%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV192^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:40:31 AM UTC 2026
% Result : Theorem 157.07s 23.82s
% Output : Refutation 157.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 49
% Syntax : Number of formulae : 294 ( 1 unt; 0 typ; 31 def)
% Number of atoms : 5766 (1457 equ; 0 cnn)
% Maximal formula atoms : 67 ( 19 avg)
% Number of connectives : 12533 ( 874 ~;1012 |; 456 &;10047 @)
% ( 31 <=>; 113 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 754 ( 754 >; 0 *; 0 +; 0 <<)
% Number of symbols : 71 ( 68 usr; 35 con; 0-6 aty)
% Number of variables : 1264 ( 0 ^; 943 !; 321 ?;1264 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_7,type,
c: $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
c: $tType ).
thf(func_def_2,type,
cP: b > b > b ).
thf(func_def_3,type,
c0: b ).
thf(func_def_7,type,
sP0: b > b > b > ( b > b > b > $o ) > $o ).
thf(func_def_8,type,
sP1: b > b > b > ( b > b > b > $o ) > $o ).
thf(func_def_9,type,
sP2: c > ( ( c > b > $o ) > $o ) > $o ).
thf(func_def_10,type,
sP3: ( ( c > b > $o ) > $o ) > c > $o ).
thf(func_def_11,type,
sK4: ( ( c > b > $o ) > $o ) > c > b ).
thf(func_def_12,type,
sK5: ( ( c > b > $o ) > $o ) > c > b ).
thf(func_def_13,type,
sK6: ( ( c > b > $o ) > $o ) > c > c > b > $o ).
thf(func_def_14,type,
sK7: ( b > b > b > $o ) > b ).
thf(func_def_15,type,
sK8: ( b > b > b > $o ) > b ).
thf(func_def_16,type,
sK9: ( b > b > b > $o ) > b ).
thf(func_def_17,type,
sK10: c > ( ( c > b > $o ) > $o ) > b ).
thf(func_def_18,type,
sK11: c > ( ( c > b > $o ) > $o ) > b ).
thf(func_def_19,type,
sK12: c > ( ( c > b > $o ) > $o ) > b ).
thf(func_def_20,type,
sK13: ( b > b > b > $o ) > b ).
thf(func_def_21,type,
sK14: ( b > b > b > $o ) > b ).
thf(func_def_22,type,
sK15: ( b > b > b > $o ) > b ).
thf(func_def_23,type,
sK16: c > ( ( c > b > $o ) > $o ) > c > b > $o ).
thf(func_def_24,type,
sK17: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_25,type,
sK18: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_26,type,
sK19: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_27,type,
sK20: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_28,type,
sK21: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_29,type,
sK22: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_30,type,
sK23: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_31,type,
sK24: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_32,type,
sK25: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_33,type,
sK26: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_34,type,
sK27: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_35,type,
sK28: b > b > b > ( b > b > b > $o ) > b ).
thf(func_def_36,type,
sK29: ( c > b > $o ) > $o ).
thf(func_def_37,type,
sK30: c ).
thf(func_def_38,type,
sK31: c > b > $o ).
thf(func_def_39,type,
sK32: b > b > b > b > b > $o ).
thf(func_def_40,type,
sK33: b > b > b > b > b > b > $o ).
thf(func_def_42,type,
ph35:
!>[X0: $tType] : X0 ).
thf(f2475,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f105,f110,f170,f355,f373,f410,f454,f455,f465,f510,f511,f560,f667,f676,f677,f713,f716,f723,f843,f854,f860,f914,f915,f1524,f1556,f1614,f1625,f1639,f1831,f1841,f2164,f2258,f2367,f2445,f2474]) ).
thf(f2474,plain,
( spl34_32
| ~ spl34_37
| ~ spl34_39
| ~ spl34_52
| ~ spl34_121 ),
inference(avatar_split_clause,[status(thm)],[f2473,f2379,f591,f458,f447,f426]) ).
thf(f426,definition,
( spl34_32
<=> ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true )
| ( ( sP2 @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl34_32])],[avatar_definition]) ).
thf(f447,definition,
( spl34_37
<=> ( c0
= ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_37])],[avatar_definition]) ).
thf(f458,definition,
( spl34_39
<=> ( c0
= ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_39])],[avatar_definition]) ).
thf(f591,definition,
( spl34_52
<=> ( $true
= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ c0 @ c0 @ c0 ) ) ),
introduced(definition,[new_symbols(naming,[spl34_52])],[avatar_definition]) ).
thf(f2379,definition,
( spl34_121
<=> ( c0
= ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_121])],[avatar_definition]) ).
thf(f2473,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sP2 @ X0 @ X1 )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true ) )
| ~ spl34_37
| ~ spl34_39
| ~ spl34_52
| ~ spl34_121 ),
inference(trivial_inequality_removal,[status(thm)],[f2472]) ).
thf(f2472,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true )
| ( ( sP2 @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl34_37
| ~ spl34_39
| ~ spl34_52
| ~ spl34_121 ),
inference(forward_demodulation,[status(thm)],[f2471,f592]) ).
thf(f592,plain,
( ( $true
= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ c0 @ c0 @ c0 ) )
| ~ spl34_52 ),
inference(avatar_component_clause,[status(thm)],[f591]) ).
thf(f2471,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( $true
!= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ c0 @ c0 @ c0 ) )
| ( ( sP2 @ X0 @ X1 )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true ) )
| ~ spl34_37
| ~ spl34_39
| ~ spl34_121 ),
inference(forward_demodulation,[status(thm)],[f2470,f460]) ).
thf(f460,plain,
( ( c0
= ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_39 ),
inference(avatar_component_clause,[status(thm)],[f458]) ).
thf(f2470,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sP2 @ X0 @ X1 )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ c0 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 )
!= $true ) )
| ~ spl34_37
| ~ spl34_121 ),
inference(forward_demodulation,[status(thm)],[f2452,f449]) ).
thf(f449,plain,
( ( c0
= ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_37 ),
inference(avatar_component_clause,[status(thm)],[f447]) ).
thf(f2452,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sP2 @ X0 @ X1 )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true ) )
| ~ spl34_121 ),
inference(superposition,[status(thm)],[f51,f2381]) ).
thf(f2381,plain,
( ( c0
= ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_121 ),
inference(avatar_component_clause,[status(thm)],[f2379]) ).
thf(f51,plain,
! [X0: ( c > b > $o ) > $o,X1: c,X7: b > b > b > $o] :
( ( ( sP2 @ X1 @ X0 )
!= $true )
| ( $true
!= ( X7 @ ( sK13 @ X7 ) @ ( sK15 @ X7 ) @ ( sK14 @ X7 ) ) )
| ( ( X7 @ ( sK11 @ X1 @ X0 ) @ ( sK10 @ X1 @ X0 ) @ ( sK12 @ X1 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f25,plain,
! [X0: ( c > b > $o ) > $o,X1: c] :
( ( ! [X5: c > b > $o] :
( ( ( X0 @ X5 )
!= $true )
| ( $true
= ( X5 @ X1 @ ( sK11 @ X1 @ X0 ) ) ) )
& ! [X6: c > b > $o] :
( ( $true
!= ( X0 @ X6 ) )
| ( ( X6 @ X1 @ ( sK10 @ X1 @ X0 ) )
= $true ) )
& ! [X7: b > b > b > $o] :
( ( ( ( ( c0
= ( sK13 @ X7 ) )
& ( ( sK14 @ X7 )
= ( sK15 @ X7 ) ) )
| ( ( c0
= ( sK15 @ X7 ) )
& ( ( sK13 @ X7 )
= ( sK14 @ X7 ) ) )
| ( ( sP1 @ ( sK15 @ X7 ) @ ( sK13 @ X7 ) @ ( sK14 @ X7 ) @ X7 )
= $true ) )
& ( $true
!= ( X7 @ ( sK13 @ X7 ) @ ( sK15 @ X7 ) @ ( sK14 @ X7 ) ) ) )
| ( ( X7 @ ( sK11 @ X1 @ X0 ) @ ( sK10 @ X1 @ X0 ) @ ( sK12 @ X1 @ X0 ) )
= $true ) )
& ( ( sK16 @ X1 @ X0 @ X1 @ ( sK12 @ X1 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK16 @ X1 @ X0 ) )
= $true ) )
| ( ( sP2 @ X1 @ X0 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f21,f24,f23,f22]) ).
thf(f22,plain,
! [X0: ( c > b > $o ) > $o,X1: c] :
( ? [X2: b,X3: b,X4: b] :
( ! [X5: c > b > $o] :
( ( ( X0 @ X5 )
!= $true )
| ( $true
= ( X5 @ X1 @ X3 ) ) )
& ! [X6: c > b > $o] :
( ( $true
!= ( X0 @ X6 ) )
| ( $true
= ( X6 @ X1 @ X2 ) ) )
& ! [X7: b > b > b > $o] :
( ? [X8: b,X9: b,X10: b] :
( ( ( ( c0 = X8 )
& ( X9 = X10 ) )
| ( ( c0 = X10 )
& ( X8 = X9 ) )
| ( $true
= ( sP1 @ X10 @ X8 @ X9 @ X7 ) ) )
& ( ( X7 @ X8 @ X10 @ X9 )
!= $true ) )
| ( $true
= ( X7 @ X3 @ X2 @ X4 ) ) )
& ? [X11: c > b > $o] :
( ( ( X11 @ X1 @ X4 )
!= $true )
& ( $true
= ( X0 @ X11 ) ) ) )
=> ( ! [X5: c > b > $o] :
( ( ( X0 @ X5 )
!= $true )
| ( $true
= ( X5 @ X1 @ ( sK11 @ X1 @ X0 ) ) ) )
& ! [X6: c > b > $o] :
( ( $true
!= ( X0 @ X6 ) )
| ( ( X6 @ X1 @ ( sK10 @ X1 @ X0 ) )
= $true ) )
& ! [X7: b > b > b > $o] :
( ? [X8: b,X9: b,X10: b] :
( ( ( ( c0 = X8 )
& ( X9 = X10 ) )
| ( ( c0 = X10 )
& ( X8 = X9 ) )
| ( $true
= ( sP1 @ X10 @ X8 @ X9 @ X7 ) ) )
& ( ( X7 @ X8 @ X10 @ X9 )
!= $true ) )
| ( ( X7 @ ( sK11 @ X1 @ X0 ) @ ( sK10 @ X1 @ X0 ) @ ( sK12 @ X1 @ X0 ) )
= $true ) )
& ? [X11: c > b > $o] :
( ( ( X11 @ X1 @ ( sK12 @ X1 @ X0 ) )
!= $true )
& ( $true
= ( X0 @ X11 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f23,plain,
! [X7: b > b > b > $o] :
( ? [X8: b,X9: b,X10: b] :
( ( ( ( c0 = X8 )
& ( X9 = X10 ) )
| ( ( c0 = X10 )
& ( X8 = X9 ) )
| ( $true
= ( sP1 @ X10 @ X8 @ X9 @ X7 ) ) )
& ( ( X7 @ X8 @ X10 @ X9 )
!= $true ) )
=> ( ( ( ( c0
= ( sK13 @ X7 ) )
& ( ( sK14 @ X7 )
= ( sK15 @ X7 ) ) )
| ( ( c0
= ( sK15 @ X7 ) )
& ( ( sK13 @ X7 )
= ( sK14 @ X7 ) ) )
| ( ( sP1 @ ( sK15 @ X7 ) @ ( sK13 @ X7 ) @ ( sK14 @ X7 ) @ X7 )
= $true ) )
& ( $true
!= ( X7 @ ( sK13 @ X7 ) @ ( sK15 @ X7 ) @ ( sK14 @ X7 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f24,plain,
! [X0: ( c > b > $o ) > $o,X1: c] :
( ? [X11: c > b > $o] :
( ( ( X11 @ X1 @ ( sK12 @ X1 @ X0 ) )
!= $true )
& ( $true
= ( X0 @ X11 ) ) )
=> ( ( ( sK16 @ X1 @ X0 @ X1 @ ( sK12 @ X1 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK16 @ X1 @ X0 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f21,plain,
! [X0: ( c > b > $o ) > $o,X1: c] :
( ? [X2: b,X3: b,X4: b] :
( ! [X5: c > b > $o] :
( ( ( X0 @ X5 )
!= $true )
| ( $true
= ( X5 @ X1 @ X3 ) ) )
& ! [X6: c > b > $o] :
( ( $true
!= ( X0 @ X6 ) )
| ( $true
= ( X6 @ X1 @ X2 ) ) )
& ! [X7: b > b > b > $o] :
( ? [X8: b,X9: b,X10: b] :
( ( ( ( c0 = X8 )
& ( X9 = X10 ) )
| ( ( c0 = X10 )
& ( X8 = X9 ) )
| ( $true
= ( sP1 @ X10 @ X8 @ X9 @ X7 ) ) )
& ( ( X7 @ X8 @ X10 @ X9 )
!= $true ) )
| ( $true
= ( X7 @ X3 @ X2 @ X4 ) ) )
& ? [X11: c > b > $o] :
( ( ( X11 @ X1 @ X4 )
!= $true )
& ( $true
= ( X0 @ X11 ) ) ) )
| ( ( sP2 @ X1 @ X0 )
!= $true ) ),
inference(rectify,[status(thm)],[f20]) ).
thf(f20,plain,
! [X0: ( c > b > $o ) > $o,X28: c] :
( ? [X44: b,X43: b,X45: b] :
( ! [X57: c > b > $o] :
( ( ( X0 @ X57 )
!= $true )
| ( ( X57 @ X28 @ X43 )
= $true ) )
& ! [X46: c > b > $o] :
( ( ( X0 @ X46 )
!= $true )
| ( ( X46 @ X28 @ X44 )
= $true ) )
& ! [X47: b > b > b > $o] :
( ? [X48: b,X49: b,X50: b] :
( ( ( ( c0 = X48 )
& ( X49 = X50 ) )
| ( ( c0 = X50 )
& ( X48 = X49 ) )
| ( $true
= ( sP1 @ X50 @ X48 @ X49 @ X47 ) ) )
& ( $true
!= ( X47 @ X48 @ X50 @ X49 ) ) )
| ( $true
= ( X47 @ X43 @ X44 @ X45 ) ) )
& ? [X58: c > b > $o] :
( ( $true
!= ( X58 @ X28 @ X45 ) )
& ( $true
= ( X0 @ X58 ) ) ) )
| ( ( sP2 @ X28 @ X0 )
!= $true ) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
! [X0: ( c > b > $o ) > $o,X28: c] :
( ? [X44: b,X43: b,X45: b] :
( ! [X57: c > b > $o] :
( ( ( X0 @ X57 )
!= $true )
| ( ( X57 @ X28 @ X43 )
= $true ) )
& ! [X46: c > b > $o] :
( ( ( X0 @ X46 )
!= $true )
| ( ( X46 @ X28 @ X44 )
= $true ) )
& ! [X47: b > b > b > $o] :
( ? [X48: b,X49: b,X50: b] :
( ( ( ( c0 = X48 )
& ( X49 = X50 ) )
| ( ( c0 = X50 )
& ( X48 = X49 ) )
| ( $true
= ( sP1 @ X50 @ X48 @ X49 @ X47 ) ) )
& ( $true
!= ( X47 @ X48 @ X50 @ X49 ) ) )
| ( $true
= ( X47 @ X43 @ X44 @ X45 ) ) )
& ? [X58: c > b > $o] :
( ( $true
!= ( X58 @ X28 @ X45 ) )
& ( $true
= ( X0 @ X58 ) ) ) )
| ( ( sP2 @ X28 @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f2445,plain,
( spl34_121
| ~ spl34_33
| ~ spl34_39 ),
inference(avatar_split_clause,[status(thm)],[f2444,f458,f429,f2379]) ).
thf(f429,definition,
( spl34_33
<=> ( ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_33])],[avatar_definition]) ).
thf(f2444,plain,
( ( c0
= ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_33
| ~ spl34_39 ),
inference(forward_demodulation,[status(thm)],[f431,f460]) ).
thf(f431,plain,
( ( ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_33 ),
inference(avatar_component_clause,[status(thm)],[f429]) ).
thf(f2367,plain,
( ~ spl34_43
| ~ spl34_37
| spl34_40 ),
inference(avatar_split_clause,[status(thm)],[f2344,f462,f447,f489]) ).
thf(f489,definition,
( spl34_43
<=> ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ c0 @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_43])],[avatar_definition]) ).
thf(f462,definition,
( spl34_40
<=> ( $true
= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_40])],[avatar_definition]) ).
thf(f2344,plain,
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ c0 @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ~ spl34_37
| spl34_40 ),
inference(backward_demodulation,[status(thm)],[f464,f449]) ).
thf(f464,plain,
( ( $true
!= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| spl34_40 ),
inference(avatar_component_clause,[status(thm)],[f462]) ).
thf(f2258,plain,
( spl34_30
| ~ spl34_34
| ~ spl34_100 ),
inference(avatar_split_clause,[status(thm)],[f2257,f2162,f433,f407]) ).
thf(f407,definition,
( spl34_30
<=> ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_30])],[avatar_definition]) ).
thf(f433,definition,
( spl34_34
<=> ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_34])],[avatar_definition]) ).
thf(f2162,definition,
( spl34_100
<=> ! [X2: b,X3: b] :
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ X2 @ X3 @ ( sK17 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X2 ) @ ( cP @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X3 ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl34_100])],[avatar_definition]) ).
thf(f2257,plain,
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true )
| ~ spl34_34
| ~ spl34_100 ),
inference(forward_demodulation,[status(thm)],[f2251,f1865]) ).
thf(f1865,plain,
( ( ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK19 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_34 ),
inference(trivial_inequality_removal,[status(thm)],[f1857]) ).
thf(f1857,plain,
( ( $true != $true )
| ( ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK19 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_34 ),
inference(superposition,[status(thm)],[f59,f435]) ).
thf(f435,plain,
( ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= $true )
| ~ spl34_34 ),
inference(avatar_component_clause,[status(thm)],[f433]) ).
thf(f59,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( ( cP @ ( sK22 @ X3 @ X2 @ X1 @ X0 ) @ ( sK19 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
thf(f29,plain,
! [X0: b > b > b > $o,X1: b,X2: b,X3: b] :
( ( ( $true
= ( X0 @ ( sK22 @ X3 @ X2 @ X1 @ X0 ) @ ( sK21 @ X3 @ X2 @ X1 @ X0 ) @ ( sK18 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK18 @ X3 @ X2 @ X1 @ X0 ) @ ( sK17 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
& ( ( X0 @ ( sK19 @ X3 @ X2 @ X1 @ X0 ) @ ( sK20 @ X3 @ X2 @ X1 @ X0 ) @ ( sK17 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( ( cP @ ( sK22 @ X3 @ X2 @ X1 @ X0 ) @ ( sK19 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
& ( ( cP @ ( sK21 @ X3 @ X2 @ X1 @ X0 ) @ ( sK20 @ X3 @ X2 @ X1 @ X0 ) )
= X3 ) )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21,sK22])],[f27,f28]) ).
thf(f28,plain,
! [X0: b > b > b > $o,X1: b,X2: b,X3: b] :
( ? [X4: b,X5: b,X6: b,X7: b,X8: b,X9: b] :
( ( $true
= ( X0 @ X9 @ X8 @ X5 ) )
& ( ( cP @ X5 @ X4 )
= X1 )
& ( $true
= ( X0 @ X6 @ X7 @ X4 ) )
& ( ( cP @ X9 @ X6 )
= X2 )
& ( ( cP @ X8 @ X7 )
= X3 ) )
=> ( ( $true
= ( X0 @ ( sK22 @ X3 @ X2 @ X1 @ X0 ) @ ( sK21 @ X3 @ X2 @ X1 @ X0 ) @ ( sK18 @ X3 @ X2 @ X1 @ X0 ) ) )
& ( ( cP @ ( sK18 @ X3 @ X2 @ X1 @ X0 ) @ ( sK17 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
& ( ( X0 @ ( sK19 @ X3 @ X2 @ X1 @ X0 ) @ ( sK20 @ X3 @ X2 @ X1 @ X0 ) @ ( sK17 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( ( cP @ ( sK22 @ X3 @ X2 @ X1 @ X0 ) @ ( sK19 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
& ( ( cP @ ( sK21 @ X3 @ X2 @ X1 @ X0 ) @ ( sK20 @ X3 @ X2 @ X1 @ X0 ) )
= X3 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f27,plain,
! [X0: b > b > b > $o,X1: b,X2: b,X3: b] :
( ? [X4: b,X5: b,X6: b,X7: b,X8: b,X9: b] :
( ( $true
= ( X0 @ X9 @ X8 @ X5 ) )
& ( ( cP @ X5 @ X4 )
= X1 )
& ( $true
= ( X0 @ X6 @ X7 @ X4 ) )
& ( ( cP @ X9 @ X6 )
= X2 )
& ( ( cP @ X8 @ X7 )
= X3 ) )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(rectify,[status(thm)],[f26]) ).
thf(f26,plain,
! [X47: b > b > b > $o,X49: b,X48: b,X50: b] :
( ? [X54: b,X51: b,X56: b,X55: b,X52: b,X53: b] :
( ( $true
= ( X47 @ X53 @ X52 @ X51 ) )
& ( ( cP @ X51 @ X54 )
= X49 )
& ( $true
= ( X47 @ X56 @ X55 @ X54 ) )
& ( ( cP @ X53 @ X56 )
= X48 )
& ( ( cP @ X52 @ X55 )
= X50 ) )
| ( $true
!= ( sP1 @ X50 @ X48 @ X49 @ X47 ) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
! [X47: b > b > b > $o,X49: b,X48: b,X50: b] :
( ? [X54: b,X51: b,X56: b,X55: b,X52: b,X53: b] :
( ( $true
= ( X47 @ X53 @ X52 @ X51 ) )
& ( ( cP @ X51 @ X54 )
= X49 )
& ( $true
= ( X47 @ X56 @ X55 @ X54 ) )
& ( ( cP @ X53 @ X56 )
= X48 )
& ( ( cP @ X52 @ X55 )
= X50 ) )
| ( $true
!= ( sP1 @ X50 @ X48 @ X49 @ X47 ) ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f2251,plain,
( ( $true
= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK19 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| ~ spl34_34
| ~ spl34_100 ),
inference(trivial_inequality_removal,[status(thm)],[f2249]) ).
thf(f2249,plain,
( ( $true != $true )
| ( $true
= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK19 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| ~ spl34_34
| ~ spl34_100 ),
inference(superposition,[status(thm)],[f2226,f1862]) ).
thf(f1862,plain,
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK19 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK20 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK17 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true )
| ~ spl34_34 ),
inference(trivial_inequality_removal,[status(thm)],[f1859]) ).
thf(f1859,plain,
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK19 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK20 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK17 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl34_34 ),
inference(superposition,[status(thm)],[f60,f435]) ).
thf(f60,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( ( X0 @ ( sK19 @ X3 @ X2 @ X1 @ X0 ) @ ( sK20 @ X3 @ X2 @ X1 @ X0 ) @ ( sK17 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
thf(f2226,plain,
( ! [X0: b] :
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ X0 @ ( sK20 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK17 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( $true
= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X0 ) @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) ) )
| ~ spl34_34
| ~ spl34_100 ),
inference(superposition,[status(thm)],[f2163,f1864]) ).
thf(f1864,plain,
( ( ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= ( cP @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK20 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| ~ spl34_34 ),
inference(trivial_inequality_removal,[status(thm)],[f1858]) ).
thf(f1858,plain,
( ( $true != $true )
| ( ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= ( cP @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK20 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| ~ spl34_34 ),
inference(superposition,[status(thm)],[f58,f435]) ).
thf(f58,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( ( cP @ ( sK21 @ X3 @ X2 @ X1 @ X0 ) @ ( sK20 @ X3 @ X2 @ X1 @ X0 ) )
= X3 )
| ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
thf(f2163,plain,
( ! [X2: b,X3: b] :
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X2 ) @ ( cP @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X3 ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ X2 @ X3 @ ( sK17 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true ) )
| ~ spl34_100 ),
inference(avatar_component_clause,[status(thm)],[f2162]) ).
thf(f2164,plain,
( spl34_100
| spl34_29
| ~ spl34_34 ),
inference(avatar_split_clause,[status(thm)],[f2160,f433,f404,f2162]) ).
thf(f404,definition,
( spl34_29
<=> ! [X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( $true
!= ( sK29 @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_29])],[avatar_definition]) ).
thf(f2160,plain,
( ! [X2: b,X3: b,X0: c > b > $o,X1: c] :
( ( $true
!= ( sK29 @ X0 ) )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ X2 @ X3 @ ( sK17 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X2 ) @ ( cP @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X3 ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true ) )
| ~ spl34_34 ),
inference(trivial_inequality_removal,[status(thm)],[f2159]) ).
thf(f2159,plain,
( ! [X2: b,X3: b,X0: c > b > $o,X1: c] :
( ( $true != $true )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ X2 @ X3 @ ( sK17 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X2 ) @ ( cP @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X3 ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true ) )
| ~ spl34_34 ),
inference(forward_demodulation,[status(thm)],[f2157,f435]) ).
thf(f2157,plain,
( ! [X2: b,X3: b,X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X2 ) @ ( cP @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X3 ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ X2 @ X3 @ ( sK17 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true ) )
| ~ spl34_34 ),
inference(trivial_inequality_removal,[status(thm)],[f2150]) ).
thf(f2150,plain,
( ! [X2: b,X3: b,X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( cP @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X2 ) @ ( cP @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ X3 ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ X2 @ X3 @ ( sK17 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
!= $true )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_34 ),
inference(superposition,[status(thm)],[f1083,f1861]) ).
thf(f1861,plain,
( ( $true
= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK18 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| ~ spl34_34 ),
inference(trivial_inequality_removal,[status(thm)],[f1860]) ).
thf(f1860,plain,
( ( $true != $true )
| ( $true
= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK22 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK21 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK18 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| ~ spl34_34 ),
inference(superposition,[status(thm)],[f62,f435]) ).
thf(f62,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) )
| ( $true
= ( X0 @ ( sK22 @ X3 @ X2 @ X1 @ X0 ) @ ( sK21 @ X3 @ X2 @ X1 @ X0 ) @ ( sK18 @ X3 @ X2 @ X1 @ X0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
thf(f1083,plain,
! [X2: b,X3: b > b > b > $o,X10: b,X0: b,X11: c > b > $o,X1: b,X8: b,X6: b,X9: b,X7: b,X4: b,X5: b,X12: c] :
( ( $true
!= ( sK33 @ X4 @ X5 @ X6 @ X7 @ X9 @ ( sK18 @ X0 @ X1 @ X2 @ X3 ) ) )
| ( ( sP1 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( ( X11 @ X12 @ X6 )
= $true )
| ( ( X11 @ X12 @ X4 )
!= $true )
| ( ( sK33 @ X4 @ X5 @ X6 @ X8 @ X10 @ ( sK17 @ X0 @ X1 @ X2 @ X3 ) )
!= $true )
| ( ( sK29 @ X11 )
!= $true )
| ( ( X11 @ X12 @ X5 )
!= $true )
| ( ( sK33 @ X4 @ X5 @ X6 @ ( cP @ X7 @ X8 ) @ ( cP @ X9 @ X10 ) @ X2 )
= $true ) ),
inference(superposition,[status(thm)],[f90,f61]) ).
thf(f61,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( $true
!= ( sP1 @ X3 @ X2 @ X1 @ X0 ) )
| ( ( cP @ ( sK18 @ X3 @ X2 @ X1 @ X0 ) @ ( sK17 @ X3 @ X2 @ X1 @ X0 ) )
= X1 ) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
thf(f90,plain,
! [X28: b,X3: c > b > $o,X29: b,X18: b,X19: b,X26: b,X27: b,X4: c,X17: b,X24: b,X25: b] :
( ( ( sK33 @ X19 @ X18 @ X17 @ ( cP @ X27 @ X26 ) @ ( cP @ X24 @ X25 ) @ ( cP @ X28 @ X29 ) )
= $true )
| ( $true
!= ( X3 @ X4 @ X18 ) )
| ( $true
!= ( sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29 ) )
| ( ( sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28 )
!= $true )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( sK29 @ X3 ) )
| ( $true
!= ( X3 @ X4 @ X19 ) ) ),
inference(equality_resolution,[status(thm)],[f89]) ).
thf(f89,plain,
! [X3: c > b > $o,X28: b,X29: b,X18: b,X19: b,X26: b,X27: b,X4: c,X17: b,X24: b,X25: b,X23: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ( $true
!= ( sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29 ) )
| ( ( sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28 )
!= $true )
| ( ( cP @ X28 @ X29 )
!= X23 )
| ( $true
= ( sK33 @ X19 @ X18 @ X17 @ ( cP @ X27 @ X26 ) @ ( cP @ X24 @ X25 ) @ X23 ) )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(equality_resolution,[status(thm)],[f88]) ).
thf(f88,plain,
! [X3: c > b > $o,X28: b,X29: b,X18: b,X19: b,X26: b,X27: b,X4: c,X17: b,X24: b,X22: b,X25: b,X23: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ( $true
!= ( sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29 ) )
| ( ( sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28 )
!= $true )
| ( ( cP @ X24 @ X25 )
!= X22 )
| ( ( cP @ X28 @ X29 )
!= X23 )
| ( ( sK33 @ X19 @ X18 @ X17 @ ( cP @ X27 @ X26 ) @ X22 @ X23 )
= $true )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(equality_resolution,[status(thm)],[f70]) ).
thf(f70,plain,
! [X21: b,X3: c > b > $o,X28: b,X29: b,X18: b,X19: b,X26: b,X27: b,X4: c,X17: b,X24: b,X22: b,X25: b,X23: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ( ( cP @ X27 @ X26 )
!= X21 )
| ( $true
!= ( sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29 ) )
| ( ( sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28 )
!= $true )
| ( ( cP @ X24 @ X25 )
!= X22 )
| ( ( cP @ X28 @ X29 )
!= X23 )
| ( ( sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23 )
= $true )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f40,plain,
( ( ( ( $true
!= ( sK31 @ sK30 @ c0 ) )
& ( ( sK29 @ sK31 )
= $true ) )
| ( $true
= ( sP2 @ sK30 @ sK29 ) )
| ( $true
= ( sP3 @ sK29 @ sK30 ) ) )
& ! [X3: c > b > $o] :
( ! [X4: c] :
( ( ( X3 @ X4 @ c0 )
= $true )
& ! [X5: b,X6: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( ! [X8: b,X9: b,X10: b] :
( ( ( ( X8 != X10 )
| ( c0 != X9 ) )
& ( ( c0 != X8 )
| ( X9 != X10 ) )
& ! [X11: b,X12: b,X13: b,X14: b,X15: b,X16: b] :
( ( ( cP @ X16 @ X11 )
!= X8 )
| ( $true
!= ( sK32 @ X6 @ X5 @ X12 @ X11 @ X13 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( sK32 @ X6 @ X5 @ X14 @ X16 @ X15 )
!= $true )
| ( ( cP @ X15 @ X13 )
!= X10 ) ) )
| ( ( sK32 @ X6 @ X5 @ X9 @ X8 @ X10 )
= $true ) )
& ( $true
!= ( sK32 @ X6 @ X5 @ X6 @ X5 @ X5 ) ) )
| ( ( X3 @ X4 @ X6 )
= $true ) )
& ! [X17: b,X18: b,X19: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ( ! [X21: b,X22: b,X23: b] :
( ( ( ( c0 != X22 )
| ( X21 != X23 ) )
& ! [X24: b,X25: b,X26: b,X27: b,X28: b,X29: b] :
( ( ( cP @ X27 @ X26 )
!= X21 )
| ( $true
!= ( sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29 ) )
| ( ( sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28 )
!= $true )
| ( ( cP @ X24 @ X25 )
!= X22 )
| ( ( cP @ X28 @ X29 )
!= X23 ) )
& ( ( c0 != X21 )
| ( X22 != X23 ) ) )
| ( ( sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23 )
= $true ) )
& ( ( sK33 @ X19 @ X18 @ X17 @ X18 @ X19 @ X17 )
!= $true ) )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true ) ) )
| ( $true
!= ( sK29 @ X3 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32,sK33])],[f34,f39,f38,f37,f36,f35]) ).
thf(f35,plain,
( ? [X0: ( c > b > $o ) > $o] :
( ? [X1: c] :
( ? [X2: c > b > $o] :
( ( ( X2 @ X1 @ c0 )
!= $true )
& ( ( X0 @ X2 )
= $true ) )
| ( ( sP2 @ X1 @ X0 )
= $true )
| ( ( sP3 @ X0 @ X1 )
= $true ) )
& ! [X3: c > b > $o] :
( ! [X4: c] :
( ( ( X3 @ X4 @ c0 )
= $true )
& ! [X5: b,X6: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ? [X7: b > b > b > $o] :
( ! [X8: b,X9: b,X10: b] :
( ( ( ( X8 != X10 )
| ( c0 != X9 ) )
& ( ( c0 != X8 )
| ( X9 != X10 ) )
& ! [X11: b,X12: b,X13: b,X14: b,X15: b,X16: b] :
( ( ( cP @ X16 @ X11 )
!= X8 )
| ( $true
!= ( X7 @ X12 @ X11 @ X13 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( X7 @ X14 @ X16 @ X15 )
!= $true )
| ( ( cP @ X15 @ X13 )
!= X10 ) ) )
| ( $true
= ( X7 @ X9 @ X8 @ X10 ) ) )
& ( ( X7 @ X6 @ X5 @ X5 )
!= $true ) )
| ( ( X3 @ X4 @ X6 )
= $true ) )
& ! [X17: b,X18: b,X19: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ? [X20: b > b > b > $o] :
( ! [X21: b,X22: b,X23: b] :
( ( ( ( c0 != X22 )
| ( X21 != X23 ) )
& ! [X24: b,X25: b,X26: b,X27: b,X28: b,X29: b] :
( ( ( cP @ X27 @ X26 )
!= X21 )
| ( ( X20 @ X26 @ X25 @ X29 )
!= $true )
| ( ( X20 @ X27 @ X24 @ X28 )
!= $true )
| ( ( cP @ X24 @ X25 )
!= X22 )
| ( ( cP @ X28 @ X29 )
!= X23 ) )
& ( ( c0 != X21 )
| ( X22 != X23 ) ) )
| ( $true
= ( X20 @ X21 @ X22 @ X23 ) ) )
& ( ( X20 @ X18 @ X19 @ X17 )
!= $true ) )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true ) ) )
| ( $true
!= ( X0 @ X3 ) ) ) )
=> ( ? [X1: c] :
( ? [X2: c > b > $o] :
( ( ( X2 @ X1 @ c0 )
!= $true )
& ( $true
= ( sK29 @ X2 ) ) )
| ( $true
= ( sP2 @ X1 @ sK29 ) )
| ( $true
= ( sP3 @ sK29 @ X1 ) ) )
& ! [X3: c > b > $o] :
( ! [X4: c] :
( ( ( X3 @ X4 @ c0 )
= $true )
& ! [X5: b,X6: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ? [X7: b > b > b > $o] :
( ! [X8: b,X9: b,X10: b] :
( ( ( ( X8 != X10 )
| ( c0 != X9 ) )
& ( ( c0 != X8 )
| ( X9 != X10 ) )
& ! [X11: b,X12: b,X13: b,X14: b,X15: b,X16: b] :
( ( ( cP @ X16 @ X11 )
!= X8 )
| ( $true
!= ( X7 @ X12 @ X11 @ X13 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( X7 @ X14 @ X16 @ X15 )
!= $true )
| ( ( cP @ X15 @ X13 )
!= X10 ) ) )
| ( $true
= ( X7 @ X9 @ X8 @ X10 ) ) )
& ( ( X7 @ X6 @ X5 @ X5 )
!= $true ) )
| ( ( X3 @ X4 @ X6 )
= $true ) )
& ! [X17: b,X18: b,X19: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ? [X20: b > b > b > $o] :
( ! [X21: b,X22: b,X23: b] :
( ( ( ( c0 != X22 )
| ( X21 != X23 ) )
& ! [X24: b,X25: b,X26: b,X27: b,X28: b,X29: b] :
( ( ( cP @ X27 @ X26 )
!= X21 )
| ( ( X20 @ X26 @ X25 @ X29 )
!= $true )
| ( ( X20 @ X27 @ X24 @ X28 )
!= $true )
| ( ( cP @ X24 @ X25 )
!= X22 )
| ( ( cP @ X28 @ X29 )
!= X23 ) )
& ( ( c0 != X21 )
| ( X22 != X23 ) ) )
| ( $true
= ( X20 @ X21 @ X22 @ X23 ) ) )
& ( ( X20 @ X18 @ X19 @ X17 )
!= $true ) )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true ) ) )
| ( $true
!= ( sK29 @ X3 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f36,plain,
( ? [X1: c] :
( ? [X2: c > b > $o] :
( ( ( X2 @ X1 @ c0 )
!= $true )
& ( $true
= ( sK29 @ X2 ) ) )
| ( $true
= ( sP2 @ X1 @ sK29 ) )
| ( $true
= ( sP3 @ sK29 @ X1 ) ) )
=> ( ? [X2: c > b > $o] :
( ( ( X2 @ sK30 @ c0 )
!= $true )
& ( $true
= ( sK29 @ X2 ) ) )
| ( $true
= ( sP2 @ sK30 @ sK29 ) )
| ( $true
= ( sP3 @ sK29 @ sK30 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f37,plain,
( ? [X2: c > b > $o] :
( ( ( X2 @ sK30 @ c0 )
!= $true )
& ( $true
= ( sK29 @ X2 ) ) )
=> ( ( $true
!= ( sK31 @ sK30 @ c0 ) )
& ( ( sK29 @ sK31 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f38,plain,
! [X5: b,X6: b] :
( ? [X7: b > b > b > $o] :
( ! [X8: b,X9: b,X10: b] :
( ( ( ( X8 != X10 )
| ( c0 != X9 ) )
& ( ( c0 != X8 )
| ( X9 != X10 ) )
& ! [X11: b,X12: b,X13: b,X14: b,X15: b,X16: b] :
( ( ( cP @ X16 @ X11 )
!= X8 )
| ( $true
!= ( X7 @ X12 @ X11 @ X13 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( X7 @ X14 @ X16 @ X15 )
!= $true )
| ( ( cP @ X15 @ X13 )
!= X10 ) ) )
| ( $true
= ( X7 @ X9 @ X8 @ X10 ) ) )
& ( ( X7 @ X6 @ X5 @ X5 )
!= $true ) )
=> ( ! [X10: b,X9: b,X8: b] :
( ( ( ( X8 != X10 )
| ( c0 != X9 ) )
& ( ( c0 != X8 )
| ( X9 != X10 ) )
& ! [X16: b,X15: b,X14: b,X13: b,X12: b,X11: b] :
( ( ( cP @ X16 @ X11 )
!= X8 )
| ( $true
!= ( sK32 @ X6 @ X5 @ X12 @ X11 @ X13 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( sK32 @ X6 @ X5 @ X14 @ X16 @ X15 )
!= $true )
| ( ( cP @ X15 @ X13 )
!= X10 ) ) )
| ( ( sK32 @ X6 @ X5 @ X9 @ X8 @ X10 )
= $true ) )
& ( $true
!= ( sK32 @ X6 @ X5 @ X6 @ X5 @ X5 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f39,plain,
! [X17: b,X18: b,X19: b] :
( ? [X20: b > b > b > $o] :
( ! [X21: b,X22: b,X23: b] :
( ( ( ( c0 != X22 )
| ( X21 != X23 ) )
& ! [X24: b,X25: b,X26: b,X27: b,X28: b,X29: b] :
( ( ( cP @ X27 @ X26 )
!= X21 )
| ( ( X20 @ X26 @ X25 @ X29 )
!= $true )
| ( ( X20 @ X27 @ X24 @ X28 )
!= $true )
| ( ( cP @ X24 @ X25 )
!= X22 )
| ( ( cP @ X28 @ X29 )
!= X23 ) )
& ( ( c0 != X21 )
| ( X22 != X23 ) ) )
| ( $true
= ( X20 @ X21 @ X22 @ X23 ) ) )
& ( ( X20 @ X18 @ X19 @ X17 )
!= $true ) )
=> ( ! [X23: b,X22: b,X21: b] :
( ( ( ( c0 != X22 )
| ( X21 != X23 ) )
& ! [X29: b,X28: b,X27: b,X26: b,X25: b,X24: b] :
( ( ( cP @ X27 @ X26 )
!= X21 )
| ( $true
!= ( sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29 ) )
| ( ( sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28 )
!= $true )
| ( ( cP @ X24 @ X25 )
!= X22 )
| ( ( cP @ X28 @ X29 )
!= X23 ) )
& ( ( c0 != X21 )
| ( X22 != X23 ) ) )
| ( ( sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23 )
= $true ) )
& ( ( sK33 @ X19 @ X18 @ X17 @ X18 @ X19 @ X17 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f34,plain,
? [X0: ( c > b > $o ) > $o] :
( ? [X1: c] :
( ? [X2: c > b > $o] :
( ( ( X2 @ X1 @ c0 )
!= $true )
& ( ( X0 @ X2 )
= $true ) )
| ( ( sP2 @ X1 @ X0 )
= $true )
| ( ( sP3 @ X0 @ X1 )
= $true ) )
& ! [X3: c > b > $o] :
( ! [X4: c] :
( ( ( X3 @ X4 @ c0 )
= $true )
& ! [X5: b,X6: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ? [X7: b > b > b > $o] :
( ! [X8: b,X9: b,X10: b] :
( ( ( ( X8 != X10 )
| ( c0 != X9 ) )
& ( ( c0 != X8 )
| ( X9 != X10 ) )
& ! [X11: b,X12: b,X13: b,X14: b,X15: b,X16: b] :
( ( ( cP @ X16 @ X11 )
!= X8 )
| ( $true
!= ( X7 @ X12 @ X11 @ X13 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( X7 @ X14 @ X16 @ X15 )
!= $true )
| ( ( cP @ X15 @ X13 )
!= X10 ) ) )
| ( $true
= ( X7 @ X9 @ X8 @ X10 ) ) )
& ( ( X7 @ X6 @ X5 @ X5 )
!= $true ) )
| ( ( X3 @ X4 @ X6 )
= $true ) )
& ! [X17: b,X18: b,X19: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ? [X20: b > b > b > $o] :
( ! [X21: b,X22: b,X23: b] :
( ( ( ( c0 != X22 )
| ( X21 != X23 ) )
& ! [X24: b,X25: b,X26: b,X27: b,X28: b,X29: b] :
( ( ( cP @ X27 @ X26 )
!= X21 )
| ( ( X20 @ X26 @ X25 @ X29 )
!= $true )
| ( ( X20 @ X27 @ X24 @ X28 )
!= $true )
| ( ( cP @ X24 @ X25 )
!= X22 )
| ( ( cP @ X28 @ X29 )
!= X23 ) )
& ( ( c0 != X21 )
| ( X22 != X23 ) ) )
| ( $true
= ( X20 @ X21 @ X22 @ X23 ) ) )
& ( ( X20 @ X18 @ X19 @ X17 )
!= $true ) )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true ) ) )
| ( $true
!= ( X0 @ X3 ) ) ) ),
inference(rectify,[status(thm)],[f13]) ).
thf(f13,plain,
? [X0: ( c > b > $o ) > $o] :
( ? [X28: c] :
( ? [X59: c > b > $o] :
( ( ( X59 @ X28 @ c0 )
!= $true )
& ( $true
= ( X0 @ X59 ) ) )
| ( ( sP2 @ X28 @ X0 )
= $true )
| ( ( sP3 @ X0 @ X28 )
= $true ) )
& ! [X1: c > b > $o] :
( ! [X2: c] :
( ( ( X1 @ X2 @ c0 )
= $true )
& ! [X17: b,X16: b] :
( ( $true
!= ( X1 @ X2 @ X17 ) )
| ? [X18: b > b > b > $o] :
( ! [X20: b,X21: b,X19: b] :
( ( ( ( X19 != X20 )
| ( c0 != X21 ) )
& ( ( c0 != X20 )
| ( X19 != X21 ) )
& ! [X26: b,X27: b,X23: b,X25: b,X24: b,X22: b] :
( ( ( cP @ X22 @ X26 )
!= X20 )
| ( ( X18 @ X27 @ X26 @ X23 )
!= $true )
| ( ( cP @ X25 @ X27 )
!= X21 )
| ( ( X18 @ X25 @ X22 @ X24 )
!= $true )
| ( ( cP @ X24 @ X23 )
!= X19 ) ) )
| ( $true
= ( X18 @ X21 @ X20 @ X19 ) ) )
& ( ( X18 @ X16 @ X17 @ X17 )
!= $true ) )
| ( ( X1 @ X2 @ X16 )
= $true ) )
& ! [X3: b,X4: b,X5: b] :
( ( ( X1 @ X2 @ X4 )
!= $true )
| ? [X6: b > b > b > $o] :
( ! [X8: b,X9: b,X7: b] :
( ( ( ( c0 != X9 )
| ( X7 != X8 ) )
& ! [X12: b,X10: b,X13: b,X11: b,X14: b,X15: b] :
( ( ( cP @ X11 @ X13 )
!= X8 )
| ( ( X6 @ X13 @ X10 @ X15 )
!= $true )
| ( $true
!= ( X6 @ X11 @ X12 @ X14 ) )
| ( ( cP @ X12 @ X10 )
!= X9 )
| ( ( cP @ X14 @ X15 )
!= X7 ) )
& ( ( c0 != X8 )
| ( X7 != X9 ) ) )
| ( $true
= ( X6 @ X8 @ X9 @ X7 ) ) )
& ( ( X6 @ X4 @ X5 @ X3 )
!= $true ) )
| ( ( X1 @ X2 @ X5 )
!= $true )
| ( ( X1 @ X2 @ X3 )
= $true ) ) )
| ( ( X0 @ X1 )
!= $true ) ) ),
inference(definition_folding,[status(thm)],[f8,f12,f11,f10,f9]) ).
thf(f9,plain,
! [X32: b > b > b > $o,X34: b,X35: b,X33: b] :
( ? [X38: b,X40: b,X36: b,X39: b,X37: b,X41: b] :
( ( ( X32 @ X40 @ X38 @ X41 )
= $true )
& ( ( cP @ X38 @ X36 )
= X34 )
& ( ( cP @ X41 @ X39 )
= X35 )
& ( ( cP @ X40 @ X37 )
= X33 )
& ( ( X32 @ X37 @ X36 @ X39 )
= $true ) )
| ( $true
!= ( sP0 @ X33 @ X35 @ X34 @ X32 ) ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f12,plain,
! [X28: c,X0: ( c > b > $o ) > $o] :
( ? [X29: b,X30: b] :
( ? [X42: c > b > $o] :
( ( ( X42 @ X28 @ X29 )
!= $true )
& ( $true
= ( X0 @ X42 ) ) )
& ! [X31: c > b > $o] :
( ( ( X0 @ X31 )
!= $true )
| ( ( X31 @ X28 @ X30 )
= $true ) )
& ! [X32: b > b > b > $o] :
( ? [X33: b,X35: b,X34: b] :
( ( $true
!= ( X32 @ X33 @ X34 @ X35 ) )
& ( ( ( c0 = X33 )
& ( X34 = X35 ) )
| ( ( X33 = X35 )
& ( c0 = X34 ) )
| ( $true
= ( sP0 @ X33 @ X35 @ X34 @ X32 ) ) ) )
| ( ( X32 @ X29 @ X30 @ X30 )
= $true ) ) )
| ( ( sP3 @ X0 @ X28 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f8,plain,
? [X0: ( c > b > $o ) > $o] :
( ? [X28: c] :
( ? [X59: c > b > $o] :
( ( ( X59 @ X28 @ c0 )
!= $true )
& ( $true
= ( X0 @ X59 ) ) )
| ? [X44: b,X43: b,X45: b] :
( ! [X57: c > b > $o] :
( ( ( X0 @ X57 )
!= $true )
| ( ( X57 @ X28 @ X43 )
= $true ) )
& ! [X46: c > b > $o] :
( ( ( X0 @ X46 )
!= $true )
| ( ( X46 @ X28 @ X44 )
= $true ) )
& ! [X47: b > b > b > $o] :
( ? [X48: b,X49: b,X50: b] :
( ( ( ( c0 = X48 )
& ( X49 = X50 ) )
| ( ( c0 = X50 )
& ( X48 = X49 ) )
| ? [X54: b,X51: b,X56: b,X55: b,X52: b,X53: b] :
( ( $true
= ( X47 @ X53 @ X52 @ X51 ) )
& ( ( cP @ X51 @ X54 )
= X49 )
& ( $true
= ( X47 @ X56 @ X55 @ X54 ) )
& ( ( cP @ X53 @ X56 )
= X48 )
& ( ( cP @ X52 @ X55 )
= X50 ) ) )
& ( $true
!= ( X47 @ X48 @ X50 @ X49 ) ) )
| ( $true
= ( X47 @ X43 @ X44 @ X45 ) ) )
& ? [X58: c > b > $o] :
( ( $true
!= ( X58 @ X28 @ X45 ) )
& ( $true
= ( X0 @ X58 ) ) ) )
| ? [X29: b,X30: b] :
( ? [X42: c > b > $o] :
( ( ( X42 @ X28 @ X29 )
!= $true )
& ( $true
= ( X0 @ X42 ) ) )
& ! [X31: c > b > $o] :
( ( ( X0 @ X31 )
!= $true )
| ( ( X31 @ X28 @ X30 )
= $true ) )
& ! [X32: b > b > b > $o] :
( ? [X33: b,X35: b,X34: b] :
( ( $true
!= ( X32 @ X33 @ X34 @ X35 ) )
& ( ( ( c0 = X33 )
& ( X34 = X35 ) )
| ( ( X33 = X35 )
& ( c0 = X34 ) )
| ? [X38: b,X40: b,X36: b,X39: b,X37: b,X41: b] :
( ( ( X32 @ X40 @ X38 @ X41 )
= $true )
& ( ( cP @ X38 @ X36 )
= X34 )
& ( ( cP @ X41 @ X39 )
= X35 )
& ( ( cP @ X40 @ X37 )
= X33 )
& ( ( X32 @ X37 @ X36 @ X39 )
= $true ) ) ) )
| ( ( X32 @ X29 @ X30 @ X30 )
= $true ) ) ) )
& ! [X1: c > b > $o] :
( ! [X2: c] :
( ( ( X1 @ X2 @ c0 )
= $true )
& ! [X17: b,X16: b] :
( ( $true
!= ( X1 @ X2 @ X17 ) )
| ? [X18: b > b > b > $o] :
( ! [X20: b,X21: b,X19: b] :
( ( ( ( X19 != X20 )
| ( c0 != X21 ) )
& ( ( c0 != X20 )
| ( X19 != X21 ) )
& ! [X26: b,X27: b,X23: b,X25: b,X24: b,X22: b] :
( ( ( cP @ X22 @ X26 )
!= X20 )
| ( ( X18 @ X27 @ X26 @ X23 )
!= $true )
| ( ( cP @ X25 @ X27 )
!= X21 )
| ( ( X18 @ X25 @ X22 @ X24 )
!= $true )
| ( ( cP @ X24 @ X23 )
!= X19 ) ) )
| ( $true
= ( X18 @ X21 @ X20 @ X19 ) ) )
& ( ( X18 @ X16 @ X17 @ X17 )
!= $true ) )
| ( ( X1 @ X2 @ X16 )
= $true ) )
& ! [X3: b,X4: b,X5: b] :
( ( ( X1 @ X2 @ X4 )
!= $true )
| ? [X6: b > b > b > $o] :
( ! [X8: b,X9: b,X7: b] :
( ( ( ( c0 != X9 )
| ( X7 != X8 ) )
& ! [X12: b,X10: b,X13: b,X11: b,X14: b,X15: b] :
( ( ( cP @ X11 @ X13 )
!= X8 )
| ( ( X6 @ X13 @ X10 @ X15 )
!= $true )
| ( $true
!= ( X6 @ X11 @ X12 @ X14 ) )
| ( ( cP @ X12 @ X10 )
!= X9 )
| ( ( cP @ X14 @ X15 )
!= X7 ) )
& ( ( c0 != X8 )
| ( X7 != X9 ) ) )
| ( $true
= ( X6 @ X8 @ X9 @ X7 ) ) )
& ( ( X6 @ X4 @ X5 @ X3 )
!= $true ) )
| ( ( X1 @ X2 @ X5 )
!= $true )
| ( ( X1 @ X2 @ X3 )
= $true ) ) )
| ( ( X0 @ X1 )
!= $true ) ) ),
inference(flattening,[status(thm)],[f7]) ).
thf(f7,plain,
? [X0: ( c > b > $o ) > $o] :
( ? [X28: c] :
( ? [X29: b,X30: b] :
( ? [X42: c > b > $o] :
( ( ( X42 @ X28 @ X29 )
!= $true )
& ( $true
= ( X0 @ X42 ) ) )
& ! [X32: b > b > b > $o] :
( ? [X33: b,X35: b,X34: b] :
( ( $true
!= ( X32 @ X33 @ X34 @ X35 ) )
& ( ( ( c0 = X33 )
& ( X34 = X35 ) )
| ( ( X33 = X35 )
& ( c0 = X34 ) )
| ? [X38: b,X40: b,X36: b,X39: b,X37: b,X41: b] :
( ( ( X32 @ X40 @ X38 @ X41 )
= $true )
& ( ( cP @ X38 @ X36 )
= X34 )
& ( ( cP @ X41 @ X39 )
= X35 )
& ( ( cP @ X40 @ X37 )
= X33 )
& ( ( X32 @ X37 @ X36 @ X39 )
= $true ) ) ) )
| ( ( X32 @ X29 @ X30 @ X30 )
= $true ) )
& ! [X31: c > b > $o] :
( ( ( X0 @ X31 )
!= $true )
| ( ( X31 @ X28 @ X30 )
= $true ) ) )
| ? [X59: c > b > $o] :
( ( ( X59 @ X28 @ c0 )
!= $true )
& ( $true
= ( X0 @ X59 ) ) )
| ? [X45: b,X44: b,X43: b] :
( ? [X58: c > b > $o] :
( ( $true
!= ( X58 @ X28 @ X45 ) )
& ( $true
= ( X0 @ X58 ) ) )
& ! [X57: c > b > $o] :
( ( ( X0 @ X57 )
!= $true )
| ( ( X57 @ X28 @ X43 )
= $true ) )
& ! [X46: c > b > $o] :
( ( ( X0 @ X46 )
!= $true )
| ( ( X46 @ X28 @ X44 )
= $true ) )
& ! [X47: b > b > b > $o] :
( ? [X48: b,X49: b,X50: b] :
( ( ( ( c0 = X48 )
& ( X49 = X50 ) )
| ( ( c0 = X50 )
& ( X48 = X49 ) )
| ? [X54: b,X51: b,X56: b,X55: b,X52: b,X53: b] :
( ( $true
= ( X47 @ X53 @ X52 @ X51 ) )
& ( ( cP @ X51 @ X54 )
= X49 )
& ( $true
= ( X47 @ X56 @ X55 @ X54 ) )
& ( ( cP @ X53 @ X56 )
= X48 )
& ( ( cP @ X52 @ X55 )
= X50 ) ) )
& ( $true
!= ( X47 @ X48 @ X50 @ X49 ) ) )
| ( $true
= ( X47 @ X43 @ X44 @ X45 ) ) ) ) )
& ! [X1: c > b > $o] :
( ! [X2: c] :
( ! [X16: b,X17: b] :
( ( ( X1 @ X2 @ X16 )
= $true )
| ? [X18: b > b > b > $o] :
( ! [X20: b,X21: b,X19: b] :
( ( ( ( X19 != X20 )
| ( c0 != X21 ) )
& ( ( c0 != X20 )
| ( X19 != X21 ) )
& ! [X26: b,X27: b,X23: b,X25: b,X24: b,X22: b] :
( ( ( cP @ X22 @ X26 )
!= X20 )
| ( ( X18 @ X27 @ X26 @ X23 )
!= $true )
| ( ( cP @ X25 @ X27 )
!= X21 )
| ( ( X18 @ X25 @ X22 @ X24 )
!= $true )
| ( ( cP @ X24 @ X23 )
!= X19 ) ) )
| ( $true
= ( X18 @ X21 @ X20 @ X19 ) ) )
& ( ( X18 @ X16 @ X17 @ X17 )
!= $true ) )
| ( $true
!= ( X1 @ X2 @ X17 ) ) )
& ! [X4: b,X5: b,X3: b] :
( ( ( X1 @ X2 @ X3 )
= $true )
| ? [X6: b > b > b > $o] :
( ! [X8: b,X9: b,X7: b] :
( ( ( ( c0 != X9 )
| ( X7 != X8 ) )
& ! [X12: b,X10: b,X13: b,X11: b,X14: b,X15: b] :
( ( ( cP @ X11 @ X13 )
!= X8 )
| ( ( X6 @ X13 @ X10 @ X15 )
!= $true )
| ( $true
!= ( X6 @ X11 @ X12 @ X14 ) )
| ( ( cP @ X12 @ X10 )
!= X9 )
| ( ( cP @ X14 @ X15 )
!= X7 ) )
& ( ( c0 != X8 )
| ( X7 != X9 ) ) )
| ( $true
= ( X6 @ X8 @ X9 @ X7 ) ) )
& ( ( X6 @ X4 @ X5 @ X3 )
!= $true ) )
| ( ( X1 @ X2 @ X4 )
!= $true )
| ( ( X1 @ X2 @ X5 )
!= $true ) )
& ( ( X1 @ X2 @ c0 )
= $true ) )
| ( ( X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ! [X0: ( c > b > $o ) > $o] :
( ! [X1: c > b > $o] :
( ( ( X0 @ X1 )
= $true )
=> ! [X2: c] :
( ! [X16: b,X17: b] :
( ( ! [X18: b > b > b > $o] :
( ! [X19: b,X20: b,X21: b] :
( ( ( ( X19 = X20 )
& ( c0 = X21 ) )
| ( ( c0 = X20 )
& ( X19 = X21 ) )
| ? [X27: b,X26: b,X24: b,X22: b,X25: b,X23: b] :
( ( ( cP @ X25 @ X27 )
= X21 )
& ( ( cP @ X22 @ X26 )
= X20 )
& ( ( X18 @ X27 @ X26 @ X23 )
= $true )
& ( ( cP @ X24 @ X23 )
= X19 )
& ( ( X18 @ X25 @ X22 @ X24 )
= $true ) ) )
=> ( $true
= ( X18 @ X21 @ X20 @ X19 ) ) )
=> ( ( X18 @ X16 @ X17 @ X17 )
= $true ) )
& ( $true
= ( X1 @ X2 @ X17 ) ) )
=> ( ( X1 @ X2 @ X16 )
= $true ) )
& ! [X4: b,X5: b,X3: b] :
( ( ! [X6: b > b > b > $o] :
( ! [X8: b,X9: b,X7: b] :
( ( ? [X13: b,X14: b,X10: b,X11: b,X12: b,X15: b] :
( ( ( cP @ X14 @ X15 )
= X7 )
& ( $true
= ( X6 @ X11 @ X12 @ X14 ) )
& ( ( X6 @ X13 @ X10 @ X15 )
= $true )
& ( ( cP @ X12 @ X10 )
= X9 )
& ( ( cP @ X11 @ X13 )
= X8 ) )
| ( ( c0 = X8 )
& ( X7 = X9 ) )
| ( ( c0 = X9 )
& ( X7 = X8 ) ) )
=> ( $true
= ( X6 @ X8 @ X9 @ X7 ) ) )
=> ( ( X6 @ X4 @ X5 @ X3 )
= $true ) )
& ( ( X1 @ X2 @ X4 )
= $true )
& ( ( X1 @ X2 @ X5 )
= $true ) )
=> ( ( X1 @ X2 @ X3 )
= $true ) )
& ( ( X1 @ X2 @ c0 )
= $true ) ) )
=> ! [X28: c] :
( ! [X29: b,X30: b] :
( ( ! [X32: b > b > b > $o] :
( ! [X34: b,X33: b,X35: b] :
( ( ( ( c0 = X33 )
& ( X34 = X35 ) )
| ( ( X33 = X35 )
& ( c0 = X34 ) )
| ? [X38: b,X40: b,X36: b,X39: b,X37: b,X41: b] :
( ( ( X32 @ X40 @ X38 @ X41 )
= $true )
& ( ( cP @ X38 @ X36 )
= X34 )
& ( ( cP @ X41 @ X39 )
= X35 )
& ( ( cP @ X40 @ X37 )
= X33 )
& ( ( X32 @ X37 @ X36 @ X39 )
= $true ) ) )
=> ( $true
= ( X32 @ X33 @ X34 @ X35 ) ) )
=> ( ( X32 @ X29 @ X30 @ X30 )
= $true ) )
& ! [X31: c > b > $o] :
( ( ( X0 @ X31 )
= $true )
=> ( ( X31 @ X28 @ X30 )
= $true ) ) )
=> ! [X42: c > b > $o] :
( ( $true
= ( X0 @ X42 ) )
=> ( ( X42 @ X28 @ X29 )
= $true ) ) )
& ! [X59: c > b > $o] :
( ( $true
= ( X0 @ X59 ) )
=> ( ( X59 @ X28 @ c0 )
= $true ) )
& ! [X45: b,X44: b,X43: b] :
( ( ! [X57: c > b > $o] :
( ( ( X0 @ X57 )
= $true )
=> ( ( X57 @ X28 @ X43 )
= $true ) )
& ! [X46: c > b > $o] :
( ( ( X0 @ X46 )
= $true )
=> ( ( X46 @ X28 @ X44 )
= $true ) )
& ! [X47: b > b > b > $o] :
( ! [X50: b,X49: b,X48: b] :
( ( ( ( c0 = X48 )
& ( X49 = X50 ) )
| ( ( c0 = X50 )
& ( X48 = X49 ) )
| ? [X54: b,X51: b,X56: b,X55: b,X52: b,X53: b] :
( ( $true
= ( X47 @ X53 @ X52 @ X51 ) )
& ( ( cP @ X51 @ X54 )
= X49 )
& ( $true
= ( X47 @ X56 @ X55 @ X54 ) )
& ( ( cP @ X53 @ X56 )
= X48 )
& ( ( cP @ X52 @ X55 )
= X50 ) ) )
=> ( $true
= ( X47 @ X48 @ X50 @ X49 ) ) )
=> ( $true
= ( X47 @ X43 @ X44 @ X45 ) ) ) )
=> ! [X58: c > b > $o] :
( ( $true
= ( X0 @ X58 ) )
=> ( $true
= ( X58 @ X28 @ X45 ) ) ) ) ) ),
inference(true_and_false_elimination,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X0: ( c > b > $o ) > $o] :
( ! [X1: c > b > $o] :
( ( ( X0 @ X1 )
= $true )
=> ! [X2: c] :
( ( ( X1 @ X2 @ c0 )
= $true )
& ! [X3: b,X4: b,X5: b] :
( ( ! [X6: b > b > b > $o] :
( ( ! [X8: b,X9: b,X7: b] :
( ( ? [X13: b,X14: b,X10: b,X11: b,X12: b,X15: b] :
( ( ( cP @ X14 @ X15 )
= X7 )
& ( $true
= ( X6 @ X11 @ X12 @ X14 ) )
& ( ( X6 @ X13 @ X10 @ X15 )
= $true )
& ( ( cP @ X12 @ X10 )
= X9 )
& ( ( cP @ X11 @ X13 )
= X8 ) )
| ( ( c0 = X8 )
& ( X7 = X9 ) )
| ( ( c0 = X9 )
& ( X7 = X8 ) ) )
=> ( $true
= ( X6 @ X8 @ X9 @ X7 ) ) )
& $true )
=> ( ( X6 @ X4 @ X5 @ X3 )
= $true ) )
& ( ( X1 @ X2 @ X5 )
= $true )
& ( ( X1 @ X2 @ X4 )
= $true ) )
=> ( ( X1 @ X2 @ X3 )
= $true ) )
& ! [X16: b,X17: b] :
( ( ! [X18: b > b > b > $o] :
( ( $true
& ! [X19: b,X20: b,X21: b] :
( ( ( ( X19 = X20 )
& ( c0 = X21 ) )
| ( ( c0 = X20 )
& ( X19 = X21 ) )
| ? [X27: b,X26: b,X24: b,X22: b,X25: b,X23: b] :
( ( ( cP @ X25 @ X27 )
= X21 )
& ( ( cP @ X22 @ X26 )
= X20 )
& ( ( X18 @ X27 @ X26 @ X23 )
= $true )
& ( ( cP @ X24 @ X23 )
= X19 )
& ( ( X18 @ X25 @ X22 @ X24 )
= $true ) ) )
=> ( $true
= ( X18 @ X21 @ X20 @ X19 ) ) ) )
=> ( ( X18 @ X16 @ X17 @ X17 )
= $true ) )
& ( $true
= ( X1 @ X2 @ X17 ) ) )
=> ( ( X1 @ X2 @ X16 )
= $true ) ) ) )
=> ! [X28: c] :
( ! [X29: b,X30: b] :
( ( ! [X31: c > b > $o] :
( ( ( X0 @ X31 )
= $true )
=> ( ( X31 @ X28 @ X30 )
= $true ) )
& ! [X32: b > b > b > $o] :
( ( ! [X34: b,X33: b,X35: b] :
( ( ( ( c0 = X33 )
& ( X34 = X35 ) )
| ( ( X33 = X35 )
& ( c0 = X34 ) )
| ? [X38: b,X40: b,X36: b,X39: b,X37: b,X41: b] :
( ( ( X32 @ X40 @ X38 @ X41 )
= $true )
& ( ( cP @ X38 @ X36 )
= X34 )
& ( ( cP @ X41 @ X39 )
= X35 )
& ( ( cP @ X40 @ X37 )
= X33 )
& ( ( X32 @ X37 @ X36 @ X39 )
= $true ) ) )
=> ( $true
= ( X32 @ X33 @ X34 @ X35 ) ) )
& $true )
=> ( ( X32 @ X29 @ X30 @ X30 )
= $true ) ) )
=> ! [X42: c > b > $o] :
( ( $true
= ( X0 @ X42 ) )
=> ( ( X42 @ X28 @ X29 )
= $true ) ) )
& ! [X43: b,X44: b,X45: b] :
( ( ! [X46: c > b > $o] :
( ( ( X0 @ X46 )
= $true )
=> ( ( X46 @ X28 @ X44 )
= $true ) )
& ! [X47: b > b > b > $o] :
( ( $true
& ! [X50: b,X49: b,X48: b] :
( ( ( ( c0 = X48 )
& ( X49 = X50 ) )
| ( ( c0 = X50 )
& ( X48 = X49 ) )
| ? [X54: b,X51: b,X56: b,X55: b,X52: b,X53: b] :
( ( $true
= ( X47 @ X53 @ X52 @ X51 ) )
& ( ( cP @ X51 @ X54 )
= X49 )
& ( $true
= ( X47 @ X56 @ X55 @ X54 ) )
& ( ( cP @ X53 @ X56 )
= X48 )
& ( ( cP @ X52 @ X55 )
= X50 ) ) )
=> ( $true
= ( X47 @ X48 @ X50 @ X49 ) ) ) )
=> ( $true
= ( X47 @ X43 @ X44 @ X45 ) ) )
& ! [X57: c > b > $o] :
( ( ( X0 @ X57 )
= $true )
=> ( ( X57 @ X28 @ X43 )
= $true ) ) )
=> ! [X58: c > b > $o] :
( ( $true
= ( X0 @ X58 ) )
=> ( $true
= ( X58 @ X28 @ X45 ) ) ) )
& ! [X59: c > b > $o] :
( ( $true
= ( X0 @ X59 ) )
=> ( ( X59 @ X28 @ c0 )
= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: ( c > b > $o ) > $o] :
( ! [X1: c > b > $o] :
( ( X0 @ X1 )
=> ! [X2: c] :
( ( X1 @ X2 @ c0 )
& ! [X3: b,X4: b,X5: b] :
( ( ! [X6: b > b > b > $o] :
( ( ! [X7: b,X8: b,X9: b] :
( ( ? [X10: b,X11: b,X12: b,X13: b,X14: b,X15: b] :
( ( ( cP @ X12 @ X10 )
= X9 )
& ( ( cP @ X14 @ X15 )
= X7 )
& ( X6 @ X13 @ X10 @ X15 )
& ( X6 @ X11 @ X12 @ X14 )
& ( ( cP @ X11 @ X13 )
= X8 ) )
| ( ( X7 = X8 )
& ( c0 = X9 ) )
| ( ( X7 = X9 )
& ( c0 = X8 ) ) )
=> ( X6 @ X8 @ X9 @ X7 ) )
& $true )
=> ( X6 @ X4 @ X5 @ X3 ) )
& ( X1 @ X2 @ X5 )
& ( X1 @ X2 @ X4 ) )
=> ( X1 @ X2 @ X3 ) )
& ! [X16: b,X17: b] :
( ( ! [X18: b > b > b > $o] :
( ( $true
& ! [X19: b,X20: b,X21: b] :
( ( ( ( X19 = X20 )
& ( c0 = X21 ) )
| ? [X22: b,X23: b,X24: b,X25: b,X26: b,X27: b] :
( ( ( cP @ X22 @ X26 )
= X20 )
& ( ( cP @ X24 @ X23 )
= X19 )
& ( X18 @ X27 @ X26 @ X23 )
& ( ( cP @ X25 @ X27 )
= X21 )
& ( X18 @ X25 @ X22 @ X24 ) )
| ( ( c0 = X20 )
& ( X19 = X21 ) ) )
=> ( X18 @ X21 @ X20 @ X19 ) ) )
=> ( X18 @ X16 @ X17 @ X17 ) )
& ( X1 @ X2 @ X17 ) )
=> ( X1 @ X2 @ X16 ) ) ) )
=> ! [X28: c] :
( ! [X29: b,X30: b] :
( ( ! [X31: c > b > $o] :
( ( X0 @ X31 )
=> ( X31 @ X28 @ X30 ) )
& ! [X32: b > b > b > $o] :
( ( ! [X33: b,X34: b,X35: b] :
( ( ? [X36: b,X37: b,X38: b,X39: b,X40: b,X41: b] :
( ( X32 @ X40 @ X38 @ X41 )
& ( ( cP @ X41 @ X39 )
= X35 )
& ( ( cP @ X38 @ X36 )
= X34 )
& ( X32 @ X37 @ X36 @ X39 )
& ( ( cP @ X40 @ X37 )
= X33 ) )
| ( ( c0 = X33 )
& ( X34 = X35 ) )
| ( ( X33 = X35 )
& ( c0 = X34 ) ) )
=> ( X32 @ X33 @ X34 @ X35 ) )
& $true )
=> ( X32 @ X29 @ X30 @ X30 ) ) )
=> ! [X42: c > b > $o] :
( ( X0 @ X42 )
=> ( X42 @ X28 @ X29 ) ) )
& ! [X43: b,X44: b,X45: b] :
( ( ! [X46: c > b > $o] :
( ( X0 @ X46 )
=> ( X46 @ X28 @ X44 ) )
& ! [X47: b > b > b > $o] :
( ( $true
& ! [X48: b,X49: b,X50: b] :
( ( ( ( X48 = X49 )
& ( c0 = X50 ) )
| ( ( X49 = X50 )
& ( c0 = X48 ) )
| ? [X51: b,X52: b,X53: b,X54: b,X55: b,X56: b] :
( ( X47 @ X56 @ X55 @ X54 )
& ( ( cP @ X51 @ X54 )
= X49 )
& ( ( cP @ X53 @ X56 )
= X48 )
& ( X47 @ X53 @ X52 @ X51 )
& ( ( cP @ X52 @ X55 )
= X50 ) ) )
=> ( X47 @ X48 @ X50 @ X49 ) ) )
=> ( X47 @ X43 @ X44 @ X45 ) )
& ! [X57: c > b > $o] :
( ( X0 @ X57 )
=> ( X57 @ X28 @ X43 ) ) )
=> ! [X58: c > b > $o] :
( ( X0 @ X58 )
=> ( X58 @ X28 @ X45 ) ) )
& ! [X59: c > b > $o] :
( ( X0 @ X59 )
=> ( X59 @ X28 @ c0 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( c > b > $o ) > $o] :
( ! [X1: c > b > $o] :
( ( X0 @ X1 )
=> ! [X2: c] :
( ( X1 @ X2 @ c0 )
& ! [X15: b,X3: b,X4: b] :
( ( ! [X5: b > b > b > $o] :
( ( ! [X8: b,X6: b,X7: b] :
( ( ? [X12: b,X9: b,X11: b,X10: b,X13: b,X14: b] :
( ( ( cP @ X11 @ X12 )
= X7 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( X5 @ X10 @ X12 @ X14 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X9 @ X10 )
= X6 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) )
| ( ( X7 = X8 )
& ( c0 = X6 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) )
& $true )
=> ( X5 @ X3 @ X4 @ X15 ) )
& ( X1 @ X2 @ X4 )
& ( X1 @ X2 @ X3 ) )
=> ( X1 @ X2 @ X15 ) )
& ! [X3: b,X4: b] :
( ( ! [X5: b > b > b > $o] :
( ( $true
& ! [X8: b,X7: b,X6: b] :
( ( ( ( X7 = X8 )
& ( c0 = X6 ) )
| ? [X11: b,X14: b,X13: b,X9: b,X12: b,X10: b] :
( ( ( cP @ X11 @ X12 )
= X7 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( X5 @ X10 @ X12 @ X14 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( X5 @ X9 @ X11 @ X13 ) )
| ( ( c0 = X7 )
& ( X6 = X8 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ X3 @ X4 @ X4 ) )
& ( X1 @ X2 @ X4 ) )
=> ( X1 @ X2 @ X3 ) ) ) )
=> ! [X2: c] :
( ! [X1: b,X4: b] :
( ( ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X4 ) )
& ! [X5: b > b > b > $o] :
( ( ! [X6: b,X7: b,X8: b] :
( ( ? [X12: b,X10: b,X11: b,X14: b,X9: b,X13: b] :
( ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X11 @ X12 )
= X7 )
& ( X5 @ X10 @ X12 @ X14 )
& ( ( cP @ X9 @ X10 )
= X6 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) )
& $true )
=> ( X5 @ X1 @ X4 @ X4 ) ) )
=> ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X1 ) ) )
& ! [X1: b,X4: b,X15: b] :
( ( ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X4 ) )
& ! [X5: b > b > b > $o] :
( ( $true
& ! [X6: b,X8: b,X7: b] :
( ( ( ( X6 = X8 )
& ( c0 = X7 ) )
| ( ( X7 = X8 )
& ( c0 = X6 ) )
| ? [X13: b,X11: b,X9: b,X14: b,X12: b,X10: b] :
( ( X5 @ X10 @ X12 @ X14 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X11 @ X12 )
= X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ X1 @ X4 @ X15 ) )
& ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X1 ) ) )
=> ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X15 ) ) )
& ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ c0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: ( c > b > $o ) > $o] :
( ! [X1: c > b > $o] :
( ( X0 @ X1 )
=> ! [X2: c] :
( ( X1 @ X2 @ c0 )
& ! [X15: b,X3: b,X4: b] :
( ( ! [X5: b > b > b > $o] :
( ( ! [X8: b,X6: b,X7: b] :
( ( ? [X12: b,X9: b,X11: b,X10: b,X13: b,X14: b] :
( ( ( cP @ X11 @ X12 )
= X7 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( X5 @ X10 @ X12 @ X14 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X9 @ X10 )
= X6 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) )
| ( ( X7 = X8 )
& ( c0 = X6 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) )
& $true )
=> ( X5 @ X3 @ X4 @ X15 ) )
& ( X1 @ X2 @ X4 )
& ( X1 @ X2 @ X3 ) )
=> ( X1 @ X2 @ X15 ) )
& ! [X3: b,X4: b] :
( ( ! [X5: b > b > b > $o] :
( ( $true
& ! [X8: b,X7: b,X6: b] :
( ( ( ( X7 = X8 )
& ( c0 = X6 ) )
| ? [X11: b,X14: b,X13: b,X9: b,X12: b,X10: b] :
( ( ( cP @ X11 @ X12 )
= X7 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( X5 @ X10 @ X12 @ X14 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( X5 @ X9 @ X11 @ X13 ) )
| ( ( c0 = X7 )
& ( X6 = X8 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ X3 @ X4 @ X4 ) )
& ( X1 @ X2 @ X4 ) )
=> ( X1 @ X2 @ X3 ) ) ) )
=> ! [X2: c] :
( ! [X1: b,X4: b] :
( ( ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X4 ) )
& ! [X5: b > b > b > $o] :
( ( ! [X6: b,X7: b,X8: b] :
( ( ? [X12: b,X10: b,X11: b,X14: b,X9: b,X13: b] :
( ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X11 @ X12 )
= X7 )
& ( X5 @ X10 @ X12 @ X14 )
& ( ( cP @ X9 @ X10 )
= X6 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) )
| ( ( X6 = X8 )
& ( c0 = X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) )
& $true )
=> ( X5 @ X1 @ X4 @ X4 ) ) )
=> ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X1 ) ) )
& ! [X1: b,X4: b,X15: b] :
( ( ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X4 ) )
& ! [X5: b > b > b > $o] :
( ( $true
& ! [X6: b,X8: b,X7: b] :
( ( ( ( X6 = X8 )
& ( c0 = X7 ) )
| ( ( X7 = X8 )
& ( c0 = X6 ) )
| ? [X13: b,X11: b,X9: b,X14: b,X12: b,X10: b] :
( ( X5 @ X10 @ X12 @ X14 )
& ( ( cP @ X13 @ X14 )
= X8 )
& ( ( cP @ X9 @ X10 )
= X6 )
& ( X5 @ X9 @ X11 @ X13 )
& ( ( cP @ X11 @ X12 )
= X7 ) ) )
=> ( X5 @ X6 @ X7 @ X8 ) ) )
=> ( X5 @ X1 @ X4 @ X15 ) )
& ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X1 ) ) )
=> ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ X15 ) ) )
& ! [X5: c > b > $o] :
( ( X0 @ X5 )
=> ( X5 @ X2 @ c0 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7u86P8aq6a/DTF2THF_24928.p',cCS_DUC_RELNS_pme) ).
thf(f1841,plain,
( spl34_29
| ~ spl34_1
| ~ spl34_32 ),
inference(avatar_split_clause,[status(thm)],[f1840,f426,f94,f404]) ).
thf(f94,definition,
( spl34_1
<=> ( $true
= ( sP2 @ sK30 @ sK29 ) ) ),
introduced(definition,[new_symbols(naming,[spl34_1])],[avatar_definition]) ).
thf(f1840,plain,
( ! [X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) ) )
| ~ spl34_1
| ~ spl34_32 ),
inference(trivial_inequality_removal,[status(thm)],[f1839]) ).
thf(f1839,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( $true
!= ( sK29 @ X0 ) )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true != $true )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true ) )
| ~ spl34_1
| ~ spl34_32 ),
inference(forward_demodulation,[status(thm)],[f1838,f96]) ).
thf(f96,plain,
( ( $true
= ( sP2 @ sK30 @ sK29 ) )
| ~ spl34_1 ),
inference(avatar_component_clause,[status(thm)],[f94]) ).
thf(f1838,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
!= ( sP2 @ sK30 @ sK29 ) )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_32 ),
inference(trivial_inequality_removal,[status(thm)],[f1837]) ).
thf(f1837,plain,
( ! [X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( sP2 @ sK30 @ sK29 ) ) )
| ~ spl34_32 ),
inference(superposition,[status(thm)],[f68,f427]) ).
thf(f427,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true )
| ( ( sP2 @ X0 @ X1 )
!= $true ) )
| ~ spl34_32 ),
inference(avatar_component_clause,[status(thm)],[f426]) ).
thf(f68,plain,
! [X3: c > b > $o,X18: b,X19: b,X4: c,X17: b] :
( ( ( sK33 @ X19 @ X18 @ X17 @ X18 @ X19 @ X17 )
!= $true )
| ( $true
!= ( X3 @ X4 @ X18 ) )
| ( $true
!= ( sK29 @ X3 ) )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f1831,plain,
( ~ spl34_19
| spl34_7
| ~ spl34_10
| ~ spl34_15 ),
inference(avatar_split_clause,[status(thm)],[f1830,f231,f207,f196,f260]) ).
thf(f260,definition,
( spl34_19
<=> ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ c0 @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_19])],[avatar_definition]) ).
thf(f196,definition,
( spl34_7
<=> ! [X0: ( c > b > $o ) > $o,X1: c] :
( ( ( sP3 @ X0 @ X1 )
!= $true )
| ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK4 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_7])],[avatar_definition]) ).
thf(f207,definition,
( spl34_10
<=> ( ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_10])],[avatar_definition]) ).
thf(f231,definition,
( spl34_15
<=> ( c0
= ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_15])],[avatar_definition]) ).
thf(f1830,plain,
( ! [X0: ( c > b > $o ) > $o,X1: c] :
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ c0 @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| ( ( sP3 @ X0 @ X1 )
!= $true )
| ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK4 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) ) ) )
| ~ spl34_10
| ~ spl34_15 ),
inference(forward_demodulation,[status(thm)],[f1829,f233]) ).
thf(f233,plain,
( ( c0
= ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
| ~ spl34_15 ),
inference(avatar_component_clause,[status(thm)],[f231]) ).
thf(f1829,plain,
( ! [X0: ( c > b > $o ) > $o,X1: c] :
( ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK4 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) ) )
| ( $true
!= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) )
| ( ( sP3 @ X0 @ X1 )
!= $true ) )
| ~ spl34_10 ),
inference(superposition,[status(thm)],[f45,f209]) ).
thf(f209,plain,
( ( ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
| ~ spl34_10 ),
inference(avatar_component_clause,[status(thm)],[f207]) ).
thf(f45,plain,
! [X0: c,X1: ( c > b > $o ) > $o,X6: b > b > b > $o] :
( ( $true
!= ( sP3 @ X1 @ X0 ) )
| ( $true
!= ( X6 @ ( sK7 @ X6 ) @ ( sK9 @ X6 ) @ ( sK8 @ X6 ) ) )
| ( ( X6 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( ( sK6 @ X1 @ X0 @ X0 @ ( sK4 @ X1 @ X0 ) )
!= $true )
& ( ( X1 @ ( sK6 @ X1 @ X0 ) )
= $true )
& ! [X5: c > b > $o] :
( ( ( X1 @ X5 )
!= $true )
| ( $true
= ( X5 @ X0 @ ( sK5 @ X1 @ X0 ) ) ) )
& ! [X6: b > b > b > $o] :
( ( ( $true
!= ( X6 @ ( sK7 @ X6 ) @ ( sK9 @ X6 ) @ ( sK8 @ X6 ) ) )
& ( ( ( c0
= ( sK7 @ X6 ) )
& ( ( sK9 @ X6 )
= ( sK8 @ X6 ) ) )
| ( ( ( sK7 @ X6 )
= ( sK8 @ X6 ) )
& ( c0
= ( sK9 @ X6 ) ) )
| ( ( sP0 @ ( sK7 @ X6 ) @ ( sK8 @ X6 ) @ ( sK9 @ X6 ) @ X6 )
= $true ) ) )
| ( ( X6 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) )
= $true ) ) )
| ( $true
!= ( sP3 @ X1 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f15,f18,f17,f16]) ).
thf(f16,plain,
! [X0: c,X1: ( c > b > $o ) > $o] :
( ? [X2: b,X3: b] :
( ? [X4: c > b > $o] :
( ( ( X4 @ X0 @ X2 )
!= $true )
& ( $true
= ( X1 @ X4 ) ) )
& ! [X5: c > b > $o] :
( ( ( X1 @ X5 )
!= $true )
| ( ( X5 @ X0 @ X3 )
= $true ) )
& ! [X6: b > b > b > $o] :
( ? [X7: b,X8: b,X9: b] :
( ( $true
!= ( X6 @ X7 @ X9 @ X8 ) )
& ( ( ( c0 = X7 )
& ( X8 = X9 ) )
| ( ( X7 = X8 )
& ( c0 = X9 ) )
| ( $true
= ( sP0 @ X7 @ X8 @ X9 @ X6 ) ) ) )
| ( $true
= ( X6 @ X2 @ X3 @ X3 ) ) ) )
=> ( ? [X4: c > b > $o] :
( ( $true
!= ( X4 @ X0 @ ( sK4 @ X1 @ X0 ) ) )
& ( $true
= ( X1 @ X4 ) ) )
& ! [X5: c > b > $o] :
( ( ( X1 @ X5 )
!= $true )
| ( $true
= ( X5 @ X0 @ ( sK5 @ X1 @ X0 ) ) ) )
& ! [X6: b > b > b > $o] :
( ? [X7: b,X8: b,X9: b] :
( ( $true
!= ( X6 @ X7 @ X9 @ X8 ) )
& ( ( ( c0 = X7 )
& ( X8 = X9 ) )
| ( ( X7 = X8 )
& ( c0 = X9 ) )
| ( $true
= ( sP0 @ X7 @ X8 @ X9 @ X6 ) ) ) )
| ( ( X6 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17,plain,
! [X0: c,X1: ( c > b > $o ) > $o] :
( ? [X4: c > b > $o] :
( ( $true
!= ( X4 @ X0 @ ( sK4 @ X1 @ X0 ) ) )
& ( $true
= ( X1 @ X4 ) ) )
=> ( ( ( sK6 @ X1 @ X0 @ X0 @ ( sK4 @ X1 @ X0 ) )
!= $true )
& ( ( X1 @ ( sK6 @ X1 @ X0 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18,plain,
! [X6: b > b > b > $o] :
( ? [X7: b,X8: b,X9: b] :
( ( $true
!= ( X6 @ X7 @ X9 @ X8 ) )
& ( ( ( c0 = X7 )
& ( X8 = X9 ) )
| ( ( X7 = X8 )
& ( c0 = X9 ) )
| ( $true
= ( sP0 @ X7 @ X8 @ X9 @ X6 ) ) ) )
=> ( ( $true
!= ( X6 @ ( sK7 @ X6 ) @ ( sK9 @ X6 ) @ ( sK8 @ X6 ) ) )
& ( ( ( c0
= ( sK7 @ X6 ) )
& ( ( sK9 @ X6 )
= ( sK8 @ X6 ) ) )
| ( ( ( sK7 @ X6 )
= ( sK8 @ X6 ) )
& ( c0
= ( sK9 @ X6 ) ) )
| ( ( sP0 @ ( sK7 @ X6 ) @ ( sK8 @ X6 ) @ ( sK9 @ X6 ) @ X6 )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15,plain,
! [X0: c,X1: ( c > b > $o ) > $o] :
( ? [X2: b,X3: b] :
( ? [X4: c > b > $o] :
( ( ( X4 @ X0 @ X2 )
!= $true )
& ( $true
= ( X1 @ X4 ) ) )
& ! [X5: c > b > $o] :
( ( ( X1 @ X5 )
!= $true )
| ( ( X5 @ X0 @ X3 )
= $true ) )
& ! [X6: b > b > b > $o] :
( ? [X7: b,X8: b,X9: b] :
( ( $true
!= ( X6 @ X7 @ X9 @ X8 ) )
& ( ( ( c0 = X7 )
& ( X8 = X9 ) )
| ( ( X7 = X8 )
& ( c0 = X9 ) )
| ( $true
= ( sP0 @ X7 @ X8 @ X9 @ X6 ) ) ) )
| ( $true
= ( X6 @ X2 @ X3 @ X3 ) ) ) )
| ( $true
!= ( sP3 @ X1 @ X0 ) ) ),
inference(rectify,[status(thm)],[f14]) ).
thf(f14,plain,
! [X28: c,X0: ( c > b > $o ) > $o] :
( ? [X29: b,X30: b] :
( ? [X42: c > b > $o] :
( ( ( X42 @ X28 @ X29 )
!= $true )
& ( $true
= ( X0 @ X42 ) ) )
& ! [X31: c > b > $o] :
( ( ( X0 @ X31 )
!= $true )
| ( ( X31 @ X28 @ X30 )
= $true ) )
& ! [X32: b > b > b > $o] :
( ? [X33: b,X35: b,X34: b] :
( ( $true
!= ( X32 @ X33 @ X34 @ X35 ) )
& ( ( ( c0 = X33 )
& ( X34 = X35 ) )
| ( ( X33 = X35 )
& ( c0 = X34 ) )
| ( $true
= ( sP0 @ X33 @ X35 @ X34 @ X32 ) ) ) )
| ( ( X32 @ X29 @ X30 @ X30 )
= $true ) ) )
| ( ( sP3 @ X0 @ X28 )
!= $true ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
thf(f1639,plain,
( ~ spl34_59
| ~ spl34_1
| spl34_58 ),
inference(avatar_split_clause,[status(thm)],[f1634,f692,f94,f710]) ).
thf(f710,definition,
( spl34_59
<=> ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_59])],[avatar_definition]) ).
thf(f692,definition,
( spl34_58
<=> ( ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK10 @ sK30 @ sK29 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_58])],[avatar_definition]) ).
thf(f1634,plain,
( ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
!= $true )
| ~ spl34_1
| spl34_58 ),
inference(trivial_inequality_removal,[status(thm)],[f1633]) ).
thf(f1633,plain,
( ( $true != $true )
| ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
!= $true )
| ~ spl34_1
| spl34_58 ),
inference(superposition,[status(thm)],[f694,f1609]) ).
thf(f1609,plain,
( ! [X0: c > b > $o] :
( ( $true
= ( X0 @ sK30 @ ( sK10 @ sK30 @ sK29 ) ) )
| ( $true
!= ( sK29 @ X0 ) ) )
| ~ spl34_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1603]) ).
thf(f1603,plain,
( ! [X0: c > b > $o] :
( ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ sK30 @ ( sK10 @ sK30 @ sK29 ) ) )
| ( $true != $true ) )
| ~ spl34_1 ),
inference(superposition,[status(thm)],[f56,f96]) ).
thf(f56,plain,
! [X0: ( c > b > $o ) > $o,X1: c,X6: c > b > $o] :
( ( $true
!= ( X0 @ X6 ) )
| ( ( sP2 @ X1 @ X0 )
!= $true )
| ( ( X6 @ X1 @ ( sK10 @ X1 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f694,plain,
( ( ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| spl34_58 ),
inference(avatar_component_clause,[status(thm)],[f692]) ).
thf(f1625,plain,
( ~ spl34_57
| ~ spl34_58
| ~ spl34_1
| ~ spl34_29
| ~ spl34_59 ),
inference(avatar_split_clause,[status(thm)],[f1624,f710,f404,f94,f692,f688]) ).
thf(f688,definition,
( spl34_57
<=> ( $true
= ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK11 @ sK30 @ sK29 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_57])],[avatar_definition]) ).
thf(f1624,plain,
( ( ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK11 @ sK30 @ sK29 ) ) )
| ~ spl34_1
| ~ spl34_29
| ~ spl34_59 ),
inference(trivial_inequality_removal,[status(thm)],[f1623]) ).
thf(f1623,plain,
( ( $true != $true )
| ( $true
!= ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK11 @ sK30 @ sK29 ) ) )
| ( ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ~ spl34_1
| ~ spl34_29
| ~ spl34_59 ),
inference(forward_demodulation,[status(thm)],[f1622,f711]) ).
thf(f711,plain,
( ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
= $true )
| ~ spl34_59 ),
inference(avatar_component_clause,[status(thm)],[f710]) ).
thf(f1622,plain,
( ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
!= $true )
| ( ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK11 @ sK30 @ sK29 ) ) )
| ~ spl34_1
| ~ spl34_29 ),
inference(trivial_inequality_removal,[status(thm)],[f1621]) ).
thf(f1621,plain,
( ( ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true != $true )
| ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK11 @ sK30 @ sK29 ) ) )
| ~ spl34_1
| ~ spl34_29 ),
inference(superposition,[status(thm)],[f1611,f405]) ).
thf(f405,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( $true
!= ( sK29 @ X0 ) )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true ) )
| ~ spl34_29 ),
inference(avatar_component_clause,[status(thm)],[f404]) ).
thf(f1611,plain,
( ( $true
!= ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK12 @ sK30 @ sK29 ) ) )
| ~ spl34_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1597]) ).
thf(f1597,plain,
( ( $true
!= ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( $true != $true )
| ~ spl34_1 ),
inference(superposition,[status(thm)],[f50,f96]) ).
thf(f50,plain,
! [X0: ( c > b > $o ) > $o,X1: c] :
( ( ( sK16 @ X1 @ X0 @ X1 @ ( sK12 @ X1 @ X0 ) )
!= $true )
| ( ( sP2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f1614,plain,
( spl34_59
| ~ spl34_1 ),
inference(avatar_split_clause,[status(thm)],[f1607,f94,f710]) ).
thf(f1607,plain,
( ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
= $true )
| ~ spl34_1 ),
inference(trivial_inequality_removal,[status(thm)],[f1596]) ).
thf(f1596,plain,
( ( $true != $true )
| ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
= $true )
| ~ spl34_1 ),
inference(superposition,[status(thm)],[f49,f96]) ).
thf(f49,plain,
! [X0: ( c > b > $o ) > $o,X1: c] :
( ( ( X0 @ ( sK16 @ X1 @ X0 ) )
= $true )
| ( ( sP2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f1556,plain,
( spl34_6
| ~ spl34_8
| ~ spl34_8
| ~ spl34_88 ),
inference(avatar_split_clause,[status(thm)],[f1555,f1522,f199,f199,f167]) ).
thf(f167,definition,
( spl34_6
<=> ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_6])],[avatar_definition]) ).
thf(f199,definition,
( spl34_8
<=> ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_8])],[avatar_definition]) ).
thf(f1522,definition,
( spl34_88
<=> ! [X0: b,X1: b] :
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ X0 @ X1 @ ( sK28 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( cP @ X0 @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( cP @ X1 @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl34_88])],[avatar_definition]) ).
thf(f1555,plain,
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true )
| ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
!= $true )
| ~ spl34_8
| ~ spl34_88 ),
inference(forward_demodulation,[status(thm)],[f1551,f959]) ).
thf(f959,plain,
( ( ( cP @ ( sK24 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
| ~ spl34_8 ),
inference(trivial_inequality_removal,[status(thm)],[f954]) ).
thf(f954,plain,
( ( ( cP @ ( sK24 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
| ( $true != $true )
| ~ spl34_8 ),
inference(superposition,[status(thm)],[f64,f201]) ).
thf(f201,plain,
( ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= $true )
| ~ spl34_8 ),
inference(avatar_component_clause,[status(thm)],[f199]) ).
thf(f64,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( ( sP0 @ X3 @ X2 @ X1 @ X0 )
!= $true )
| ( ( cP @ ( sK24 @ X3 @ X2 @ X1 @ X0 ) @ ( sK27 @ X3 @ X2 @ X1 @ X0 ) )
= X3 ) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f33,plain,
! [X0: b > b > b > $o,X1: b,X2: b,X3: b] :
( ( ( ( X0 @ ( sK24 @ X3 @ X2 @ X1 @ X0 ) @ ( sK23 @ X3 @ X2 @ X1 @ X0 ) @ ( sK28 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( ( cP @ ( sK23 @ X3 @ X2 @ X1 @ X0 ) @ ( sK25 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
& ( ( cP @ ( sK28 @ X3 @ X2 @ X1 @ X0 ) @ ( sK26 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
& ( ( cP @ ( sK24 @ X3 @ X2 @ X1 @ X0 ) @ ( sK27 @ X3 @ X2 @ X1 @ X0 ) )
= X3 )
& ( ( X0 @ ( sK27 @ X3 @ X2 @ X1 @ X0 ) @ ( sK25 @ X3 @ X2 @ X1 @ X0 ) @ ( sK26 @ X3 @ X2 @ X1 @ X0 ) )
= $true ) )
| ( ( sP0 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27,sK28])],[f31,f32]) ).
thf(f32,plain,
! [X0: b > b > b > $o,X1: b,X2: b,X3: b] :
( ? [X4: b,X5: b,X6: b,X7: b,X8: b,X9: b] :
( ( ( X0 @ X5 @ X4 @ X9 )
= $true )
& ( ( cP @ X4 @ X6 )
= X1 )
& ( ( cP @ X9 @ X7 )
= X2 )
& ( ( cP @ X5 @ X8 )
= X3 )
& ( ( X0 @ X8 @ X6 @ X7 )
= $true ) )
=> ( ( ( X0 @ ( sK24 @ X3 @ X2 @ X1 @ X0 ) @ ( sK23 @ X3 @ X2 @ X1 @ X0 ) @ ( sK28 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
& ( ( cP @ ( sK23 @ X3 @ X2 @ X1 @ X0 ) @ ( sK25 @ X3 @ X2 @ X1 @ X0 ) )
= X1 )
& ( ( cP @ ( sK28 @ X3 @ X2 @ X1 @ X0 ) @ ( sK26 @ X3 @ X2 @ X1 @ X0 ) )
= X2 )
& ( ( cP @ ( sK24 @ X3 @ X2 @ X1 @ X0 ) @ ( sK27 @ X3 @ X2 @ X1 @ X0 ) )
= X3 )
& ( ( X0 @ ( sK27 @ X3 @ X2 @ X1 @ X0 ) @ ( sK25 @ X3 @ X2 @ X1 @ X0 ) @ ( sK26 @ X3 @ X2 @ X1 @ X0 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f31,plain,
! [X0: b > b > b > $o,X1: b,X2: b,X3: b] :
( ? [X4: b,X5: b,X6: b,X7: b,X8: b,X9: b] :
( ( ( X0 @ X5 @ X4 @ X9 )
= $true )
& ( ( cP @ X4 @ X6 )
= X1 )
& ( ( cP @ X9 @ X7 )
= X2 )
& ( ( cP @ X5 @ X8 )
= X3 )
& ( ( X0 @ X8 @ X6 @ X7 )
= $true ) )
| ( ( sP0 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(rectify,[status(thm)],[f30]) ).
thf(f30,plain,
! [X32: b > b > b > $o,X34: b,X35: b,X33: b] :
( ? [X38: b,X40: b,X36: b,X39: b,X37: b,X41: b] :
( ( ( X32 @ X40 @ X38 @ X41 )
= $true )
& ( ( cP @ X38 @ X36 )
= X34 )
& ( ( cP @ X41 @ X39 )
= X35 )
& ( ( cP @ X40 @ X37 )
= X33 )
& ( ( X32 @ X37 @ X36 @ X39 )
= $true ) )
| ( $true
!= ( sP0 @ X33 @ X35 @ X34 @ X32 ) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
thf(f1551,plain,
( ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( cP @ ( sK24 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) )
| ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
!= $true )
| ~ spl34_8
| ~ spl34_88 ),
inference(trivial_inequality_removal,[status(thm)],[f1550]) ).
thf(f1550,plain,
( ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( cP @ ( sK24 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) )
| ~ spl34_8
| ~ spl34_88 ),
inference(superposition,[status(thm)],[f1525,f67]) ).
thf(f67,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( ( X0 @ ( sK24 @ X3 @ X2 @ X1 @ X0 ) @ ( sK23 @ X3 @ X2 @ X1 @ X0 ) @ ( sK28 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
| ( ( sP0 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f1525,plain,
( ! [X0: b] :
( ( $true
!= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ X0 @ ( sK23 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK28 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( cP @ X0 @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true ) )
| ~ spl34_8
| ~ spl34_88 ),
inference(superposition,[status(thm)],[f1523,f957]) ).
thf(f957,plain,
( ( ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= ( cP @ ( sK23 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) )
| ~ spl34_8 ),
inference(trivial_inequality_removal,[status(thm)],[f952]) ).
thf(f952,plain,
( ( $true != $true )
| ( ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= ( cP @ ( sK23 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) )
| ~ spl34_8 ),
inference(superposition,[status(thm)],[f66,f201]) ).
thf(f66,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( ( sP0 @ X3 @ X2 @ X1 @ X0 )
!= $true )
| ( ( cP @ ( sK23 @ X3 @ X2 @ X1 @ X0 ) @ ( sK25 @ X3 @ X2 @ X1 @ X0 ) )
= X1 ) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f1523,plain,
( ! [X0: b,X1: b] :
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( cP @ X0 @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( cP @ X1 @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ X0 @ X1 @ ( sK28 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true ) )
| ~ spl34_88 ),
inference(avatar_component_clause,[status(thm)],[f1522]) ).
thf(f1524,plain,
( spl34_88
| spl34_5
| ~ spl34_8 ),
inference(avatar_split_clause,[status(thm)],[f1520,f199,f164,f1522]) ).
thf(f164,definition,
( spl34_5
<=> ! [X0: c > b > $o,X1: c] :
( ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) )
| ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true
!= ( sK29 @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl34_5])],[avatar_definition]) ).
thf(f1520,plain,
( ! [X2: c > b > $o,X3: c,X0: b,X1: b] :
( ( ( X2 @ X3 @ ( sK4 @ sK29 @ sK30 ) )
= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ X0 @ X1 @ ( sK28 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| ( ( X2 @ X3 @ ( sK5 @ sK29 @ sK30 ) )
!= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( cP @ X0 @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( cP @ X1 @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true )
| ( $true
!= ( sK29 @ X2 ) ) )
| ~ spl34_8 ),
inference(trivial_inequality_removal,[status(thm)],[f1519]) ).
thf(f1519,plain,
( ! [X2: c > b > $o,X3: c,X0: b,X1: b] :
( ( $true != $true )
| ( ( X2 @ X3 @ ( sK4 @ sK29 @ sK30 ) )
= $true )
| ( $true
!= ( sK29 @ X2 ) )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ X0 @ X1 @ ( sK28 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| ( ( X2 @ X3 @ ( sK5 @ sK29 @ sK30 ) )
!= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( cP @ X0 @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( cP @ X1 @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true ) )
| ~ spl34_8 ),
inference(forward_demodulation,[status(thm)],[f1516,f201]) ).
thf(f1516,plain,
( ! [X2: c > b > $o,X3: c,X0: b,X1: b] :
( ( ( X2 @ X3 @ ( sK4 @ sK29 @ sK30 ) )
= $true )
| ( ( X2 @ X3 @ ( sK5 @ sK29 @ sK30 ) )
!= $true )
| ( $true
!= ( sK29 @ X2 ) )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ X0 @ X1 @ ( sK28 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
!= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( cP @ X0 @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( cP @ X1 @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true ) )
| ~ spl34_8 ),
inference(trivial_inequality_removal,[status(thm)],[f1510]) ).
thf(f1510,plain,
( ! [X2: c > b > $o,X3: c,X0: b,X1: b] :
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( cP @ X0 @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( cP @ X1 @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true )
| ( ( X2 @ X3 @ ( sK4 @ sK29 @ sK30 ) )
= $true )
| ( $true
!= ( sK29 @ X2 ) )
| ( $true != $true )
| ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
!= $true )
| ( ( X2 @ X3 @ ( sK5 @ sK29 @ sK30 ) )
!= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ X0 @ X1 @ ( sK28 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true ) )
| ~ spl34_8 ),
inference(superposition,[status(thm)],[f1039,f958]) ).
thf(f958,plain,
( ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK26 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) )
| ~ spl34_8 ),
inference(trivial_inequality_removal,[status(thm)],[f950]) ).
thf(f950,plain,
( ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK27 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK25 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK26 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) )
| ( $true != $true )
| ~ spl34_8 ),
inference(superposition,[status(thm)],[f63,f201]) ).
thf(f63,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( ( X0 @ ( sK27 @ X3 @ X2 @ X1 @ X0 ) @ ( sK25 @ X3 @ X2 @ X1 @ X0 ) @ ( sK26 @ X3 @ X2 @ X1 @ X0 ) )
= $true )
| ( ( sP0 @ X3 @ X2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f1039,plain,
! [X2: b,X3: b > b > b > $o,X10: c > b > $o,X0: b,X11: c,X1: b,X8: b,X6: b,X9: b,X7: b,X4: b,X5: b] :
( ( $true
!= ( sK32 @ X4 @ X5 @ X7 @ X9 @ ( sK26 @ X0 @ X1 @ X2 @ X3 ) ) )
| ( ( sK32 @ X4 @ X5 @ X6 @ X8 @ ( sK28 @ X0 @ X1 @ X2 @ X3 ) )
!= $true )
| ( ( sK32 @ X4 @ X5 @ ( cP @ X6 @ X7 ) @ ( cP @ X8 @ X9 ) @ X1 )
= $true )
| ( ( sP0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( ( X10 @ X11 @ X5 )
!= $true )
| ( $true
= ( X10 @ X11 @ X4 ) )
| ( ( sK29 @ X10 )
!= $true ) ),
inference(superposition,[status(thm)],[f85,f65]) ).
thf(f65,plain,
! [X2: b,X3: b,X0: b > b > b > $o,X1: b] :
( ( ( sP0 @ X3 @ X2 @ X1 @ X0 )
!= $true )
| ( ( cP @ ( sK28 @ X3 @ X2 @ X1 @ X0 ) @ ( sK26 @ X3 @ X2 @ X1 @ X0 ) )
= X2 ) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f85,plain,
! [X3: c > b > $o,X11: b,X6: b,X16: b,X14: b,X4: c,X15: b,X5: b,X12: b,X13: b] :
( ( $true
= ( sK32 @ X6 @ X5 @ ( cP @ X14 @ X12 ) @ ( cP @ X16 @ X11 ) @ ( cP @ X15 @ X13 ) ) )
| ( ( sK32 @ X6 @ X5 @ X14 @ X16 @ X15 )
!= $true )
| ( $true
!= ( sK32 @ X6 @ X5 @ X12 @ X11 @ X13 ) )
| ( $true
!= ( sK29 @ X3 ) )
| ( ( X3 @ X4 @ X5 )
!= $true )
| ( ( X3 @ X4 @ X6 )
= $true ) ),
inference(equality_resolution,[status(thm)],[f84]) ).
thf(f84,plain,
! [X3: c > b > $o,X10: b,X11: b,X6: b,X16: b,X14: b,X4: c,X15: b,X5: b,X12: b,X13: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( $true
!= ( sK32 @ X6 @ X5 @ X12 @ X11 @ X13 ) )
| ( ( sK32 @ X6 @ X5 @ X14 @ X16 @ X15 )
!= $true )
| ( ( cP @ X15 @ X13 )
!= X10 )
| ( ( sK32 @ X6 @ X5 @ ( cP @ X14 @ X12 ) @ ( cP @ X16 @ X11 ) @ X10 )
= $true )
| ( ( X3 @ X4 @ X6 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(equality_resolution,[status(thm)],[f83]) ).
thf(f83,plain,
! [X3: c > b > $o,X10: b,X11: b,X6: b,X9: b,X16: b,X14: b,X4: c,X15: b,X5: b,X12: b,X13: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( $true
!= ( sK32 @ X6 @ X5 @ X12 @ X11 @ X13 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( sK32 @ X6 @ X5 @ X14 @ X16 @ X15 )
!= $true )
| ( ( cP @ X15 @ X13 )
!= X10 )
| ( ( sK32 @ X6 @ X5 @ X9 @ ( cP @ X16 @ X11 ) @ X10 )
= $true )
| ( ( X3 @ X4 @ X6 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(equality_resolution,[status(thm)],[f73]) ).
thf(f73,plain,
! [X3: c > b > $o,X10: b,X11: b,X8: b,X6: b,X9: b,X16: b,X14: b,X4: c,X15: b,X5: b,X12: b,X13: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( ( cP @ X16 @ X11 )
!= X8 )
| ( $true
!= ( sK32 @ X6 @ X5 @ X12 @ X11 @ X13 ) )
| ( ( cP @ X14 @ X12 )
!= X9 )
| ( ( sK32 @ X6 @ X5 @ X14 @ X16 @ X15 )
!= $true )
| ( ( cP @ X15 @ X13 )
!= X10 )
| ( ( sK32 @ X6 @ X5 @ X9 @ X8 @ X10 )
= $true )
| ( ( X3 @ X4 @ X6 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f915,plain,
( spl34_8
| spl34_10
| spl34_7
| ~ spl34_20
| spl34_9 ),
inference(avatar_split_clause,[status(thm)],[f909,f203,f271,f196,f207,f199]) ).
thf(f271,definition,
( spl34_20
<=> ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ c0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_20])],[avatar_definition]) ).
thf(f203,definition,
( spl34_9
<=> ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_9])],[avatar_definition]) ).
thf(f909,plain,
( ! [X0: ( c > b > $o ) > $o,X1: c] :
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ c0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK4 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) ) )
| ( ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
| ( ( sP3 @ X0 @ X1 )
!= $true )
| ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= $true ) )
| spl34_9 ),
inference(superposition,[status(thm)],[f205,f41]) ).
thf(f41,plain,
! [X0: c,X1: ( c > b > $o ) > $o,X6: b > b > b > $o] :
( ( ( X6 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) )
= $true )
| ( ( sP0 @ ( sK7 @ X6 ) @ ( sK8 @ X6 ) @ ( sK9 @ X6 ) @ X6 )
= $true )
| ( $true
!= ( sP3 @ X1 @ X0 ) )
| ( c0
= ( sK9 @ X6 ) )
| ( ( sK9 @ X6 )
= ( sK8 @ X6 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f205,plain,
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| spl34_9 ),
inference(avatar_component_clause,[status(thm)],[f203]) ).
thf(f914,plain,
( spl34_7
| ~ spl34_20
| spl34_8
| spl34_15
| spl34_9 ),
inference(avatar_split_clause,[status(thm)],[f910,f203,f231,f199,f271,f196]) ).
thf(f910,plain,
( ! [X0: ( c > b > $o ) > $o,X1: c] :
( ( c0
= ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
| ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= $true )
| ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK4 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) ) )
| ( ( sP3 @ X0 @ X1 )
!= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ c0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true ) )
| spl34_9 ),
inference(superposition,[status(thm)],[f205,f43]) ).
thf(f43,plain,
! [X0: c,X1: ( c > b > $o ) > $o,X6: b > b > b > $o] :
( ( $true
!= ( sP3 @ X1 @ X0 ) )
| ( ( sP0 @ ( sK7 @ X6 ) @ ( sK8 @ X6 ) @ ( sK9 @ X6 ) @ X6 )
= $true )
| ( ( X6 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) )
= $true )
| ( c0
= ( sK7 @ X6 ) )
| ( c0
= ( sK9 @ X6 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f860,plain,
( ~ spl34_9
| spl34_10
| spl34_7
| spl34_8
| spl34_6 ),
inference(avatar_split_clause,[status(thm)],[f847,f167,f199,f196,f207,f203]) ).
thf(f847,plain,
( ! [X0: ( c > b > $o ) > $o,X1: c] :
( ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK4 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) ) )
| ( ( sP3 @ X0 @ X1 )
!= $true )
| ( ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) ) )
| spl34_6 ),
inference(superposition,[status(thm)],[f169,f42]) ).
thf(f42,plain,
! [X0: c,X1: ( c > b > $o ) > $o,X6: b > b > b > $o] :
( ( ( sK9 @ X6 )
= ( sK8 @ X6 ) )
| ( ( sP0 @ ( sK7 @ X6 ) @ ( sK8 @ X6 ) @ ( sK9 @ X6 ) @ X6 )
= $true )
| ( ( sK7 @ X6 )
= ( sK8 @ X6 ) )
| ( $true
!= ( sP3 @ X1 @ X0 ) )
| ( ( X6 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f169,plain,
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| spl34_6 ),
inference(avatar_component_clause,[status(thm)],[f167]) ).
thf(f854,plain,
( spl34_7
| ~ spl34_9
| spl34_8
| spl34_15
| spl34_6 ),
inference(avatar_split_clause,[status(thm)],[f846,f167,f231,f199,f203,f196]) ).
thf(f846,plain,
( ! [X0: ( c > b > $o ) > $o,X1: c] :
( ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK4 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) ) )
| ( ( sP0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) )
= $true )
| ( c0
= ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
| ( ( sP3 @ X0 @ X1 )
!= $true )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true ) )
| spl34_6 ),
inference(superposition,[status(thm)],[f169,f44]) ).
thf(f44,plain,
! [X0: c,X1: ( c > b > $o ) > $o,X6: b > b > b > $o] :
( ( $true
!= ( sP3 @ X1 @ X0 ) )
| ( ( X6 @ ( sK4 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) @ ( sK5 @ X1 @ X0 ) )
= $true )
| ( ( sP0 @ ( sK7 @ X6 ) @ ( sK8 @ X6 ) @ ( sK9 @ X6 ) @ X6 )
= $true )
| ( ( sK7 @ X6 )
= ( sK8 @ X6 ) )
| ( c0
= ( sK7 @ X6 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f843,plain,
( spl34_5
| ~ spl34_3
| ~ spl34_7 ),
inference(avatar_split_clause,[status(thm)],[f842,f196,f102,f164]) ).
thf(f102,definition,
( spl34_3
<=> ( $true
= ( sP3 @ sK29 @ sK30 ) ) ),
introduced(definition,[new_symbols(naming,[spl34_3])],[avatar_definition]) ).
thf(f842,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) ) )
| ~ spl34_3
| ~ spl34_7 ),
inference(trivial_inequality_removal,[status(thm)],[f841]) ).
thf(f841,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
!= ( sK29 @ X0 ) )
| ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) )
| ( $true != $true ) )
| ~ spl34_3
| ~ spl34_7 ),
inference(forward_demodulation,[status(thm)],[f840,f104]) ).
thf(f104,plain,
( ( $true
= ( sP3 @ sK29 @ sK30 ) )
| ~ spl34_3 ),
inference(avatar_component_clause,[status(thm)],[f102]) ).
thf(f840,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) )
| ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
!= ( sP3 @ sK29 @ sK30 ) ) )
| ~ spl34_7 ),
inference(trivial_inequality_removal,[status(thm)],[f839]) ).
thf(f839,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
!= ( sP3 @ sK29 @ sK30 ) )
| ( $true != $true )
| ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) ) )
| ~ spl34_7 ),
inference(superposition,[status(thm)],[f72,f197]) ).
thf(f197,plain,
( ! [X0: ( c > b > $o ) > $o,X1: c] :
( ( $true
= ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK4 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) @ ( sK5 @ X0 @ X1 ) ) )
| ( ( sP3 @ X0 @ X1 )
!= $true ) )
| ~ spl34_7 ),
inference(avatar_component_clause,[status(thm)],[f196]) ).
thf(f72,plain,
! [X3: c > b > $o,X6: b,X4: c,X5: b] :
( ( $true
!= ( sK32 @ X6 @ X5 @ X6 @ X5 @ X5 ) )
| ( ( X3 @ X4 @ X5 )
!= $true )
| ( ( X3 @ X4 @ X6 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f723,plain,
( spl34_5
| spl34_19 ),
inference(avatar_split_clause,[status(thm)],[f549,f260,f164]) ).
thf(f549,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) )
| ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) ) )
| spl34_19 ),
inference(trivial_inequality_removal,[status(thm)],[f548]) ).
thf(f548,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true != $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) ) )
| spl34_19 ),
inference(superposition,[status(thm)],[f262,f80]) ).
thf(f80,plain,
! [X3: c > b > $o,X10: b,X6: b,X4: c,X5: b] :
( ( ( sK32 @ X6 @ X5 @ c0 @ X10 @ X10 )
= $true )
| ( ( X3 @ X4 @ X6 )
= $true )
| ( ( X3 @ X4 @ X5 )
!= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(equality_resolution,[status(thm)],[f79]) ).
thf(f79,plain,
! [X3: c > b > $o,X10: b,X6: b,X9: b,X4: c,X5: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( c0 != X9 )
| ( $true
= ( sK32 @ X6 @ X5 @ X9 @ X10 @ X10 ) )
| ( ( X3 @ X4 @ X6 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(equality_resolution,[status(thm)],[f75]) ).
thf(f75,plain,
! [X3: c > b > $o,X10: b,X8: b,X6: b,X9: b,X4: c,X5: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( X8 != X10 )
| ( c0 != X9 )
| ( ( sK32 @ X6 @ X5 @ X9 @ X8 @ X10 )
= $true )
| ( ( X3 @ X4 @ X6 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f262,plain,
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ c0 @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| spl34_19 ),
inference(avatar_component_clause,[status(thm)],[f260]) ).
thf(f716,plain,
( spl34_5
| spl34_20 ),
inference(avatar_split_clause,[status(thm)],[f571,f271,f164]) ).
thf(f571,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) ) )
| spl34_20 ),
inference(trivial_inequality_removal,[status(thm)],[f570]) ).
thf(f570,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) )
| ( $true != $true )
| ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) ) )
| spl34_20 ),
inference(superposition,[status(thm)],[f273,f82]) ).
thf(f82,plain,
! [X3: c > b > $o,X10: b,X6: b,X4: c,X5: b] :
( ( $true
= ( sK32 @ X6 @ X5 @ X10 @ c0 @ X10 ) )
| ( ( X3 @ X4 @ X5 )
!= $true )
| ( $true
!= ( sK29 @ X3 ) )
| ( ( X3 @ X4 @ X6 )
= $true ) ),
inference(equality_resolution,[status(thm)],[f81]) ).
thf(f81,plain,
! [X3: c > b > $o,X10: b,X6: b,X9: b,X4: c,X5: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( X9 != X10 )
| ( ( sK32 @ X6 @ X5 @ X9 @ c0 @ X10 )
= $true )
| ( ( X3 @ X4 @ X6 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(equality_resolution,[status(thm)],[f74]) ).
thf(f74,plain,
! [X3: c > b > $o,X10: b,X8: b,X6: b,X9: b,X4: c,X5: b] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( c0 != X8 )
| ( X9 != X10 )
| ( ( sK32 @ X6 @ X5 @ X9 @ X8 @ X10 )
= $true )
| ( ( X3 @ X4 @ X6 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f273,plain,
( ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ c0 @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| spl34_20 ),
inference(avatar_component_clause,[status(thm)],[f271]) ).
thf(f713,plain,
( ~ spl34_59
| ~ spl34_1
| spl34_57 ),
inference(avatar_split_clause,[status(thm)],[f703,f688,f94,f710]) ).
thf(f703,plain,
( ( $true
!= ( sP2 @ sK30 @ sK29 ) )
| ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
!= $true )
| spl34_57 ),
inference(trivial_inequality_removal,[status(thm)],[f700]) ).
thf(f700,plain,
( ( $true
!= ( sP2 @ sK30 @ sK29 ) )
| ( ( sK29 @ ( sK16 @ sK30 @ sK29 ) )
!= $true )
| ( $true != $true )
| spl34_57 ),
inference(superposition,[status(thm)],[f690,f57]) ).
thf(f57,plain,
! [X0: ( c > b > $o ) > $o,X1: c,X5: c > b > $o] :
( ( ( sP2 @ X1 @ X0 )
!= $true )
| ( ( X0 @ X5 )
!= $true )
| ( $true
= ( X5 @ X1 @ ( sK11 @ X1 @ X0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f690,plain,
( ( $true
!= ( sK16 @ sK30 @ sK29 @ sK30 @ ( sK11 @ sK30 @ sK29 ) ) )
| spl34_57 ),
inference(avatar_component_clause,[status(thm)],[f688]) ).
thf(f677,plain,
( spl34_29
| spl34_52 ),
inference(avatar_split_clause,[status(thm)],[f674,f591,f404]) ).
thf(f674,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true ) )
| spl34_52 ),
inference(trivial_inequality_removal,[status(thm)],[f670]) ).
thf(f670,plain,
( ! [X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) ) )
| spl34_52 ),
inference(superposition,[status(thm)],[f593,f92]) ).
thf(f92,plain,
! [X3: c > b > $o,X18: b,X19: b,X4: c,X17: b,X23: b] :
( ( ( sK33 @ X19 @ X18 @ X17 @ c0 @ X23 @ X23 )
= $true )
| ( $true
!= ( sK29 @ X3 ) )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( $true
!= ( X3 @ X4 @ X18 ) ) ),
inference(equality_resolution,[status(thm)],[f91]) ).
thf(f91,plain,
! [X3: c > b > $o,X18: b,X19: b,X4: c,X17: b,X22: b,X23: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ( X22 != X23 )
| ( ( sK33 @ X19 @ X18 @ X17 @ c0 @ X22 @ X23 )
= $true )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(equality_resolution,[status(thm)],[f69]) ).
thf(f69,plain,
! [X21: b,X3: c > b > $o,X18: b,X19: b,X4: c,X17: b,X22: b,X23: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ( c0 != X21 )
| ( X22 != X23 )
| ( ( sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23 )
= $true )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f593,plain,
( ( $true
!= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ c0 @ c0 @ c0 ) )
| spl34_52 ),
inference(avatar_component_clause,[status(thm)],[f591]) ).
thf(f676,plain,
( spl34_29
| spl34_43 ),
inference(avatar_split_clause,[status(thm)],[f675,f489,f404]) ).
thf(f675,plain,
( ! [X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) ) )
| spl34_43 ),
inference(trivial_inequality_removal,[status(thm)],[f672]) ).
thf(f672,plain,
( ! [X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true != $true )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true ) )
| spl34_43 ),
inference(superposition,[status(thm)],[f491,f92]) ).
thf(f491,plain,
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ c0 @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| spl34_43 ),
inference(avatar_component_clause,[status(thm)],[f489]) ).
thf(f667,plain,
( spl34_29
| spl34_45 ),
inference(avatar_split_clause,[status(thm)],[f666,f507,f404]) ).
thf(f507,definition,
( spl34_45
<=> ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_45])],[avatar_definition]) ).
thf(f666,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true ) )
| spl34_45 ),
inference(trivial_inequality_removal,[status(thm)],[f664]) ).
thf(f664,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true != $true )
| ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( $true
!= ( sK29 @ X0 ) ) )
| spl34_45 ),
inference(superposition,[status(thm)],[f509,f87]) ).
thf(f87,plain,
! [X3: c > b > $o,X18: b,X19: b,X4: c,X17: b,X23: b] :
( ( $true
= ( sK33 @ X19 @ X18 @ X17 @ X23 @ c0 @ X23 ) )
| ( $true
!= ( sK29 @ X3 ) )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( X3 @ X4 @ X18 ) )
| ( $true
!= ( X3 @ X4 @ X19 ) ) ),
inference(equality_resolution,[status(thm)],[f86]) ).
thf(f86,plain,
! [X21: b,X3: c > b > $o,X18: b,X19: b,X4: c,X17: b,X23: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ( X21 != X23 )
| ( ( sK33 @ X19 @ X18 @ X17 @ X21 @ c0 @ X23 )
= $true )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(equality_resolution,[status(thm)],[f71]) ).
thf(f71,plain,
! [X21: b,X3: c > b > $o,X18: b,X19: b,X4: c,X17: b,X22: b,X23: b] :
( ( $true
!= ( X3 @ X4 @ X18 ) )
| ( c0 != X22 )
| ( X21 != X23 )
| ( ( sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23 )
= $true )
| ( $true
!= ( X3 @ X4 @ X19 ) )
| ( ( X3 @ X4 @ X17 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f509,plain,
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| spl34_45 ),
inference(avatar_component_clause,[status(thm)],[f507]) ).
thf(f560,plain,
( spl34_39
| spl34_34
| ~ spl34_43
| spl34_32
| spl34_40 ),
inference(avatar_split_clause,[status(thm)],[f558,f462,f426,f489,f433,f458]) ).
thf(f558,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= $true )
| ( ( sP2 @ X0 @ X1 )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ c0 @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( c0
= ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| spl34_40 ),
inference(superposition,[status(thm)],[f464,f55]) ).
thf(f55,plain,
! [X0: ( c > b > $o ) > $o,X1: c,X7: b > b > b > $o] :
( ( ( sP2 @ X1 @ X0 )
!= $true )
| ( ( sP1 @ ( sK15 @ X7 ) @ ( sK13 @ X7 ) @ ( sK14 @ X7 ) @ X7 )
= $true )
| ( c0
= ( sK15 @ X7 ) )
| ( c0
= ( sK13 @ X7 ) )
| ( ( X7 @ ( sK11 @ X1 @ X0 ) @ ( sK10 @ X1 @ X0 ) @ ( sK12 @ X1 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f511,plain,
( spl34_32
| ~ spl34_45
| spl34_34
| spl34_37
| spl34_38 ),
inference(avatar_split_clause,[status(thm)],[f503,f451,f447,f433,f507,f426]) ).
thf(f451,definition,
( spl34_38
<=> ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_38])],[avatar_definition]) ).
thf(f503,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( ( sP2 @ X0 @ X1 )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true )
| ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= $true )
| ( c0
= ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| spl34_38 ),
inference(superposition,[status(thm)],[f453,f54]) ).
thf(f54,plain,
! [X0: ( c > b > $o ) > $o,X1: c,X7: b > b > b > $o] :
( ( c0
= ( sK13 @ X7 ) )
| ( ( X7 @ ( sK11 @ X1 @ X0 ) @ ( sK10 @ X1 @ X0 ) @ ( sK12 @ X1 @ X0 ) )
= $true )
| ( ( sP2 @ X1 @ X0 )
!= $true )
| ( ( sK13 @ X7 )
= ( sK14 @ X7 ) )
| ( ( sP1 @ ( sK15 @ X7 ) @ ( sK13 @ X7 ) @ ( sK14 @ X7 ) @ X7 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f453,plain,
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| spl34_38 ),
inference(avatar_component_clause,[status(thm)],[f451]) ).
thf(f510,plain,
( spl34_32
| spl34_34
| spl34_33
| ~ spl34_45
| spl34_38 ),
inference(avatar_split_clause,[status(thm)],[f502,f451,f507,f429,f433,f426]) ).
thf(f502,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sP2 @ X0 @ X1 )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true )
| ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= $true )
| ( ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true ) )
| spl34_38 ),
inference(superposition,[status(thm)],[f453,f52]) ).
thf(f52,plain,
! [X0: ( c > b > $o ) > $o,X1: c,X7: b > b > b > $o] :
( ( ( sP1 @ ( sK15 @ X7 ) @ ( sK13 @ X7 ) @ ( sK14 @ X7 ) @ X7 )
= $true )
| ( ( sP2 @ X1 @ X0 )
!= $true )
| ( ( X7 @ ( sK11 @ X1 @ X0 ) @ ( sK10 @ X1 @ X0 ) @ ( sK12 @ X1 @ X0 ) )
= $true )
| ( ( sK13 @ X7 )
= ( sK14 @ X7 ) )
| ( ( sK14 @ X7 )
= ( sK15 @ X7 ) ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f465,plain,
( spl34_32
| spl34_39
| ~ spl34_40
| spl34_34
| spl34_30 ),
inference(avatar_split_clause,[status(thm)],[f417,f407,f433,f462,f458,f426]) ).
thf(f417,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( c0
= ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true )
| ( $true
!= ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) ) )
| ( ( sP2 @ X0 @ X1 )
!= $true )
| ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= $true ) )
| spl34_30 ),
inference(superposition,[status(thm)],[f409,f53]) ).
thf(f53,plain,
! [X0: ( c > b > $o ) > $o,X1: c,X7: b > b > b > $o] :
( ( ( sP2 @ X1 @ X0 )
!= $true )
| ( ( X7 @ ( sK11 @ X1 @ X0 ) @ ( sK10 @ X1 @ X0 ) @ ( sK12 @ X1 @ X0 ) )
= $true )
| ( ( sP1 @ ( sK15 @ X7 ) @ ( sK13 @ X7 ) @ ( sK14 @ X7 ) @ X7 )
= $true )
| ( c0
= ( sK15 @ X7 ) )
| ( ( sK14 @ X7 )
= ( sK15 @ X7 ) ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f409,plain,
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| spl34_30 ),
inference(avatar_component_clause,[status(thm)],[f407]) ).
thf(f455,plain,
( spl34_34
| spl34_33
| spl34_32
| ~ spl34_38
| spl34_30 ),
inference(avatar_split_clause,[status(thm)],[f418,f407,f451,f426,f429,f433]) ).
thf(f418,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( ( sP2 @ X0 @ X1 )
!= $true )
| ( ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true ) )
| spl34_30 ),
inference(superposition,[status(thm)],[f409,f53]) ).
thf(f454,plain,
( spl34_37
| spl34_32
| ~ spl34_38
| spl34_34
| spl34_30 ),
inference(avatar_split_clause,[status(thm)],[f415,f407,f433,f451,f426,f447]) ).
thf(f415,plain,
( ! [X0: c,X1: ( c > b > $o ) > $o] :
( ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ c0 @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( ( sP1 @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
= $true )
| ( c0
= ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK11 @ X0 @ X1 ) @ ( sK10 @ X0 @ X1 ) @ ( sK12 @ X0 @ X1 ) )
= $true )
| ( ( sP2 @ X0 @ X1 )
!= $true ) )
| spl34_30 ),
inference(superposition,[status(thm)],[f409,f55]) ).
thf(f410,plain,
( spl34_29
| ~ spl34_30
| ~ spl34_1 ),
inference(avatar_split_clause,[status(thm)],[f402,f94,f407,f404]) ).
thf(f402,plain,
( ! [X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true ) )
| ~ spl34_1 ),
inference(trivial_inequality_removal,[status(thm)],[f401]) ).
thf(f401,plain,
( ! [X0: c > b > $o,X1: c] :
( ( ( X0 @ X1 @ ( sK10 @ sK30 @ sK29 ) )
!= $true )
| ( ( X0 @ X1 @ ( sK11 @ sK30 @ sK29 ) )
!= $true )
| ( $true
= ( X0 @ X1 @ ( sK12 @ sK30 @ sK29 ) ) )
| ( $true != $true )
| ( ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) @ ( sK13 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK15 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) @ ( sK14 @ ( sK33 @ ( sK10 @ sK30 @ sK29 ) @ ( sK11 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
!= $true )
| ( $true
!= ( sK29 @ X0 ) ) )
| ~ spl34_1 ),
inference(superposition,[status(thm)],[f68,f385]) ).
thf(f385,plain,
( ! [X0: b > b > b > $o] :
( ( $true
= ( X0 @ ( sK11 @ sK30 @ sK29 ) @ ( sK10 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) )
| ( ( X0 @ ( sK13 @ X0 ) @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) )
!= $true ) )
| ~ spl34_1 ),
inference(trivial_inequality_removal,[status(thm)],[f376]) ).
thf(f376,plain,
( ! [X0: b > b > b > $o] :
( ( ( X0 @ ( sK13 @ X0 ) @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( X0 @ ( sK11 @ sK30 @ sK29 ) @ ( sK10 @ sK30 @ sK29 ) @ ( sK12 @ sK30 @ sK29 ) ) ) )
| ~ spl34_1 ),
inference(superposition,[status(thm)],[f51,f96]) ).
thf(f373,plain,
( ~ spl34_4
| spl34_2 ),
inference(avatar_split_clause,[status(thm)],[f372,f98,f107]) ).
thf(f107,definition,
( spl34_4
<=> ( ( sK29 @ sK31 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl34_4])],[avatar_definition]) ).
thf(f98,definition,
( spl34_2
<=> ( $true
= ( sK31 @ sK30 @ c0 ) ) ),
introduced(definition,[new_symbols(naming,[spl34_2])],[avatar_definition]) ).
thf(f372,plain,
( ( ( sK29 @ sK31 )
!= $true )
| spl34_2 ),
inference(trivial_inequality_removal,[status(thm)],[f371]) ).
thf(f371,plain,
( ( $true != $true )
| ( ( sK29 @ sK31 )
!= $true )
| spl34_2 ),
inference(superposition,[status(thm)],[f100,f76]) ).
thf(f76,plain,
! [X3: c > b > $o,X4: c] :
( ( ( X3 @ X4 @ c0 )
= $true )
| ( $true
!= ( sK29 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f100,plain,
( ( $true
!= ( sK31 @ sK30 @ c0 ) )
| spl34_2 ),
inference(avatar_component_clause,[status(thm)],[f98]) ).
thf(f355,plain,
( ~ spl34_3
| ~ spl34_3
| ~ spl34_5 ),
inference(avatar_split_clause,[status(thm)],[f350,f164,f102,f102]) ).
thf(f350,plain,
( ( $true
!= ( sP3 @ sK29 @ sK30 ) )
| ~ spl34_3
| ~ spl34_5 ),
inference(trivial_inequality_removal,[status(thm)],[f347]) ).
thf(f347,plain,
( ( $true
!= ( sP3 @ sK29 @ sK30 ) )
| ( $true != $true )
| ~ spl34_3
| ~ spl34_5 ),
inference(superposition,[status(thm)],[f342,f130]) ).
thf(f130,plain,
( ! [X0: c] :
( ( $true
= ( sK6 @ sK29 @ sK30 @ X0 @ ( sK5 @ sK29 @ X0 ) ) )
| ( ( sP3 @ sK29 @ X0 )
!= $true ) )
| ~ spl34_3 ),
inference(trivial_inequality_removal,[status(thm)],[f127]) ).
thf(f127,plain,
( ! [X0: c] :
( ( $true != $true )
| ( $true
= ( sK6 @ sK29 @ sK30 @ X0 @ ( sK5 @ sK29 @ X0 ) ) )
| ( ( sP3 @ sK29 @ X0 )
!= $true ) )
| ~ spl34_3 ),
inference(superposition,[status(thm)],[f46,f125]) ).
thf(f125,plain,
( ( $true
= ( sK29 @ ( sK6 @ sK29 @ sK30 ) ) )
| ~ spl34_3 ),
inference(trivial_inequality_removal,[status(thm)],[f117]) ).
thf(f117,plain,
( ( $true
= ( sK29 @ ( sK6 @ sK29 @ sK30 ) ) )
| ( $true != $true )
| ~ spl34_3 ),
inference(superposition,[status(thm)],[f47,f104]) ).
thf(f47,plain,
! [X0: c,X1: ( c > b > $o ) > $o] :
( ( $true
!= ( sP3 @ X1 @ X0 ) )
| ( ( X1 @ ( sK6 @ X1 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f46,plain,
! [X0: c,X1: ( c > b > $o ) > $o,X5: c > b > $o] :
( ( $true
= ( X5 @ X0 @ ( sK5 @ X1 @ X0 ) ) )
| ( $true
!= ( sP3 @ X1 @ X0 ) )
| ( ( X1 @ X5 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f342,plain,
( ( $true
!= ( sK6 @ sK29 @ sK30 @ sK30 @ ( sK5 @ sK29 @ sK30 ) ) )
| ~ spl34_3
| ~ spl34_5 ),
inference(trivial_inequality_removal,[status(thm)],[f341]) ).
thf(f341,plain,
( ( $true
!= ( sK6 @ sK29 @ sK30 @ sK30 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true != $true )
| ~ spl34_3
| ~ spl34_5 ),
inference(forward_demodulation,[status(thm)],[f340,f125]) ).
thf(f340,plain,
( ( $true
!= ( sK29 @ ( sK6 @ sK29 @ sK30 ) ) )
| ( $true
!= ( sK6 @ sK29 @ sK30 @ sK30 @ ( sK5 @ sK29 @ sK30 ) ) )
| ~ spl34_3
| ~ spl34_5 ),
inference(trivial_inequality_removal,[status(thm)],[f338]) ).
thf(f338,plain,
( ( $true
!= ( sK29 @ ( sK6 @ sK29 @ sK30 ) ) )
| ( $true
!= ( sK6 @ sK29 @ sK30 @ sK30 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true != $true )
| ~ spl34_3
| ~ spl34_5 ),
inference(superposition,[status(thm)],[f122,f165]) ).
thf(f165,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) ) )
| ~ spl34_5 ),
inference(avatar_component_clause,[status(thm)],[f164]) ).
thf(f122,plain,
( ( ( sK6 @ sK29 @ sK30 @ sK30 @ ( sK4 @ sK29 @ sK30 ) )
!= $true )
| ~ spl34_3 ),
inference(trivial_inequality_removal,[status(thm)],[f118]) ).
thf(f118,plain,
( ( ( sK6 @ sK29 @ sK30 @ sK30 @ ( sK4 @ sK29 @ sK30 ) )
!= $true )
| ( $true != $true )
| ~ spl34_3 ),
inference(superposition,[status(thm)],[f48,f104]) ).
thf(f48,plain,
! [X0: c,X1: ( c > b > $o ) > $o] :
( ( $true
!= ( sP3 @ X1 @ X0 ) )
| ( ( sK6 @ X1 @ X0 @ X0 @ ( sK4 @ X1 @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f170,plain,
( spl34_5
| ~ spl34_6
| ~ spl34_3 ),
inference(avatar_split_clause,[status(thm)],[f162,f102,f167,f164]) ).
thf(f162,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) )
| ( $true
!= ( sK29 @ X0 ) )
| ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true ) )
| ~ spl34_3 ),
inference(trivial_inequality_removal,[status(thm)],[f161]) ).
thf(f161,plain,
( ! [X0: c > b > $o,X1: c] :
( ( $true
!= ( sK29 @ X0 ) )
| ( ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK7 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK9 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) @ ( sK8 @ ( sK32 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) ) ) )
!= $true )
| ( $true
!= ( X0 @ X1 @ ( sK5 @ sK29 @ sK30 ) ) )
| ( $true != $true )
| ( $true
= ( X0 @ X1 @ ( sK4 @ sK29 @ sK30 ) ) ) )
| ~ spl34_3 ),
inference(superposition,[status(thm)],[f72,f119]) ).
thf(f119,plain,
( ! [X0: b > b > b > $o] :
( ( ( X0 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) )
= $true )
| ( $true
!= ( X0 @ ( sK7 @ X0 ) @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) ) ) )
| ~ spl34_3 ),
inference(trivial_inequality_removal,[status(thm)],[f115]) ).
thf(f115,plain,
( ! [X0: b > b > b > $o] :
( ( $true != $true )
| ( $true
!= ( X0 @ ( sK7 @ X0 ) @ ( sK9 @ X0 ) @ ( sK8 @ X0 ) ) )
| ( ( X0 @ ( sK4 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) @ ( sK5 @ sK29 @ sK30 ) )
= $true ) )
| ~ spl34_3 ),
inference(superposition,[status(thm)],[f45,f104]) ).
thf(f110,plain,
( spl34_3
| spl34_4
| spl34_1 ),
inference(avatar_split_clause,[status(thm)],[f77,f94,f107,f102]) ).
thf(f77,plain,
( ( $true
= ( sP3 @ sK29 @ sK30 ) )
| ( $true
= ( sP2 @ sK30 @ sK29 ) )
| ( ( sK29 @ sK31 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f105,plain,
( spl34_1
| ~ spl34_2
| spl34_3 ),
inference(avatar_split_clause,[status(thm)],[f78,f102,f98,f94]) ).
thf(f78,plain,
( ( $true
= ( sP2 @ sK30 @ sK29 ) )
| ( $true
!= ( sK31 @ sK30 @ c0 ) )
| ( $true
= ( sP3 @ sK29 @ sK30 ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV192^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.31 % Computer : n028.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Feb 24 12:41:42 EST 2026
% 0.12/0.31 % CPUTime :
% 0.12/0.31 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.41 ---- Original DTF file ---
% 0.15/0.41 thf(spec,logic,$$dhol).
% 0.15/0.41 %------------------------------------------------------------------------------
% 0.15/0.41 % File : SEV192^5 : TPTP v9.2.1. Released v4.0.0.
% 0.15/0.41 % Domain : Set Theory (Sets of sets)
% 0.15/0.41 % Problem : TPS problem CS-DUC-RELNS
% 0.15/0.41 % Version : Especial.
% 0.15/0.41 % English : Given a pairing algebra B (with zero element 0(B) and pairing
% 0.15/0.41 % operation P(BBB)), we can define a notion of join and a notion of
% 0.15/0.41 % inclusion. A subset of the pairing algebra is a DUC-set (downward
% 0.15/0.41 % union closed) if it is downward closed with respect to
% 0.15/0.41 % inclusion, and closed with respect to joins. A relation R between
% 0.15/0.41 % any set C and the pairing algebra is DUC-valued if for any c in
% 0.15/0.41 % C, {y | R(c,y)} is a DUC-set. The theorem states that the
% 0.15/0.41 % DUC-valued relations form a closure system, i.e., an arbitrary
% 0.15/0.41 % intersection of DUC-valued relations is a DUC-valued relation.
% 0.15/0.41
% 0.15/0.41 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.15/0.41 % Source : [Bro09]
% 0.15/0.41 % Names : tps_0573 [Bro09]
% 0.15/0.41 % : CS-DUC-RELNS [TPS]
% 0.15/0.41
% 0.15/0.41 % Status : Theorem
% 0.15/0.41 % Rating : 0.56 v9.1.0, 0.62 v9.0.0, 0.70 v8.2.0, 0.77 v8.1.0, 0.82 v7.5.0, 0.71 v7.4.0, 0.44 v7.2.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.71 v6.0.0, 0.43 v5.5.0, 0.50 v5.4.0, 0.60 v4.1.0, 1.00 v4.0.0
% 0.15/0.41 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.15/0.41 % Number of atoms : 32 ( 28 equ; 0 cnn)
% 0.15/0.41 % Maximal formula atoms : 32 ( 32 avg)
% 0.15/0.41 % Number of connectives : 169 ( 0 ~; 8 |; 38 &; 103 @)
% 0.15/0.41 % ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% 0.15/0.41 % Maximal formula depth : 36 ( 36 avg)
% 0.15/0.41 % Number of types : 3 ( 2 usr)
% 0.15/0.41 % Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% 0.15/0.41 % Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% 0.15/0.41 % Number of variables : 60 ( 0 ^; 36 !; 24 ?; 60 :)
% 0.15/0.41 % SPC : TH0_THM_EQU_NAR
% 0.15/0.41
% 0.15/0.41 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.15/0.41 % project in the Department of Mathematical Sciences at Carnegie
% 0.15/0.41 % Mellon University. Distributed under the Creative Commons copyleft
% 0.15/0.41 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.15/0.41 % : Polymorphic definitions expanded.
% 0.15/0.41 %------------------------------------------------------------------------------
% 0.15/0.41 thf(b_type,type,
% 0.15/0.41 b: $tType ).
% 0.15/0.41
% 0.15/0.41 thf(c_type,type,
% 0.15/0.41 c: $tType ).
% 0.15/0.41
% 0.15/0.41 thf(cP,type,
% 0.15/0.41 cP: b > b > b ).
% 0.15/0.41
% 0.15/0.41 thf(c0,type,
% 0.15/0.41 c0: b ).
% 0.15/0.41
% 0.15/0.41 thf(cCS_DUC_RELNS_pme,conjecture,
% 0.15/0.41 ! [S: ( c > b > $o ) > $o] :
% 0.15/0.41 ( ! [Xx: c > b > $o] :
% 0.15/0.41 ( ( S @ Xx )
% 0.15/0.41 => ! [Xc: c] :
% 0.15/0.41 ( ( Xx @ Xc @ c0 )
% 0.15/0.41 & ! [Xx0: b,Xy: b] :
% 0.15/0.41 ( ( ( Xx @ Xc @ Xy )
% 0.15/0.41 & ! [R: b > b > b > $o] :
% 0.15/0.41 ( ( $true
% 0.15/0.41 & ! [Xa: b,Xb: b,Xc0: b] :
% 0.15/0.41 ( ( ( ( Xa = c0 )
% 0.15/0.41 & ( Xb = Xc0 ) )
% 0.15/0.41 | ( ( Xb = c0 )
% 0.15/0.41 & ( Xa = Xc0 ) )
% 0.15/0.41 | ? [Xx1: b,Xx2: b,Xy1: b,Xy2: b,Xz1: b,Xz2: b] :
% 0.15/0.41 ( ( Xa
% 0.15/0.41 = ( cP @ Xx1 @ Xx2 ) )
% 0.15/0.41 & ( Xb
% 0.15/0.41 = ( cP @ Xy1 @ Xy2 ) )
% 0.15/0.41 & ( Xc0
% 0.15/0.41 = ( cP @ Xz1 @ Xz2 ) )
% 0.15/0.41 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 0.15/0.41 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 0.15/0.41 => ( R @ Xa @ Xb @ Xc0 ) ) )
% 0.15/0.41 => ( R @ Xx0 @ Xy @ Xy ) ) )
% 0.15/0.41 => ( Xx @ Xc @ Xx0 ) )
% 0.15/0.41 & ! [Xx0: b,Xy: b,Xz: b] :
% 0.15/0.41 ( ( ( Xx @ Xc @ Xx0 )
% 0.15/0.41 & ( Xx @ Xc @ Xy )
% 0.15/0.41 & ! [R: b > b > b > $o] :
% 0.15/0.41 ( ( $true
% 0.15/0.41 & ! [Xa: b,Xb: b,Xc0: b] :
% 0.15/0.41 ( ( ( ( Xa = c0 )
% 0.15/0.41 & ( Xb = Xc0 ) )
% 0.15/0.41 | ( ( Xb = c0 )
% 0.15/0.41 & ( Xa = Xc0 ) )
% 0.15/0.41 | ? [Xx1: b,Xx2: b,Xy1: b,Xy2: b,Xz1: b,Xz2: b] :
% 0.15/0.41 ( ( Xa
% 0.15/0.41 = ( cP @ Xx1 @ Xx2 ) )
% 0.15/0.41 & ( Xb
% 0.15/0.41 = ( cP @ Xy1 @ Xy2 ) )
% 0.15/0.41 & ( Xc0
% 0.15/0.41 = ( cP @ Xz1 @ Xz2 ) )
% 0.15/0.41 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 0.15/0.41 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 0.15/0.41 => ( R @ Xa @ Xb @ Xc0 ) ) )
% 0.15/0.41 => ( R @ Xx0 @ Xy @ Xz ) ) )
% 0.15/0.41 => ( Xx @ Xc @ Xz ) ) ) )
% 0.15/0.41 => ! [Xc: c] :
% 0.15/0.41 ( ! [R: c > b > $o] :
% 0.15/0.41 ( ( S @ R )
% 0.15/0.41 => ( R @ Xc @ c0 ) )
% 0.15/0.41 & ! [Xx: b,Xy: b] :
% 0.15/0.41 ( ( ! [R: c > b > $o] :
% 0.15/0.41 ( ( S @ R )
% 0.15/0.41 => ( R @ Xc @ Xy ) )
% 0.15/0.41 & ! [R: b > b > b > $o] :
% 0.15/0.41 ( ( $true
% 0.15/0.41 & ! [Xa: b,Xb: b,Xc0: b] :
% 0.15/0.41 ( ( ( ( Xa = c0 )
% 0.15/0.41 & ( Xb = Xc0 ) )
% 0.15/0.41 | ( ( Xb = c0 )
% 0.15/0.41 & ( Xa = Xc0 ) )
% 0.15/0.41 | ? [Xx1: b,Xx2: b,Xy1: b,Xy2: b,Xz1: b,Xz2: b] :
% 0.15/0.41 ( ( Xa
% 0.15/0.41 = ( cP @ Xx1 @ Xx2 ) )
% 0.15/0.41 & ( Xb
% 0.15/0.41 = ( cP @ Xy1 @ Xy2 ) )
% 0.15/0.41 & ( Xc0
% 0.15/0.41 = ( cP @ Xz1 @ Xz2 ) )
% 0.15/0.41 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 0.15/0.41 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 0.15/0.41 => ( R @ Xa @ Xb @ Xc0 ) ) )
% 0.15/0.41 => ( R @ Xx @ Xy @ Xy ) ) )
% 0.15/0.41 => ! [R: c > b > $o] :
% 0.15/0.41 ( ( S @ R )
% 0.15/0.41 => ( R @ Xc @ Xx ) ) )
% 0.15/0.41 & ! [Xx: b,Xy: b,Xz: b] :
% 0.15/0.41 ( ( ! [R: c > b > $o] :
% 0.15/0.41 ( ( S @ R )
% 0.15/0.41 => ( R @ Xc @ Xx ) )
% 0.15/0.41 & ! [R: c > b > $o] :
% 0.15/0.41 ( ( S @ R )
% 0.15/0.41 => ( R @ Xc @ Xy ) )
% 0.15/0.41 & ! [R: b > b > b > $o] :
% 0.15/0.41 ( ( $true
% 0.15/0.41 & ! [Xa: b,Xb: b,Xc0: b] :
% 0.15/0.41 ( ( ( ( Xa = c0 )
% 0.15/0.41 & ( Xb = Xc0 ) )
% 0.15/0.41 | ( ( Xb = c0 )
% 0.15/0.41 & ( Xa = Xc0 ) )
% 0.15/0.41 | ? [Xx1: b,Xx2: b,Xy1: b,Xy2: b,Xz1: b,Xz2: b] :
% 0.15/0.41 ( ( Xa
% 0.15/0.41 = ( cP @ Xx1 @ Xx2 ) )
% 0.15/0.41 & ( Xb
% 0.15/0.41 = ( cP @ Xy1 @ Xy2 ) )
% 0.15/0.41 & ( Xc0
% 0.15/0.41 = ( cP @ Xz1 @ Xz2 ) )
% 0.15/0.41 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 0.15/0.41 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 0.15/0.41 => ( R @ Xa @ Xb @ Xc0 ) ) )
% 0.15/0.41 => ( R @ Xx @ Xy @ Xz ) ) )
% 0.15/0.41 => ! [R: c > b > $o] :
% 0.15/0.41 ( ( S @ R )
% 0.15/0.41 => ( R @ Xc @ Xz ) ) ) ) ) ).
% 0.15/0.41
% 0.15/0.41 %------------------------------------------------------------------------------
% 0.15/0.41 ------------------------
% 1.37/1.15 ---- Embedded in THF ---
% 1.37/1.15 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.37/1.15 %%% Generated on Tue Feb 24 12:41:42 EST 2026
% 1.37/1.15 %%% using '$$dhol' embedding, version 1.3.0.
% 1.37/1.15 %%% Logic specification used:
% 1.37/1.15 %%% thf(spec, logic, $$dhol).
% 1.37/1.15
% 1.37/1.15 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.7u86P8aq6a/DTF2DTF24928.p
% See solution above
% 1.37/1.15 ------------------------
% 1.37/1.16 ---- Cleaned THF ---
% 1.37/1.16 thf(b_type,type,
% 1.37/1.16 b: $tType ).
% 1.37/1.16
% 1.37/1.16 thf(c_type,type,
% 1.37/1.16 c: $tType ).
% 1.37/1.16
% 1.37/1.16 thf(cP,type,
% 1.37/1.16 cP: b > b > b ).
% 1.37/1.16
% 1.37/1.16 thf(c0,type,
% 1.37/1.16 c0: b ).
% 1.37/1.16
% 1.37/1.16 thf(cCS_DUC_RELNS_pme,conjecture,
% 1.37/1.16 ! [S: ( c > b > $o ) > $o] :
% 1.37/1.16 ( ! [Xx: c > b > $o] :
% 1.37/1.16 ( ( S @ Xx )
% 1.37/1.16 => ! [Xc: c] :
% 1.37/1.16 ( ( Xx @ Xc @ c0 )
% 1.37/1.16 & ! [Xx0: b,Xy: b] :
% 1.37/1.16 ( ( ( Xx @ Xc @ Xy )
% 1.37/1.16 & ! [R: b > b > b > $o] :
% 1.37/1.16 ( ( $true
% 1.37/1.16 & ! [Xa: b,Xb: b,Xc0: b] :
% 1.37/1.16 ( ( ( ( Xa = c0 )
% 1.37/1.16 & ( Xb = Xc0 ) )
% 1.37/1.16 | ( ( Xb = c0 )
% 1.37/1.16 & ( Xa = Xc0 ) )
% 1.37/1.16 | ? [Xx1: b,Xx2: b,Xy1: b,Xy2: b,Xz1: b,Xz2: b] :
% 1.37/1.16 ( ( Xa
% 1.37/1.16 = ( cP @ Xx1 @ Xx2 ) )
% 1.37/1.16 & ( Xb
% 1.37/1.16 = ( cP @ Xy1 @ Xy2 ) )
% 1.37/1.16 & ( Xc0
% 1.37/1.16 = ( cP @ Xz1 @ Xz2 ) )
% 1.37/1.16 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 1.37/1.16 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 1.37/1.16 => ( R @ Xa @ Xb @ Xc0 ) ) )
% 1.37/1.16 => ( R @ Xx0 @ Xy @ Xy ) ) )
% 1.37/1.16 => ( Xx @ Xc @ Xx0 ) )
% 1.37/1.16 & ! [Xx0: b,Xy: b,Xz: b] :
% 1.37/1.16 ( ( ( Xx @ Xc @ Xx0 )
% 1.37/1.16 & ( Xx @ Xc @ Xy )
% 1.37/1.16 & ! [R: b > b > b > $o] :
% 1.37/1.16 ( ( $true
% 1.37/1.16 & ! [Xa: b,Xb: b,Xc0: b] :
% 1.37/1.16 ( ( ( ( Xa = c0 )
% 1.37/1.16 & ( Xb = Xc0 ) )
% 1.37/1.16 | ( ( Xb = c0 )
% 1.37/1.16 & ( Xa = Xc0 ) )
% 1.37/1.16 | ? [Xx1: b,Xx2: b,Xy1: b,Xy2: b,Xz1: b,Xz2: b] :
% 1.37/1.16 ( ( Xa
% 1.37/1.16 = ( cP @ Xx1 @ Xx2 ) )
% 1.37/1.16 & ( Xb
% 1.37/1.16 = ( cP @ Xy1 @ Xy2 ) )
% 1.37/1.16 & ( Xc0
% 1.37/1.16 = ( cP @ Xz1 @ Xz2 ) )
% 1.37/1.16 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 1.37/1.16 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 1.37/1.16 => ( R @ Xa @ Xb @ Xc0 ) ) )
% 1.37/1.16 => ( R @ Xx0 @ Xy @ Xz ) ) )
% 1.37/1.16 => ( Xx @ Xc @ Xz ) ) ) )
% 1.37/1.16 => ! [Xc: c] :
% 1.37/1.16 ( ! [R: c > b > $o] :
% 1.37/1.16 ( ( S @ R )
% 1.37/1.16 => ( R @ Xc @ c0 ) )
% 1.37/1.16 & ! [Xx: b,Xy: b] :
% 1.37/1.16 ( ( ! [R: c > b > $o] :
% 1.37/1.16 ( ( S @ R )
% 1.37/1.16 => ( R @ Xc @ Xy ) )
% 1.37/1.16 & ! [R: b > b > b > $o] :
% 1.37/1.16 ( ( $true
% 1.37/1.16 & ! [Xa: b,Xb: b,Xc0: b] :
% 1.37/1.16 ( ( ( ( Xa = c0 )
% 1.37/1.16 & ( Xb = Xc0 ) )
% 1.37/1.16 | ( ( Xb = c0 )
% 1.37/1.16 & ( Xa = Xc0 ) )
% 1.37/1.16 | ? [Xx1: b,Xx2: b,Xy1: b,Xy2: b,Xz1: b,Xz2: b] :
% 1.37/1.16 ( ( Xa
% 1.37/1.16 = ( cP @ Xx1 @ Xx2 ) )
% 1.37/1.16 & ( Xb
% 1.37/1.16 = ( cP @ Xy1 @ Xy2 ) )
% 1.37/1.16 & ( Xc0
% 1.37/1.16 = ( cP @ Xz1 @ Xz2 ) )
% 1.37/1.16 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 1.37/1.16 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 1.37/1.16 => ( R @ Xa @ Xb @ Xc0 ) ) )
% 1.37/1.16 => ( R @ Xx @ Xy @ Xy ) ) )
% 1.37/1.16 => ! [R: c > b > $o] :
% 1.37/1.16 ( ( S @ R )
% 1.37/1.16 => ( R @ Xc @ Xx ) ) )
% 1.37/1.16 & ! [Xx: b,Xy: b,Xz: b] :
% 1.37/1.16 ( ( ! [R: c > b > $o] :
% 1.37/1.16 ( ( S @ R )
% 1.37/1.16 => ( R @ Xc @ Xx ) )
% 1.37/1.16 & ! [R: c > b > $o] :
% 1.37/1.16 ( ( S @ R )
% 1.37/1.16 => ( R @ Xc @ Xy ) )
% 1.37/1.16 & ! [R: b > b > b > $o] :
% 1.37/1.16 ( ( $true
% 1.37/1.16 & ! [Xa: b,Xb: b,Xc0: b] :
% 1.37/1.16 ( ( ( ( Xa = c0 )
% 1.37/1.16 & ( Xb = Xc0 ) )
% 1.37/1.16 | ( ( Xb = c0 )
% 1.37/1.16 & ( Xa = Xc0 ) )
% 1.37/1.16 | ? [Xx1: b,Xx2: b,Xy1: b,Xy2: b,Xz1: b,Xz2: b] :
% 1.37/1.16 ( ( Xa
% 1.37/1.16 = ( cP @ Xx1 @ Xx2 ) )
% 1.37/1.16 & ( Xb
% 1.37/1.16 = ( cP @ Xy1 @ Xy2 ) )
% 1.37/1.16 & ( Xc0
% 1.37/1.16 = ( cP @ Xz1 @ Xz2 ) )
% 1.37/1.16 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 1.37/1.16 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 1.37/1.16 => ( R @ Xa @ Xb @ Xc0 ) ) )
% 1.37/1.16 => ( R @ Xx @ Xy @ Xz ) ) )
% 1.37/1.16 => ! [R: c > b > $o] :
% 1.37/1.16 ( ( S @ R )
% 1.37/1.16 => ( R @ Xc @ Xz ) ) ) ) ) ).
% 1.37/1.16 ------------------------
% 1.37/1.18 % (25068)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/183Mi)
% 1.37/1.18 % (25073)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_24928 for (2999ds/275Mi)
% 1.37/1.18 % (25075)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/18Mi)
% 1.37/1.18 % (25071)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/2Mi)
% 1.37/1.18 % (25072)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_24928 for (2999ds/2Mi)
% 1.37/1.18 % (25070)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_24928 for (2999ds/27Mi)
% 1.37/1.18 % (25071)Instruction limit reached!
% 1.37/1.18 % (25071)------------------------------
% 1.37/1.18 % (25071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.18 % (25071)Termination reason: Unknown
% 1.37/1.18 % (25071)Termination phase: shuffling
% 1.37/1.18
% 1.37/1.18 % (25072)Instruction limit reached!
% 1.37/1.18 % (25072)------------------------------
% 1.37/1.18 % (25072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.18 % (25072)Termination reason: Unknown
% 1.37/1.18 % (25072)Termination phase: shuffling
% 1.37/1.18
% 1.37/1.18 % (25072)Memory used [KB]: 1023
% 1.37/1.18 % (25072)Time elapsed: 0.002 s
% 1.37/1.18 % (25072)Instructions burned: 2 (million)
% 1.37/1.18 % (25072)------------------------------
% 1.37/1.18 % (25072)------------------------------
% 1.37/1.18 % (25071)Memory used [KB]: 1023
% 1.37/1.18 % (25071)Time elapsed: 0.002 s
% 1.37/1.18 % (25071)Instructions burned: 2 (million)
% 1.37/1.18 % (25071)------------------------------
% 1.37/1.18 % (25071)------------------------------
% 1.37/1.19 % (25069)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_24928 for (2999ds/4Mi)
% 1.37/1.19 % (25069)Instruction limit reached!
% 1.37/1.19 % (25069)------------------------------
% 1.37/1.19 % (25069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.19 % (25069)Termination reason: Unknown
% 1.37/1.19 % (25069)Termination phase: Naming
% 1.37/1.19
% 1.37/1.19 % (25069)Memory used [KB]: 1023
% 1.37/1.19 % (25069)Time elapsed: 0.003 s
% 1.37/1.19 % (25069)Instructions burned: 4 (million)
% 1.37/1.19 % (25069)------------------------------
% 1.37/1.19 % (25069)------------------------------
% 1.37/1.19 % (25075)Instruction limit reached!
% 1.37/1.19 % (25075)------------------------------
% 1.37/1.19 % (25075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.37/1.19 % (25075)Termination reason: Unknown
% 1.37/1.19 % (25075)Termination phase: Saturation
% 1.37/1.19
% 1.37/1.19 % (25075)Memory used [KB]: 5756
% 1.37/1.19 % (25075)Time elapsed: 0.011 s
% 1.37/1.19 % (25075)Instructions burned: 19 (million)
% 1.37/1.19 % (25075)------------------------------
% 1.37/1.19 % (25075)------------------------------
% 1.45/1.20 % (25070)Instruction limit reached!
% 1.45/1.20 % (25070)------------------------------
% 1.45/1.20 % (25070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.20 % (25070)Termination reason: Unknown
% 1.45/1.20 % (25070)Termination phase: Saturation
% 1.45/1.20
% 1.45/1.20 % (25070)Memory used [KB]: 5756
% 1.45/1.20 % (25070)Time elapsed: 0.014 s
% 1.45/1.20 % (25070)Instructions burned: 27 (million)
% 1.45/1.20 % (25070)------------------------------
% 1.45/1.20 % (25070)------------------------------
% 1.45/1.20 % (25076)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/3Mi)
% 1.45/1.20 % (25077)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_24928 for (2999ds/37Mi)
% 1.45/1.20 % (25076)Instruction limit reached!
% 1.45/1.20 % (25076)------------------------------
% 1.45/1.20 % (25076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.20 % (25076)Termination reason: Unknown
% 1.45/1.20 % (25076)Termination phase: Preprocessing 3
% 1.45/1.20
% 1.45/1.20 % (25076)Memory used [KB]: 1023
% 1.45/1.20 % (25076)Time elapsed: 0.004 s
% 1.45/1.20 % (25076)Instructions burned: 4 (million)
% 1.45/1.20 % (25076)------------------------------
% 1.45/1.20 % (25076)------------------------------
% 1.45/1.20 % (25078)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_24928 for (2999ds/15Mi)
% 1.45/1.21 % (25079)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_24928 for (2999ds/3Mi)
% 1.45/1.21 % (25079)Instruction limit reached!
% 1.45/1.21 % (25079)------------------------------
% 1.45/1.21 % (25079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.21 % (25079)Termination reason: Unknown
% 1.45/1.21 % (25079)Termination phase: Property scanning
% 1.45/1.21
% 1.45/1.21 % (25078)Instruction limit reached!
% 1.45/1.21 % (25078)------------------------------
% 1.45/1.21 % (25078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.21 % (25079)Memory used [KB]: 1023
% 1.45/1.21 % (25079)Time elapsed: 0.003 s
% 1.45/1.21 % (25079)Instructions burned: 3 (million)
% 1.45/1.21 % (25079)------------------------------
% 1.45/1.21 % (25079)------------------------------
% 1.45/1.21 % (25078)Termination reason: Unknown
% 1.45/1.21 % (25078)Termination phase: Saturation
% 1.45/1.21
% 1.45/1.21 % (25078)Memory used [KB]: 1279
% 1.45/1.21 % (25078)Time elapsed: 0.008 s
% 1.45/1.21 % (25078)Instructions burned: 15 (million)
% 1.45/1.21 % (25078)------------------------------
% 1.45/1.21 % (25078)------------------------------
% 1.45/1.21 % (25080)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_24928 for (2999ds/1041Mi)
% 1.45/1.22 % (25077)Instruction limit reached!
% 1.45/1.22 % (25077)------------------------------
% 1.45/1.22 % (25077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.22 % (25077)Termination reason: Unknown
% 1.45/1.22 % (25077)Termination phase: Saturation
% 1.45/1.22
% 1.45/1.22 % (25077)Memory used [KB]: 5628
% 1.45/1.22 % (25077)Time elapsed: 0.016 s
% 1.45/1.22 % (25077)Instructions burned: 37 (million)
% 1.45/1.22 % (25077)------------------------------
% 1.45/1.22 % (25077)------------------------------
% 1.45/1.22 % (25081)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/7Mi)
% 1.45/1.23 % (25083)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_24928 for (2999ds/3Mi)
% 1.45/1.23 % (25081)Instruction limit reached!
% 1.45/1.23 % (25081)------------------------------
% 1.45/1.23 % (25081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.23 % (25081)Termination reason: Unknown
% 1.45/1.23 % (25081)Termination phase: Preprocessing 3
% 1.45/1.23
% 1.45/1.23 % (25081)Memory used [KB]: 1151
% 1.45/1.23 % (25081)Time elapsed: 0.005 s
% 1.45/1.23 % (25081)Instructions burned: 7 (million)
% 1.45/1.23 % (25081)------------------------------
% 1.45/1.23 % (25081)------------------------------
% 1.45/1.23 % (25083)Instruction limit reached!
% 1.45/1.23 % (25083)------------------------------
% 1.45/1.23 % (25083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.23 % (25083)Termination reason: Unknown
% 1.45/1.23 % (25083)Termination phase: Preprocessing 3
% 1.45/1.23
% 1.45/1.23 % (25083)Memory used [KB]: 1023
% 1.45/1.23 % (25083)Time elapsed: 0.003 s
% 1.45/1.23 % (25083)Instructions burned: 4 (million)
% 1.45/1.23 % (25083)------------------------------
% 1.45/1.23 % (25083)------------------------------
% 1.45/1.23 % (25082)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/16Mi)
% 1.45/1.23 % (25084)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_24928 for (2999ds/3Mi)
% 1.45/1.23 % (25084)Instruction limit reached!
% 1.45/1.23 % (25084)------------------------------
% 1.45/1.23 % (25084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.23 % (25084)Termination reason: Unknown
% 1.45/1.23 % (25084)Termination phase: Naming
% 1.45/1.23
% 1.45/1.23 % (25084)Memory used [KB]: 1023
% 1.45/1.23 % (25084)Time elapsed: 0.003 s
% 1.45/1.23 % (25084)Instructions burned: 4 (million)
% 1.45/1.23 % (25084)------------------------------
% 1.45/1.23 % (25084)------------------------------
% 1.45/1.23 % (25068)Instruction limit reached!
% 1.45/1.23 % (25068)------------------------------
% 1.45/1.23 % (25068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.23 % (25068)Termination reason: Unknown
% 1.45/1.23 % (25068)Termination phase: Saturation
% 1.45/1.23
% 1.45/1.23 % (25068)Memory used [KB]: 7164
% 1.45/1.23 % (25068)Time elapsed: 0.057 s
% 1.45/1.23 % (25068)Instructions burned: 184 (million)
% 1.45/1.23 % (25068)------------------------------
% 1.45/1.23 % (25068)------------------------------
% 1.45/1.24 % (25082)Instruction limit reached!
% 1.45/1.24 % (25082)------------------------------
% 1.45/1.24 % (25082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.24 % (25082)Termination reason: Unknown
% 1.45/1.24 % (25082)Termination phase: Saturation
% 1.45/1.24
% 1.45/1.24 % (25082)Memory used [KB]: 5756
% 1.45/1.24 % (25082)Time elapsed: 0.009 s
% 1.45/1.24 % (25082)Instructions burned: 17 (million)
% 1.45/1.24 % (25082)------------------------------
% 1.45/1.24 % (25082)------------------------------
% 1.45/1.24 % (25087)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/4Mi)
% 1.45/1.24 % (25086)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/3Mi)
% 1.45/1.24 % (25087)Instruction limit reached!
% 1.45/1.24 % (25087)------------------------------
% 1.45/1.24 % (25087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.24 % (25087)Termination reason: Unknown
% 1.45/1.24 % (25087)Termination phase: Preprocessing 2
% 1.45/1.24
% 1.45/1.24 % (25087)Memory used [KB]: 1023
% 1.45/1.24 % (25087)Time elapsed: 0.002 s
% 1.45/1.24 % (25087)Instructions burned: 4 (million)
% 1.45/1.24 % (25087)------------------------------
% 1.45/1.24 % (25087)------------------------------
% 1.45/1.24 % (25086)Instruction limit reached!
% 1.45/1.24 % (25086)------------------------------
% 1.45/1.24 % (25086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.24 % (25086)Termination reason: Unknown
% 1.45/1.24 % (25086)Termination phase: shuffling
% 1.45/1.24
% 1.45/1.24 % (25086)Memory used [KB]: 1023
% 1.45/1.24 % (25086)Time elapsed: 0.003 s
% 1.45/1.24 % (25086)Instructions burned: 3 (million)
% 1.45/1.24 % (25086)------------------------------
% 1.45/1.24 % (25086)------------------------------
% 1.45/1.24 % (25085)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/7Mi)
% 1.45/1.25 % (25085)Instruction limit reached!
% 1.45/1.25 % (25085)------------------------------
% 1.45/1.25 % (25085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.25 % (25085)Termination reason: Unknown
% 1.45/1.25 % (25085)Termination phase: Property scanning
% 1.45/1.25
% 1.45/1.25 % (25085)Memory used [KB]: 1151
% 1.45/1.25 % (25085)Time elapsed: 0.005 s
% 1.45/1.25 % (25085)Instructions burned: 8 (million)
% 1.45/1.25 % (25085)------------------------------
% 1.45/1.25 % (25085)------------------------------
% 1.45/1.25 % (25088)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/18Mi)
% 1.45/1.25 % (25089)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/710Mi)
% 1.45/1.25 % (25090)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/6Mi)
% 1.45/1.26 % (25090)Instruction limit reached!
% 1.45/1.26 % (25090)------------------------------
% 1.45/1.26 % (25090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.26 % (25090)Termination reason: Unknown
% 1.45/1.26 % (25090)Termination phase: Property scanning
% 1.45/1.26
% 1.45/1.26 % (25090)Memory used [KB]: 1151
% 1.45/1.26 % (25090)Time elapsed: 0.003 s
% 1.45/1.26 % (25090)Instructions burned: 7 (million)
% 1.45/1.26 % (25090)------------------------------
% 1.45/1.26 % (25090)------------------------------
% 1.45/1.26 % (25088)Instruction limit reached!
% 1.45/1.26 % (25088)------------------------------
% 1.45/1.26 % (25088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.26 % (25088)Termination reason: Unknown
% 1.45/1.26 % (25088)Termination phase: Saturation
% 1.45/1.26
% 1.45/1.26 % (25088)Memory used [KB]: 5756
% 1.45/1.26 % (25088)Time elapsed: 0.010 s
% 1.45/1.26 % (25088)Instructions burned: 19 (million)
% 1.45/1.26 % (25088)------------------------------
% 1.45/1.26 % (25088)------------------------------
% 1.45/1.26 % (25091)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_24928 for (2999ds/902Mi)
% 1.45/1.26 % (25093)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/5Mi)
% 1.45/1.26 % (25092)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_24928 for (2999ds/21Mi)
% 1.45/1.27 % (25093)Instruction limit reached!
% 1.45/1.27 % (25093)------------------------------
% 1.45/1.27 % (25093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.27 % (25093)Termination reason: Unknown
% 1.45/1.27 % (25093)Termination phase: Property scanning
% 1.45/1.27
% 1.45/1.27 % (25093)Memory used [KB]: 1151
% 1.45/1.27 % (25093)Time elapsed: 0.003 s
% 1.45/1.27 % (25093)Instructions burned: 8 (million)
% 1.45/1.27 % (25093)------------------------------
% 1.45/1.27 % (25093)------------------------------
% 1.45/1.27 % (25094)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_24928 for (2999ds/6Mi)
% 1.45/1.28 % (25092)Instruction limit reached!
% 1.45/1.28 % (25092)------------------------------
% 1.45/1.28 % (25092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.28 % (25092)Termination reason: Unknown
% 1.45/1.28 % (25092)Termination phase: Saturation
% 1.45/1.28
% 1.45/1.28 % (25092)Memory used [KB]: 5756
% 1.45/1.28 % (25092)Time elapsed: 0.012 s
% 1.45/1.28 % (25092)Instructions burned: 22 (million)
% 1.45/1.28 % (25092)------------------------------
% 1.45/1.28 % (25092)------------------------------
% 1.45/1.28 % (25095)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_24928 for (2999ds/377Mi)
% 1.45/1.28 % (25094)Instruction limit reached!
% 1.45/1.28 % (25094)------------------------------
% 1.45/1.28 % (25094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.28 % (25094)Termination reason: Unknown
% 1.45/1.28 % (25094)Termination phase: Property scanning
% 1.45/1.28
% 1.45/1.28 % (25094)Memory used [KB]: 1151
% 1.45/1.28 % (25094)Time elapsed: 0.004 s
% 1.45/1.28 % (25094)Instructions burned: 6 (million)
% 1.45/1.28 % (25094)------------------------------
% 1.45/1.28 % (25094)------------------------------
% 1.45/1.29 % (25096)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_24928 for (2998ds/779Mi)
% 1.45/1.29 % (25097)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_24928 for (2998ds/19Mi)
% 1.45/1.30 % (25097)Instruction limit reached!
% 1.45/1.30 % (25097)------------------------------
% 1.45/1.30 % (25097)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.30 % (25097)Termination reason: Unknown
% 1.45/1.30 % (25097)Termination phase: Saturation
% 1.45/1.30
% 1.45/1.30 % (25097)Memory used [KB]: 5628
% 1.45/1.30 % (25097)Time elapsed: 0.009 s
% 1.45/1.30 % (25097)Instructions burned: 19 (million)
% 1.45/1.30 % (25097)------------------------------
% 1.45/1.30 % (25097)------------------------------
% 1.45/1.31 % (25073)Instruction limit reached!
% 1.45/1.31 % (25073)------------------------------
% 1.45/1.31 % (25073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.31 % (25073)Termination reason: Unknown
% 1.45/1.31 % (25073)Termination phase: Saturation
% 1.45/1.31
% 1.45/1.31 % (25073)Memory used [KB]: 6524
% 1.45/1.31 % (25073)Time elapsed: 0.133 s
% 1.45/1.31 % (25073)Instructions burned: 277 (million)
% 1.45/1.31 % (25073)------------------------------
% 1.45/1.31 % (25073)------------------------------
% 1.45/1.32 % (25098)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_24928 for (2998ds/879Mi)
% 1.45/1.33 % (25099)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_24928 for (2998ds/17Mi)
% 1.45/1.34 % (25099)Instruction limit reached!
% 1.45/1.34 % (25099)------------------------------
% 1.45/1.34 % (25099)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.34 % (25099)Termination reason: Unknown
% 1.45/1.34 % (25099)Termination phase: Saturation
% 1.45/1.34
% 1.45/1.34 % (25099)Memory used [KB]: 5756
% 1.45/1.34 % (25099)Time elapsed: 0.010 s
% 1.45/1.34 % (25099)Instructions burned: 17 (million)
% 1.45/1.34 % (25099)------------------------------
% 1.45/1.34 % (25099)------------------------------
% 1.45/1.36 % (25100)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_24928 for (2998ds/3Mi)
% 1.45/1.36 % (25100)Instruction limit reached!
% 1.45/1.36 % (25100)------------------------------
% 1.45/1.36 % (25100)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.36 % (25100)Termination reason: Unknown
% 1.45/1.36 % (25100)Termination phase: Preprocessing 2
% 1.45/1.36
% 1.45/1.36 % (25100)Memory used [KB]: 1023
% 1.45/1.36 % (25100)Time elapsed: 0.003 s
% 1.45/1.36 % (25100)Instructions burned: 4 (million)
% 1.45/1.36 % (25100)------------------------------
% 1.45/1.36 % (25100)------------------------------
% 1.45/1.38 % (25101)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_24928 for (2998ds/30Mi)
% 1.45/1.40 % (25095)Instruction limit reached!
% 1.45/1.40 % (25095)------------------------------
% 1.45/1.40 % (25095)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.40 % (25095)Termination reason: Unknown
% 1.45/1.40 % (25095)Termination phase: Saturation
% 1.45/1.40
% 1.45/1.40 % (25095)Memory used [KB]: 6524
% 1.45/1.40 % (25095)Time elapsed: 0.114 s
% 1.45/1.40 % (25095)Instructions burned: 377 (million)
% 1.45/1.40 % (25095)------------------------------
% 1.45/1.40 % (25095)------------------------------
% 1.45/1.41 % (25101)Instruction limit reached!
% 1.45/1.41 % (25101)------------------------------
% 1.45/1.41 % (25101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.41 % (25101)Termination reason: Unknown
% 1.45/1.41 % (25101)Termination phase: Saturation
% 1.45/1.41
% 1.45/1.41 % (25101)Memory used [KB]: 5884
% 1.45/1.41 % (25101)Time elapsed: 0.046 s
% 1.45/1.41 % (25101)Instructions burned: 31 (million)
% 1.45/1.41 % (25101)------------------------------
% 1.45/1.41 % (25101)------------------------------
% 1.45/1.42 % (25103)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_24928 for (2997ds/100Mi)
% 1.45/1.42 % (25102)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_24928 for (2997ds/127Mi)
% 1.45/1.45 % (25103)Instruction limit reached!
% 1.45/1.45 % (25103)------------------------------
% 1.45/1.45 % (25103)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.45 % (25103)Termination reason: Unknown
% 1.45/1.45 % (25103)Termination phase: Saturation
% 1.45/1.45
% 1.45/1.45 % (25103)Memory used [KB]: 6140
% 1.45/1.45 % (25103)Time elapsed: 0.031 s
% 1.45/1.45 % (25103)Instructions burned: 101 (million)
% 1.45/1.45 % (25103)------------------------------
% 1.45/1.45 % (25103)------------------------------
% 1.45/1.46 % (25104)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_24928 for (2997ds/3Mi)
% 1.45/1.46 % (25104)Instruction limit reached!
% 1.45/1.46 % (25104)------------------------------
% 1.45/1.46 % (25104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.46 % (25104)Termination reason: Unknown
% 1.45/1.46 % (25104)Termination phase: shuffling
% 1.45/1.46
% 1.45/1.46 % (25104)Memory used [KB]: 1023
% 1.45/1.46 % (25104)Time elapsed: 0.002 s
% 1.45/1.46 % (25104)Instructions burned: 4 (million)
% 1.45/1.46 % (25104)------------------------------
% 1.45/1.46 % (25104)------------------------------
% 1.45/1.47 % (25105)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_24928 for (2997ds/20Mi)
% 1.45/1.47 % (25105)Instruction limit reached!
% 1.45/1.47 % (25105)------------------------------
% 1.45/1.47 % (25105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.47 % (25105)Termination reason: Unknown
% 1.45/1.47 % (25105)Termination phase: Saturation
% 1.45/1.47
% 1.45/1.47 % (25105)Memory used [KB]: 5756
% 1.45/1.47 % (25105)Time elapsed: 0.008 s
% 1.45/1.47 % (25105)Instructions burned: 21 (million)
% 1.45/1.47 % (25105)------------------------------
% 1.45/1.47 % (25105)------------------------------
% 1.45/1.47 % (25102)Instruction limit reached!
% 1.45/1.47 % (25102)------------------------------
% 1.45/1.47 % (25102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.47 % (25102)Termination reason: Unknown
% 1.45/1.47 % (25102)Termination phase: Saturation
% 1.45/1.47
% 1.45/1.47 % (25102)Memory used [KB]: 6268
% 1.45/1.47 % (25102)Time elapsed: 0.059 s
% 1.45/1.47 % (25102)Instructions burned: 129 (million)
% 1.45/1.47 % (25102)------------------------------
% 1.45/1.47 % (25102)------------------------------
% 1.45/1.48 % (25107)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_24928 for (2996ds/107Mi)
% 1.45/1.49 % (25106)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_24928 for (2996ds/86Mi)
% 1.45/1.52 % (25107)Instruction limit reached!
% 1.45/1.52 % (25107)------------------------------
% 1.45/1.52 % (25107)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.52 % (25107)Termination reason: Unknown
% 1.45/1.52 % (25107)Termination phase: Saturation
% 1.45/1.52
% 1.45/1.52 % (25107)Memory used [KB]: 6268
% 1.45/1.52 % (25107)Time elapsed: 0.036 s
% 1.45/1.52 % (25107)Instructions burned: 109 (million)
% 1.45/1.52 % (25107)------------------------------
% 1.45/1.52 % (25107)------------------------------
% 1.45/1.53 % (25108)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_24928 for (2996ds/39Mi)
% 1.45/1.53 % (25106)Instruction limit reached!
% 1.45/1.53 % (25106)------------------------------
% 1.45/1.53 % (25106)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.53 % (25106)Termination reason: Unknown
% 1.45/1.53 % (25106)Termination phase: Saturation
% 1.45/1.53
% 1.45/1.53 % (25106)Memory used [KB]: 6652
% 1.45/1.53 % (25106)Time elapsed: 0.041 s
% 1.45/1.53 % (25106)Instructions burned: 87 (million)
% 1.45/1.53 % (25106)------------------------------
% 1.45/1.53 % (25106)------------------------------
% 1.45/1.54 % (25108)Instruction limit reached!
% 1.45/1.54 % (25108)------------------------------
% 1.45/1.54 % (25108)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.54 % (25108)Termination reason: Unknown
% 1.45/1.54 % (25108)Termination phase: Saturation
% 1.45/1.54
% 1.45/1.54 % (25108)Memory used [KB]: 5628
% 1.45/1.54 % (25108)Time elapsed: 0.012 s
% 1.45/1.54 % (25108)Instructions burned: 42 (million)
% 1.45/1.54 % (25108)------------------------------
% 1.45/1.54 % (25108)------------------------------
% 1.45/1.54 % (25109)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_24928 for (2996ds/448Mi)
% 1.45/1.55 % (25110)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_24928 for (2996ds/46Mi)
% 1.45/1.57 % (25089)Instruction limit reached!
% 1.45/1.57 % (25089)------------------------------
% 1.45/1.57 % (25089)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.57 % (25089)Termination reason: Unknown
% 1.45/1.57 % (25089)Termination phase: Saturation
% 1.45/1.57
% 1.45/1.57 % (25089)Memory used [KB]: 8571
% 1.45/1.57 % (25089)Time elapsed: 0.320 s
% 1.45/1.57 % (25089)Instructions burned: 710 (million)
% 1.45/1.57 % (25089)------------------------------
% 1.45/1.57 % (25089)------------------------------
% 1.45/1.57 % (25110)Instruction limit reached!
% 1.45/1.57 % (25110)------------------------------
% 1.45/1.57 % (25110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.57 % (25110)Termination reason: Unknown
% 1.45/1.57 % (25110)Termination phase: Saturation
% 1.45/1.57
% 1.45/1.57 % (25110)Memory used [KB]: 5884
% 1.45/1.57 % (25110)Time elapsed: 0.023 s
% 1.45/1.57 % (25110)Instructions burned: 47 (million)
% 1.45/1.57 % (25110)------------------------------
% 1.45/1.57 % (25110)------------------------------
% 1.45/1.59 % (25111)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_24928 for (2996ds/98Mi)
% 1.45/1.59 % (25112)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_24928 for (2996ds/507Mi)
% 1.45/1.63 % (25111)Instruction limit reached!
% 1.45/1.63 % (25111)------------------------------
% 1.45/1.63 % (25111)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.63 % (25111)Termination reason: Unknown
% 1.45/1.63 % (25111)Termination phase: Saturation
% 1.45/1.63
% 1.45/1.63 % (25111)Memory used [KB]: 1279
% 1.45/1.63 % (25111)Time elapsed: 0.043 s
% 1.45/1.63 % (25111)Instructions burned: 100 (million)
% 1.45/1.63 % (25111)------------------------------
% 1.45/1.63 % (25111)------------------------------
% 1.45/1.64 % (25096)Instruction limit reached!
% 1.45/1.64 % (25096)------------------------------
% 1.45/1.64 % (25096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.64 % (25096)Termination reason: Unknown
% 1.45/1.64 % (25096)Termination phase: Saturation
% 1.45/1.64
% 1.45/1.64 % (25096)Memory used [KB]: 6780
% 1.45/1.64 % (25096)Time elapsed: 0.347 s
% 1.45/1.64 % (25096)Instructions burned: 780 (million)
% 1.45/1.64 % (25096)------------------------------
% 1.45/1.64 % (25096)------------------------------
% 1.45/1.64 % (25091)Instruction limit reached!
% 1.45/1.64 % (25091)------------------------------
% 1.45/1.64 % (25091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.64 % (25091)Termination reason: Unknown
% 1.45/1.64 % (25091)Termination phase: Saturation
% 1.45/1.64
% 1.45/1.64 % (25091)Memory used [KB]: 8187
% 1.45/1.64 % (25091)Time elapsed: 0.381 s
% 1.45/1.64 % (25091)Instructions burned: 904 (million)
% 1.45/1.64 % (25091)------------------------------
% 1.45/1.64 % (25091)------------------------------
% 1.45/1.64 % (25113)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_24928 for (2995ds/149Mi)
% 1.45/1.65 % (25115)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_24928 for (2995ds/6Mi)
% 1.45/1.65 % (25115)Instruction limit reached!
% 1.45/1.65 % (25115)------------------------------
% 1.45/1.65 % (25115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.65 % (25115)Termination reason: Unknown
% 1.45/1.65 % (25115)Termination phase: Property scanning
% 1.45/1.65
% 1.45/1.65 % (25115)Memory used [KB]: 1151
% 1.45/1.65 % (25115)Time elapsed: 0.003 s
% 1.45/1.65 % (25115)Instructions burned: 8 (million)
% 1.45/1.65 % (25115)------------------------------
% 1.45/1.65 % (25115)------------------------------
% 1.45/1.65 % (25114)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_24928 for (2995ds/39Mi)
% 1.45/1.66 % (25116)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_24928 for (2995ds/1087Mi)
% 1.45/1.67 % (25114)Instruction limit reached!
% 1.45/1.67 % (25114)------------------------------
% 1.45/1.67 % (25114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.67 % (25114)Termination reason: Unknown
% 1.45/1.67 % (25114)Termination phase: Saturation
% 1.45/1.67
% 1.45/1.67 % (25114)Memory used [KB]: 5884
% 1.45/1.67 % (25114)Time elapsed: 0.021 s
% 1.45/1.67 % (25114)Instructions burned: 39 (million)
% 1.45/1.67 % (25114)------------------------------
% 1.45/1.67 % (25114)------------------------------
% 1.45/1.68 % (25080)Instruction limit reached!
% 1.45/1.68 % (25080)------------------------------
% 1.45/1.68 % (25080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.68 % (25080)Termination reason: Unknown
% 1.45/1.68 % (25080)Termination phase: Saturation
% 1.45/1.68
% 1.45/1.68 % (25080)Memory used [KB]: 7547
% 1.45/1.68 % (25080)Time elapsed: 0.468 s
% 1.45/1.68 % (25080)Instructions burned: 1041 (million)
% 1.45/1.68 % (25080)------------------------------
% 1.45/1.68 % (25080)------------------------------
% 1.45/1.68 % (25117)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_24928 for (2995ds/47Mi)
% 1.45/1.70 % (25118)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_24928 for (2995ds/44Mi)
% 1.45/1.70 % (25117)Instruction limit reached!
% 1.45/1.70 % (25117)------------------------------
% 1.45/1.70 % (25117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.70 % (25117)Termination reason: Unknown
% 1.45/1.70 % (25117)Termination phase: Saturation
% 1.45/1.70
% 1.45/1.70 % (25117)Memory used [KB]: 6012
% 1.45/1.70 % (25117)Time elapsed: 0.016 s
% 1.45/1.70 % (25117)Instructions burned: 49 (million)
% 1.45/1.70 % (25117)------------------------------
% 1.45/1.70 % (25117)------------------------------
% 1.45/1.70 % (25113)Instruction limit reached!
% 1.45/1.70 % (25113)------------------------------
% 1.45/1.70 % (25113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.70 % (25113)Termination reason: Unknown
% 1.45/1.70 % (25113)Termination phase: Property scanning
% 1.45/1.70
% 1.45/1.70 % (25113)Memory used [KB]: 1407
% 1.45/1.70 % (25113)Time elapsed: 0.063 s
% 1.45/1.70 % (25113)Instructions burned: 149 (million)
% 1.45/1.70 % (25113)------------------------------
% 1.45/1.70 % (25113)------------------------------
% 1.45/1.71 % (25119)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_24928 for (2994ds/432Mi)
% 1.45/1.71 % (25098)Instruction limit reached!
% 1.45/1.71 % (25098)------------------------------
% 1.45/1.71 % (25098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.71 % (25098)Termination reason: Unknown
% 1.45/1.71 % (25098)Termination phase: Saturation
% 1.45/1.71
% 1.45/1.71 % (25098)Memory used [KB]: 7164
% 1.45/1.71 % (25098)Time elapsed: 0.392 s
% 1.45/1.71 % (25098)Instructions burned: 879 (million)
% 1.45/1.71 % (25098)------------------------------
% 1.45/1.71 % (25098)------------------------------
% 1.45/1.71 % (25118)Instruction limit reached!
% 1.45/1.71 % (25118)------------------------------
% 1.45/1.71 % (25118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.71 % (25118)Termination reason: Unknown
% 1.45/1.71 % (25118)Termination phase: Saturation
% 1.45/1.71
% 1.45/1.71 % (25118)Memory used [KB]: 1151
% 1.45/1.71 % (25118)Time elapsed: 0.019 s
% 1.45/1.71 % (25118)Instructions burned: 45 (million)
% 1.45/1.71 % (25118)------------------------------
% 1.45/1.71 % (25118)------------------------------
% 1.45/1.72 % (25120)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_24928 for (2994ds/62Mi)
% 1.45/1.73 % (25121)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_24928 for (2994ds/31Mi)
% 1.45/1.73 % (25122)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_24928 for (2994ds/96Mi)
% 1.45/1.74 % (25121)Instruction limit reached!
% 1.45/1.74 % (25121)------------------------------
% 1.45/1.74 % (25121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.74 % (25121)Termination reason: Unknown
% 1.45/1.74 % (25121)Termination phase: Saturation
% 1.45/1.74
% 1.45/1.74 % (25121)Memory used [KB]: 5884
% 1.45/1.74 % (25121)Time elapsed: 0.017 s
% 1.45/1.74 % (25121)Instructions burned: 31 (million)
% 1.45/1.74 % (25121)------------------------------
% 1.45/1.74 % (25121)------------------------------
% 1.45/1.75 % (25120)Instruction limit reached!
% 1.45/1.75 % (25120)------------------------------
% 1.45/1.75 % (25120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.75 % (25120)Termination reason: Unknown
% 1.45/1.75 % (25120)Termination phase: Saturation
% 1.45/1.75
% 1.45/1.75 % (25120)Memory used [KB]: 5756
% 1.45/1.75 % (25120)Time elapsed: 0.027 s
% 1.45/1.75 % (25120)Instructions burned: 62 (million)
% 1.45/1.75 % (25120)------------------------------
% 1.45/1.75 % (25120)------------------------------
% 1.45/1.75 % (25109)Instruction limit reached!
% 1.45/1.75 % (25109)------------------------------
% 1.45/1.75 % (25109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.75 % (25109)Termination reason: Unknown
% 1.45/1.75 % (25109)Termination phase: Saturation
% 1.45/1.75
% 1.45/1.75 % (25109)Memory used [KB]: 6652
% 1.45/1.75 % (25109)Time elapsed: 0.207 s
% 1.45/1.75 % (25109)Instructions burned: 449 (million)
% 1.45/1.75 % (25109)------------------------------
% 1.45/1.75 % (25109)------------------------------
% 1.45/1.76 % (25123)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_24928 for (2994ds/453Mi)
% 1.45/1.76 % (25124)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_24928 for (2994ds/71Mi)
% 1.45/1.76 % (25125)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_24928 for (2994ds/83Mi)
% 1.45/1.77 % (25122)Instruction limit reached!
% 1.45/1.77 % (25122)------------------------------
% 1.45/1.77 % (25122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.77 % (25122)Termination reason: Unknown
% 1.45/1.77 % (25122)Termination phase: Saturation
% 1.45/1.77
% 1.45/1.77 % (25122)Memory used [KB]: 6140
% 1.45/1.77 % (25122)Time elapsed: 0.067 s
% 1.45/1.77 % (25122)Instructions burned: 96 (million)
% 1.45/1.77 % (25122)------------------------------
% 1.45/1.77 % (25122)------------------------------
% 1.45/1.78 % (25112)Instruction limit reached!
% 1.45/1.78 % (25112)------------------------------
% 1.45/1.78 % (25112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.78 % (25112)Termination reason: Unknown
% 1.45/1.78 % (25112)Termination phase: Saturation
% 1.45/1.78
% 1.45/1.78 % (25112)Memory used [KB]: 6652
% 1.45/1.78 % (25112)Time elapsed: 0.193 s
% 1.45/1.78 % (25112)Instructions burned: 507 (million)
% 1.45/1.78 % (25112)------------------------------
% 1.45/1.78 % (25112)------------------------------
% 1.45/1.79 % (25127)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_24928 for (2994ds/41Mi)
% 1.45/1.79 % (25126)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_24928 for (2994ds/11Mi)
% 1.45/1.79 % (25126)Instruction limit reached!
% 1.45/1.79 % (25126)------------------------------
% 1.45/1.79 % (25126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.79 % (25126)Termination reason: Unknown
% 1.45/1.79 % (25126)Termination phase: Saturation
% 1.45/1.79
% 1.45/1.79 % (25126)Memory used [KB]: 1151
% 1.45/1.79 % (25126)Time elapsed: 0.006 s
% 1.45/1.79 % (25126)Instructions burned: 11 (million)
% 1.45/1.79 % (25126)------------------------------
% 1.45/1.79 % (25126)------------------------------
% 1.45/1.80 % (25124)Instruction limit reached!
% 1.45/1.80 % (25124)------------------------------
% 1.45/1.80 % (25124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.80 % (25124)Termination reason: Unknown
% 1.45/1.80 % (25124)Termination phase: Saturation
% 1.45/1.80
% 1.45/1.80 % (25124)Memory used [KB]: 6140
% 1.45/1.80 % (25124)Time elapsed: 0.059 s
% 1.45/1.80 % (25124)Instructions burned: 72 (million)
% 1.45/1.80 % (25124)------------------------------
% 1.45/1.80 % (25124)------------------------------
% 1.45/1.80 % (25127)Instruction limit reached!
% 1.45/1.80 % (25127)------------------------------
% 1.45/1.80 % (25127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.80 % (25127)Termination reason: Unknown
% 1.45/1.80 % (25127)Termination phase: Saturation
% 1.45/1.80
% 1.45/1.80 % (25127)Memory used [KB]: 5628
% 1.45/1.80 % (25127)Time elapsed: 0.012 s
% 1.45/1.80 % (25127)Instructions burned: 44 (million)
% 1.45/1.80 % (25127)------------------------------
% 1.45/1.80 % (25127)------------------------------
% 1.45/1.80 % (25125)Instruction limit reached!
% 1.45/1.80 % (25125)------------------------------
% 1.45/1.80 % (25125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.80 % (25125)Termination reason: Unknown
% 1.45/1.80 % (25125)Termination phase: Saturation
% 1.45/1.80
% 1.45/1.80 % (25125)Memory used [KB]: 6268
% 1.45/1.80 % (25125)Time elapsed: 0.063 s
% 1.45/1.80 % (25125)Instructions burned: 83 (million)
% 1.45/1.80 % (25125)------------------------------
% 1.45/1.80 % (25125)------------------------------
% 1.45/1.81 % (25128)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_24928 for (2993ds/6Mi)
% 1.45/1.81 % (25130)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_24928 for (2993ds/343Mi)
% 1.45/1.81 % (25128)Instruction limit reached!
% 1.45/1.81 % (25128)------------------------------
% 1.45/1.81 % (25128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.81 % (25128)Termination reason: Unknown
% 1.45/1.81 % (25128)Termination phase: Preprocessing 3
% 1.45/1.81
% 1.45/1.81 % (25128)Memory used [KB]: 1151
% 1.45/1.81 % (25128)Time elapsed: 0.004 s
% 1.45/1.81 % (25128)Instructions burned: 6 (million)
% 1.45/1.81 % (25128)------------------------------
% 1.45/1.81 % (25128)------------------------------
% 1.45/1.81 % (25129)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_24928 for (2993ds/150Mi)
% 1.45/1.81 % (25131)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_24928 for (2993ds/109Mi)
% 1.45/1.83 % (25132)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_24928 for (2993ds/253Mi)
% 1.45/1.85 % (25131)Instruction limit reached!
% 1.45/1.85 % (25131)------------------------------
% 1.45/1.85 % (25131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.85 % (25131)Termination reason: Unknown
% 1.45/1.85 % (25131)Termination phase: Saturation
% 1.45/1.85
% 1.45/1.85 % (25131)Memory used [KB]: 6524
% 1.45/1.85 % (25131)Time elapsed: 0.033 s
% 1.45/1.85 % (25131)Instructions burned: 109 (million)
% 1.45/1.85 % (25131)------------------------------
% 1.45/1.85 % (25131)------------------------------
% 1.45/1.86 % (25133)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_24928 for (2993ds/140Mi)
% 1.45/1.88 % (25129)Instruction limit reached!
% 1.45/1.88 % (25129)------------------------------
% 1.45/1.88 % (25129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.88 % (25129)Termination reason: Unknown
% 1.45/1.88 % (25129)Termination phase: Saturation
% 1.45/1.88
% 1.45/1.88 % (25129)Memory used [KB]: 6396
% 1.45/1.88 % (25129)Time elapsed: 0.095 s
% 1.45/1.88 % (25129)Instructions burned: 152 (million)
% 1.45/1.88 % (25129)------------------------------
% 1.45/1.88 % (25129)------------------------------
% 1.45/1.90 % (25119)Instruction limit reached!
% 1.45/1.90 % (25119)------------------------------
% 1.45/1.90 % (25119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.90 % (25119)Termination reason: Unknown
% 1.45/1.90 % (25119)Termination phase: Saturation
% 1.45/1.90
% 1.45/1.90 % (25119)Memory used [KB]: 5373
% 1.45/1.90 % (25119)Time elapsed: 0.195 s
% 1.45/1.90 % (25119)Instructions burned: 432 (million)
% 1.45/1.90 % (25119)------------------------------
% 1.45/1.90 % (25119)------------------------------
% 1.45/1.90 % (25133)Instruction limit reached!
% 1.45/1.90 % (25133)------------------------------
% 1.45/1.90 % (25133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.90 % (25133)Termination reason: Unknown
% 1.45/1.90 % (25133)Termination phase: Saturation
% 1.45/1.90
% 1.45/1.90 % (25133)Memory used [KB]: 6396
% 1.45/1.90 % (25133)Time elapsed: 0.046 s
% 1.45/1.90 % (25133)Instructions burned: 140 (million)
% 1.45/1.90 % (25133)------------------------------
% 1.45/1.90 % (25133)------------------------------
% 1.45/1.91 % (25134)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_24928 for (2992ds/614Mi)
% 1.45/1.92 % (25135)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_24928 for (2992ds/202Mi)
% 1.45/1.92 % (25136)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_24928 for (2992ds/339Mi)
% 1.45/1.95 % (25132)Instruction limit reached!
% 1.45/1.95 % (25132)------------------------------
% 1.45/1.95 % (25132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.95 % (25132)Termination reason: Unknown
% 1.45/1.95 % (25132)Termination phase: Saturation
% 1.45/1.95
% 1.45/1.95 % (25132)Memory used [KB]: 6396
% 1.45/1.95 % (25132)Time elapsed: 0.123 s
% 1.45/1.95 % (25132)Instructions burned: 253 (million)
% 1.45/1.95 % (25132)------------------------------
% 1.45/1.95 % (25132)------------------------------
% 1.45/1.96 % (25123)Instruction limit reached!
% 1.45/1.96 % (25123)------------------------------
% 1.45/1.96 % (25123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.96 % (25123)Termination reason: Unknown
% 1.45/1.96 % (25123)Termination phase: Saturation
% 1.45/1.96
% 1.45/1.96 % (25123)Memory used [KB]: 6652
% 1.45/1.96 % (25123)Time elapsed: 0.227 s
% 1.45/1.96 % (25123)Instructions burned: 453 (million)
% 1.45/1.96 % (25123)------------------------------
% 1.45/1.96 % (25123)------------------------------
% 1.45/1.97 % (25137)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_24928 for (2992ds/283Mi)
% 1.45/1.98 % (25138)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_24928 for (2992ds/134Mi)
% 1.45/1.98 % (25130)Instruction limit reached!
% 1.45/1.98 % (25130)------------------------------
% 1.45/1.98 % (25130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/1.98 % (25130)Termination reason: Unknown
% 1.45/1.98 % (25130)Termination phase: Saturation
% 1.45/1.98
% 1.45/1.98 % (25130)Memory used [KB]: 6780
% 1.45/1.98 % (25130)Time elapsed: 0.189 s
% 1.45/1.98 % (25130)Instructions burned: 343 (million)
% 1.45/1.98 % (25130)------------------------------
% 1.45/1.98 % (25130)------------------------------
% 1.45/1.99 % (25139)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_24928 for (2991ds/298Mi)
% 1.45/2.01 % (25135)Instruction limit reached!
% 1.45/2.01 % (25135)------------------------------
% 1.45/2.01 % (25135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.45/2.01 % (25135)Termination reason: Unknown
% 1.45/2.01 % (25135)Termination phase: Saturation
% 1.45/2.01
% 1.45/2.01 % (25135)Memory used [KB]: 6524
% 1.45/2.01 % (25135)Time elapsed: 0.093 s
% 1.45/2.01 % (25135)Instructions burned: 203 (million)
% 1.45/2.01 % (25135)------------------------------
% 1.45/2.01 % (25135)------------------------------
% 7.23/2.02 % (25140)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_24928 for (2991ds/192Mi)
% 7.23/2.04 % (25138)Instruction limit reached!
% 7.23/2.04 % (25138)------------------------------
% 7.23/2.04 % (25138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.04 % (25138)Termination reason: Unknown
% 7.23/2.04 % (25138)Termination phase: Saturation
% 7.23/2.04
% 7.23/2.04 % (25138)Memory used [KB]: 6396
% 7.23/2.04 % (25138)Time elapsed: 0.066 s
% 7.23/2.04 % (25138)Instructions burned: 135 (million)
% 7.23/2.04 % (25138)------------------------------
% 7.23/2.04 % (25138)------------------------------
% 7.23/2.06 % (25141)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_24928 for (2991ds/258Mi)
% 7.23/2.08 % (25136)Instruction limit reached!
% 7.23/2.08 % (25136)------------------------------
% 7.23/2.08 % (25136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.08 % (25136)Termination reason: Unknown
% 7.23/2.08 % (25136)Termination phase: Saturation
% 7.23/2.08
% 7.23/2.08 % (25136)Memory used [KB]: 6780
% 7.23/2.08 % (25136)Time elapsed: 0.163 s
% 7.23/2.08 % (25136)Instructions burned: 340 (million)
% 7.23/2.08 % (25136)------------------------------
% 7.23/2.08 % (25136)------------------------------
% 7.23/2.09 % (25139)Instruction limit reached!
% 7.23/2.09 % (25139)------------------------------
% 7.23/2.09 % (25139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.09 % (25139)Termination reason: Unknown
% 7.23/2.09 % (25139)Termination phase: Saturation
% 7.23/2.09
% 7.23/2.09 % (25139)Memory used [KB]: 6396
% 7.23/2.09 % (25139)Time elapsed: 0.103 s
% 7.23/2.09 % (25139)Instructions burned: 298 (million)
% 7.23/2.09 % (25139)------------------------------
% 7.23/2.09 % (25139)------------------------------
% 7.23/2.10 % (25142)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_24928 for (2990ds/90Mi)
% 7.23/2.10 % (25137)Instruction limit reached!
% 7.23/2.10 % (25137)------------------------------
% 7.23/2.10 % (25137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.10 % (25137)Termination reason: Unknown
% 7.23/2.10 % (25137)Termination phase: Saturation
% 7.23/2.10
% 7.23/2.10 % (25137)Memory used [KB]: 7803
% 7.23/2.10 % (25137)Time elapsed: 0.142 s
% 7.23/2.10 % (25137)Instructions burned: 283 (million)
% 7.23/2.10 % (25137)------------------------------
% 7.23/2.10 % (25137)------------------------------
% 7.23/2.10 % (25143)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_24928 for (2990ds/231Mi)
% 7.23/2.11 % (25140)Instruction limit reached!
% 7.23/2.11 % (25140)------------------------------
% 7.23/2.11 % (25140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.11 % (25140)Termination reason: Unknown
% 7.23/2.11 % (25140)Termination phase: Saturation
% 7.23/2.11
% 7.23/2.11 % (25140)Memory used [KB]: 6652
% 7.23/2.11 % (25140)Time elapsed: 0.089 s
% 7.23/2.11 % (25140)Instructions burned: 193 (million)
% 7.23/2.11 % (25140)------------------------------
% 7.23/2.11 % (25140)------------------------------
% 7.23/2.12 % (25144)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_24928 for (2990ds/458Mi)
% 7.80/2.13 % (25134)Instruction limit reached!
% 7.80/2.13 % (25134)------------------------------
% 7.80/2.13 % (25134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.80/2.13 % (25134)Termination reason: Unknown
% 7.80/2.13 % (25134)Termination phase: Saturation
% 7.80/2.13
% 7.80/2.13 % (25134)Memory used [KB]: 7291
% 7.80/2.13 % (25134)Time elapsed: 0.236 s
% 7.80/2.13 % (25134)Instructions burned: 615 (million)
% 7.80/2.13 % (25134)------------------------------
% 7.80/2.13 % (25134)------------------------------
% 7.80/2.13 % (25145)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_24928 for (2990ds/31Mi)
% 7.80/2.14 % (25146)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_24928 for (2990ds/297Mi)
% 7.80/2.14 % (25142)Instruction limit reached!
% 7.80/2.14 % (25142)------------------------------
% 7.80/2.14 % (25142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.80/2.14 % (25142)Termination reason: Unknown
% 7.80/2.14 % (25142)Termination phase: Saturation
% 7.80/2.14
% 7.80/2.14 % (25142)Memory used [KB]: 6140
% 7.80/2.14 % (25142)Time elapsed: 0.046 s
% 7.80/2.14 % (25142)Instructions burned: 91 (million)
% 7.80/2.14 % (25142)------------------------------
% 7.80/2.14 % (25142)------------------------------
% 7.80/2.14 % (25145)Instruction limit reached!
% 7.80/2.14 % (25145)------------------------------
% 7.80/2.14 % (25145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.80/2.14 % (25145)Termination reason: Unknown
% 7.80/2.14 % (25145)Termination phase: Saturation
% 7.80/2.14
% 7.80/2.14 % (25145)Memory used [KB]: 5884
% 7.80/2.14 % (25145)Time elapsed: 0.017 s
% 7.80/2.14 % (25145)Instructions burned: 31 (million)
% 7.80/2.14 % (25145)------------------------------
% 7.80/2.14 % (25145)------------------------------
% 7.80/2.16 % (25147)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_24928 for (2990ds/987Mi)
% 7.80/2.16 % (25148)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_24928 for (2990ds/182Mi)
% 7.80/2.16 % (25141)Instruction limit reached!
% 7.80/2.16 % (25141)------------------------------
% 7.80/2.16 % (25141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.80/2.16 % (25141)Termination reason: Unknown
% 7.80/2.16 % (25141)Termination phase: Property scanning
% 7.80/2.16
% 7.80/2.16 % (25141)Memory used [KB]: 1407
% 7.80/2.16 % (25141)Time elapsed: 0.107 s
% 7.80/2.16 % (25141)Instructions burned: 259 (million)
% 7.80/2.16 % (25141)------------------------------
% 7.80/2.16 % (25141)------------------------------
% 7.80/2.18 % (25149)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_24928 for (2990ds/182Mi)
% 7.80/2.18 % (25116)Instruction limit reached!
% 7.80/2.18 % (25116)------------------------------
% 7.80/2.18 % (25116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.80/2.18 % (25116)Termination reason: Unknown
% 7.80/2.18 % (25116)Termination phase: Saturation
% 7.80/2.18
% 7.80/2.18 % (25116)Memory used [KB]: 8571
% 7.80/2.18 % (25116)Time elapsed: 0.520 s
% 7.80/2.18 % (25116)Instructions burned: 1087 (million)
% 7.80/2.18 % (25116)------------------------------
% 7.80/2.18 % (25116)------------------------------
% 7.80/2.18 % (25143)Instruction limit reached!
% 7.80/2.18 % (25143)------------------------------
% 7.80/2.18 % (25143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.80/2.18 % (25143)Termination reason: Unknown
% 7.80/2.18 % (25143)Termination phase: Saturation
% 7.80/2.18
% 7.80/2.18 % (25143)Memory used [KB]: 6012
% 7.80/2.18 % (25143)Time elapsed: 0.081 s
% 7.80/2.18 % (25143)Instructions burned: 231 (million)
% 7.80/2.18 % (25143)------------------------------
% 7.80/2.18 % (25143)------------------------------
% 8.17/2.20 % (25151)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_24928 for (2989ds/79Mi)
% 8.17/2.20 % (25150)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_24928 for (2989ds/154Mi)
% 8.17/2.23 % (25148)Instruction limit reached!
% 8.17/2.23 % (25148)------------------------------
% 8.17/2.23 % (25148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.23 % (25148)Termination reason: Unknown
% 8.17/2.23 % (25148)Termination phase: Property scanning
% 8.17/2.23
% 8.17/2.23 % (25148)Memory used [KB]: 1407
% 8.17/2.23 % (25148)Time elapsed: 0.077 s
% 8.17/2.23 % (25148)Instructions burned: 182 (million)
% 8.17/2.23 % (25148)------------------------------
% 8.17/2.23 % (25148)------------------------------
% 8.17/2.24 % (25151)Instruction limit reached!
% 8.17/2.24 % (25151)------------------------------
% 8.17/2.24 % (25151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.24 % (25151)Termination reason: Unknown
% 8.17/2.24 % (25151)Termination phase: Saturation
% 8.17/2.24
% 8.17/2.24 % (25151)Memory used [KB]: 6140
% 8.17/2.24 % (25151)Time elapsed: 0.041 s
% 8.17/2.24 % (25151)Instructions burned: 79 (million)
% 8.17/2.24 % (25151)------------------------------
% 8.17/2.24 % (25151)------------------------------
% 8.17/2.25 % (25150)Instruction limit reached!
% 8.17/2.25 % (25150)------------------------------
% 8.17/2.25 % (25150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.25 % (25150)Termination reason: Unknown
% 8.17/2.25 % (25150)Termination phase: Saturation
% 8.17/2.25
% 8.17/2.25 % (25150)Memory used [KB]: 6268
% 8.17/2.25 % (25150)Time elapsed: 0.068 s
% 8.17/2.25 % (25150)Instructions burned: 155 (million)
% 8.17/2.25 % (25150)------------------------------
% 8.17/2.25 % (25150)------------------------------
% 8.17/2.25 % (25146)Instruction limit reached!
% 8.17/2.25 % (25146)------------------------------
% 8.17/2.25 % (25146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.25 % (25146)Termination reason: Unknown
% 8.17/2.25 % (25146)Termination phase: Saturation
% 8.17/2.25
% 8.17/2.25 % (25146)Memory used [KB]: 6268
% 8.17/2.25 % (25146)Time elapsed: 0.105 s
% 8.17/2.25 % (25146)Instructions burned: 298 (million)
% 8.17/2.25 % (25146)------------------------------
% 8.17/2.25 % (25146)------------------------------
% 8.17/2.25 % (25152)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_24928 for (2989ds/216Mi)
% 8.17/2.25 % (25154)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_24928 for (2989ds/922Mi)
% 8.17/2.25 % (25153)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_24928 for (2989ds/114Mi)
% 8.17/2.26 % (25155)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_24928 for (2989ds/182Mi)
% 8.17/2.27 % (25149)Instruction limit reached!
% 8.17/2.27 % (25149)------------------------------
% 8.17/2.27 % (25149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.27 % (25149)Termination reason: Unknown
% 8.17/2.27 % (25149)Termination phase: Saturation
% 8.17/2.27
% 8.17/2.27 % (25149)Memory used [KB]: 6268
% 8.17/2.27 % (25149)Time elapsed: 0.090 s
% 8.17/2.27 % (25149)Instructions burned: 182 (million)
% 8.17/2.27 % (25149)------------------------------
% 8.17/2.27 % (25149)------------------------------
% 8.17/2.27 % (25144)Instruction limit reached!
% 8.17/2.27 % (25144)------------------------------
% 8.17/2.27 % (25144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.27 % (25144)Termination reason: Unknown
% 8.17/2.27 % (25144)Termination phase: Saturation
% 8.17/2.27
% 8.17/2.27 % (25144)Memory used [KB]: 6652
% 8.17/2.27 % (25144)Time elapsed: 0.159 s
% 8.17/2.27 % (25144)Instructions burned: 460 (million)
% 8.17/2.27 % (25144)------------------------------
% 8.17/2.27 % (25144)------------------------------
% 8.17/2.28 % (25156)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_24928 for (2989ds/164Mi)
% 8.17/2.29 % (25157)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_24928 for (2989ds/50Mi)
% 8.77/2.31 % (25153)Instruction limit reached!
% 8.77/2.31 % (25153)------------------------------
% 8.77/2.31 % (25153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.77/2.31 % (25153)Termination reason: Unknown
% 8.77/2.31 % (25153)Termination phase: Saturation
% 8.77/2.31
% 8.77/2.31 % (25153)Memory used [KB]: 6396
% 8.77/2.31 % (25153)Time elapsed: 0.057 s
% 8.77/2.31 % (25153)Instructions burned: 114 (million)
% 8.77/2.31 % (25153)------------------------------
% 8.77/2.31 % (25153)------------------------------
% 8.77/2.31 % (25157)Instruction limit reached!
% 8.77/2.31 % (25157)------------------------------
% 8.77/2.31 % (25157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.77/2.31 % (25157)Termination reason: Unknown
% 8.77/2.31 % (25157)Termination phase: Saturation
% 8.77/2.31
% 8.77/2.31 % (25157)Memory used [KB]: 10362
% 8.77/2.31 % (25157)Time elapsed: 0.024 s
% 8.77/2.31 % (25157)Instructions burned: 51 (million)
% 8.77/2.31 % (25157)------------------------------
% 8.77/2.31 % (25157)------------------------------
% 8.77/2.33 % (25158)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_24928 for (2988ds/368Mi)
% 8.77/2.33 % (25159)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_24928 for (2988ds/1021Mi)
% 8.77/2.34 % (25155)Instruction limit reached!
% 8.77/2.34 % (25155)------------------------------
% 8.77/2.34 % (25155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.77/2.34 % (25155)Termination reason: Unknown
% 8.77/2.34 % (25155)Termination phase: Saturation
% 8.77/2.34
% 8.77/2.34 % (25155)Memory used [KB]: 6012
% 8.77/2.34 % (25155)Time elapsed: 0.082 s
% 8.77/2.34 % (25155)Instructions burned: 182 (million)
% 8.77/2.34 % (25155)------------------------------
% 8.77/2.34 % (25155)------------------------------
% 8.77/2.34 % (25152)Instruction limit reached!
% 8.77/2.34 % (25152)------------------------------
% 8.77/2.34 % (25152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.77/2.34 % (25152)Termination reason: Unknown
% 8.77/2.34 % (25152)Termination phase: Saturation
% 8.77/2.34
% 8.77/2.34 % (25152)Memory used [KB]: 6140
% 8.77/2.34 % (25152)Time elapsed: 0.096 s
% 8.77/2.34 % (25152)Instructions burned: 216 (million)
% 8.77/2.34 % (25152)------------------------------
% 8.77/2.34 % (25152)------------------------------
% 8.77/2.36 % (25160)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_24928 for (2988ds/267Mi)
% 8.77/2.36 % (25161)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_24928 for (2988ds/204Mi)
% 8.77/2.36 % (25156)Instruction limit reached!
% 8.77/2.36 % (25156)------------------------------
% 8.77/2.36 % (25156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.77/2.36 % (25156)Termination reason: Unknown
% 8.77/2.36 % (25156)Termination phase: Saturation
% 8.77/2.36
% 8.77/2.36 % (25156)Memory used [KB]: 1791
% 8.77/2.36 % (25156)Time elapsed: 0.084 s
% 8.77/2.36 % (25156)Instructions burned: 164 (million)
% 8.77/2.36 % (25156)------------------------------
% 8.77/2.36 % (25156)------------------------------
% 8.77/2.38 % (25162)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_24928 for (2988ds/26Mi)
% 8.77/2.39 % (25162)Instruction limit reached!
% 8.77/2.39 % (25162)------------------------------
% 8.77/2.39 % (25162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.77/2.39 % (25162)Termination reason: Unknown
% 8.77/2.39 % (25162)Termination phase: Saturation
% 8.77/2.39
% 8.77/2.39 % (25162)Memory used [KB]: 5628
% 8.77/2.39 % (25162)Time elapsed: 0.012 s
% 8.77/2.39 % (25162)Instructions burned: 26 (million)
% 8.77/2.39 % (25162)------------------------------
% 8.77/2.39 % (25162)------------------------------
% 9.21/2.41 % (25163)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_24928 for (2987ds/53Mi)
% 9.21/2.44 % (25163)Instruction limit reached!
% 9.21/2.44 % (25163)------------------------------
% 9.21/2.44 % (25163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.44 % (25163)Termination reason: Unknown
% 9.21/2.44 % (25163)Termination phase: Saturation
% 9.21/2.44
% 9.21/2.44 % (25163)Memory used [KB]: 5628
% 9.21/2.44 % (25163)Time elapsed: 0.062 s
% 9.21/2.44 % (25163)Instructions burned: 53 (million)
% 9.21/2.44 % (25163)------------------------------
% 9.21/2.44 % (25163)------------------------------
% 9.21/2.45 % (25164)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_24928 for (2987ds/4436Mi)
% 9.21/2.46 % (25161)Instruction limit reached!
% 9.21/2.46 % (25161)------------------------------
% 9.21/2.46 % (25161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.46 % (25161)Termination reason: Unknown
% 9.21/2.46 % (25161)Termination phase: Saturation
% 9.21/2.46
% 9.21/2.46 % (25161)Memory used [KB]: 6140
% 9.21/2.46 % (25161)Time elapsed: 0.123 s
% 9.21/2.46 % (25161)Instructions burned: 204 (million)
% 9.21/2.46 % (25161)------------------------------
% 9.21/2.46 % (25161)------------------------------
% 9.21/2.48 % (25165)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_24928 for (2987ds/1539Mi)
% 9.21/2.48 % (25160)Instruction limit reached!
% 9.21/2.48 % (25160)------------------------------
% 9.21/2.48 % (25160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.48 % (25160)Termination reason: Unknown
% 9.21/2.48 % (25160)Termination phase: Saturation
% 9.21/2.48
% 9.21/2.48 % (25160)Memory used [KB]: 6780
% 9.21/2.48 % (25160)Time elapsed: 0.144 s
% 9.21/2.48 % (25160)Instructions burned: 268 (million)
% 9.21/2.48 % (25160)------------------------------
% 9.21/2.48 % (25160)------------------------------
% 9.21/2.49 % (25158)Instruction limit reached!
% 9.21/2.49 % (25158)------------------------------
% 9.21/2.49 % (25158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.49 % (25158)Termination reason: Unknown
% 9.21/2.49 % (25158)Termination phase: Saturation
% 9.21/2.49
% 9.21/2.49 % (25158)Memory used [KB]: 7291
% 9.21/2.49 % (25158)Time elapsed: 0.171 s
% 9.21/2.49 % (25158)Instructions burned: 368 (million)
% 9.21/2.49 % (25158)------------------------------
% 9.21/2.49 % (25158)------------------------------
% 9.67/2.50 % (25166)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_24928 for (2987ds/408Mi)
% 9.67/2.51 % (25167)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_24928 for (2986ds/5205Mi)
% 9.67/2.59 % (25147)Instruction limit reached!
% 9.67/2.59 % (25147)------------------------------
% 9.67/2.59 % (25147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.67/2.59 % (25147)Termination reason: Unknown
% 9.67/2.59 % (25147)Termination phase: Saturation
% 9.67/2.59
% 9.67/2.59 % (25147)Memory used [KB]: 7164
% 9.67/2.59 % (25147)Time elapsed: 0.433 s
% 9.67/2.59 % (25147)Instructions burned: 988 (million)
% 9.67/2.59 % (25147)------------------------------
% 9.67/2.59 % (25147)------------------------------
% 10.12/2.60 % (25154)Instruction limit reached!
% 10.12/2.60 % (25154)------------------------------
% 10.12/2.60 % (25154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.12/2.60 % (25154)Termination reason: Unknown
% 10.12/2.60 % (25154)Termination phase: Saturation
% 10.12/2.60
% 10.12/2.60 % (25154)Memory used [KB]: 7547
% 10.12/2.60 % (25154)Time elapsed: 0.364 s
% 10.12/2.60 % (25154)Instructions burned: 922 (million)
% 10.12/2.60 % (25154)------------------------------
% 10.12/2.60 % (25154)------------------------------
% 10.12/2.61 % (25168)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_24928 for (2985ds/1913Mi)
% 10.12/2.62 % (25169)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_24928 for (2985ds/4350Mi)
% 10.12/2.68 % (25166)Instruction limit reached!
% 10.12/2.68 % (25166)------------------------------
% 10.12/2.68 % (25166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.12/2.68 % (25166)Termination reason: Unknown
% 10.12/2.68 % (25166)Termination phase: Saturation
% 10.12/2.68
% 10.12/2.68 % (25166)Memory used [KB]: 7164
% 10.12/2.68 % (25166)Time elapsed: 0.209 s
% 10.12/2.68 % (25166)Instructions burned: 408 (million)
% 10.12/2.68 % (25166)------------------------------
% 10.12/2.68 % (25166)------------------------------
% 10.66/2.70 % (25170)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_24928 for (2984ds/68Mi)
% 10.66/2.73 % (25170)Instruction limit reached!
% 10.66/2.73 % (25170)------------------------------
% 10.66/2.73 % (25170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.66/2.73 % (25170)Termination reason: Unknown
% 10.66/2.73 % (25170)Termination phase: Saturation
% 10.66/2.73
% 10.66/2.73 % (25170)Memory used [KB]: 6140
% 10.66/2.73 % (25170)Time elapsed: 0.022 s
% 10.66/2.73 % (25170)Instructions burned: 70 (million)
% 10.66/2.73 % (25170)------------------------------
% 10.66/2.73 % (25170)------------------------------
% 10.66/2.73 % (25171)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_24928 for (2984ds/358Mi)
% 10.70/2.80 % (25159)Instruction limit reached!
% 10.70/2.80 % (25159)------------------------------
% 10.70/2.80 % (25159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.70/2.80 % (25159)Termination reason: Unknown
% 10.70/2.80 % (25159)Termination phase: Saturation
% 10.70/2.80
% 10.70/2.80 % (25159)Memory used [KB]: 8827
% 10.70/2.80 % (25159)Time elapsed: 0.475 s
% 10.70/2.80 % (25159)Instructions burned: 1022 (million)
% 10.70/2.80 % (25159)------------------------------
% 10.70/2.80 % (25159)------------------------------
% 10.70/2.83 % (25172)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_24928 for (2983ds/31Mi)
% 10.70/2.85 % (25172)Instruction limit reached!
% 10.70/2.85 % (25172)------------------------------
% 10.70/2.85 % (25172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.70/2.85 % (25172)Termination reason: Unknown
% 10.70/2.85 % (25172)Termination phase: Saturation
% 10.70/2.85
% 10.70/2.85 % (25172)Memory used [KB]: 5884
% 10.70/2.85 % (25172)Time elapsed: 0.037 s
% 10.70/2.85 % (25172)Instructions burned: 32 (million)
% 10.70/2.85 % (25172)------------------------------
% 10.70/2.85 % (25172)------------------------------
% 10.70/2.86 % (25171)Instruction limit reached!
% 10.70/2.86 % (25171)------------------------------
% 10.70/2.86 % (25171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.70/2.86 % (25171)Termination reason: Unknown
% 10.70/2.86 % (25171)Termination phase: Saturation
% 10.70/2.86
% 10.70/2.86 % (25171)Memory used [KB]: 6268
% 10.70/2.86 % (25171)Time elapsed: 0.128 s
% 10.70/2.86 % (25171)Instructions burned: 358 (million)
% 10.70/2.86 % (25171)------------------------------
% 10.70/2.86 % (25171)------------------------------
% 10.70/2.86 % (25173)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_24928 for (2983ds/279Mi)
% 10.70/2.87 % (25174)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_24928 for (2983ds/258Mi)
% 11.32/2.94 % (25174)Instruction limit reached!
% 11.32/2.94 % (25174)------------------------------
% 11.32/2.94 % (25174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.32/2.94 % (25174)Termination reason: Unknown
% 11.32/2.94 % (25174)Termination phase: Saturation
% 11.32/2.94
% 11.32/2.94 % (25174)Memory used [KB]: 6652
% 11.32/2.95 % (25174)Time elapsed: 0.079 s
% 11.32/2.95 % (25174)Instructions burned: 258 (million)
% 11.32/2.95 % (25174)------------------------------
% 11.32/2.95 % (25174)------------------------------
% 11.32/2.95 % (25175)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_24928 for (2982ds/26Mi)
% 11.32/2.96 % (25175)Instruction limit reached!
% 11.32/2.96 % (25175)------------------------------
% 11.32/2.96 % (25175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.32/2.96 % (25175)Termination reason: Unknown
% 11.32/2.96 % (25175)Termination phase: Saturation
% 11.32/2.96
% 11.32/2.96 % (25175)Memory used [KB]: 5628
% 11.32/2.96 % (25175)Time elapsed: 0.008 s
% 11.32/2.96 % (25175)Instructions burned: 27 (million)
% 11.32/2.96 % (25175)------------------------------
% 11.32/2.96 % (25175)------------------------------
% 11.32/2.97 % (25176)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_24928 for (2982ds/995Mi)
% 11.32/2.99 % (25173)Instruction limit reached!
% 11.32/2.99 % (25173)------------------------------
% 11.32/2.99 % (25173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.32/2.99 % (25173)Termination reason: Unknown
% 11.32/2.99 % (25173)Termination phase: Saturation
% 11.32/2.99
% 11.32/2.99 % (25173)Memory used [KB]: 6140
% 11.32/2.99 % (25173)Time elapsed: 0.128 s
% 11.32/2.99 % (25173)Instructions burned: 279 (million)
% 11.32/2.99 % (25173)------------------------------
% 11.32/2.99 % (25173)------------------------------
% 11.32/3.01 % (25177)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_24928 for (2981ds/373Mi)
% 14.82/3.15 % (25165)Instruction limit reached!
% 14.82/3.15 % (25165)------------------------------
% 14.82/3.15 % (25165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.82/3.15 % (25165)Termination reason: Unknown
% 14.82/3.15 % (25165)Termination phase: Saturation
% 14.82/3.15
% 14.82/3.15 % (25165)Memory used [KB]: 7803
% 14.82/3.15 % (25165)Time elapsed: 0.694 s
% 14.82/3.15 % (25165)Instructions burned: 1541 (million)
% 14.82/3.15 % (25165)------------------------------
% 14.82/3.15 % (25165)------------------------------
% 14.82/3.18 % (25178)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_24928 for (2980ds/253Mi)
% 14.82/3.18 % (25177)Instruction limit reached!
% 14.82/3.18 % (25177)------------------------------
% 14.82/3.18 % (25177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.82/3.18 % (25177)Termination reason: Unknown
% 14.82/3.18 % (25177)Termination phase: Saturation
% 14.82/3.18
% 14.82/3.18 % (25177)Memory used [KB]: 7803
% 14.82/3.18 % (25177)Time elapsed: 0.174 s
% 14.82/3.18 % (25177)Instructions burned: 373 (million)
% 14.82/3.18 % (25177)------------------------------
% 14.82/3.18 % (25177)------------------------------
% 14.82/3.20 % (25179)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_24928 for (2979ds/832Mi)
% 15.77/3.30 % (25178)Instruction limit reached!
% 15.77/3.30 % (25178)------------------------------
% 15.77/3.30 % (25178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.77/3.30 % (25178)Termination reason: Unknown
% 15.77/3.30 % (25178)Termination phase: Saturation
% 15.77/3.30
% 15.77/3.30 % (25178)Memory used [KB]: 6524
% 15.77/3.30 % (25178)Time elapsed: 0.121 s
% 15.77/3.30 % (25178)Instructions burned: 253 (million)
% 15.77/3.30 % (25178)------------------------------
% 15.77/3.30 % (25178)------------------------------
% 15.77/3.31 % (25180)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_24928 for (2978ds/668Mi)
% 15.77/3.34 % (25168)Instruction limit reached!
% 15.77/3.34 % (25168)------------------------------
% 15.77/3.34 % (25168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.77/3.34 % (25168)Termination reason: Unknown
% 15.77/3.34 % (25168)Termination phase: Saturation
% 15.77/3.34
% 15.77/3.34 % (25168)Memory used [KB]: 3198
% 15.77/3.34 % (25168)Time elapsed: 0.763 s
% 15.77/3.34 % (25168)Instructions burned: 1915 (million)
% 15.77/3.34 % (25168)------------------------------
% 15.77/3.34 % (25168)------------------------------
% 15.77/3.35 % (25181)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_24928 for (2978ds/40Mi)
% 15.77/3.36 % (25176)Instruction limit reached!
% 15.77/3.36 % (25176)------------------------------
% 15.77/3.36 % (25176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.77/3.36 % (25176)Termination reason: Unknown
% 15.77/3.36 % (25176)Termination phase: Saturation
% 15.77/3.36
% 15.77/3.36 % (25176)Memory used [KB]: 6780
% 15.77/3.36 % (25176)Time elapsed: 0.387 s
% 15.77/3.36 % (25176)Instructions burned: 995 (million)
% 15.77/3.36 % (25176)------------------------------
% 15.77/3.36 % (25176)------------------------------
% 15.77/3.36 % (25181)Instruction limit reached!
% 15.77/3.36 % (25181)------------------------------
% 15.77/3.36 % (25181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.77/3.36 % (25181)Termination reason: Unknown
% 15.77/3.36 % (25181)Termination phase: Saturation
% 15.77/3.36
% 15.77/3.36 % (25181)Memory used [KB]: 5628
% 15.77/3.36 % (25181)Time elapsed: 0.012 s
% 15.77/3.36 % (25181)Instructions burned: 42 (million)
% 15.77/3.36 % (25181)------------------------------
% 15.77/3.36 % (25181)------------------------------
% 15.77/3.37 % (25182)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_24928 for (2978ds/294Mi)
% 15.77/3.37 % (25183)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_24928 for (2978ds/187Mi)
% 16.34/3.43 % (25183)Instruction limit reached!
% 16.34/3.43 % (25183)------------------------------
% 16.34/3.43 % (25183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.34/3.43 % (25183)Termination reason: Unknown
% 16.34/3.43 % (25183)Termination phase: Saturation
% 16.34/3.43
% 16.34/3.43 % (25183)Memory used [KB]: 6780
% 16.34/3.43 % (25183)Time elapsed: 0.054 s
% 16.34/3.43 % (25183)Instructions burned: 190 (million)
% 16.34/3.43 % (25183)------------------------------
% 16.34/3.43 % (25183)------------------------------
% 16.34/3.44 % (25184)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_24928 for (2977ds/371Mi)
% 16.71/3.50 % (25182)Instruction limit reached!
% 16.71/3.50 % (25182)------------------------------
% 16.71/3.50 % (25182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.71/3.50 % (25182)Termination reason: Unknown
% 16.71/3.50 % (25182)Termination phase: Saturation
% 16.71/3.50
% 16.71/3.50 % (25182)Memory used [KB]: 6396
% 16.71/3.50 % (25182)Time elapsed: 0.128 s
% 16.71/3.50 % (25182)Instructions burned: 295 (million)
% 16.71/3.50 % (25182)------------------------------
% 16.71/3.50 % (25182)------------------------------
% 16.71/3.52 % (25185)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_24928 for (2976ds/1827Mi)
% 16.71/3.55 % (25184)Instruction limit reached!
% 16.71/3.55 % (25184)------------------------------
% 16.71/3.55 % (25184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.71/3.55 % (25184)Termination reason: Unknown
% 16.71/3.55 % (25184)Termination phase: Saturation
% 16.71/3.55
% 16.71/3.55 % (25184)Memory used [KB]: 6908
% 16.71/3.55 % (25184)Time elapsed: 0.116 s
% 16.71/3.55 % (25184)Instructions burned: 371 (million)
% 16.71/3.55 % (25184)------------------------------
% 16.71/3.55 % (25184)------------------------------
% 16.71/3.56 % (25186)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_24928 for (2976ds/70Mi)
% 16.71/3.58 % (25186)Instruction limit reached!
% 16.71/3.58 % (25186)------------------------------
% 16.71/3.58 % (25186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.71/3.58 % (25186)Termination reason: Unknown
% 16.71/3.58 % (25186)Termination phase: Saturation
% 16.71/3.58
% 16.71/3.58 % (25186)Memory used [KB]: 1279
% 16.71/3.58 % (25186)Time elapsed: 0.019 s
% 16.71/3.58 % (25186)Instructions burned: 70 (million)
% 16.71/3.58 % (25186)------------------------------
% 16.71/3.58 % (25186)------------------------------
% 16.71/3.58 % (25179)Instruction limit reached!
% 16.71/3.58 % (25179)------------------------------
% 16.71/3.58 % (25179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.71/3.58 % (25179)Termination reason: Unknown
% 16.71/3.58 % (25179)Termination phase: Saturation
% 16.71/3.58
% 16.71/3.58 % (25179)Memory used [KB]: 6780
% 16.71/3.58 % (25179)Time elapsed: 0.386 s
% 16.71/3.58 % (25179)Instructions burned: 833 (million)
% 16.71/3.58 % (25179)------------------------------
% 16.71/3.58 % (25179)------------------------------
% 16.71/3.59 % (25187)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_24928 for (2975ds/316Mi)
% 16.71/3.60 % (25188)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_24928 for (2975ds/932Mi)
% 17.70/3.62 % (25180)Instruction limit reached!
% 17.70/3.62 % (25180)------------------------------
% 17.70/3.62 % (25180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.70/3.62 % (25180)Termination reason: Unknown
% 17.70/3.62 % (25180)Termination phase: Saturation
% 17.70/3.62
% 17.70/3.62 % (25180)Memory used [KB]: 11385
% 17.70/3.62 % (25180)Time elapsed: 0.312 s
% 17.70/3.62 % (25180)Instructions burned: 669 (million)
% 17.70/3.62 % (25180)------------------------------
% 17.70/3.62 % (25180)------------------------------
% 17.70/3.65 % (25189)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_24928 for (2975ds/4714Mi)
% 18.33/3.71 % (25187)Instruction limit reached!
% 18.33/3.71 % (25187)------------------------------
% 18.33/3.71 % (25187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.33/3.71 % (25187)Termination reason: Unknown
% 18.33/3.71 % (25187)Termination phase: Saturation
% 18.33/3.71
% 18.33/3.71 % (25187)Memory used [KB]: 6140
% 18.33/3.71 % (25187)Time elapsed: 0.117 s
% 18.33/3.71 % (25187)Instructions burned: 318 (million)
% 18.33/3.71 % (25187)------------------------------
% 18.33/3.71 % (25187)------------------------------
% 18.33/3.72 % (25190)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_24928 for (2974ds/8250Mi)
% 19.06/3.99 % (25188)Instruction limit reached!
% 19.06/3.99 % (25188)------------------------------
% 19.06/3.99 % (25188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.06/3.99 % (25188)Termination reason: Unknown
% 19.06/3.99 % (25188)Termination phase: Saturation
% 19.06/3.99
% 19.06/3.99 % (25188)Memory used [KB]: 8699
% 19.06/3.99 % (25188)Time elapsed: 0.400 s
% 19.06/3.99 % (25188)Instructions burned: 932 (million)
% 19.06/3.99 % (25188)------------------------------
% 19.06/3.99 % (25188)------------------------------
% 19.06/4.01 % (25191)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_24928 for (2971ds/770Mi)
% 22.96/4.35 % (25191)Instruction limit reached!
% 22.96/4.35 % (25191)------------------------------
% 22.96/4.35 % (25191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.96/4.35 % (25191)Termination reason: Unknown
% 22.96/4.35 % (25191)Termination phase: Saturation
% 22.96/4.35
% 22.96/4.35 % (25191)Memory used [KB]: 7803
% 22.96/4.35 % (25191)Time elapsed: 0.338 s
% 22.96/4.35 % (25191)Instructions burned: 770 (million)
% 22.96/4.35 % (25191)------------------------------
% 22.96/4.35 % (25191)------------------------------
% 22.96/4.36 % (25192)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_24928 for (2968ds/794Mi)
% 22.96/4.37 % (25185)Instruction limit reached!
% 22.96/4.37 % (25185)------------------------------
% 22.96/4.37 % (25185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.96/4.37 % (25185)Termination reason: Unknown
% 22.96/4.37 % (25185)Termination phase: Saturation
% 22.96/4.37
% 22.96/4.37 % (25185)Memory used [KB]: 8059
% 22.96/4.37 % (25185)Time elapsed: 0.851 s
% 22.96/4.37 % (25185)Instructions burned: 1827 (million)
% 22.96/4.37 % (25185)------------------------------
% 22.96/4.37 % (25185)------------------------------
% 22.96/4.39 % (25193)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_24928 for (2968ds/464Mi)
% 23.60/4.42 % (25164)Instruction limit reached!
% 23.60/4.42 % (25164)------------------------------
% 23.60/4.42 % (25164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.60/4.42 % (25164)Termination reason: Unknown
% 23.60/4.42 % (25164)Termination phase: Saturation
% 23.60/4.42
% 23.60/4.42 % (25164)Memory used [KB]: 9978
% 23.60/4.42 % (25164)Time elapsed: 1.979 s
% 23.60/4.42 % (25164)Instructions burned: 4436 (million)
% 23.60/4.42 % (25164)------------------------------
% 23.60/4.42 % (25164)------------------------------
% 23.60/4.44 % (25194)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_24928 for (2967ds/1376Mi)
% 24.44/4.60 % (25169)Instruction limit reached!
% 24.44/4.60 % (25169)------------------------------
% 24.44/4.60 % (25169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.44/4.60 % (25169)Termination reason: Unknown
% 24.44/4.60 % (25169)Termination phase: Saturation
% 24.44/4.60
% 24.44/4.60 % (25169)Memory used [KB]: 12920
% 24.44/4.60 % (25169)Time elapsed: 1.980 s
% 24.44/4.60 % (25169)Instructions burned: 4350 (million)
% 24.44/4.60 % (25169)------------------------------
% 24.44/4.60 % (25169)------------------------------
% 24.44/4.61 % (25193)Instruction limit reached!
% 24.44/4.61 % (25193)------------------------------
% 24.44/4.61 % (25193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.44/4.61 % (25193)Termination reason: Unknown
% 24.44/4.61 % (25193)Termination phase: Saturation
% 24.44/4.61
% 24.44/4.61 % (25193)Memory used [KB]: 7164
% 24.44/4.61 % (25193)Time elapsed: 0.224 s
% 24.44/4.61 % (25193)Instructions burned: 464 (million)
% 24.44/4.61 % (25193)------------------------------
% 24.44/4.61 % (25193)------------------------------
% 24.44/4.62 % (25195)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_24928 for (2965ds/906Mi)
% 24.44/4.63 % (25196)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_24928 for (2965ds/434Mi)
% 24.44/4.67 % (25192)Instruction limit reached!
% 24.44/4.67 % (25192)------------------------------
% 24.44/4.67 % (25192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.44/4.67 % (25192)Termination reason: Unknown
% 24.44/4.67 % (25192)Termination phase: Saturation
% 24.44/4.67
% 24.44/4.67 % (25192)Memory used [KB]: 4605
% 24.44/4.67 % (25192)Time elapsed: 0.331 s
% 24.44/4.67 % (25192)Instructions burned: 795 (million)
% 24.44/4.67 % (25192)------------------------------
% 24.44/4.67 % (25192)------------------------------
% 24.44/4.68 % (25197)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_24928 for (2965ds/865Mi)
% 25.52/4.82 % (25196)Instruction limit reached!
% 25.52/4.82 % (25196)------------------------------
% 25.52/4.82 % (25196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.52/4.82 % (25196)Termination reason: Unknown
% 25.52/4.82 % (25196)Termination phase: Saturation
% 25.52/4.82
% 25.52/4.82 % (25196)Memory used [KB]: 7036
% 25.52/4.82 % (25196)Time elapsed: 0.198 s
% 25.52/4.82 % (25196)Instructions burned: 434 (million)
% 25.52/4.82 % (25196)------------------------------
% 25.52/4.82 % (25196)------------------------------
% 25.52/4.83 % (25167)Instruction limit reached!
% 25.52/4.83 % (25167)------------------------------
% 25.52/4.83 % (25167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.52/4.83 % (25167)Termination reason: Unknown
% 25.52/4.83 % (25167)Termination phase: Saturation
% 25.52/4.83
% 25.52/4.83 % (25167)Memory used [KB]: 16630
% 25.52/4.83 % (25167)Time elapsed: 2.346 s
% 25.52/4.83 % (25167)Instructions burned: 5206 (million)
% 25.52/4.83 % (25167)------------------------------
% 25.52/4.83 % (25167)------------------------------
% 25.52/4.85 % (25198)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_24928 for (2963ds/593Mi)
% 25.52/4.85 % (25199)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_24928 for (2963ds/443Mi)
% 25.97/5.01 % (25197)Instruction limit reached!
% 25.97/5.01 % (25197)------------------------------
% 25.97/5.01 % (25197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.97/5.01 % (25197)Termination reason: Unknown
% 25.97/5.01 % (25197)Termination phase: Saturation
% 25.97/5.01
% 25.97/5.01 % (25197)Memory used [KB]: 8571
% 25.97/5.01 % (25197)Time elapsed: 0.347 s
% 25.97/5.01 % (25197)Instructions burned: 865 (million)
% 25.97/5.01 % (25197)------------------------------
% 25.97/5.01 % (25197)------------------------------
% 25.97/5.02 % (25195)Instruction limit reached!
% 25.97/5.02 % (25195)------------------------------
% 25.97/5.02 % (25195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.97/5.02 % (25195)Termination reason: Unknown
% 25.97/5.02 % (25195)Termination phase: Saturation
% 25.97/5.02
% 25.97/5.02 % (25195)Memory used [KB]: 10362
% 25.97/5.02 % (25195)Time elapsed: 0.408 s
% 25.97/5.02 % (25195)Instructions burned: 906 (million)
% 25.97/5.02 % (25195)------------------------------
% 25.97/5.02 % (25195)------------------------------
% 25.97/5.02 % (25200)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_24928 for (2961ds/594Mi)
% 27.74/5.04 % (25201)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_24928 for (2961ds/327Mi)
% 27.74/5.05 % (25199)Instruction limit reached!
% 27.74/5.05 % (25199)------------------------------
% 27.74/5.05 % (25199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.74/5.05 % (25199)Termination reason: Unknown
% 27.74/5.05 % (25199)Termination phase: Saturation
% 27.74/5.05
% 27.74/5.05 % (25199)Memory used [KB]: 7164
% 27.74/5.05 % (25199)Time elapsed: 0.203 s
% 27.74/5.05 % (25199)Instructions burned: 443 (million)
% 27.74/5.05 % (25199)------------------------------
% 27.74/5.05 % (25199)------------------------------
% 27.74/5.08 % (25202)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_24928 for (2961ds/5411Mi)
% 27.74/5.10 % (25194)Instruction limit reached!
% 27.74/5.10 % (25194)------------------------------
% 27.74/5.10 % (25194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.74/5.10 % (25194)Termination reason: Unknown
% 27.74/5.10 % (25194)Termination phase: Saturation
% 27.74/5.10
% 27.74/5.10 % (25194)Memory used [KB]: 21748
% 27.74/5.10 % (25194)Time elapsed: 0.691 s
% 27.74/5.10 % (25194)Instructions burned: 1376 (million)
% 27.74/5.10 % (25194)------------------------------
% 27.74/5.10 % (25194)------------------------------
% 27.74/5.13 % (25203)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_24928 for (2960ds/1762Mi)
% 27.74/5.13 % (25201)Instruction limit reached!
% 27.74/5.13 % (25201)------------------------------
% 27.74/5.13 % (25201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.74/5.13 % (25201)Termination reason: Unknown
% 27.74/5.13 % (25201)Termination phase: Saturation
% 27.74/5.13
% 27.74/5.13 % (25201)Memory used [KB]: 6908
% 27.74/5.13 % (25201)Time elapsed: 0.114 s
% 27.74/5.13 % (25201)Instructions burned: 328 (million)
% 27.74/5.13 % (25201)------------------------------
% 27.74/5.13 % (25201)------------------------------
% 28.25/5.14 % (25204)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_24928 for (2960ds/96Mi)
% 28.25/5.14 % (25198)Instruction limit reached!
% 28.25/5.14 % (25198)------------------------------
% 28.25/5.14 % (25198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.25/5.14 % (25198)Termination reason: Unknown
% 28.25/5.14 % (25198)Termination phase: Saturation
% 28.25/5.14
% 28.25/5.14 % (25198)Memory used [KB]: 6908
% 28.25/5.14 % (25198)Time elapsed: 0.241 s
% 28.25/5.14 % (25198)Instructions burned: 593 (million)
% 28.25/5.14 % (25198)------------------------------
% 28.25/5.14 % (25198)------------------------------
% 28.25/5.16 % (25205)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_24928 for (2960ds/503Mi)
% 28.25/5.19 % (25204)Instruction limit reached!
% 28.25/5.19 % (25204)------------------------------
% 28.25/5.19 % (25204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.25/5.19 % (25204)Termination reason: Unknown
% 28.25/5.19 % (25204)Termination phase: Saturation
% 28.25/5.19
% 28.25/5.19 % (25204)Memory used [KB]: 6012
% 28.25/5.19 % (25204)Time elapsed: 0.040 s
% 28.25/5.19 % (25204)Instructions burned: 96 (million)
% 28.25/5.19 % (25204)------------------------------
% 28.25/5.19 % (25204)------------------------------
% 28.43/5.21 % (25206)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_24928 for (2959ds/90Mi)
% 28.43/5.25 % (25206)Instruction limit reached!
% 28.43/5.25 % (25206)------------------------------
% 28.43/5.25 % (25206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.43/5.25 % (25206)Termination reason: Unknown
% 28.43/5.25 % (25206)Termination phase: Saturation
% 28.43/5.25
% 28.43/5.25 % (25206)Memory used [KB]: 6140
% 28.43/5.25 % (25206)Time elapsed: 0.047 s
% 28.43/5.25 % (25206)Instructions burned: 90 (million)
% 28.43/5.25 % (25206)------------------------------
% 28.43/5.25 % (25206)------------------------------
% 28.43/5.27 % (25207)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_24928 for (2959ds/593Mi)
% 28.43/5.29 % (25200)Instruction limit reached!
% 28.43/5.29 % (25200)------------------------------
% 28.43/5.29 % (25200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.43/5.29 % (25200)Termination reason: Unknown
% 28.43/5.29 % (25200)Termination phase: Saturation
% 28.43/5.29
% 28.43/5.29 % (25200)Memory used [KB]: 6908
% 28.43/5.29 % (25200)Time elapsed: 0.285 s
% 28.43/5.29 % (25200)Instructions burned: 594 (million)
% 28.43/5.29 % (25200)------------------------------
% 28.43/5.29 % (25200)------------------------------
% 28.98/5.30 % (25208)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_24928 for (2958ds/1512Mi)
% 28.98/5.31 % (25205)Instruction limit reached!
% 28.98/5.31 % (25205)------------------------------
% 28.98/5.31 % (25205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.98/5.31 % (25205)Termination reason: Unknown
% 28.98/5.31 % (25205)Termination phase: Saturation
% 28.98/5.31
% 28.98/5.31 % (25205)Memory used [KB]: 7419
% 28.98/5.31 % (25205)Time elapsed: 0.142 s
% 28.98/5.31 % (25205)Instructions burned: 504 (million)
% 28.98/5.31 % (25205)------------------------------
% 28.98/5.31 % (25205)------------------------------
% 28.98/5.31 % (25209)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_24928 for (2958ds/569Mi)
% 28.98/5.36 % (25189)Instruction limit reached!
% 28.98/5.36 % (25189)------------------------------
% 28.98/5.36 % (25189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.98/5.36 % (25189)Termination reason: Unknown
% 28.98/5.36 % (25189)Termination phase: Saturation
% 28.98/5.36
% 28.98/5.36 % (25189)Memory used [KB]: 9978
% 28.98/5.36 % (25189)Time elapsed: 1.728 s
% 28.98/5.36 % (25189)Instructions burned: 4714 (million)
% 28.98/5.36 % (25189)------------------------------
% 28.98/5.36 % (25189)------------------------------
% 28.98/5.38 % (25210)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_24928 for (2958ds/501Mi)
% 29.31/5.48 % (25209)Instruction limit reached!
% 29.31/5.48 % (25209)------------------------------
% 29.31/5.48 % (25209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.31/5.48 % (25209)Termination reason: Unknown
% 29.31/5.48 % (25209)Termination phase: Saturation
% 29.31/5.48
% 29.31/5.48 % (25209)Memory used [KB]: 6396
% 29.31/5.48 % (25209)Time elapsed: 0.167 s
% 29.31/5.48 % (25209)Instructions burned: 569 (million)
% 29.31/5.48 % (25209)------------------------------
% 29.31/5.48 % (25209)------------------------------
% 29.31/5.49 % (25215)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_24928 for (2956ds/562Mi)
% 29.58/5.54 % (25207)Instruction limit reached!
% 29.58/5.54 % (25207)------------------------------
% 29.58/5.54 % (25207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.58/5.54 % (25207)Termination reason: Unknown
% 29.58/5.54 % (25207)Termination phase: Saturation
% 29.58/5.54
% 29.58/5.54 % (25207)Memory used [KB]: 8443
% 29.58/5.54 % (25207)Time elapsed: 0.273 s
% 29.58/5.54 % (25207)Instructions burned: 594 (million)
% 29.58/5.54 % (25207)------------------------------
% 29.58/5.54 % (25207)------------------------------
% 29.58/5.56 % (25219)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_24928 for (2956ds/406Mi)
% 29.96/5.61 % (25210)Instruction limit reached!
% 29.96/5.61 % (25210)------------------------------
% 29.96/5.61 % (25210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.96/5.61 % (25210)Termination reason: Unknown
% 29.96/5.61 % (25210)Termination phase: Saturation
% 29.96/5.61
% 29.96/5.61 % (25210)Memory used [KB]: 7675
% 29.96/5.61 % (25210)Time elapsed: 0.228 s
% 29.96/5.61 % (25210)Instructions burned: 502 (million)
% 29.96/5.61 % (25210)------------------------------
% 29.96/5.61 % (25210)------------------------------
% 29.96/5.63 % (25224)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_24928 for (2955ds/582Mi)
% 30.30/5.71 % (25215)Instruction limit reached!
% 30.30/5.71 % (25215)------------------------------
% 30.30/5.71 % (25215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.30/5.71 % (25215)Termination reason: Unknown
% 30.30/5.71 % (25215)Termination phase: Saturation
% 30.30/5.71
% 30.30/5.71 % (25215)Memory used [KB]: 7547
% 30.30/5.71 % (25215)Time elapsed: 0.202 s
% 30.30/5.71 % (25215)Instructions burned: 563 (million)
% 30.30/5.71 % (25215)------------------------------
% 30.30/5.71 % (25215)------------------------------
% 30.30/5.72 % (25232)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_24928 for (2954ds/456Mi)
% 30.30/5.75 % (25219)Instruction limit reached!
% 30.30/5.75 % (25219)------------------------------
% 30.30/5.75 % (25219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.30/5.75 % (25219)Termination reason: Unknown
% 30.30/5.75 % (25219)Termination phase: Saturation
% 30.30/5.75
% 30.30/5.75 % (25219)Memory used [KB]: 7164
% 30.30/5.75 % (25219)Time elapsed: 0.196 s
% 30.30/5.75 % (25219)Instructions burned: 408 (million)
% 30.30/5.75 % (25219)------------------------------
% 30.30/5.75 % (25219)------------------------------
% 30.30/5.77 % (25235)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_24928 for (2954ds/393Mi)
% 30.80/5.86 % (25203)Instruction limit reached!
% 30.80/5.86 % (25203)------------------------------
% 30.80/5.86 % (25203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.80/5.86 % (25203)Termination reason: Unknown
% 30.80/5.86 % (25203)Termination phase: Saturation
% 30.80/5.86
% 30.80/5.86 % (25203)Memory used [KB]: 6652
% 30.80/5.86 % (25203)Time elapsed: 0.729 s
% 30.80/5.86 % (25203)Instructions burned: 1763 (million)
% 30.80/5.86 % (25203)------------------------------
% 30.80/5.86 % (25203)------------------------------
% 30.80/5.87 % (25241)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_24928 for (2953ds/1335Mi)
% 30.80/5.88 % (25232)Instruction limit reached!
% 30.80/5.88 % (25232)------------------------------
% 30.80/5.88 % (25232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.80/5.88 % (25232)Termination reason: Unknown
% 30.80/5.88 % (25232)Termination phase: Saturation
% 30.80/5.88
% 30.80/5.88 % (25232)Memory used [KB]: 6780
% 30.80/5.88 % (25232)Time elapsed: 0.164 s
% 30.80/5.88 % (25232)Instructions burned: 456 (million)
% 30.80/5.88 % (25232)------------------------------
% 30.80/5.88 % (25232)------------------------------
% 30.80/5.88 % (25208)Instruction limit reached!
% 30.80/5.88 % (25208)------------------------------
% 30.80/5.88 % (25208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.80/5.88 % (25208)Termination reason: Unknown
% 30.80/5.88 % (25208)Termination phase: Saturation
% 30.80/5.88
% 30.80/5.88 % (25208)Memory used [KB]: 7675
% 30.80/5.88 % (25208)Time elapsed: 0.580 s
% 30.80/5.88 % (25208)Instructions burned: 1513 (million)
% 30.80/5.88 % (25208)------------------------------
% 30.80/5.88 % (25208)------------------------------
% 30.80/5.89 % (25244)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_24928 for (2952ds/3373Mi)
% 32.41/5.90 % (25245)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_24928 for (2952ds/474Mi)
% 32.41/5.91 % (25224)Instruction limit reached!
% 32.41/5.91 % (25224)------------------------------
% 32.41/5.91 % (25224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.41/5.91 % (25224)Termination reason: Unknown
% 32.41/5.91 % (25224)Termination phase: Saturation
% 32.41/5.91
% 32.41/5.91 % (25224)Memory used [KB]: 6268
% 32.41/5.91 % (25224)Time elapsed: 0.286 s
% 32.41/5.91 % (25224)Instructions burned: 583 (million)
% 32.41/5.91 % (25224)------------------------------
% 32.41/5.91 % (25224)------------------------------
% 32.41/5.93 % (25248)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_24928 for (2952ds/157Mi)
% 32.41/5.94 % (25235)Instruction limit reached!
% 32.41/5.94 % (25235)------------------------------
% 32.41/5.94 % (25235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.41/5.94 % (25235)Termination reason: Unknown
% 32.41/5.94 % (25235)Termination phase: Saturation
% 32.41/5.94
% 32.41/5.94 % (25235)Memory used [KB]: 6780
% 32.41/5.94 % (25235)Time elapsed: 0.175 s
% 32.41/5.94 % (25235)Instructions burned: 395 (million)
% 32.41/5.94 % (25235)------------------------------
% 32.41/5.94 % (25235)------------------------------
% 32.41/5.96 % (25252)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_24928 for (2952ds/590Mi)
% 32.41/6.00 % (25248)Instruction limit reached!
% 32.41/6.00 % (25248)------------------------------
% 32.41/6.00 % (25248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.41/6.00 % (25248)Termination reason: Unknown
% 32.41/6.00 % (25248)Termination phase: Saturation
% 32.41/6.00
% 32.41/6.00 % (25248)Memory used [KB]: 6140
% 32.41/6.00 % (25248)Time elapsed: 0.071 s
% 32.41/6.00 % (25248)Instructions burned: 158 (million)
% 32.41/6.00 % (25248)------------------------------
% 32.41/6.00 % (25248)------------------------------
% 34.45/6.01 % (25256)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_24928 for (2951ds/104Mi)
% 34.45/6.05 % (25256)Instruction limit reached!
% 34.45/6.05 % (25256)------------------------------
% 34.45/6.05 % (25256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.45/6.05 % (25256)Termination reason: Unknown
% 34.45/6.05 % (25256)Termination phase: Saturation
% 34.45/6.05
% 34.45/6.05 % (25256)Memory used [KB]: 6140
% 34.45/6.05 % (25256)Time elapsed: 0.041 s
% 34.45/6.05 % (25256)Instructions burned: 105 (million)
% 34.45/6.05 % (25256)------------------------------
% 34.45/6.05 % (25256)------------------------------
% 34.45/6.07 % (25245)Instruction limit reached!
% 34.45/6.07 % (25245)------------------------------
% 34.45/6.07 % (25245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.45/6.07 % (25245)Termination reason: Unknown
% 34.45/6.07 % (25245)Termination phase: Saturation
% 34.45/6.07
% 34.45/6.07 % (25245)Memory used [KB]: 6780
% 34.45/6.07 % (25245)Time elapsed: 0.172 s
% 34.45/6.07 % (25245)Instructions burned: 474 (million)
% 34.45/6.07 % (25245)------------------------------
% 34.45/6.07 % (25245)------------------------------
% 34.45/6.07 % (25260)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_24928 for (2951ds/414Mi)
% 34.45/6.08 % (25262)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_24928 for (2951ds/715Mi)
% 35.48/6.22 % (25252)Instruction limit reached!
% 35.48/6.22 % (25252)------------------------------
% 35.48/6.22 % (25252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.48/6.22 % (25252)Termination reason: Unknown
% 35.48/6.22 % (25252)Termination phase: Saturation
% 35.48/6.22
% 35.48/6.22 % (25252)Memory used [KB]: 7164
% 35.48/6.22 % (25252)Time elapsed: 0.280 s
% 35.48/6.22 % (25252)Instructions burned: 590 (million)
% 35.48/6.22 % (25252)------------------------------
% 35.48/6.22 % (25252)------------------------------
% 35.48/6.24 % (25274)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_24928 for (2949ds/961Mi)
% 35.48/6.26 % (25260)Instruction limit reached!
% 35.48/6.26 % (25260)------------------------------
% 35.48/6.26 % (25260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.48/6.26 % (25260)Termination reason: Unknown
% 35.48/6.26 % (25260)Termination phase: Saturation
% 35.48/6.26
% 35.48/6.26 % (25260)Memory used [KB]: 6780
% 35.48/6.26 % (25260)Time elapsed: 0.192 s
% 35.48/6.26 % (25260)Instructions burned: 415 (million)
% 35.48/6.26 % (25260)------------------------------
% 35.48/6.26 % (25260)------------------------------
% 35.48/6.28 % (25276)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_24928 for (2949ds/1213Mi)
% 35.48/6.29 % (25262)Instruction limit reached!
% 35.48/6.29 % (25262)------------------------------
% 35.48/6.29 % (25262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.48/6.29 % (25262)Termination reason: Unknown
% 35.48/6.29 % (25262)Termination phase: Saturation
% 35.48/6.29
% 35.48/6.29 % (25262)Memory used [KB]: 3454
% 35.48/6.29 % (25262)Time elapsed: 0.212 s
% 35.48/6.29 % (25262)Instructions burned: 716 (million)
% 35.48/6.29 % (25262)------------------------------
% 35.48/6.29 % (25262)------------------------------
% 36.35/6.30 % (25278)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_24928 for (2948ds/1979Mi)
% 37.15/6.51 % (25241)Instruction limit reached!
% 37.15/6.51 % (25241)------------------------------
% 37.15/6.51 % (25241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.15/6.51 % (25241)Termination reason: Unknown
% 37.15/6.51 % (25241)Termination phase: Saturation
% 37.15/6.51
% 37.15/6.51 % (25241)Memory used [KB]: 8571
% 37.15/6.51 % (25241)Time elapsed: 0.637 s
% 37.15/6.51 % (25241)Instructions burned: 1336 (million)
% 37.15/6.51 % (25241)------------------------------
% 37.15/6.51 % (25241)------------------------------
% 37.15/6.52 % (25299)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_24928 for (2946ds/481Mi)
% 37.47/6.67 % (25299)Instruction limit reached!
% 37.47/6.67 % (25299)------------------------------
% 37.47/6.67 % (25299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.47/6.67 % (25299)Termination reason: Unknown
% 37.47/6.67 % (25299)Termination phase: Saturation
% 37.47/6.67
% 37.47/6.67 % (25299)Memory used [KB]: 6524
% 37.47/6.67 % (25299)Time elapsed: 0.145 s
% 37.47/6.67 % (25299)Instructions burned: 481 (million)
% 37.47/6.67 % (25299)------------------------------
% 37.47/6.67 % (25299)------------------------------
% 37.47/6.68 % (25310)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_24928 for (2945ds/783Mi)
% 37.47/6.68 % (25274)Instruction limit reached!
% 37.47/6.68 % (25274)------------------------------
% 37.47/6.68 % (25274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.47/6.68 % (25274)Termination reason: Unknown
% 37.47/6.68 % (25274)Termination phase: Saturation
% 37.47/6.68
% 37.47/6.68 % (25274)Memory used [KB]: 6908
% 37.47/6.68 % (25274)Time elapsed: 0.441 s
% 37.47/6.68 % (25274)Instructions burned: 962 (million)
% 37.47/6.68 % (25274)------------------------------
% 37.47/6.68 % (25274)------------------------------
% 38.37/6.70 % (25311)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_24928 for (2944ds/432Mi)
% 38.67/6.86 % (25276)Instruction limit reached!
% 38.67/6.86 % (25276)------------------------------
% 38.67/6.86 % (25276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.67/6.86 % (25276)Termination reason: Unknown
% 38.67/6.86 % (25276)Termination phase: Saturation
% 38.67/6.86
% 38.67/6.86 % (25276)Memory used [KB]: 9083
% 38.67/6.86 % (25276)Time elapsed: 0.581 s
% 38.67/6.86 % (25276)Instructions burned: 1213 (million)
% 38.67/6.86 % (25276)------------------------------
% 38.67/6.86 % (25276)------------------------------
% 38.67/6.87 % (25318)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_24928 for (2943ds/1670Mi)
% 38.67/6.89 % (25311)Instruction limit reached!
% 38.67/6.89 % (25311)------------------------------
% 38.67/6.89 % (25311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.67/6.89 % (25311)Termination reason: Unknown
% 38.67/6.89 % (25311)Termination phase: Saturation
% 38.67/6.89
% 38.67/6.89 % (25311)Memory used [KB]: 7164
% 38.67/6.89 % (25311)Time elapsed: 0.198 s
% 38.67/6.89 % (25311)Instructions burned: 433 (million)
% 38.67/6.89 % (25311)------------------------------
% 38.67/6.89 % (25311)------------------------------
% 39.78/6.91 % (25323)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_24928 for (2942ds/90Mi)
% 39.78/6.94 % (25310)Instruction limit reached!
% 39.78/6.94 % (25310)------------------------------
% 39.78/6.94 % (25310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.78/6.94 % (25310)Termination reason: Unknown
% 39.78/6.94 % (25310)Termination phase: Saturation
% 39.78/6.94
% 39.78/6.94 % (25310)Memory used [KB]: 8315
% 39.78/6.94 % (25310)Time elapsed: 0.267 s
% 39.78/6.94 % (25310)Instructions burned: 783 (million)
% 39.78/6.94 % (25310)------------------------------
% 39.78/6.94 % (25310)------------------------------
% 39.78/6.95 % (25323)Instruction limit reached!
% 39.78/6.95 % (25323)------------------------------
% 39.78/6.95 % (25323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.78/6.95 % (25323)Termination reason: Unknown
% 39.78/6.95 % (25323)Termination phase: Saturation
% 39.78/6.95
% 39.78/6.95 % (25323)Memory used [KB]: 6140
% 39.78/6.95 % (25323)Time elapsed: 0.047 s
% 39.78/6.95 % (25323)Instructions burned: 91 (million)
% 39.78/6.95 % (25323)------------------------------
% 39.78/6.95 % (25323)------------------------------
% 39.78/6.97 % (25328)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_24928 for (2942ds/346Mi)
% 39.78/6.97 % (25329)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_24928 for (2942ds/401Mi)
% 41.54/7.06 % (25278)Instruction limit reached!
% 41.54/7.06 % (25278)------------------------------
% 41.54/7.06 % (25278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.54/7.06 % (25278)Termination reason: Unknown
% 41.54/7.06 % (25278)Termination phase: Saturation
% 41.54/7.06
% 41.54/7.06 % (25278)Memory used [KB]: 11257
% 41.54/7.06 % (25278)Time elapsed: 0.763 s
% 41.54/7.06 % (25278)Instructions burned: 1980 (million)
% 41.54/7.06 % (25278)------------------------------
% 41.54/7.06 % (25278)------------------------------
% 41.54/7.08 % (25330)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_24928 for (2941ds/6454Mi)
% 42.18/7.14 % (25328)Instruction limit reached!
% 42.18/7.14 % (25328)------------------------------
% 42.18/7.14 % (25328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.18/7.14 % (25328)Termination reason: Unknown
% 42.18/7.14 % (25328)Termination phase: Saturation
% 42.18/7.14
% 42.18/7.14 % (25328)Memory used [KB]: 6396
% 42.18/7.14 % (25328)Time elapsed: 0.191 s
% 42.18/7.14 % (25328)Instructions burned: 348 (million)
% 42.18/7.14 % (25328)------------------------------
% 42.18/7.14 % (25328)------------------------------
% 42.18/7.15 % (25329)Instruction limit reached!
% 42.18/7.15 % (25329)------------------------------
% 42.18/7.15 % (25329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.18/7.15 % (25329)Termination reason: Unknown
% 42.18/7.15 % (25329)Termination phase: Saturation
% 42.18/7.15
% 42.18/7.15 % (25329)Memory used [KB]: 6524
% 42.18/7.15 % (25329)Time elapsed: 0.181 s
% 42.18/7.15 % (25329)Instructions burned: 402 (million)
% 42.18/7.15 % (25329)------------------------------
% 42.18/7.15 % (25329)------------------------------
% 42.18/7.16 % (25331)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_24928 for (2940ds/283Mi)
% 42.18/7.17 % (25332)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_24928 for (2940ds/865Mi)
% 42.47/7.29 % (25331)Instruction limit reached!
% 42.47/7.29 % (25331)------------------------------
% 42.47/7.29 % (25331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.47/7.29 % (25331)Termination reason: Unknown
% 42.47/7.29 % (25331)Termination phase: Saturation
% 42.47/7.29
% 42.47/7.29 % (25331)Memory used [KB]: 6908
% 42.47/7.29 % (25331)Time elapsed: 0.130 s
% 42.47/7.29 % (25331)Instructions burned: 284 (million)
% 42.47/7.29 % (25331)------------------------------
% 42.47/7.29 % (25331)------------------------------
% 43.01/7.30 % (25338)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_24928 for (2938ds/4528Mi)
% 43.01/7.33 % (25190)Instruction limit reached!
% 43.01/7.33 % (25190)------------------------------
% 43.01/7.33 % (25190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.01/7.33 % (25190)Termination reason: Unknown
% 43.01/7.33 % (25190)Termination phase: Saturation
% 43.01/7.33
% 43.01/7.33 % (25190)Memory used [KB]: 12920
% 43.01/7.33 % (25190)Time elapsed: 3.621 s
% 43.01/7.33 % (25190)Instructions burned: 8251 (million)
% 43.01/7.33 % (25190)------------------------------
% 43.01/7.33 % (25190)------------------------------
% 43.01/7.34 % (25339)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_24928 for (2938ds/1001Mi)
% 43.36/7.40 % (25244)Instruction limit reached!
% 43.36/7.40 % (25244)------------------------------
% 43.36/7.40 % (25244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.36/7.40 % (25244)Termination reason: Unknown
% 43.36/7.40 % (25244)Termination phase: Saturation
% 43.36/7.40
% 43.36/7.40 % (25244)Memory used [KB]: 9338
% 43.36/7.40 % (25244)Time elapsed: 1.510 s
% 43.36/7.40 % (25244)Instructions burned: 3373 (million)
% 43.36/7.40 % (25244)------------------------------
% 43.36/7.40 % (25244)------------------------------
% 43.36/7.42 % (25340)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_24928 for (2937ds/102Mi)
% 43.36/7.47 % (25340)Instruction limit reached!
% 43.36/7.47 % (25340)------------------------------
% 43.36/7.47 % (25340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.36/7.47 % (25340)Termination reason: Unknown
% 43.36/7.47 % (25340)Termination phase: Saturation
% 43.36/7.47
% 43.36/7.47 % (25340)Memory used [KB]: 6140
% 43.36/7.47 % (25340)Time elapsed: 0.051 s
% 43.36/7.47 % (25340)Instructions burned: 102 (million)
% 43.36/7.47 % (25340)------------------------------
% 43.36/7.47 % (25340)------------------------------
% 43.36/7.48 % (25341)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_24928 for (2936ds/952Mi)
% 43.65/7.51 % (25202)Refutation not found, non-redundant clauses discarded% (25202)------------------------------
% 43.65/7.51 % (25202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.65/7.51 % (25202)Termination reason: Refutation not found, non-redundant clauses discarded
% 43.65/7.51
% 43.65/7.51 % (25202)Memory used [KB]: 12537
% 43.65/7.51 % (25202)Time elapsed: 2.434 s
% 43.65/7.51 % (25202)Instructions burned: 5393 (million)
% 43.65/7.51 % (25202)------------------------------
% 43.65/7.51 % (25202)------------------------------
% 43.65/7.54 % (25342)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_24928 for (2936ds/578Mi)
% 43.65/7.58 % (25318)Instruction limit reached!
% 43.65/7.58 % (25318)------------------------------
% 43.65/7.58 % (25318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.65/7.58 % (25318)Termination reason: Unknown
% 43.65/7.58 % (25318)Termination phase: Saturation
% 43.65/7.58
% 43.65/7.58 % (25318)Memory used [KB]: 6908
% 43.65/7.58 % (25318)Time elapsed: 0.707 s
% 43.65/7.58 % (25318)Instructions burned: 1670 (million)
% 43.65/7.58 % (25318)------------------------------
% 43.65/7.58 % (25318)------------------------------
% 43.65/7.59 % (25332)Instruction limit reached!
% 43.65/7.59 % (25332)------------------------------
% 43.65/7.59 % (25332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.65/7.59 % (25332)Termination reason: Unknown
% 43.65/7.59 % (25332)Termination phase: Saturation
% 43.65/7.59
% 43.65/7.59 % (25332)Memory used [KB]: 7675
% 43.65/7.59 % (25332)Time elapsed: 0.425 s
% 43.65/7.59 % (25332)Instructions burned: 866 (million)
% 43.65/7.59 % (25332)------------------------------
% 43.65/7.59 % (25332)------------------------------
% 43.65/7.59 % (25343)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_24928 for (2935ds/643Mi)
% 44.20/7.61 % (25344)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_24928 for (2935ds/865Mi)
% 44.20/7.63 % (25339)Instruction limit reached!
% 44.20/7.63 % (25339)------------------------------
% 44.20/7.63 % (25339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.20/7.63 % (25339)Termination reason: Unknown
% 44.20/7.63 % (25339)Termination phase: Saturation
% 44.20/7.63
% 44.20/7.63 % (25339)Memory used [KB]: 11001
% 44.20/7.63 % (25339)Time elapsed: 0.287 s
% 44.20/7.63 % (25339)Instructions burned: 1001 (million)
% 44.20/7.63 % (25339)------------------------------
% 44.20/7.63 % (25339)------------------------------
% 44.20/7.64 % (25345)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_24928 for (2935ds/1174Mi)
% 44.50/7.78 % (25342)Instruction limit reached!
% 44.50/7.78 % (25342)------------------------------
% 44.50/7.78 % (25342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.50/7.78 % (25342)Termination reason: Unknown
% 44.50/7.78 % (25342)Termination phase: Saturation
% 44.50/7.78
% 44.50/7.78 % (25342)Memory used [KB]: 7547
% 44.50/7.78 % (25342)Time elapsed: 0.246 s
% 44.50/7.78 % (25342)Instructions burned: 579 (million)
% 44.50/7.78 % (25342)------------------------------
% 44.50/7.78 % (25342)------------------------------
% 44.76/7.80 % (25352)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_24928 for (2933ds/644Mi)
% 44.76/7.89 % (25343)Instruction limit reached!
% 44.76/7.89 % (25343)------------------------------
% 44.76/7.89 % (25343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.76/7.89 % (25343)Termination reason: Unknown
% 44.76/7.89 % (25343)Termination phase: Saturation
% 44.76/7.89
% 44.76/7.89 % (25343)Memory used [KB]: 6524
% 44.76/7.89 % (25343)Time elapsed: 0.298 s
% 44.76/7.89 % (25343)Instructions burned: 644 (million)
% 44.76/7.89 % (25343)------------------------------
% 44.76/7.89 % (25343)------------------------------
% 44.76/7.89 % (25341)Instruction limit reached!
% 44.76/7.89 % (25341)------------------------------
% 44.76/7.89 % (25341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.76/7.89 % (25341)Termination reason: Unknown
% 44.76/7.89 % (25341)Termination phase: Saturation
% 44.76/7.89
% 44.76/7.89 % (25341)Memory used [KB]: 7291
% 44.76/7.89 % (25341)Time elapsed: 0.412 s
% 44.76/7.89 % (25341)Instructions burned: 953 (million)
% 44.76/7.89 % (25341)------------------------------
% 44.76/7.89 % (25341)------------------------------
% 45.49/7.91 % (25362)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_24928 for (2932ds/1201Mi)
% 45.49/7.92 % (25363)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_24928 for (2932ds/1046Mi)
% 45.49/7.99 % (25344)Instruction limit reached!
% 45.49/7.99 % (25344)------------------------------
% 45.49/7.99 % (25344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.49/7.99 % (25344)Termination reason: Unknown
% 45.49/7.99 % (25344)Termination phase: Saturation
% 45.49/7.99
% 45.49/7.99 % (25344)Memory used [KB]: 8443
% 45.49/7.99 % (25344)Time elapsed: 0.387 s
% 45.49/7.99 % (25344)Instructions burned: 865 (million)
% 45.49/7.99 % (25344)------------------------------
% 45.49/7.99 % (25344)------------------------------
% 45.49/8.01 % (25370)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_24928 for (2931ds/222Mi)
% 48.43/8.03 % (25345)Instruction limit reached!
% 48.43/8.03 % (25345)------------------------------
% 48.43/8.03 % (25345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.43/8.03 % (25345)Termination reason: Unknown
% 48.43/8.03 % (25345)Termination phase: Saturation
% 48.43/8.03
% 48.43/8.03 % (25345)Memory used [KB]: 7164
% 48.43/8.03 % (25345)Time elapsed: 0.377 s
% 48.43/8.03 % (25345)Instructions burned: 1174 (million)
% 48.43/8.03 % (25345)------------------------------
% 48.43/8.03 % (25345)------------------------------
% 48.43/8.04 % (25373)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_24928 for (2931ds/68Mi)
% 48.43/8.07 % (25373)Instruction limit reached!
% 48.43/8.07 % (25373)------------------------------
% 48.43/8.07 % (25373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.43/8.07 % (25373)Termination reason: Unknown
% 48.43/8.07 % (25373)Termination phase: Saturation
% 48.43/8.07
% 48.43/8.07 % (25373)Memory used [KB]: 6140
% 48.43/8.07 % (25373)Time elapsed: 0.030 s
% 48.43/8.07 % (25373)Instructions burned: 69 (million)
% 48.43/8.07 % (25373)------------------------------
% 48.43/8.07 % (25373)------------------------------
% 48.43/8.08 % (25370)Instruction limit reached!
% 48.43/8.08 % (25370)------------------------------
% 48.43/8.08 % (25370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.43/8.08 % (25370)Termination reason: Unknown
% 48.43/8.08 % (25370)Termination phase: Saturation
% 48.43/8.08
% 48.43/8.08 % (25370)Memory used [KB]: 6268
% 48.43/8.08 % (25370)Time elapsed: 0.071 s
% 48.43/8.08 % (25370)Instructions burned: 223 (million)
% 48.43/8.08 % (25370)------------------------------
% 48.43/8.08 % (25370)------------------------------
% 48.43/8.08 % (25377)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_24928 for (2931ds/454Mi)
% 48.43/8.09 % (25378)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_24928 for (2930ds/360Mi)
% 48.43/8.12 % (25352)Instruction limit reached!
% 48.43/8.12 % (25352)------------------------------
% 48.43/8.12 % (25352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.43/8.12 % (25352)Termination reason: Unknown
% 48.43/8.12 % (25352)Termination phase: Saturation
% 48.43/8.12
% 48.43/8.12 % (25352)Memory used [KB]: 7291
% 48.43/8.12 % (25352)Time elapsed: 0.319 s
% 48.43/8.12 % (25352)Instructions burned: 644 (million)
% 48.43/8.12 % (25352)------------------------------
% 48.43/8.12 % (25352)------------------------------
% 49.05/8.13 % (25383)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_24928 for (2930ds/157Mi)
% 49.36/8.20 % (25383)Instruction limit reached!
% 49.36/8.20 % (25383)------------------------------
% 49.36/8.20 % (25383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.36/8.20 % (25383)Termination reason: Unknown
% 49.36/8.21 % (25383)Termination phase: Saturation
% 49.36/8.21
% 49.36/8.21 % (25383)Memory used [KB]: 6268
% 49.36/8.21 % (25383)Time elapsed: 0.072 s
% 49.36/8.21 % (25383)Instructions burned: 159 (million)
% 49.36/8.21 % (25383)------------------------------
% 49.36/8.21 % (25383)------------------------------
% 49.36/8.22 % (25390)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_24928 for (2929ds/5061Mi)
% 49.36/8.23 % (25377)Instruction limit reached!
% 49.36/8.23 % (25377)------------------------------
% 49.36/8.23 % (25377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.36/8.23 % (25377)Termination reason: Unknown
% 49.36/8.23 % (25377)Termination phase: Saturation
% 49.36/8.23
% 49.36/8.23 % (25377)Memory used [KB]: 11257
% 49.36/8.23 % (25377)Time elapsed: 0.152 s
% 49.36/8.23 % (25377)Instructions burned: 456 (million)
% 49.36/8.23 % (25377)------------------------------
% 49.36/8.23 % (25377)------------------------------
% 49.36/8.25 % (25393)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_24928 for (2929ds/2401Mi)
% 49.36/8.26 % (25378)Instruction limit reached!
% 49.36/8.26 % (25378)------------------------------
% 49.36/8.26 % (25378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.36/8.26 % (25378)Termination reason: Unknown
% 49.36/8.26 % (25378)Termination phase: Saturation
% 49.36/8.26
% 49.36/8.26 % (25378)Memory used [KB]: 6396
% 49.36/8.26 % (25378)Time elapsed: 0.164 s
% 49.36/8.26 % (25378)Instructions burned: 361 (million)
% 49.36/8.26 % (25378)------------------------------
% 49.36/8.26 % (25378)------------------------------
% 49.36/8.27 % (25395)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_24928 for (2929ds/5798Mi)
% 50.18/8.33 % (25363)Instruction limit reached!
% 50.18/8.33 % (25363)------------------------------
% 50.18/8.33 % (25363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.18/8.33 % (25363)Termination reason: Unknown
% 50.18/8.33 % (25363)Termination phase: Saturation
% 50.18/8.33
% 50.18/8.33 % (25363)Memory used [KB]: 7164
% 50.18/8.33 % (25363)Time elapsed: 0.398 s
% 50.18/8.33 % (25363)Instructions burned: 1046 (million)
% 50.18/8.33 % (25363)------------------------------
% 50.18/8.33 % (25363)------------------------------
% 50.18/8.34 % (25400)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_24928 for (2928ds/346Mi)
% 50.51/8.46 % (25400)Instruction limit reached!
% 50.51/8.46 % (25400)------------------------------
% 50.51/8.46 % (25400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.51/8.46 % (25400)Termination reason: Unknown
% 50.51/8.46 % (25400)Termination phase: Saturation
% 50.51/8.46
% 50.51/8.46 % (25400)Memory used [KB]: 6396
% 50.51/8.46 % (25400)Time elapsed: 0.118 s
% 50.51/8.46 % (25400)Instructions burned: 346 (million)
% 50.51/8.46 % (25400)------------------------------
% 50.51/8.46 % (25400)------------------------------
% 50.51/8.47 % (25414)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_24928 for (2927ds/1321Mi)
% 50.51/8.48 % (25362)Instruction limit reached!
% 50.51/8.48 % (25362)------------------------------
% 50.51/8.48 % (25362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.51/8.48 % (25362)Termination reason: Unknown
% 50.51/8.48 % (25362)Termination phase: Saturation
% 50.51/8.48
% 50.51/8.48 % (25362)Memory used [KB]: 7547
% 50.51/8.48 % (25362)Time elapsed: 0.577 s
% 50.51/8.48 % (25362)Instructions burned: 1201 (million)
% 50.51/8.48 % (25362)------------------------------
% 50.51/8.48 % (25362)------------------------------
% 50.92/8.50 % (25416)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_24928 for (2926ds/1312Mi)
% 55.32/9.02 % (25414)Instruction limit reached!
% 55.32/9.02 % (25414)------------------------------
% 55.32/9.02 % (25414)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.32/9.02 % (25414)Termination reason: Unknown
% 55.32/9.02 % (25414)Termination phase: Saturation
% 55.32/9.02
% 55.32/9.02 % (25414)Memory used [KB]: 4349
% 55.32/9.02 % (25414)Time elapsed: 0.557 s
% 55.32/9.02 % (25414)Instructions burned: 1321 (million)
% 55.32/9.02 % (25414)------------------------------
% 55.32/9.02 % (25414)------------------------------
% 55.32/9.04 % (25436)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_24928 for (2921ds/672Mi)
% 55.32/9.06 % (25416)Instruction limit reached!
% 55.32/9.06 % (25416)------------------------------
% 55.32/9.06 % (25416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.32/9.06 % (25416)Termination reason: Unknown
% 55.32/9.06 % (25416)Termination phase: Saturation
% 55.32/9.06
% 55.32/9.06 % (25416)Memory used [KB]: 7291
% 55.32/9.06 % (25416)Time elapsed: 0.559 s
% 55.32/9.06 % (25416)Instructions burned: 1312 (million)
% 55.32/9.06 % (25416)------------------------------
% 55.32/9.06 % (25416)------------------------------
% 55.32/9.07 % (25439)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_24928 for (2921ds/1897Mi)
% 56.31/9.25 % (25393)Instruction limit reached!
% 56.31/9.25 % (25393)------------------------------
% 56.31/9.25 % (25393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.31/9.25 % (25393)Termination reason: Unknown
% 56.31/9.25 % (25393)Termination phase: Saturation
% 56.31/9.25
% 56.31/9.25 % (25393)Memory used [KB]: 10874
% 56.31/9.25 % (25393)Time elapsed: 1.003 s
% 56.31/9.25 % (25393)Instructions burned: 2401 (million)
% 56.31/9.25 % (25393)------------------------------
% 56.31/9.25 % (25393)------------------------------
% 56.31/9.27 % (25450)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_24928 for (2919ds/1202Mi)
% 56.78/9.33 % (25338)Instruction limit reached!
% 56.78/9.33 % (25338)------------------------------
% 56.78/9.33 % (25338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.78/9.33 % (25338)Termination reason: Unknown
% 56.78/9.33 % (25338)Termination phase: Saturation
% 56.78/9.33
% 56.78/9.33 % (25338)Memory used [KB]: 9210
% 56.78/9.33 % (25338)Time elapsed: 2.032 s
% 56.78/9.33 % (25338)Instructions burned: 4529 (million)
% 56.78/9.33 % (25338)------------------------------
% 56.78/9.33 % (25338)------------------------------
% 56.78/9.35 % (25456)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_24928 for (2918ds/1493Mi)
% 56.78/9.35 % (25436)Instruction limit reached!
% 56.78/9.35 % (25436)------------------------------
% 56.78/9.35 % (25436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.78/9.35 % (25436)Termination reason: Unknown
% 56.78/9.35 % (25436)Termination phase: Saturation
% 56.78/9.35
% 56.78/9.35 % (25436)Memory used [KB]: 8699
% 56.78/9.35 % (25436)Time elapsed: 0.315 s
% 56.78/9.35 % (25436)Instructions burned: 672 (million)
% 56.78/9.35 % (25436)------------------------------
% 56.78/9.35 % (25436)------------------------------
% 56.78/9.38 % (25457)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_24928 for (2918ds/7679Mi)
% 58.66/9.81 % (25450)Instruction limit reached!
% 58.66/9.81 % (25450)------------------------------
% 58.66/9.81 % (25450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.66/9.81 % (25450)Termination reason: Unknown
% 58.66/9.81 % (25450)Termination phase: Saturation
% 58.66/9.81
% 58.66/9.81 % (25450)Memory used [KB]: 4349
% 58.66/9.81 % (25450)Time elapsed: 0.560 s
% 58.66/9.81 % (25450)Instructions burned: 1202 (million)
% 58.66/9.81 % (25450)------------------------------
% 58.66/9.81 % (25450)------------------------------
% 58.66/9.83 % (25458)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_24928 for (2913ds/340Mi)
% 58.66/9.89 % (25439)Instruction limit reached!
% 58.66/9.89 % (25439)------------------------------
% 58.66/9.89 % (25439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.66/9.89 % (25439)Termination reason: Unknown
% 58.66/9.89 % (25439)Termination phase: Saturation
% 58.66/9.89
% 58.66/9.89 % (25439)Memory used [KB]: 8443
% 58.66/9.89 % (25439)Time elapsed: 0.818 s
% 58.66/9.89 % (25439)Instructions burned: 1897 (million)
% 58.66/9.89 % (25439)------------------------------
% 58.66/9.89 % (25439)------------------------------
% 60.32/9.90 % (25459)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_24928 for (2912ds/3672Mi)
% 60.32/9.93 % (25330)Refutation not found, non-redundant clauses discarded% (25330)------------------------------
% 60.32/9.93 % (25330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 60.32/9.93 % (25330)Termination reason: Refutation not found, non-redundant clauses discarded
% 60.32/9.93
% 60.32/9.93 % (25330)Memory used [KB]: 11385
% 60.32/9.93 % (25330)Time elapsed: 2.850 s
% 60.32/9.93 % (25330)Instructions burned: 6374 (million)
% 60.32/9.93 % (25330)------------------------------
% 60.32/9.93 % (25330)------------------------------
% 60.32/9.95 % (25460)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_24928 for (2912ds/1535Mi)
% 60.32/9.99 % (25456)Instruction limit reached!
% 60.32/9.99 % (25456)------------------------------
% 60.32/9.99 % (25456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 60.32/9.99 % (25456)Termination reason: Unknown
% 60.32/9.99 % (25456)Termination phase: Saturation
% 60.32/9.99
% 60.32/9.99 % (25456)Memory used [KB]: 7675
% 60.32/9.99 % (25456)Time elapsed: 0.639 s
% 60.32/9.99 % (25456)Instructions burned: 1494 (million)
% 60.32/9.99 % (25456)------------------------------
% 60.32/9.99 % (25456)------------------------------
% 60.32/9.99 % (25458)Instruction limit reached!
% 60.32/9.99 % (25458)------------------------------
% 60.32/9.99 % (25458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 60.32/9.99 % (25458)Termination reason: Unknown
% 60.32/9.99 % (25458)Termination phase: Saturation
% 60.32/9.99
% 60.32/9.99 % (25458)Memory used [KB]: 7419
% 60.32/9.99 % (25458)Time elapsed: 0.169 s
% 60.32/9.99 % (25458)Instructions burned: 341 (million)
% 60.32/9.99 % (25458)------------------------------
% 60.32/9.99 % (25458)------------------------------
% 60.32/10.01 % (25461)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_24928 for (2911ds/4637Mi)
% 60.32/10.01 % (25462)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_24928 for (2911ds/3174Mi)
% 64.13/10.37 % (25395)Instruction limit reached!
% 64.13/10.37 % (25395)------------------------------
% 64.13/10.37 % (25395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.13/10.37 % (25395)Termination reason: Unknown
% 64.13/10.37 % (25395)Termination phase: Saturation
% 64.13/10.37
% 64.13/10.37 % (25395)Memory used [KB]: 10362
% 64.13/10.37 % (25395)Time elapsed: 2.117 s
% 64.13/10.37 % (25395)Instructions burned: 5801 (million)
% 64.13/10.37 % (25395)------------------------------
% 64.13/10.37 % (25395)------------------------------
% 64.13/10.39 % (25486)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_24928 for (2908ds/307Mi)
% 64.83/10.42 % (25390)Instruction limit reached!
% 64.83/10.42 % (25390)------------------------------
% 64.83/10.42 % (25390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.83/10.42 % (25390)Termination reason: Unknown
% 64.83/10.42 % (25390)Termination phase: Saturation
% 64.83/10.42
% 64.83/10.42 % (25390)Memory used [KB]: 12025
% 64.83/10.42 % (25390)Time elapsed: 2.202 s
% 64.83/10.42 % (25390)Instructions burned: 5063 (million)
% 64.83/10.42 % (25390)------------------------------
% 64.83/10.42 % (25390)------------------------------
% 64.83/10.44 % (25491)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_24928 for (2907ds/3619Mi)
% 64.83/10.48 % (25486)Instruction limit reached!
% 64.83/10.48 % (25486)------------------------------
% 64.83/10.48 % (25486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.83/10.48 % (25486)Termination reason: Unknown
% 64.83/10.48 % (25486)Termination phase: Saturation
% 64.83/10.48
% 64.83/10.48 % (25486)Memory used [KB]: 6524
% 64.83/10.48 % (25486)Time elapsed: 0.114 s
% 64.83/10.48 % (25486)Instructions burned: 307 (million)
% 64.83/10.48 % (25486)------------------------------
% 64.83/10.48 % (25486)------------------------------
% 64.83/10.49 % (25497)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_24928 for (2907ds/2325Mi)
% 65.97/10.64 % (25460)Instruction limit reached!
% 65.97/10.64 % (25460)------------------------------
% 65.97/10.64 % (25460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.97/10.64 % (25460)Termination reason: Unknown
% 65.97/10.64 % (25460)Termination phase: Saturation
% 65.97/10.64
% 65.97/10.64 % (25460)Memory used [KB]: 8955
% 65.97/10.64 % (25460)Time elapsed: 0.696 s
% 65.97/10.64 % (25460)Instructions burned: 1535 (million)
% 65.97/10.64 % (25460)------------------------------
% 65.97/10.64 % (25460)------------------------------
% 65.97/10.66 % (25508)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_24928 for (2905ds/2341Mi)
% 70.40/11.25 % (25462)Instruction limit reached!
% 70.40/11.25 % (25462)------------------------------
% 70.40/11.25 % (25462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.40/11.25 % (25462)Termination reason: Unknown
% 70.40/11.25 % (25462)Termination phase: Saturation
% 70.40/11.25
% 70.40/11.25 % (25462)Memory used [KB]: 9338
% 70.40/11.25 % (25462)Time elapsed: 1.259 s
% 70.40/11.25 % (25462)Instructions burned: 3176 (million)
% 70.40/11.25 % (25462)------------------------------
% 70.40/11.25 % (25462)------------------------------
% 70.40/11.26 % (25523)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_24928 for (2899ds/7257Mi)
% 72.26/11.53 % (25459)Instruction limit reached!
% 72.26/11.53 % (25459)------------------------------
% 72.26/11.53 % (25459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.26/11.53 % (25459)Termination reason: Unknown
% 72.26/11.53 % (25459)Termination phase: Saturation
% 72.26/11.53
% 72.26/11.53 % (25459)Memory used [KB]: 10106
% 72.26/11.53 % (25459)Time elapsed: 1.636 s
% 72.26/11.53 % (25459)Instructions burned: 3672 (million)
% 72.26/11.53 % (25459)------------------------------
% 72.26/11.53 % (25459)------------------------------
% 72.26/11.55 % (25524)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_24928 for (2896ds/3710Mi)
% 72.26/11.56 % (25497)Instruction limit reached!
% 72.26/11.56 % (25497)------------------------------
% 72.26/11.56 % (25497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.26/11.56 % (25497)Termination reason: Unknown
% 72.26/11.56 % (25497)Termination phase: Saturation
% 72.26/11.56
% 72.26/11.56 % (25497)Memory used [KB]: 10362
% 72.26/11.56 % (25497)Time elapsed: 1.093 s
% 72.26/11.56 % (25497)Instructions burned: 2326 (million)
% 72.26/11.56 % (25497)------------------------------
% 72.26/11.56 % (25497)------------------------------
% 72.26/11.58 % (25525)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_24928 for (2896ds/326Mi)
% 72.78/11.66 % (25461)Instruction limit reached!
% 72.78/11.66 % (25461)------------------------------
% 72.78/11.66 % (25461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.78/11.66 % (25461)Termination reason: Unknown
% 72.78/11.66 % (25461)Termination phase: Saturation
% 72.78/11.66
% 72.78/11.66 % (25461)Memory used [KB]: 9083
% 72.78/11.66 % (25461)Time elapsed: 1.677 s
% 72.78/11.66 % (25461)Instructions burned: 4637 (million)
% 72.78/11.66 % (25461)------------------------------
% 72.78/11.66 % (25461)------------------------------
% 72.78/11.68 % (25526)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_24928 for (2895ds/1100Mi)
% 72.78/11.69 % (25508)Instruction limit reached!
% 72.78/11.69 % (25508)------------------------------
% 72.78/11.69 % (25508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.78/11.69 % (25508)Termination reason: Unknown
% 72.78/11.69 % (25508)Termination phase: Saturation
% 72.78/11.69
% 72.78/11.69 % (25508)Memory used [KB]: 9338
% 72.78/11.69 % (25508)Time elapsed: 1.028 s
% 72.78/11.69 % (25508)Instructions burned: 2341 (million)
% 72.78/11.69 % (25508)------------------------------
% 72.78/11.69 % (25508)------------------------------
% 73.15/11.71 % (25527)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_24928 for (2894ds/406Mi)
% 73.15/11.71 % (25525)Instruction limit reached!
% 73.15/11.71 % (25525)------------------------------
% 73.15/11.71 % (25525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 73.15/11.71 % (25525)Termination reason: Unknown
% 73.15/11.71 % (25525)Termination phase: Saturation
% 73.15/11.71
% 73.15/11.71 % (25525)Memory used [KB]: 7036
% 73.15/11.71 % (25525)Time elapsed: 0.131 s
% 73.15/11.71 % (25525)Instructions burned: 326 (million)
% 73.15/11.71 % (25525)------------------------------
% 73.15/11.71 % (25525)------------------------------
% 73.15/11.73 % (25528)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_24928 for (2894ds/1871Mi)
% 73.69/11.91 % (25527)Instruction limit reached!
% 73.69/11.91 % (25527)------------------------------
% 73.69/11.91 % (25527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 73.69/11.91 % (25527)Termination reason: Unknown
% 73.69/11.91 % (25527)Termination phase: Saturation
% 73.69/11.91
% 73.69/11.91 % (25527)Memory used [KB]: 7036
% 73.69/11.91 % (25527)Time elapsed: 0.205 s
% 73.69/11.91 % (25527)Instructions burned: 407 (million)
% 73.69/11.91 % (25527)------------------------------
% 73.69/11.91 % (25527)------------------------------
% 73.69/11.93 % (25529)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_24928 for (2892ds/1194Mi)
% 76.07/12.03 % (25491)Instruction limit reached!
% 76.07/12.03 % (25491)------------------------------
% 76.07/12.03 % (25491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.07/12.03 % (25491)Termination reason: Unknown
% 76.07/12.03 % (25491)Termination phase: Saturation
% 76.07/12.03
% 76.07/12.03 % (25491)Memory used [KB]: 11897
% 76.07/12.03 % (25491)Time elapsed: 1.612 s
% 76.07/12.03 % (25491)Instructions burned: 3619 (million)
% 76.07/12.03 % (25491)------------------------------
% 76.07/12.03 % (25491)------------------------------
% 76.07/12.05 % (25530)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_24928 for (2891ds/474Mi)
% 77.18/12.21 % (25526)Instruction limit reached!
% 77.18/12.21 % (25526)------------------------------
% 77.18/12.21 % (25526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.18/12.21 % (25526)Termination reason: Unknown
% 77.18/12.21 % (25526)Termination phase: Saturation
% 77.18/12.21
% 77.18/12.21 % (25526)Memory used [KB]: 7675
% 77.18/12.21 % (25526)Time elapsed: 0.546 s
% 77.18/12.21 % (25526)Instructions burned: 1101 (million)
% 77.18/12.21 % (25526)------------------------------
% 77.18/12.21 % (25526)------------------------------
% 77.18/12.23 % (25531)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_24928 for (2889ds/3115Mi)
% 77.18/12.26 % (25530)Instruction limit reached!
% 77.18/12.26 % (25530)------------------------------
% 77.18/12.26 % (25530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.18/12.26 % (25530)Termination reason: Unknown
% 77.18/12.26 % (25530)Termination phase: Saturation
% 77.18/12.26
% 77.18/12.26 % (25530)Memory used [KB]: 6524
% 77.18/12.26 % (25530)Time elapsed: 0.215 s
% 77.18/12.26 % (25530)Instructions burned: 475 (million)
% 77.18/12.26 % (25530)------------------------------
% 77.18/12.26 % (25530)------------------------------
% 77.18/12.27 % (25532)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_24928 for (2889ds/831Mi)
% 77.94/12.30 % (25457)Instruction limit reached!
% 77.94/12.30 % (25457)------------------------------
% 77.94/12.30 % (25457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.94/12.30 % (25457)Termination reason: Unknown
% 77.94/12.30 % (25457)Termination phase: Saturation
% 77.94/12.30
% 77.94/12.30 % (25457)Memory used [KB]: 10618
% 77.94/12.30 % (25457)Time elapsed: 2.938 s
% 77.94/12.30 % (25457)Instructions burned: 7680 (million)
% 77.94/12.30 % (25457)------------------------------
% 77.94/12.30 % (25457)------------------------------
% 77.94/12.31 % (25533)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_24928 for (2888ds/1188Mi)
% 78.35/12.49 % (25529)Instruction limit reached!
% 78.35/12.49 % (25529)------------------------------
% 78.35/12.49 % (25529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.35/12.49 % (25529)Termination reason: Unknown
% 78.35/12.49 % (25529)Termination phase: Saturation
% 78.35/12.49
% 78.35/12.49 % (25529)Memory used [KB]: 9083
% 78.35/12.49 % (25529)Time elapsed: 0.566 s
% 78.35/12.49 % (25529)Instructions burned: 1194 (million)
% 78.35/12.49 % (25529)------------------------------
% 78.35/12.49 % (25529)------------------------------
% 78.75/12.52 % (25534)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_24928 for (2886ds/2868Mi)
% 79.05/12.61 % (25528)Instruction limit reached!
% 79.05/12.61 % (25528)------------------------------
% 79.05/12.61 % (25528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.05/12.61 % (25528)Termination reason: Unknown
% 79.05/12.61 % (25528)Termination phase: Saturation
% 79.05/12.61
% 79.05/12.61 % (25528)Memory used [KB]: 9083
% 79.05/12.61 % (25528)Time elapsed: 0.889 s
% 79.05/12.61 % (25528)Instructions burned: 1871 (million)
% 79.05/12.61 % (25528)------------------------------
% 79.05/12.61 % (25528)------------------------------
% 79.05/12.63 % (25535)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_24928 for (2885ds/1516Mi)
% 79.05/12.66 % (25532)Instruction limit reached!
% 79.05/12.66 % (25532)------------------------------
% 79.05/12.66 % (25532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.05/12.66 % (25532)Termination reason: Unknown
% 79.05/12.66 % (25532)Termination phase: Saturation
% 79.05/12.66
% 79.05/12.66 % (25532)Memory used [KB]: 7291
% 79.05/12.66 % (25532)Time elapsed: 0.384 s
% 79.05/12.66 % (25532)Instructions burned: 832 (million)
% 79.05/12.66 % (25532)------------------------------
% 79.05/12.66 % (25532)------------------------------
% 79.05/12.67 % (25536)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_24928 for (2885ds/2321Mi)
% 79.67/12.72 % (25533)Instruction limit reached!
% 79.67/12.72 % (25533)------------------------------
% 79.67/12.72 % (25533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.67/12.72 % (25533)Termination reason: Unknown
% 79.67/12.72 % (25533)Termination phase: Saturation
% 79.67/12.72
% 79.67/12.72 % (25533)Memory used [KB]: 13816
% 79.67/12.72 % (25533)Time elapsed: 0.412 s
% 79.67/12.72 % (25533)Instructions burned: 1188 (million)
% 79.67/12.72 % (25533)------------------------------
% 79.67/12.72 % (25533)------------------------------
% 79.67/12.74 % (25537)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_24928 for (2884ds/2812Mi)
% 83.09/13.05 % (25524)Instruction limit reached!
% 83.09/13.05 % (25524)------------------------------
% 83.09/13.05 % (25524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.09/13.05 % (25524)Termination reason: Unknown
% 83.09/13.05 % (25524)Termination phase: Saturation
% 83.09/13.05
% 83.09/13.05 % (25524)Memory used [KB]: 15607
% 83.09/13.05 % (25524)Time elapsed: 1.502 s
% 83.09/13.05 % (25524)Instructions burned: 3711 (million)
% 83.09/13.05 % (25524)------------------------------
% 83.09/13.05 % (25524)------------------------------
% 83.09/13.08 % (25538)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_24928 for (2881ds/4604Mi)
% 84.74/13.32 % (25535)Instruction limit reached!
% 84.74/13.32 % (25535)------------------------------
% 84.74/13.32 % (25535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.74/13.32 % (25535)Termination reason: Unknown
% 84.74/13.32 % (25535)Termination phase: Saturation
% 84.74/13.32
% 84.74/13.32 % (25535)Memory used [KB]: 8443
% 84.74/13.32 % (25535)Time elapsed: 0.693 s
% 84.74/13.32 % (25535)Instructions burned: 1517 (million)
% 84.74/13.32 % (25535)------------------------------
% 84.74/13.32 % (25535)------------------------------
% 84.74/13.34 % (25539)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_24928 for (2878ds/2678Mi)
% 85.77/13.56 % (25531)Instruction limit reached!
% 85.77/13.56 % (25531)------------------------------
% 85.77/13.56 % (25531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.77/13.56 % (25531)Termination reason: Unknown
% 85.77/13.56 % (25531)Termination phase: Saturation
% 85.77/13.56
% 85.77/13.56 % (25531)Memory used [KB]: 11641
% 85.77/13.56 % (25531)Time elapsed: 1.331 s
% 85.77/13.56 % (25531)Instructions burned: 3118 (million)
% 85.77/13.56 % (25531)------------------------------
% 85.77/13.56 % (25531)------------------------------
% 85.77/13.57 % (25540)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_24928 for (2876ds/643Mi)
% 86.24/13.63 % (25534)Instruction limit reached!
% 86.24/13.63 % (25534)------------------------------
% 86.24/13.63 % (25534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.24/13.63 % (25534)Termination reason: Unknown
% 86.24/13.63 % (25534)Termination phase: Saturation
% 86.24/13.63
% 86.24/13.63 % (25534)Memory used [KB]: 11129
% 86.24/13.63 % (25534)Time elapsed: 1.136 s
% 86.24/13.63 % (25534)Instructions burned: 2870 (million)
% 86.24/13.63 % (25534)------------------------------
% 86.24/13.63 % (25534)------------------------------
% 86.24/13.65 % (25541)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_24928 for (2875ds/458Mi)
% 86.57/13.70 % (25536)Instruction limit reached!
% 86.57/13.70 % (25536)------------------------------
% 86.57/13.70 % (25536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.57/13.70 % (25536)Termination reason: Unknown
% 86.57/13.70 % (25536)Termination phase: Saturation
% 86.57/13.70
% 86.57/13.70 % (25536)Memory used [KB]: 7419
% 86.57/13.70 % (25536)Time elapsed: 1.029 s
% 86.57/13.70 % (25536)Instructions burned: 2321 (million)
% 86.57/13.70 % (25536)------------------------------
% 86.57/13.70 % (25536)------------------------------
% 86.57/13.72 % (25545)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_24928 for (2874ds/2546Mi)
% 86.80/13.85 % (25540)Instruction limit reached!
% 86.80/13.85 % (25540)------------------------------
% 86.80/13.85 % (25540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.80/13.85 % (25540)Termination reason: Unknown
% 86.80/13.85 % (25540)Termination phase: Saturation
% 86.80/13.85
% 86.80/13.85 % (25540)Memory used [KB]: 6524
% 86.80/13.85 % (25540)Time elapsed: 0.279 s
% 86.80/13.85 % (25540)Instructions burned: 644 (million)
% 86.80/13.85 % (25540)------------------------------
% 86.80/13.85 % (25540)------------------------------
% 86.80/13.86 % (25541)Instruction limit reached!
% 86.80/13.86 % (25541)------------------------------
% 86.80/13.86 % (25541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.80/13.86 % (25541)Termination reason: Unknown
% 86.80/13.86 % (25541)Termination phase: Saturation
% 86.80/13.86
% 86.80/13.86 % (25541)Memory used [KB]: 6268
% 86.80/13.86 % (25541)Time elapsed: 0.213 s
% 86.80/13.86 % (25541)Instructions burned: 459 (million)
% 86.80/13.86 % (25541)------------------------------
% 86.80/13.86 % (25541)------------------------------
% 86.80/13.86 % (25550)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_24928 for (2873ds/1432Mi)
% 86.80/13.88 % (25551)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_24928 for (2873ds/386Mi)
% 86.80/13.88 % (25537)Instruction limit reached!
% 86.80/13.88 % (25537)------------------------------
% 86.80/13.88 % (25537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.80/13.88 % (25537)Termination reason: Unknown
% 86.80/13.88 % (25537)Termination phase: Saturation
% 86.80/13.88
% 86.80/13.88 % (25537)Memory used [KB]: 9083
% 86.80/13.88 % (25537)Time elapsed: 1.138 s
% 86.80/13.88 % (25537)Instructions burned: 2813 (million)
% 86.80/13.88 % (25537)------------------------------
% 86.80/13.88 % (25537)------------------------------
% 87.50/13.90 % (25552)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_24928 for (2872ds/360Mi)
% 87.50/14.02 % (25551)Instruction limit reached!
% 87.50/14.02 % (25551)------------------------------
% 87.50/14.02 % (25551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.50/14.02 % (25551)Termination reason: Unknown
% 87.50/14.02 % (25551)Termination phase: Saturation
% 87.50/14.02
% 87.50/14.02 % (25551)Memory used [KB]: 6396
% 87.50/14.02 % (25551)Time elapsed: 0.120 s
% 87.50/14.02 % (25551)Instructions burned: 386 (million)
% 87.50/14.02 % (25551)------------------------------
% 87.50/14.02 % (25551)------------------------------
% 89.83/14.04 % (25553)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_24928 for (2871ds/5446Mi)
% 89.83/14.06 % (25552)Instruction limit reached!
% 89.83/14.06 % (25552)------------------------------
% 89.83/14.06 % (25552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 89.83/14.06 % (25552)Termination reason: Unknown
% 89.83/14.06 % (25552)Termination phase: Saturation
% 89.83/14.06
% 89.83/14.06 % (25552)Memory used [KB]: 6652
% 89.83/14.06 % (25552)Time elapsed: 0.162 s
% 89.83/14.06 % (25552)Instructions burned: 360 (million)
% 89.83/14.06 % (25552)------------------------------
% 89.83/14.06 % (25552)------------------------------
% 89.83/14.07 % (25554)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_24928 for (2871ds/2573Mi)
% 90.87/14.23 % (25523)Instruction limit reached!
% 90.87/14.23 % (25523)------------------------------
% 90.87/14.23 % (25523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.87/14.23 % (25523)Termination reason: Unknown
% 90.87/14.23 % (25523)Termination phase: Saturation
% 90.87/14.23
% 90.87/14.23 % (25523)Memory used [KB]: 16630
% 90.87/14.23 % (25523)Time elapsed: 2.964 s
% 90.87/14.23 % (25523)Instructions burned: 7258 (million)
% 90.87/14.23 % (25523)------------------------------
% 90.87/14.23 % (25523)------------------------------
% 90.87/14.25 % (25555)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_24928 for (2869ds/2655Mi)
% 90.87/14.26 % (25550)Instruction limit reached!
% 90.87/14.26 % (25550)------------------------------
% 90.87/14.26 % (25550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.87/14.26 % (25550)Termination reason: Unknown
% 90.87/14.26 % (25550)Termination phase: Saturation
% 90.87/14.26
% 90.87/14.26 % (25550)Memory used [KB]: 6908
% 90.87/14.26 % (25550)Time elapsed: 0.398 s
% 90.87/14.26 % (25550)Instructions burned: 1436 (million)
% 90.87/14.26 % (25550)------------------------------
% 90.87/14.26 % (25550)------------------------------
% 90.87/14.27 % (25556)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_24928 for (2869ds/2781Mi)
% 92.18/14.60 % (25539)Instruction limit reached!
% 92.18/14.60 % (25539)------------------------------
% 92.18/14.60 % (25539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.18/14.60 % (25539)Termination reason: Unknown
% 92.18/14.60 % (25539)Termination phase: Saturation
% 92.18/14.60
% 92.18/14.60 % (25539)Memory used [KB]: 7547
% 92.18/14.60 % (25539)Time elapsed: 1.259 s
% 92.18/14.60 % (25539)Instructions burned: 2680 (million)
% 92.18/14.60 % (25539)------------------------------
% 92.18/14.60 % (25539)------------------------------
% 92.18/14.61 % (25557)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_24928 for (2865ds/307Mi)
% 92.39/14.75 % (25557)Instruction limit reached!
% 92.39/14.75 % (25557)------------------------------
% 92.39/14.75 % (25557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.39/14.75 % (25557)Termination reason: Unknown
% 92.39/14.75 % (25557)Termination phase: Saturation
% 92.39/14.75
% 92.39/14.75 % (25557)Memory used [KB]: 6396
% 92.39/14.75 % (25557)Time elapsed: 0.142 s
% 92.39/14.75 % (25557)Instructions burned: 308 (million)
% 92.39/14.75 % (25557)------------------------------
% 92.39/14.75 % (25557)------------------------------
% 92.39/14.77 % (25558)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_24928 for (2864ds/1548Mi)
% 92.75/14.89 % (25554)Instruction limit reached!
% 92.75/14.89 % (25554)------------------------------
% 92.75/14.89 % (25554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.75/14.89 % (25554)Termination reason: Unknown
% 92.75/14.89 % (25554)Termination phase: Saturation
% 92.75/14.89
% 92.75/14.89 % (25554)Memory used [KB]: 11257
% 92.75/14.89 % (25554)Time elapsed: 0.814 s
% 92.75/14.89 % (25554)Instructions burned: 2575 (million)
% 92.75/14.89 % (25554)------------------------------
% 92.75/14.89 % (25554)------------------------------
% 93.78/14.90 % (25559)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_24928 for (2862ds/5214Mi)
% 93.78/14.92 % (25545)Instruction limit reached!
% 93.78/14.92 % (25545)------------------------------
% 93.78/14.92 % (25545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.78/14.92 % (25545)Termination reason: Unknown
% 93.78/14.92 % (25545)Termination phase: Saturation
% 93.78/14.92
% 93.78/14.92 % (25545)Memory used [KB]: 10234
% 93.78/14.92 % (25545)Time elapsed: 1.217 s
% 93.78/14.92 % (25545)Instructions burned: 2548 (million)
% 93.78/14.92 % (25545)------------------------------
% 93.78/14.92 % (25545)------------------------------
% 93.78/14.94 % (25560)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_24928 for (2862ds/3201Mi)
% 96.94/15.09 % (25538)Instruction limit reached!
% 96.94/15.09 % (25538)------------------------------
% 96.94/15.09 % (25538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 96.94/15.09 % (25538)Termination reason: Unknown
% 96.94/15.09 % (25538)Termination phase: Saturation
% 96.94/15.09
% 96.94/15.09 % (25538)Memory used [KB]: 15863
% 96.94/15.09 % (25538)Time elapsed: 2.043 s
% 96.94/15.09 % (25538)Instructions burned: 4605 (million)
% 96.94/15.09 % (25538)------------------------------
% 96.94/15.09 % (25538)------------------------------
% 96.94/15.11 % (25561)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_24928 for (2860ds/454Mi)
% 98.67/15.32 % (25561)Instruction limit reached!
% 98.67/15.32 % (25561)------------------------------
% 98.67/15.32 % (25561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.67/15.32 % (25561)Termination reason: Unknown
% 98.67/15.32 % (25561)Termination phase: Saturation
% 98.67/15.32
% 98.67/15.32 % (25561)Memory used [KB]: 11129
% 98.67/15.32 % (25561)Time elapsed: 0.211 s
% 98.67/15.32 % (25561)Instructions burned: 454 (million)
% 98.67/15.32 % (25561)------------------------------
% 98.67/15.32 % (25561)------------------------------
% 98.67/15.34 % (25562)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_24928 for (2858ds/3049Mi)
% 98.67/15.37 % (25555)Instruction limit reached!
% 98.67/15.37 % (25555)------------------------------
% 98.67/15.37 % (25555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.67/15.37 % (25555)Termination reason: Unknown
% 98.67/15.37 % (25555)Termination phase: Saturation
% 98.67/15.37
% 98.67/15.37 % (25555)Memory used [KB]: 18166
% 98.67/15.37 % (25555)Time elapsed: 1.126 s
% 98.67/15.37 % (25555)Instructions burned: 2658 (million)
% 98.67/15.37 % (25555)------------------------------
% 98.67/15.37 % (25555)------------------------------
% 98.67/15.38 % (25566)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_24928 for (2857ds/7311Mi)
% 99.46/15.40 % (25558)Instruction limit reached!
% 99.46/15.40 % (25558)------------------------------
% 99.46/15.40 % (25558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.46/15.40 % (25558)Termination reason: Unknown
% 99.46/15.40 % (25558)Termination phase: Saturation
% 99.46/15.40
% 99.46/15.40 % (25558)Memory used [KB]: 9210
% 99.46/15.40 % (25558)Time elapsed: 0.654 s
% 99.46/15.40 % (25558)Instructions burned: 1548 (million)
% 99.46/15.40 % (25558)------------------------------
% 99.46/15.40 % (25558)------------------------------
% 99.46/15.42 % (25568)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_24928 for (2857ds/6804Mi)
% 99.88/15.52 % (25556)Instruction limit reached!
% 99.88/15.52 % (25556)------------------------------
% 99.88/15.52 % (25556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.88/15.52 % (25556)Termination reason: Unknown
% 99.88/15.52 % (25556)Termination phase: Saturation
% 99.88/15.52
% 99.88/15.52 % (25556)Memory used [KB]: 3070
% 99.88/15.52 % (25556)Time elapsed: 1.249 s
% 99.88/15.52 % (25556)Instructions burned: 2781 (million)
% 99.88/15.52 % (25556)------------------------------
% 99.88/15.52 % (25556)------------------------------
% 99.88/15.53 % (25575)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_24928 for (2856ds/1683Mi)
% 105.82/16.33 % (25575)Instruction limit reached!
% 105.82/16.33 % (25575)------------------------------
% 105.82/16.33 % (25575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.82/16.33 % (25575)Termination reason: Unknown
% 105.82/16.33 % (25575)Termination phase: Saturation
% 105.82/16.33
% 105.82/16.33 % (25575)Memory used [KB]: 7803
% 105.82/16.33 % (25575)Time elapsed: 0.800 s
% 105.82/16.33 % (25575)Instructions burned: 1684 (million)
% 105.82/16.33 % (25575)------------------------------
% 105.82/16.33 % (25575)------------------------------
% 105.82/16.35 % (25593)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_24928 for (2848ds/4688Mi)
% 106.47/16.43 % (25560)Instruction limit reached!
% 106.47/16.43 % (25560)------------------------------
% 106.47/16.43 % (25560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 106.47/16.43 % (25560)Termination reason: Unknown
% 106.47/16.43 % (25560)Termination phase: Saturation
% 106.47/16.43
% 106.47/16.43 % (25560)Memory used [KB]: 12025
% 106.47/16.43 % (25560)Time elapsed: 1.521 s
% 106.47/16.43 % (25560)Instructions burned: 3201 (million)
% 106.47/16.43 % (25560)------------------------------
% 106.47/16.43 % (25560)------------------------------
% 106.47/16.46 % (25594)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_24928 for (2847ds/2207Mi)
% 106.99/16.56 % (25553)Instruction limit reached!
% 106.99/16.56 % (25553)------------------------------
% 106.99/16.56 % (25553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 106.99/16.56 % (25553)Termination reason: Unknown
% 106.99/16.56 % (25553)Termination phase: Saturation
% 106.99/16.56
% 106.99/16.56 % (25553)Memory used [KB]: 11001
% 106.99/16.56 % (25553)Time elapsed: 2.520 s
% 106.99/16.56 % (25553)Instructions burned: 5447 (million)
% 106.99/16.56 % (25553)------------------------------
% 106.99/16.56 % (25553)------------------------------
% 106.99/16.57 % (25559)Instruction limit reached!
% 106.99/16.57 % (25559)------------------------------
% 106.99/16.57 % (25559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 106.99/16.57 % (25559)Termination reason: Unknown
% 106.99/16.57 % (25559)Termination phase: Saturation
% 106.99/16.57
% 106.99/16.57 % (25559)Memory used [KB]: 14583
% 106.99/16.57 % (25559)Time elapsed: 1.678 s
% 106.99/16.57 % (25559)Instructions burned: 5214 (million)
% 106.99/16.57 % (25559)------------------------------
% 106.99/16.57 % (25559)------------------------------
% 106.99/16.58 % (25595)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=8216:si=on:rtra=on_0 on DTF2THF_24928 for (2846ds/8216Mi)
% 106.99/16.58 % (25596)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_24928 for (2845ds/430Mi)
% 107.44/16.67 % (25562)Instruction limit reached!
% 107.44/16.67 % (25562)------------------------------
% 107.44/16.67 % (25562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 107.44/16.67 % (25562)Termination reason: Unknown
% 107.44/16.67 % (25562)Termination phase: Saturation
% 107.44/16.67
% 107.44/16.67 % (25562)Memory used [KB]: 11257
% 107.44/16.67 % (25562)Time elapsed: 1.360 s
% 107.44/16.67 % (25562)Instructions burned: 3049 (million)
% 107.44/16.67 % (25562)------------------------------
% 107.44/16.67 % (25562)------------------------------
% 107.73/16.70 % (25597)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_24928 for (2844ds/2012Mi)
% 107.73/16.71 % (25596)Instruction limit reached!
% 107.73/16.71 % (25596)------------------------------
% 107.73/16.71 % (25596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 107.73/16.71 % (25596)Termination reason: Unknown
% 107.73/16.71 % (25596)Termination phase: Saturation
% 107.73/16.71
% 107.73/16.71 % (25596)Memory used [KB]: 6396
% 107.73/16.71 % (25596)Time elapsed: 0.126 s
% 107.73/16.71 % (25596)Instructions burned: 432 (million)
% 107.73/16.71 % (25596)------------------------------
% 107.73/16.71 % (25596)------------------------------
% 107.73/16.72 % (25598)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_24928 for (2844ds/631Mi)
% 108.28/16.91 % (25598)Instruction limit reached!
% 108.28/16.91 % (25598)------------------------------
% 108.28/16.91 % (25598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 108.28/16.91 % (25598)Termination reason: Unknown
% 108.28/16.91 % (25598)Termination phase: Saturation
% 108.28/16.91
% 108.28/16.91 % (25598)Memory used [KB]: 7164
% 108.28/16.91 % (25598)Time elapsed: 0.197 s
% 108.28/16.91 % (25598)Instructions burned: 632 (million)
% 108.28/16.91 % (25598)------------------------------
% 108.28/16.91 % (25598)------------------------------
% 108.28/16.92 % (25599)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_24928 for (2842ds/8785Mi)
% 113.45/17.47 % (25594)Instruction limit reached!
% 113.45/17.47 % (25594)------------------------------
% 113.45/17.47 % (25594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.45/17.47 % (25594)Termination reason: Unknown
% 113.45/17.47 % (25594)Termination phase: Saturation
% 113.45/17.47
% 113.45/17.47 % (25594)Memory used [KB]: 7931
% 113.45/17.47 % (25594)Time elapsed: 1.020 s
% 113.45/17.47 % (25594)Instructions burned: 2207 (million)
% 113.45/17.47 % (25594)------------------------------
% 113.45/17.47 % (25594)------------------------------
% 113.45/17.48 % (25601)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_24928 for (2837ds/739Mi)
% 114.11/17.59 % (25597)Instruction limit reached!
% 114.11/17.59 % (25597)------------------------------
% 114.11/17.59 % (25597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 114.11/17.59 % (25597)Termination reason: Unknown
% 114.11/17.59 % (25597)Termination phase: Saturation
% 114.11/17.59
% 114.11/17.59 % (25597)Memory used [KB]: 19701
% 114.11/17.59 % (25597)Time elapsed: 0.895 s
% 114.11/17.59 % (25597)Instructions burned: 2013 (million)
% 114.11/17.59 % (25597)------------------------------
% 114.11/17.59 % (25597)------------------------------
% 114.73/17.61 % (25602)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_24928 for (2835ds/5473Mi)
% 115.73/17.84 % (25601)Instruction limit reached!
% 115.73/17.84 % (25601)------------------------------
% 115.73/17.84 % (25601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 115.73/17.84 % (25601)Termination reason: Unknown
% 115.73/17.84 % (25601)Termination phase: Saturation
% 115.73/17.84
% 115.73/17.84 % (25601)Memory used [KB]: 7419
% 115.73/17.84 % (25601)Time elapsed: 0.362 s
% 115.73/17.84 % (25601)Instructions burned: 740 (million)
% 115.73/17.84 % (25601)------------------------------
% 115.73/17.84 % (25601)------------------------------
% 115.73/17.86 % (25603)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_24928 for (2833ds/43570Mi)
% 115.73/17.89 % (25593)Refutation not found, non-redundant clauses discarded% (25593)------------------------------
% 115.73/17.89 % (25593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 115.73/17.89 % (25593)Termination reason: Refutation not found, non-redundant clauses discarded
% 115.73/17.89
% 115.73/17.89 % (25593)Memory used [KB]: 2174
% 115.73/17.89 % (25593)Time elapsed: 1.544 s
% 115.73/17.89 % (25593)Instructions burned: 4148 (million)
% 115.73/17.89 % (25593)------------------------------
% 115.73/17.89 % (25593)------------------------------
% 116.61/17.92 % (25604)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_24928 for (2832ds/8382Mi)
% 117.75/18.07 % (25568)Refutation not found, non-redundant clauses discarded% (25568)------------------------------
% 117.75/18.07 % (25568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 117.75/18.07 % (25568)Termination reason: Refutation not found, non-redundant clauses discarded
% 117.75/18.07
% 117.75/18.07 % (25568)Memory used [KB]: 9722
% 117.75/18.07 % (25568)Time elapsed: 2.651 s
% 117.75/18.07 % (25568)Instructions burned: 5948 (million)
% 117.75/18.07 % (25568)------------------------------
% 117.75/18.07 % (25568)------------------------------
% 117.75/18.09 % (25605)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_24928 for (2831ds/407Mi)
% 118.85/18.28 % (25605)Instruction limit reached!
% 118.85/18.28 % (25605)------------------------------
% 118.85/18.28 % (25605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 118.85/18.28 % (25605)Termination reason: Unknown
% 118.85/18.28 % (25605)Termination phase: Saturation
% 118.85/18.28
% 118.85/18.28 % (25605)Memory used [KB]: 7291
% 118.85/18.28 % (25605)Time elapsed: 0.191 s
% 118.85/18.28 % (25605)Instructions burned: 408 (million)
% 118.85/18.28 % (25605)------------------------------
% 118.85/18.28 % (25605)------------------------------
% 118.85/18.29 % (25606)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_24928 for (2828ds/2971Mi)
% 119.64/18.40 % (25566)Refutation not found, non-redundant clauses discarded% (25566)------------------------------
% 119.64/18.40 % (25566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 119.64/18.40 % (25566)Termination reason: Refutation not found, non-redundant clauses discarded
% 119.64/18.40
% 119.64/18.40 % (25566)Memory used [KB]: 16630
% 119.64/18.40 % (25566)Time elapsed: 3.015 s
% 119.64/18.40 % (25566)Instructions burned: 7145 (million)
% 119.64/18.40 % (25566)------------------------------
% 119.64/18.40 % (25566)------------------------------
% 120.23/18.42 % (25607)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_24928 for (2827ds/9822Mi)
% 126.64/19.38 % (25602)Instruction limit reached!
% 126.64/19.38 % (25602)------------------------------
% 126.64/19.38 % (25602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 126.64/19.38 % (25602)Termination reason: Unknown
% 126.64/19.38 % (25602)Termination phase: Saturation
% 126.64/19.38
% 126.64/19.38 % (25602)Memory used [KB]: 17270
% 126.64/19.38 % (25602)Time elapsed: 1.767 s
% 126.64/19.38 % (25602)Instructions burned: 5475 (million)
% 126.64/19.38 % (25602)------------------------------
% 126.64/19.38 % (25602)------------------------------
% 126.64/19.40 % (25664)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_24928 for (2817ds/8425Mi)
% 127.94/19.58 % (25606)Instruction limit reached!
% 127.94/19.58 % (25606)------------------------------
% 127.94/19.58 % (25606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 127.94/19.58 % (25606)Termination reason: Unknown
% 127.94/19.58 % (25606)Termination phase: Saturation
% 127.94/19.58
% 127.94/19.58 % (25606)Memory used [KB]: 10874
% 127.94/19.58 % (25606)Time elapsed: 1.287 s
% 127.94/19.58 % (25606)Instructions burned: 2973 (million)
% 127.94/19.58 % (25606)------------------------------
% 127.94/19.58 % (25606)------------------------------
% 127.94/19.60 % (25665)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_24928 for (2815ds/3107Mi)
% 129.53/19.87 % (25595)Instruction limit reached!
% 129.53/19.87 % (25595)------------------------------
% 129.53/19.87 % (25595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.53/19.87 % (25595)Termination reason: Unknown
% 129.53/19.87 % (25595)Termination phase: Saturation
% 129.53/19.87
% 129.53/19.87 % (25595)Memory used [KB]: 13560
% 129.53/19.87 % (25595)Time elapsed: 3.301 s
% 129.53/19.87 % (25595)Instructions burned: 8217 (million)
% 129.53/19.87 % (25595)------------------------------
% 129.53/19.87 % (25595)------------------------------
% 129.53/19.89 % (25666)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_24928 for (2812ds/7967Mi)
% 135.72/20.67 % (25599)Instruction limit reached!
% 135.72/20.67 % (25599)------------------------------
% 135.72/20.67 % (25599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 135.72/20.67 % (25599)Termination reason: Unknown
% 135.72/20.67 % (25599)Termination phase: Saturation
% 135.72/20.67
% 135.72/20.67 % (25599)Memory used [KB]: 17014
% 135.72/20.67 % (25599)Time elapsed: 3.753 s
% 135.72/20.67 % (25599)Instructions burned: 8785 (million)
% 135.72/20.67 % (25599)------------------------------
% 135.72/20.67 % (25599)------------------------------
% 135.72/20.69 % (25667)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_24928 for (2804ds/3629Mi)
% 138.72/21.05 % (25665)Instruction limit reached!
% 138.72/21.05 % (25665)------------------------------
% 138.72/21.05 % (25665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 138.72/21.05 % (25665)Termination reason: Unknown
% 138.72/21.05 % (25665)Termination phase: Saturation
% 138.72/21.05
% 138.72/21.05 % (25665)Memory used [KB]: 10362
% 138.72/21.05 % (25665)Time elapsed: 1.459 s
% 138.72/21.05 % (25665)Instructions burned: 3107 (million)
% 138.72/21.05 % (25665)------------------------------
% 138.72/21.05 % (25665)------------------------------
% 138.72/21.07 % (25668)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on DTF2THF_24928 for (2801ds/939Mi)
% 140.98/21.50 % (25668)Instruction limit reached!
% 140.98/21.50 % (25668)------------------------------
% 140.98/21.50 % (25668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 140.98/21.50 % (25668)Termination reason: Unknown
% 141.58/21.50 % (25668)Termination phase: Saturation
% 141.58/21.50
% 141.58/21.50 % (25668)Memory used [KB]: 7419
% 141.58/21.50 % (25668)Time elapsed: 0.428 s
% 141.58/21.50 % (25668)Instructions burned: 940 (million)
% 141.58/21.50 % (25668)------------------------------
% 141.58/21.50 % (25668)------------------------------
% 141.58/21.51 % (25669)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_24928 for (2796ds/1188Mi)
% 142.62/21.65 % (25604)Instruction limit reached!
% 142.62/21.65 % (25604)------------------------------
% 142.62/21.65 % (25604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.62/21.65 % (25604)Termination reason: Unknown
% 142.62/21.65 % (25604)Termination phase: Saturation
% 142.62/21.65
% 142.62/21.65 % (25604)Memory used [KB]: 13688
% 142.62/21.65 % (25604)Time elapsed: 3.754 s
% 142.62/21.65 % (25604)Instructions burned: 8384 (million)
% 142.62/21.65 % (25604)------------------------------
% 142.62/21.65 % (25604)------------------------------
% 142.62/21.66 % (25670)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on DTF2THF_24928 for (2795ds/3205Mi)
% 145.71/22.04 % (25669)Instruction limit reached!
% 145.71/22.04 % (25669)------------------------------
% 145.71/22.04 % (25669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 145.71/22.04 % (25669)Termination reason: Unknown
% 145.71/22.04 % (25669)Termination phase: Saturation
% 145.71/22.04
% 145.71/22.04 % (25669)Memory used [KB]: 13816
% 145.71/22.04 % (25669)Time elapsed: 0.527 s
% 145.71/22.04 % (25669)Instructions burned: 1188 (million)
% 145.71/22.04 % (25669)------------------------------
% 145.71/22.04 % (25669)------------------------------
% 145.71/22.06 % (25671)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_24928 for (2791ds/865Mi)
% 146.77/22.24 % (25667)Instruction limit reached!
% 146.77/22.24 % (25667)------------------------------
% 146.77/22.24 % (25667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 146.77/22.24 % (25667)Termination reason: Unknown
% 146.77/22.24 % (25667)Termination phase: Saturation
% 146.77/22.24
% 146.77/22.24 % (25667)Memory used [KB]: 13560
% 146.77/22.24 % (25667)Time elapsed: 1.546 s
% 146.77/22.24 % (25667)Instructions burned: 3629 (million)
% 146.77/22.24 % (25667)------------------------------
% 146.77/22.24 % (25667)------------------------------
% 146.77/22.26 % (25672)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on DTF2THF_24928 for (2789ds/7469Mi)
% 147.33/22.39 % (25671)Instruction limit reached!
% 147.33/22.39 % (25671)------------------------------
% 147.33/22.39 % (25671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 147.33/22.39 % (25671)Termination reason: Unknown
% 147.33/22.39 % (25671)Termination phase: Saturation
% 147.33/22.39
% 147.33/22.39 % (25671)Memory used [KB]: 8699
% 147.33/22.39 % (25671)Time elapsed: 0.332 s
% 147.33/22.39 % (25671)Instructions burned: 865 (million)
% 147.33/22.39 % (25671)------------------------------
% 147.33/22.39 % (25671)------------------------------
% 148.17/22.42 % (25673)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on DTF2THF_24928 for (2787ds/4165Mi)
% 148.17/22.48 % (25607)Refutation not found, non-redundant clauses discarded% (25607)------------------------------
% 148.17/22.48 % (25607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 148.17/22.48 % (25607)Termination reason: Refutation not found, non-redundant clauses discarded
% 148.17/22.48
% 148.17/22.48 % (25607)Memory used [KB]: 18677
% 148.17/22.48 % (25607)Time elapsed: 4.059 s
% 148.17/22.48 % (25607)Instructions burned: 9729 (million)
% 148.17/22.48 % (25607)------------------------------
% 148.17/22.48 % (25607)------------------------------
% 148.17/22.49 % (25674)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on DTF2THF_24928 for (2786ds/13468Mi)
% 149.89/22.86 % (25670)Instruction limit reached!
% 149.89/22.86 % (25670)------------------------------
% 149.89/22.86 % (25670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 149.89/22.86 % (25670)Termination reason: Unknown
% 149.89/22.86 % (25670)Termination phase: Saturation
% 149.89/22.86
% 149.89/22.86 % (25670)Memory used [KB]: 11641
% 149.89/22.86 % (25670)Time elapsed: 1.198 s
% 149.89/22.86 % (25670)Instructions burned: 3206 (million)
% 149.89/22.86 % (25670)------------------------------
% 149.89/22.86 % (25670)------------------------------
% 149.89/22.88 % (25694)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on DTF2THF_24928 for (2783ds/2635Mi)
% 152.61/23.04 % (25664)Instruction limit reached!
% 152.61/23.04 % (25664)------------------------------
% 152.61/23.04 % (25664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 152.61/23.04 % (25664)Termination reason: Unknown
% 152.61/23.04 % (25664)Termination phase: Saturation
% 152.61/23.04
% 152.61/23.04 % (25664)Memory used [KB]: 8187
% 152.61/23.04 % (25664)Time elapsed: 3.649 s
% 152.61/23.04 % (25664)Instructions burned: 8426 (million)
% 152.61/23.04 % (25664)------------------------------
% 152.61/23.04 % (25664)------------------------------
% 152.61/23.06 % (25704)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on DTF2THF_24928 for (2781ds/631Mi)
% 153.74/23.20 % (25666)Instruction limit reached!
% 153.74/23.20 % (25666)------------------------------
% 153.74/23.20 % (25666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 153.74/23.20 % (25666)Termination reason: Unknown
% 153.74/23.20 % (25666)Termination phase: Saturation
% 153.74/23.20
% 153.74/23.20 % (25666)Memory used [KB]: 11897
% 153.74/23.20 % (25666)Time elapsed: 3.314 s
% 153.74/23.20 % (25666)Instructions burned: 7968 (million)
% 153.74/23.20 % (25666)------------------------------
% 153.74/23.20 % (25666)------------------------------
% 153.74/23.22 % (25706)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on DTF2THF_24928 for (2779ds/15557Mi)
% 154.27/23.35 % (25704)Instruction limit reached!
% 154.27/23.35 % (25704)------------------------------
% 154.27/23.35 % (25704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 154.27/23.35 % (25704)Termination reason: Unknown
% 154.27/23.35 % (25704)Termination phase: Saturation
% 154.27/23.35
% 154.27/23.35 % (25704)Memory used [KB]: 6524
% 154.27/23.35 % (25704)Time elapsed: 0.291 s
% 154.27/23.35 % (25704)Instructions burned: 632 (million)
% 154.27/23.35 % (25704)------------------------------
% 154.27/23.35 % (25704)------------------------------
% 154.27/23.37 % (25707)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on DTF2THF_24928 for (2778ds/2142Mi)
% 157.07/23.81 % (25694)First to succeed.
% 157.07/23.82 % (25694)Refutation found. Thanks to Tanya!
% 157.07/23.82 % SZS status Theorem for DTF2THF_24928
% 157.07/23.82 % SZS output start Proof for DTF2THF_24928
% 157.07/23.82 thf(type_def_5, type, b: $tType).
% 157.07/23.82 thf(type_def_7, type, c: $tType).
% 157.07/23.82 thf(func_def_0, type, b: $tType).
% 157.07/23.82 thf(func_def_1, type, c: $tType).
% 157.07/23.82 thf(func_def_2, type, cP: b > b > b).
% 157.07/23.82 thf(func_def_3, type, c0: b).
% 157.07/23.82 thf(func_def_7, type, sP0: b > b > b > (b > b > b > $o) > $o).
% 157.07/23.82 thf(func_def_8, type, sP1: b > b > b > (b > b > b > $o) > $o).
% 157.07/23.82 thf(func_def_9, type, sP2: c > ((c > b > $o) > $o) > $o).
% 157.07/23.82 thf(func_def_10, type, sP3: ((c > b > $o) > $o) > c > $o).
% 157.07/23.82 thf(func_def_11, type, sK4: ((c > b > $o) > $o) > c > b).
% 157.07/23.82 thf(func_def_12, type, sK5: ((c > b > $o) > $o) > c > b).
% 157.07/23.82 thf(func_def_13, type, sK6: ((c > b > $o) > $o) > c > c > b > $o).
% 157.07/23.82 thf(func_def_14, type, sK7: (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_15, type, sK8: (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_16, type, sK9: (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_17, type, sK10: c > ((c > b > $o) > $o) > b).
% 157.07/23.82 thf(func_def_18, type, sK11: c > ((c > b > $o) > $o) > b).
% 157.07/23.82 thf(func_def_19, type, sK12: c > ((c > b > $o) > $o) > b).
% 157.07/23.82 thf(func_def_20, type, sK13: (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_21, type, sK14: (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_22, type, sK15: (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_23, type, sK16: c > ((c > b > $o) > $o) > c > b > $o).
% 157.07/23.82 thf(func_def_24, type, sK17: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_25, type, sK18: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_26, type, sK19: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_27, type, sK20: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_28, type, sK21: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_29, type, sK22: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_30, type, sK23: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_31, type, sK24: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_32, type, sK25: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_33, type, sK26: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_34, type, sK27: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_35, type, sK28: b > b > b > (b > b > b > $o) > b).
% 157.07/23.82 thf(func_def_36, type, sK29: (c > b > $o) > $o).
% 157.07/23.82 thf(func_def_37, type, sK30: c).
% 157.07/23.82 thf(func_def_38, type, sK31: c > b > $o).
% 157.07/23.82 thf(func_def_39, type, sK32: b > b > b > b > b > $o).
% 157.07/23.82 thf(func_def_40, type, sK33: b > b > b > b > b > b > $o).
% 157.07/23.82 thf(func_def_42, type, ph35: !>[X0: $tType]:(X0)).
% 157.07/23.82 thf(f2475,plain,(
% 157.07/23.82 $false),
% 157.07/23.82 inference(avatar_sat_refutation,[status(thm)],[f105,f110,f170,f355,f373,f410,f454,f455,f465,f510,f511,f560,f667,f676,f677,f713,f716,f723,f843,f854,f860,f914,f915,f1524,f1556,f1614,f1625,f1639,f1831,f1841,f2164,f2258,f2367,f2445,f2474])).
% 157.07/23.82 thf(f2474,plain,(
% 157.07/23.82 spl34_32 | ~spl34_37 | ~spl34_39 | ~spl34_52 | ~spl34_121),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f2473,f2379,f591,f458,f447,f426])).
% 157.07/23.82 thf(f426,definition,(
% 157.07/23.82 spl34_32 <=> ! [X0 : c,X1 : (c > b > $o) > $o] : (((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) | ((sP2 @ X0 @ X1) != $true))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_32])],[avatar_definition])).
% 157.07/23.82 thf(f447,definition,(
% 157.07/23.82 spl34_37 <=> (c0 = (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_37])],[avatar_definition])).
% 157.07/23.82 thf(f458,definition,(
% 157.07/23.82 spl34_39 <=> (c0 = (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_39])],[avatar_definition])).
% 157.07/23.82 thf(f591,definition,(
% 157.07/23.82 spl34_52 <=> ($true = (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ c0 @ c0 @ c0))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_52])],[avatar_definition])).
% 157.07/23.82 thf(f2379,definition,(
% 157.07/23.82 spl34_121 <=> (c0 = (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_121])],[avatar_definition])).
% 157.07/23.82 thf(f2473,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sP2 @ X0 @ X1) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true)) ) | (~spl34_37 | ~spl34_39 | ~spl34_52 | ~spl34_121)),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f2472])).
% 157.07/23.82 thf(f2472,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) | ((sP2 @ X0 @ X1) != $true) | ($true != $true)) ) | (~spl34_37 | ~spl34_39 | ~spl34_52 | ~spl34_121)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f2471,f592])).
% 157.07/23.82 thf(f592,plain,(
% 157.07/23.82 ($true = (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ c0 @ c0 @ c0)) | ~spl34_52),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f591])).
% 157.07/23.82 thf(f2471,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (($true != (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ c0 @ c0 @ c0)) | ((sP2 @ X0 @ X1) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true)) ) | (~spl34_37 | ~spl34_39 | ~spl34_121)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f2470,f460])).
% 157.07/23.82 thf(f460,plain,(
% 157.07/23.82 (c0 = (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ~spl34_39),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f458])).
% 157.07/23.82 thf(f2470,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sP2 @ X0 @ X1) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ c0 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0) != $true)) ) | (~spl34_37 | ~spl34_121)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f2452,f449])).
% 157.07/23.82 thf(f449,plain,(
% 157.07/23.82 (c0 = (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ~spl34_37),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f447])).
% 157.07/23.82 thf(f2452,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sP2 @ X0 @ X1) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true)) ) | ~spl34_121),
% 157.07/23.82 inference(superposition,[status(thm)],[f51,f2381])).
% 157.07/23.82 thf(f2381,plain,(
% 157.07/23.82 (c0 = (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ~spl34_121),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f2379])).
% 157.07/23.82 thf(f51,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c,X7 : b > b > b > $o] : (((sP2 @ X1 @ X0) != $true) | ($true != (X7 @ (sK13 @ X7) @ (sK15 @ X7) @ (sK14 @ X7))) | ((X7 @ (sK11 @ X1 @ X0) @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f25])).
% 157.07/23.82 thf(f25,plain,(
% 157.07/23.82 ! [X0 : (c > b > $o) > $o,X1 : c] : ((! [X5 : c > b > $o] : (((X0 @ X5) != $true) | ($true = (X5 @ X1 @ (sK11 @ X1 @ X0)))) & ! [X6 : c > b > $o] : (($true != (X0 @ X6)) | ((X6 @ X1 @ (sK10 @ X1 @ X0)) = $true)) & ! [X7 : b > b > b > $o] : (((((c0 = (sK13 @ X7)) & ((sK14 @ X7) = (sK15 @ X7))) | ((c0 = (sK15 @ X7)) & ((sK13 @ X7) = (sK14 @ X7))) | ((sP1 @ (sK15 @ X7) @ (sK13 @ X7) @ (sK14 @ X7) @ X7) = $true)) & ($true != (X7 @ (sK13 @ X7) @ (sK15 @ X7) @ (sK14 @ X7)))) | ((X7 @ (sK11 @ X1 @ X0) @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true)) & (((sK16 @ X1 @ X0 @ X1 @ (sK12 @ X1 @ X0)) != $true) & ((X0 @ (sK16 @ X1 @ X0)) = $true))) | ((sP2 @ X1 @ X0) != $true))),
% 157.07/23.82 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f21,f24,f23,f22])).
% 157.07/23.82 thf(f22,plain,(
% 157.07/23.82 ! [X0 : (c > b > $o) > $o,X1 : c] : (? [X2 : b,X3 : b,X4 : b] : (! [X5 : c > b > $o] : (((X0 @ X5) != $true) | ($true = (X5 @ X1 @ X3))) & ! [X6 : c > b > $o] : (($true != (X0 @ X6)) | ($true = (X6 @ X1 @ X2))) & ! [X7 : b > b > b > $o] : (? [X8 : b,X9 : b,X10 : b] : ((((c0 = X8) & (X9 = X10)) | ((c0 = X10) & (X8 = X9)) | ($true = (sP1 @ X10 @ X8 @ X9 @ X7))) & ((X7 @ X8 @ X10 @ X9) != $true)) | ($true = (X7 @ X3 @ X2 @ X4))) & ? [X11 : c > b > $o] : (((X11 @ X1 @ X4) != $true) & ($true = (X0 @ X11)))) => (! [X5 : c > b > $o] : (((X0 @ X5) != $true) | ($true = (X5 @ X1 @ (sK11 @ X1 @ X0)))) & ! [X6 : c > b > $o] : (($true != (X0 @ X6)) | ((X6 @ X1 @ (sK10 @ X1 @ X0)) = $true)) & ! [X7 : b > b > b > $o] : (? [X8 : b,X9 : b,X10 : b] : ((((c0 = X8) & (X9 = X10)) | ((c0 = X10) & (X8 = X9)) | ($true = (sP1 @ X10 @ X8 @ X9 @ X7))) & ((X7 @ X8 @ X10 @ X9) != $true)) | ((X7 @ (sK11 @ X1 @ X0) @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true)) & ? [X11 : c > b > $o] : (((X11 @ X1 @ (sK12 @ X1 @ X0)) != $true) & ($true = (X0 @ X11)))))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f23,plain,(
% 157.07/23.82 ! [X7 : b > b > b > $o] : (? [X8 : b,X9 : b,X10 : b] : ((((c0 = X8) & (X9 = X10)) | ((c0 = X10) & (X8 = X9)) | ($true = (sP1 @ X10 @ X8 @ X9 @ X7))) & ((X7 @ X8 @ X10 @ X9) != $true)) => ((((c0 = (sK13 @ X7)) & ((sK14 @ X7) = (sK15 @ X7))) | ((c0 = (sK15 @ X7)) & ((sK13 @ X7) = (sK14 @ X7))) | ((sP1 @ (sK15 @ X7) @ (sK13 @ X7) @ (sK14 @ X7) @ X7) = $true)) & ($true != (X7 @ (sK13 @ X7) @ (sK15 @ X7) @ (sK14 @ X7)))))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f24,plain,(
% 157.07/23.82 ! [X0 : (c > b > $o) > $o,X1 : c] : (? [X11 : c > b > $o] : (((X11 @ X1 @ (sK12 @ X1 @ X0)) != $true) & ($true = (X0 @ X11))) => (((sK16 @ X1 @ X0 @ X1 @ (sK12 @ X1 @ X0)) != $true) & ((X0 @ (sK16 @ X1 @ X0)) = $true)))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f21,plain,(
% 157.07/23.82 ! [X0 : (c > b > $o) > $o,X1 : c] : (? [X2 : b,X3 : b,X4 : b] : (! [X5 : c > b > $o] : (((X0 @ X5) != $true) | ($true = (X5 @ X1 @ X3))) & ! [X6 : c > b > $o] : (($true != (X0 @ X6)) | ($true = (X6 @ X1 @ X2))) & ! [X7 : b > b > b > $o] : (? [X8 : b,X9 : b,X10 : b] : ((((c0 = X8) & (X9 = X10)) | ((c0 = X10) & (X8 = X9)) | ($true = (sP1 @ X10 @ X8 @ X9 @ X7))) & ((X7 @ X8 @ X10 @ X9) != $true)) | ($true = (X7 @ X3 @ X2 @ X4))) & ? [X11 : c > b > $o] : (((X11 @ X1 @ X4) != $true) & ($true = (X0 @ X11)))) | ((sP2 @ X1 @ X0) != $true))),
% 157.07/23.82 inference(rectify,[status(thm)],[f20])).
% 157.07/23.82 thf(f20,plain,(
% 157.07/23.82 ! [X0 : (c > b > $o) > $o,X28 : c] : (? [X44 : b,X43 : b,X45 : b] : (! [X57 : c > b > $o] : (((X0 @ X57) != $true) | ((X57 @ X28 @ X43) = $true)) & ! [X46 : c > b > $o] : (((X0 @ X46) != $true) | ((X46 @ X28 @ X44) = $true)) & ! [X47 : b > b > b > $o] : (? [X48 : b,X49 : b,X50 : b] : ((((c0 = X48) & (X49 = X50)) | ((c0 = X50) & (X48 = X49)) | ($true = (sP1 @ X50 @ X48 @ X49 @ X47))) & ($true != (X47 @ X48 @ X50 @ X49))) | ($true = (X47 @ X43 @ X44 @ X45))) & ? [X58 : c > b > $o] : (($true != (X58 @ X28 @ X45)) & ($true = (X0 @ X58)))) | ((sP2 @ X28 @ X0) != $true))),
% 157.07/23.82 inference(nnf_transformation,[status(thm)],[f11])).
% 157.07/23.82 thf(f11,plain,(
% 157.07/23.82 ! [X0 : (c > b > $o) > $o,X28 : c] : (? [X44 : b,X43 : b,X45 : b] : (! [X57 : c > b > $o] : (((X0 @ X57) != $true) | ((X57 @ X28 @ X43) = $true)) & ! [X46 : c > b > $o] : (((X0 @ X46) != $true) | ((X46 @ X28 @ X44) = $true)) & ! [X47 : b > b > b > $o] : (? [X48 : b,X49 : b,X50 : b] : ((((c0 = X48) & (X49 = X50)) | ((c0 = X50) & (X48 = X49)) | ($true = (sP1 @ X50 @ X48 @ X49 @ X47))) & ($true != (X47 @ X48 @ X50 @ X49))) | ($true = (X47 @ X43 @ X44 @ X45))) & ? [X58 : c > b > $o] : (($true != (X58 @ X28 @ X45)) & ($true = (X0 @ X58)))) | ~((sP2 @ X28 @ X0) = $true))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 157.07/23.82 thf(f2445,plain,(
% 157.07/23.82 spl34_121 | ~spl34_33 | ~spl34_39),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f2444,f458,f429,f2379])).
% 157.07/23.82 thf(f429,definition,(
% 157.07/23.82 spl34_33 <=> ((sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_33])],[avatar_definition])).
% 157.07/23.82 thf(f2444,plain,(
% 157.07/23.82 (c0 = (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | (~spl34_33 | ~spl34_39)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f431,f460])).
% 157.07/23.82 thf(f431,plain,(
% 157.07/23.82 ((sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ~spl34_33),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f429])).
% 157.07/23.82 thf(f2367,plain,(
% 157.07/23.82 ~spl34_43 | ~spl34_37 | spl34_40),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f2344,f462,f447,f489])).
% 157.07/23.82 thf(f489,definition,(
% 157.07/23.82 spl34_43 <=> ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ c0 @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_43])],[avatar_definition])).
% 157.07/23.82 thf(f462,definition,(
% 157.07/23.82 spl34_40 <=> ($true = (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_40])],[avatar_definition])).
% 157.07/23.82 thf(f2344,plain,(
% 157.07/23.82 ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ c0 @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | (~spl34_37 | spl34_40)),
% 157.07/23.82 inference(backward_demodulation,[status(thm)],[f464,f449])).
% 157.07/23.82 thf(f464,plain,(
% 157.07/23.82 ($true != (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) | spl34_40),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f462])).
% 157.07/23.82 thf(f2258,plain,(
% 157.07/23.82 spl34_30 | ~spl34_34 | ~spl34_100),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f2257,f2162,f433,f407])).
% 157.07/23.82 thf(f407,definition,(
% 157.07/23.82 spl34_30 <=> ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_30])],[avatar_definition])).
% 157.07/23.82 thf(f433,definition,(
% 157.07/23.82 spl34_34 <=> ((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_34])],[avatar_definition])).
% 157.07/23.82 thf(f2162,definition,(
% 157.07/23.82 spl34_100 <=> ! [X2 : b,X3 : b] : (((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ X2 @ X3 @ (sK17 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X2) @ (cP @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X3) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_100])],[avatar_definition])).
% 157.07/23.82 thf(f2257,plain,(
% 157.07/23.82 ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true) | (~spl34_34 | ~spl34_100)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f2251,f1865])).
% 157.07/23.82 thf(f1865,plain,(
% 157.07/23.82 ((cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK19 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ~spl34_34),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1857])).
% 157.07/23.82 thf(f1857,plain,(
% 157.07/23.82 ($true != $true) | ((cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK19 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ~spl34_34),
% 157.07/23.82 inference(superposition,[status(thm)],[f59,f435])).
% 157.07/23.82 thf(f435,plain,(
% 157.07/23.82 ((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = $true) | ~spl34_34),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f433])).
% 157.07/23.82 thf(f59,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (((cP @ (sK22 @ X3 @ X2 @ X1 @ X0) @ (sK19 @ X3 @ X2 @ X1 @ X0)) = X2) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f29])).
% 157.07/23.82 thf(f29,plain,(
% 157.07/23.82 ! [X0 : b > b > b > $o,X1 : b,X2 : b,X3 : b] : ((($true = (X0 @ (sK22 @ X3 @ X2 @ X1 @ X0) @ (sK21 @ X3 @ X2 @ X1 @ X0) @ (sK18 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK18 @ X3 @ X2 @ X1 @ X0) @ (sK17 @ X3 @ X2 @ X1 @ X0)) = X1) & ((X0 @ (sK19 @ X3 @ X2 @ X1 @ X0) @ (sK20 @ X3 @ X2 @ X1 @ X0) @ (sK17 @ X3 @ X2 @ X1 @ X0)) = $true) & ((cP @ (sK22 @ X3 @ X2 @ X1 @ X0) @ (sK19 @ X3 @ X2 @ X1 @ X0)) = X2) & ((cP @ (sK21 @ X3 @ X2 @ X1 @ X0) @ (sK20 @ X3 @ X2 @ X1 @ X0)) = X3)) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0)))),
% 157.07/23.82 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21,sK22])],[f27,f28])).
% 157.07/23.82 thf(f28,plain,(
% 157.07/23.82 ! [X0 : b > b > b > $o,X1 : b,X2 : b,X3 : b] : (? [X4 : b,X5 : b,X6 : b,X7 : b,X8 : b,X9 : b] : (($true = (X0 @ X9 @ X8 @ X5)) & ((cP @ X5 @ X4) = X1) & ($true = (X0 @ X6 @ X7 @ X4)) & ((cP @ X9 @ X6) = X2) & ((cP @ X8 @ X7) = X3)) => (($true = (X0 @ (sK22 @ X3 @ X2 @ X1 @ X0) @ (sK21 @ X3 @ X2 @ X1 @ X0) @ (sK18 @ X3 @ X2 @ X1 @ X0))) & ((cP @ (sK18 @ X3 @ X2 @ X1 @ X0) @ (sK17 @ X3 @ X2 @ X1 @ X0)) = X1) & ((X0 @ (sK19 @ X3 @ X2 @ X1 @ X0) @ (sK20 @ X3 @ X2 @ X1 @ X0) @ (sK17 @ X3 @ X2 @ X1 @ X0)) = $true) & ((cP @ (sK22 @ X3 @ X2 @ X1 @ X0) @ (sK19 @ X3 @ X2 @ X1 @ X0)) = X2) & ((cP @ (sK21 @ X3 @ X2 @ X1 @ X0) @ (sK20 @ X3 @ X2 @ X1 @ X0)) = X3)))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f27,plain,(
% 157.07/23.82 ! [X0 : b > b > b > $o,X1 : b,X2 : b,X3 : b] : (? [X4 : b,X5 : b,X6 : b,X7 : b,X8 : b,X9 : b] : (($true = (X0 @ X9 @ X8 @ X5)) & ((cP @ X5 @ X4) = X1) & ($true = (X0 @ X6 @ X7 @ X4)) & ((cP @ X9 @ X6) = X2) & ((cP @ X8 @ X7) = X3)) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0)))),
% 157.07/23.82 inference(rectify,[status(thm)],[f26])).
% 157.07/23.82 thf(f26,plain,(
% 157.07/23.82 ! [X47 : b > b > b > $o,X49 : b,X48 : b,X50 : b] : (? [X54 : b,X51 : b,X56 : b,X55 : b,X52 : b,X53 : b] : (($true = (X47 @ X53 @ X52 @ X51)) & ((cP @ X51 @ X54) = X49) & ($true = (X47 @ X56 @ X55 @ X54)) & ((cP @ X53 @ X56) = X48) & ((cP @ X52 @ X55) = X50)) | ($true != (sP1 @ X50 @ X48 @ X49 @ X47)))),
% 157.07/23.82 inference(nnf_transformation,[status(thm)],[f10])).
% 157.07/23.82 thf(f10,plain,(
% 157.07/23.82 ! [X47 : b > b > b > $o,X49 : b,X48 : b,X50 : b] : (? [X54 : b,X51 : b,X56 : b,X55 : b,X52 : b,X53 : b] : (($true = (X47 @ X53 @ X52 @ X51)) & ((cP @ X51 @ X54) = X49) & ($true = (X47 @ X56 @ X55 @ X54)) & ((cP @ X53 @ X56) = X48) & ((cP @ X52 @ X55) = X50)) | ~($true = (sP1 @ X50 @ X48 @ X49 @ X47)))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 157.07/23.82 thf(f2251,plain,(
% 157.07/23.82 ($true = (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK19 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) | (~spl34_34 | ~spl34_100)),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f2249])).
% 157.07/23.82 thf(f2249,plain,(
% 157.07/23.82 ($true != $true) | ($true = (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK19 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) | (~spl34_34 | ~spl34_100)),
% 157.07/23.82 inference(superposition,[status(thm)],[f2226,f1862])).
% 157.07/23.82 thf(f1862,plain,(
% 157.07/23.82 ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK19 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK20 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK17 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true) | ~spl34_34),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1859])).
% 157.07/23.82 thf(f1859,plain,(
% 157.07/23.82 ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK19 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK20 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK17 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true) | ($true != $true) | ~spl34_34),
% 157.07/23.82 inference(superposition,[status(thm)],[f60,f435])).
% 157.07/23.82 thf(f60,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (((X0 @ (sK19 @ X3 @ X2 @ X1 @ X0) @ (sK20 @ X3 @ X2 @ X1 @ X0) @ (sK17 @ X3 @ X2 @ X1 @ X0)) = $true) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f29])).
% 157.07/23.82 thf(f2226,plain,(
% 157.07/23.82 ( ! [X0 : b] : (((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ X0 @ (sK20 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK17 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | ($true = (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X0) @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))))) ) | (~spl34_34 | ~spl34_100)),
% 157.07/23.82 inference(superposition,[status(thm)],[f2163,f1864])).
% 157.07/23.82 thf(f1864,plain,(
% 157.07/23.82 ((sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = (cP @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK20 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) | ~spl34_34),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1858])).
% 157.07/23.82 thf(f1858,plain,(
% 157.07/23.82 ($true != $true) | ((sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = (cP @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK20 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) | ~spl34_34),
% 157.07/23.82 inference(superposition,[status(thm)],[f58,f435])).
% 157.07/23.82 thf(f58,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (((cP @ (sK21 @ X3 @ X2 @ X1 @ X0) @ (sK20 @ X3 @ X2 @ X1 @ X0)) = X3) | ($true != (sP1 @ X3 @ X2 @ X1 @ X0))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f29])).
% 157.07/23.82 thf(f2163,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b] : (((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X2) @ (cP @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X3) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ X2 @ X3 @ (sK17 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true)) ) | ~spl34_100),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f2162])).
% 157.07/23.82 thf(f2164,plain,(
% 157.07/23.82 spl34_100 | spl34_29 | ~spl34_34),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f2160,f433,f404,f2162])).
% 157.07/23.82 thf(f404,definition,(
% 157.07/23.82 spl34_29 <=> ! [X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ($true != (sK29 @ X0)))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_29])],[avatar_definition])).
% 157.07/23.82 thf(f2160,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : c > b > $o,X1 : c] : (($true != (sK29 @ X0)) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ X2 @ X3 @ (sK17 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X2) @ (cP @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X3) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true)) ) | ~spl34_34),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f2159])).
% 157.07/23.82 thf(f2159,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : c > b > $o,X1 : c] : (($true != $true) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ X2 @ X3 @ (sK17 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | ($true != (sK29 @ X0)) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X2) @ (cP @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X3) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true)) ) | ~spl34_34),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f2157,f435])).
% 157.07/23.82 thf(f2157,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true != (sK29 @ X0)) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X2) @ (cP @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X3) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ X2 @ X3 @ (sK17 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true)) ) | ~spl34_34),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f2150])).
% 157.07/23.82 thf(f2150,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (cP @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X2) @ (cP @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ X3) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ X2 @ X3 @ (sK17 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | ($true != (sK29 @ X0)) | ((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) != $true) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29)))) ) | ~spl34_34),
% 157.07/23.82 inference(superposition,[status(thm)],[f1083,f1861])).
% 157.07/23.82 thf(f1861,plain,(
% 157.07/23.82 ($true = (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK18 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) | ~spl34_34),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1860])).
% 157.07/23.82 thf(f1860,plain,(
% 157.07/23.82 ($true != $true) | ($true = (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK22 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK21 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK18 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) | ~spl34_34),
% 157.07/23.82 inference(superposition,[status(thm)],[f62,f435])).
% 157.07/23.82 thf(f62,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (($true != (sP1 @ X3 @ X2 @ X1 @ X0)) | ($true = (X0 @ (sK22 @ X3 @ X2 @ X1 @ X0) @ (sK21 @ X3 @ X2 @ X1 @ X0) @ (sK18 @ X3 @ X2 @ X1 @ X0)))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f29])).
% 157.07/23.82 thf(f1083,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b > b > b > $o,X10 : b,X0 : b,X11 : c > b > $o,X1 : b,X8 : b,X6 : b,X9 : b,X7 : b,X4 : b,X5 : b,X12 : c] : (($true != (sK33 @ X4 @ X5 @ X6 @ X7 @ X9 @ (sK18 @ X0 @ X1 @ X2 @ X3))) | ((sP1 @ X0 @ X1 @ X2 @ X3) != $true) | ((X11 @ X12 @ X6) = $true) | ((X11 @ X12 @ X4) != $true) | ((sK33 @ X4 @ X5 @ X6 @ X8 @ X10 @ (sK17 @ X0 @ X1 @ X2 @ X3)) != $true) | ((sK29 @ X11) != $true) | ((X11 @ X12 @ X5) != $true) | ((sK33 @ X4 @ X5 @ X6 @ (cP @ X7 @ X8) @ (cP @ X9 @ X10) @ X2) = $true)) )),
% 157.07/23.82 inference(superposition,[status(thm)],[f90,f61])).
% 157.07/23.82 thf(f61,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (($true != (sP1 @ X3 @ X2 @ X1 @ X0)) | ((cP @ (sK18 @ X3 @ X2 @ X1 @ X0) @ (sK17 @ X3 @ X2 @ X1 @ X0)) = X1)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f29])).
% 157.07/23.82 thf(f90,plain,(
% 157.07/23.82 ( ! [X28 : b,X3 : c > b > $o,X29 : b,X18 : b,X19 : b,X26 : b,X27 : b,X4 : c,X17 : b,X24 : b,X25 : b] : (((sK33 @ X19 @ X18 @ X17 @ (cP @ X27 @ X26) @ (cP @ X24 @ X25) @ (cP @ X28 @ X29)) = $true) | ($true != (X3 @ X4 @ X18)) | ($true != (sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29)) | ((sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28) != $true) | ((X3 @ X4 @ X17) = $true) | ($true != (sK29 @ X3)) | ($true != (X3 @ X4 @ X19))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f89])).
% 157.07/23.82 thf(f89,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X28 : b,X29 : b,X18 : b,X19 : b,X26 : b,X27 : b,X4 : c,X17 : b,X24 : b,X25 : b,X23 : b] : (($true != (X3 @ X4 @ X18)) | ($true != (sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29)) | ((sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28) != $true) | ((cP @ X28 @ X29) != X23) | ($true = (sK33 @ X19 @ X18 @ X17 @ (cP @ X27 @ X26) @ (cP @ X24 @ X25) @ X23)) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f88])).
% 157.07/23.82 thf(f88,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X28 : b,X29 : b,X18 : b,X19 : b,X26 : b,X27 : b,X4 : c,X17 : b,X24 : b,X22 : b,X25 : b,X23 : b] : (($true != (X3 @ X4 @ X18)) | ($true != (sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29)) | ((sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28) != $true) | ((cP @ X24 @ X25) != X22) | ((cP @ X28 @ X29) != X23) | ((sK33 @ X19 @ X18 @ X17 @ (cP @ X27 @ X26) @ X22 @ X23) = $true) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f70])).
% 157.07/23.82 thf(f70,plain,(
% 157.07/23.82 ( ! [X21 : b,X3 : c > b > $o,X28 : b,X29 : b,X18 : b,X19 : b,X26 : b,X27 : b,X4 : c,X17 : b,X24 : b,X22 : b,X25 : b,X23 : b] : (($true != (X3 @ X4 @ X18)) | ((cP @ X27 @ X26) != X21) | ($true != (sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29)) | ((sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28) != $true) | ((cP @ X24 @ X25) != X22) | ((cP @ X28 @ X29) != X23) | ((sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23) = $true) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.82 thf(f40,plain,(
% 157.07/23.82 ((($true != (sK31 @ sK30 @ c0)) & ((sK29 @ sK31) = $true)) | ($true = (sP2 @ sK30 @ sK29)) | ($true = (sP3 @ sK29 @ sK30))) & ! [X3 : c > b > $o] : (! [X4 : c] : (((X3 @ X4 @ c0) = $true) & ! [X5 : b,X6 : b] : (((X3 @ X4 @ X5) != $true) | (! [X8 : b,X9 : b,X10 : b] : ((((X8 != X10) | (c0 != X9)) & ((c0 != X8) | (X9 != X10)) & ! [X11 : b,X12 : b,X13 : b,X14 : b,X15 : b,X16 : b] : (((cP @ X16 @ X11) != X8) | ($true != (sK32 @ X6 @ X5 @ X12 @ X11 @ X13)) | ((cP @ X14 @ X12) != X9) | ((sK32 @ X6 @ X5 @ X14 @ X16 @ X15) != $true) | ((cP @ X15 @ X13) != X10))) | ((sK32 @ X6 @ X5 @ X9 @ X8 @ X10) = $true)) & ($true != (sK32 @ X6 @ X5 @ X6 @ X5 @ X5))) | ((X3 @ X4 @ X6) = $true)) & ! [X17 : b,X18 : b,X19 : b] : (($true != (X3 @ X4 @ X18)) | (! [X21 : b,X22 : b,X23 : b] : ((((c0 != X22) | (X21 != X23)) & ! [X24 : b,X25 : b,X26 : b,X27 : b,X28 : b,X29 : b] : (((cP @ X27 @ X26) != X21) | ($true != (sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29)) | ((sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28) != $true) | ((cP @ X24 @ X25) != X22) | ((cP @ X28 @ X29) != X23)) & ((c0 != X21) | (X22 != X23))) | ((sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23) = $true)) & ((sK33 @ X19 @ X18 @ X17 @ X18 @ X19 @ X17) != $true)) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true))) | ($true != (sK29 @ X3)))),
% 157.07/23.82 inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32,sK33])],[f34,f39,f38,f37,f36,f35])).
% 157.07/23.82 thf(f35,plain,(
% 157.07/23.82 ? [X0 : (c > b > $o) > $o] : (? [X1 : c] : (? [X2 : c > b > $o] : (((X2 @ X1 @ c0) != $true) & ((X0 @ X2) = $true)) | ((sP2 @ X1 @ X0) = $true) | ((sP3 @ X0 @ X1) = $true)) & ! [X3 : c > b > $o] : (! [X4 : c] : (((X3 @ X4 @ c0) = $true) & ! [X5 : b,X6 : b] : (((X3 @ X4 @ X5) != $true) | ? [X7 : b > b > b > $o] : (! [X8 : b,X9 : b,X10 : b] : ((((X8 != X10) | (c0 != X9)) & ((c0 != X8) | (X9 != X10)) & ! [X11 : b,X12 : b,X13 : b,X14 : b,X15 : b,X16 : b] : (((cP @ X16 @ X11) != X8) | ($true != (X7 @ X12 @ X11 @ X13)) | ((cP @ X14 @ X12) != X9) | ((X7 @ X14 @ X16 @ X15) != $true) | ((cP @ X15 @ X13) != X10))) | ($true = (X7 @ X9 @ X8 @ X10))) & ((X7 @ X6 @ X5 @ X5) != $true)) | ((X3 @ X4 @ X6) = $true)) & ! [X17 : b,X18 : b,X19 : b] : (($true != (X3 @ X4 @ X18)) | ? [X20 : b > b > b > $o] : (! [X21 : b,X22 : b,X23 : b] : ((((c0 != X22) | (X21 != X23)) & ! [X24 : b,X25 : b,X26 : b,X27 : b,X28 : b,X29 : b] : (((cP @ X27 @ X26) != X21) | ((X20 @ X26 @ X25 @ X29) != $true) | ((X20 @ X27 @ X24 @ X28) != $true) | ((cP @ X24 @ X25) != X22) | ((cP @ X28 @ X29) != X23)) & ((c0 != X21) | (X22 != X23))) | ($true = (X20 @ X21 @ X22 @ X23))) & ((X20 @ X18 @ X19 @ X17) != $true)) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true))) | ($true != (X0 @ X3)))) => (? [X1 : c] : (? [X2 : c > b > $o] : (((X2 @ X1 @ c0) != $true) & ($true = (sK29 @ X2))) | ($true = (sP2 @ X1 @ sK29)) | ($true = (sP3 @ sK29 @ X1))) & ! [X3 : c > b > $o] : (! [X4 : c] : (((X3 @ X4 @ c0) = $true) & ! [X5 : b,X6 : b] : (((X3 @ X4 @ X5) != $true) | ? [X7 : b > b > b > $o] : (! [X8 : b,X9 : b,X10 : b] : ((((X8 != X10) | (c0 != X9)) & ((c0 != X8) | (X9 != X10)) & ! [X11 : b,X12 : b,X13 : b,X14 : b,X15 : b,X16 : b] : (((cP @ X16 @ X11) != X8) | ($true != (X7 @ X12 @ X11 @ X13)) | ((cP @ X14 @ X12) != X9) | ((X7 @ X14 @ X16 @ X15) != $true) | ((cP @ X15 @ X13) != X10))) | ($true = (X7 @ X9 @ X8 @ X10))) & ((X7 @ X6 @ X5 @ X5) != $true)) | ((X3 @ X4 @ X6) = $true)) & ! [X17 : b,X18 : b,X19 : b] : (($true != (X3 @ X4 @ X18)) | ? [X20 : b > b > b > $o] : (! [X21 : b,X22 : b,X23 : b] : ((((c0 != X22) | (X21 != X23)) & ! [X24 : b,X25 : b,X26 : b,X27 : b,X28 : b,X29 : b] : (((cP @ X27 @ X26) != X21) | ((X20 @ X26 @ X25 @ X29) != $true) | ((X20 @ X27 @ X24 @ X28) != $true) | ((cP @ X24 @ X25) != X22) | ((cP @ X28 @ X29) != X23)) & ((c0 != X21) | (X22 != X23))) | ($true = (X20 @ X21 @ X22 @ X23))) & ((X20 @ X18 @ X19 @ X17) != $true)) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true))) | ($true != (sK29 @ X3))))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f36,plain,(
% 157.07/23.82 ? [X1 : c] : (? [X2 : c > b > $o] : (((X2 @ X1 @ c0) != $true) & ($true = (sK29 @ X2))) | ($true = (sP2 @ X1 @ sK29)) | ($true = (sP3 @ sK29 @ X1))) => (? [X2 : c > b > $o] : (((X2 @ sK30 @ c0) != $true) & ($true = (sK29 @ X2))) | ($true = (sP2 @ sK30 @ sK29)) | ($true = (sP3 @ sK29 @ sK30)))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f37,plain,(
% 157.07/23.82 ? [X2 : c > b > $o] : (((X2 @ sK30 @ c0) != $true) & ($true = (sK29 @ X2))) => (($true != (sK31 @ sK30 @ c0)) & ((sK29 @ sK31) = $true))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f38,plain,(
% 157.07/23.82 ! [X5 : b,X6 : b] : (? [X7 : b > b > b > $o] : (! [X8 : b,X9 : b,X10 : b] : ((((X8 != X10) | (c0 != X9)) & ((c0 != X8) | (X9 != X10)) & ! [X11 : b,X12 : b,X13 : b,X14 : b,X15 : b,X16 : b] : (((cP @ X16 @ X11) != X8) | ($true != (X7 @ X12 @ X11 @ X13)) | ((cP @ X14 @ X12) != X9) | ((X7 @ X14 @ X16 @ X15) != $true) | ((cP @ X15 @ X13) != X10))) | ($true = (X7 @ X9 @ X8 @ X10))) & ((X7 @ X6 @ X5 @ X5) != $true)) => (! [X10 : b,X9 : b,X8 : b] : ((((X8 != X10) | (c0 != X9)) & ((c0 != X8) | (X9 != X10)) & ! [X16 : b,X15 : b,X14 : b,X13 : b,X12 : b,X11 : b] : (((cP @ X16 @ X11) != X8) | ($true != (sK32 @ X6 @ X5 @ X12 @ X11 @ X13)) | ((cP @ X14 @ X12) != X9) | ((sK32 @ X6 @ X5 @ X14 @ X16 @ X15) != $true) | ((cP @ X15 @ X13) != X10))) | ((sK32 @ X6 @ X5 @ X9 @ X8 @ X10) = $true)) & ($true != (sK32 @ X6 @ X5 @ X6 @ X5 @ X5))))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f39,plain,(
% 157.07/23.82 ! [X17 : b,X18 : b,X19 : b] : (? [X20 : b > b > b > $o] : (! [X21 : b,X22 : b,X23 : b] : ((((c0 != X22) | (X21 != X23)) & ! [X24 : b,X25 : b,X26 : b,X27 : b,X28 : b,X29 : b] : (((cP @ X27 @ X26) != X21) | ((X20 @ X26 @ X25 @ X29) != $true) | ((X20 @ X27 @ X24 @ X28) != $true) | ((cP @ X24 @ X25) != X22) | ((cP @ X28 @ X29) != X23)) & ((c0 != X21) | (X22 != X23))) | ($true = (X20 @ X21 @ X22 @ X23))) & ((X20 @ X18 @ X19 @ X17) != $true)) => (! [X23 : b,X22 : b,X21 : b] : ((((c0 != X22) | (X21 != X23)) & ! [X29 : b,X28 : b,X27 : b,X26 : b,X25 : b,X24 : b] : (((cP @ X27 @ X26) != X21) | ($true != (sK33 @ X19 @ X18 @ X17 @ X26 @ X25 @ X29)) | ((sK33 @ X19 @ X18 @ X17 @ X27 @ X24 @ X28) != $true) | ((cP @ X24 @ X25) != X22) | ((cP @ X28 @ X29) != X23)) & ((c0 != X21) | (X22 != X23))) | ((sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23) = $true)) & ((sK33 @ X19 @ X18 @ X17 @ X18 @ X19 @ X17) != $true)))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f34,plain,(
% 157.07/23.82 ? [X0 : (c > b > $o) > $o] : (? [X1 : c] : (? [X2 : c > b > $o] : (((X2 @ X1 @ c0) != $true) & ((X0 @ X2) = $true)) | ((sP2 @ X1 @ X0) = $true) | ((sP3 @ X0 @ X1) = $true)) & ! [X3 : c > b > $o] : (! [X4 : c] : (((X3 @ X4 @ c0) = $true) & ! [X5 : b,X6 : b] : (((X3 @ X4 @ X5) != $true) | ? [X7 : b > b > b > $o] : (! [X8 : b,X9 : b,X10 : b] : ((((X8 != X10) | (c0 != X9)) & ((c0 != X8) | (X9 != X10)) & ! [X11 : b,X12 : b,X13 : b,X14 : b,X15 : b,X16 : b] : (((cP @ X16 @ X11) != X8) | ($true != (X7 @ X12 @ X11 @ X13)) | ((cP @ X14 @ X12) != X9) | ((X7 @ X14 @ X16 @ X15) != $true) | ((cP @ X15 @ X13) != X10))) | ($true = (X7 @ X9 @ X8 @ X10))) & ((X7 @ X6 @ X5 @ X5) != $true)) | ((X3 @ X4 @ X6) = $true)) & ! [X17 : b,X18 : b,X19 : b] : (($true != (X3 @ X4 @ X18)) | ? [X20 : b > b > b > $o] : (! [X21 : b,X22 : b,X23 : b] : ((((c0 != X22) | (X21 != X23)) & ! [X24 : b,X25 : b,X26 : b,X27 : b,X28 : b,X29 : b] : (((cP @ X27 @ X26) != X21) | ((X20 @ X26 @ X25 @ X29) != $true) | ((X20 @ X27 @ X24 @ X28) != $true) | ((cP @ X24 @ X25) != X22) | ((cP @ X28 @ X29) != X23)) & ((c0 != X21) | (X22 != X23))) | ($true = (X20 @ X21 @ X22 @ X23))) & ((X20 @ X18 @ X19 @ X17) != $true)) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true))) | ($true != (X0 @ X3))))),
% 157.07/23.82 inference(rectify,[status(thm)],[f13])).
% 157.07/23.82 thf(f13,plain,(
% 157.07/23.82 ? [X0 : (c > b > $o) > $o] : (? [X28 : c] : (? [X59 : c > b > $o] : (((X59 @ X28 @ c0) != $true) & ($true = (X0 @ X59))) | ((sP2 @ X28 @ X0) = $true) | ((sP3 @ X0 @ X28) = $true)) & ! [X1 : c > b > $o] : (! [X2 : c] : (((X1 @ X2 @ c0) = $true) & ! [X17 : b,X16 : b] : (($true != (X1 @ X2 @ X17)) | ? [X18 : b > b > b > $o] : (! [X20 : b,X21 : b,X19 : b] : ((((X19 != X20) | (c0 != X21)) & ((c0 != X20) | (X19 != X21)) & ! [X26 : b,X27 : b,X23 : b,X25 : b,X24 : b,X22 : b] : (((cP @ X22 @ X26) != X20) | ((X18 @ X27 @ X26 @ X23) != $true) | ((cP @ X25 @ X27) != X21) | ((X18 @ X25 @ X22 @ X24) != $true) | ((cP @ X24 @ X23) != X19))) | ($true = (X18 @ X21 @ X20 @ X19))) & ((X18 @ X16 @ X17 @ X17) != $true)) | ((X1 @ X2 @ X16) = $true)) & ! [X3 : b,X4 : b,X5 : b] : (((X1 @ X2 @ X4) != $true) | ? [X6 : b > b > b > $o] : (! [X8 : b,X9 : b,X7 : b] : ((((c0 != X9) | (X7 != X8)) & ! [X12 : b,X10 : b,X13 : b,X11 : b,X14 : b,X15 : b] : (((cP @ X11 @ X13) != X8) | ((X6 @ X13 @ X10 @ X15) != $true) | ($true != (X6 @ X11 @ X12 @ X14)) | ((cP @ X12 @ X10) != X9) | ((cP @ X14 @ X15) != X7)) & ((c0 != X8) | (X7 != X9))) | ($true = (X6 @ X8 @ X9 @ X7))) & ((X6 @ X4 @ X5 @ X3) != $true)) | ((X1 @ X2 @ X5) != $true) | ((X1 @ X2 @ X3) = $true))) | ((X0 @ X1) != $true)))),
% 157.07/23.82 inference(definition_folding,[status(thm)],[f8,f12,f11,f10,f9])).
% 157.07/23.82 thf(f9,plain,(
% 157.07/23.82 ! [X32 : b > b > b > $o,X34 : b,X35 : b,X33 : b] : (? [X38 : b,X40 : b,X36 : b,X39 : b,X37 : b,X41 : b] : (((X32 @ X40 @ X38 @ X41) = $true) & ((cP @ X38 @ X36) = X34) & ((cP @ X41 @ X39) = X35) & ((cP @ X40 @ X37) = X33) & ((X32 @ X37 @ X36 @ X39) = $true)) | ~($true = (sP0 @ X33 @ X35 @ X34 @ X32)))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 157.07/23.82 thf(f12,plain,(
% 157.07/23.82 ! [X28 : c,X0 : (c > b > $o) > $o] : (? [X29 : b,X30 : b] : (? [X42 : c > b > $o] : (((X42 @ X28 @ X29) != $true) & ($true = (X0 @ X42))) & ! [X31 : c > b > $o] : (((X0 @ X31) != $true) | ((X31 @ X28 @ X30) = $true)) & ! [X32 : b > b > b > $o] : (? [X33 : b,X35 : b,X34 : b] : (($true != (X32 @ X33 @ X34 @ X35)) & (((c0 = X33) & (X34 = X35)) | ((X33 = X35) & (c0 = X34)) | ($true = (sP0 @ X33 @ X35 @ X34 @ X32)))) | ((X32 @ X29 @ X30 @ X30) = $true))) | ~((sP3 @ X0 @ X28) = $true))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 157.07/23.82 thf(f8,plain,(
% 157.07/23.82 ? [X0 : (c > b > $o) > $o] : (? [X28 : c] : (? [X59 : c > b > $o] : (((X59 @ X28 @ c0) != $true) & ($true = (X0 @ X59))) | ? [X44 : b,X43 : b,X45 : b] : (! [X57 : c > b > $o] : (((X0 @ X57) != $true) | ((X57 @ X28 @ X43) = $true)) & ! [X46 : c > b > $o] : (((X0 @ X46) != $true) | ((X46 @ X28 @ X44) = $true)) & ! [X47 : b > b > b > $o] : (? [X48 : b,X49 : b,X50 : b] : ((((c0 = X48) & (X49 = X50)) | ((c0 = X50) & (X48 = X49)) | ? [X54 : b,X51 : b,X56 : b,X55 : b,X52 : b,X53 : b] : (($true = (X47 @ X53 @ X52 @ X51)) & ((cP @ X51 @ X54) = X49) & ($true = (X47 @ X56 @ X55 @ X54)) & ((cP @ X53 @ X56) = X48) & ((cP @ X52 @ X55) = X50))) & ($true != (X47 @ X48 @ X50 @ X49))) | ($true = (X47 @ X43 @ X44 @ X45))) & ? [X58 : c > b > $o] : (($true != (X58 @ X28 @ X45)) & ($true = (X0 @ X58)))) | ? [X29 : b,X30 : b] : (? [X42 : c > b > $o] : (((X42 @ X28 @ X29) != $true) & ($true = (X0 @ X42))) & ! [X31 : c > b > $o] : (((X0 @ X31) != $true) | ((X31 @ X28 @ X30) = $true)) & ! [X32 : b > b > b > $o] : (? [X33 : b,X35 : b,X34 : b] : (($true != (X32 @ X33 @ X34 @ X35)) & (((c0 = X33) & (X34 = X35)) | ((X33 = X35) & (c0 = X34)) | ? [X38 : b,X40 : b,X36 : b,X39 : b,X37 : b,X41 : b] : (((X32 @ X40 @ X38 @ X41) = $true) & ((cP @ X38 @ X36) = X34) & ((cP @ X41 @ X39) = X35) & ((cP @ X40 @ X37) = X33) & ((X32 @ X37 @ X36 @ X39) = $true)))) | ((X32 @ X29 @ X30 @ X30) = $true)))) & ! [X1 : c > b > $o] : (! [X2 : c] : (((X1 @ X2 @ c0) = $true) & ! [X17 : b,X16 : b] : (($true != (X1 @ X2 @ X17)) | ? [X18 : b > b > b > $o] : (! [X20 : b,X21 : b,X19 : b] : ((((X19 != X20) | (c0 != X21)) & ((c0 != X20) | (X19 != X21)) & ! [X26 : b,X27 : b,X23 : b,X25 : b,X24 : b,X22 : b] : (((cP @ X22 @ X26) != X20) | ((X18 @ X27 @ X26 @ X23) != $true) | ((cP @ X25 @ X27) != X21) | ((X18 @ X25 @ X22 @ X24) != $true) | ((cP @ X24 @ X23) != X19))) | ($true = (X18 @ X21 @ X20 @ X19))) & ((X18 @ X16 @ X17 @ X17) != $true)) | ((X1 @ X2 @ X16) = $true)) & ! [X3 : b,X4 : b,X5 : b] : (((X1 @ X2 @ X4) != $true) | ? [X6 : b > b > b > $o] : (! [X8 : b,X9 : b,X7 : b] : ((((c0 != X9) | (X7 != X8)) & ! [X12 : b,X10 : b,X13 : b,X11 : b,X14 : b,X15 : b] : (((cP @ X11 @ X13) != X8) | ((X6 @ X13 @ X10 @ X15) != $true) | ($true != (X6 @ X11 @ X12 @ X14)) | ((cP @ X12 @ X10) != X9) | ((cP @ X14 @ X15) != X7)) & ((c0 != X8) | (X7 != X9))) | ($true = (X6 @ X8 @ X9 @ X7))) & ((X6 @ X4 @ X5 @ X3) != $true)) | ((X1 @ X2 @ X5) != $true) | ((X1 @ X2 @ X3) = $true))) | ((X0 @ X1) != $true)))),
% 157.07/23.82 inference(flattening,[status(thm)],[f7])).
% 157.07/23.82 thf(f7,plain,(
% 157.07/23.82 ? [X0 : (c > b > $o) > $o] : (? [X28 : c] : (? [X29 : b,X30 : b] : (? [X42 : c > b > $o] : (((X42 @ X28 @ X29) != $true) & ($true = (X0 @ X42))) & (! [X32 : b > b > b > $o] : (? [X33 : b,X35 : b,X34 : b] : (($true != (X32 @ X33 @ X34 @ X35)) & (((c0 = X33) & (X34 = X35)) | ((X33 = X35) & (c0 = X34)) | ? [X38 : b,X40 : b,X36 : b,X39 : b,X37 : b,X41 : b] : (((X32 @ X40 @ X38 @ X41) = $true) & ((cP @ X38 @ X36) = X34) & ((cP @ X41 @ X39) = X35) & ((cP @ X40 @ X37) = X33) & ((X32 @ X37 @ X36 @ X39) = $true)))) | ((X32 @ X29 @ X30 @ X30) = $true)) & ! [X31 : c > b > $o] : (((X0 @ X31) != $true) | ((X31 @ X28 @ X30) = $true)))) | ? [X59 : c > b > $o] : (((X59 @ X28 @ c0) != $true) & ($true = (X0 @ X59))) | ? [X45 : b,X44 : b,X43 : b] : (? [X58 : c > b > $o] : (($true != (X58 @ X28 @ X45)) & ($true = (X0 @ X58))) & (! [X57 : c > b > $o] : (((X0 @ X57) != $true) | ((X57 @ X28 @ X43) = $true)) & ! [X46 : c > b > $o] : (((X0 @ X46) != $true) | ((X46 @ X28 @ X44) = $true)) & ! [X47 : b > b > b > $o] : (? [X48 : b,X49 : b,X50 : b] : ((((c0 = X48) & (X49 = X50)) | ((c0 = X50) & (X48 = X49)) | ? [X54 : b,X51 : b,X56 : b,X55 : b,X52 : b,X53 : b] : (($true = (X47 @ X53 @ X52 @ X51)) & ((cP @ X51 @ X54) = X49) & ($true = (X47 @ X56 @ X55 @ X54)) & ((cP @ X53 @ X56) = X48) & ((cP @ X52 @ X55) = X50))) & ($true != (X47 @ X48 @ X50 @ X49))) | ($true = (X47 @ X43 @ X44 @ X45)))))) & ! [X1 : c > b > $o] : (! [X2 : c] : (! [X16 : b,X17 : b] : (((X1 @ X2 @ X16) = $true) | (? [X18 : b > b > b > $o] : (! [X20 : b,X21 : b,X19 : b] : ((((X19 != X20) | (c0 != X21)) & ((c0 != X20) | (X19 != X21)) & ! [X26 : b,X27 : b,X23 : b,X25 : b,X24 : b,X22 : b] : (((cP @ X22 @ X26) != X20) | ((X18 @ X27 @ X26 @ X23) != $true) | ((cP @ X25 @ X27) != X21) | ((X18 @ X25 @ X22 @ X24) != $true) | ((cP @ X24 @ X23) != X19))) | ($true = (X18 @ X21 @ X20 @ X19))) & ((X18 @ X16 @ X17 @ X17) != $true)) | ($true != (X1 @ X2 @ X17)))) & ! [X4 : b,X5 : b,X3 : b] : (((X1 @ X2 @ X3) = $true) | (? [X6 : b > b > b > $o] : (! [X8 : b,X9 : b,X7 : b] : ((((c0 != X9) | (X7 != X8)) & ! [X12 : b,X10 : b,X13 : b,X11 : b,X14 : b,X15 : b] : (((cP @ X11 @ X13) != X8) | ((X6 @ X13 @ X10 @ X15) != $true) | ($true != (X6 @ X11 @ X12 @ X14)) | ((cP @ X12 @ X10) != X9) | ((cP @ X14 @ X15) != X7)) & ((c0 != X8) | (X7 != X9))) | ($true = (X6 @ X8 @ X9 @ X7))) & ((X6 @ X4 @ X5 @ X3) != $true)) | ((X1 @ X2 @ X4) != $true) | ((X1 @ X2 @ X5) != $true))) & ((X1 @ X2 @ c0) = $true)) | ((X0 @ X1) != $true)))),
% 157.07/23.82 inference(ennf_transformation,[status(thm)],[f6])).
% 157.07/23.82 thf(f6,plain,(
% 157.07/23.82 ~! [X0 : (c > b > $o) > $o] : (! [X1 : c > b > $o] : (((X0 @ X1) = $true) => ! [X2 : c] : (! [X16 : b,X17 : b] : ((! [X18 : b > b > b > $o] : (! [X19 : b,X20 : b,X21 : b] : ((((X19 = X20) & (c0 = X21)) | ((c0 = X20) & (X19 = X21)) | ? [X27 : b,X26 : b,X24 : b,X22 : b,X25 : b,X23 : b] : (((cP @ X25 @ X27) = X21) & ((cP @ X22 @ X26) = X20) & ((X18 @ X27 @ X26 @ X23) = $true) & ((cP @ X24 @ X23) = X19) & ((X18 @ X25 @ X22 @ X24) = $true))) => ($true = (X18 @ X21 @ X20 @ X19))) => ((X18 @ X16 @ X17 @ X17) = $true)) & ($true = (X1 @ X2 @ X17))) => ((X1 @ X2 @ X16) = $true)) & ! [X4 : b,X5 : b,X3 : b] : ((! [X6 : b > b > b > $o] : (! [X8 : b,X9 : b,X7 : b] : ((? [X13 : b,X14 : b,X10 : b,X11 : b,X12 : b,X15 : b] : (((cP @ X14 @ X15) = X7) & ($true = (X6 @ X11 @ X12 @ X14)) & ((X6 @ X13 @ X10 @ X15) = $true) & ((cP @ X12 @ X10) = X9) & ((cP @ X11 @ X13) = X8)) | ((c0 = X8) & (X7 = X9)) | ((c0 = X9) & (X7 = X8))) => ($true = (X6 @ X8 @ X9 @ X7))) => ((X6 @ X4 @ X5 @ X3) = $true)) & ((X1 @ X2 @ X4) = $true) & ((X1 @ X2 @ X5) = $true)) => ((X1 @ X2 @ X3) = $true)) & ((X1 @ X2 @ c0) = $true))) => ! [X28 : c] : (! [X29 : b,X30 : b] : ((! [X32 : b > b > b > $o] : (! [X34 : b,X33 : b,X35 : b] : ((((c0 = X33) & (X34 = X35)) | ((X33 = X35) & (c0 = X34)) | ? [X38 : b,X40 : b,X36 : b,X39 : b,X37 : b,X41 : b] : (((X32 @ X40 @ X38 @ X41) = $true) & ((cP @ X38 @ X36) = X34) & ((cP @ X41 @ X39) = X35) & ((cP @ X40 @ X37) = X33) & ((X32 @ X37 @ X36 @ X39) = $true))) => ($true = (X32 @ X33 @ X34 @ X35))) => ((X32 @ X29 @ X30 @ X30) = $true)) & ! [X31 : c > b > $o] : (((X0 @ X31) = $true) => ((X31 @ X28 @ X30) = $true))) => ! [X42 : c > b > $o] : (($true = (X0 @ X42)) => ((X42 @ X28 @ X29) = $true))) & ! [X59 : c > b > $o] : (($true = (X0 @ X59)) => ((X59 @ X28 @ c0) = $true)) & ! [X45 : b,X44 : b,X43 : b] : ((! [X57 : c > b > $o] : (((X0 @ X57) = $true) => ((X57 @ X28 @ X43) = $true)) & ! [X46 : c > b > $o] : (((X0 @ X46) = $true) => ((X46 @ X28 @ X44) = $true)) & ! [X47 : b > b > b > $o] : (! [X50 : b,X49 : b,X48 : b] : ((((c0 = X48) & (X49 = X50)) | ((c0 = X50) & (X48 = X49)) | ? [X54 : b,X51 : b,X56 : b,X55 : b,X52 : b,X53 : b] : (($true = (X47 @ X53 @ X52 @ X51)) & ((cP @ X51 @ X54) = X49) & ($true = (X47 @ X56 @ X55 @ X54)) & ((cP @ X53 @ X56) = X48) & ((cP @ X52 @ X55) = X50))) => ($true = (X47 @ X48 @ X50 @ X49))) => ($true = (X47 @ X43 @ X44 @ X45)))) => ! [X58 : c > b > $o] : (($true = (X0 @ X58)) => ($true = (X58 @ X28 @ X45))))))),
% 157.07/23.82 inference(true_and_false_elimination,[status(thm)],[f5])).
% 157.07/23.82 thf(f5,plain,(
% 157.07/23.82 ~! [X0 : (c > b > $o) > $o] : (! [X1 : c > b > $o] : (((X0 @ X1) = $true) => ! [X2 : c] : (((X1 @ X2 @ c0) = $true) & ! [X3 : b,X4 : b,X5 : b] : ((! [X6 : b > b > b > $o] : ((! [X8 : b,X9 : b,X7 : b] : ((? [X13 : b,X14 : b,X10 : b,X11 : b,X12 : b,X15 : b] : (((cP @ X14 @ X15) = X7) & ($true = (X6 @ X11 @ X12 @ X14)) & ((X6 @ X13 @ X10 @ X15) = $true) & ((cP @ X12 @ X10) = X9) & ((cP @ X11 @ X13) = X8)) | ((c0 = X8) & (X7 = X9)) | ((c0 = X9) & (X7 = X8))) => ($true = (X6 @ X8 @ X9 @ X7))) & $true) => ((X6 @ X4 @ X5 @ X3) = $true)) & ((X1 @ X2 @ X5) = $true) & ((X1 @ X2 @ X4) = $true)) => ((X1 @ X2 @ X3) = $true)) & ! [X16 : b,X17 : b] : ((! [X18 : b > b > b > $o] : (($true & ! [X19 : b,X20 : b,X21 : b] : ((((X19 = X20) & (c0 = X21)) | ((c0 = X20) & (X19 = X21)) | ? [X27 : b,X26 : b,X24 : b,X22 : b,X25 : b,X23 : b] : (((cP @ X25 @ X27) = X21) & ((cP @ X22 @ X26) = X20) & ((X18 @ X27 @ X26 @ X23) = $true) & ((cP @ X24 @ X23) = X19) & ((X18 @ X25 @ X22 @ X24) = $true))) => ($true = (X18 @ X21 @ X20 @ X19)))) => ((X18 @ X16 @ X17 @ X17) = $true)) & ($true = (X1 @ X2 @ X17))) => ((X1 @ X2 @ X16) = $true)))) => ! [X28 : c] : (! [X29 : b,X30 : b] : ((! [X31 : c > b > $o] : (((X0 @ X31) = $true) => ((X31 @ X28 @ X30) = $true)) & ! [X32 : b > b > b > $o] : ((! [X34 : b,X33 : b,X35 : b] : ((((c0 = X33) & (X34 = X35)) | ((X33 = X35) & (c0 = X34)) | ? [X38 : b,X40 : b,X36 : b,X39 : b,X37 : b,X41 : b] : (((X32 @ X40 @ X38 @ X41) = $true) & ((cP @ X38 @ X36) = X34) & ((cP @ X41 @ X39) = X35) & ((cP @ X40 @ X37) = X33) & ((X32 @ X37 @ X36 @ X39) = $true))) => ($true = (X32 @ X33 @ X34 @ X35))) & $true) => ((X32 @ X29 @ X30 @ X30) = $true))) => ! [X42 : c > b > $o] : (($true = (X0 @ X42)) => ((X42 @ X28 @ X29) = $true))) & ! [X43 : b,X44 : b,X45 : b] : ((! [X46 : c > b > $o] : (((X0 @ X46) = $true) => ((X46 @ X28 @ X44) = $true)) & ! [X47 : b > b > b > $o] : (($true & ! [X50 : b,X49 : b,X48 : b] : ((((c0 = X48) & (X49 = X50)) | ((c0 = X50) & (X48 = X49)) | ? [X54 : b,X51 : b,X56 : b,X55 : b,X52 : b,X53 : b] : (($true = (X47 @ X53 @ X52 @ X51)) & ((cP @ X51 @ X54) = X49) & ($true = (X47 @ X56 @ X55 @ X54)) & ((cP @ X53 @ X56) = X48) & ((cP @ X52 @ X55) = X50))) => ($true = (X47 @ X48 @ X50 @ X49)))) => ($true = (X47 @ X43 @ X44 @ X45))) & ! [X57 : c > b > $o] : (((X0 @ X57) = $true) => ((X57 @ X28 @ X43) = $true))) => ! [X58 : c > b > $o] : (($true = (X0 @ X58)) => ($true = (X58 @ X28 @ X45)))) & ! [X59 : c > b > $o] : (($true = (X0 @ X59)) => ((X59 @ X28 @ c0) = $true))))),
% 157.07/23.82 inference(fool_elimination,[status(thm)],[f4])).
% 157.07/23.82 thf(f4,plain,(
% 157.07/23.82 ~! [X0 : (c > b > $o) > $o] : (! [X1 : c > b > $o] : ((X0 @ X1) => ! [X2 : c] : ((X1 @ X2 @ c0) & ! [X3 : b,X4 : b,X5 : b] : ((! [X6 : b > b > b > $o] : ((! [X7 : b,X8 : b,X9 : b] : ((? [X10 : b,X11 : b,X12 : b,X13 : b,X14 : b,X15 : b] : (((cP @ X12 @ X10) = X9) & ((cP @ X14 @ X15) = X7) & (X6 @ X13 @ X10 @ X15) & (X6 @ X11 @ X12 @ X14) & ((cP @ X11 @ X13) = X8)) | ((X7 = X8) & (c0 = X9)) | ((X7 = X9) & (c0 = X8))) => (X6 @ X8 @ X9 @ X7)) & $true) => (X6 @ X4 @ X5 @ X3)) & (X1 @ X2 @ X5) & (X1 @ X2 @ X4)) => (X1 @ X2 @ X3)) & ! [X16 : b,X17 : b] : ((! [X18 : b > b > b > $o] : (($true & ! [X19 : b,X20 : b,X21 : b] : ((((X19 = X20) & (c0 = X21)) | ? [X22 : b,X23 : b,X24 : b,X25 : b,X26 : b,X27 : b] : (((cP @ X22 @ X26) = X20) & ((cP @ X24 @ X23) = X19) & (X18 @ X27 @ X26 @ X23) & ((cP @ X25 @ X27) = X21) & (X18 @ X25 @ X22 @ X24)) | ((c0 = X20) & (X19 = X21))) => (X18 @ X21 @ X20 @ X19))) => (X18 @ X16 @ X17 @ X17)) & (X1 @ X2 @ X17)) => (X1 @ X2 @ X16)))) => ! [X28 : c] : (! [X29 : b,X30 : b] : ((! [X31 : c > b > $o] : ((X0 @ X31) => (X31 @ X28 @ X30)) & ! [X32 : b > b > b > $o] : ((! [X33 : b,X34 : b,X35 : b] : ((? [X36 : b,X37 : b,X38 : b,X39 : b,X40 : b,X41 : b] : ((X32 @ X40 @ X38 @ X41) & ((cP @ X41 @ X39) = X35) & ((cP @ X38 @ X36) = X34) & (X32 @ X37 @ X36 @ X39) & ((cP @ X40 @ X37) = X33)) | ((c0 = X33) & (X34 = X35)) | ((X33 = X35) & (c0 = X34))) => (X32 @ X33 @ X34 @ X35)) & $true) => (X32 @ X29 @ X30 @ X30))) => ! [X42 : c > b > $o] : ((X0 @ X42) => (X42 @ X28 @ X29))) & ! [X43 : b,X44 : b,X45 : b] : ((! [X46 : c > b > $o] : ((X0 @ X46) => (X46 @ X28 @ X44)) & ! [X47 : b > b > b > $o] : (($true & ! [X48 : b,X49 : b,X50 : b] : ((((X48 = X49) & (c0 = X50)) | ((X49 = X50) & (c0 = X48)) | ? [X51 : b,X52 : b,X53 : b,X54 : b,X55 : b,X56 : b] : ((X47 @ X56 @ X55 @ X54) & ((cP @ X51 @ X54) = X49) & ((cP @ X53 @ X56) = X48) & (X47 @ X53 @ X52 @ X51) & ((cP @ X52 @ X55) = X50))) => (X47 @ X48 @ X50 @ X49))) => (X47 @ X43 @ X44 @ X45)) & ! [X57 : c > b > $o] : ((X0 @ X57) => (X57 @ X28 @ X43))) => ! [X58 : c > b > $o] : ((X0 @ X58) => (X58 @ X28 @ X45))) & ! [X59 : c > b > $o] : ((X0 @ X59) => (X59 @ X28 @ c0))))),
% 157.07/23.82 inference(rectify,[status(thm)],[f2])).
% 157.07/23.82 thf(f2,negated_conjecture,(
% 157.07/23.82 ~! [X0 : (c > b > $o) > $o] : (! [X1 : c > b > $o] : ((X0 @ X1) => ! [X2 : c] : ((X1 @ X2 @ c0) & ! [X15 : b,X3 : b,X4 : b] : ((! [X5 : b > b > b > $o] : ((! [X8 : b,X6 : b,X7 : b] : ((? [X12 : b,X9 : b,X11 : b,X10 : b,X13 : b,X14 : b] : (((cP @ X11 @ X12) = X7) & ((cP @ X13 @ X14) = X8) & (X5 @ X10 @ X12 @ X14) & (X5 @ X9 @ X11 @ X13) & ((cP @ X9 @ X10) = X6)) | ((X6 = X8) & (c0 = X7)) | ((X7 = X8) & (c0 = X6))) => (X5 @ X6 @ X7 @ X8)) & $true) => (X5 @ X3 @ X4 @ X15)) & (X1 @ X2 @ X4) & (X1 @ X2 @ X3)) => (X1 @ X2 @ X15)) & ! [X3 : b,X4 : b] : ((! [X5 : b > b > b > $o] : (($true & ! [X8 : b,X7 : b,X6 : b] : ((((X7 = X8) & (c0 = X6)) | ? [X11 : b,X14 : b,X13 : b,X9 : b,X12 : b,X10 : b] : (((cP @ X11 @ X12) = X7) & ((cP @ X13 @ X14) = X8) & (X5 @ X10 @ X12 @ X14) & ((cP @ X9 @ X10) = X6) & (X5 @ X9 @ X11 @ X13)) | ((c0 = X7) & (X6 = X8))) => (X5 @ X6 @ X7 @ X8))) => (X5 @ X3 @ X4 @ X4)) & (X1 @ X2 @ X4)) => (X1 @ X2 @ X3)))) => ! [X2 : c] : (! [X1 : b,X4 : b] : ((! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X4)) & ! [X5 : b > b > b > $o] : ((! [X6 : b,X7 : b,X8 : b] : ((? [X12 : b,X10 : b,X11 : b,X14 : b,X9 : b,X13 : b] : ((X5 @ X9 @ X11 @ X13) & ((cP @ X13 @ X14) = X8) & ((cP @ X11 @ X12) = X7) & (X5 @ X10 @ X12 @ X14) & ((cP @ X9 @ X10) = X6)) | ((c0 = X6) & (X7 = X8)) | ((X6 = X8) & (c0 = X7))) => (X5 @ X6 @ X7 @ X8)) & $true) => (X5 @ X1 @ X4 @ X4))) => ! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X1))) & ! [X1 : b,X4 : b,X15 : b] : ((! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X4)) & ! [X5 : b > b > b > $o] : (($true & ! [X6 : b,X8 : b,X7 : b] : ((((X6 = X8) & (c0 = X7)) | ((X7 = X8) & (c0 = X6)) | ? [X13 : b,X11 : b,X9 : b,X14 : b,X12 : b,X10 : b] : ((X5 @ X10 @ X12 @ X14) & ((cP @ X13 @ X14) = X8) & ((cP @ X9 @ X10) = X6) & (X5 @ X9 @ X11 @ X13) & ((cP @ X11 @ X12) = X7))) => (X5 @ X6 @ X7 @ X8))) => (X5 @ X1 @ X4 @ X15)) & ! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X1))) => ! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X15))) & ! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ c0))))),
% 157.07/23.82 inference(negated_conjecture,[status(cth)],[f1])).
% 157.07/23.82 thf(f1,conjecture,(
% 157.07/23.82 ! [X0 : (c > b > $o) > $o] : (! [X1 : c > b > $o] : ((X0 @ X1) => ! [X2 : c] : ((X1 @ X2 @ c0) & ! [X15 : b,X3 : b,X4 : b] : ((! [X5 : b > b > b > $o] : ((! [X8 : b,X6 : b,X7 : b] : ((? [X12 : b,X9 : b,X11 : b,X10 : b,X13 : b,X14 : b] : (((cP @ X11 @ X12) = X7) & ((cP @ X13 @ X14) = X8) & (X5 @ X10 @ X12 @ X14) & (X5 @ X9 @ X11 @ X13) & ((cP @ X9 @ X10) = X6)) | ((X6 = X8) & (c0 = X7)) | ((X7 = X8) & (c0 = X6))) => (X5 @ X6 @ X7 @ X8)) & $true) => (X5 @ X3 @ X4 @ X15)) & (X1 @ X2 @ X4) & (X1 @ X2 @ X3)) => (X1 @ X2 @ X15)) & ! [X3 : b,X4 : b] : ((! [X5 : b > b > b > $o] : (($true & ! [X8 : b,X7 : b,X6 : b] : ((((X7 = X8) & (c0 = X6)) | ? [X11 : b,X14 : b,X13 : b,X9 : b,X12 : b,X10 : b] : (((cP @ X11 @ X12) = X7) & ((cP @ X13 @ X14) = X8) & (X5 @ X10 @ X12 @ X14) & ((cP @ X9 @ X10) = X6) & (X5 @ X9 @ X11 @ X13)) | ((c0 = X7) & (X6 = X8))) => (X5 @ X6 @ X7 @ X8))) => (X5 @ X3 @ X4 @ X4)) & (X1 @ X2 @ X4)) => (X1 @ X2 @ X3)))) => ! [X2 : c] : (! [X1 : b,X4 : b] : ((! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X4)) & ! [X5 : b > b > b > $o] : ((! [X6 : b,X7 : b,X8 : b] : ((? [X12 : b,X10 : b,X11 : b,X14 : b,X9 : b,X13 : b] : ((X5 @ X9 @ X11 @ X13) & ((cP @ X13 @ X14) = X8) & ((cP @ X11 @ X12) = X7) & (X5 @ X10 @ X12 @ X14) & ((cP @ X9 @ X10) = X6)) | ((c0 = X6) & (X7 = X8)) | ((X6 = X8) & (c0 = X7))) => (X5 @ X6 @ X7 @ X8)) & $true) => (X5 @ X1 @ X4 @ X4))) => ! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X1))) & ! [X1 : b,X4 : b,X15 : b] : ((! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X4)) & ! [X5 : b > b > b > $o] : (($true & ! [X6 : b,X8 : b,X7 : b] : ((((X6 = X8) & (c0 = X7)) | ((X7 = X8) & (c0 = X6)) | ? [X13 : b,X11 : b,X9 : b,X14 : b,X12 : b,X10 : b] : ((X5 @ X10 @ X12 @ X14) & ((cP @ X13 @ X14) = X8) & ((cP @ X9 @ X10) = X6) & (X5 @ X9 @ X11 @ X13) & ((cP @ X11 @ X12) = X7))) => (X5 @ X6 @ X7 @ X8))) => (X5 @ X1 @ X4 @ X15)) & ! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X1))) => ! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ X15))) & ! [X5 : c > b > $o] : ((X0 @ X5) => (X5 @ X2 @ c0))))),
% 157.07/23.82 file('/export/starexec/sandbox/tmp/tmp.7u86P8aq6a/DTF2THF_24928.p',cCS_DUC_RELNS_pme)).
% 157.07/23.82 thf(f1841,plain,(
% 157.07/23.82 spl34_29 | ~spl34_1 | ~spl34_32),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f1840,f426,f94,f404])).
% 157.07/23.82 thf(f94,definition,(
% 157.07/23.82 spl34_1 <=> ($true = (sP2 @ sK30 @ sK29))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_1])],[avatar_definition])).
% 157.07/23.82 thf(f1840,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != (sK29 @ X0))) ) | (~spl34_1 | ~spl34_32)),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1839])).
% 157.07/23.82 thf(f1839,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ($true != (sK29 @ X0)) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != $true) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true)) ) | (~spl34_1 | ~spl34_32)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f1838,f96])).
% 157.07/23.82 thf(f96,plain,(
% 157.07/23.82 ($true = (sP2 @ sK30 @ sK29)) | ~spl34_1),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f94])).
% 157.07/23.82 thf(f1838,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true != (sP2 @ sK30 @ sK29)) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true != (sK29 @ X0)) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29)))) ) | ~spl34_32),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1837])).
% 157.07/23.82 thf(f1837,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != (sK29 @ X0)) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true != $true) | ($true != (sP2 @ sK30 @ sK29))) ) | ~spl34_32),
% 157.07/23.82 inference(superposition,[status(thm)],[f68,f427])).
% 157.07/23.82 thf(f427,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) | ((sP2 @ X0 @ X1) != $true)) ) | ~spl34_32),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f426])).
% 157.07/23.82 thf(f68,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X18 : b,X19 : b,X4 : c,X17 : b] : (((sK33 @ X19 @ X18 @ X17 @ X18 @ X19 @ X17) != $true) | ($true != (X3 @ X4 @ X18)) | ($true != (sK29 @ X3)) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.82 thf(f1831,plain,(
% 157.07/23.82 ~spl34_19 | spl34_7 | ~spl34_10 | ~spl34_15),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f1830,f231,f207,f196,f260])).
% 157.07/23.82 thf(f260,definition,(
% 157.07/23.82 spl34_19 <=> ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ c0 @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_19])],[avatar_definition])).
% 157.07/23.82 thf(f196,definition,(
% 157.07/23.82 spl34_7 <=> ! [X0 : (c > b > $o) > $o,X1 : c] : (((sP3 @ X0 @ X1) != $true) | ($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK4 @ X0 @ X1) @ (sK5 @ X0 @ X1) @ (sK5 @ X0 @ X1))))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_7])],[avatar_definition])).
% 157.07/23.82 thf(f207,definition,(
% 157.07/23.82 spl34_10 <=> ((sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_10])],[avatar_definition])).
% 157.07/23.82 thf(f231,definition,(
% 157.07/23.82 spl34_15 <=> (c0 = (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_15])],[avatar_definition])).
% 157.07/23.82 thf(f1830,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c] : (((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ c0 @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | ((sP3 @ X0 @ X1) != $true) | ($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK4 @ X0 @ X1) @ (sK5 @ X0 @ X1) @ (sK5 @ X0 @ X1)))) ) | (~spl34_10 | ~spl34_15)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f1829,f233])).
% 157.07/23.82 thf(f233,plain,(
% 157.07/23.82 (c0 = (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) | ~spl34_15),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f231])).
% 157.07/23.82 thf(f1829,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c] : (($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK4 @ X0 @ X1) @ (sK5 @ X0 @ X1) @ (sK5 @ X0 @ X1))) | ($true != (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))) | ((sP3 @ X0 @ X1) != $true)) ) | ~spl34_10),
% 157.07/23.82 inference(superposition,[status(thm)],[f45,f209])).
% 157.07/23.82 thf(f209,plain,(
% 157.07/23.82 ((sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) | ~spl34_10),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f207])).
% 157.07/23.82 thf(f45,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o,X6 : b > b > b > $o] : (($true != (sP3 @ X1 @ X0)) | ($true != (X6 @ (sK7 @ X6) @ (sK9 @ X6) @ (sK8 @ X6))) | ((X6 @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0)) = $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f19])).
% 157.07/23.82 thf(f19,plain,(
% 157.07/23.82 ! [X0 : c,X1 : (c > b > $o) > $o] : (((((sK6 @ X1 @ X0 @ X0 @ (sK4 @ X1 @ X0)) != $true) & ((X1 @ (sK6 @ X1 @ X0)) = $true)) & ! [X5 : c > b > $o] : (((X1 @ X5) != $true) | ($true = (X5 @ X0 @ (sK5 @ X1 @ X0)))) & ! [X6 : b > b > b > $o] : ((($true != (X6 @ (sK7 @ X6) @ (sK9 @ X6) @ (sK8 @ X6))) & (((c0 = (sK7 @ X6)) & ((sK9 @ X6) = (sK8 @ X6))) | (((sK7 @ X6) = (sK8 @ X6)) & (c0 = (sK9 @ X6))) | ((sP0 @ (sK7 @ X6) @ (sK8 @ X6) @ (sK9 @ X6) @ X6) = $true))) | ((X6 @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0)) = $true))) | ($true != (sP3 @ X1 @ X0)))),
% 157.07/23.82 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f15,f18,f17,f16])).
% 157.07/23.82 thf(f16,plain,(
% 157.07/23.82 ! [X0 : c,X1 : (c > b > $o) > $o] : (? [X2 : b,X3 : b] : (? [X4 : c > b > $o] : (((X4 @ X0 @ X2) != $true) & ($true = (X1 @ X4))) & ! [X5 : c > b > $o] : (((X1 @ X5) != $true) | ((X5 @ X0 @ X3) = $true)) & ! [X6 : b > b > b > $o] : (? [X7 : b,X8 : b,X9 : b] : (($true != (X6 @ X7 @ X9 @ X8)) & (((c0 = X7) & (X8 = X9)) | ((X7 = X8) & (c0 = X9)) | ($true = (sP0 @ X7 @ X8 @ X9 @ X6)))) | ($true = (X6 @ X2 @ X3 @ X3)))) => (? [X4 : c > b > $o] : (($true != (X4 @ X0 @ (sK4 @ X1 @ X0))) & ($true = (X1 @ X4))) & ! [X5 : c > b > $o] : (((X1 @ X5) != $true) | ($true = (X5 @ X0 @ (sK5 @ X1 @ X0)))) & ! [X6 : b > b > b > $o] : (? [X7 : b,X8 : b,X9 : b] : (($true != (X6 @ X7 @ X9 @ X8)) & (((c0 = X7) & (X8 = X9)) | ((X7 = X8) & (c0 = X9)) | ($true = (sP0 @ X7 @ X8 @ X9 @ X6)))) | ((X6 @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0)) = $true))))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f17,plain,(
% 157.07/23.82 ! [X0 : c,X1 : (c > b > $o) > $o] : (? [X4 : c > b > $o] : (($true != (X4 @ X0 @ (sK4 @ X1 @ X0))) & ($true = (X1 @ X4))) => (((sK6 @ X1 @ X0 @ X0 @ (sK4 @ X1 @ X0)) != $true) & ((X1 @ (sK6 @ X1 @ X0)) = $true)))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f18,plain,(
% 157.07/23.82 ! [X6 : b > b > b > $o] : (? [X7 : b,X8 : b,X9 : b] : (($true != (X6 @ X7 @ X9 @ X8)) & (((c0 = X7) & (X8 = X9)) | ((X7 = X8) & (c0 = X9)) | ($true = (sP0 @ X7 @ X8 @ X9 @ X6)))) => (($true != (X6 @ (sK7 @ X6) @ (sK9 @ X6) @ (sK8 @ X6))) & (((c0 = (sK7 @ X6)) & ((sK9 @ X6) = (sK8 @ X6))) | (((sK7 @ X6) = (sK8 @ X6)) & (c0 = (sK9 @ X6))) | ((sP0 @ (sK7 @ X6) @ (sK8 @ X6) @ (sK9 @ X6) @ X6) = $true))))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f15,plain,(
% 157.07/23.82 ! [X0 : c,X1 : (c > b > $o) > $o] : (? [X2 : b,X3 : b] : (? [X4 : c > b > $o] : (((X4 @ X0 @ X2) != $true) & ($true = (X1 @ X4))) & ! [X5 : c > b > $o] : (((X1 @ X5) != $true) | ((X5 @ X0 @ X3) = $true)) & ! [X6 : b > b > b > $o] : (? [X7 : b,X8 : b,X9 : b] : (($true != (X6 @ X7 @ X9 @ X8)) & (((c0 = X7) & (X8 = X9)) | ((X7 = X8) & (c0 = X9)) | ($true = (sP0 @ X7 @ X8 @ X9 @ X6)))) | ($true = (X6 @ X2 @ X3 @ X3)))) | ($true != (sP3 @ X1 @ X0)))),
% 157.07/23.82 inference(rectify,[status(thm)],[f14])).
% 157.07/23.82 thf(f14,plain,(
% 157.07/23.82 ! [X28 : c,X0 : (c > b > $o) > $o] : (? [X29 : b,X30 : b] : (? [X42 : c > b > $o] : (((X42 @ X28 @ X29) != $true) & ($true = (X0 @ X42))) & ! [X31 : c > b > $o] : (((X0 @ X31) != $true) | ((X31 @ X28 @ X30) = $true)) & ! [X32 : b > b > b > $o] : (? [X33 : b,X35 : b,X34 : b] : (($true != (X32 @ X33 @ X34 @ X35)) & (((c0 = X33) & (X34 = X35)) | ((X33 = X35) & (c0 = X34)) | ($true = (sP0 @ X33 @ X35 @ X34 @ X32)))) | ((X32 @ X29 @ X30 @ X30) = $true))) | ((sP3 @ X0 @ X28) != $true))),
% 157.07/23.82 inference(nnf_transformation,[status(thm)],[f12])).
% 157.07/23.82 thf(f1639,plain,(
% 157.07/23.82 ~spl34_59 | ~spl34_1 | spl34_58),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f1634,f692,f94,f710])).
% 157.07/23.82 thf(f710,definition,(
% 157.07/23.82 spl34_59 <=> ((sK29 @ (sK16 @ sK30 @ sK29)) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_59])],[avatar_definition])).
% 157.07/23.82 thf(f692,definition,(
% 157.07/23.82 spl34_58 <=> ((sK16 @ sK30 @ sK29 @ sK30 @ (sK10 @ sK30 @ sK29)) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_58])],[avatar_definition])).
% 157.07/23.82 thf(f1634,plain,(
% 157.07/23.82 ((sK29 @ (sK16 @ sK30 @ sK29)) != $true) | (~spl34_1 | spl34_58)),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1633])).
% 157.07/23.82 thf(f1633,plain,(
% 157.07/23.82 ($true != $true) | ((sK29 @ (sK16 @ sK30 @ sK29)) != $true) | (~spl34_1 | spl34_58)),
% 157.07/23.82 inference(superposition,[status(thm)],[f694,f1609])).
% 157.07/23.82 thf(f1609,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o] : (($true = (X0 @ sK30 @ (sK10 @ sK30 @ sK29))) | ($true != (sK29 @ X0))) ) | ~spl34_1),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1603])).
% 157.07/23.82 thf(f1603,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o] : (($true != (sK29 @ X0)) | ($true = (X0 @ sK30 @ (sK10 @ sK30 @ sK29))) | ($true != $true)) ) | ~spl34_1),
% 157.07/23.82 inference(superposition,[status(thm)],[f56,f96])).
% 157.07/23.82 thf(f56,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c,X6 : c > b > $o] : (($true != (X0 @ X6)) | ((sP2 @ X1 @ X0) != $true) | ((X6 @ X1 @ (sK10 @ X1 @ X0)) = $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f25])).
% 157.07/23.82 thf(f694,plain,(
% 157.07/23.82 ((sK16 @ sK30 @ sK29 @ sK30 @ (sK10 @ sK30 @ sK29)) != $true) | spl34_58),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f692])).
% 157.07/23.82 thf(f1625,plain,(
% 157.07/23.82 ~spl34_57 | ~spl34_58 | ~spl34_1 | ~spl34_29 | ~spl34_59),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f1624,f710,f404,f94,f692,f688])).
% 157.07/23.82 thf(f688,definition,(
% 157.07/23.82 spl34_57 <=> ($true = (sK16 @ sK30 @ sK29 @ sK30 @ (sK11 @ sK30 @ sK29)))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_57])],[avatar_definition])).
% 157.07/23.82 thf(f1624,plain,(
% 157.07/23.82 ((sK16 @ sK30 @ sK29 @ sK30 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != (sK16 @ sK30 @ sK29 @ sK30 @ (sK11 @ sK30 @ sK29))) | (~spl34_1 | ~spl34_29 | ~spl34_59)),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1623])).
% 157.07/23.82 thf(f1623,plain,(
% 157.07/23.82 ($true != $true) | ($true != (sK16 @ sK30 @ sK29 @ sK30 @ (sK11 @ sK30 @ sK29))) | ((sK16 @ sK30 @ sK29 @ sK30 @ (sK10 @ sK30 @ sK29)) != $true) | (~spl34_1 | ~spl34_29 | ~spl34_59)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f1622,f711])).
% 157.07/23.82 thf(f711,plain,(
% 157.07/23.82 ((sK29 @ (sK16 @ sK30 @ sK29)) = $true) | ~spl34_59),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f710])).
% 157.07/23.82 thf(f1622,plain,(
% 157.07/23.82 ((sK29 @ (sK16 @ sK30 @ sK29)) != $true) | ((sK16 @ sK30 @ sK29 @ sK30 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != (sK16 @ sK30 @ sK29 @ sK30 @ (sK11 @ sK30 @ sK29))) | (~spl34_1 | ~spl34_29)),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1621])).
% 157.07/23.82 thf(f1621,plain,(
% 157.07/23.82 ((sK16 @ sK30 @ sK29 @ sK30 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != $true) | ((sK29 @ (sK16 @ sK30 @ sK29)) != $true) | ($true != (sK16 @ sK30 @ sK29 @ sK30 @ (sK11 @ sK30 @ sK29))) | (~spl34_1 | ~spl34_29)),
% 157.07/23.82 inference(superposition,[status(thm)],[f1611,f405])).
% 157.07/23.82 thf(f405,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ($true != (sK29 @ X0)) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true)) ) | ~spl34_29),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f404])).
% 157.07/23.82 thf(f1611,plain,(
% 157.07/23.82 ($true != (sK16 @ sK30 @ sK29 @ sK30 @ (sK12 @ sK30 @ sK29))) | ~spl34_1),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1597])).
% 157.07/23.82 thf(f1597,plain,(
% 157.07/23.82 ($true != (sK16 @ sK30 @ sK29 @ sK30 @ (sK12 @ sK30 @ sK29))) | ($true != $true) | ~spl34_1),
% 157.07/23.82 inference(superposition,[status(thm)],[f50,f96])).
% 157.07/23.82 thf(f50,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c] : (((sK16 @ X1 @ X0 @ X1 @ (sK12 @ X1 @ X0)) != $true) | ((sP2 @ X1 @ X0) != $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f25])).
% 157.07/23.82 thf(f1614,plain,(
% 157.07/23.82 spl34_59 | ~spl34_1),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f1607,f94,f710])).
% 157.07/23.82 thf(f1607,plain,(
% 157.07/23.82 ((sK29 @ (sK16 @ sK30 @ sK29)) = $true) | ~spl34_1),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1596])).
% 157.07/23.82 thf(f1596,plain,(
% 157.07/23.82 ($true != $true) | ((sK29 @ (sK16 @ sK30 @ sK29)) = $true) | ~spl34_1),
% 157.07/23.82 inference(superposition,[status(thm)],[f49,f96])).
% 157.07/23.82 thf(f49,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c] : (((X0 @ (sK16 @ X1 @ X0)) = $true) | ((sP2 @ X1 @ X0) != $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f25])).
% 157.07/23.82 thf(f1556,plain,(
% 157.07/23.82 spl34_6 | ~spl34_8 | ~spl34_8 | ~spl34_88),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f1555,f1522,f199,f199,f167])).
% 157.07/23.82 thf(f167,definition,(
% 157.07/23.82 spl34_6 <=> ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_6])],[avatar_definition])).
% 157.07/23.82 thf(f199,definition,(
% 157.07/23.82 spl34_8 <=> ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_8])],[avatar_definition])).
% 157.07/23.82 thf(f1522,definition,(
% 157.07/23.82 spl34_88 <=> ! [X0 : b,X1 : b] : (((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ X0 @ X1 @ (sK28 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (cP @ X0 @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (cP @ X1 @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_88])],[avatar_definition])).
% 157.07/23.82 thf(f1555,plain,(
% 157.07/23.82 ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true) | ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) != $true) | (~spl34_8 | ~spl34_88)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f1551,f959])).
% 157.07/23.82 thf(f959,plain,(
% 157.07/23.82 ((cP @ (sK24 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) | ~spl34_8),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f954])).
% 157.07/23.82 thf(f954,plain,(
% 157.07/23.82 ((cP @ (sK24 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) | ($true != $true) | ~spl34_8),
% 157.07/23.82 inference(superposition,[status(thm)],[f64,f201])).
% 157.07/23.82 thf(f201,plain,(
% 157.07/23.82 ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = $true) | ~spl34_8),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f199])).
% 157.07/23.82 thf(f64,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (((sP0 @ X3 @ X2 @ X1 @ X0) != $true) | ((cP @ (sK24 @ X3 @ X2 @ X1 @ X0) @ (sK27 @ X3 @ X2 @ X1 @ X0)) = X3)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f33])).
% 157.07/23.82 thf(f33,plain,(
% 157.07/23.82 ! [X0 : b > b > b > $o,X1 : b,X2 : b,X3 : b] : ((((X0 @ (sK24 @ X3 @ X2 @ X1 @ X0) @ (sK23 @ X3 @ X2 @ X1 @ X0) @ (sK28 @ X3 @ X2 @ X1 @ X0)) = $true) & ((cP @ (sK23 @ X3 @ X2 @ X1 @ X0) @ (sK25 @ X3 @ X2 @ X1 @ X0)) = X1) & ((cP @ (sK28 @ X3 @ X2 @ X1 @ X0) @ (sK26 @ X3 @ X2 @ X1 @ X0)) = X2) & ((cP @ (sK24 @ X3 @ X2 @ X1 @ X0) @ (sK27 @ X3 @ X2 @ X1 @ X0)) = X3) & ((X0 @ (sK27 @ X3 @ X2 @ X1 @ X0) @ (sK25 @ X3 @ X2 @ X1 @ X0) @ (sK26 @ X3 @ X2 @ X1 @ X0)) = $true)) | ((sP0 @ X3 @ X2 @ X1 @ X0) != $true))),
% 157.07/23.82 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27,sK28])],[f31,f32])).
% 157.07/23.82 thf(f32,plain,(
% 157.07/23.82 ! [X0 : b > b > b > $o,X1 : b,X2 : b,X3 : b] : (? [X4 : b,X5 : b,X6 : b,X7 : b,X8 : b,X9 : b] : (((X0 @ X5 @ X4 @ X9) = $true) & ((cP @ X4 @ X6) = X1) & ((cP @ X9 @ X7) = X2) & ((cP @ X5 @ X8) = X3) & ((X0 @ X8 @ X6 @ X7) = $true)) => (((X0 @ (sK24 @ X3 @ X2 @ X1 @ X0) @ (sK23 @ X3 @ X2 @ X1 @ X0) @ (sK28 @ X3 @ X2 @ X1 @ X0)) = $true) & ((cP @ (sK23 @ X3 @ X2 @ X1 @ X0) @ (sK25 @ X3 @ X2 @ X1 @ X0)) = X1) & ((cP @ (sK28 @ X3 @ X2 @ X1 @ X0) @ (sK26 @ X3 @ X2 @ X1 @ X0)) = X2) & ((cP @ (sK24 @ X3 @ X2 @ X1 @ X0) @ (sK27 @ X3 @ X2 @ X1 @ X0)) = X3) & ((X0 @ (sK27 @ X3 @ X2 @ X1 @ X0) @ (sK25 @ X3 @ X2 @ X1 @ X0) @ (sK26 @ X3 @ X2 @ X1 @ X0)) = $true)))),
% 157.07/23.82 introduced(definition,[],[choice_axiom])).
% 157.07/23.82 thf(f31,plain,(
% 157.07/23.82 ! [X0 : b > b > b > $o,X1 : b,X2 : b,X3 : b] : (? [X4 : b,X5 : b,X6 : b,X7 : b,X8 : b,X9 : b] : (((X0 @ X5 @ X4 @ X9) = $true) & ((cP @ X4 @ X6) = X1) & ((cP @ X9 @ X7) = X2) & ((cP @ X5 @ X8) = X3) & ((X0 @ X8 @ X6 @ X7) = $true)) | ((sP0 @ X3 @ X2 @ X1 @ X0) != $true))),
% 157.07/23.82 inference(rectify,[status(thm)],[f30])).
% 157.07/23.82 thf(f30,plain,(
% 157.07/23.82 ! [X32 : b > b > b > $o,X34 : b,X35 : b,X33 : b] : (? [X38 : b,X40 : b,X36 : b,X39 : b,X37 : b,X41 : b] : (((X32 @ X40 @ X38 @ X41) = $true) & ((cP @ X38 @ X36) = X34) & ((cP @ X41 @ X39) = X35) & ((cP @ X40 @ X37) = X33) & ((X32 @ X37 @ X36 @ X39) = $true)) | ($true != (sP0 @ X33 @ X35 @ X34 @ X32)))),
% 157.07/23.82 inference(nnf_transformation,[status(thm)],[f9])).
% 157.07/23.82 thf(f1551,plain,(
% 157.07/23.82 ($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (cP @ (sK24 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))) | ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) != $true) | (~spl34_8 | ~spl34_88)),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1550])).
% 157.07/23.82 thf(f1550,plain,(
% 157.07/23.82 ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) != $true) | ($true != $true) | ($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (cP @ (sK24 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))) | (~spl34_8 | ~spl34_88)),
% 157.07/23.82 inference(superposition,[status(thm)],[f1525,f67])).
% 157.07/23.82 thf(f67,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (((X0 @ (sK24 @ X3 @ X2 @ X1 @ X0) @ (sK23 @ X3 @ X2 @ X1 @ X0) @ (sK28 @ X3 @ X2 @ X1 @ X0)) = $true) | ((sP0 @ X3 @ X2 @ X1 @ X0) != $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f33])).
% 157.07/23.82 thf(f1525,plain,(
% 157.07/23.82 ( ! [X0 : b] : (($true != (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ X0 @ (sK23 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK28 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (cP @ X0 @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true)) ) | (~spl34_8 | ~spl34_88)),
% 157.07/23.82 inference(superposition,[status(thm)],[f1523,f957])).
% 157.07/23.82 thf(f957,plain,(
% 157.07/23.82 ((sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = (cP @ (sK23 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))) | ~spl34_8),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f952])).
% 157.07/23.82 thf(f952,plain,(
% 157.07/23.82 ($true != $true) | ((sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = (cP @ (sK23 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))) | ~spl34_8),
% 157.07/23.82 inference(superposition,[status(thm)],[f66,f201])).
% 157.07/23.82 thf(f66,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (((sP0 @ X3 @ X2 @ X1 @ X0) != $true) | ((cP @ (sK23 @ X3 @ X2 @ X1 @ X0) @ (sK25 @ X3 @ X2 @ X1 @ X0)) = X1)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f33])).
% 157.07/23.82 thf(f1523,plain,(
% 157.07/23.82 ( ! [X0 : b,X1 : b] : (((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (cP @ X0 @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (cP @ X1 @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ X0 @ X1 @ (sK28 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true)) ) | ~spl34_88),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f1522])).
% 157.07/23.82 thf(f1524,plain,(
% 157.07/23.82 spl34_88 | spl34_5 | ~spl34_8),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f1520,f199,f164,f1522])).
% 157.07/23.82 thf(f164,definition,(
% 157.07/23.82 spl34_5 <=> ! [X0 : c > b > $o,X1 : c] : (($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30))) | ($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30))) | ($true != (sK29 @ X0)))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_5])],[avatar_definition])).
% 157.07/23.82 thf(f1520,plain,(
% 157.07/23.82 ( ! [X2 : c > b > $o,X3 : c,X0 : b,X1 : b] : (((X2 @ X3 @ (sK4 @ sK29 @ sK30)) = $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ X0 @ X1 @ (sK28 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | ((X2 @ X3 @ (sK5 @ sK29 @ sK30)) != $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (cP @ X0 @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (cP @ X1 @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true) | ($true != (sK29 @ X2))) ) | ~spl34_8),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1519])).
% 157.07/23.82 thf(f1519,plain,(
% 157.07/23.82 ( ! [X2 : c > b > $o,X3 : c,X0 : b,X1 : b] : (($true != $true) | ((X2 @ X3 @ (sK4 @ sK29 @ sK30)) = $true) | ($true != (sK29 @ X2)) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ X0 @ X1 @ (sK28 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | ((X2 @ X3 @ (sK5 @ sK29 @ sK30)) != $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (cP @ X0 @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (cP @ X1 @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true)) ) | ~spl34_8),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f1516,f201])).
% 157.07/23.82 thf(f1516,plain,(
% 157.07/23.82 ( ! [X2 : c > b > $o,X3 : c,X0 : b,X1 : b] : (((X2 @ X3 @ (sK4 @ sK29 @ sK30)) = $true) | ((X2 @ X3 @ (sK5 @ sK29 @ sK30)) != $true) | ($true != (sK29 @ X2)) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ X0 @ X1 @ (sK28 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) != $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (cP @ X0 @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (cP @ X1 @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true)) ) | ~spl34_8),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f1510])).
% 157.07/23.82 thf(f1510,plain,(
% 157.07/23.82 ( ! [X2 : c > b > $o,X3 : c,X0 : b,X1 : b] : (((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (cP @ X0 @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (cP @ X1 @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true) | ((X2 @ X3 @ (sK4 @ sK29 @ sK30)) = $true) | ($true != (sK29 @ X2)) | ($true != $true) | ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) != $true) | ((X2 @ X3 @ (sK5 @ sK29 @ sK30)) != $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ X0 @ X1 @ (sK28 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true)) ) | ~spl34_8),
% 157.07/23.82 inference(superposition,[status(thm)],[f1039,f958])).
% 157.07/23.82 thf(f958,plain,(
% 157.07/23.82 ($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK26 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))) | ~spl34_8),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f950])).
% 157.07/23.82 thf(f950,plain,(
% 157.07/23.82 ($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK27 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK25 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK26 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))) | ($true != $true) | ~spl34_8),
% 157.07/23.82 inference(superposition,[status(thm)],[f63,f201])).
% 157.07/23.82 thf(f63,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (((X0 @ (sK27 @ X3 @ X2 @ X1 @ X0) @ (sK25 @ X3 @ X2 @ X1 @ X0) @ (sK26 @ X3 @ X2 @ X1 @ X0)) = $true) | ((sP0 @ X3 @ X2 @ X1 @ X0) != $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f33])).
% 157.07/23.82 thf(f1039,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b > b > b > $o,X10 : c > b > $o,X0 : b,X11 : c,X1 : b,X8 : b,X6 : b,X9 : b,X7 : b,X4 : b,X5 : b] : (($true != (sK32 @ X4 @ X5 @ X7 @ X9 @ (sK26 @ X0 @ X1 @ X2 @ X3))) | ((sK32 @ X4 @ X5 @ X6 @ X8 @ (sK28 @ X0 @ X1 @ X2 @ X3)) != $true) | ((sK32 @ X4 @ X5 @ (cP @ X6 @ X7) @ (cP @ X8 @ X9) @ X1) = $true) | ((sP0 @ X0 @ X1 @ X2 @ X3) != $true) | ((X10 @ X11 @ X5) != $true) | ($true = (X10 @ X11 @ X4)) | ((sK29 @ X10) != $true)) )),
% 157.07/23.82 inference(superposition,[status(thm)],[f85,f65])).
% 157.07/23.82 thf(f65,plain,(
% 157.07/23.82 ( ! [X2 : b,X3 : b,X0 : b > b > b > $o,X1 : b] : (((sP0 @ X3 @ X2 @ X1 @ X0) != $true) | ((cP @ (sK28 @ X3 @ X2 @ X1 @ X0) @ (sK26 @ X3 @ X2 @ X1 @ X0)) = X2)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f33])).
% 157.07/23.82 thf(f85,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X11 : b,X6 : b,X16 : b,X14 : b,X4 : c,X15 : b,X5 : b,X12 : b,X13 : b] : (($true = (sK32 @ X6 @ X5 @ (cP @ X14 @ X12) @ (cP @ X16 @ X11) @ (cP @ X15 @ X13))) | ((sK32 @ X6 @ X5 @ X14 @ X16 @ X15) != $true) | ($true != (sK32 @ X6 @ X5 @ X12 @ X11 @ X13)) | ($true != (sK29 @ X3)) | ((X3 @ X4 @ X5) != $true) | ((X3 @ X4 @ X6) = $true)) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f84])).
% 157.07/23.82 thf(f84,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X10 : b,X11 : b,X6 : b,X16 : b,X14 : b,X4 : c,X15 : b,X5 : b,X12 : b,X13 : b] : (((X3 @ X4 @ X5) != $true) | ($true != (sK32 @ X6 @ X5 @ X12 @ X11 @ X13)) | ((sK32 @ X6 @ X5 @ X14 @ X16 @ X15) != $true) | ((cP @ X15 @ X13) != X10) | ((sK32 @ X6 @ X5 @ (cP @ X14 @ X12) @ (cP @ X16 @ X11) @ X10) = $true) | ((X3 @ X4 @ X6) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f83])).
% 157.07/23.82 thf(f83,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X10 : b,X11 : b,X6 : b,X9 : b,X16 : b,X14 : b,X4 : c,X15 : b,X5 : b,X12 : b,X13 : b] : (((X3 @ X4 @ X5) != $true) | ($true != (sK32 @ X6 @ X5 @ X12 @ X11 @ X13)) | ((cP @ X14 @ X12) != X9) | ((sK32 @ X6 @ X5 @ X14 @ X16 @ X15) != $true) | ((cP @ X15 @ X13) != X10) | ((sK32 @ X6 @ X5 @ X9 @ (cP @ X16 @ X11) @ X10) = $true) | ((X3 @ X4 @ X6) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f73])).
% 157.07/23.82 thf(f73,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X10 : b,X11 : b,X8 : b,X6 : b,X9 : b,X16 : b,X14 : b,X4 : c,X15 : b,X5 : b,X12 : b,X13 : b] : (((X3 @ X4 @ X5) != $true) | ((cP @ X16 @ X11) != X8) | ($true != (sK32 @ X6 @ X5 @ X12 @ X11 @ X13)) | ((cP @ X14 @ X12) != X9) | ((sK32 @ X6 @ X5 @ X14 @ X16 @ X15) != $true) | ((cP @ X15 @ X13) != X10) | ((sK32 @ X6 @ X5 @ X9 @ X8 @ X10) = $true) | ((X3 @ X4 @ X6) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.82 thf(f915,plain,(
% 157.07/23.82 spl34_8 | spl34_10 | spl34_7 | ~spl34_20 | spl34_9),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f909,f203,f271,f196,f207,f199])).
% 157.07/23.82 thf(f271,definition,(
% 157.07/23.82 spl34_20 <=> ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ c0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_20])],[avatar_definition])).
% 157.07/23.82 thf(f203,definition,(
% 157.07/23.82 spl34_9 <=> ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_9])],[avatar_definition])).
% 157.07/23.82 thf(f909,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c] : (((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ c0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | ($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK4 @ X0 @ X1) @ (sK5 @ X0 @ X1) @ (sK5 @ X0 @ X1))) | ((sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) | ((sP3 @ X0 @ X1) != $true) | ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = $true)) ) | spl34_9),
% 157.07/23.82 inference(superposition,[status(thm)],[f205,f41])).
% 157.07/23.82 thf(f41,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o,X6 : b > b > b > $o] : (((X6 @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0)) = $true) | ((sP0 @ (sK7 @ X6) @ (sK8 @ X6) @ (sK9 @ X6) @ X6) = $true) | ($true != (sP3 @ X1 @ X0)) | (c0 = (sK9 @ X6)) | ((sK9 @ X6) = (sK8 @ X6))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f19])).
% 157.07/23.82 thf(f205,plain,(
% 157.07/23.82 ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | spl34_9),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f203])).
% 157.07/23.82 thf(f914,plain,(
% 157.07/23.82 spl34_7 | ~spl34_20 | spl34_8 | spl34_15 | spl34_9),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f910,f203,f231,f199,f271,f196])).
% 157.07/23.82 thf(f910,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c] : ((c0 = (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) | ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = $true) | ($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK4 @ X0 @ X1) @ (sK5 @ X0 @ X1) @ (sK5 @ X0 @ X1))) | ((sP3 @ X0 @ X1) != $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ c0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true)) ) | spl34_9),
% 157.07/23.82 inference(superposition,[status(thm)],[f205,f43])).
% 157.07/23.82 thf(f43,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o,X6 : b > b > b > $o] : (($true != (sP3 @ X1 @ X0)) | ((sP0 @ (sK7 @ X6) @ (sK8 @ X6) @ (sK9 @ X6) @ X6) = $true) | ((X6 @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0)) = $true) | (c0 = (sK7 @ X6)) | (c0 = (sK9 @ X6))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f19])).
% 157.07/23.82 thf(f860,plain,(
% 157.07/23.82 ~spl34_9 | spl34_10 | spl34_7 | spl34_8 | spl34_6),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f847,f167,f199,f196,f207,f203])).
% 157.07/23.82 thf(f847,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c] : (((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | ($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK4 @ X0 @ X1) @ (sK5 @ X0 @ X1) @ (sK5 @ X0 @ X1))) | ((sP3 @ X0 @ X1) != $true) | ((sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))))) ) | spl34_6),
% 157.07/23.82 inference(superposition,[status(thm)],[f169,f42])).
% 157.07/23.82 thf(f42,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o,X6 : b > b > b > $o] : (((sK9 @ X6) = (sK8 @ X6)) | ((sP0 @ (sK7 @ X6) @ (sK8 @ X6) @ (sK9 @ X6) @ X6) = $true) | ((sK7 @ X6) = (sK8 @ X6)) | ($true != (sP3 @ X1 @ X0)) | ((X6 @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0)) = $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f19])).
% 157.07/23.82 thf(f169,plain,(
% 157.07/23.82 ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | spl34_6),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f167])).
% 157.07/23.82 thf(f854,plain,(
% 157.07/23.82 spl34_7 | ~spl34_9 | spl34_8 | spl34_15 | spl34_6),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f846,f167,f231,f199,f203,f196])).
% 157.07/23.82 thf(f846,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c] : (($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK4 @ X0 @ X1) @ (sK5 @ X0 @ X1) @ (sK5 @ X0 @ X1))) | ((sP0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) = $true) | (c0 = (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) | ((sP3 @ X0 @ X1) != $true) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true)) ) | spl34_6),
% 157.07/23.82 inference(superposition,[status(thm)],[f169,f44])).
% 157.07/23.82 thf(f44,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o,X6 : b > b > b > $o] : (($true != (sP3 @ X1 @ X0)) | ((X6 @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0)) = $true) | ((sP0 @ (sK7 @ X6) @ (sK8 @ X6) @ (sK9 @ X6) @ X6) = $true) | ((sK7 @ X6) = (sK8 @ X6)) | (c0 = (sK7 @ X6))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f19])).
% 157.07/23.82 thf(f843,plain,(
% 157.07/23.82 spl34_5 | ~spl34_3 | ~spl34_7),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f842,f196,f102,f164])).
% 157.07/23.82 thf(f102,definition,(
% 157.07/23.82 spl34_3 <=> ($true = (sP3 @ sK29 @ sK30))),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_3])],[avatar_definition])).
% 157.07/23.82 thf(f842,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30))) | ($true != (sK29 @ X0)) | ($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30)))) ) | (~spl34_3 | ~spl34_7)),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f841])).
% 157.07/23.82 thf(f841,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true != (sK29 @ X0)) | ($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30))) | ($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30))) | ($true != $true)) ) | (~spl34_3 | ~spl34_7)),
% 157.07/23.82 inference(forward_demodulation,[status(thm)],[f840,f104])).
% 157.07/23.82 thf(f104,plain,(
% 157.07/23.82 ($true = (sP3 @ sK29 @ sK30)) | ~spl34_3),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f102])).
% 157.07/23.82 thf(f840,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30))) | ($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30))) | ($true != (sK29 @ X0)) | ($true != (sP3 @ sK29 @ sK30))) ) | ~spl34_7),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f839])).
% 157.07/23.82 thf(f839,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true != (sP3 @ sK29 @ sK30)) | ($true != $true) | ($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30))) | ($true != (sK29 @ X0)) | ($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30)))) ) | ~spl34_7),
% 157.07/23.82 inference(superposition,[status(thm)],[f72,f197])).
% 157.07/23.82 thf(f197,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c] : (($true = (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK4 @ X0 @ X1) @ (sK5 @ X0 @ X1) @ (sK5 @ X0 @ X1))) | ((sP3 @ X0 @ X1) != $true)) ) | ~spl34_7),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f196])).
% 157.07/23.82 thf(f72,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X6 : b,X4 : c,X5 : b] : (($true != (sK32 @ X6 @ X5 @ X6 @ X5 @ X5)) | ((X3 @ X4 @ X5) != $true) | ((X3 @ X4 @ X6) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.82 thf(f723,plain,(
% 157.07/23.82 spl34_5 | spl34_19),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f549,f260,f164])).
% 157.07/23.82 thf(f549,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true != (sK29 @ X0)) | ($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30))) | ($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30)))) ) | spl34_19),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f548])).
% 157.07/23.82 thf(f548,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30))) | ($true != $true) | ($true != (sK29 @ X0)) | ($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30)))) ) | spl34_19),
% 157.07/23.82 inference(superposition,[status(thm)],[f262,f80])).
% 157.07/23.82 thf(f80,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X10 : b,X6 : b,X4 : c,X5 : b] : (((sK32 @ X6 @ X5 @ c0 @ X10 @ X10) = $true) | ((X3 @ X4 @ X6) = $true) | ((X3 @ X4 @ X5) != $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f79])).
% 157.07/23.82 thf(f79,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X10 : b,X6 : b,X9 : b,X4 : c,X5 : b] : (((X3 @ X4 @ X5) != $true) | (c0 != X9) | ($true = (sK32 @ X6 @ X5 @ X9 @ X10 @ X10)) | ((X3 @ X4 @ X6) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f75])).
% 157.07/23.82 thf(f75,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X10 : b,X8 : b,X6 : b,X9 : b,X4 : c,X5 : b] : (((X3 @ X4 @ X5) != $true) | (X8 != X10) | (c0 != X9) | ((sK32 @ X6 @ X5 @ X9 @ X8 @ X10) = $true) | ((X3 @ X4 @ X6) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.82 thf(f262,plain,(
% 157.07/23.82 ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ c0 @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | spl34_19),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f260])).
% 157.07/23.82 thf(f716,plain,(
% 157.07/23.82 spl34_5 | spl34_20),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f571,f271,f164])).
% 157.07/23.82 thf(f571,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30))) | ($true != (sK29 @ X0)) | ($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30)))) ) | spl34_20),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f570])).
% 157.07/23.82 thf(f570,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true != (sK29 @ X0)) | ($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30))) | ($true != $true) | ($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30)))) ) | spl34_20),
% 157.07/23.82 inference(superposition,[status(thm)],[f273,f82])).
% 157.07/23.82 thf(f82,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X10 : b,X6 : b,X4 : c,X5 : b] : (($true = (sK32 @ X6 @ X5 @ X10 @ c0 @ X10)) | ((X3 @ X4 @ X5) != $true) | ($true != (sK29 @ X3)) | ((X3 @ X4 @ X6) = $true)) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f81])).
% 157.07/23.82 thf(f81,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X10 : b,X6 : b,X9 : b,X4 : c,X5 : b] : (((X3 @ X4 @ X5) != $true) | (X9 != X10) | ((sK32 @ X6 @ X5 @ X9 @ c0 @ X10) = $true) | ((X3 @ X4 @ X6) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f74])).
% 157.07/23.82 thf(f74,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X10 : b,X8 : b,X6 : b,X9 : b,X4 : c,X5 : b] : (((X3 @ X4 @ X5) != $true) | (c0 != X8) | (X9 != X10) | ((sK32 @ X6 @ X5 @ X9 @ X8 @ X10) = $true) | ((X3 @ X4 @ X6) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.82 thf(f273,plain,(
% 157.07/23.82 ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ c0 @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | spl34_20),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f271])).
% 157.07/23.82 thf(f713,plain,(
% 157.07/23.82 ~spl34_59 | ~spl34_1 | spl34_57),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f703,f688,f94,f710])).
% 157.07/23.82 thf(f703,plain,(
% 157.07/23.82 ($true != (sP2 @ sK30 @ sK29)) | ((sK29 @ (sK16 @ sK30 @ sK29)) != $true) | spl34_57),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f700])).
% 157.07/23.82 thf(f700,plain,(
% 157.07/23.82 ($true != (sP2 @ sK30 @ sK29)) | ((sK29 @ (sK16 @ sK30 @ sK29)) != $true) | ($true != $true) | spl34_57),
% 157.07/23.82 inference(superposition,[status(thm)],[f690,f57])).
% 157.07/23.82 thf(f57,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c,X5 : c > b > $o] : (((sP2 @ X1 @ X0) != $true) | ((X0 @ X5) != $true) | ($true = (X5 @ X1 @ (sK11 @ X1 @ X0)))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f25])).
% 157.07/23.82 thf(f690,plain,(
% 157.07/23.82 ($true != (sK16 @ sK30 @ sK29 @ sK30 @ (sK11 @ sK30 @ sK29))) | spl34_57),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f688])).
% 157.07/23.82 thf(f677,plain,(
% 157.07/23.82 spl34_29 | spl34_52),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f674,f591,f404])).
% 157.07/23.82 thf(f674,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true != (sK29 @ X0)) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true)) ) | spl34_52),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f670])).
% 157.07/23.82 thf(f670,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != (sK29 @ X0)) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29)))) ) | spl34_52),
% 157.07/23.82 inference(superposition,[status(thm)],[f593,f92])).
% 157.07/23.82 thf(f92,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X18 : b,X19 : b,X4 : c,X17 : b,X23 : b] : (((sK33 @ X19 @ X18 @ X17 @ c0 @ X23 @ X23) = $true) | ($true != (sK29 @ X3)) | ((X3 @ X4 @ X17) = $true) | ($true != (X3 @ X4 @ X19)) | ($true != (X3 @ X4 @ X18))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f91])).
% 157.07/23.82 thf(f91,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X18 : b,X19 : b,X4 : c,X17 : b,X22 : b,X23 : b] : (($true != (X3 @ X4 @ X18)) | (X22 != X23) | ((sK33 @ X19 @ X18 @ X17 @ c0 @ X22 @ X23) = $true) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f69])).
% 157.07/23.82 thf(f69,plain,(
% 157.07/23.82 ( ! [X21 : b,X3 : c > b > $o,X18 : b,X19 : b,X4 : c,X17 : b,X22 : b,X23 : b] : (($true != (X3 @ X4 @ X18)) | (c0 != X21) | (X22 != X23) | ((sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23) = $true) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.82 thf(f593,plain,(
% 157.07/23.82 ($true != (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ c0 @ c0 @ c0)) | spl34_52),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f591])).
% 157.07/23.82 thf(f676,plain,(
% 157.07/23.82 spl34_29 | spl34_43),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f675,f489,f404])).
% 157.07/23.82 thf(f675,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != (sK29 @ X0)) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29)))) ) | spl34_43),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f672])).
% 157.07/23.82 thf(f672,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ($true != (sK29 @ X0)) | ($true != $true) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true)) ) | spl34_43),
% 157.07/23.82 inference(superposition,[status(thm)],[f491,f92])).
% 157.07/23.82 thf(f491,plain,(
% 157.07/23.82 ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ c0 @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | spl34_43),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f489])).
% 157.07/23.82 thf(f667,plain,(
% 157.07/23.82 spl34_29 | spl34_45),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f666,f507,f404])).
% 157.07/23.82 thf(f507,definition,(
% 157.07/23.82 spl34_45 <=> ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0 @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_45])],[avatar_definition])).
% 157.07/23.82 thf(f666,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != (sK29 @ X0)) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true)) ) | spl34_45),
% 157.07/23.82 inference(trivial_inequality_removal,[status(thm)],[f664])).
% 157.07/23.82 thf(f664,plain,(
% 157.07/23.82 ( ! [X0 : c > b > $o,X1 : c] : (($true != $true) | ((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ($true != (sK29 @ X0))) ) | spl34_45),
% 157.07/23.82 inference(superposition,[status(thm)],[f509,f87])).
% 157.07/23.82 thf(f87,plain,(
% 157.07/23.82 ( ! [X3 : c > b > $o,X18 : b,X19 : b,X4 : c,X17 : b,X23 : b] : (($true = (sK33 @ X19 @ X18 @ X17 @ X23 @ c0 @ X23)) | ($true != (sK29 @ X3)) | ((X3 @ X4 @ X17) = $true) | ($true != (X3 @ X4 @ X18)) | ($true != (X3 @ X4 @ X19))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f86])).
% 157.07/23.82 thf(f86,plain,(
% 157.07/23.82 ( ! [X21 : b,X3 : c > b > $o,X18 : b,X19 : b,X4 : c,X17 : b,X23 : b] : (($true != (X3 @ X4 @ X18)) | (X21 != X23) | ((sK33 @ X19 @ X18 @ X17 @ X21 @ c0 @ X23) = $true) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(equality_resolution,[status(thm)],[f71])).
% 157.07/23.82 thf(f71,plain,(
% 157.07/23.82 ( ! [X21 : b,X3 : c > b > $o,X18 : b,X19 : b,X4 : c,X17 : b,X22 : b,X23 : b] : (($true != (X3 @ X4 @ X18)) | (c0 != X22) | (X21 != X23) | ((sK33 @ X19 @ X18 @ X17 @ X21 @ X22 @ X23) = $true) | ($true != (X3 @ X4 @ X19)) | ((X3 @ X4 @ X17) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.82 thf(f509,plain,(
% 157.07/23.82 ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0 @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | spl34_45),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f507])).
% 157.07/23.82 thf(f560,plain,(
% 157.07/23.82 spl34_39 | spl34_34 | ~spl34_43 | spl34_32 | spl34_40),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f558,f462,f426,f489,f433,f458])).
% 157.07/23.82 thf(f558,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = $true) | ((sP2 @ X0 @ X1) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ c0 @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | (c0 = (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) ) | spl34_40),
% 157.07/23.82 inference(superposition,[status(thm)],[f464,f55])).
% 157.07/23.82 thf(f55,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c,X7 : b > b > b > $o] : (((sP2 @ X1 @ X0) != $true) | ((sP1 @ (sK15 @ X7) @ (sK13 @ X7) @ (sK14 @ X7) @ X7) = $true) | (c0 = (sK15 @ X7)) | (c0 = (sK13 @ X7)) | ((X7 @ (sK11 @ X1 @ X0) @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f25])).
% 157.07/23.82 thf(f511,plain,(
% 157.07/23.82 spl34_32 | ~spl34_45 | spl34_34 | spl34_37 | spl34_38),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f503,f451,f447,f433,f507,f426])).
% 157.07/23.82 thf(f451,definition,(
% 157.07/23.82 spl34_38 <=> ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0 @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) = $true)),
% 157.07/23.82 introduced(definition,[new_symbols(naming,[spl34_38])],[avatar_definition])).
% 157.07/23.82 thf(f503,plain,(
% 157.07/23.82 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0 @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | ((sP2 @ X0 @ X1) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) | ((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = $true) | (c0 = (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) ) | spl34_38),
% 157.07/23.82 inference(superposition,[status(thm)],[f453,f54])).
% 157.07/23.82 thf(f54,plain,(
% 157.07/23.82 ( ! [X0 : (c > b > $o) > $o,X1 : c,X7 : b > b > b > $o] : ((c0 = (sK13 @ X7)) | ((X7 @ (sK11 @ X1 @ X0) @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true) | ((sP2 @ X1 @ X0) != $true) | ((sK13 @ X7) = (sK14 @ X7)) | ((sP1 @ (sK15 @ X7) @ (sK13 @ X7) @ (sK14 @ X7) @ X7) = $true)) )),
% 157.07/23.82 inference(cnf_transformation,[status(thm)],[f25])).
% 157.07/23.82 thf(f453,plain,(
% 157.07/23.82 ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0 @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | spl34_38),
% 157.07/23.82 inference(avatar_component_clause,[status(thm)],[f451])).
% 157.07/23.82 thf(f510,plain,(
% 157.07/23.82 spl34_32 | spl34_34 | spl34_33 | ~spl34_45 | spl34_38),
% 157.07/23.82 inference(avatar_split_clause,[status(thm)],[f502,f451,f507,f429,f433,f426])).
% 157.07/23.83 thf(f502,plain,(
% 157.07/23.83 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sP2 @ X0 @ X1) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) | ((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = $true) | ((sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0 @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true)) ) | spl34_38),
% 157.07/23.83 inference(superposition,[status(thm)],[f453,f52])).
% 157.07/23.83 thf(f52,plain,(
% 157.07/23.83 ( ! [X0 : (c > b > $o) > $o,X1 : c,X7 : b > b > b > $o] : (((sP1 @ (sK15 @ X7) @ (sK13 @ X7) @ (sK14 @ X7) @ X7) = $true) | ((sP2 @ X1 @ X0) != $true) | ((X7 @ (sK11 @ X1 @ X0) @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true) | ((sK13 @ X7) = (sK14 @ X7)) | ((sK14 @ X7) = (sK15 @ X7))) )),
% 157.07/23.83 inference(cnf_transformation,[status(thm)],[f25])).
% 157.07/23.83 thf(f465,plain,(
% 157.07/23.83 spl34_32 | spl34_39 | ~spl34_40 | spl34_34 | spl34_30),
% 157.07/23.83 inference(avatar_split_clause,[status(thm)],[f417,f407,f433,f462,f458,f426])).
% 157.07/23.83 thf(f417,plain,(
% 157.07/23.83 ( ! [X0 : c,X1 : (c > b > $o) > $o] : ((c0 = (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) | ($true != (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))))) | ((sP2 @ X0 @ X1) != $true) | ((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = $true)) ) | spl34_30),
% 157.07/23.83 inference(superposition,[status(thm)],[f409,f53])).
% 157.07/23.83 thf(f53,plain,(
% 157.07/23.83 ( ! [X0 : (c > b > $o) > $o,X1 : c,X7 : b > b > b > $o] : (((sP2 @ X1 @ X0) != $true) | ((X7 @ (sK11 @ X1 @ X0) @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true) | ((sP1 @ (sK15 @ X7) @ (sK13 @ X7) @ (sK14 @ X7) @ X7) = $true) | (c0 = (sK15 @ X7)) | ((sK14 @ X7) = (sK15 @ X7))) )),
% 157.07/23.83 inference(cnf_transformation,[status(thm)],[f25])).
% 157.07/23.83 thf(f409,plain,(
% 157.07/23.83 ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | spl34_30),
% 157.07/23.83 inference(avatar_component_clause,[status(thm)],[f407])).
% 157.07/23.83 thf(f455,plain,(
% 157.07/23.83 spl34_34 | spl34_33 | spl34_32 | ~spl34_38 | spl34_30),
% 157.07/23.83 inference(avatar_split_clause,[status(thm)],[f418,f407,f451,f426,f429,f433])).
% 157.07/23.83 thf(f418,plain,(
% 157.07/23.83 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0 @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | ((sP2 @ X0 @ X1) != $true) | ((sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true)) ) | spl34_30),
% 157.07/23.83 inference(superposition,[status(thm)],[f409,f53])).
% 157.07/23.83 thf(f454,plain,(
% 157.07/23.83 spl34_37 | spl34_32 | ~spl34_38 | spl34_34 | spl34_30),
% 157.07/23.83 inference(avatar_split_clause,[status(thm)],[f415,f407,f433,f451,f426,f447])).
% 157.07/23.83 thf(f415,plain,(
% 157.07/23.83 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ c0 @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | ((sP1 @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) = $true) | (c0 = (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK11 @ X0 @ X1) @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) | ((sP2 @ X0 @ X1) != $true)) ) | spl34_30),
% 157.07/23.83 inference(superposition,[status(thm)],[f409,f55])).
% 157.07/23.83 thf(f410,plain,(
% 157.07/23.83 spl34_29 | ~spl34_30 | ~spl34_1),
% 157.07/23.83 inference(avatar_split_clause,[status(thm)],[f402,f94,f407,f404])).
% 157.07/23.83 thf(f402,plain,(
% 157.07/23.83 ( ! [X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ($true != (sK29 @ X0)) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true)) ) | ~spl34_1),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f401])).
% 157.07/23.83 thf(f401,plain,(
% 157.07/23.83 ( ! [X0 : c > b > $o,X1 : c] : (((X0 @ X1 @ (sK10 @ sK30 @ sK29)) != $true) | ((X0 @ X1 @ (sK11 @ sK30 @ sK29)) != $true) | ($true = (X0 @ X1 @ (sK12 @ sK30 @ sK29))) | ($true != $true) | ((sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29) @ (sK13 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK15 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) @ (sK14 @ (sK33 @ (sK10 @ sK30 @ sK29) @ (sK11 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) != $true) | ($true != (sK29 @ X0))) ) | ~spl34_1),
% 157.07/23.83 inference(superposition,[status(thm)],[f68,f385])).
% 157.07/23.83 thf(f385,plain,(
% 157.07/23.83 ( ! [X0 : b > b > b > $o] : (($true = (X0 @ (sK11 @ sK30 @ sK29) @ (sK10 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29))) | ((X0 @ (sK13 @ X0) @ (sK15 @ X0) @ (sK14 @ X0)) != $true)) ) | ~spl34_1),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f376])).
% 157.07/23.83 thf(f376,plain,(
% 157.07/23.83 ( ! [X0 : b > b > b > $o] : (((X0 @ (sK13 @ X0) @ (sK15 @ X0) @ (sK14 @ X0)) != $true) | ($true != $true) | ($true = (X0 @ (sK11 @ sK30 @ sK29) @ (sK10 @ sK30 @ sK29) @ (sK12 @ sK30 @ sK29)))) ) | ~spl34_1),
% 157.07/23.83 inference(superposition,[status(thm)],[f51,f96])).
% 157.07/23.83 thf(f373,plain,(
% 157.07/23.83 ~spl34_4 | spl34_2),
% 157.07/23.83 inference(avatar_split_clause,[status(thm)],[f372,f98,f107])).
% 157.07/23.83 thf(f107,definition,(
% 157.07/23.83 spl34_4 <=> ((sK29 @ sK31) = $true)),
% 157.07/23.83 introduced(definition,[new_symbols(naming,[spl34_4])],[avatar_definition])).
% 157.07/23.83 thf(f98,definition,(
% 157.07/23.83 spl34_2 <=> ($true = (sK31 @ sK30 @ c0))),
% 157.07/23.83 introduced(definition,[new_symbols(naming,[spl34_2])],[avatar_definition])).
% 157.07/23.83 thf(f372,plain,(
% 157.07/23.83 ((sK29 @ sK31) != $true) | spl34_2),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f371])).
% 157.07/23.83 thf(f371,plain,(
% 157.07/23.83 ($true != $true) | ((sK29 @ sK31) != $true) | spl34_2),
% 157.07/23.83 inference(superposition,[status(thm)],[f100,f76])).
% 157.07/23.83 thf(f76,plain,(
% 157.07/23.83 ( ! [X3 : c > b > $o,X4 : c] : (((X3 @ X4 @ c0) = $true) | ($true != (sK29 @ X3))) )),
% 157.07/23.83 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.83 thf(f100,plain,(
% 157.07/23.83 ($true != (sK31 @ sK30 @ c0)) | spl34_2),
% 157.07/23.83 inference(avatar_component_clause,[status(thm)],[f98])).
% 157.07/23.83 thf(f355,plain,(
% 157.07/23.83 ~spl34_3 | ~spl34_3 | ~spl34_5),
% 157.07/23.83 inference(avatar_split_clause,[status(thm)],[f350,f164,f102,f102])).
% 157.07/23.83 thf(f350,plain,(
% 157.07/23.83 ($true != (sP3 @ sK29 @ sK30)) | (~spl34_3 | ~spl34_5)),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f347])).
% 157.07/23.83 thf(f347,plain,(
% 157.07/23.83 ($true != (sP3 @ sK29 @ sK30)) | ($true != $true) | (~spl34_3 | ~spl34_5)),
% 157.07/23.83 inference(superposition,[status(thm)],[f342,f130])).
% 157.07/23.83 thf(f130,plain,(
% 157.07/23.83 ( ! [X0 : c] : (($true = (sK6 @ sK29 @ sK30 @ X0 @ (sK5 @ sK29 @ X0))) | ((sP3 @ sK29 @ X0) != $true)) ) | ~spl34_3),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f127])).
% 157.07/23.83 thf(f127,plain,(
% 157.07/23.83 ( ! [X0 : c] : (($true != $true) | ($true = (sK6 @ sK29 @ sK30 @ X0 @ (sK5 @ sK29 @ X0))) | ((sP3 @ sK29 @ X0) != $true)) ) | ~spl34_3),
% 157.07/23.83 inference(superposition,[status(thm)],[f46,f125])).
% 157.07/23.83 thf(f125,plain,(
% 157.07/23.83 ($true = (sK29 @ (sK6 @ sK29 @ sK30))) | ~spl34_3),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f117])).
% 157.07/23.83 thf(f117,plain,(
% 157.07/23.83 ($true = (sK29 @ (sK6 @ sK29 @ sK30))) | ($true != $true) | ~spl34_3),
% 157.07/23.83 inference(superposition,[status(thm)],[f47,f104])).
% 157.07/23.83 thf(f47,plain,(
% 157.07/23.83 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (($true != (sP3 @ X1 @ X0)) | ((X1 @ (sK6 @ X1 @ X0)) = $true)) )),
% 157.07/23.83 inference(cnf_transformation,[status(thm)],[f19])).
% 157.07/23.83 thf(f46,plain,(
% 157.07/23.83 ( ! [X0 : c,X1 : (c > b > $o) > $o,X5 : c > b > $o] : (($true = (X5 @ X0 @ (sK5 @ X1 @ X0))) | ($true != (sP3 @ X1 @ X0)) | ((X1 @ X5) != $true)) )),
% 157.07/23.83 inference(cnf_transformation,[status(thm)],[f19])).
% 157.07/23.83 thf(f342,plain,(
% 157.07/23.83 ($true != (sK6 @ sK29 @ sK30 @ sK30 @ (sK5 @ sK29 @ sK30))) | (~spl34_3 | ~spl34_5)),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f341])).
% 157.07/23.83 thf(f341,plain,(
% 157.07/23.83 ($true != (sK6 @ sK29 @ sK30 @ sK30 @ (sK5 @ sK29 @ sK30))) | ($true != $true) | (~spl34_3 | ~spl34_5)),
% 157.07/23.83 inference(forward_demodulation,[status(thm)],[f340,f125])).
% 157.07/23.83 thf(f340,plain,(
% 157.07/23.83 ($true != (sK29 @ (sK6 @ sK29 @ sK30))) | ($true != (sK6 @ sK29 @ sK30 @ sK30 @ (sK5 @ sK29 @ sK30))) | (~spl34_3 | ~spl34_5)),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f338])).
% 157.07/23.83 thf(f338,plain,(
% 157.07/23.83 ($true != (sK29 @ (sK6 @ sK29 @ sK30))) | ($true != (sK6 @ sK29 @ sK30 @ sK30 @ (sK5 @ sK29 @ sK30))) | ($true != $true) | (~spl34_3 | ~spl34_5)),
% 157.07/23.83 inference(superposition,[status(thm)],[f122,f165])).
% 157.07/23.83 thf(f165,plain,(
% 157.07/23.83 ( ! [X0 : c > b > $o,X1 : c] : (($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30))) | ($true != (sK29 @ X0)) | ($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30)))) ) | ~spl34_5),
% 157.07/23.83 inference(avatar_component_clause,[status(thm)],[f164])).
% 157.07/23.83 thf(f122,plain,(
% 157.07/23.83 ((sK6 @ sK29 @ sK30 @ sK30 @ (sK4 @ sK29 @ sK30)) != $true) | ~spl34_3),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f118])).
% 157.07/23.83 thf(f118,plain,(
% 157.07/23.83 ((sK6 @ sK29 @ sK30 @ sK30 @ (sK4 @ sK29 @ sK30)) != $true) | ($true != $true) | ~spl34_3),
% 157.07/23.83 inference(superposition,[status(thm)],[f48,f104])).
% 157.07/23.83 thf(f48,plain,(
% 157.07/23.83 ( ! [X0 : c,X1 : (c > b > $o) > $o] : (($true != (sP3 @ X1 @ X0)) | ((sK6 @ X1 @ X0 @ X0 @ (sK4 @ X1 @ X0)) != $true)) )),
% 157.07/23.83 inference(cnf_transformation,[status(thm)],[f19])).
% 157.07/23.83 thf(f170,plain,(
% 157.07/23.83 spl34_5 | ~spl34_6 | ~spl34_3),
% 157.07/23.83 inference(avatar_split_clause,[status(thm)],[f162,f102,f167,f164])).
% 157.07/23.83 thf(f162,plain,(
% 157.07/23.83 ( ! [X0 : c > b > $o,X1 : c] : (($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30))) | ($true != (sK29 @ X0)) | ($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30))) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true)) ) | ~spl34_3),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f161])).
% 157.07/23.83 thf(f161,plain,(
% 157.07/23.83 ( ! [X0 : c > b > $o,X1 : c] : (($true != (sK29 @ X0)) | ((sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK7 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK9 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30))) @ (sK8 @ (sK32 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)))) != $true) | ($true != (X0 @ X1 @ (sK5 @ sK29 @ sK30))) | ($true != $true) | ($true = (X0 @ X1 @ (sK4 @ sK29 @ sK30)))) ) | ~spl34_3),
% 157.07/23.83 inference(superposition,[status(thm)],[f72,f119])).
% 157.07/23.83 thf(f119,plain,(
% 157.07/23.83 ( ! [X0 : b > b > b > $o] : (((X0 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)) = $true) | ($true != (X0 @ (sK7 @ X0) @ (sK9 @ X0) @ (sK8 @ X0)))) ) | ~spl34_3),
% 157.07/23.83 inference(trivial_inequality_removal,[status(thm)],[f115])).
% 157.07/23.83 thf(f115,plain,(
% 157.07/23.83 ( ! [X0 : b > b > b > $o] : (($true != $true) | ($true != (X0 @ (sK7 @ X0) @ (sK9 @ X0) @ (sK8 @ X0))) | ((X0 @ (sK4 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30) @ (sK5 @ sK29 @ sK30)) = $true)) ) | ~spl34_3),
% 157.07/23.83 inference(superposition,[status(thm)],[f45,f104])).
% 157.07/23.83 thf(f110,plain,(
% 157.07/23.83 spl34_3 | spl34_4 | spl34_1),
% 157.07/23.83 inference(avatar_split_clause,[status(thm)],[f77,f94,f107,f102])).
% 157.07/23.83 thf(f77,plain,(
% 157.07/23.83 ($true = (sP3 @ sK29 @ sK30)) | ($true = (sP2 @ sK30 @ sK29)) | ((sK29 @ sK31) = $true)),
% 157.07/23.83 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.83 thf(f105,plain,(
% 157.07/23.83 spl34_1 | ~spl34_2 | spl34_3),
% 157.07/23.83 inference(avatar_split_clause,[status(thm)],[f78,f102,f98,f94])).
% 157.07/23.83 thf(f78,plain,(
% 157.07/23.83 ($true = (sP2 @ sK30 @ sK29)) | ($true != (sK31 @ sK30 @ c0)) | ($true = (sP3 @ sK29 @ sK30))),
% 157.07/23.83 inference(cnf_transformation,[status(thm)],[f40])).
% 157.07/23.83 % SZS output end Proof for DTF2THF_24928
% 157.07/23.83 % (25694)------------------------------
% 157.07/23.83 % (25694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 157.07/23.83 % (25694)Termination reason: Refutation
% 157.07/23.83
% 157.07/23.83 % (25694)Memory used [KB]: 9338
% 157.07/23.83 % (25694)Time elapsed: 0.946 s
% 157.07/23.83 % (25694)Instructions burned: 2297 (million)
% 157.07/23.83 % (25694)------------------------------
% 157.07/23.83 % (25694)------------------------------
% 157.07/23.83 % (25067)Success in time 22.643 s
%------------------------------------------------------------------------------