.73/1.57 % (21180)------------------------------
% 1.73/1.57 % (21155)Instruction limit reached!
% 1.73/1.57 % (21155)------------------------------
% 1.73/1.57 % (21155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.57 % (21155)Termination reason: Unknown
% 1.73/1.57 % (21155)Termination phase: Saturation
% 1.73/1.57
% 1.73/1.57 % (21155)Memory used [KB]: 6268
% 1.73/1.57 % (21155)Time elapsed: 0.137 s
% 1.73/1.57 % (21155)Instructions burned: 448 (million)
% 1.73/1.57 % (21155)------------------------------
% 1.73/1.57 % (21155)------------------------------
% 1.73/1.57 % (21181)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_21001 for (2997ds/253Mi)
% 1.73/1.58 % (21181)Refutation not found, incomplete strategy
% 1.73/1.58 % (21181)------------------------------
% 1.73/1.58 % (21181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.58 % (21181)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.58
% 1.73/1.58
% 1.73/1.58 % (21181)Memory used [KB]: 5500
% 1.73/1.58 % (21181)Time elapsed: 0.002 s
% 1.73/1.58 % (21181)Instructions burned: 3 (million)
% 1.73/1.58 % (21181)------------------------------
% 1.73/1.58 % (21181)------------------------------
% 1.73/1.58 % (21182)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_21001 for (2997ds/140Mi)
% 1.73/1.58 % (21182)Refutation not found, incomplete strategy
% 1.73/1.58 % (21182)------------------------------
% 1.73/1.58 % (21182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.58 % (21182)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.58
% 1.73/1.58
% 1.73/1.58 % (21182)Memory used [KB]: 5500
% 1.73/1.58 % (21182)Time elapsed: 0.002 s
% 1.73/1.58 % (21182)Instructions burned: 2 (million)
% 1.73/1.58 % (21182)------------------------------
% 1.73/1.58 % (21182)------------------------------
% 1.73/1.58 % (21183)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_21001 for (2997ds/614Mi)
% 1.73/1.59 % (21196)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_21001 for (2997ds/202Mi)
% 1.73/1.59 % (21196)Refutation not found, incomplete strategy
% 1.73/1.59 % (21196)------------------------------
% 1.73/1.59 % (21196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.59 % (21196)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.59
% 1.73/1.59
% 1.73/1.59 % (21196)Memory used [KB]: 5500
% 1.73/1.59 % (21196)Time elapsed: 0.002 s
% 1.73/1.59 % (21196)Instructions burned: 1 (million)
% 1.73/1.59 % (21196)------------------------------
% 1.73/1.59 % (21196)------------------------------
% 1.73/1.59 % (21198)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_21001 for (2997ds/339Mi)
% 1.73/1.59 % (21198)Refutation not found, incomplete strategy
% 1.73/1.59 % (21198)------------------------------
% 1.73/1.59 % (21198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.59 % (21198)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.59
% 1.73/1.59
% 1.73/1.59 % (21198)Memory used [KB]: 5500
% 1.73/1.59 % (21198)Time elapsed: 0.001 s
% 1.73/1.59 % (21198)Instructions burned: 1 (million)
% 1.73/1.59 % (21198)------------------------------
% 1.73/1.59 % (21198)------------------------------
% 1.73/1.60 % (21200)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_21001 for (2997ds/283Mi)
% 1.73/1.60 % (21201)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_21001 for (2997ds/134Mi)
% 1.73/1.60 % (21175)Instruction limit reached!
% 1.73/1.60 % (21175)------------------------------
% 1.73/1.60 % (21175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.60 % (21175)Termination reason: Unknown
% 1.73/1.60 % (21175)Termination phase: Saturation
% 1.73/1.60
% 1.73/1.60 % (21175)Memory used [KB]: 6140
% 1.73/1.60 % (21175)Time elapsed: 0.050 s
% 1.73/1.60 % (21175)Instructions burned: 152 (million)
% 1.73/1.60 % (21175)------------------------------
% 1.73/1.60 % (21175)------------------------------
% 1.73/1.62 % (21202)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_21001 for (2997ds/298Mi)
% 1.73/1.62 % (21165)Instruction limit reached!
% 1.73/1.62 % (21165)------------------------------
% 1.73/1.62 % (21165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.62 % (21165)Termination reason: Unknown
% 1.73/1.62 % (21165)Termination phase: Saturation
% 1.73/1.62
% 1.73/1.62 % (21165)Memory used [KB]: 5628
% 1.73/1.62 % (21165)Time elapsed: 0.129 s
% 1.73/1.62 % (21165)Instructions burned: 435 (million)
% 1.73/1.62 % (21165)------------------------------
% 1.73/1.62 % (21165)------------------------------
% 1.73/1.63 % (21203)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_21001 for (2997ds/192Mi)
% 1.73/1.63 % (21203)Refutation not found, incomplete strategy
% 1.73/1.63 % (21203)------------------------------
% 1.73/1.63 % (21203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.63 % (21203)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.63
% 1.73/1.63
% 1.73/1.63 % (21203)Memory used [KB]: 5500
% 1.73/1.63 % (21203)Time elapsed: 0.003 s
% 1.73/1.63 % (21203)Instructions burned: 5 (million)
% 1.73/1.63 % (21203)------------------------------
% 1.73/1.63 % (21203)------------------------------
% 1.73/1.64 % (21204)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_21001 for (2996ds/258Mi)
% 1.73/1.64 % (21204)Refutation not found, incomplete strategy
% 1.73/1.64 % (21204)------------------------------
% 1.73/1.64 % (21204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.64 % (21204)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.64
% 1.73/1.64
% 1.73/1.64 % (21204)Memory used [KB]: 5500
% 1.73/1.64 % (21204)Time elapsed: 0.001 s
% 1.73/1.64 % (21204)Instructions burned: 1 (million)
% 1.73/1.64 % (21204)------------------------------
% 1.73/1.64 % (21204)------------------------------
% 1.73/1.64 % (21169)Instruction limit reached!
% 1.73/1.64 % (21169)------------------------------
% 1.73/1.64 % (21169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.64 % (21169)Termination reason: Unknown
% 1.73/1.64 % (21169)Termination phase: Saturation
% 1.73/1.64
% 1.73/1.64 % (21169)Memory used [KB]: 5756
% 1.73/1.64 % (21169)Time elapsed: 0.128 s
% 1.73/1.64 % (21169)Instructions burned: 453 (million)
% 1.73/1.64 % (21169)------------------------------
% 1.73/1.64 % (21169)------------------------------
% 1.73/1.64 % (21201)Instruction limit reached!
% 1.73/1.64 % (21201)------------------------------
% 1.73/1.64 % (21201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.64 % (21201)Termination reason: Unknown
% 1.73/1.64 % (21201)Termination phase: Saturation
% 1.73/1.64
% 1.73/1.64 % (21201)Memory used [KB]: 6268
% 1.73/1.64 % (21201)Time elapsed: 0.064 s
% 1.73/1.64 % (21201)Instructions burned: 137 (million)
% 1.73/1.64 % (21201)------------------------------
% 1.73/1.64 % (21201)------------------------------
% 1.73/1.65 % (21205)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_21001 for (2996ds/90Mi)
% 1.73/1.65 % (21206)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_21001 for (2996ds/231Mi)
% 1.73/1.65 % (21207)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_21001 for (2996ds/458Mi)
% 1.73/1.65 % (21207)Refutation not found, incomplete strategy
% 1.73/1.65 % (21207)------------------------------
% 1.73/1.65 % (21207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.65 % (21207)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.65
% 1.73/1.65
% 1.73/1.65 % (21207)Memory used [KB]: 5500
% 1.73/1.65 % (21207)Time elapsed: 0.001 s
% 1.73/1.65 % (21207)Instructions burned: 1 (million)
% 1.73/1.65 % (21207)------------------------------
% 1.73/1.65 % (21207)------------------------------
% 1.73/1.66 % (21208)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_21001 for (2996ds/31Mi)
% 1.73/1.67 % (21208)Instruction limit reached!
% 1.73/1.67 % (21208)------------------------------
% 1.73/1.67 % (21208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.67 % (21208)Termination reason: Unknown
% 1.73/1.67 % (21208)Termination phase: Saturation
% 1.73/1.67
% 1.73/1.67 % (21208)Memory used [KB]: 5756
% 1.73/1.67 % (21208)Time elapsed: 0.036 s
% 1.73/1.67 % (21208)Instructions burned: 32 (million)
% 1.73/1.67 % (21208)------------------------------
% 1.73/1.67 % (21208)------------------------------
% 1.73/1.67 % (21205)Instruction limit reached!
% 1.73/1.67 % (21205)------------------------------
% 1.73/1.67 % (21205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.67 % (21205)Termination reason: Unknown
% 1.73/1.67 % (21205)Termination phase: Saturation
% 1.73/1.67
% 1.73/1.67 % (21205)Memory used [KB]: 5884
% 1.73/1.67 % (21205)Time elapsed: 0.051 s
% 1.73/1.67 % (21205)Instructions burned: 92 (million)
% 1.73/1.67 % (21205)------------------------------
% 1.73/1.67 % (21205)------------------------------
% 1.73/1.68 % (21126)Instruction limit reached!
% 1.73/1.68 % (21126)------------------------------
% 1.73/1.68 % (21126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.68 % (21126)Termination reason: Unknown
% 1.73/1.68 % (21126)Termination phase: Saturation
% 1.73/1.68
% 1.73/1.68 % (21126)Memory used [KB]: 6908
% 1.73/1.68 % (21126)Time elapsed: 0.346 s
% 1.73/1.68 % (21126)Instructions burned: 1042 (million)
% 1.73/1.68 % (21126)------------------------------
% 1.73/1.68 % (21126)------------------------------
% 1.73/1.68 % (21209)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_21001 for (2996ds/297Mi)
% 1.73/1.68 % (21209)Refutation not found, incomplete strategy
% 1.73/1.68 % (21209)------------------------------
% 1.73/1.68 % (21209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.68 % (21209)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.68
% 1.73/1.68
% 1.73/1.68 % (21209)Memory used [KB]: 5500
% 1.73/1.68 % (21209)Time elapsed: 0.002 s
% 1.73/1.68 % (21209)Instructions burned: 4 (million)
% 1.73/1.68 % (21209)------------------------------
% 1.73/1.68 % (21209)------------------------------
% 1.73/1.68 % (21200)Instruction limit reached!
% 1.73/1.68 % (21200)------------------------------
% 1.73/1.68 % (21200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.68 % (21200)Termination reason: Unknown
% 1.73/1.68 % (21200)Termination phase: Saturation
% 1.73/1.68
% 1.73/1.68 % (21200)Memory used [KB]: 7931
% 1.73/1.68 % (21200)Time elapsed: 0.107 s
% 1.73/1.68 % (21200)Instructions burned: 283 (million)
% 1.73/1.68 % (21200)------------------------------
% 1.73/1.68 % (21200)------------------------------
% 1.73/1.68 % (21210)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_21001 for (2996ds/987Mi)
% 1.73/1.69 % (21211)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_21001 for (2996ds/182Mi)
% 1.73/1.69 % (21212)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_21001 for (2996ds/182Mi)
% 1.73/1.69 % (21213)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_21001 for (2996ds/154Mi)
% 1.73/1.69 % (21213)Refutation not found, incomplete strategy
% 1.73/1.69 % (21213)------------------------------
% 1.73/1.69 % (21213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.69 % (21213)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.69
% 1.73/1.69
% 1.73/1.69 % (21213)Memory used [KB]: 5500
% 1.73/1.69 % (21213)Time elapsed: 0.003 s
% 1.73/1.69 % (21213)Instructions burned: 5 (million)
% 1.73/1.69 % (21213)------------------------------
% 1.73/1.69 % (21213)------------------------------
% 1.73/1.70 % (21214)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_21001 for (2996ds/79Mi)
% 1.73/1.72 % (21202)Instruction limit reached!
% 1.73/1.72 % (21202)------------------------------
% 1.73/1.72 % (21202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.72 % (21202)Termination reason: Unknown
% 1.73/1.72 % (21202)Termination phase: Saturation
% 1.73/1.72
% 1.73/1.72 % (21202)Memory used [KB]: 6268
% 1.73/1.72 % (21202)Time elapsed: 0.123 s
% 1.73/1.72 % (21202)Instructions burned: 299 (million)
% 1.73/1.72 % (21202)------------------------------
% 1.73/1.72 % (21202)------------------------------
% 1.73/1.72 % (21206)Instruction limit reached!
% 1.73/1.72 % (21206)------------------------------
% 1.73/1.72 % (21206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.72 % (21206)Termination reason: Unknown
% 1.73/1.72 % (21206)Termination phase: Saturation
% 1.73/1.72
% 1.73/1.72 % (21206)Memory used [KB]: 6140
% 1.73/1.72 % (21206)Time elapsed: 0.098 s
% 1.73/1.72 % (21206)Instructions burned: 231 (million)
% 1.73/1.72 % (21206)------------------------------
% 1.73/1.72 % (21206)------------------------------
% 1.73/1.72 % (21215)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_21001 for (2995ds/216Mi)
% 1.73/1.73 % (21214)Instruction limit reached!
% 1.73/1.73 % (21214)------------------------------
% 1.73/1.73 % (21214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.73 % (21214)Termination reason: Unknown
% 1.73/1.73 % (21214)Termination phase: Saturation
% 1.73/1.73
% 1.73/1.73 % (21214)Memory used [KB]: 5756
% 1.73/1.73 % (21214)Time elapsed: 0.026 s
% 1.73/1.73 % (21214)Instructions burned: 79 (million)
% 1.73/1.73 % (21214)------------------------------
% 1.73/1.73 % (21214)------------------------------
% 1.73/1.73 % (21216)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_21001 for (2995ds/114Mi)
% 1.73/1.74 % (21211)Instruction limit reached!
% 1.73/1.74 % (21211)------------------------------
% 1.73/1.74 % (21211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.74 % (21211)Termination reason: Unknown
% 1.73/1.74 % (21211)Termination phase: Saturation
% 1.73/1.74
% 1.73/1.74 % (21211)Memory used [KB]: 6780
% 1.73/1.74 % (21211)Time elapsed: 0.052 s
% 1.73/1.74 % (21211)Instructions burned: 185 (million)
% 1.73/1.74 % (21211)------------------------------
% 1.73/1.74 % (21211)------------------------------
% 1.73/1.74 % (21217)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_21001 for (2995ds/922Mi)
% 1.73/1.74 % (21217)Refutation not found, incomplete strategy
% 1.73/1.74 % (21217)------------------------------
% 1.73/1.74 % (21217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.74 % (21217)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.74
% 1.73/1.74
% 1.73/1.74 % (21217)Memory used [KB]: 5500
% 1.73/1.74 % (21217)Time elapsed: 0.002 s
% 1.73/1.74 % (21217)Instructions burned: 2 (million)
% 1.73/1.74 % (21217)------------------------------
% 1.73/1.74 % (21217)------------------------------
% 1.73/1.74 % (21212)Instruction limit reached!
% 1.73/1.74 % (21212)------------------------------
% 1.73/1.74 % (21212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.74 % (21212)Termination reason: Unknown
% 1.73/1.74 % (21212)Termination phase: Saturation
% 1.73/1.74
% 1.73/1.74 % (21212)Memory used [KB]: 6012
% 1.73/1.74 % (21212)Time elapsed: 0.056 s
% 1.73/1.74 % (21212)Instructions burned: 185 (million)
% 1.73/1.74 % (21212)------------------------------
% 1.73/1.74 % (21212)------------------------------
% 1.73/1.75 % (21218)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_21001 for (2995ds/182Mi)
% 1.73/1.75 % (21219)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_21001 for (2995ds/164Mi)
% 1.73/1.75 % (21219)Refutation not found, incomplete strategy
% 1.73/1.75 % (21219)------------------------------
% 1.73/1.75 % (21219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.75 % (21219)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.75
% 1.73/1.75
% 1.73/1.75 % (21219)Memory used [KB]: 1023
% 1.73/1.75 % (21219)Time elapsed: 0.001 s
% 1.73/1.75 % (21219)Instructions burned: 1 (million)
% 1.73/1.75 % (21219)------------------------------
% 1.73/1.75 % (21219)------------------------------
% 1.73/1.75 % (21220)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_21001 for (2995ds/50Mi)
% 1.73/1.76 % (21221)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_21001 for (2995ds/368Mi)
% 1.73/1.76 % (21216)Instruction limit reached!
% 1.73/1.76 % (21216)------------------------------
% 1.73/1.76 % (21216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.76 % (21216)Termination reason: Unknown
% 1.73/1.76 % (21216)Termination phase: Saturation
% 1.73/1.76
% 1.73/1.76 % (21216)Memory used [KB]: 6140
% 1.73/1.76 % (21216)Time elapsed: 0.033 s
% 1.73/1.76 % (21216)Instructions burned: 117 (million)
% 1.73/1.76 % (21216)------------------------------
% 1.73/1.76 % (21216)------------------------------
% 1.73/1.76 % (21183)Instruction limit reached!
% 1.73/1.76 % (21183)------------------------------
% 1.73/1.76 % (21183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.76 % (21183)Termination reason: Unknown
% 1.73/1.76 % (21183)Termination phase: Saturation
% 1.73/1.76
% 1.73/1.76 % (21183)Memory used [KB]: 6268
% 1.73/1.76 % (21183)Time elapsed: 0.186 s
% 1.73/1.76 % (21183)Instructions burned: 617 (million)
% 1.73/1.76 % (21183)------------------------------
% 1.73/1.76 % (21183)------------------------------
% 1.73/1.77 % (21220)Instruction limit reached!
% 1.73/1.77 % (21220)------------------------------
% 1.73/1.77 % (21220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.77 % (21220)Termination reason: Unknown
% 1.73/1.77 % (21220)Termination phase: Saturation
% 1.73/1.77
% 1.73/1.77 % (21220)Memory used [KB]: 10234
% 1.73/1.77 % (21220)Time elapsed: 0.017 s
% 1.73/1.77 % (21220)Instructions burned: 51 (million)
% 1.73/1.77 % (21220)------------------------------
% 1.73/1.77 % (21220)------------------------------
% 1.73/1.77 % (21222)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_21001 for (2995ds/1021Mi)
% 1.73/1.77 % (21223)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_21001 for (2995ds/267Mi)
% 1.73/1.78 % (21224)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_21001 for (2995ds/204Mi)
% 1.73/1.78 % (21224)Refutation not found, incomplete strategy
% 1.73/1.78 % (21224)------------------------------
% 1.73/1.78 % (21224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.78 % (21224)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.78
% 1.73/1.78
% 1.73/1.78 % (21224)Memory used [KB]: 5500
% 1.73/1.78 % (21224)Time elapsed: 0.001 s
% 1.73/1.78 % (21224)Instructions burned: 1 (million)
% 1.73/1.78 % (21224)------------------------------
% 1.73/1.78 % (21224)------------------------------
% 1.73/1.79 % (21225)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_21001 for (2995ds/26Mi)
% 1.73/1.79 % (21215)Instruction limit reached!
% 1.73/1.79 % (21215)------------------------------
% 1.73/1.79 % (21215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.79 % (21215)Termination reason: Unknown
% 1.73/1.79 % (21215)Termination phase: Saturation
% 1.73/1.79
% 1.73/1.79 % (21215)Memory used [KB]: 5756
% 1.73/1.79 % (21215)Time elapsed: 0.066 s
% 1.73/1.79 % (21215)Instructions burned: 219 (million)
% 1.73/1.79 % (21215)------------------------------
% 1.73/1.79 % (21215)------------------------------
% 1.73/1.80 % (21218)Instruction limit reached!
% 1.73/1.80 % (21218)------------------------------
% 1.73/1.80 % (21218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.80 % (21218)Termination reason: Unknown
% 1.73/1.80 % (21218)Termination phase: Saturation
% 1.73/1.80
% 1.73/1.80 % (21218)Memory used [KB]: 5628
% 1.73/1.80 % (21218)Time elapsed: 0.051 s
% 1.73/1.80 % (21218)Instructions burned: 183 (million)
% 1.73/1.80 % (21218)------------------------------
% 1.73/1.80 % (21218)------------------------------
% 1.73/1.80 % (21225)Instruction limit reached!
% 1.73/1.80 % (21225)------------------------------
% 1.73/1.80 % (21225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.80 % (21225)Termination reason: Unknown
% 1.73/1.80 % (21225)Termination phase: Saturation
% 1.73/1.80
% 1.73/1.80 % (21225)Memory used [KB]: 5628
% 1.73/1.80 % (21225)Time elapsed: 0.009 s
% 1.73/1.80 % (21225)Instructions burned: 27 (million)
% 1.73/1.80 % (21225)------------------------------
% 1.73/1.80 % (21225)------------------------------
% 1.73/1.80 % (21226)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_21001 for (2995ds/53Mi)
% 1.73/1.81 % (21227)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_21001 for (2995ds/4436Mi)
% 1.73/1.81 % (21228)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_21001 for (2995ds/1539Mi)
% 1.73/1.81 % (21227)Refutation not found, incomplete strategy
% 1.73/1.81 % (21227)------------------------------
% 1.73/1.81 % (21227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.81 % (21227)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.81
% 1.73/1.81
% 1.73/1.81 % (21227)Memory used [KB]: 5500
% 1.73/1.81 % (21227)Time elapsed: 0.001 s
% 1.73/1.81 % (21227)Instructions burned: 1 (million)
% 1.73/1.81 % (21227)------------------------------
% 1.73/1.81 % (21227)------------------------------
% 1.73/1.82 % (21226)Instruction limit reached!
% 1.73/1.82 % (21226)------------------------------
% 1.73/1.82 % (21226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.82 % (21226)Termination reason: Unknown
% 1.73/1.82 % (21226)Termination phase: Saturation
% 1.73/1.82
% 1.73/1.82 % (21226)Memory used [KB]: 5628
% 1.73/1.82 % (21226)Time elapsed: 0.017 s
% 1.73/1.82 % (21226)Instructions burned: 55 (million)
% 1.73/1.82 % (21226)------------------------------
% 1.73/1.82 % (21226)------------------------------
% 1.73/1.82 % (21229)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_21001 for (2994ds/408Mi)
% 1.73/1.82 % (21229)Refutation not found, incomplete strategy
% 1.73/1.82 % (21229)------------------------------
% 1.73/1.82 % (21229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.82 % (21229)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.82
% 1.73/1.82
% 1.73/1.82 % (21229)Memory used [KB]: 5500
% 1.73/1.82 % (21229)Time elapsed: 0.002 s
% 1.73/1.82 % (21229)Instructions burned: 4 (million)
% 1.73/1.82 % (21229)------------------------------
% 1.73/1.82 % (21229)------------------------------
% 1.73/1.82 % (21230)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_21001 for (2994ds/5205Mi)
% 1.73/1.83 % (21231)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_21001 for (2994ds/1913Mi)
% 1.73/1.83 % (21231)Refutation not found, incomplete strategy
% 1.73/1.83 % (21231)------------------------------
% 1.73/1.83 % (21231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.83 % (21231)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.83
% 1.73/1.83
% 1.73/1.83 % (21231)Memory used [KB]: 1023
% 1.73/1.83 % (21231)Time elapsed: 0.001 s
% 1.73/1.83 % (21231)Instructions burned: 1 (million)
% 1.73/1.83 % (21231)------------------------------
% 1.73/1.83 % (21231)------------------------------
% 1.73/1.84 % (21232)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_21001 for (2994ds/4350Mi)
% 1.73/1.84 % (21232)Refutation not found, incomplete strategy
% 1.73/1.84 % (21232)------------------------------
% 1.73/1.84 % (21232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.84 % (21232)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.84
% 1.73/1.84
% 1.73/1.84 % (21232)Memory used [KB]: 5500
% 1.73/1.84 % (21232)Time elapsed: 0.001 s
% 1.73/1.84 % (21232)Instructions burned: 1 (million)
% 1.73/1.84 % (21232)------------------------------
% 1.73/1.84 % (21232)------------------------------
% 1.73/1.85 % (21233)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_21001 for (2994ds/68Mi)
% 1.73/1.85 % (21233)Refutation not found, incomplete strategy
% 1.73/1.85 % (21233)------------------------------
% 1.73/1.85 % (21233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.85 % (21233)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.85
% 1.73/1.85
% 1.73/1.85 % (21233)Memory used [KB]: 5500
% 1.73/1.85 % (21233)Time elapsed: 0.001 s
% 1.73/1.85 % (21233)Instructions burned: 1 (million)
% 1.73/1.85 % (21233)------------------------------
% 1.73/1.85 % (21233)------------------------------
% 1.73/1.85 % (21223)Instruction limit reached!
% 1.73/1.85 % (21223)------------------------------
% 1.73/1.85 % (21223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.85 % (21223)Termination reason: Unknown
% 1.73/1.85 % (21223)Termination phase: Saturation
% 1.73/1.85
% 1.73/1.85 % (21223)Memory used [KB]: 6396
% 1.73/1.85 % (21223)Time elapsed: 0.079 s
% 1.73/1.85 % (21223)Instructions burned: 268 (million)
% 1.73/1.85 % (21223)------------------------------
% 1.73/1.85 % (21223)------------------------------
% 1.73/1.86 % (21234)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_21001 for (2994ds/358Mi)
% 1.73/1.86 % (21235)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_21001 for (2994ds/31Mi)
% 1.73/1.86 % (21234)Refutation not found, incomplete strategy
% 1.73/1.86 % (21234)------------------------------
% 1.73/1.86 % (21234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.86 % (21234)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.86
% 1.73/1.86
% 1.73/1.86 % (21234)Memory used [KB]: 5500
% 1.73/1.86 % (21234)Time elapsed: 0.001 s
% 1.73/1.86 % (21234)Instructions burned: 1 (million)
% 1.73/1.86 % (21234)------------------------------
% 1.73/1.86 % (21234)------------------------------
% 1.73/1.86 % (21221)Instruction limit reached!
% 1.73/1.86 % (21221)------------------------------
% 1.73/1.86 % (21221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.86 % (21221)Termination reason: Unknown
% 1.73/1.86 % (21221)Termination phase: Saturation
% 1.73/1.86
% 1.73/1.86 % (21221)Memory used [KB]: 7419
% 1.73/1.86 % (21221)Time elapsed: 0.105 s
% 1.73/1.86 % (21221)Instructions burned: 369 (million)
% 1.73/1.86 % (21221)------------------------------
% 1.73/1.86 % (21221)------------------------------
% 1.73/1.87 % (21236)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_21001 for (2994ds/279Mi)
% 1.73/1.87 % (21235)Instruction limit reached!
% 1.73/1.87 % (21235)------------------------------
% 1.73/1.87 % (21235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.87 % (21235)Termination reason: Unknown
% 1.73/1.87 % (21235)Termination phase: Saturation
% 1.73/1.87
% 1.73/1.87 % (21235)Memory used [KB]: 5756
% 1.73/1.87 % (21235)Time elapsed: 0.011 s
% 1.73/1.87 % (21235)Instructions burned: 33 (million)
% 1.73/1.87 % (21235)------------------------------
% 1.73/1.87 % (21235)------------------------------
% 1.73/1.87 % (21236)Refutation not found, incomplete strategy
% 1.73/1.87 % (21236)------------------------------
% 1.73/1.87 % (21236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.87 % (21236)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.87
% 1.73/1.87
% 1.73/1.87 % (21236)Memory used [KB]: 5500
% 1.73/1.87 % (21236)Time elapsed: 0.002 s
% 1.73/1.87 % (21236)Instructions burned: 4 (million)
% 1.73/1.87 % (21236)------------------------------
% 1.73/1.87 % (21236)------------------------------
% 1.73/1.87 % (21237)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_21001 for (2994ds/258Mi)
% 1.73/1.88 % (21238)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_21001 for (2994ds/26Mi)
% 1.73/1.88 % (21239)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_21001 for (2994ds/995Mi)
% 1.73/1.89 % (21238)Instruction limit reached!
% 1.73/1.89 % (21238)------------------------------
% 1.73/1.89 % (21238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.89 % (21238)Termination reason: Unknown
% 1.73/1.89 % (21238)Termination phase: Saturation
% 1.73/1.89
% 1.73/1.89 % (21238)Memory used [KB]: 5628
% 1.73/1.89 % (21238)Time elapsed: 0.009 s
% 1.73/1.89 % (21238)Instructions burned: 27 (million)
% 1.73/1.89 % (21238)------------------------------
% 1.73/1.89 % (21238)------------------------------
% 1.73/1.90 % (21240)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_21001 for (2994ds/373Mi)
% 1.73/1.95 % (21237)Instruction limit reached!
% 1.73/1.95 % (21237)------------------------------
% 1.73/1.95 % (21237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.95 % (21237)Termination reason: Unknown
% 1.73/1.95 % (21237)Termination phase: Saturation
% 1.73/1.95
% 1.73/1.95 % (21237)Memory used [KB]: 6268
% 1.73/1.95 % (21237)Time elapsed: 0.077 s
% 1.73/1.95 % (21237)Instructions burned: 259 (million)
% 1.73/1.95 % (21237)------------------------------
% 1.73/1.95 % (21237)------------------------------
% 1.73/1.96 % (21241)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_21001 for (2993ds/253Mi)
% 1.73/1.97 % (21210)Instruction limit reached!
% 1.73/1.97 % (21210)------------------------------
% 1.73/1.97 % (21210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.97 % (21210)Termination reason: Unknown
% 1.73/1.97 % (21210)Termination phase: Saturation
% 1.73/1.97
% 1.73/1.97 % (21210)Memory used [KB]: 6908
% 1.73/1.97 % (21210)Time elapsed: 0.287 s
% 1.73/1.97 % (21210)Instructions burned: 990 (million)
% 1.73/1.97 % (21210)------------------------------
% 1.73/1.97 % (21210)------------------------------
% 1.73/1.98 % (21242)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_21001 for (2993ds/832Mi)
% 1.73/1.98 % (21242)Refutation not found, incomplete strategy
% 1.73/1.98 % (21242)------------------------------
% 1.73/1.98 % (21242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.98 % (21242)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.98
% 1.73/1.98
% 1.73/1.98 % (21242)Memory used [KB]: 5500
% 1.73/1.98 % (21242)Time elapsed: 0.002 s
% 1.73/1.98 % (21242)Instructions burned: 3 (million)
% 1.73/1.98 % (21242)------------------------------
% 1.73/1.98 % (21242)------------------------------
% 1.73/1.99 % (21243)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_21001 for (2993ds/668Mi)
% 1.73/2.00 % (21240)Instruction limit reached!
% 1.73/2.00 % (21240)------------------------------
% 1.73/2.00 % (21240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/2.00 % (21240)Termination reason: Unknown
% 1.73/2.00 % (21240)Termination phase: Saturation
% 1.73/2.00
% 1.73/2.00 % (21240)Memory used [KB]: 6780
% 1.73/2.00 % (21240)Time elapsed: 0.104 s
% 1.73/2.00 % (21240)Instructions burned: 374 (million)
% 1.73/2.00 % (21240)------------------------------
% 1.73/2.00 % (21240)------------------------------
% 1.73/2.01 % (21244)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_21001 for (2993ds/40Mi)
% 6.64/2.02 % (21244)Instruction limit reached!
% 6.64/2.02 % (21244)------------------------------
% 6.64/2.02 % (21244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.02 % (21244)Termination reason: Unknown
% 6.64/2.02 % (21244)Termination phase: Saturation
% 6.64/2.02
% 6.64/2.02 % (21244)Memory used [KB]: 5756
% 6.64/2.02 % (21244)Time elapsed: 0.014 s
% 6.64/2.02 % (21244)Instructions burned: 42 (million)
% 6.64/2.02 % (21244)------------------------------
% 6.64/2.02 % (21244)------------------------------
% 6.64/2.02 % (21241)Instruction limit reached!
% 6.64/2.02 % (21241)------------------------------
% 6.64/2.02 % (21241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.02 % (21241)Termination reason: Unknown
% 6.64/2.02 % (21241)Termination phase: Saturation
% 6.64/2.02
% 6.64/2.02 % (21241)Memory used [KB]: 5756
% 6.64/2.02 % (21241)Time elapsed: 0.068 s
% 6.64/2.02 % (21241)Instructions burned: 256 (million)
% 6.64/2.02 % (21241)------------------------------
% 6.64/2.02 % (21241)------------------------------
% 6.64/2.03 % (21245)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_21001 for (2992ds/294Mi)
% 6.64/2.03 % (21245)Refutation not found, incomplete strategy
% 6.64/2.03 % (21245)------------------------------
% 6.64/2.03 % (21245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.03 % (21245)Termination reason: Refutation not found, incomplete strategy
% 6.64/2.03
% 6.64/2.03
% 6.64/2.03 % (21245)Memory used [KB]: 5500
% 6.64/2.03 % (21245)Time elapsed: 0.002 s
% 6.64/2.03 % (21245)Instructions burned: 4 (million)
% 6.64/2.03 % (21245)------------------------------
% 6.64/2.03 % (21245)------------------------------
% 6.64/2.03 % (21246)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_21001 for (2992ds/187Mi)
% 6.64/2.04 % (21247)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_21001 for (2992ds/371Mi)
% 6.64/2.04 % (21247)Refutation not found, incomplete strategy
% 6.64/2.04 % (21247)------------------------------
% 6.64/2.04 % (21247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.04 % (21247)Termination reason: Refutation not found, incomplete strategy
% 6.64/2.04
% 6.64/2.04
% 6.64/2.04 % (21247)Memory used [KB]: 5500
% 6.64/2.04 % (21247)Time elapsed: 0.001 s
% 6.64/2.04 % (21247)Instructions burned: 1 (million)
% 6.64/2.04 % (21247)------------------------------
% 6.64/2.04 % (21247)------------------------------
% 6.64/2.05 % (21222)Instruction limit reached!
% 6.64/2.05 % (21222)------------------------------
% 6.64/2.05 % (21222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.05 % (21222)Termination reason: Unknown
% 6.64/2.05 % (21222)Termination phase: Saturation
% 6.64/2.05
% 6.64/2.05 % (21222)Memory used [KB]: 7036
% 6.64/2.05 % (21222)Time elapsed: 0.282 s
% 6.64/2.05 % (21222)Instructions burned: 1023 (million)
% 6.64/2.05 % (21222)------------------------------
% 6.64/2.05 % (21222)------------------------------
% 6.64/2.05 % (21248)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_21001 for (2992ds/1827Mi)
% 6.64/2.06 % (21249)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_21001 for (2992ds/70Mi)
% 6.64/2.08 % (21249)Instruction limit reached!
% 6.64/2.08 % (21249)------------------------------
% 6.64/2.08 % (21249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.08 % (21249)Termination reason: Unknown
% 6.64/2.08 % (21249)Termination phase: Saturation
% 6.64/2.08
% 6.64/2.08 % (21249)Memory used [KB]: 1407
% 6.64/2.08 % (21249)Time elapsed: 0.022 s
% 6.64/2.08 % (21249)Instructions burned: 71 (million)
% 6.64/2.08 % (21249)------------------------------
% 6.64/2.08 % (21249)------------------------------
% 6.64/2.09 % (21246)Instruction limit reached!
% 6.64/2.09 % (21246)------------------------------
% 6.64/2.09 % (21246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.09 % (21246)Termination reason: Unknown
% 6.64/2.09 % (21246)Termination phase: Saturation
% 6.64/2.09
% 6.64/2.09 % (21246)Memory used [KB]: 7547
% 6.64/2.09 % (21246)Time elapsed: 0.052 s
% 6.64/2.09 % (21246)Instructions burned: 187 (million)
% 6.64/2.09 % (21246)------------------------------
% 6.64/2.09 % (21246)------------------------------
% 6.64/2.09 % (21250)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_21001 for (2992ds/316Mi)
% 6.64/2.09 % (21250)Refutation not found, incomplete strategy
% 6.64/2.09 % (21250)------------------------------
% 6.64/2.09 % (21250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.09 % (21250)Termination reason: Refutation not found, incomplete strategy
% 6.64/2.09
% 6.64/2.09
% 6.64/2.09 % (21250)Memory used [KB]: 5500
% 6.64/2.09 % (21250)Time elapsed: 0.002 s
% 6.64/2.09 % (21250)Instructions burned: 4 (million)
% 6.64/2.09 % (21250)------------------------------
% 6.64/2.09 % (21250)------------------------------
% 6.64/2.09 % (21251)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_21001 for (2992ds/932Mi)
% 6.64/2.10 % (21252)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_21001 for (2992ds/4714Mi)
% 6.64/2.11 % (21252)Refutation not found, incomplete strategy
% 6.64/2.11 % (21252)------------------------------
% 6.64/2.11 % (21252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.64/2.11 % (21252)Termination reason: Refutation not found, incomplete strategy
% 6.64/2.11
% 6.64/2.11
% 6.64/2.11 % (21252)Memory used [KB]: 5500
% 6.64/2.11 % (21252)Time elapsed: 0.002 s
% 6.64/2.11 % (21252)Instructions burned: 4 (million)
% 6.64/2.11 % (21252)------------------------------
% 6.64/2.11 % (21252)------------------------------
% 7.28/2.11 % (21253)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_21001 for (2991ds/8250Mi)
% 7.28/2.14 % (21239)Instruction limit reached!
% 7.28/2.14 % (21239)------------------------------
% 7.28/2.14 % (21239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.14 % (21239)Termination reason: Unknown
% 7.28/2.14 % (21239)Termination phase: Saturation
% 7.28/2.14
% 7.28/2.14 % (21239)Memory used [KB]: 5884
% 7.28/2.14 % (21239)Time elapsed: 0.264 s
% 7.28/2.14 % (21239)Instructions burned: 995 (million)
% 7.28/2.14 % (21239)------------------------------
% 7.28/2.14 % (21239)------------------------------
% 7.28/2.15 % (21254)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_21001 for (2991ds/770Mi)
% 7.28/2.15 % (21254)Refutation not found, incomplete strategy
% 7.28/2.15 % (21254)------------------------------
% 7.28/2.15 % (21254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.15 % (21254)Termination reason: Refutation not found, incomplete strategy
% 7.28/2.15
% 7.28/2.15
% 7.28/2.15 % (21254)Memory used [KB]: 5500
% 7.28/2.15 % (21254)Time elapsed: 0.002 s
% 7.28/2.15 % (21254)Instructions burned: 1 (million)
% 7.28/2.15 % (21254)------------------------------
% 7.28/2.15 % (21254)------------------------------
% 7.28/2.16 % (21255)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_21001 for (2991ds/794Mi)
% 7.28/2.18 % (21243)Instruction limit reached!
% 7.28/2.18 % (21243)------------------------------
% 7.28/2.18 % (21243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.18 % (21243)Termination reason: Unknown
% 7.28/2.18 % (21243)Termination phase: Saturation
% 7.28/2.18
% 7.28/2.18 % (21243)Memory used [KB]: 12409
% 7.28/2.18 % (21243)Time elapsed: 0.191 s
% 7.28/2.18 % (21243)Instructions burned: 669 (million)
% 7.28/2.18 % (21243)------------------------------
% 7.28/2.18 % (21243)------------------------------
% 7.28/2.19 % (21256)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_21001 for (2991ds/464Mi)
% 7.57/2.23 % (21228)Instruction limit reached!
% 7.57/2.23 % (21228)------------------------------
% 7.57/2.23 % (21228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.57/2.23 % (21228)Termination reason: Unknown
% 7.57/2.23 % (21228)Termination phase: Saturation
% 7.57/2.23
% 7.57/2.23 % (21228)Memory used [KB]: 7547
% 7.57/2.23 % (21228)Time elapsed: 0.424 s
% 7.57/2.23 % (21228)Instructions burned: 1540 (million)
% 7.57/2.23 % (21228)------------------------------
% 7.57/2.23 % (21228)------------------------------
% 7.57/2.24 % (21257)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_21001 for (2990ds/1376Mi)
% 7.71/2.32 % (21256)Instruction limit reached!
% 7.71/2.32 % (21256)------------------------------
% 7.71/2.32 % (21256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.71/2.32 % (21256)Termination reason: Unknown
% 7.71/2.32 % (21256)Termination phase: Saturation
% 7.71/2.32
% 7.71/2.32 % (21256)Memory used [KB]: 5884
% 7.71/2.32 % (21256)Time elapsed: 0.127 s
% 7.71/2.32 % (21256)Instructions burned: 464 (million)
% 7.71/2.32 % (21256)------------------------------
% 7.71/2.32 % (21256)------------------------------
% 7.71/2.33 % (21258)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_21001 for (2989ds/906Mi)
% 7.71/2.36 % (21251)Instruction limit reached!
% 7.71/2.36 % (21251)------------------------------
% 7.71/2.36 % (21251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.71/2.36 % (21251)Termination reason: Unknown
% 7.71/2.36 % (21251)Termination phase: Saturation
% 7.71/2.36
% 7.71/2.36 % (21251)Memory used [KB]: 8699
% 7.71/2.36 % (21251)Time elapsed: 0.290 s
% 7.71/2.36 % (21251)Instructions burned: 935 (million)
% 7.71/2.36 % (21251)------------------------------
% 7.71/2.36 % (21251)------------------------------
% 7.71/2.37 % (21259)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_21001 for (2989ds/434Mi)
% 7.71/2.37 % (21259)Refutation not found, incomplete strategy
% 7.71/2.37 % (21259)------------------------------
% 7.71/2.37 % (21259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.71/2.37 % (21259)Termination reason: Refutation not found, incomplete strategy
% 7.71/2.37
% 7.71/2.37
% 7.71/2.37 % (21259)Memory used [KB]: 5500
% 7.71/2.37 % (21259)Time elapsed: 0.002 s
% 7.71/2.37 % (21259)Instructions burned: 3 (million)
% 7.71/2.37 % (21259)------------------------------
% 7.71/2.37 % (21259)------------------------------
% 7.71/2.38 % (21260)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_21001 for (2989ds/865Mi)
% 7.71/2.38 % (21260)Refutation not found, incomplete strategy
% 7.71/2.38 % (21260)------------------------------
% 7.71/2.38 % (21260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.71/2.38 % (21260)Termination reason: Refutation not found, incomplete strategy
% 7.71/2.38
% 7.71/2.38
% 7.71/2.38 % (21260)Memory used [KB]: 5500
% 7.71/2.38 % (21260)Time elapsed: 0.001 s
% 7.71/2.38 % (21260)Instructions burned: 1 (million)
% 7.71/2.38 % (21260)------------------------------
% 7.71/2.38 % (21260)------------------------------
% 7.71/2.39 % (21255)Instruction limit reached!
% 7.71/2.39 % (21255)------------------------------
% 7.71/2.39 % (21255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.71/2.39 % (21255)Termination reason: Unknown
% 7.71/2.39 % (21255)Termination phase: Saturation
% 7.71/2.39
% 7.71/2.39 % (21255)Memory used [KB]: 2814
% 7.71/2.39 % (21255)Time elapsed: 0.226 s
% 7.71/2.39 % (21255)Instructions burned: 796 (million)
% 7.71/2.39 % (21255)------------------------------
% 7.71/2.39 % (21255)------------------------------
% 7.71/2.39 % (21261)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_21001 for (2989ds/593Mi)
% 8.48/2.40 % (21262)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_21001 for (2989ds/443Mi)
% 8.48/2.40 % (21262)Refutation not found, incomplete strategy
% 8.48/2.40 % (21262)------------------------------
% 8.48/2.40 % (21262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.48/2.40 % (21262)Termination reason: Refutation not found, incomplete strategy
% 8.48/2.40
% 8.48/2.40
% 8.48/2.40 % (21262)Memory used [KB]: 5500
% 8.48/2.40 % (21262)Time elapsed: 0.002 s
% 8.48/2.40 % (21262)Instructions burned: 1 (million)
% 8.48/2.40 % (21262)------------------------------
% 8.48/2.40 % (21262)------------------------------
% 8.48/2.41 % (21263)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_21001 for (2988ds/594Mi)
% 8.48/2.41 % (21263)Refutation not found, incomplete strategy
% 8.48/2.41 % (21263)------------------------------
% 8.48/2.41 % (21263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.48/2.41 % (21263)Termination reason: Refutation not found, incomplete strategy
% 8.48/2.41
% 8.48/2.41
% 8.48/2.41 % (21263)Memory used [KB]: 5500
% 8.48/2.41 % (21263)Time elapsed: 0.001 s
% 8.48/2.41 % (21263)Instructions burned: 1 (million)
% 8.48/2.41 % (21263)------------------------------
% 8.48/2.41 % (21263)------------------------------
% 8.48/2.42 % (21264)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_21001 for (2988ds/327Mi)
% 8.61/2.51 % (21264)Instruction limit reached!
% 8.61/2.51 % (21264)------------------------------
% 8.61/2.51 % (21264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.51 % (21264)Termination reason: Unknown
% 8.61/2.51 % (21264)Termination phase: Saturation
% 8.61/2.51
% 8.61/2.51 % (21264)Memory used [KB]: 8187
% 8.61/2.51 % (21264)Time elapsed: 0.095 s
% 8.61/2.51 % (21264)Instructions burned: 328 (million)
% 8.61/2.51 % (21264)------------------------------
% 8.61/2.51 % (21264)------------------------------
% 8.61/2.52 % (21265)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_21001 for (2987ds/5411Mi)
% 8.61/2.52 % (21265)Refutation not found, incomplete strategy
% 8.61/2.52 % (21265)------------------------------
% 8.61/2.52 % (21265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.52 % (21265)Termination reason: Refutation not found, incomplete strategy
% 8.61/2.52
% 8.61/2.52
% 8.61/2.52 % (21265)Memory used [KB]: 5500
% 8.61/2.52 % (21265)Time elapsed: 0.002 s
% 8.61/2.52 % (21265)Instructions burned: 2 (million)
% 8.61/2.52 % (21265)------------------------------
% 8.61/2.52 % (21265)------------------------------
% 8.61/2.53 % (21266)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_21001 for (2987ds/1762Mi)
% 8.61/2.56 % (21261)Instruction limit reached!
% 8.61/2.56 % (21261)------------------------------
% 8.61/2.56 % (21261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.56 % (21261)Termination reason: Unknown
% 8.61/2.56 % (21261)Termination phase: Saturation
% 8.61/2.56
% 8.61/2.56 % (21261)Memory used [KB]: 7036
% 8.61/2.56 % (21261)Time elapsed: 0.169 s
% 8.61/2.56 % (21261)Instructions burned: 595 (million)
% 8.61/2.56 % (21261)------------------------------
% 8.61/2.56 % (21261)------------------------------
% 8.61/2.57 % (21267)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_21001 for (2987ds/96Mi)
% 8.61/2.57 % (21258)Instruction limit reached!
% 8.61/2.57 % (21258)------------------------------
% 8.61/2.57 % (21258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.57 % (21258)Termination reason: Unknown
% 8.61/2.57 % (21258)Termination phase: Saturation
% 8.61/2.57
% 8.61/2.57 % (21258)Memory used [KB]: 8827
% 8.61/2.57 % (21258)Time elapsed: 0.247 s
% 8.61/2.57 % (21258)Instructions burned: 908 (million)
% 8.61/2.57 % (21258)------------------------------
% 8.61/2.57 % (21258)------------------------------
% 8.61/2.57 % (21248)Instruction limit reached!
% 8.61/2.57 % (21248)------------------------------
% 8.61/2.57 % (21248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.58 % (21248)Termination reason: Unknown
% 8.61/2.58 % (21248)Termination phase: Saturation
% 8.61/2.58
% 8.61/2.58 % (21248)Memory used [KB]: 7036
% 8.61/2.58 % (21248)Time elapsed: 0.523 s
% 8.61/2.58 % (21248)Instructions burned: 1830 (million)
% 8.61/2.58 % (21248)------------------------------
% 8.61/2.58 % (21248)------------------------------
% 8.61/2.58 % (21268)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_21001 for (2987ds/503Mi)
% 8.61/2.58 % (21268)Refutation not found, incomplete strategy
% 8.61/2.58 % (21268)------------------------------
% 8.61/2.58 % (21268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.58 % (21268)Termination reason: Refutation not found, incomplete strategy
% 8.61/2.58
% 8.61/2.58
% 8.61/2.58 % (21268)Memory used [KB]: 5500
% 8.61/2.58 % (21268)Time elapsed: 0.002 s
% 8.61/2.58 % (21268)------------------------------
% 8.61/2.58 % (21268)------------------------------
% 8.61/2.59 % (21269)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_21001 for (2987ds/90Mi)
% 8.61/2.59 % (21273)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_21001 for (2987ds/593Mi)
% 9.80/2.60 % (21267)Instruction limit reached!
% 9.80/2.60 % (21267)------------------------------
% 9.80/2.60 % (21267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.80/2.60 % (21267)Termination reason: Unknown
% 9.80/2.60 % (21267)Termination phase: Saturation
% 9.80/2.60
% 9.80/2.60 % (21267)Memory used [KB]: 5884
% 9.80/2.60 % (21267)Time elapsed: 0.031 s
% 9.80/2.60 % (21267)Instructions burned: 99 (million)
% 9.80/2.60 % (21267)------------------------------
% 9.80/2.60 % (21267)------------------------------
% 9.80/2.61 % (21278)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_21001 for (2987ds/1512Mi)
% 9.80/2.61 % (21278)Refutation not found, incomplete strategy
% 9.80/2.61 % (21278)------------------------------
% 9.80/2.61 % (21278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.80/2.61 % (21278)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.61
% 9.80/2.61
% 9.80/2.61 % (21278)Memory used [KB]: 5500
% 9.80/2.61 % (21278)Time elapsed: 0.003 s
% 9.80/2.61 % (21278)Instructions burned: 5 (million)
% 9.80/2.61 % (21278)------------------------------
% 9.80/2.61 % (21278)------------------------------
% 9.80/2.62 % (21269)Instruction limit reached!
% 9.80/2.62 % (21269)------------------------------
% 9.80/2.62 % (21269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.80/2.62 % (21269)Termination reason: Unknown
% 9.80/2.62 % (21269)Termination phase: Saturation
% 9.80/2.62
% 9.80/2.62 % (21269)Memory used [KB]: 5884
% 9.80/2.62 % (21269)Time elapsed: 0.033 s
% 9.80/2.62 % (21269)Instructions burned: 92 (million)
% 9.80/2.62 % (21269)------------------------------
% 9.80/2.62 % (21269)------------------------------
% 9.80/2.62 % (21289)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_21001 for (2986ds/569Mi)
% 9.80/2.63 % (21257)Instruction limit reached!
% 9.80/2.63 % (21257)------------------------------
% 9.80/2.63 % (21257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.80/2.63 % (21257)Termination reason: Unknown
% 9.80/2.63 % (21257)Termination phase: Saturation
% 9.80/2.63
% 9.80/2.63 % (21257)Memory used [KB]: 15735
% 9.80/2.63 % (21257)Time elapsed: 0.389 s
% 9.80/2.63 % (21257)Instructions burned: 1378 (million)
% 9.80/2.63 % (21257)------------------------------
% 9.80/2.63 % (21257)------------------------------
% 9.80/2.63 % (21290)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_21001 for (2986ds/501Mi)
% 9.80/2.63 % (21290)Refutation not found, incomplete strategy
% 9.80/2.63 % (21290)------------------------------
% 9.80/2.63 % (21290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.80/2.63 % (21290)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.63
% 9.80/2.63
% 9.80/2.63 % (21290)Memory used [KB]: 5500
% 9.80/2.63 % (21290)Time elapsed: 0.002 s
% 9.80/2.63 % (21290)Instructions burned: 4 (million)
% 9.80/2.63 % (21290)------------------------------
% 9.80/2.63 % (21290)------------------------------
% 9.80/2.64 % (21291)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_21001 for (2986ds/562Mi)
% 9.80/2.64 % (21291)Refutation not found, incomplete strategy
% 9.80/2.64 % (21291)------------------------------
% 9.80/2.64 % (21291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.80/2.64 % (21291)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.64
% 9.80/2.64
% 9.80/2.64 % (21291)Memory used [KB]: 5500
% 9.80/2.64 % (21291)Time elapsed: 0.001 s
% 9.80/2.64 % (21291)Instructions burned: 1 (million)
% 9.80/2.64 % (21291)------------------------------
% 9.80/2.64 % (21291)------------------------------
% 9.80/2.64 % (21292)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_21001 for (2986ds/406Mi)
% 9.80/2.65 % (21293)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_21001 for (2986ds/582Mi)
% 10.42/2.76 % (21292)Instruction limit reached!
% 10.42/2.76 % (21292)------------------------------
% 10.42/2.76 % (21292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.42/2.76 % (21292)Termination reason: Unknown
% 10.42/2.76 % (21292)Termination phase: Saturation
% 10.42/2.76
% 10.42/2.76 % (21292)Memory used [KB]: 6140
% 10.42/2.76 % (21292)Time elapsed: 0.117 s
% 10.42/2.76 % (21292)Instructions burned: 409 (million)
% 10.42/2.76 % (21292)------------------------------
% 10.42/2.76 % (21292)------------------------------
% 10.42/2.76 % (21273)Instruction limit reached!
% 10.42/2.76 % (21273)------------------------------
% 10.42/2.76 % (21273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.42/2.76 % (21273)Termination reason: Unknown
% 10.42/2.76 % (21273)Termination phase: Saturation
% 10.42/2.76
% 10.42/2.76 % (21273)Memory used [KB]: 7931
% 10.42/2.76 % (21273)Time elapsed: 0.172 s
% 10.42/2.76 % (21273)Instructions burned: 593 (million)
% 10.42/2.76 % (21273)------------------------------
% 10.42/2.76 % (21273)------------------------------
% 10.42/2.77 % (21294)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_21001 for (2985ds/456Mi)
% 10.42/2.77 % (21294)Refutation not found, incomplete strategy
% 10.42/2.77 % (21294)------------------------------
% 10.42/2.77 % (21294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.42/2.77 % (21294)Termination reason: Refutation not found, incomplete strategy
% 10.42/2.77
% 10.42/2.77
% 10.42/2.77 % (21294)Memory used [KB]: 5500
% 10.42/2.77 % (21294)Time elapsed: 0.002 s
% 10.42/2.77 % (21294)------------------------------
% 10.42/2.77 % (21294)------------------------------
% 10.42/2.77 % (21295)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_21001 for (2985ds/393Mi)
% 10.42/2.78 % (21296)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_21001 for (2985ds/1335Mi)
% 10.42/2.78 % (21296)Refutation not found, incomplete strategy
% 10.42/2.78 % (21296)------------------------------
% 10.42/2.78 % (21296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.42/2.78 % (21296)Termination reason: Refutation not found, incomplete strategy
% 10.42/2.78
% 10.42/2.78
% 10.42/2.78 % (21296)Memory used [KB]: 5500
% 10.42/2.78 % (21296)Time elapsed: 0.002 s
% 10.42/2.78 % (21296)Instructions burned: 1 (million)
% 10.42/2.78 % (21296)------------------------------
% 10.42/2.78 % (21296)------------------------------
% 10.42/2.78 % (21289)Instruction limit reached!
% 10.42/2.78 % (21289)------------------------------
% 10.42/2.78 % (21289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.42/2.78 % (21289)Termination reason: Unknown
% 10.42/2.78 % (21289)Termination phase: Saturation
% 10.42/2.78
% 10.42/2.78 % (21289)Memory used [KB]: 6396
% 10.42/2.78 % (21289)Time elapsed: 0.160 s
% 10.42/2.78 % (21289)Instructions burned: 570 (million)
% 10.42/2.78 % (21289)------------------------------
% 10.42/2.78 % (21289)------------------------------
% 10.42/2.79 % (21297)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_21001 for (2985ds/3373Mi)
% 10.42/2.79 % (21298)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_21001 for (2985ds/474Mi)
% 11.01/2.80 % (21293)Instruction limit reached!
% 11.01/2.80 % (21293)------------------------------
% 11.01/2.80 % (21293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.01/2.80 % (21293)Termination reason: Unknown
% 11.01/2.80 % (21293)Termination phase: Saturation
% 11.01/2.80
% 11.01/2.80 % (21293)Memory used [KB]: 5884
% 11.01/2.80 % (21293)Time elapsed: 0.158 s
% 11.01/2.80 % (21293)Instructions burned: 583 (million)
% 11.01/2.80 % (21293)------------------------------
% 11.01/2.80 % (21293)------------------------------
% 11.01/2.81 % (21299)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_21001 for (2985ds/157Mi)
% 11.01/2.86 % (21299)Instruction limit reached!
% 11.01/2.86 % (21299)------------------------------
% 11.01/2.86 % (21299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.01/2.86 % (21299)Termination reason: Unknown
% 11.01/2.86 % (21299)Termination phase: Saturation
% 11.01/2.86
% 11.01/2.86 % (21299)Memory used [KB]: 5756
% 11.01/2.86 % (21299)Time elapsed: 0.047 s
% 11.01/2.86 % (21299)Instructions burned: 157 (million)
% 11.01/2.86 % (21299)------------------------------
% 11.01/2.86 % (21299)------------------------------
% 11.01/2.87 % (21300)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_21001 for (2984ds/590Mi)
% 11.01/2.87 % (21300)Refutation not found, incomplete strategy
% 11.01/2.87 % (21300)------------------------------
% 11.01/2.87 % (21300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.01/2.87 % (21300)Termination reason: Refutation not found, incomplete strategy
% 11.01/2.87
% 11.01/2.87
% 11.01/2.87 % (21300)Memory used [KB]: 5500
% 11.01/2.87 % (21300)Time elapsed: 0.001 s
% 11.01/2.87 % (21300)Instructions burned: 1 (million)
% 11.01/2.87 % (21300)------------------------------
% 11.01/2.87 % (21300)------------------------------
% 11.01/2.87 % (21295)Instruction limit reached!
% 11.01/2.87 % (21295)------------------------------
% 11.01/2.87 % (21295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.01/2.87 % (21295)Termination reason: Unknown
% 11.01/2.87 % (21295)Termination phase: Saturation
% 11.01/2.87
% 11.01/2.87 % (21295)Memory used [KB]: 5756
% 11.01/2.87 % (21295)Time elapsed: 0.103 s
% 11.01/2.87 % (21295)Instructions burned: 395 (million)
% 11.01/2.87 % (21295)------------------------------
% 11.01/2.87 % (21295)------------------------------
% 11.01/2.88 % (21301)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_21001 for (2984ds/104Mi)
% 11.01/2.88 % (21301)Refutation not found, incomplete strategy
% 11.01/2.88 % (21301)------------------------------
% 11.01/2.88 % (21301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.01/2.88 % (21301)Termination reason: Refutation not found, incomplete strategy
% 11.01/2.88
% 11.01/2.88
% 11.01/2.88 % (21301)Memory used [KB]: 5500
% 11.01/2.88 % (21301)Time elapsed: 0.002 s
% 11.01/2.88 % (21301)Instructions burned: 4 (million)
% 11.01/2.88 % (21301)------------------------------
% 11.01/2.88 % (21301)------------------------------
% 11.01/2.88 % (21302)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_21001 for (2984ds/414Mi)
% 11.01/2.89 % (21303)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_21001 for (2984ds/715Mi)
% 11.46/2.93 % (21298)Instruction limit reached!
% 11.46/2.93 % (21298)------------------------------
% 11.46/2.93 % (21298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.46/2.93 % (21298)Termination reason: Unknown
% 11.46/2.93 % (21298)Termination phase: Saturation
% 11.46/2.93
% 11.46/2.93 % (21298)Memory used [KB]: 7036
% 11.46/2.93 % (21298)Time elapsed: 0.143 s
% 11.46/2.93 % (21298)Instructions burned: 476 (million)
% 11.46/2.93 % (21298)------------------------------
% 11.46/2.93 % (21298)------------------------------
% 11.46/2.94 % (21304)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_21001 for (2983ds/961Mi)
% 11.46/2.94 % (21304)Refutation not found, incomplete strategy
% 11.46/2.94 % (21304)------------------------------
% 11.46/2.94 % (21304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.46/2.94 % (21304)Termination reason: Refutation not found, incomplete strategy
% 11.46/2.94
% 11.46/2.94
% 11.46/2.94 % (21304)Memory used [KB]: 5500
% 11.46/2.94 % (21304)Time elapsed: 0.002 s
% 11.46/2.94 % (21304)Instructions burned: 1 (million)
% 11.46/2.94 % (21304)------------------------------
% 11.46/2.94 % (21304)------------------------------
% 11.46/2.95 % (21305)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_21001 for (2983ds/1213Mi)
% 11.46/2.99 % (21302)Instruction limit reached!
% 11.46/2.99 % (21302)------------------------------
% 11.46/2.99 % (21302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.46/2.99 % (21302)Termination reason: Unknown
% 11.46/2.99 % (21302)Termination phase: Saturation
% 11.46/2.99
% 11.46/2.99 % (21302)Memory used [KB]: 5756
% 11.46/2.99 % (21302)Time elapsed: 0.108 s
% 11.46/2.99 % (21302)Instructions burned: 414 (million)
% 11.46/2.99 % (21302)------------------------------
% 11.46/2.99 % (21302)------------------------------
% 11.46/3.00 % (21306)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_21001 for (2983ds/1979Mi)
% 13.62/3.04 % (21266)Instruction limit reached!
% 13.62/3.04 % (21266)------------------------------
% 13.62/3.04 % (21266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.62/3.04 % (21266)Termination reason: Unknown
% 13.62/3.04 % (21266)Termination phase: Saturation
% 13.62/3.04
% 13.62/3.04 % (21266)Memory used [KB]: 7291
% 13.62/3.04 % (21266)Time elapsed: 0.504 s
% 13.62/3.04 % (21266)Instructions burned: 1763 (million)
% 13.62/3.04 % (21266)------------------------------
% 13.62/3.04 % (21266)------------------------------
% 13.62/3.05 % (21307)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_21001 for (2982ds/481Mi)
% 13.62/3.09 % (21303)Instruction limit reached!
% 13.62/3.09 % (21303)------------------------------
% 13.62/3.09 % (21303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.62/3.09 % (21303)Termination reason: Unknown
% 13.62/3.09 % (21303)Termination phase: Saturation
% 13.62/3.09
% 13.62/3.09 % (21303)Memory used [KB]: 5117
% 13.62/3.09 % (21303)Time elapsed: 0.195 s
% 13.62/3.09 % (21303)Instructions burned: 715 (million)
% 13.62/3.09 % (21303)------------------------------
% 13.62/3.09 % (21303)------------------------------
% 13.62/3.10 % (21308)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_21001 for (2982ds/783Mi)
% 13.62/3.10 % (21308)Refutation not found, incomplete strategy
% 13.62/3.10 % (21308)------------------------------
% 13.62/3.10 % (21308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.62/3.10 % (21308)Termination reason: Refutation not found, incomplete strategy
% 13.62/3.10
% 13.62/3.10
% 13.62/3.10 % (21308)Memory used [KB]: 5500
% 13.62/3.10 % (21308)Time elapsed: 0.002 s
% 13.62/3.10 % (21308)Instructions burned: 3 (million)
% 13.62/3.10 % (21308)------------------------------
% 13.62/3.10 % (21308)------------------------------
% 13.62/3.11 % (21309)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_21001 for (2982ds/432Mi)
% 13.62/3.11 % (21309)Refutation not found, incomplete strategy
% 13.62/3.11 % (21309)------------------------------
% 13.62/3.11 % (21309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.62/3.11 % (21309)Termination reason: Refutation not found, incomplete strategy
% 13.62/3.11
% 13.62/3.11
% 13.62/3.11 % (21309)Memory used [KB]: 5500
% 13.62/3.11 % (21309)Time elapsed: 0.001 s
% 13.62/3.11 % (21309)Instructions burned: 1 (million)
% 13.62/3.11 % (21309)------------------------------
% 13.62/3.11 % (21309)------------------------------
% 14.27/3.12 % (21310)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_21001 for (2982ds/1670Mi)
% 14.27/3.19 % (21307)Instruction limit reached!
% 14.27/3.19 % (21307)------------------------------
% 14.27/3.19 % (21307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.27/3.19 % (21307)Termination reason: Unknown
% 14.27/3.19 % (21307)Termination phase: Saturation
% 14.27/3.19
% 14.27/3.19 % (21307)Memory used [KB]: 6268
% 14.27/3.19 % (21307)Time elapsed: 0.165 s
% 14.27/3.19 % (21307)Instructions burned: 483 (million)
% 14.27/3.19 % (21307)------------------------------
% 14.27/3.19 % (21307)------------------------------
% 14.83/3.20 % (21311)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_21001 for (2981ds/90Mi)
% 14.83/3.22 % (21311)Instruction limit reached!
% 14.83/3.22 % (21311)------------------------------
% 14.83/3.22 % (21311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.83/3.22 % (21311)Termination reason: Unknown
% 14.83/3.22 % (21311)Termination phase: Saturation
% 14.83/3.22
% 14.83/3.22 % (21311)Memory used [KB]: 5756
% 14.83/3.22 % (21311)Time elapsed: 0.052 s
% 14.83/3.22 % (21311)Instructions burned: 92 (million)
% 14.83/3.22 % (21311)------------------------------
% 14.83/3.22 % (21311)------------------------------
% 14.83/3.23 % (21312)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_21001 for (2980ds/346Mi)
% 14.83/3.29 % (21305)Instruction limit reached!
% 14.83/3.29 % (21305)------------------------------
% 14.83/3.29 % (21305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.83/3.29 % (21305)Termination reason: Unknown
% 14.83/3.29 % (21305)Termination phase: Saturation
% 14.83/3.29
% 14.83/3.29 % (21305)Memory used [KB]: 6524
% 14.83/3.29 % (21305)Time elapsed: 0.360 s
% 14.83/3.29 % (21305)Instructions burned: 1216 (million)
% 14.83/3.29 % (21305)------------------------------
% 14.83/3.29 % (21305)------------------------------
% 15.38/3.30 % (21313)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_21001 for (2980ds/401Mi)
% 15.38/3.33 % (21230)Instruction limit reached!
% 15.38/3.33 % (21230)------------------------------
% 15.38/3.33 % (21230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.38/3.33 % (21230)Termination reason: Unknown
% 15.38/3.33 % (21230)Termination phase: Saturation
% 15.38/3.33
% 15.38/3.33 % (21230)Memory used [KB]: 19573
% 15.38/3.33 % (21230)Time elapsed: 1.516 s
% 15.38/3.33 % (21230)Instructions burned: 5206 (million)
% 15.38/3.33 % (21230)------------------------------
% 15.38/3.33 % (21230)------------------------------
% 15.38/3.34 % (21312)Instruction limit reached!
% 15.38/3.34 % (21312)------------------------------
% 15.38/3.34 % (21312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.38/3.34 % (21312)Termination reason: Unknown
% 15.38/3.34 % (21312)Termination phase: Saturation
% 15.38/3.34
% 15.38/3.34 % (21312)Memory used [KB]: 6524
% 15.38/3.34 % (21312)Time elapsed: 0.103 s
% 15.38/3.34 % (21312)Instructions burned: 346 (million)
% 15.38/3.34 % (21312)------------------------------
% 15.38/3.34 % (21312)------------------------------
% 15.38/3.34 % (21314)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_21001 for (2979ds/6454Mi)
% 15.38/3.34 % (21314)Refutation not found, incomplete strategy
% 15.38/3.34 % (21314)------------------------------
% 15.38/3.34 % (21314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.38/3.34 % (21314)Termination reason: Refutation not found, incomplete strategy
% 15.38/3.34
% 15.38/3.34
% 15.38/3.34 % (21314)Memory used [KB]: 5500
% 15.38/3.34 % (21314)Time elapsed: 0.002 s
% 15.38/3.34 % (21314)Instructions burned: 1 (million)
% 15.38/3.34 % (21314)------------------------------
% 15.38/3.34 % (21314)------------------------------
% 15.38/3.35 % (21315)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_21001 for (2979ds/283Mi)
% 15.38/3.35 % (21316)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_21001 for (2979ds/865Mi)
% 15.38/3.35 % (21316)Refutation not found, incomplete strategy
% 15.38/3.35 % (21316)------------------------------
% 15.38/3.35 % (21316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.38/3.35 % (21316)Termination reason: Refutation not found, incomplete strategy
% 15.38/3.35
% 15.38/3.35
% 15.38/3.35 % (21316)Memory used [KB]: 5500
% 15.38/3.35 % (21316)Time elapsed: 0.003 s
% 15.38/3.35 % (21316)Instructions burned: 7 (million)
% 15.38/3.35 % (21316)------------------------------
% 15.38/3.35 % (21316)------------------------------
% 15.38/3.36 % (21317)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_21001 for (2979ds/4528Mi)
% 15.38/3.36 % (21317)Refutation not found, incomplete strategy
% 15.38/3.36 % (21317)------------------------------
% 15.38/3.36 % (21317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.38/3.36 % (21317)Termination reason: Refutation not found, incomplete strategy
% 15.38/3.36
% 15.38/3.36
% 15.38/3.36 % (21317)Memory used [KB]: 1023
% 15.38/3.36 % (21317)Time elapsed: 0.001 s
% 15.38/3.36 % (21317)Instructions burned: 1 (million)
% 15.38/3.36 % (21317)------------------------------
% 15.38/3.36 % (21317)------------------------------
% 15.38/3.37 % (21318)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_21001 for (2979ds/1001Mi)
% 15.88/3.41 % (21313)Instruction limit reached!
% 15.88/3.41 % (21313)------------------------------
% 15.88/3.41 % (21313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.88/3.41 % (21313)Termination reason: Unknown
% 15.88/3.41 % (21313)Termination phase: Saturation
% 15.88/3.41
% 15.88/3.41 % (21313)Memory used [KB]: 9338
% 15.88/3.41 % (21313)Time elapsed: 0.112 s
% 15.88/3.41 % (21313)Instructions burned: 401 (million)
% 15.88/3.41 % (21313)------------------------------
% 15.88/3.41 % (21313)------------------------------
% 15.88/3.42 % (21319)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_21001 for (2978ds/102Mi)
% 15.88/3.42 % (21306)First to succeed.
% 15.88/3.42 % (21315)Instruction limit reached!
% 15.88/3.42 % (21315)------------------------------
% 15.88/3.42 % (21315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.88/3.42 % (21315)Termination reason: Unknown
% 15.88/3.42 % (21315)Termination phase: Saturation
% 15.88/3.42
% 15.88/3.42 % (21315)Memory used [KB]: 7803
% 15.88/3.42 % (21315)Time elapsed: 0.078 s
% 15.88/3.42 % (21315)Instructions burned: 284 (million)
% 15.88/3.42 % (21315)------------------------------
% 15.88/3.42 % (21315)------------------------------
% 15.88/3.43 % (21306)Refutation found. Thanks to Tanya!
% 15.88/3.43 % SZS status Theorem for DTF2THF_21001
% 15.88/3.43 % SZS output start Proof for DTF2THF_21001
% 15.88/3.43 thf(type_def_5, type, qML_mu: $tType).
% 15.88/3.43 thf(type_def_6, type, qML_i: $tType).
% 15.88/3.43 thf(func_def_0, type, qML_mu: $tType).
% 15.88/3.43 thf(func_def_1, type, qML_i: $tType).
% 15.88/3.43 thf(func_def_2, type, inconsistency_G: qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_3, type, incons1905966852QML_mu: qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_4, type, inconsistency_P: (qML_mu > qML_i > $o) > qML_i > $o).
% 15.88/3.43 thf(func_def_5, type, incons1389517216QML_mu: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_6, type, qML_r: qML_i > qML_i > $o).
% 15.88/3.43 thf(func_def_19, type, sK0: qML_i > (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_20, type, sK1: qML_i > (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_25, type, ph3: !>[X0: $tType]:(X0)).
% 15.88/3.43 thf(func_def_26, type, sK4: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_27, type, sK5: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_28, type, sK6: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_29, type, sK7: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_30, type, sK8: qML_mu).
% 15.88/3.43 thf(func_def_31, type, sK9: qML_i).
% 15.88/3.43 thf(func_def_32, type, sK10: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_33, type, sK11: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_34, type, sK12: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_35, type, sK13: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_36, type, sK14: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_37, type, sK15: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_38, type, sK16: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_39, type, sK17: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_40, type, sK18: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_41, type, sK19: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_42, type, sK20: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_43, type, sK21: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_44, type, sK22: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_45, type, sK23: qML_mu).
% 15.88/3.43 thf(func_def_46, type, sK24: qML_i).
% 15.88/3.43 thf(func_def_47, type, sK25: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_48, type, sK26: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_49, type, sK27: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_50, type, sK28: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_51, type, sK29: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_52, type, sK30: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_53, type, sK31: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_54, type, sK32: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_55, type, sK33: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_56, type, sK34: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_57, type, sK35: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_58, type, sK36: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_59, type, sK37: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_60, type, sK38: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_61, type, sK39: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_62, type, sK40: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_63, type, sK41: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_64, type, sK42: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_65, type, sK43: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_66, type, sK44: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_67, type, sK45: qML_mu).
% 15.88/3.43 thf(func_def_68, type, sK46: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_69, type, sK47: qML_i).
% 15.88/3.43 thf(func_def_70, type, sK48: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_71, type, sK49: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_72, type, sK50: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_73, type, sK51: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_74, type, sK52: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_75, type, sK53: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_76, type, sK54: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_77, type, sK55: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_78, type, sK56: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_79, type, sK57: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_80, type, sK58: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_81, type, sK59: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_82, type, sK60: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_83, type, sK61: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_84, type, sK62: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_85, type, sK63: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_86, type, sK64: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_87, type, sK65: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_88, type, sK66: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_89, type, sK67: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_90, type, sK68: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_91, type, sK69: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_92, type, sK70: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_93, type, sK71: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.88/3.43 thf(func_def_94, type, sK72: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_95, type, sK73: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_96, type, sK74: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_97, type, sK75: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_98, type, sK76: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_99, type, sK77: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_100, type, sK78: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_101, type, sK79: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_102, type, sK80: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_103, type, sK81: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_104, type, sK82: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_105, type, sK83: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_106, type, sK84: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_107, type, sK85: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.88/3.43 thf(func_def_108, type, sK86: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_109, type, sK87: (qML_mu > qML_i > $o) > qML_i).
% 15.88/3.43 thf(func_def_110, type, sK88: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_111, type, sK89: (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_112, type, sK90: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(func_def_113, type, sK91: qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.88/3.43 thf(f3094,plain,(
% 15.88/3.43 $false),
% 15.88/3.43 inference(avatar_sat_refutation,[status(thm)],[f752,f1867,f2244,f2406,f3092])).
% 15.88/3.43 thf(f3092,plain,(
% 15.88/3.43 spl2_50 | spl2_4),
% 15.88/3.43 inference(avatar_split_clause,[status(thm)],[f3085,f144,f2251])).
% 15.88/3.43 thf(f2251,definition,(
% 15.88/3.43 spl2_50 <=> ! [X0 : qML_i] : (($true != (qML_r @ sK47 @ X0)) | ($false = (qML_r @ sK47 @ X0)))),
% 15.88/3.43 introduced(definition,[new_symbols(naming,[spl2_50])],[avatar_definition])).
% 15.88/3.43 thf(f144,definition,(
% 15.88/3.43 spl2_4 <=> ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))),
% 15.88/3.43 introduced(definition,[new_symbols(naming,[spl2_4])],[avatar_definition])).
% 15.88/3.43 thf(f3085,plain,(
% 15.88/3.43 ( ! [X0 : qML_i] : (($true != (qML_r @ sK47 @ X0)) | ($false = (qML_r @ sK47 @ X0))) ) | spl2_4),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f3084])).
% 15.88/3.43 thf(f3084,plain,(
% 15.88/3.43 ( ! [X0 : qML_i] : (($false = (qML_r @ sK47 @ X0)) | ($true != (qML_r @ sK47 @ X0)) | ($false = $true)) ) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f3056])).
% 15.88/3.43 thf(f3056,plain,(
% 15.88/3.43 ( ! [X0 : qML_i] : (($false = (qML_r @ sK47 @ X0)) | ($true = ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK49 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X0) @ X0)) | ($true != (qML_r @ sK47 @ X0))) ) | spl2_4),
% 15.88/3.43 inference(equality_factoring,[status(thm)],[f853])).
% 15.88/3.43 thf(f853,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($true = (X1 @ (sK51 @ X1) @ (sK50 @ X1))) | ($true = (X1 @ (sK49 @ X1 @ X2) @ X2)) | ($false = (qML_r @ sK47 @ X2))) ) | spl2_4),
% 15.88/3.43 inference(binary_proxy_clausification,[status(thm)],[f851])).
% 15.88/3.43 thf(f851,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($true = (X1 @ (sK49 @ X1 @ X2) @ X2)) | ($false = (qML_r @ sK47 @ X2)) | ($false = ((X1 @ (sK51 @ X1) @ (sK50 @ X1)) => (sK48 @ X1 @ (sK51 @ X1) @ (sK50 @ X1))))) ) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f850])).
% 15.88/3.43 thf(f850,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($true = (X1 @ (sK49 @ X1 @ X2) @ X2)) | ($false = (qML_r @ sK47 @ X2)) | ($false = ((^[Y0 : qML_mu]: ((X1 @ Y0 @ (sK50 @ X1)) => (sK48 @ X1 @ Y0 @ (sK50 @ X1)))) @ (sK51 @ X1)))) ) | spl2_4),
% 15.88/3.43 inference(sigma_clausification,[status(thm)],[f848])).
% 15.88/3.43 thf(f848,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (qML_r @ sK47 @ X2)) | ($false = (!! @ qML_mu @ (^[Y0 : qML_mu]: ((X1 @ Y0 @ (sK50 @ X1)) => (sK48 @ X1 @ Y0 @ (sK50 @ X1)))))) | ($true = (X1 @ (sK49 @ X1 @ X2) @ X2))) ) | spl2_4),
% 15.88/3.43 inference(binary_proxy_clausification,[status(thm)],[f847])).
% 15.88/3.43 thf(f847,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (qML_r @ sK47 @ X2)) | ($true = (X1 @ (sK49 @ X1 @ X2) @ X2)) | ($false = ((qML_r @ sK47 @ (sK50 @ X1)) => (!! @ qML_mu @ (^[Y0 : qML_mu]: ((X1 @ Y0 @ (sK50 @ X1)) => (sK48 @ X1 @ Y0 @ (sK50 @ X1)))))))) ) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f846])).
% 15.88/3.43 thf(f846,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($true = (X1 @ (sK49 @ X1 @ X2) @ X2)) | ($false = (qML_r @ sK47 @ X2)) | ($false = ((^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK48 @ X1 @ Y1 @ Y0)))))) @ (sK50 @ X1)))) ) | spl2_4),
% 15.88/3.43 inference(sigma_clausification,[status(thm)],[f844])).
% 15.88/3.43 thf(f844,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (qML_r @ sK47 @ X2)) | ($false = (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK48 @ X1 @ Y1 @ Y0)))))))) | ($true = (X1 @ (sK49 @ X1 @ X2) @ X2))) ) | spl2_4),
% 15.88/3.43 inference(binary_proxy_clausification,[status(thm)],[f843])).
% 15.88/3.43 thf(f843,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : ((((sK48 @ X1 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK48 @ X1 @ Y1 @ Y0)))))))) = $false) | ($true = (X1 @ (sK49 @ X1 @ X2) @ X2)) | ($false = (qML_r @ sK47 @ X2))) ) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f842])).
% 15.88/3.43 thf(f842,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : ((((sK48 @ X1 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK48 @ X1 @ Y1 @ Y0)))))))) = $false) | ($true = ((^[Y0 : qML_mu]: (X1 @ Y0 @ X2)) @ (sK49 @ X1 @ X2))) | ($false = (qML_r @ sK47 @ X2))) ) | spl2_4),
% 15.88/3.43 inference(sigma_clausification,[status(thm)],[f841])).
% 15.88/3.43 thf(f841,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (((?? @ qML_mu @ (^[Y0 : qML_mu]: (X1 @ Y0 @ X2))) = $true) | (((sK48 @ X1 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK48 @ X1 @ Y1 @ Y0)))))))) = $false) | ($false = (qML_r @ sK47 @ X2))) ) | spl2_4),
% 15.88/3.43 inference(binary_proxy_clausification,[status(thm)],[f840])).
% 15.88/3.43 thf(f840,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : ((((qML_r @ sK47 @ X2) => (?? @ qML_mu @ (^[Y0 : qML_mu]: (X1 @ Y0 @ X2)))) = $true) | (((sK48 @ X1 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK48 @ X1 @ Y1 @ Y0)))))))) = $false)) ) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f839])).
% 15.88/3.43 thf(f839,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : ((((sK48 @ X1 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK48 @ X1 @ Y1 @ Y0)))))))) = $false) | ($true = ((^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X1 @ Y1 @ Y0))))) @ X2))) ) | spl2_4),
% 15.88/3.43 inference(pi_clausification,[status(thm)],[f838])).
% 15.88/3.43 thf(f838,plain,(
% 15.88/3.43 ( ! [X1 : qML_mu > qML_i > $o] : (((!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X1 @ Y1 @ Y0)))))) = $true) | (((sK48 @ X1 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK48 @ X1 @ Y1 @ Y0)))))))) = $false)) ) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f837])).
% 15.88/3.43 thf(f837,plain,(
% 15.88/3.43 ( ! [X1 : qML_mu > qML_i > $o] : (($false = ((^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK47 @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))) @ (sK48 @ X1))) | ((!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X1 @ Y1 @ Y0)))))) = $true)) ) | spl2_4),
% 15.88/3.43 inference(sigma_clausification,[status(thm)],[f836])).
% 15.88/3.43 thf(f836,plain,(
% 15.88/3.43 ( ! [X1 : qML_mu > qML_i > $o] : (($false = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK47 @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))))) | ((!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X1 @ Y1 @ Y0)))))) = $true)) ) | spl2_4),
% 15.88/3.43 inference(binary_proxy_clausification,[status(thm)],[f835])).
% 15.88/3.43 thf(f835,plain,(
% 15.88/3.43 ( ! [X1 : qML_mu > qML_i > $o] : ((((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK47 @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK47 @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X1 @ Y1 @ Y0))))))) = $true)) ) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f834])).
% 15.88/3.43 thf(f834,plain,(
% 15.88/3.43 ( ! [X1 : qML_mu > qML_i > $o] : (($true = ((^[Y0 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y2 : qML_i]: ((qML_r @ sK47 @ Y2) => (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK47 @ Y1) => (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1)))))))) @ X1))) ) | spl2_4),
% 15.88/3.43 inference(pi_clausification,[status(thm)],[f833])).
% 15.88/3.43 thf(f833,plain,(
% 15.88/3.43 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ sK45 @ sK47) => (!! @ qML_i @ (^[Y2 : qML_i]: ((qML_r @ sK47 @ Y2) => (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK47 @ Y1) => (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1))))))))) = $true) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f832])).
% 15.88/3.43 thf(f832,plain,(
% 15.88/3.43 ($true = ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ sK45 @ sK47)) | spl2_4),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f814])).
% 15.88/3.43 thf(f814,plain,(
% 15.88/3.43 ($false = $true) | ($true = ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ sK45 @ sK47)) | spl2_4),
% 15.88/3.43 inference(superposition,[status(thm)],[f56,f803])).
% 15.88/3.43 thf(f803,plain,(
% 15.88/3.43 ( ! [X1 : qML_mu > qML_i > $o] : (($false = (inconsistency_P @ X1 @ sK47)) | ($true = (X1 @ sK45 @ sK47))) ) | spl2_4),
% 15.88/3.43 inference(binary_proxy_clausification,[status(thm)],[f802])).
% 15.88/3.43 thf(f802,plain,(
% 15.88/3.43 ( ! [X1 : qML_mu > qML_i > $o] : (($true = ((inconsistency_P @ X1 @ sK47) => (X1 @ sK45 @ sK47)))) ) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f801])).
% 15.88/3.43 thf(f801,plain,(
% 15.88/3.43 ( ! [X1 : qML_mu > qML_i > $o] : (($true = ((^[Y0 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y0 @ sK47) => (Y0 @ sK45 @ sK47))) @ X1))) ) | spl2_4),
% 15.88/3.43 inference(pi_clausification,[status(thm)],[f800])).
% 15.88/3.43 thf(f800,plain,(
% 15.88/3.43 ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y0 @ sK47) => (Y0 @ sK45 @ sK47)))) != $false) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f799])).
% 15.88/3.43 thf(f799,plain,(
% 15.88/3.43 (((^[Y0 : qML_i]: ($false)) @ sK47) != ((^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y1 @ Y0) => (Y1 @ sK45 @ Y0))))) @ sK47)) | spl2_4),
% 15.88/3.43 inference(negative_extensionality,[status(thm)],[f796])).
% 15.88/3.43 thf(f796,plain,(
% 15.88/3.43 ((^[Y0 : qML_i]: ($false)) != (^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y1 @ Y0) => (Y1 @ sK45 @ Y0)))))) | spl2_4),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f795])).
% 15.88/3.43 thf(f795,plain,(
% 15.88/3.43 (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ sK45) != ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ sK45)) | spl2_4),
% 15.88/3.43 inference(negative_extensionality,[status(thm)],[f146])).
% 15.88/3.43 thf(f146,plain,(
% 15.88/3.43 ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) | spl2_4),
% 15.88/3.43 inference(avatar_component_clause,[status(thm)],[f144])).
% 15.88/3.43 thf(f56,plain,(
% 15.88/3.43 ( ! [X0 : qML_i] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ X0) = $true)) )),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f54])).
% 15.88/3.43 thf(f54,plain,(
% 15.88/3.43 ( ! [X0 : qML_i] : (($true = (inconsistency_P @ (^[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]: (!! @ (qML_mu > qML_i > $o) @ (^[Y6 : qML_mu > qML_i > $o]: ((Y6 @ Y4 @ Y5) => (!! @ qML_i @ (^[Y7 : qML_i]: ((qML_r @ Y5 @ Y7) => (!! @ qML_mu @ (^[Y8 : qML_mu]: ((Y3 @ Y8 @ Y7) => (Y6 @ Y8 @ Y7))))))))))))))) @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ X0))) )),
% 15.88/3.43 inference(definition_unfolding,[status(thm)],[f44,f53])).
% 15.88/3.43 thf(f53,plain,(
% 15.88/3.43 (incons1905966852QML_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]: (!! @ (qML_mu > qML_i > $o) @ (^[Y6 : qML_mu > qML_i > $o]: ((Y6 @ Y4 @ Y5) => (!! @ qML_i @ (^[Y7 : qML_i]: ((qML_r @ Y5 @ Y7) => (!! @ qML_mu @ (^[Y8 : qML_mu]: ((Y3 @ Y8 @ Y7) => (Y6 @ Y8 @ Y7))))))))))))))) @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))),
% 15.88/3.43 inference(definition_unfolding,[status(thm)],[f43,f42])).
% 15.88/3.43 thf(f42,plain,(
% 15.88/3.43 (incons1389517216QML_mu = (^[Y0 : qML_mu > qML_i > $o]: ((^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))))))))))),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f26])).
% 15.88/3.43 thf(f26,plain,(
% 15.88/3.43 (incons1389517216QML_mu = (^[Y0 : qML_mu > qML_i > $o]: ((^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))))))))))),
% 15.88/3.43 inference(fool_elimination,[status(thm)],[f25])).
% 15.88/3.43 thf(f25,plain,(
% 15.88/3.43 ((^[X0 : qML_mu > qML_i > $o, X1 : qML_mu, X2 : qML_i] : (! [X3 : qML_mu > qML_i > $o] : ((X3 @ X1 @ X2) => ! [X4 : qML_i] : ((qML_r @ X2 @ X4) => ! [X5 : qML_mu] : ((X0 @ X5 @ X4) => (X3 @ X5 @ X4)))))) = incons1389517216QML_mu)),
% 15.88/3.43 inference(rectify,[status(thm)],[f9])).
% 15.88/3.43 thf(f9,axiom,(
% 15.88/3.43 ((^[X12 : qML_mu > qML_i > $o, X9 : qML_mu, X10 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((X2 @ X9 @ X10) => ! [X11 : qML_i] : ((qML_r @ X10 @ X11) => ! [X3 : qML_mu] : ((X12 @ X3 @ X11) => (X2 @ X3 @ X11)))))) = incons1389517216QML_mu)),
% 15.88/3.43 file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_8_ess__def)).
% 15.88/3.43 thf(f43,plain,(
% 15.88/3.43 (incons1905966852QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f24])).
% 15.88/3.43 thf(f24,plain,(
% 15.88/3.43 (incons1905966852QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))),
% 15.88/3.43 inference(fool_elimination,[status(thm)],[f23])).
% 15.88/3.43 thf(f23,plain,(
% 15.88/3.43 (incons1905966852QML_mu = (^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((incons1389517216QML_mu @ X2 @ X0 @ X1) => ! [X3 : qML_i] : ((qML_r @ X1 @ X3) => ? [X4 : qML_mu] : (X2 @ X4 @ X3))))))),
% 15.88/3.43 inference(rectify,[status(thm)],[f8])).
% 15.88/3.43 thf(f8,axiom,(
% 15.88/3.43 (incons1905966852QML_mu = (^[X9 : qML_mu, X10 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((incons1389517216QML_mu @ X2 @ X9 @ X10) => ! [X11 : qML_i] : ((qML_r @ X10 @ X11) => ? [X3 : qML_mu] : (X2 @ X3 @ X11))))))),
% 15.88/3.43 file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_7_NE__def)).
% 15.88/3.43 thf(f44,plain,(
% 15.88/3.43 ( ! [X0 : qML_i] : (((inconsistency_P @ incons1905966852QML_mu @ X0) = $true)) )),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f16])).
% 15.88/3.43 thf(f16,plain,(
% 15.88/3.43 ! [X0 : qML_i] : ((inconsistency_P @ incons1905966852QML_mu @ X0) = $true)),
% 15.88/3.43 inference(fool_elimination,[status(thm)],[f15])).
% 15.88/3.43 thf(f15,plain,(
% 15.88/3.43 ! [X0 : qML_i] : (inconsistency_P @ incons1905966852QML_mu @ X0)),
% 15.88/3.43 inference(rectify,[status(thm)],[f6])).
% 15.88/3.43 thf(f6,axiom,(
% 15.88/3.43 ! [X7 : qML_i] : (inconsistency_P @ incons1905966852QML_mu @ X7)),
% 15.88/3.43 file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_5_A5)).
% 15.88/3.43 thf(f2406,plain,(
% 15.88/3.43 spl2_26 | spl2_27 | ~spl2_50),
% 15.88/3.43 inference(avatar_split_clause,[status(thm)],[f2397,f2251,f1158,f1155])).
% 15.88/3.43 thf(f1155,definition,(
% 15.88/3.43 spl2_26 <=> ! [X1 : qML_mu > qML_i > $o] : ($true != (inconsistency_P @ X1 @ sK47))),
% 15.88/3.43 introduced(definition,[new_symbols(naming,[spl2_26])],[avatar_definition])).
% 15.88/3.43 thf(f1158,definition,(
% 15.88/3.43 spl2_27 <=> ! [X0 : qML_mu > qML_i > $o] : ((inconsistency_P @ X0 @ sK47) = $true)),
% 15.88/3.43 introduced(definition,[new_symbols(naming,[spl2_27])],[avatar_definition])).
% 15.88/3.43 thf(f2397,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ X0 @ sK47) = $true) | ($true != (inconsistency_P @ X1 @ sK47))) ) | ~spl2_50),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f2392])).
% 15.88/3.43 thf(f2392,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ X0 @ sK47) = $true) | ($true != (inconsistency_P @ X1 @ sK47)) | ($true != $true) | ($false = $true)) ) | ~spl2_50),
% 15.88/3.43 inference(superposition,[status(thm)],[f2252,f47])).
% 15.88/3.43 thf(f47,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o] : (((qML_r @ X2 @ (sK0 @ X2 @ X1 @ X0)) = $true) | ($true != (inconsistency_P @ X0 @ X2)) | ((inconsistency_P @ X1 @ X2) = $true)) )),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f41])).
% 15.88/3.43 thf(f41,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o,X2 : qML_i] : (((inconsistency_P @ X1 @ X2) = $true) | ((($true != (X1 @ (sK1 @ X2 @ X1 @ X0) @ (sK0 @ X2 @ X1 @ X0))) & ((X0 @ (sK1 @ X2 @ X1 @ X0) @ (sK0 @ X2 @ X1 @ X0)) = $true)) & ((qML_r @ X2 @ (sK0 @ X2 @ X1 @ X0)) = $true)) | ($true != (inconsistency_P @ X0 @ X2)))),
% 15.88/3.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f36,f40,f39])).
% 15.88/3.43 thf(f39,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o,X2 : qML_i] : (? [X3 : qML_i] : (? [X4 : qML_mu] : (((X1 @ X4 @ X3) != $true) & ((X0 @ X4 @ X3) = $true)) & ((qML_r @ X2 @ X3) = $true)) => (? [X4 : qML_mu] : (((X1 @ X4 @ (sK0 @ X2 @ X1 @ X0)) != $true) & ((X0 @ X4 @ (sK0 @ X2 @ X1 @ X0)) = $true)) & ((qML_r @ X2 @ (sK0 @ X2 @ X1 @ X0)) = $true)))),
% 15.88/3.43 introduced(definition,[],[choice_axiom])).
% 15.88/3.43 thf(f40,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o,X2 : qML_i] : (? [X4 : qML_mu] : (((X1 @ X4 @ (sK0 @ X2 @ X1 @ X0)) != $true) & ((X0 @ X4 @ (sK0 @ X2 @ X1 @ X0)) = $true)) => (($true != (X1 @ (sK1 @ X2 @ X1 @ X0) @ (sK0 @ X2 @ X1 @ X0))) & ((X0 @ (sK1 @ X2 @ X1 @ X0) @ (sK0 @ X2 @ X1 @ X0)) = $true)))),
% 15.88/3.43 introduced(definition,[],[choice_axiom])).
% 15.88/3.43 thf(f36,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o,X2 : qML_i] : (((inconsistency_P @ X1 @ X2) = $true) | ? [X3 : qML_i] : (? [X4 : qML_mu] : (((X1 @ X4 @ X3) != $true) & ((X0 @ X4 @ X3) = $true)) & ((qML_r @ X2 @ X3) = $true)) | ($true != (inconsistency_P @ X0 @ X2)))),
% 15.88/3.43 inference(flattening,[status(thm)],[f35])).
% 15.88/3.43 thf(f35,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o,X2 : qML_i] : (((inconsistency_P @ X1 @ X2) = $true) | (? [X3 : qML_i] : (? [X4 : qML_mu] : (((X1 @ X4 @ X3) != $true) & ((X0 @ X4 @ X3) = $true)) & ((qML_r @ X2 @ X3) = $true)) | ($true != (inconsistency_P @ X0 @ X2))))),
% 15.88/3.43 inference(ennf_transformation,[status(thm)],[f30])).
% 15.88/3.43 thf(f30,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o,X2 : qML_i] : ((! [X3 : qML_i] : (((qML_r @ X2 @ X3) = $true) => ! [X4 : qML_mu] : (((X0 @ X4 @ X3) = $true) => ((X1 @ X4 @ X3) = $true))) & ($true = (inconsistency_P @ X0 @ X2))) => ((inconsistency_P @ X1 @ X2) = $true))),
% 15.88/3.43 inference(fool_elimination,[status(thm)],[f29])).
% 15.88/3.43 thf(f29,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o,X2 : qML_i] : ((! [X3 : qML_i] : ((qML_r @ X2 @ X3) => ! [X4 : qML_mu] : ((X0 @ X4 @ X3) => (X1 @ X4 @ X3))) & (inconsistency_P @ X0 @ X2)) => (inconsistency_P @ X1 @ X2))),
% 15.88/3.43 inference(rectify,[status(thm)],[f3])).
% 15.88/3.43 thf(f3,axiom,(
% 15.88/3.43 ! [X1 : qML_mu > qML_i > $o,X4 : qML_mu > qML_i > $o,X0 : qML_i] : ((! [X5 : qML_i] : ((qML_r @ X0 @ X5) => ! [X6 : qML_mu] : ((X1 @ X6 @ X5) => (X4 @ X6 @ X5))) & (inconsistency_P @ X1 @ X0)) => (inconsistency_P @ X4 @ X0))),
% 15.88/3.43 file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_2_A2)).
% 15.88/3.43 thf(f2252,plain,(
% 15.88/3.43 ( ! [X0 : qML_i] : (($false = (qML_r @ sK47 @ X0)) | ($true != (qML_r @ sK47 @ X0))) ) | ~spl2_50),
% 15.88/3.43 inference(avatar_component_clause,[status(thm)],[f2251])).
% 15.88/3.43 thf(f2244,plain,(
% 15.88/3.43 ~spl2_27),
% 15.88/3.43 inference(avatar_contradiction_clause,[status(thm)],[f2243])).
% 15.88/3.43 thf(f2243,plain,(
% 15.88/3.43 $false | ~spl2_27),
% 15.88/3.43 inference(subsumption_resolution,[status(thm)],[f2223,f1159])).
% 15.88/3.43 thf(f1159,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o] : (((inconsistency_P @ X0 @ sK47) = $true)) ) | ~spl2_27),
% 15.88/3.43 inference(avatar_component_clause,[status(thm)],[f1158])).
% 15.88/3.43 thf(f2223,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o] : (((inconsistency_P @ X0 @ sK47) != $true)) ) | ~spl2_27),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f2208])).
% 15.88/3.43 thf(f2208,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o] : (($true != $true) | ((inconsistency_P @ X0 @ sK47) != $true)) ) | ~spl2_27),
% 15.88/3.43 inference(superposition,[status(thm)],[f45,f1159])).
% 15.88/3.43 thf(f45,plain,(
% 15.88/3.43 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($true != (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X1 @ Y0 @ Y1))))) @ X0)) | ((inconsistency_P @ X1 @ X0) != $true)) )),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f34])).
% 15.88/3.43 thf(f34,plain,(
% 15.88/3.43 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ X1 @ X0) != $true) | ($true != (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X1 @ Y0 @ Y1))))) @ X0)))),
% 15.88/3.43 inference(ennf_transformation,[status(thm)],[f32])).
% 15.88/3.43 thf(f32,plain,(
% 15.88/3.43 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X1 @ Y0 @ Y1))))) @ X0)) => ((inconsistency_P @ X1 @ X0) != $true))),
% 15.88/3.43 inference(flattening,[status(thm)],[f22])).
% 15.88/3.43 thf(f22,plain,(
% 15.88/3.43 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X1 @ Y0 @ Y1))))) @ X0)) => ~((inconsistency_P @ X1 @ X0) = $true))),
% 15.88/3.43 inference(fool_elimination,[status(thm)],[f21])).
% 15.88/3.43 thf(f21,plain,(
% 15.88/3.43 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : ((inconsistency_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X1 @ X2 @ X3))) @ X0) => ~(inconsistency_P @ X1 @ X0))),
% 15.88/3.43 inference(rectify,[status(thm)],[f1])).
% 15.88/3.43 thf(f1,axiom,(
% 15.88/3.43 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : ((inconsistency_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X1 @ X2 @ X3))) @ X0) => ~(inconsistency_P @ X1 @ X0))),
% 15.88/3.43 file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_0_A1a)).
% 15.88/3.43 thf(f1867,plain,(
% 15.88/3.43 ~spl2_26),
% 15.88/3.43 inference(avatar_contradiction_clause,[status(thm)],[f1866])).
% 15.88/3.43 thf(f1866,plain,(
% 15.88/3.43 $false | ~spl2_26),
% 15.88/3.43 inference(subsumption_resolution,[status(thm)],[f1858,f1156])).
% 15.88/3.43 thf(f1156,plain,(
% 15.88/3.43 ( ! [X1 : qML_mu > qML_i > $o] : (($true != (inconsistency_P @ X1 @ sK47))) ) | ~spl2_26),
% 15.88/3.43 inference(avatar_component_clause,[status(thm)],[f1155])).
% 15.88/3.43 thf(f1858,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o] : (((inconsistency_P @ X0 @ sK47) = $true)) ) | ~spl2_26),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f1852])).
% 15.88/3.43 thf(f1852,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o] : (((inconsistency_P @ X0 @ sK47) = $true) | ($true != $true)) ) | ~spl2_26),
% 15.88/3.43 inference(superposition,[status(thm)],[f1156,f51])).
% 15.88/3.43 thf(f51,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1)) | ((inconsistency_P @ X0 @ X1) = $true)) )),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f37])).
% 15.88/3.43 thf(f37,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X0 @ X1) = $true) | ($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1)))),
% 15.88/3.43 inference(ennf_transformation,[status(thm)],[f31])).
% 15.88/3.43 thf(f31,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X0 @ X1) != $true) => ($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1)))),
% 15.88/3.43 inference(flattening,[status(thm)],[f18])).
% 15.88/3.43 thf(f18,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (~((inconsistency_P @ X0 @ X1) = $true) => ($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1)))),
% 15.88/3.43 inference(fool_elimination,[status(thm)],[f17])).
% 15.88/3.43 thf(f17,plain,(
% 15.88/3.43 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (~(inconsistency_P @ X0 @ X1) => (inconsistency_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X0 @ X2 @ X3))) @ X1))),
% 15.88/3.43 inference(rectify,[status(thm)],[f2])).
% 15.88/3.43 thf(f2,axiom,(
% 15.88/3.43 ! [X1 : qML_mu > qML_i > $o,X0 : qML_i] : (~(inconsistency_P @ X1 @ X0) => (inconsistency_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X1 @ X2 @ X3))) @ X0))),
% 15.88/3.43 file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_1_A1b)).
% 15.88/3.43 thf(f752,plain,(
% 15.88/3.43 ~spl2_4),
% 15.88/3.43 inference(avatar_split_clause,[status(thm)],[f299,f144])).
% 15.88/3.43 thf(f299,plain,(
% 15.88/3.43 ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f296])).
% 15.88/3.43 thf(f296,plain,(
% 15.88/3.43 ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) | ($true != $true)),
% 15.88/3.43 inference(constrained_superposition,[status(thm)],[f284,f55])).
% 15.88/3.43 thf(f55,plain,(
% 15.88/3.43 ( ! [X0 : qML_i] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ X0) = $true)) )),
% 15.88/3.43 inference(definition_unfolding,[status(thm)],[f52,f50])).
% 15.88/3.43 thf(f50,plain,(
% 15.88/3.43 (inconsistency_G = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f20])).
% 15.88/3.43 thf(f20,plain,(
% 15.88/3.43 (inconsistency_G = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))),
% 15.88/3.43 inference(fool_elimination,[status(thm)],[f19])).
% 15.88/3.43 thf(f19,plain,(
% 15.88/3.43 (inconsistency_G = (^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((inconsistency_P @ X2 @ X1) => (X2 @ X0 @ X1)))))),
% 15.88/3.43 inference(rectify,[status(thm)],[f7])).
% 15.88/3.43 thf(f7,axiom,(
% 15.88/3.43 (inconsistency_G = (^[X9 : qML_mu, X10 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((inconsistency_P @ X2 @ X10) => (X2 @ X9 @ X10)))))),
% 15.88/3.43 file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_6_G__def)).
% 15.88/3.43 thf(f52,plain,(
% 15.88/3.43 ( ! [X0 : qML_i] : (((inconsistency_P @ inconsistency_G @ X0) = $true)) )),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f14])).
% 15.88/3.43 thf(f14,plain,(
% 15.88/3.43 ! [X0 : qML_i] : ((inconsistency_P @ inconsistency_G @ X0) = $true)),
% 15.88/3.43 inference(fool_elimination,[status(thm)],[f13])).
% 15.88/3.43 thf(f13,plain,(
% 15.88/3.43 ! [X0 : qML_i] : (inconsistency_P @ inconsistency_G @ X0)),
% 15.88/3.43 inference(rectify,[status(thm)],[f4])).
% 15.88/3.43 thf(f4,axiom,(
% 15.88/3.43 ! [X7 : qML_i] : (inconsistency_P @ inconsistency_G @ X7)),
% 15.88/3.43 file('/export/starexec/sandbox/tmp/tmp.e1jc8A1bj7/DTF2THF_21001.p',fact_3_A3)).
% 15.88/3.43 thf(f284,plain,(
% 15.88/3.43 ( ! [X1 : qML_i] : (($true != (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1))) )),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f283])).
% 15.88/3.43 thf(f283,plain,(
% 15.88/3.43 ( ! [X1 : qML_i] : (($true != (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1)) | ($false = $true)) )),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f269])).
% 15.88/3.43 thf(f269,plain,(
% 15.88/3.43 ( ! [X1 : qML_i] : (($true != (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1)) | (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK12 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) @ (sK13 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))) = $true)) )),
% 15.88/3.43 inference(primitive_instantiation,[status(thm)],[f238])).
% 15.88/3.43 thf(f238,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (X0 @ (sK12 @ X0) @ (sK13 @ X0))) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.88/3.43 inference(not_proxy_clausification,[status(thm)],[f237])).
% 15.88/3.43 thf(f237,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X0 @ X1) != $true) | ((~ (X0 @ (sK12 @ X0) @ (sK13 @ X0))) != $true)) )),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f236])).
% 15.88/3.43 thf(f236,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : ((((^[Y0 : qML_i]: (~ (X0 @ (sK12 @ X0) @ Y0))) @ (sK13 @ X0)) != ((^[Y0 : qML_i]: ($true)) @ (sK13 @ X0))) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.88/3.43 inference(negative_extensionality,[status(thm)],[f235])).
% 15.88/3.43 thf(f235,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((^[Y0 : qML_i]: (~ (X0 @ (sK12 @ X0) @ Y0))) != (^[Y0 : qML_i]: ($true))) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f234])).
% 15.88/3.43 thf(f234,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X0 @ X1) != $true) | (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ (sK12 @ X0)) != ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ (sK12 @ X0)))) )),
% 15.88/3.43 inference(negative_extensionality,[status(thm)],[f232])).
% 15.88/3.43 thf(f232,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1)))))) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f218])).
% 15.88/3.43 thf(f218,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true != $true) | ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1)))))) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.88/3.43 inference(constrained_superposition,[status(thm)],[f45,f217])).
% 15.88/3.43 thf(f217,plain,(
% 15.88/3.43 ( ! [X1 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1))) )),
% 15.88/3.43 inference(subsumption_resolution,[status(thm)],[f208,f117])).
% 15.88/3.43 thf(f117,plain,(
% 15.88/3.43 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1)) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.88/3.43 inference(equality_resolution,[status(thm)],[f49])).
% 15.88/3.43 thf(f49,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o] : (($true != (X1 @ (sK1 @ X2 @ X1 @ X0) @ (sK0 @ X2 @ X1 @ X0))) | ($true != (inconsistency_P @ X0 @ X2)) | ((inconsistency_P @ X1 @ X2) = $true)) )),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f41])).
% 15.88/3.43 thf(f208,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X2 @ X1) = $true) | ($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1))) )),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f207])).
% 15.88/3.43 thf(f207,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X2 @ X1) = $true) | ($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1)) | ($false = $true)) )),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f193])).
% 15.88/3.43 thf(f193,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1)) | ($false = ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ (sK10 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true))))) @ (sK11 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true))))))) | ((inconsistency_P @ X2 @ X1) = $true)) )),
% 15.88/3.43 inference(primitive_instantiation,[status(thm)],[f192])).
% 15.88/3.43 thf(f192,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($false = (X0 @ (sK10 @ X0) @ (sK11 @ X0))) | ((inconsistency_P @ X2 @ X1) = $true) | ((inconsistency_P @ X0 @ X1) = $true)) )),
% 15.88/3.43 inference(not_proxy_clausification,[status(thm)],[f191])).
% 15.88/3.43 thf(f191,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((~ (X0 @ (sK10 @ X0) @ (sK11 @ X0))) != $false) | ((inconsistency_P @ X2 @ X1) = $true) | ((inconsistency_P @ X0 @ X1) = $true)) )),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f190])).
% 15.88/3.43 thf(f190,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X2 @ X1) = $true) | ((inconsistency_P @ X0 @ X1) = $true) | (((^[Y0 : qML_i]: ($false)) @ (sK11 @ X0)) != ((^[Y0 : qML_i]: (~ (X0 @ (sK10 @ X0) @ Y0))) @ (sK11 @ X0)))) )),
% 15.88/3.43 inference(negative_extensionality,[status(thm)],[f189])).
% 15.88/3.43 thf(f189,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((^[Y0 : qML_i]: ($false)) != (^[Y0 : qML_i]: (~ (X0 @ (sK10 @ X0) @ Y0)))) | ((inconsistency_P @ X0 @ X1) = $true) | ((inconsistency_P @ X2 @ X1) = $true)) )),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f188])).
% 15.88/3.43 thf(f188,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X0 @ X1) = $true) | ((inconsistency_P @ X2 @ X1) = $true) | (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ (sK10 @ X0)) != ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK10 @ X0)))) )),
% 15.88/3.43 inference(negative_extensionality,[status(thm)],[f137])).
% 15.88/3.43 thf(f137,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) | ((inconsistency_P @ X0 @ X1) = $true) | ((inconsistency_P @ X2 @ X1) = $true)) )),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f136])).
% 15.88/3.43 thf(f136,plain,(
% 15.88/3.43 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X2 @ X1) = $true) | ($true != $true) | ((inconsistency_P @ X0 @ X1) = $true) | ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))) )),
% 15.88/3.43 inference(constrained_superposition,[status(thm)],[f109,f51])).
% 15.88/3.43 thf(f109,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X2) != $true) | ((inconsistency_P @ X1 @ X2) = $true)) )),
% 15.88/3.43 inference(trivial_inequality_removal,[status(thm)],[f108])).
% 15.88/3.43 thf(f108,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ X1 @ X2) = $true) | ((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X2) != $true) | ($false = $true)) )),
% 15.88/3.43 inference(beta_eta_normalization,[status(thm)],[f102])).
% 15.88/3.43 thf(f102,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X2) != $true) | ((inconsistency_P @ X1 @ X2) = $true) | (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK1 @ X2 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) @ (sK0 @ X2 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))) = $true)) )),
% 15.88/3.43 inference(primitive_instantiation,[status(thm)],[f48])).
% 15.88/3.43 thf(f48,plain,(
% 15.88/3.43 ( ! [X2 : qML_i,X0 : qML_mu > qML_i > $o,X1 : qML_mu > qML_i > $o] : (((X0 @ (sK1 @ X2 @ X1 @ X0) @ (sK0 @ X2 @ X1 @ X0)) = $true) | ((inconsistency_P @ X1 @ X2) = $true) | ($true != (inconsistency_P @ X0 @ X2))) )),
% 15.88/3.43 inference(cnf_transformation,[status(thm)],[f41])).
% 15.88/3.43 % SZS output end Proof for DTF2THF_21001
% 15.88/3.43 % (21306)------------------------------
% 15.88/3.43 % (21306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.88/3.43 % (21306)Termination reason: Refutation
% 15.88/3.43
% 15.88/3.43 % (21306)Memory used [KB]: 7803
% 15.88/3.43 % (21306)Time elapsed: 0.448 s
% 15.88/3.43 % (21306)Instructions burned: 1484 (million)
% 15.88/3.43 % (21306)------------------------------
% 15.88/3.43 % (21306)------------------------------
% 15.88/3.43 % (21114)Success in time 2.127 s
%------------------------------------------------------------------------------